Find the values of x and y that make the quadrilateral a parallelogram.

Answer:

42 hours

Step-by-step explanation:

First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.

Thank you

42 hours Susan worked this week to $378.

Given that, Susan's salary varies directly as the number of hours worked.

We need to find out how many hours did she work this week.

Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.

According to the question, last week she earned $144 for working 16 hours. This week she earned $378.

Let the number of hours she works this week be x.

So, the proportion is 144:16::378:x

⇒144×x=16×378

⇒x=42

Hence, 42 hours Susan worked this week to $378.

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Answer:

1

 [tex]B  =  7.07 \  cm[/tex]

2

[tex]A  =848.4 cm^2 [/tex]

3

[tex]A_T  = 948.37 \  cm^2 [/tex]

Step-by-step explanation:

From the question we are told that  

   The lateral edge of a square prism is  [tex]d = 30 \ cm = 0.3 \ m[/tex]

    The angle of inclination is  [tex]\theta = 70^o[/tex]

    The volume of the prism is  [tex]V = 1500\ cm^3[/tex]

Generally the base of the prism is mathematically represented as

     [tex]B  =  \sqrt{\frac{V}{ d} }[/tex]

=>   [tex]B  =  \sqrt{\frac{1500}{ 30} }[/tex]

=>   [tex]B  =  7.07 \  cm[/tex]

Generally the lateral  area of the prism is mathematically represented as

       [tex]A  = 4 *  B  *  d[/tex]

=>     [tex]A  = 4 *  7.07  *  30 [/tex]

=>     [tex]A  =848.4 cm^2 [/tex]

Generally the total area of the prism is mathematically represented as

     [tex]A_T  =  2 * B  + A[/tex]

=>   [tex]A_T  =  2 * (7.07)  + 848.4[/tex]

=>   [tex]A_T  = 948.37 \  cm^2 [/tex]

Answer:

3/4

Step-by-step explanation:

The smallest number that makes 9 is three the smallest number that makes 12 is 4 because it cant go below 3

Answer:

3/4

Step-by-step explanation:

Both numbers can be divided by three.

9 divided by 3 is 3 and since the 9 was the numerator the three becomes your new numerator.

12 divided by 3 is 4 and since 12 was the denominator the four becomes your new denominator.

Hope this helps! Good Luck!

Answer:

y = x - 10

Step-by-step explanation:

slope - intercept form: y = mx + b

y2 - y1         -4 - ( -8 )            4

---------   =   -------------   =   --------   =   1

x2 - x1           6 - 2               4

---------------------------------------------------------

y = mx + b

y = 1x + b

pick whichever point you want to use, for this I'll use (2, -8)

-8 = 1( 2) + b

-8 = 2 + b

-2   -2

-10 = b

y = 1x - 10 or y = x - 10

I hope this helps!

Answer: A) no solution

Step-by-step explanation:

1) 7x-3x+3=4x+6

2) 4x+3=4x+6

3) 3 is not equal to 6, so no solution

There is no solution of the given equation.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation is;

7x - 3 (x - 1) = 2(2x + 3)

Now, Solve the equation for x as;

7x - 3(x - 1) = 2(2x + 3)

7x - 3x + 3 = 4x + 6

4x + 3 = 4x + 6

Subtract 4x both side;

3 = 6

Clearly, 3 is not equal to 6.

So, There is no solution of the equation.

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Answer:  3 blocks

Step-by-step explanation:

18/6=3

Answer:

=268 cm²

Step-by-step explanation:

S=(4×10+4×5+5×10)×2×6×4=268cm²

The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter of a square = 4 * Length of the square

Given

Length of a square = 4y + 7

Perimeter of the square = 4(4y+7)

Open the parenthesis

Perimeter of the square = 4(4y)+4(7)

Perimeter of the square = 16y + 28

Hence the perimeter of the square is 16y+28

Answer:

final price $42,624

price decrease $5376

Step-by-step explanation:

multiply 11.2 percent by 48000 and then get the answer from that and subtract from total

Decrease:-

[tex]\\ \rm\Rrightarrow 0.112(48000)[/tex]

[tex]\\ \rm\Rrightarrow 5376\$[/tex]

New price:-

[tex]\\ \rm\Rrightarrow 48000-5376[/tex]

[tex]\\ \rm\Rrightarrow 42624\$[/tex]

Step-by-step explanation:

I guess, she is checking how FAR she runs each day (and not how fast ...).

how many more miles did she run on Friday ?

we get this by calculating the difference between the 2 values. that is what subtraction is for.

