A rectangular painting has a length of 8 inches and an unknown width, w. The area of the painting is less than 64 square inches. Which inequality represents the possible values of w? w less-than 8 w greater-than 8 w greater-than 56 w less-than 56

Answer:

x = 9, y = 29 or (8,29)

Step-by-step explanation:

Set the equations equal to each other because they both equal y:

4x - 3 = 2x + 13

Combine like terms:

2x = 16

Divide by 2:

x = 8

Plug 8 into the x for both equations and see if the y is the same:

y = 4(8) - 3 = 32 - 3 = 29

y = 2(8) + 13 = 16 + 13 = 29

Answer:

83/100

Step-by-step explanation:

Decimals to fractions

Answer:

x = -1/2 , 4

Step-by-step explanation:

1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x+1=0

x−4=0

2) Set the first factor equal to 0.

2x+1=0

3) Subtract 1 from both sides of the equation.

2x=−1

4) Divide each term by 2 and simplify.

2x/2= −1/2

5) Cancel the common factor of 2.

x= −1/2

6) Move the negative in front of the fraction.

x = −1/2

7) Set the next factor equal to 0 and solve.

x=4

8) The final solution is all the values that make

(2x+1)(x−4) = 0 true.

9) x = −1/2 , 4

Answer: 4 3/8

Step-by-step explanation:

If he walks 7/8 every 1/5 of an hour, we can multiply that by 5 to get how much he travels every hour. 7/8 * 5=35/8. 35/8 simplifies to 4 3/8

Answer:

-25,  -23.1,   3,   12,   13

Answer:

-25, -23.1, 3, 12, 13

Step-by-step explanation:

Answer:

41.65

Step-by-step explanation:

"None for now"

Answer:

41.65

Step-by-step explanation:

100% - 15% = 85%

85% of 49 is 41.65 or 0.85x49=41.65

Answer:

8 sides

The building is an octagon

Step-by-step explanation:

The sum of all the interior angles in a polygon can be found by the equation

S

=

180

(

n

−

2

)

where

n

is the number of sides the polygon has.

We know that one interior angle is

135

degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be

135

n

(

135

degrees times the number of sides, or the number of angles).

135

n

=

180

(

n

−

2

)

135

n

=

180

n

−

360

135

n

+

360

=

180

n

45

n

=

360

n

=

8

→

There are

8

sides and

8

interior angles of

135

degrees

Answer:

Theoretical probability is based upon what is expected when rolling two dice, as seen in the "sum" table at the right. The theoretical probability of rolling an 8 is 5 times out of 36 rolls. The theoretical probability = 5/36 ≈ 13.9%. 3) The experiment rolled more 8's than would be expected theoretically.

Step-by-step explanation:

The theoretical probability of not rolling a 2 is 5/6.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Assuming a fair six-sided die, the probability of rolling a 2 is 1/6.

Therefore, the probability of not rolling a 2 on a single roll of the die is:

P(not rolling a 2) = 1 - P(rolling a 2) = 1 - 1/6 = 5/6

Thus,

The theoretical probability of not rolling a 2 is 5/6.

Learn more about probability here:

https://brainly.com/question/14099682

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Answer:

6-16y

Step-by-step explanation:

Multiply 2 by the numbers inside the parentheses.

Answer:

There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Step-by-step explanation:

Let S represents Prana's savings account and C represents Prana's chequing account.

Prana has a savings account and a chequing  account with a total balance of $85.

Mathematically,

S + C = 85      eq. 1

His parents doubled the amount in each  account and the new total balance is $170.

Mathematically,

2(S + C) = 170

2S + 2C = 170      eq. 2

We have two equations and two unknowns.

S + C = 85

S = 85 - C

Substitute the above equation into eq. 2

2S + 2C = 170

2(85 - C) + 2C = 170

170 - 2C + 2C = 170

2C + 2C = 170 - 170

0 = 0

So what does it mean?

it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Answer:

4 Over 5  (4/5)

Step-by-step explanation:

we have

[tex]y=\frac{4}{5}x-3[/tex]

This is the equation of a line in slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=\frac{4}{5}[/tex]

[tex]b=-3[/tex]

therefore

The slope is [tex]\frac{4}{5}[/tex]

The slope of the given line is equivalent to 4/5.

The equation of a line in slope intercept form is expressed as y = mx + b

where:

m is the slope

b is the y-intercept

Given the equation of a line y = 4/5x. - 3, we are to determine its slope

In this case, the coefficient of x is (4/5), which represents the slope of the line.

m = 4/5

Therefore, the slope of the line is 4/5.

