5 1/3 - 2/3
= (5 – 0) + (1/3-2/3)
= 5 + 1-2/3
= 5 +-1/3
= 4 2/3
in fraction:
= 4 2/3
in decimal:
= 4.6666666666667
Hi, I need help with this math question. Can you pls help me?
The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.
Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35
So, this geometric sequence is 5 ; 35 ; 245 and so on.
-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)
Answer:
7
Step-by-step explanation:
Given:
First term = 5Third term = 245Let the second term be "x".
⇒ 5, x, 245...
Thus, the following equations:
5 × (something) = xx × (something) = 245To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.
⇒ [5 × (something)] = x
⇒ [5 × (something)]/5 = x/5
⇒ (something) = x/5
⇒ x × (something) = 245
⇒ [x × (something)]/x = 245/x
⇒ (something) = 245/x
Now, let's compare both the results of (something).
⇒ x/5 = 245/x
⇒ x² = 5 x 245
⇒ x² = 1225
⇒ x = √1225 = 35
Substitute the second term into the sequence.
⇒ 5, x, 245 = 5, 35, 245
Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.
PLEASE FIND WHAT EACH SQUARE IS WORTH AND THE TRAPEZOID AREA! WILL AWARD BRAINLIEST
Answer:
10.5 units squared
Step-by-step explanation:
just count the squares up or use the formula (a+b)/2 * h .
Not sure what "each square is worth means" sorry, if you clarify I can answer
one square is 2 cm swuared.
trapezoid area = 1/2h(b1+b2)
area = 1/2(6)(10+4)
area = 3*14
area =42
It’s easy yk bro i just need some helpp with it
Answer:
I think you need to link a picture or something
Step-by-step explanation:
The length of a rectangular fam is 15 inches, and the width of the frame is 8 inches. What
is the length of a diagonal of this frame in inches?
Record your answer below. Just the number.
Answer: 17 inches
Step-by-step explanation:
The formula for finding the length of a diagonal in a rectangle is [tex]d=\sqrt{w^2+l^2}[/tex]
Where
d is the diagonal
w is the width (8 for this)
l is the length (15 for this)
Sub these values into the equation
[tex]d=\sqrt{w^2+l^2}\\d=\sqrt{(8)^2+(15)^2}[/tex]
Solve
[tex]d=\sqrt{(8)^2+(15)^2}\\d=\sqrt{64+225}\\d=\sqrt{289}\\d=17[/tex]
Does anybody know this? I really need help.
Answer:
22 is th area
Step-by-step explanation:
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).
Answer:
[tex](f-g)(x)=-x^{2}+2x+8[/tex]
Step-by-step explanation:
[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]
[tex]=2x+1-\left( x^{2}-7\right)[/tex]
[tex]=2x+1-x^{2}+7[/tex]
[tex]=-x^{2}+2x+8[/tex]
Solve the equation using inverse operations. 40=m/2
Answer:
m = 80
Step-by-step explanation:
40 = [tex]\frac{m}{2}[/tex] ( multiply both sides by 2 )
80 = m
I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5
Answer:
a) -2
b) y = -2x + 6
Step-by-step explanation:
Question (a)
Point A = (-1, -2)
Point B = (7, 2)
[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]
If lines are perpendicular to each other, the product of their gradients will be -1.
Let g be the gradient of the perpendicular line:
[tex]\implies \sf \dfrac12 \times g=-1[/tex]
[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]
Therefore, the gradient of the line perpendicular to AB is -2
---------------------------------------------------------------------------------------------
Question (b)
[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]
[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]
[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]
We now know the gradient and a point on the perpendicular line.
So we can use the point-slope form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-2(x-3)[/tex]
[tex]\implies \sf y=-2x+6[/tex]
PLEASE HELP WILL GIVE 50 POINTS to the right answer
Answer:
)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!
m∠MFE = 28°
======================
Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line
A straight line has total 180° angle.→ m∠MFE + m∠MFP + m∠PFR = 180°
x + 6 + 90° + 3(x) - 4° = 180°4(x) + 92° = 180°4(x) = 180° - 92°4(x) = 88°x = 22°Solve for m∠MFE
x + 622° + 6°28°A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.
If 20 is added to the line plot, what effects will it have on the mean and median?
Answer:
I do not know the full answer but its not the mean dropping
Step-by-step explanation:
i said the mean dropping and I got it wrong.
Answer:
The mean will change more than the median
Step-by-step explanation:
Write the measure of this missing angle
Answer:
c= 30
Step-by-step explanation:
To find the value of c, start by forming an equation using the ∠ sum of ∆ property.
c° +60° +90°= 180° (∠ sum of ∆)
Simplify:
c° + 150°= 180°
c°= 180° -150°
c°= 30°
c= 30
Notes:
The sum of the angles in a triangle is 180°, which is abbreviated as '∠ sum of ∆'. The angle indicated by a square is called a right angle, and has a value of 90°.Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.
Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.
Carly:-
L=15.3B=8.7Area:-
LB15.3(8.7)133.11ft^2#Carter
L=14.4B=9.6Area:-
14.4(9.6)138.24ft^2Carter's room is expensive
Simplify the expression
Answer:
[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]
The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...
