Which expression matches the situation?
Patrick cuts a piece of board 4 feet long from a board that is "b" feet long.
Please help

Step-by-step explanation:

Total company pay

= Pay for food booths + Pay for game booths

= 11($200 + $9d) + 28($95 + $6d)

= $2200 + $99d + $2660 + $168d

= $4860 + $267d

= $3(1620 + 89d).

Answer:

Integers are Not Closed under Division

Step-by-step explanation:

Answer:

Integers are Not Closed under Division.

Step-by-step explanation:

There are three integers between-2 and 2. ... The set of integers is closed under addition, subtraction, and multiplication because when I add, subtract, or multiply any integers, the result is always an integer. The set is not closed under division because 2 + 4 = 0.5, and 0.5 is not an integer. The integers are "closed" under addition, multiplication and subtraction, but NOT under division ( 9 ÷ 2 = 4½). (a fraction) between two integers. Integers are rational numbers since 5 can be written as the fraction 5/1.

Answer:

f(x)=-3x^2

f(-2)=-3*(-2)^2

f(-2)=-3*4

f(-2)=-12

Answer:

Area of triangle is 12.5

Step-by-step explanation:

We need to use the determinant method to find the area of a triangle ABC with vertices at A (1,6) B (4,2) and C (-3,3)​

The formula used is: [tex]Area=\pm \frac{1}{2}\left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{array}\right|[/tex]

We are given:

[tex]x_1=1,y_1=6,x_2=4,y_2=2,x_3=-3,y_3=3[/tex]

Putting values and finding area

[tex]Area=\frac{1}{2}\left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{array}\right|\\Area=\frac{1}{2}\left|\begin{array}{ccc}1&6&1\\4&2&1\\-3&3&1\end{array}\right|\\Area=\frac{1}{2}(1\left|\begin{array}{cc}2&1\\3&1\end{array}\right|-6\left|\begin{array}{cc}4&1\\-3&1\end{array}\right|+1\left|\begin{array}{cc}4&2\\-3&3\end{array}\right| )\\Area=\frac{1}{2}(1(2-3)-6(4-(-3))+1(12-(-6)))\\Area= \frac{1}{2}(1(-1)-6(4+3)+1(12+6))\\Area= \frac{1}{2}(1(-1)-6(7)+1(18))\\Area= \frac{1}{2}(-1-42+18)\\[/tex]

[tex]Area=\frac{1}{2}(-25)\\Area=-12.5\\[/tex]

We take mode of -12.5 i.e. |-12.5| because area can't be negative.

[tex]Now, \\Area=|-12.5|\\Area=12.5[/tex]

So, Area of triangle is 12.5

Answer:

I think 2, 3, and 4 are equivalent pairs.

Step-by-step explanation:

Answer:

JHI = 23°

Step-by-step explanation:

Since it's a rectangle it has 4 right angles.

90= 3x + 2 + 12x -17

90= 15x -15

105= 15x

x=7°

So HJI would be 12*7 -17 = 67°

Knowing that the sum of the angles of a triangle is 180°,

67° + 90°+ JHI= 180°

JHI = 23°

Answer:

Step-by-step explanation:

we have 2 equations that we can set equal to 90. that way, we can find x and then solve the equations for themselves. angle JHI is equal to GJK, which is an angle we can easily find. here is my work:

(3x + 2) + (12x - 17) = 90

15x - 15 = 90

      + 15  + 15

15x = 105

x = 7

3(7) + 2

21 + 2

GJK = 23

so, since the two angles are congruent, that means that angle JHI = 23 degrees

Answer:

The image does not pop up for me because im on a laptop so im sorry

Step-by-step explanation:

i kinda just need point

Answer:

x = 12

Step-by-step explanation:

set up a proportion:

24 = 32

 33     32+x

24(32 + x) = 32(33)

768 + 24x = 1056

24x = 288

x = 12

Answer:

12x+20

Step-by-step explanation:

Perimeter of a garden = 4s, s being the length of the side

In this case, s = 3x+5

substitute the equation

4(3x+5)

=12x+20

HEY THERE!!!!

The correct answer is 34°

They are supplementary angles (connect with a straight line) which means that their angles add up to 180° so:

180 = x + 156

34 = x

HOPE IT HELPS AND WOW I MADE IT LOL

Answer:

I'll do my best without a picture..

Step-by-step explanation

so the length 3 more than twice the width....most likely from what i can think of 19 if not a higher number

Answer:

Step-by-step explanation:

1

-

8 exponent 9

Answer:

Step-by-step explanation:

From the figure attached,

ΔABC has been dilated to form another triangle ΔA'B'C'.

Therefore, ΔA'B'C' is the image triangle of preimage ΔABC.

