3) The sum of two numbers is 20. Their
difference is -2. What are the two numbers?

Answer:

[tex]\frac{23}{30}[/tex]

Step-by-step explanation:

let the denominator of the original fraction be x, then

[tex]\frac{x-7}{x}[/tex] ← is the original fraction

After the given changes, that is

[tex]\frac{3(x-7)}{x+16}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides

6x - 42 = 3x + 48 ( subtract 3x from both sides )

3x - 42 = 48 ( add 42 to both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

[tex]\frac{30-7}{30}[/tex] = [tex]\frac{23}{30}[/tex] ← the original rational number

Answer:

f(a) = 1,5

Step-by-step explanation:

-3a + 6b = a + 4b

[+3a] [+3a]

6b = 3a + 4b

[-4b] [-4b]

2b = 3a

[÷2] [÷2]

b = 1,5a

So the right answer is 3/10 cubic inches.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

5

Step-by-step explanation:

7m - 2m = 5m

-5n - 3n = 8n ( just in case you need it (: )

Also, have a great day

Answer:

It's the first one.

Step-by-step explanation:

The first one cannot be folded into a square because of its shape. This question is more of an IQ question so it's not really something you can teach to someone else, but I hope this helps and that you will get it!

Answer: 4 inches by 10 inches

Step-by-step explanation:

The area of a rectangle can be written as b*h, while perimeter is equal to (2b +2h).

A = b*h = 40

P = 2b + 2h = 28

P = 2b + 2h

28 = 2b + 2h

28 = 2(b+h)

14 = b + h

What two numbers add to 14 and multiply to 40?

4 * 10 = 40

4 + 10 = 14

Answer:

10 and 4

Step-by-step explanation:

Answer: They are all of the above.

Step-by-step explanation: A integer is a whole number, a whole number is a integer and a natural number is a whole number. The definition of a whole number is a number with no fractions, the definition of a integer is a number with no fractions, and the definition of a natural number is a positive number.

Answer: D (-/ 13 - -/11) those are supposed to be square root signs lol^^

Step-by-step explanation:

Answer:5 and 7 left

Step-by-step explanation:

Answer:

Each person would get 5 cards, withe 7 left over.

Step-by-step explanation:

This is because 52/9 is 5.7777. So then you would multiply 9 by 5 and get 45. You finally do 52-45 and get the 7 leftovers.

Answer:

a

Step by step explanation:

maybe

Answer:

1.768

Step-by-step explanation:

Answer:

1.77 ft^3

Step-by-step explanation:

V=4/3pi(3/4)^3

V=4*3^3pi/3*4^3

V=9pi/4^2

V=9pi/16

V=1.77

Answer:

a) 60%

b) 55%

Step-by-step explanation:

a) Count the shaded boxes: 6

Count the total: 10

6 / 10 = 60%

b) Count the shaded boxes: 11

Count the total: 20

11 / 20 = 55%

Answer:

Hey!

a) 60%

b) 55%

Step-by-step explanation:

how do you get a??

we have to c ount the shaded boxes: 6 boxes

6 divided by 10 = 0.6 (multiply by 100 to get 60%)

Now...

We have to count the shaded boxes: 11 boxes in total

Count the total available boxes: 20

11 divided by20 = 0.55 (multiply by 100 to get 55%)

HOPE THIS HELPS!!

Answer: The first one is A. 16 + 10 +10 +10 +10  

The second one is 40  units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you get all the areas together, the answer is A. Sorry i was late to help

Answer:

204inches i think

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

edge

Answer:

77

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

did the exam on edge and got 100

The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the linear function that is represented by the table,

Slope, m = [(-3/5) - (-13/30)]/[(2/3)-(1/4)]

= [(-18+13)/30] / [(8-3)/12]

= -(12/30)

= -(2/5)

The y-intercept of the linear function that is represented by the table can be found by substituting the coordinate of any one point in the equation of the line.

[tex]y = mx + c\\\\-(\dfrac{2}{15}) = -(\dfrac{2}{5})(-\dfrac12) + C\\\\-\dfrac{2}{15} = \dfrac15 + C\\C = -\dfrac5{15}\\\\C = -\dfrac13[/tex]

Hence, The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

Answer:

idk

Step-by-step explanation:

Answer:

y = -70

Step-by-step explanation:

    212 - y = 282

212 - 282 = y

         -70 = y

            y = -70

Answer:

You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.

The correct answer is D. angle bisector.

Hope this helps =)

Answer:

65x+91y+104

Step-by-step explanation:

13(5x + 7y + 8)​

Distribute

12*5x +13*7y+13*8

65x+91y+104

Answer:65x+91y+104

Step-by-step explanation:

(13)(5x+7y+8)

(13)(5x)(13)(7y)+(13)(8)

65x+91y+104

Hope this helps

Answer: 48, 52

Step-by-step explanation:

The sum of the two numbers (x, y) is 100. This means that;

x+y=100

Their difference is 4, so;

y=x+4

Now, you can substitute that in for y;

x+(x+4)=100

Simplify;

2x+4=100

2x=96

x=48

Now, we plug in the value of x to the second equation;

y=48+4

y=52

Answer:

48 and 52

Step-by-step explanation:

We have a pair of simultaneous equations and will solve these using substitution.

x + y = 100 (1)

x - y = 4 (2)

Solve for x:

x+y=100 , x - y = 4

x=52

Substitute x with 52

(52) + y = 100  , (52) - y = 4

Simplify:

y = 48

Answer:

7(10+5)

Step-by-step explanation:

Answer:

x ≤ 40

Step-by-step explanation:

Given

[tex]\frac{x}{-8}[/tex] ≥ - 5

Multiply both sides by - 8 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ 40

Answer:

[tex]4(x-4.5)^2+60.75[/tex]

Step-by-step explanation:

[tex]h(x)=4x^2-36x+81\\\\h(x)=4(x^2-9x+20.25)+60.75\\\\h(x)=4(x-4.5)^2+60.75[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Use the formula  

b/2^2

Answer: 4( x- 9/2)^2 + 0

Answer:

1

Step-by-step explanation:

Answer:

i say 7/100

Step-by-step explanation:

if the 100 tickets is your total then its your denominator

the 7 is represents the tickets what are winners

Answer:

Step-by-step explanation:

The Standard Deviation is defined as

[tex]\sigma =\sqrt{\frac{\Sigma (x_{i} -\mu)^{2} }{N-1} }[/tex]

Where [tex]\sigma[/tex] is the standard deviation, [tex]\mu[/tex] is the mean and [tex]N[/tex] is the total number of data.

So, first, we need to find the mean of the data set.

[tex]\mu = \frac{10+11+12+10.5+11.25+12.25+10}{7} =11[/tex]

Now, we have to subtract each data with the mean to then elevate the differnece to the square power.

[tex]10-11 = -1 \implies (-1)^{2}=1\\ 11-11 = 0 \\12-11 = 1 \implies 1^{2}=1\\ 10.5-11 = -0.5 \implies (-0.5)^{2} =0.25\\11.25 - 11 = 0.25 \imples (1.25)^{2}=0.0625\\12.25 - 11 = 1.25 \implies (1.25)^{2}=1.5625\\10-11 = -1 \implies (-1)^{2}=1[/tex]

Then, we sum all these results.

[tex]\Sigma (x_{i}- \mu )^{2}=1+0+1+0.25+0.0625+1.5625+1=16.278[/tex]

Next, we divide the sum by [tex]N-1=7-1=6[/tex]

[tex]\frac{\Sigma (x_{i}-\mu )^{2} }{N-1}=\frac{16.278}{6} \approx 2.713[/tex]

Finally, we apply the square root.

[tex]\sigma = \sqrt{2.713} \approx 1.65[/tex]

Therefore, the standard deviation for the given data set is 1.65.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,

[tex]60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = \frac{20}{5} = 4[/tex]

In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:

[tex]y = 65*4\\y = 260[/tex]

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Answer:

Bella will pass Ajjan after 4h and they will have travelled 260 miles.

Step-by-step explanation:

Answer & Step-by-step explanation:

y = 2x - 3

-x - 8y = 7

Since, we have a equation for y, then we can substitute this equation for y to solve for x.

-x - 8(2x -3) = 7

-x - 16x + 24 = 7

-17x + 24 = 7

-17x = -17

x = 1

So, since we know that x is equal to 1, then we can plug in this number for the equation of y to find y.

y = 2(1) - 3

y = 2 - 3

y = -1

So, the solution is (1, -1). X equals 1 and y equals -1.