Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property.​

Answer:

It would take her 10 track practices to get up to 40 miles.

Step-by-step explanation:

Answer:  The number of solutions to the equation sin (2000x) = 3/7 in the interval [0,2π] is (A) ... 1 answer A sinusoid with amplitude 4 has a minimum value of 5.

1 answer

Step-by-step explanation: : You always have sin2(x)+cos2(x)=1. Now how do sin2(x)+cos2(x) and sin2000(x)+cos2000(x) relate if (sin(x),cos(x))≠(±1,0) and (sin(x),cos(x))≠(0,±1)?

Answer:

1. x= -2  2. x= -5  3. x= -11/10

Step-by-step explanation:

1. 5x-3x -4+4=3x-3x+8+4   2x/2=-4/2  x=-2

2. -4x+7x +7-7=-7x+7x-8-7  3x/3=-15/3  x=-5

3. 6x+4x+7-7=-4x+4x-4-7   10x/10=-11/10   x=-11/10

Answer:

105 × 95​

(100+5)  × (100-5)

(100)² - (5)²

10000 -25

9975

Step-by-step explanation:

105*95 is equal to 9975

Answer:

Q.13 66.66, Q.14 0.141 cm

Step-by-step explanation:

Answer: 804.25 cm sq.

Step-by-step explanation:

A = 4 π r^2

A = 4 π 8^2

A = 4 π 64

A = 804.25 cm sq.

Answer:

n=11/2 or 5 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distribute:

2n-12-15=-6n+18-1

Combine like terms:

2n-27=-6n+17

Put -27 on other side and -6n on other side:

8n=44

Divide:

n=5.5

Answer:

87

Step-by-step explanation:

try langs need kasi para maka

hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

87

Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Answer:

$15.25

Step-by-step explanation:

Answer:

The smaller cup has a height of 4cm

Step-by-step explanation:

The two cups have a proportional relationship. This means that the since the smaller cup has a capacity that is half of the larger cup, the height will also be half of the larger cup height.

.25 is half of .5

_ is half of 8

Hope this helped!

Given:

Number of rows = 3

Number of columns = 6

Number of square boxes = 18

yellow square boxes in the top two rows = 12

Blue square boxes in the first 5 columns = 15

Number of green boxes (shading overlaps) = 10

To find:

The model to show multiplying a fraction by a fraction.

Solution:

2 rows out of 3 are shaded yellow.

Fraction for yellow = [tex]\dfrac{2}{3}[/tex]

5 columns out of 6 are shaded blue.

Faction for blue = [tex]\dfrac{5}{6}[/tex]

10 out of 18 squares are green.

Faction for green =  [tex]\dfrac{10}{18}=\dfrac{5}{9}[/tex]

Now,

[tex]\dfrac{2}{3}\times \dfrac{5}{6}=\dfrac{10}{18}[/tex]

[tex]\dfrac{2}{3}\times \dfrac{5}{6}=\dfrac{5}{9}[/tex]

Therefore, the correct option is D.

The correct option is D.

2 rows out of 3 are shaded yellow.

Fraction should be [tex]2\div 3[/tex]

Now

5 columns out of 6 are shaded blue.

Fraction should be [tex]5 \div 6[/tex]

And,

10 out of 18 squares are green.

Fraction should be  [tex]10 \div 18 = 5\div 9[/tex]

Now

[tex]\frac{2}{3} \times \frac{5}{6} = \frac{10}{18}\\\\ \frac{2}{3} \times \frac{5}{6} = \frac{5}{9}[/tex]

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Answer:

a. 5 eggs b. 2 eggs every 20 crepes c they will need 2 eggs for every 20 crepes d 5 eggs 8 eggs

Step-by-step explanation:

i have not done this in a while

[tex]area \: of \: land \: with \: john \: = 1 \frac{1}{4} \: acres \ \\ \\ = \frac{(4 \times 1) + 5}{4} \\ \\ \\= \frac{9}{4} \: acres[/tex]

Quantity of fertilizer needed to cover 1 acre of land :-

[tex] \: \ \\ = 80 \frac{1}{2} \: pounds \\ \\ = \frac{(2 \times 80) + 1}{2} \\ \\ = \frac{81}{2} \: pounds[/tex]

Quantity of fertilizer needed by John to cover his land :-

[tex] \frac{9}{4} \times \frac{81}{2} [/tex]

[tex] \frac{(9 \times 2 ) \times (81 \times 4)}{8} [/tex]

[tex] \frac{(18 \times 324)}{8} [/tex]

[tex] = \frac{5832}{8} [/tex]

[tex] = 729 \: pounds[/tex]

∴ John needs 729 pounds of fertilizer to cover his land .

