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3 years ago

the difference between two numbers is 10 and their sum is four times the smaller number. find the two numbers

Mathematics

1 answer:

Vanyuwa [196]3 years ago

8 0

Answer:

The smaller number is 5.

The bigger number is 15.

Step-by-step explanation:

Let the smaller number be x and the bigger number be x+10.

x+x+10 = 4x

2x+10 = 4x

10 = 4x-2x

2x = 10

x = 10÷2

= 5

x+10 = 5+10

= 15

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Step-by-step explanation:

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3 years ago

Samantha ate a slice of cake that was a 12 degree wedge. If she eats the same amount of cake each day, how many days will it tak

Stels [109]

A circle has a total of 360°, if Samantha is eating 12° wedges off of it every day, then how many times does 12° go into 360°? 360/12, that many.

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3 years ago

PLEASE ANSWER ASAP

Nastasia [14]

Answer:

y = 4 $(2)^{x}$

Step-by-step explanation:

For an exponential function in standard form

y = a $(b)^{x}$

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = a $b^{0}$ ( $b^{0}$ = 1 ), so

a = 4

y = 4 $b^{x}$

Using (1, 8 ), then

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y = 4 $(2)^{x}$ ← exponential function

7 0

3 years ago

Solve for x. - 30 – 5x - 1) + 7 = - 110

ololo11 [35]

Answer:

$x = \frac{86}{5} = 17 \frac{1}{5} = 17.2$

Step-by-step explanation:

$( - 30 - 5x - 1) + 7 = - 110$

$( - 31 - 5x) + 7 = - 110$

$- 31 - 5x + 7 = - 110$

$- 24 - 5x = - 110$

$- 5x = - 110 + 24$

$- 5x = - 86$

$\boxed{\green{x = \frac{86}{5} = 17 \frac{1}{5} = 17.2}}$

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3 years ago

Two angles are supplementary. The larger angle is

UkoKoshka [18]

Answer:

x = 165, y = 15

Step-by-step explanation:

1. Well, what does supplementary mean? - The angles add up to 180°.

2. Let's form an equation: x + y = 180°

3. Let's say x is the larger angle and y is the smaller angle.

4. Let's form another equation: x = 150 + y

5. Put the two equations next to each other:

x + y = 180

x = 150 + y

6. We know what x is equaled to, so let's plug it into the first equation!

150 + y + y = 180

150 + 2y = 180

-150 -150

2y = 30

y = 15

7. Now, we know what y is, let's find x!

x + 15 = 180

-15 -15

x = 165

4 0

2 years ago