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4 years ago

25 = 4.5z + 12 What is the solution for z

Mathematics

2 answers:

diamong [38]4 years ago

7 0

Answer:

2.89

Step-by-step explanation:

Note the equal sign, what you do to one side of the equation, you do to the other. To solve, do the opposite of PEMDAS. Isolate the variable, z.

First, subtract 12 from both sides:

25 = 4.5z + 12

25 (-12) = 4.5z + 12 (-12)

25 - 12 = 4.5z

13 = 4.5z

Isolate the variable, z. Divide 4.5 from both sides:

(13)/4.5 = (4.5z)/4.5

z = 13/4.5

z = ~2.89 (rounded).

2.89 is your answer.

Mars2501 [29]4 years ago

5 0

Answer: z = 2.8

Step-by-step explanation:

Subtract 12 from both sides.

25-12=4.5z

Simplify 25-12 to 13

13=4.5z13=4.5z

divide both sides by 4.5

13 ÷ 4.5 = z

Simplify

z = 2.888889

z = 2.8

Hope this helps!!! Good luck!!! ;)

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A bonsai tree is 18 inches wide and stands 2 feet tall. What is the ratio of the width of the bonsai to its height?

Afina-wow [57]

Answer:

3:4

Step-by-step explanation:

Before we start to deal with the ratio, we need all lengths in the same units.

The width is 18 inches.

The height is 2 feet.

Let's convert the height to inches. Then we will have both dimensions in the same units, inches.

2 ft * (12 in.)/ft = 24 in.

Now we have:

width = 18 in.

height = 24 in.

ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4

3 0

4 years ago

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. Use set notations for the domain and ran

Mama L [17]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes

Domain x is number of hours

Range y is distance traveled

speed = 12 miles per hour

time = 45 minutes = $\frac{45}{60}$ = 0.75 hours

We know distance formula

Distance = speed * time

Distance = 12 * 0.75= 9 miles

Number of hours x is 0 to 0.75 hours

So domain is { $x | 0$ }

Distance is 0 to 9 miles

So range is { $x | 0$ }

5 0

3 years ago

Select 3 expressions that have a sum or difference of 3 /4 .

cupoosta [38]

Answer:

The Three expressions that have a sum or difference of 3 /4 .

B . 11/12 − 1/6

C. 3/5 + 3/20

E . 2/3 + 1/12

Step-by-step explanation:

The Three expressions that have a sum or difference of 3 /4 .

are

B . 11/12 − 1/6

$\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{1\times 2}{6\times 2}\\\\\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{2}{12}=\dfrac{11-2}{12}=\dfrac{9}{12}=\dfrac{3}{4}$

Therefore,

$\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{3}{4}$

C. 3/5 + 3/20

$\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3\times 4}{5\times 4}+\dfrac{3}{20}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{12}{20}+\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3}{4}$

Therefore,

$\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3}{4}$

E . 2/3 + 1/12

$\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{2\times 4}{3\times 4}+\dfrac{1}{12}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{8+1}{12}=\dfrac{9}{12}=\dfrac{3}{4}$

Therefore,

$\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{3}{4}$

7 0

3 years ago

At the grocery store, Charlie bought a jar of spaghetti sauce for $2.49, a package of spaghetti noodles for $1.58, and a gallon

adoni [48]

Spaghetti sauce - $2.49

Spaghetti noodles - $1.58

Gallon of milk - $3.17

$2.49 + $1.58 = $4.07

$4.07 + $3.17 = $7.24

Answer - $7.24

Hope this Helps!!

6 0

3 years ago

PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3.<br> What is f(x)+g(x)?

Karolina [17]

Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

8 0

3 years ago