7 2/8 - 3 3/4

as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.

7 2/8 - 3 3/4 = 4 2/8 - 3/4

now we convert both numbers to full fractions :

4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4

and then we bring both fractions to the same denominator, in this case 1/8 :

34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8

now we can simplify

28/8 = 7/2 = 3 1/2

so, she ran 3 1/2 miles more in Friday than on Tuesday.

FYI

I just wanted to show you the full formal flow of such a calculation.

but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :

7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2

Answer:

the square root of 55, or 7.42

Step-by-step explanation:

Use the Pythagorean Theorem, or  a²+b²=c², where a and b are the sides or "legs" of the triangle and c is the hypotenuse.

a is 3, b is x, and c is 9

If you plug that into the equation, you get 3²+x²=8²

We can make this 9+x=64 by squaring the 3 and 8.

Then we can subtract 9 from each side to get x=55.

Finally, take the square root of 55 to get √55 or 7.42.

I hope this helped!

Answer:

x = 45

(2x-10) = 80

x+10 = 55

Step-by-step explanation:

so, make an equation to find x:

x+2x-10+x+10 = 180

collect like terms

4x = 180 (divide both sides by 4)

x = 45

sub into the formulas:

x- 10 = 45+10 = 55

2 × 45 - 10 = 80

add them together to see if it is correct:

45 + 55 + 80 = 180

Answer:

8,000

Step-by-step explanation:

8 x 10 x 10 x 10

8 x 1,000

8,000

Hope that helps!

Answer:good job!

Step-by-step explanation:

Step-by-step

Answer:

39.375 minutes

formula's:

distance = speed * time taken

time taken = distance/speed

speed = distance/time taken

here given:

solve for distance:

1st Street to the Boston Eatery distance is 26.25 miles, which is constant.

If speed changes to 40 mph.

Step-by-step explanation:

you mean to say 2 to the power of 10 and 3 to the power of 5

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The pair having like terms is ' A '

It has both terms of x, I.e 20x and 0.8x

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure [tex]y[/tex] is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have [tex]-\frac{1}{2} y[/tex] so we have to divide both sides by [tex]-\frac{1}{2}[/tex] to get [tex]y=-12x -20[/tex]

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or [tex]m[/tex] in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

The couple will make a loss of $0.10 per share.

In order to determine the loss per share, the average total investment would be subtracted from the NAV. If the NAV is greater than the average total investment, the couple make a profit, if this is not the case, the couple would make a loss.

Average total investment = $8722 / 280 = $31.15

Loss = $31.05 - $31.15 = $-0.10

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Answer:

loss of $0.10 per share

Step-by-step explanation:

EDGE 2020

Answer:

A) is 49 degrees and B) is 63

Step-by-step explanation:

they are kinda like mirrors

Answer: 224 ounces are in 14 pounds

Step-by-step explanation:

1 pound = 16 ounces

*14            *14

14 pounds = 224 ounces

let's take a peek at the equation above

[tex]x-3=-6\implies x = -3\qquad \impliedby \textit{a vertical line}[/tex]

Check the picture below, there's no slope-intercept form per se for a horizontal line, unless you'd want to give it a slope of 0 and write it as y = 0x - 4.

Answer:

95. So basically it's the last option. :,)

Step - Step Explanation:

10² - 2* 8 + 11

100 - 2*8 + 11

100 - 16 + 11

84 + 11

= 95.

Answer:

the answer will have to be c and d

Answer:

negative

Step-by-step explanation:

we know this because a negative divided by a positive is a negative

Answer:

Step-by-step explanation:

= -125 ÷ 5

= -25

It's negative

Answer:

6 and 9 twice is 30

Step-by-step explanation:

6 plus 9 is 15 twice is 30

Answer:

10.5

Step-by-step explanation:

30 - 9 = 21

21 ÷ 2 = 10.5