-4x - 8 = -(5x + 3) pleasee

Answers

Answer 1

hopefully it's correct!!

-4x - 8 = -(5x + 3) Pleasee
Answer 2

Answer:

x = 5

Step-by-step explanation:

-(5x + 3) --> -5x - 3

-4x - 8 = -5x - 3

-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)

-4x = -5x + 5

-4x + 5x = -5x + 5 + 5x (add 5 to both sides)

x = 5


Related Questions

Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)

Answers

Answer:

A = 3x² - x - 10

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width , then

A = (3x + 5)(x - 2)

each term in the second factor is multiplied by each term in the first factor.

A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis

   = 3x² - 6x + 5x - 10 ← collect like terms

   = 3x² - x - 10

Answer:

A = 3x² - x - 10

Step-by-step explanation:

A = length × width

A = (3x + 5)(x - 2)

A = 3x(x - 2) + 5(x - 2)

A = 3x² - 6x + 5x - 10

A = 3x² - x - 10

HELPPPPPPPPP!
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart

Answers

Answer:

30%

Step-by-step explanation:

So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)

9/30 = 0.3

Now we multiply the 0.3 by 100 to get it as a percent!

0.3 x 100 = 30%

Now you know how to find the probability of an object!

Have a great day!!

Please rate and mark brainliest!!

Answer:  3/10

Explanation:

Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".

This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10

Help please!!! 100 points

Answers

Answer:

I think the file of the picture is corrupted because it is not loading

Step-by-step explanation:

Answer: A

Step-by-step explanation:

P

E

M

A

S

PA ANSWERR NEED SOME ANSWERS THNKS

Answers

Answer:

16. j = 105 °

17. Q = 68 °

18. s = 97 °

19. t = 70 °

20. r = 125 °

Step-by-step explanation:

16. Name the angle that is supplementary to angle J as K, and label the angle that is next to K as G

Angle G = 105, because it is corresponding to the 105 angle.

Since G is supplementary to K, angle K = 75.

So, J = 105

17. Name the angle that is supplementary to angle Q as R

Angle R = 112, because it is corresponding to the 112 angle.

Since R is supplementary to Q, angle Q = 68.

18. Name the angle that is supplementary to the 83 angle as L
Angle L = 97, since angle L and the 83 angle are supplementary angles

-> Angle S = 97, since S and L are alternate angles

19. Angle T = 70, since angle T and the 70 angle are corresponding angles.

20. Name the angle that are alternate angles with angle R as Q

Angle Q = 125, because it is corresponding to the 125 angle.

Since angle Q and angle R are alternate angles, angle R = 125.

(Note : alternate angles and corresponding angles are equal to each other, supplementary angles add up to 180.)

The lengths of the diagonals of a rhombus are 24cm and 18 cm respectively. What is the perimeter/

Answers

keeping in mind that in a rhombus all sides are equal, Check the picture below.

The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

What is a rhombus?

A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.

This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.

We have:

The length of the diagonals of the rhombus is 24 cm and 18 cm

As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.

So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.

a = 24/2 = 12 cm

b = 18/2 = 9 cm

From the Pythagoras theorem the length of the hypotenuse:

[tex]c = \sqrt{12^2+9^2}[/tex]

c = 15 cm

Now the perimeter will be:

The perimeter of the rhombus = 4(15) = 60 cm

Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

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It's Eva's turn to bring the halftime snacks for her soccer team. She helps her dad cut up
oranges and wash grapes, and they load everything into a cooler shaped like a rectangular
prism. The cooler is 22.5 inches long, 12 inches wide, and has a volume of 4,320 cubic
inches.

How tall is the cooler?

Write your answer as a whole number or decimal. Do not round.

Answers

Answer:

Volume = a.b.c = k^3  

Step-by-step explanation:

Volume = a * 22.5 * 12 = 4320

a = 16 inches

Just need help, can't remember how to solve it.

Answers

This should help I even showed my work

Use your TI-83 to determine the necessary t* value for a 90% confidence interval
based on a sample size of 55 and a sample standard deviation of 7.42.

2.005
1.669
1.96
1.645
2.67

Answers

Answer:

Step-by-step explanation:

It is 1.645. My calculator is a little off though; see attached picture.

20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.

Answers

Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.

Step-by-step explanation: I just took the test.

The correct answer is the frostbite cases and sledding accidents were not randomly selected.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.

if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.

In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.

Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents

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I need help with this one plis quickly !!!

Answers

Answer:

3

Step-by-step explanation:

Hard to see but pretty sure thats it


I need help this is so confusing

Answers

Point c is quadrant 2,point T is quadrant 1,point R is x axis , point h is quadrant 3

so point C would be on Quadrant I

T on Quadrant II, H on Quadrant III and R is not really on a quadrant, the coordinate is on the X axis.

Help assappp

Line L is a line that passes through (-4,5)
and is parallel to the line described by
y-7=-2(x+1). Write the equation
of line l in point-slope form

Answers

Answer:

y-5=-2(x+4)

Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.

Which expression is equivalent to –12 – 40?

Answers

the answer would be the equation: -12+ -40

At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50

Answers

A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,

Number of French People = 10% of the number of people in the conference

[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]

Hence, the number of French people at the conference is 50.

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A researcher is studying the relationship between the number of TVs owned by a family and the size of the family's electric bill. After collecting data, he finds that the relationship is best modeled by the equation B = 2.43T + 95.66, where B is one month's electric bill in dollars and T is the number of TVs owned by the family. Which of these is a good interpretation of the y-intercept of this model?

Answers

Answer:

Step-by-step explanation:

No choice is given but here is the general interpretation.

Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.

Given function

B=2.43T+95.66

Now

Compare to slope intercept form y=mx+b

Slope=m=2.43Y intercept=b=95.66

Here y intercept may be the fixed charge .

AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter

Answers

Answer:

n = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )

[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15

write 0.0569 correct to one significant figure

Answers

Answer:

0.05

Step-by-step explanation:

- All zeros before any non-zero digit in decimal are non-significant.

-All zeros after any non-zero digit in decimal are significant.

Therefore, the answer is 0.05.

The fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?​

Answers

Hey there!

Easy word problem

Since there are 84 students total and their goal is to collect 16 cans

We multiply

=> 84 × 16 ⇒ 1,344

Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal

4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3​

Answers

Answer:

multiplication, so d, 2 x 3

Step-by-step explanation:

remember... PEMDAS!!

Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.

A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°

Answers

Answer:

40.2

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]

[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]

[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]

Round 68.09 to 2 Sf please

Answers

68
I hope you understand this

A storage compartment is shaped like this hexagonal prism. The prism has a base area of 7.35 cm².

What is the volume of the compartment?

Enter your answer as a decimal in the box.

cm³

Answers

The volume of the compartment shaped like this hexagonal prism is 29.4 cm³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a hexagonal prism = area of base * height

Hence:

Volume = 7.35 cm² * 4 cm = 29.4 cm³

The volume of the compartment shaped like this hexagonal prism is 29.4 cm³

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Answer:

The answer is 29.4 cm^3! The first user has it correct dont worry guys^_^

Step-by-step explanation:

I took the k12 4.12 Unit Test: Three-Dimensional Geometry - and got a 90% ^_^
Good luck with the rest of the questions! If you had question 4 "A minuture connector is shaped like a hexagonal prism. The prism has a base area of 8.15 cm^3. What is the volume of the compartment?"
Then your answer would be 32.6 cm^3

John, Cindy, and Isaiah went to the store to buy school supplies. John bought 2 pens, 3 folders, and 4 notebooks for a total of $20. Cindy bought 5 folders and 5 notebooks for a total of $25. Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11

Answers

Using a system of equations, it is found that:

Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: The cost of a pen.Variable y: The cost of a folder.Variable z: The cost of a notebook

John bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:

2x + 3y + 4z = 20.

Cindy bought 5 folders and 5 notebooks for a total of $25, hence:

5y + 5z = 25.

x + z = 5.

x = 5 - z.

Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:

3x + y + 2z = 11.

y = 11 - 3x - 2z

Replacing the second and the third equation on the first, we have that:

2x + 3y + 4z = 20.

2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.

10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.

2z + 3(11 - 15 + 3z - 2z) = 10

2z + 3(z - 4) = 10

5z = 22.

z = 4.4

x = 5 - z = 5 - 4.4 = 0.6

y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.

Hence:

Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.

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Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built? (1 point) 0.06 ft × 0.1 ft 0.3 ft × 0.5 ft 0.03 ft × 0.05 ft 0.6 ft × 01 ft

Answers

Answer:

0.6 x 0.1

Step-by-step explanation:

PLEASE HELP. I need to create a roller coaster that consists of at least 4 different degree 3 and above polynomials.the polynomials must be connected to one another without any graphs. It has to be 5-6 minutes long. the start height must be at least 200 feet but no greater than 300 feet. the maximum height of the roller coaster must not be greater than 400 feet. The track must go into an under tunnel that is 20 feet or less at least once. the maximum depth of the tunnel must not be greater that 50 feet. No drop can be too steep. I will give 100 points​

Answers

Answer:

add it all up

Step-by-step explanation:

Help please thank youuu

Answers

Answer:

18 mi^2

...

...

...

...

...

Answer:

  42 square miles

Step-by-step explanation:

The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.

Triangle

The area of the triangle at the top of the figure is ...

  A = 1/2bh

  A = 1/2(6 mi)(3 mi) = 9 mi²

Overall rectangle

The area of the overall rectangle (including the space at lower right) is ...

  A = LW

  A = (9 mi)(5 mi) = 45 mi²

Deleted space

The area of the rectangle at lower right that is not included in the shaded area is ...

  A = LW

  A = (4 mi)(3 mi) = 12 mi²

Total area

The total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.

  total area = 9 mi² +45 mi² -12 mi² = 42 mi²

The area of the figure is 42 square miles.

