Solution For Given Question
Three times x is 13 less than y
[tex]3x = y - 13 \\ = > 3x + 13 = y[/tex]
The sum of x and two times y is 12.
[tex]x + 2y = 12[/tex]
Replacing Value of Y with 3x + 13
[tex]x + 2y = 12 \\ \\ \implies x + 2(3x + 13) = 12 \\ \\ \implies x + 6x + 26 = 12 \\ \\ \implies7x = 12 - 26 \\ \\ \implies 7x = - 14 \\ \\ \implies x = \cancel\frac{ - 14}{7} \\ \\ \implies x = - 2[/tex]
Now we need to fine Value of'y' i e.,
[tex]y = 3x + 13 \\ \\ \implies y = 3( - 2) + 13 \\ \\ \implies y = - 6 + 13 \\ \\ \implies y = 7[/tex]
[tex] \therefore \text{option c.(y = 7) is your answer}[/tex]
Hope this helpsSolve the following system of equations using substitution.
3x + 2y = 16
3x - 1 = y
Answer:
x=2
y=5
Step-by-step explanation:
Since we have an equation that is set equal to why with x in it, we can multiply it by 2 to get 6x-2=2y.
We can then plug that in for 2 +2y in the equation above, giving us 3x+6x-2=16 or 9x-2=16.
From there we add 2 to both sides and get 9x=18.
Then divide both sides by 9 to get x=2.
Then plug x=2 in for the equation below and get 6-1, or 5.
Giving us our answers, x=2 and y=5
Ama bought 12 eggs at $1.10 each. If 3 of the eggs got broken and sold the remaining at $1.45 each, calculate the
i. Total cost price
ii. Total selling price
iii. Profit or loss percent correct to one decimal place.
Answer:
1.1%
Step-by-step explanation:
cost price=1.10×12
=$13.20
selling price=(12-3)×1.45
=9×1.45
=$13.05
loss= cost price-selling price
=13.20-13.05
=0.15
loss percent=0.15/13.20×100
1.13636
1.1%
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Solve for x and round to the nearest tenth for both (please:) )
Answer:
see explanation
Step-by-step explanation:
using the sine ratio in the right triangle.
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex] ( multiply both sides by 7 )
7 × sin23° = x , then
x ≈ 2.7 ( to the nearest tenth )
----------------------------------------------------
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{27}{17}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{27}{17}[/tex] ) ≈ 57.8° ( to the nearest tenth )
solve pls brainliest
= 29/6 ×4
=29/3 ×2
=58/3
=19(1/3)
PLEASE HELP IF ABLE TO xx
Answer:
y = 120°
Step-by-step explanation:
If AC ≅ AD and BC ≅ BD then the shape of the figure is a kite.
Therefore, ∠D ≅ ∠C
Sum of interior angles in a kite = 360°
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 120° + ∠B + 100° + 100° = 360°
⇒ ∠B = 40°
Sum of interior angles of a triangle = 180°
⇒ ∠B + ∠BDY + ∠y = 180°
⇒ 40° + 20° + ∠y = 180°
⇒ ∠y = 120°
The table below shows a student's quiz scores on four quizzes.
Answer:
with aritmetical form u do this: 14+14+18+12=58
now 58/4=14.5
average score Is 14.5
Elif Is making yogurt parfaits for her daughter Sila. She has 3 pounds of Greek yogurt to make 12 parfaits. If her recipe calls for 4 ounces of Greek yogurt, will she have enough?
Answer:
for because the 3+1 =4
Step-by-step explanation:
thank you
The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation sigma = 0.8 in. what percentage of the snakes are longer than 16.6 in.?
The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.
Then the percentage of the snakes is longer than 16.6 in. will be
[tex]z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2[/tex]
Then we have
[tex]\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Answer:
D, 5%
Step-by-step explanation:
edge
Show all the work and answer quick!
Answer:
a) 3x
b) 3x
c) 2 2/3 times greater
Step-by-step explanation:
The length of the rectangle:
The width of the rectangle is x. If you add the two widths together when finding perimeter, x + x, that would give you 2x.
Sum of widths: x + x = 2x
Use the sum of the widths to find the sum of the lengths by subtracting from the perimeter.
sum of lengths = perimeter - sum of widths
8x - 2x = 6x
Since there are 2 lengths divide by 2.
6x/2 = 3x
The length of the rectangle is 3x
Perimeter of the square:
The sides of the square are 1/4 of the length of the rectangle. "of" means to mulitply: (I made 3x a fraction by placing it over 1)
[tex]\frac{1}{4} (\frac{3x}{1} )[/tex] = [tex]\frac{3}{4} x[/tex]
Now find the perimeter of the square by multiplying the side length by 4.
[tex]\frac{3}{4}x(\frac{4}{1} )[/tex] = [tex]3x[/tex]
Last part:
solve the rectangle's perimeter by substituting x with 4.
P = 8x
P = 8(4)
P = 32 cm
Solve the square's perimeter by substituting x with 4.
P = 3x
P = 3(4)
P = 12 cm
Divide the rectangle's perimeter by the square's perimeter.
32/12 = 2 2/3 times bigger.
Sam filled 4 large bottles and 6 small bottles with 6.8 litres of orange juice . Each large bottle could hold 0.5 litres more than each small bottle. How much orange juice can a small bottle hold?
Answer:
0.48 litres
Step-by-step explanation:
let the large bottles be x and small bottles be y
4x + 6y = 6.8
x = 0.5 + y
so substituting x in equation 1:
4(0.5 + y) + 6y = 6.8
2 + 4y + 6y = 6.8
10y = 4.8
y = 0.48
A. >
B. <
C. =
D. none of the above
Answer:
i think the answer is >
Step-by-step explanation:
Hoped this helped
pls tell me if im wrong
Answer:
b
Step-by-step explanation:
You have to turn the scientific notation into standard form and compare the 2 and it comes into 8200 and 460000 and 8200 is less than 460000.
On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3).
Which point could be on the line that is perpendicular to Line M N and passes through point K?
(0, −12)
(2, 2)
(4, 8)
(5, 13)
Answer:
suitable is (4, 8)
Step-by-step explanation:
slope of MN (y2-y1)/(x2-x1) = (2-3)/(-3-2)= -1/-5 = 1/5
line MN and line K is perpendicular
(1/5)*(m2) = -1
slope of k which is m2 is -5
slope of K (y2-y1)/(x2-x1)= 5
slope of MN (-3-y1)/(3-x1)=5
suitable is (4, 8)
Answer:
2,2 is correct
Step-by-step explanation:
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.
Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.
Section Outcomes Blue 22 Yellow 32 Red 46 Total 100The total number of outcome is 100. The total number of favorable outcome to land blue is 22.
Thus, the estimated probability of the spinner landing on blue has to be found out is,
[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]
Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
Learn more about the probability here;
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I only need help on this one Geometry question! Please help! I will give 30 points.
Do not round, enter full answer. No units of measure just the number. A cone shaped funnel has a diameter of 4.8 inches and a height of 4 inches. What is the volume of the funnel? Use 3.14 for pi. Enter your answer as a decimal, in the box.
If P={a,b,c} and Q={r}, form the sets PUQ?
pls help me to answer this
Answers:
T-shirt = $25
Shorts = $15
Books = $50
Shoes = $30
Cell phones = $750
===============================================
Explanation:
Taking 10% of a number is simply moving the decimal point over one spot to the left.
For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00
As another example, 10% of 150.0 is 15.0
If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.
Below are the supply and demand equations for umbrellas in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 4 over 3 endfraction p 22 s = 3 p minus 36 what is p at the point of equilibrium, to the nearest tenth? a. 19.3 b. 16.5 c. 13.4 d. 12.0
The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the demand (D) and supply (S) is given below.
[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]
Where p is price.
At equilibrium, we have
D = S
Then
[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
find the equation of a line passing through (3,2) and (5,6)
Answer:
y=1/-2x+2.5
Step-by-step explanation:
Y=Mx+c
Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2
C(y-intercept)= replace one of of the points here to find C
2=1/-2(3)+c, c= 2.5
Final answer > y=1/-2x+2.5
Two students each write a function, S(n), that they think can be used to find the number of squares needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of squares needed to make the nth figure in the pattern.
The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
What is square?A square is "a shape that has four sides of the same length and the four angles of right angles".
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
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The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
what is the equation of the straight line that passes through the point (2,-4) with the slope -2?
Answer:
y = - 2x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 . then
y = - 2x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = - 4 + c (add 4 to both sides )
0 = c
y = - 2x + 0 , that is
y = - 2x ← equation of line
Consider the line 3x+8y= 1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
slope of a line parallel to this line= -3/8
slope of a line perpendicular to this line= 8/3
Step-by-step explanation:
The general equation of a line in terms of a and b is:
y=ax+b where a=slope
in order to get the slope of the line we have to write its equation as the form shown above:
3x+8y=1
8y= -3x+1
y= (-3/8)x+(1/8)
so slope= -3/8
Parallel lines have equal slopes
⇒ slope of parallel line= -3/8
The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:
⇒ slope of perpendicular line= -(-8/3) = 8/3
Write the equation of the given line in slope-intercept form:
Answer:
Step-by-step explanation:
so u add it like its a shape and put a x and there :)The table shows the atomic radii of four elements.
Element Atomic Radii (m)
Potassium 2.2 × 10-7
Argon 7.1 × 10-8
Boron 8.5 × 10-8
Silver 1.6 × 10-7
Which list shows the atomic radii of the elements ordered from greatest to least?
[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]
[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]
[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]
[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]
greatest to least :
Potassium < Silver < Boron < ArgonThe order is
Potassium>Silver>Boron>ArgonShortcut trick :-
The nature of atomic radii in. periodic table
Decrease in a period from left to right.Increase in a group from up to downangle properties pls help
Answer: Which question I’ll do a
Step-by-step explanation:
Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees
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X - y = -2 7x + 2y = -5
Élimination method
Answer:
x = -1, y = 1
Step-by-step explanation:
Multiply the top equation by 2:
[tex]2x - 2y = - 4[/tex]
Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:
[tex]9x = - 9[/tex]
Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.
[tex]x = - 1[/tex]
[tex]7( - 1) + 2y = - 5[/tex]
[tex] - 7 + 2y = - 5[/tex]
[tex]2y = 2[/tex]
[tex]y = 1[/tex]
Solve please will mark brainliest
The distance from earth to the moon is about 3.84 times 10^6 meters. what is one fourth of this distance
If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.
One-fourth of this distance is found by dividing the total distance by 4.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
Suppose the one-fourth of this distance will be x,
(1/4)× 3.84 x 10⁶ =x
x=(3.84 x 10⁶)/4
x=960,000
Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000
Learn more about the arithmetic operation here:
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PLS HELPPP IT'S ABOUT LOCUS
Answer:
Here,
First Find distance between them by using formula √+x2-x1)2+(y2-y1)2
Then use the equation and then find locus.
what are the perimeter and area of a triangle with a length of 20 in. and a width of 15 in?
Answer:
Area- 150 Perimeter- 60
Hope This Helps! :) Please Give Brainliest if this helped you!
Triple u then divide 3 by the result?
Answer:
[tex]beinggreat78~is~here~to~help![/tex]
The equation should look something like this.
[tex]\frac{u(3)}{3}[/tex]
Be careful with your use between cubing and multiplying; Cubing is multiplying the number by itself multiple times, while multiplying is like repeated adding, yet much easier.
In this case, if it says triple, I highly recommend multiplying by 3, which is what I did, it only looks different because it is in parentheses.
What have we learned?
We learned how to write algebraic equations, and some further information on multiplying.