Answer:

425%

and

4.25

(4 2/8) × 100%

= 425%

= 4.25

Answer:

425%

Step-by-step explanation:

(4 2/8) × 100%

= 425%

= 4.25

The answer is 9 it’s a multiple of 3 and is also greater than 6

Answer:

  7/9

Step-by-step explanation:

All but 8 of the 36 outcomes are a multiple of 3 or greater than 6. The probability is ...

  p(x mod 3 = 0 | x > 6) = 28/36 = 7/9

Answer:

x = 5

Step-by-step explanation:

4x-3=2x+7

Subtract 2x from each side

4x-2x-3=2x-2x+7

2x-3 = 7

Add 3 to each side

2x-3+3 = 7+3

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Answer:

A. 430

Step-by-step explanation:

Range is the difference between the highest and lowest values. In this case it is 790 and 360. Subtract the highest and lowest and you get 430

Answer:

the answer to this equation is 52

Step-by-step explanation:

Answer:

f=39

Step-by-step explanation:

hi! first, we can multiply by 12 on both sides to eliminate the 12 in the denominator.

f+3= (7/2)*12

f+3=84/2

f+3=42

now, subtract 3 on both sides.

f=39

Answer:

50 = 1(x) + 4(y)

Step-by-step explanation:

I'm not too sure about this answer, its more of a guess but I hope this helped :)!

X = amount of forks bought

y = amount of spoons bought

Answer:

Step-by-step explanation:

T=L(8+RS)

T=L8+LRS

T-L8=LRS

R=T-L8/LS

The required solution to the given equation is R = (T - 8L)/LS.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

T = L(8 + RS)

Apply the distributive property of multiplication,

T = L × 8 + L × RS

T = 8L + LRS

Rearrange the terms in the above equation,

T - 8L = LRS

Divided by LS into both sides, and we get

R = (T - 8L)/LS

Thus, the required solution to the given equation is R = (T - 8L)/LS.

Learn more about the equations here:

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Answer:

y = ✔ 1x+ ✔ -3

Step-by-step explanation:

The equation of the line passing through the points (2, -1) and (10, 7) is y =  x - 3.

The point slope form of a line is given by -

y - y₁ = m(x - x₁)

Given is a line that passes through the points (2, -1) and (10, 7).

The point - slope form of a line is given by the general equation -

y - y₁ = m(x - x₁)

We will find the slope of the line as follows -

m = (7 + 1)/(10 - 2) = 8/8 = 1

The line passes through the point (2, -1), so we can write the equation of line as -

y - (- 1) = x - 2

y + 1 = x - 2

x - y = 3

y =  x - 3

Therefore, the equation of the line passing through the points (2, -1) and (10, 7) is y =  x - 3.

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Answer:

See Below

Step-by-step explanation:

Step 1:

- 6x + 7x + 14 = 3       Given

Step 2:

x + 14 = 3     Combine like terms

Answer:

x = - 11       Subtraction Property of Equality

Hope This Helps :)

Answer:

The equation has an Inifinite amount of solutions

Step-by-step explanation:

2 ( 3g + 2 ) = 1/2 ( 12g + 8 )

First use the distributive property of multiplication -

6g + 4 = 6g + 4

6g cancels out from both sides of the equation -

4 = 4

When both sides of an equation are the same there is an infinite amount of solutions.

Hope this helped! :)

Answer:

12

Step-by-step explanation:

We just need to divide the number of laps to the number of swimmers to find the unit rate.

240 / 20 = 12

216 / 18 = 12

168 / 14 = 12

108 / 9 = 12

Best of Luck!

Answer: 12

Step-by-step explanation:

Sorry I don't like to show my work.

Answer: 10

Step-by-step explanation:

The x-intercepts means when y equals 0, or when the function crosses the x-axis.

0 = (x-6)^2 - 16

16 = (x-6)^2

Take the square root of both sides:

4 = (x-6)

Add 6 to both sides to get:

x = 10

Answer:

1.82

Step-by-step explanation: