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2 years ago

Th sum of three numbers is 64. The second number is 3 more than the first. The third number is

1 answer:

8 0

Three numbers can be defined as x, y, and z.
x + y + z = 64
y = x+3
z = 2x - 11
.
substitute for y and z
x + (x+3) + (2x-11) = 64
4x -8 = 64
4x = 72

x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.

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aleksklad [387]

One-fourth + one-sixth + one-third

three plus two plus four /12 = 9/12 = 3/4 

So, balance = 1/4 = 1/4 times 20 = 5 pies which is the answer!

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3 years ago

There are 18 red and 20 blue marbles in a jar. Write the simplified ratio of blue to red marbles in 3 different ways

AnnZ [28]

20 to 18

20:18

20/ 18

Step-by-step explanation:

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2 years ago

Read 2 more answers

What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept is at point ( 0.-3)

So, at x = 0, y = -3

or, C = -3

Also, the point on the equation line is (x,y) = (-9,-9)

Now, by SLOPE INTERCEPT FORM of a line equation,we get:

y = m x + C : m = slope of line ......... (1)

So, substituting the values of C and (x,y) , we get:

-9 = m (-9) + (-3)

or, -9 + 3 = - 9 m

or, m = -6/-9 = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

$y = m x + C \implies y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9$

Hence, the line equation is given as: 3 y = 2 x - 9.

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3 years ago

You want to buy a jacket that is $75. Today it is marked down 33 one-third percent. The sales tax is 8%. How much will you pay?

lara [203]

Answer:

$54

Step-by-step explanation:

Price of jacket = $75

Markdown = 33.33...%

Sales tax = 8%

First we have to find the price of the jacket after the markdown.

75-33.33(75)

75-(25)

New price of jacket = $50

Now to calculate the price with sales tax.

50+0.08(50)

50+(4)

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2 years ago

What is the image point of (-12, -8) after the transformation R270° 0 D. ?

Gennadij [26K]

Given:

The point is (-12,-8).

Rule of transformation is $R_{270^\circ}\circ D_{\dfrac{1}{4}}$ .

To find:

The coordinates of image after transformation.

Solution:

According to the rule of transformation $R_{270^\circ}\circ D_{\dfrac{1}{4}}$ , first the point is dilated by factor $\dfrac{1}{4}$ with origin as center of dilation after that it was rotated 270 degrees anticlockwise.