The ages of three brothers are consecutive integers. The sum of their ages is 63. Find their ages.

Given:

The inequality is

[tex]-2x+2>3x-8[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]-2x+2>3x-8[/tex]

Isolate the variables terms on the left side.

[tex]-2x-3x>-2-8[/tex]

[tex]-5x>-10[/tex]

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

[tex]\dfrac{-5x}{-5}<\dfrac{-10}{-5}[/tex]

[tex]x<2[/tex]

Therefore, the correct option is D.

Answer:

g has an average rate of change of zero at the intervals [-5,4] and [-2,2]

Step-by-step explanation:

When we talk of the average rate of change, we mean the change in y values divided by the change in x values

Once the change in y-values is zero, then over that interval, the average rate of change is zero

at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6

As we can see here, within the interval [-5,4]; the average rate of change is 0

This same pattern is repetitive at points or ranges where we have same values for g(t)

such as;

[-2,2]

Answer:

20%

Step-by-step explanation:

Answer:

exact form -108/5, decimal form -21.6, and mixed number form -21 and 3/4

Answer/Step-by-step explanation:

Given:

m<4 = 131°

a. m<8 = 180 - m<4 (linear pair)

m<8 = 180 - 131 (substitution)

m<8 = 49°

b. m<5 = m<4 (alternate exterior angle are congruent)

m<5 = 131° (substitution)

c. m<2 = m<5 (vertical angles are congruent)

m<2 = 131° (substitution)

d. m<1 = m<8 (vertical angles are congruent)

m<1 = 49° (substitution)

e. m<6 = m<1 (vertical angles are congruent)

m<6 = 49° (substitution)

f. m<7 = m<4 (vertical angles are congruent)

m<7 = 131° (substitution)

Answer:

Area of a rectangulor pentagon =(1/2)(apothem)(perimeter)

apothem=6.5cm

perimeter=6.5

Step-by-step explanation:

Answer:

10 ft. should be the answer if I did it correctly

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Answer:

D is correct

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

23 would be the answer but its rounding to the nearest whole

c= 50+75t

it is less expensive to purchase the $750 software

Answer:

yes it is a parallelogram

Step-by-step explanation:

it is a parallelogram as opposite sides are equal and parallel

Answer:

Step-by-step explanation:

From the given figure, we know that opposite sides are parallel

If two pair of opposite sides are parallel, then it is a parallelogram.

Answer:

The first one

Step-by-step explanation:

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Answer:

[tex]\sqrt{64\cdot \:9}[/tex]

[tex]=\sqrt{576}[/tex]

[tex]=\sqrt{24^2}[/tex]

[tex]=24[/tex]

Answer:

[tex]200\pi[/tex] or 628.3185

Step-by-step explanation:

Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].

Answer:He has 74 baseball cards

Step-by-step explanation:

He has 38 baseball cards left, and since his dog ate half of it he must have had double the amount of cards. So 38 + 38 . This equals to 74.

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4. If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

70

Step-by-step explanation:

70+4= 74

Find the number in the spot (tens place/7) go next door see what you go (4) Five or more you raise the score, four or less you let it rest.

4 is four or less so you let it rest by replacing it with a zero.

Answer= 70

Answer:

15

Step-by-step explanation:

15 is the difference between 15 and 30 where the 2 dots are at

Answer:

Length of Third Side = 12 m

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this: a² + b² = c² or c² - b² = a² in which a and b are legs, and c is the hypotenuse. We use the second equation to solve this: 15² - 9² = a² or 225 - 81 = a². This simplifies to 144 = a². To find a specifically, find the square root of 144, 12.

Hope it helps!

Answer:

b

Step-by-step explanation:

Answer:

There are approximately 82 inches

Step-by-step explanation:

Here, we want to calculate the circumference of the wheel

To do this, we are going to use the formula for the circumference of a circle

C = 2 * pi * r

C = 2 * pi * 13

= 26 * pi

C = 81.7 inches which is approximately 82 inches

Answer:

she slept for 3 hours

Step-by-step explanation:

its actually simple so we know that April slept for 9 hours bug Evelyn only slept 2/3 of 9 hours and if you add 1/3 and 2/3 you get 3/3 which equals a whole so all you have to do is devide 9 into 3 and you get 3 parts with 3 now you add 3 and 3 together and that equals 6 and that was two parts you added which is equaled to 2/3 so all you have to do now is subtract 9-6 and you leave with three which is 1/3 so we come to the final answer she slept for three hours

sorry for such a long explanation

Answer:

23.6 or 1 4 × π × 8 = 2 π  if its not right let me know

Step-by-step explanation:

Answer:

y = 3/5x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.

The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.

Therefore, your answer in slope-intercept form is y = 3/5x + 5.

Answer:

$113

Step-by-step explanation:

$678 / 6 =

$113 each

Hope that helps!

Answer:

x = 8

Step-by-step explanation:

EF/EC = EG/ED

21/8x-1 = 17/6x+3

cross-multiply:

21(6x+3) = 17(8x-1)

126x + 63 = 136x-17

-10x = -80

x = 8