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3 years ago

Find three consecutive integers that have a sum of 96.

1 answer:

6 0

Let the smallest number = n

Short Answer: 31 32 33
Let the second number = n + 1
Let the 3rd number = n + 2

Let the sum = s
s = 96

s = n + n + 1 + n + 2 Collect like terms.
s = 3n + 3
96 = 3n + 3 Subtract 3 from both sides
96 - 3 = 3n Collect like terms on the left
93 = 3n Divide by 3
93/3 = n
n = 31

So the 3 consecutive numbers are
31 , 32, 33

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What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Anna71 [15]

Answer: $m=-1.714$

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

$y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6$

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

$m=\frac{-10-14}{8-(-6)}$

Finally, you must evaluate in order to find the slope of this line. You get that this is:

$m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714$

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3 years ago

an ice cream shop has a total of 48 flavors of ice cream and toppings. if there are 16 flavors of ice cream, how many toppings c

Tanzania [10]

Answer:

Step-by-step explanation:

There are 48 flavors and toppings. Since 16 are flavors, 32 are toppings. Dividing the 32 topping equally between 8 children is 4 toppings per child.

32 ÷ 8 = 4

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3 years ago

An elephant can run of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs i

Mice21 [21]

Answer:

The expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

Solution:

Given that,

Distance covered by an elephant in 36 seconds is equal to 1 mile

Therefore, distance covered by the elephant in 1 second is $\frac{1}{36}$ mile

Therefore, distance covered by the elephant in 60 seconds (60 seconds = 1 minute) is

$\frac{1}{36} \times 60=\frac{5}{3} \text { miles }$

Therefore, distance covered by the elephant in 60 minute (60 minute = 1 hour) is

$\frac{5}{3} \times 60=100 \text { miles per hour }$

Hence the expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

7 0

3 years ago

Please help! The best answer will get brainly!

Vika [28.1K]

Answer:

9 outfits
6
6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Tasya [4]

The coordinates of point F are (15/4 , -5/2)

The coordinates of point G = (-3/4 , -3)

<h3>What is the coordinates about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

E is the mid-point of AB
D is the mid-point of AE
F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1) and B (x2 , y2), Then x = (x1 + x2)/2 and that of y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then E =[(-3 + 6)/2, (-1 + -3)/2]

= (3/2 , -2)

Since F is the mid-point of EB,

E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

= (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then D = [(-3 + 3/2)/2 , (-1 + -2)/2]

= (-3/4 , -3/2)

Note also that:

BC is said to be an horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then y-coordinate of G is = -3

Since DG ⊥ BC

Then DG = vertical segment

So G has similar x-coordinate of D

Then The x-coordinate of G = -3/4

The G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

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1 year ago