[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]
We now have to simplify this expression. Let's do that.
[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]
Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!
[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]
With that information, we have solved the problem, your final answer is tanɵ
What have we learned?
We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?
Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.
[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] ÷ 4
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]
Multiply the numerators and denominators and you will get: [tex]\frac{1}{8}[/tex]
Hope this helped!
Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
yes it is true and second is false
Find the value of this expression if x = 3.
x2 + 3/X
Answer:
7
Step-by-step explanation:
Pls help! I really need help! This is my question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?
Answer:
density= 2 and 1/2
Step-by-step explanation:
The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]
so the mass is 100, and the volume is 2x4=8x6=48, 100/48 equals 2 and 1/2
please help me with this math
Answer:
Step-by-step explanation:
Please help!
Complete the statements to compare the areas of the two figures and find the area of the base of the cylinder.
Select the correct answer from each drop-down menu.
When the sectors of the circle are rearranged, they are close to forming a _____(rectangle/square/trapezoid) with a length of___ (2*pi*r/pi*r/r) units and a width of r units.
The area of the rearranged figure is_____ (equal/greater than/less than) to that of the circle. So, the area of the circular base_____(pi*r/pi*r*r/2*pi*r/2*pi*r) square units.
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
What is a Trapezoid?A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.
Learn more about Trapezoid at:
https://brainly.com/question/1410008
Answer:
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
Step-by-step explanation:
I got it right on Edmentum
how to solve (4s - 5t)²
Answer:
Step-by-step explanation:
6)Janel wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at
ads and finds these prices: $24,600, $19,000, $33,000, $15,000, and 20,000. What is the mean
price?
Prices given by
24,60019000330001500020000Mean:-
[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]
[tex]\\ \rm\Rrightarrow 22220\$[/tex]
mean price = $22320
mean is the average of a set of given numbers
set { $24,600, $19,000, $33,000, $15,000, $20,000 }
[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]
total 5 number of terms.sum of terms: 24,600 + 19,000 + 33,000 + 15,000 + 20,000 = 111600[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]
[tex]\sf \rightarrow mean = 22320[/tex]
If John is driving 55 miles per hour down
195, how many feet per minute is he
traveling?
The feet per minute that John is travelling down 195 is 4840 feet per minute.
How many feet per minute is he traveling?Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.
In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :
1 mile = 5280 feet
1 hour = 60 minutes
55 x (5280 / 60) = 4840 feet per minute
To learn more about average speed, please check: https://brainly.com/question/21734785
please help me answer this
Answer:
1,080
Step-by-step explanation:
Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.
Perimeter = 52.56 inches, Area = 162.24 square inches
Perimeter = 65.12 inches, Area
162.24 square inches
Perimeter = 46.28 inches, Area = 137.12 square inches
Perimeter = 52.56 inches, Area = 137.12 square inches
answer:
d
perimeter = 52.56 inches
area = 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
The composite shape with trapezium and semicircle is given.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The total perimeter = Perimeter of trapezium + Circumference of semicircle
Perimeter of trapezium = (8+10+10+20)
= 48 inches
Circumference of semicircle =πr
Here radius=8/2
= 4 inches
Now, 3.14×4 =12.56 inches
The total perimeter = 48+12.56
= 60.56 inches
Total area= Area of trapezium + Area of semicircle
Area of trapezium =1/2 (a+b)×h
= 1/2 (20+8)×8
= 28×4
= 112 square inches
Area of semicircle =πr²/2
= (3.14×4²)/2
= 25.12
Total area= 112+25.12
= 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ2
Estimate the perimeter of the figure on number 3
Answer:
13.5
Step-by-step explanation:
i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number
9 + (9/2)
9 + 4.5
13.5
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
write 755 minutes to the nearest hour
[tex] \huge\mathcal\green{ANSWER} [/tex]
[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]
[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]
4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Perimeter of the composite figure :
Perimeter of rectangle + circumference of semi circle - common side.
Perimeter of rectangle :
[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]
[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]
[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]
Circumference of Semicircle :
[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]
[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]
[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]
Length of common side = 4 feet
So, perimeter of composite figure :
[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]
[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]
3/5 plus 1/2 in simplest form
3/5 + 1/2
= 6/10 + 5/10
= 11/10
= 1(1/10)
= 1.10
it would be really helpful if i knew the answer step by step thank you
Answer:
61.3 to infinty
Step-by-step explanation:
1. Multiple: 7(8) = 56
2. Multiple: 2(4) = 8
3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43
4. Multiple: the result of step 3: 4 = 8/3
* 4 = 8 · 4/
3 · 1
= 32/
3
5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3
= 56/1
- 32/3
= 56 · 3/1 · 3
- 32/3
= 168/3
- 32/3
= 168 - 32/3
= 136/3
6. Multiple: 2(8) = 16
7. Add: the result of step 5 + the result of step 6 = 136/3
+ 16 = 136/3
+ 16/1
= 136/3
+ 16 · 3/ 1 · 3
= 136/3
+ 48/3
= 136 + 48/3
= 184/3