_____

Additional comment

Other ways to divide the figure into two rectangles are ...

extend the vertical line to make a 9×2 and a 3×5 rectangleextend the horizontal line to make a 4×2 and a 5×5 rectangle

I need help please….

Answers

Answer:

C. 7/20

Step-by-step explanation:

There are 20 arrival times on the table.

7 of those twenty are before 8:20.

p(before 8:20) = 7/20

Answer: C. 7/20

About 11,000 species of Lepidoptera (butterflies and moths) have been identified in the United States. Only 679 of them are butterflies. What is the percentage of the Lepidoptera species in the United States are butterflies?

*Science+Math*

Answers

Answer:

total no. of butterflies=11000

no.of butterflies=679

percentage of butterflies=?

Percentage of butterflies= (11000/679) percent..

= 16.20 percentage

therefore 16.20 percentage butterflies are in US

Given cosθ = 3/5, find the five other trigonometric function values. 15

Answers

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]

The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

sin(θ) =  4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We're given that:

cosθ = 3/5 for some angle θ

Since we've got:

[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]

Therefore, we have:

[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]

Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).

(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)

Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:

[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]

(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).

Thus, we have:

From the perspective of the angle θ:

Length of the base = 3 unitsLength of the perpendicular = 4 unitsLength of the hypotenuse = 5 units.

Thus, using these values, and the definition of the trigonometric ratios, we get:

sin(θ) =  4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4

Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:

sin(θ) =  4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4

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Which of the following equations could be used to solve for the tenth term of the following sequence? 15,13,11,9,… A(10)=15+10(-2), A(10)=15+9(-2),A(10)=15+10(2),A(10)=15+9(2)

Answers

Answer:

the first one

Step-by-step explanation:

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Use Demos Graphing CalculatorRob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercisinghorses and $10 an hour cleaning stalls. Because Rob is a full-time student, he canwork no more than 12 hours per week. However, he must make at least $60 perweek.Which of the following is a possible solution for this system of inequalities?A. 1 hour exercising and 1 hour cleaning B. Two hours exercising and five hours of cleaningC. Seven hours of exercising and eight hours of cleaningD. Two hours exercising and eight hours cleaning [tex] \\ { \rm{If \: }{\tt{A = \left [ \: \begin{array}{ c c c} \: \: \: \: 2 & -3 & - 5 \\ - 1 & \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: 1& - 3 & - 4\end{array} \: \: \: \right] \: and \: B = \left[\begin{array}{c c c} \: \: \: \: 2 & - 2 & - 4 \\ - 1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & - 2 & - 3\end{array} \right]}}}, { \rm{shown \: that \: AB = A \: and \: BA = B}}[/tex][tex] \: [/tex]Don't Spam Explain well This type of greeting has less germ transmission. When doing an elbow bump, what bones are touching?Carpals to CarpalsHumerus to HumerusUlna to UlnaRadius to Radius 3Lucas and Zoe visit their mother on April 7th. From then on, Lucas visits his mother everyfifth day and Zoe visits every eighth day. On what date will Lucas and Zoe both next visit theirmother at the same time? ILL GIVE THE BRAINLIEST TO THE PERSON WHO DOES THIS FOR ME THANK YOU(Statistics hw) How many moles are in 4. 75 x 1025 molecules of O2? Please help math in the sreenshot What role does magic have in Latin American society? For a sample of n = 16 scores, what is the value of the population standard deviation (o) necessary to produce each of the following standard error values?a. = 8 pointsb. =4 points. = 1 point Tear off a small, flat sheet of waxed paper. Use the pipette to dispense a drop of water on the waxed paper. Now, dry the pipette, and use it to dispense a drop of oil on the waxed paper next to the water drop. Be sure the two drops are not touching. Compare and describe the appearance of both drops. d If the width of a rectangle with perimeter P is 6 units, what is its length? What is the area of a triangle with a base of 10 cm and a height of 12 cm?60 square cm22 square cm120 square cm32 square cm Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the afternoon. How many pizzas did they sell in all that day? Show your work and check whether your answer makes sense. Show how you can tell that your answer makes sense How old was drew seeley in another cinderella story. 1. two positive numbers are ina ratio of 3:4. the sum ofthree times the first and twotimes the second is 68. findthe smaller number?solution How should the CEO open his remarks to draw in the audience and ensure his introduction is effective Use the multiplier method to increase 56 by 14% you must show your working out Screen reading for extended periods can cause___________ _____________, so the position the monitor to minimize glare and give your eyes a short break every half hour. Which of the following does NOT limit the influence of the mass media on public opinion?a.Only a small part of the public pays attention to politics.b.Voters tend to pay attention to sources with which they disagree.c.Most television programs have little to do with public affairs.d.Voters tend to pay attention to sources with which they agree. What is the maximum amount of good y that can be purchased if x and y are the only two goods available for purchase and px = $10, py = $20, x = 0, and m = 400?