Coordinates of preimage ΔABC are,

A(3, 3), B(2, 0) and C(5, 2)

Coordinates of ΔA'B'C',

A'(6, 6), B'(0, 4) and C'(10, 4)

Since, dilation of a triangle is a similarity transformation which produces the  similar image of the preimage.

Rule for the dilation is,

(x, y) → (kx, ky)

Here, k = scale factor of dilation

By this rule,

A(3, 3) → A'(6, 6)

          → A'(2×3, 2×3)

Scale factor = 2

Therefore, "Triangle (ABC) is dilated by a scale factor 2 about the origin to form triangle (A'B'C') ".

Answer:

Ratios are proportional if both serve the identical tie. A method to detect if a pair of ratios remain equivalent is to rewrite them being fractions, then decrease them. If the decreased fractions are equal, the ratios are comparative.

Step-by-step explanation:

Answer:

still need help?

Step-by-step explanation:

Answer:

John will be 16 years old when he is twice as old as his brother, which will then be 8.

Step-by-step explanation:

Currently John is 12, and is three times as old as his brother thus, his brother is 12 divided by 3, which is 4 years old.

Thus when John is 12, his brother is 4. There is thus a 8 year difference between the two brothers.

So we can write a small equation to solve John’s age when he will be twice as old.

John’s age = X

John’s Brothers age = X - 8

Thus : X - 8 = X/2, John’s age minus the difference of 8 years must equal John’s age divided by 2, to make John twice as old as his brother.

X - 8 = x/2

X = X/2 + 8

(2*X)/2 = (X/2) + (16/2) - Place all numbers as fractions of 2 by multiplying x 2

2*X = X + 16

2*X -X = 16

X+X -X = 16

X = 16

John’s age will be 16 when he is twice as old as his brother which will be 8.

John : 16 - 12 = 4 : Subtract current Age

His Brother: 8 - 4 = 4 : Subtract current Age

In 4 years time John will be twice as old as his brother

16 = 8 * 2

The age of Bob and John is 6 and 18 respectively.

According to the question;

and

where; x = Bob's age and y = John's age.

By substituting 3x for y in equation (1). We have;

Therefore, since, x = 6;

Ultimately, The age of Bob and John is 6 and 18 respectively.

Read more on word problems;

https://brainly.com/question/21405634

Answer:

12 pencils

Step-by-step explanation:

36/6 = 6

you need to divide 36 by 6 as there are 36 pencils.

= 2 * 6 = 12

Answer: (c)

Step-by-step explanation:

Given

length of two sides of a triangle is 6 cm and 11 cm

In a triangle length of the third side lies between the sum and subtraction of the other two sides

Suppose x is the length of the third side so

[tex]11-6<x<11+6\\5<x<17[/tex]

Answer:

The answer to the first one should be $27.32 is what the full bill costs with tax.

The answer to the second one they added an 18% tip ontop.

Step-by-step explanation:

The explanation for the second one is 27.32*.18=4.92+27.32=32.24 meaning they gave an 18% tip.

Answer:

x=3

Step-by-step explanation:

7) 18x+27

I would love to answer number eight, but it's not clear. (I need a full pic of 8)

Answer:

See below.

Step-by-step explanation:

7.)

-9(-2x - 3)

18x + 27

8.)

Can't quite see it properly but I think its 2x - 17. It could be written as -17 + 2x.

Answer:

|-1| / 4 = 0.25

The absolute value of 0.25

Step-by-step explanation:

Find 100% of the price:

100 - 15 = 85% (Sale price)

85% = 136

1% = 136 divide 85 = 1.6

100% = 1.6 x 100 = 160

Ans: £160

Answer:

c

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

total miles driven is 80. at .50 a mile that means it will cost $40 for the mileage. $40+25 (rental of van) to get answer

Answer:

50

Step-by-step explanation:

5 + 3² · 5

The exponents come first, then the multiplication, then the addition:

5 + 9 · 5 = 5 + 45 = 50

Answer:

50

Step-by-step explanation:

5 + (3^2) x 5

= 5 + 9 x 5

= 5 + 45

= 50

Answer:

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

[tex]cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}[/tex]

[tex]\cos \left(60^{\circ \:}\right)=\frac{1}{2x}[/tex]

[tex]\frac{1}{2}=\frac{1}{2x}[/tex]          ∵ cos (60°) = 1/2

[tex]2x=2[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{2}{2}[/tex]

Simplify

[tex]x=1[/tex]

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

[tex]y=\frac{\sqrt{3}}{2}[/tex]       ∵  [tex]\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]

Therefore, the value of y is:

[tex]y=\frac{\sqrt{3}}{2}[/tex]      

Summary:

Answer:

x = 4/7 or 0.571428571

Step-by-step explanation: