Carly had some markers. After she bought 16 more, she had 40 markers. How
many markers did Carly start with?

Answer:

[tex]x = 77 - 2y[/tex]

[tex]y = \frac{77 - x}{2}[/tex]

Step-by-step explanation:

Given

[tex]2x + 4y - 31 = 123[/tex]

Required

Solve for x and for y

[tex]2x + 4y - 31 = 123[/tex]

Add 31 to both sides

[tex]2x + 4y - 31+31 = 123+31[/tex]

[tex]2x + 4y = 154[/tex]

Solving for x

Subtract 4y from both sides

[tex]2x + 4y - 4y = 154 - 4y[/tex]

[tex]2x = 154 - 4y[/tex]

Divide by 2

[tex]x = 77 - 2y[/tex]

Solving for y

[tex]2x + 4y = 154[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 4y = 154 - 2x[/tex]

[tex]4y = 154 - 2x[/tex]

Divide by 4

[tex]y = \frac{154 - 2x}{4}[/tex]

Split

[tex]y = \frac{77 - x}{2}[/tex]

Answer:

251.33 = 251

Step-by-step explanation:

V= πr²h = π·2²·20 ≈ 251.32741 = 251.33

Answer:

Step-by-step explanation:

Answer:

10.29

Step-by-step explanation:

5 √6 ( 4 - √10 )

√6= 2.45

5x2.45=12.25

√10=3.16

4-3.16=0.84

12.25(0.84)=10.29

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]

Where;

k₁ = 0.7 × 25 = 17.5

k₂ = 0.67 × 25 = 16.75

[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]

The test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]

From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905

Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

it has one 90 degree angle

Answer:

Right Triangle

Step-by-step explanation:

Answer:

T = 4.9

Step-by-step explanation:

Just add 3.7 and 1.2 to get 4.9

Answer:

8,000 ordinary income and $1,000 Section 1231 gain

Step-by-step explanation:

Answer:

[tex]\boxed{\textsf{ The required answer is \textbf{130}.}}[/tex]

Step-by-step explanation:

Let us take that number be x whose 10% is 13. So According to Question 10% of x is 13. This implies ,

☯️ [tex]\underline{\underline{\boldsymbol{According\ to\ the\ Question :-}}}[/tex]

[tex]\sf\implies 10\% \ of \ x = 13 \\\\\sf\implies \dfrac{10}{100}\times x = 13 \\\\\sf\implies x =\dfrac{13\times 100}{10} \\\\\sf\implies\boxed{\pink{\frak{ x = 130 }}}[/tex]

Answer:

D $0.60

Step-by-step explanation:

Since a dozen is equal to 12, we will first multiply $2.75 by 12, and we get $33.  Now subtract $33 by $25.80 dollars, which is $7.2.  Now we know that we saved $7.2 out of a dozen cupcake's, but we have to find how much we saved on each cupcake.  So lets divide $7.2 by 12 and we get $0.60. Therefore, you saved $0.60 on each cupcake.

Answer:

128 cu. ft

Step-by-step explanation:

4 x 4 x 8 = 16 x 8 = 128

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]

[tex]\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}[/tex]

Answer:

y + 3 = 2(x + 3)

[point-slope; y – y₁ = m(x – x₁)]

y = 2x + 3 [slope-intercept; y = mx + b]

2x – y = -3 [standard form; ax + by = c]

Answer:

I cant see the link, try reposting...

Step-by-step explanation:

My sisters name is yesenia

Answer:

3rd one thank you let me know if u got it rigbt

rttrtbtrertbr4gbigbnerunburhurh

Answer: I believe it’s 15

Step-by-step explanation:

Answer:

2667

Step-by-step explanation:

35 meters wide at the base

20.6 meters tall

h = 20.6 m

slant height s = 27.029798371427 m

side length a = 35 m

lateral edge length e = 32.200310557509 m

1/2 side length r = 17.5 m

volume V = 8411.6666666667 m3

lateral surface area L = 1892.0858859999 m2

base surface area B = 1225 m2

total surface area A = 3117.0858859999 m2

in all explanation, 2667 is the final answer.

hope this helped!

Answer:

Step-by-step explanation:

2x+3y= 6     ========================>>>           2x +  3y = 6

x+y=4    =====   times both sides by 2  =====>>>    2x + 2y = 8

             ==== subtract these two equations ==>>  (2x - 2x) + (3y - 2y) = 6 - 8

                                                                                       0x     +      y       =   -2

        y = -2     so if  x + y = 4             plug in -2 where y was

                             x + (-2) = 4              add 2 to both sides

                                    x   =  6

(6,-2)

(-2,6)

(-3, 4)

(0, 2)

Answer:

C. 20 could be the third side of the isosceles triangle

Answer:

the area is 324 cm²

Step-by-step explanation:

Answer:

area = 324 cm²

Step-by-step explanation:

since it's  a square, all sides are equal in length.

72/4 = 18

18 x 18 = 324 cm²

Answer:

7 hours

Step-by-step explanation:

the function of the earning of Zoe = 2.50 + 1.75h

2.5 = base fixed amount

1.75 varies based on the hours

h = hours

2.50 + 1.75h = 14.75

to solve for h

subtract 2.5 from both sides and then divide by 1.75

14.75 - 2.5 = 1.75h

12.25 = 1.75h

h = 7

Answer:

96 ft^2

Step-by-step explanation:

If the scale drawings length is 12 and the floors length is 36 we do 36/12 and find out that the scale drawing is 3 times smaller than the actual floor.

So to find the width so we can find the area we divide 24 by 3

24/3=8

then to find area we multiply the length and width

8x12=96

have a great day :D

i would be 8 i did the math on a calculator

Answer:

8x- y

Step-by-step explanation: