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Scilla [17]
3 years ago
13

Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in w

ide?
Mathematics
1 answer:
posledela3 years ago
6 0
The ratio of the height and width remain constant as you change it's size.
So..
A = Old width
B = Old height
C = New width
D = New height

A/B = C/D

Plug in the values we have

42.9 / 32.5  = 3.3 / D

Multiple both sides by D
D * 42.9 / 32.5 = 3.3

Multiple both sides by 32.5

D * 42.9 = 3.3 * 32.5

Now divide both sides by 42.9

D = 3.3 * 32.5 / 42.9

Now simply do the multiplication and division using the available numbers.
D = 2.5

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4x - 4 - 8y + 8 - 5x + 1 =
SashulF [63]
-x-8y+5

Hope this helps, we have same name btw
3 0
3 years ago
Read 2 more answers
What does OD=<br> Pls answer
Elodia [21]

Answer:

OD = 9.375"

Step-by-step explanation:

We can draw a line from O to B to create a triangle.

Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.

Triangle ACB, we can use pythagorean theorem to figure out CB:

AC^2 + CB^2 = AB^2

15^2 + CB^2 = 17^2

225 + CB^2 = 289

CB^2 = 64

CB = 8

Now relating the corresponding sides, we can figure out OD:

\frac{OD}{DB}=\frac{AC}{CB}\\\frac{OD}{8-3}=\frac{15}{8}\\\frac{OD}{5}=\frac{15}{8}\\8OD=5*15\\OD=\frac{5*15}{8}\\OD=9.375

8 0
4 years ago
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe dr
svetlana [45]

Answer:

8gallons

Step-by-step explanation:

If Joe drinks 10 liters of water every week, then;

10liters = 1 week

After 3weeks;

x litres =3 weeks

Divide both expressions

10/x = 1/3

x = 3*10

x = 30litres

This means he consumes 30litres in 3 weeks

If there are approximately 19 liters in 5 gallons, the;

19litres = 5gallons

To determine the number of gallons consumed in 3 weeks;

30litres = y

Divide both expressions

19/30 = 5/y

Cross multiply

19 * y = 30*5

19y = 150

y = 150/19

y = 7.89

y ≈ 8 (to nearest whole number)

Hence Joe drinks 8gallons of water in 3weeks

7 0
3 years ago
Kinsley's age is 7 years less than twice Jacob's age. If Kinsley is 13 years old, how old is Jacob? Choose the answer below that
Ganezh [65]

Answer:

10x2= 20 -7 =13  :answer is 10.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Passes through (-1,4) and m=4
Ilya [14]
Point-slope formula;

y - y1 = m(x - x1)        given point(-1, 4) and slope(m) is 4.

y - 4 = 4(x - (-1)

y - 4 = 4x + 4

y = 4x + 4 + 4

y = 4x + 8               << the equation.

hope this helped, God bless!
5 0
3 years ago
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