Learn more on slope here: https://brainly.com/question/16949303

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Answer:

A =153.86 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 7 and we can approximate pi by 3.14

A = 3.14 *7^2

A =153.86 m^2

Answer:

b

Step-by-step explanation:

it is the only linar one

Answer:

[tex]9 \frac{1}{3} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 2 \times 2 \times \frac{7}{3} \\ = 4 \times \frac{7}{ 3} \\ = \frac{28}{3} {cm}^{3} = 9 \frac{1}{3} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer:

the answer is attached to the picture

Answer:

4.28

Step-by-step explanation:

Answer:

Jada’s neighbor is 16 years of age

Step-by-step explanation:

In this question, we are interested in calculating the age of Jada’s neighbor, given the information in the question.

Let the present age of the neighbor be x years

Her age in 4 years will be x + 4 years old

Her age 4 years ago was x -4 years old

Now, the difference between twice her age in 4 years minus twice her age 4 years ago is her present age.

mathematically that means;

2(x+ 4) - 2(x -4 ) = x

2x + 8 - 2x +8 = x

16-0 = x

x = 16 years

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]

Hope this helps!

Answer:

x=26

Step-by-step explanation:

3x +12 =90

subtract 12 from each side

3x=78

divide 3 from each side

x=26

Answer:

x = 26

Step-by-step explanation:

Before we begin, we must first remember that to solve for x, we have to get the variable (x) by itself.

To start, you would first subtract 12 from the left and right side of the equation.

3x + 12 - (12) = 90 - (12)

The 12 would cancel out on the left side (12 - 12 = 0) and you would now be left with 3x = 78.

Next, you would divide the left and ride side by 3.

3x ÷ 3 = 78 ÷ 3

This gives you the answer of 1x = 26 or x = 26

Answer:

the answer is: "Subtract 4 from 15. Then multiply the difference by 3."

Step-by-step explanation:

If there are 4 fewer blue pens in a box than black pens, and there are 15 black pens in each box, then that means there are 11 blue pens in each box.

So then, how many blue pens are in 3 boxes? There are 33 blue pens in 3 boxes, you can find this out by multiplying, 11 by 3.

the numerical answer is:

11 x 3 = 33

or, 3 x ( 15 - 4)

I hoped this helped!

Answer:

12.5 m

Step-by-step explanation:

recall that 1 km = 1000 m

hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr

also recall that 1 hour = 60 x 60 = 3600 s

hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.

given that is eyes were closed for 0.5 s.

in 0.5s, he travelled :

0.5s x 25 m/s = 12.5 m

Answer: 230 Marbles

Step-by-step explanation:

Let Xavier marbles be x

Let Thomas marbles be y

Let Mei marbles be z

Xavier, Thomas, and Mei had 650 marbles.

x + y + z = 650

Thomas had 3 times as many marbles as Mei.

y = 3 × z

y = 3z

Mei had 50 fewer marbles than Xavier.

x = z - 50

We can plug all the equation gotten back into the first equation

x + y + z = 650

Since y = 3z and x = z - 50

x + y + z = 650

(z - 50) + 3z + z = 650

z - 50 + 3z + z = 650

5z - 50 = 650

5z = 650 + 50

5z = 700

z = 700/5

z = 140

Mei has 140 marbles

Since x = z - 50

x = 140 - 50

x = 90

Xavier has 90 marbles

y = 3z

y = 3 × 140

y = 420

Thomas has 420 marbles

Xavier and Mei marbles = 90 + 140

= 230 marbles

Answer:

16 sq. in

Step-by-step explanation:

I think you are asking for the area. The rectangle to the right of the dotted line has dimensions of 4 by 3, so its area is 4 * 3 = 12. We know one of the small rectangle's dimensions, 2, but we don't know the height. However, we see that the difference between the heights of the two figures is 1, and we already know the height of the larger rectangle is 3, so the height of the smaller square is 2. This makes its area 2 * 2 = 4. The total area would then be 12 + 4 = 16 sq. inches. Hope this helps!

Answer:

8

Step-by-step explanation:

6.35- 3.15 is 3.20.

3.20÷.40=8

hope this helps :)

Its C, I did a test                                              

Answer:

25%

Step-by-step explanation:

The chance of getting a heads each time is 1/2. Since they are both independent events, you can multiply them together to get a total probability of 1/4 or 25%. Hope this helps!

Answer:

Step-by-step explanation:

Area of a sector = [tex]\frac{\theta}{360} * \pi r^{2}[/tex]

Given radius r = 10units

[tex]\theta = \frac{2\pi}{5}[/tex]

[tex]\pi = 3.14[/tex]

substituting the given values into the equation above;

Area of the sector = [tex]\frac{2\pi}{5*360} * \pi *10^{2}[/tex]

Area of the sector [tex]=\frac{100\pi}{5}[/tex]

Area of the sector = [tex]20\pi units^{2}[/tex]

Answer:

7(2a +7)

Step-by-step explanation:

[tex]14a+49\\=7\times 2a+7\times 7\\= 7(2a +7)[/tex]

Answer:

£12,362.70

Step-by-step explanation:

I used the compound interest formula to work this out.

£12,000 (original amount) x 1.015²

1.015 = 1.5% --- squared because the investment was 2 years.

Hope this helps :D