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3 years ago

What’s the volume of

Mathematics

2 answers:

klemol [59]3 years ago

8 0

Hello!
To find volume you multiply all sides.
5/3 x 5/4 = 25/12
25/12 x 3/4 = 25/16
25/16 = 1 9/16
Hope this helps!

Ainat [17]3 years ago

7 0

Let's multiply length by width by height.

5/3×5/4

25/12×3/4

75/48; let's simplify

1 27/48

1 9/16

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Melissa used 4 cups of sugar to bake 54 cookies. If she’s only used 1 cup of sugar, what would be an equivalent ratio of cups to

daser333 [38]

Answer:

$\frac{2}{27}$

Step-by-step explanation:

We have given that melissa used 4 cups of sugar to bake 54 cookies.

That means 1 cup of sugar will be used to bake $\frac{54}{4}=\frac{27}{2}$ by unitary method

We have to find the ratio of cups to the cookies

We are using 1 cup of sugar

And cookies will be $\frac{27}{2}$

$\text{equivalent ratio}=\frac{1}{\frac{27}{2}}=\frac{2}{27}$

3 0

3 years ago

X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

6 0

3 years ago

John accepted a reduction of 15% on his salary when his company was not doing well. Now his company's financial position has imp

o-na [289]

To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.

To make 85 back to 100 we divide it by the decrease (1-0.15):
85 / 0.85 = 100

To find out how much 85 increased to get back to 100, we do:
15 / 85 = 0.1765 = %17.65

15 is the reduction/difference, and 85 is the with reduction total.

Because percentages stay the same, this is applicable to any numbers, from this, we know that whenever something is reduced by 15% - when restored to it's original is increased by %17.65

The answer is %17.65

6 0

3 years ago

The graph shows the costs of two types of fruit at a store. A graph measuring cost and amount. Two lines, labeled Cherries and A

dybincka [34]

Answer:

Hello! Your answer is less than. (<)

Step-by-step explanation:

I took the test and got it right, proof below!!!!

Hope this helps!! so so sorry if im late! <3

5 0

3 years ago

Parallel to y =9x 3, y-intercept at -2

Mashutka [201]

Slope-intercept form:
y=mx+b
m=slope
b=y-intercept

We have this line: y=9x+3; a line parallel to this line (y=9x+3) will have the same slope; therefore m would be equal to 9 (m=9).

Data:
m=9
b=-2
y=mx+b
y=9x-2

Answer: y=9x-2

3 0

3 years ago