Find two mixed numbers so that the sum is seven wholes and two eights and the difference is two wholes and four eigths

Answer:

24

Explanation:

½ gallons × 12 = 6 (gallons of paint needed to cover the whole wall)

6 gallons = 24 quarts

i hope this helps! :D

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)

Step-by-step explanation:

The given data are;

Bakery A

[tex]\overline x_1[/tex] = 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

[tex]\overline x_2[/tex] = 1,711 cal

s₂ = 192 cal

n₂ = 10

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]

[tex]\hat \sigma[/tex] ≈ 178

Therefore, we get;

[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]

Which gives;

[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

Answer:

81

Step-by-step explanation:

First we go with exponents, 2x2=4 and 5x2=25. Now we go with what's inside the parentheses so, 4 (Originally 2x2) plus 4 plus 6, which equals 14. Now we multiply 4 and 14, which equals 56. Then we add 56 and 25 which equals 81.

Answer:dvd

Step-by-step explanation:ube

Answer:

hmmm

Step-by-step explanation:

Answer:

46.3768%

Step-by-step explanation:

Or 46.38% if you round it to the nearest tenths

The percentage decrease of songs from 69 to 37 songs is 46.4%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The number of songs decreased from 69 songs to 37 songs.

Therefore, The net amount of songs that decreased is,

= (69 - 37).

= 32 songs.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (32/69)×100.

= 46.4%

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Answer:

x = -2/15 & y = 3/5

Step-by-step explanation:

- 12x + 9y = 7 ...(1) ; 3x + 4y = 2 ...(2)

Multiply both sides of (2) by 4:

12x + 16y = 8

Add the new equation & (1):

12x + 16y = 8

-12x + 9y = 7

0 + 25y = 15 => y = 15/25 = 3/5

Thus, substitute the value of y in (2):

3x + 4y = 2 => 3x = 2 - 4(3/5) = (10-12)/5

=> 3x = -2/5

=> x = - 2/15

Answer:

[tex]x=-\frac{2}{15}=-0.133333333\\y = \frac{3}{5}= 0.6[/tex]

Step-by-step explanation:

−12x+9y=7

3x+4y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

−12x+9y=7,3x+4y=2

To make −12x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −12.

3(−12)x+3×9y=3×7,−12×3x−12×4y=−12×2

Simplify.

−36x+27y=21,−36x−48y=−24

Subtract −36x−48y=−24 from −36x+27y=21 by subtracting like terms on each side of the equal sign.

−36x+36x+27y+48y=21+24

Add −36x to 36x. Terms −36x and 36x cancel out, leaving an equation with only one variable that can be solved.

27y+48y=21+24

Add 27y to 48y.

75y=21+24

Add 21 to 24.

75y=45

Divide both sides by 75.

y=3/5

Substitute 3/5 for y in 3x+4y=2. Because the resulting equation contains only one variable, you can solve for x directly.

3x+4×(3/5)=2

Multiply 4 times 3/5

3x+12/5=2

Subtract 12/5 from both sides of the equation.

3x=-2/5

Divide both sides by 3.

x=-2/15

The system is now solved.

x=−2/15 ,y=3/5

​

Answer: (0, -7)

Step-by-step explanation:

y = mx + b

Where m is slope and b is y-intercept

y = 2x + b

One point that passes through the line is (5,3), which means that x = 5 and y = 3

3 = 2(5) + b

3 = 10 + b

b = -7

(0, -7) is the y-intercept

Using this info you can find the equation of the line

:)

Answer:

x=3, y=-1. (3, -1).

Step-by-step explanation:

6x+y=17

-9x+5y=-32

-----------------

-5(6x+y)=-5(17)

-9x+5y=-32

--------------------

-30x-5y=-85

-9x+5y=-32

-------------------

-39x=-117

39x=117

x=3

6(3)+y=17

18+y=17

y=17-18

y=-1

Answer:

y = -x + 10

Step-by-step explanation:

Find the slope:

0 - 6 / 10 - 4 = -6/6 = -1.

Put it in point-slope form:

y - 0 = -1(x - 10)

rearrange:

y = -x + 10

Answer:

thase is the answer and good luck

Answer:

0,8

Step-by-step explanation:

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

Answer:

-13

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

Answer:

16 inches squared

Step-by-step explanation:

We can split the figure into two rectangles. Rectangle 1 will have an area of 2*3=6. Rectangle 2 will have an area of 2*5=10

10+6=16

Answer: 400 cm

Step-by-step explanation:

create a ratio

1 is to 40 as 10 is to x

1/40 = 10/x

multiply both sides by 40 and divide by x

x = 400

Answer:

6x - 27

Step-by-step explanation:

3 x 2x - 3 x 9 =

6x - 27

Hope that helps!

Answer:

6x - 27

Step-by-step explanation:

Answer:

its 220

Step-by-step explanation:

There are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Supermarket chains select 3 out of 12 possible sites for the construction of a new supermarket.

As we know,

[tex]\rm C(n, r) =\dfrac{n!}{( r! (n - r)! )}[/tex]

n = 12

r = 3

[tex]\rm C(12, 3) =\dfrac{12!}{( 3! (12 - 3)! )}[/tex]

C(12, 3) = 220

Thus, there are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

Learn more about permutation and combination here:

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180° - (60° + 84°) = 180° - 144° = 26°

Answer:

option A

Step-by-step explanation:

the answer is a because it says triangle PGR and DEF are similar. The congruent sides are in order so side PG is equal to DE or 4/6

have a great day :D

Answer:C=5+0.6x

Step-by-step explanation:

The equation that represents the total cost will be C = 0.60x + 5.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A pumpkin patch charges a $5 entrance fee and $0.60 per pound for pumpkins.

Let x be the number of pounds of pumpkin and C be the total cost in dollars.

Then the equation that represents the total cost will be

C = 0.60x + 5

The equation that represents the total cost will be C = 0.60x + 5.

More about the linear equation link is given below.

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Answer:

They each receive 5.40 pounds of hay

Step-by-step explanation:

16 1/5 ÷3 = 5.40 I checked it by multiplying 5.40×3 and I got the same answer so it should be correct!

Answer:

-24

Step-by-step explanation:

Solo You just need Make an ecuation

Answer:

1. B

2. A

3. I

4. I

These should be correct