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3 years ago

Solve the equation using the distributive property and properties of equality.

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

Answer:

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

+15 +15

-5a=-40

/-5 /-5

a=6

drek231 [11]3 years ago

6 0

Answer:

A = 8

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

-5a=-40

-40/-5=8

a=8

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There are 5 gallons of distilled water in science supplies. If 8 students each use an equal amount of distilled water and there

Maurinko [17]

Answer:

0.5 gallon

Step-by-step explanation:

let x refer to students

5 = 8x + 1

8x = 4

x= 0.5 gallon

7 0

3 years ago

4,3⅔,3⅓,3 common difference

Lana71 [14]

Answer:

one third

Step-by-step explanation:

3 0

3 years ago

Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the

expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:

$h(t)=-16t^2+v_0t+h_0$ , where, $v_0$ represents initial velocity and $h_0$ represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

$h(t)=-16t^2+38t+30$

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

$-16t^2+38t+30=0$

Divide by 2:

$-8t^2+19t+15=0$

Upon using quadratic formula, we will get:

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}$

$t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}$

$t=\frac{-19\pm29}{-16}$

$t=\frac{-19-29}{-16},t=\frac{-19+29}{-16}$

$t=\frac{-48}{-16},t=\frac{10}{-16}$

$t=3,t=-\frac{5}{8}$

Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

7 0

3 years ago

These polygons are similar. Which similarity statement is correct?

vodomira [7]

Answer:

A B C D is similar to F G H E

Step-by-step explanation:

Here we can see that

A= F= 110 degrees

B = G= 70 degrees

C= H = 110 degrees

D= E = 70 degrees

Therefore

A B C D is similar to F G H E

so the option 3rd correct.

5 0

3 years ago

Read 2 more answers

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0

3 years ago