A man and his wife go shopping. They begin with $200 total. First, they stop for lunch, spending $15.00. Then, they buy three items at $20.00 each. Later, the wife spends twice what her husband spends. They return home with $20.00 cash. How much did the wife spend?

Answer:

(11,3)

Step-by-step explanation:

Answer:

B contains a table with a logical series of statements and reasons that reach a conclusion.

Step-by-step explanation:

A two-column proof

uses a visual representation of the logical flow of steps needed to reach a conclusion.

contains a table with a logical series of statements and reasons that reach a conclusion.

contains a set of sentences explaining the steps needed to reach a conclusion.

uses inductive reasoning to prove a statement.

Answer: 5

Step-by-step explanation:

17 1/2 is equal to 17.5

3 1/2 is equal to 3.5

Since 17.5 is the area, you must divide by 3.5, which equals 5

To find the length of the longer side of a rectangle with an area of 17 1/2 square inches and a shorter side of 3 1/2 inches, divide the area by the width to get the length. The length of the longer side is 5 inches.

The question is asking how to find the length of the longer side of a rectangle given that the area of the rectangle is 17 1/2 square inches and one of the shorter sides is 3 1/2 inches. To find the length of the other side, which we will call length, use the formula for the area of a rectangle which is area = length × width. Since the area and width (shorter side) are known, the equation can be set up as follows:

Therefore, the length of the longer side of the rectangle is 5 inches.

The original price of jacket was $180

Step-by-step explanation:

Markdown is the money that is reduced on an item on sale.

Given

Markdown = $63

Percentage = 35%

Let x be the price of the jacket

Then the percentage formula will be sued to find the price of the jacket

[tex]Markdown= 35\%\ of\ x\\63 = 0.35 * x\\x = \frac{63}{0.35}\\x = 180[/tex]

Hence,

The original price of jacket was $180

Keywords: Percentage, Mark up, mark down

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Answer:

A’ is (3,-3)

B’ is (-1,-4)

C’ is (-1,2)

D’ is (3,1)

Step-by-step explanation:

the other person gto one wrong this is what it should be

have a good day hope this helped

I have a pic to show you

Answer:

The answer is 9.396

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

x-13+2x+1=180

3x-13+1=180

3x-12=180

3x=180+12

3x=192

x=192/3

x=64

Answer:

X=83

Step-by-step explanation:

UH TOO LAZY TO EXPLAIN. lol

As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.

Updated Question:

"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"

Answer:

Correct answer for this question is first option because it satisfies the first inequality but not the second one.

Step by Step Explanation:

[tex]NO,\\4c+6a\leq 120\\ and\\4c+4a\leq 100[/tex]

First Inequality:

4(20)+6(6)≤120

80+36≤120

116≤120 ⇒ TRUE

Second Inequality:

4(20)+4(6)≤100

80+24≤100

104≤100 ⇒ FALSE

Answer:

-1/4 x = 7

x4          x4

-x        = 28

x = -28

Step-by-step explanation:

Answer: -1/4*-28=7

x=-28

Step-by-step explanation:

First, do -1/4 and you should get-0.25 as your answer .

Next, do 7/-0.25

Last, check your answer and to do so simply multiply -1/4*-28 and you should get 7 as your final answer.  

To find the y-intercept, rewrite the equation of the line in slope-intercept form:

Slope-intercept form: y = mx + b   (b is the y-intercept)

This is how you get your equation in slope-intercept form:

5x -3y = -12

-3y = -5x - 12

-3y/-3 = (-5x -12)/-3

y = (5/3)x + 4

The answer is 4.

Please let me know if you understand in the comments!

Answer:

2 bc cos A

Step-by-step explanation:

Cosine rule

The missing part of the equation is 2bc cos A. This equation is a form of the Law of Cosines from trigonometry, which provides a relationship between the lengths of the sides of a triangle and one of its angles.

The equation presented is a variant of the Law of Cosines in trigonometry. To complete the equation accurately, we need to choose the right trigonometric relationship between sides a, b, c, and one of the angles. The correct completion of the equation is 2bc cos A.

The Law of Cosines can be stated in three different ways depending on the specific circumstances:

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Answer:

20

Step-by-step explanation:

we know that

In a parallelogram, opposite  angles are congruent and consecutive angles are supplementary

In this problem

M and N are consecutive angles so

[tex]m\angle M+m\angle N=180^o[/tex]

substitute the given values

[tex]3x^o+(8x-40)^o=180^o[/tex]

solve for x

[tex]11x-40=180\\11x=220\\x=20[/tex]

Answer:

20

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Plug it in

Answer:

it's 312

Step-by-step explanation:

1/6 is the total number of outcomes from the cube

1/52 is the total number of outcomes from the deck

multiply them and get 1/312

312 outcomes!

The question is an illustration of arrangement and selection.

The total number of outcomes is 312

The given parameters are:

Cube and Standard deck

A cube has 6 faces

A standard deck has 52 cards

So, the total number of outcome is:

[tex]\mathbf{Total = Cube \times Standard\ deck}[/tex]

Substitute known values

[tex]\mathbf{Total = 6 \times 52}[/tex]

[tex]\mathbf{Total = 312}[/tex]

Hence, the total number of outcomes is 312

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Answer: 34.2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

lets find out..

x - 3y < 1.....check (2,-1)....x = 2 and y = -1

now we sub

2 - 3(-1) < 1

2 + 3 < 1

5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution

Answer:false

Step-by-step explanation:

Answer:

i don't see no number line

Step-by-step explanation:

Answer:

no pic

Step-by-step explanation:

The value of [tex]\bold{ h(h(10))=10}[/tex]

Solution:

Given: [tex]h(x) = 6 - x[/tex]

To find: The value of (h*h)(10)

We know that, [tex](h*h)(x)=h(h(x))[/tex]

which is,

[tex]\Rightarrow h(h(x))=6-(6-x)=x[/tex]

On solving we get,

[tex]\Rightarrow6-6+x=x[/tex]

So, for x = 10 it will be,

[tex]h(h(10))=10[/tex]

Hence, the required value is 10.

In the inequality 3(x – 4) < 8x + 13, the first step is to distribute the 3 on the left-hand side. That results in the inequality 3x – 12 < 8x + 13. Therefore, the correct answer from the options given is (D) 3x – 12 < 5 8x + 13.

The question is asking for the inequality that could result after the first step when solving the given inequality 3(x – 4) < 8x + 13. The first step involves distributing the multiplication on the left side of the inequality. Therefore, 3 multiplied by x gives 3x and 3 multiplied by -4 gives -12. This leads to the inequality 3x – 12 < 8x + 13.

So, the correct answer from the options given is:
(D) 3x – 12 < 5 8x + 13.

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Answer:

320 miles = (8 hours)(r)

r = 40 mph

Step-by-step explanation:

6(2(y+x))=6(2x+2y)=12x+12y

Answer:

12y + 12x

Step-by-step explanation:

You're welcome.

Answer: 13

Step-by-step explanation:

The formula for finding distance between two points is given by :

D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]x_{1}[/tex] = -4

[tex]x_{2}[/tex] = 1

[tex]y_{1}[/tex] = 9

[tex]y_{2}[/tex] = -3

Substituting the values into the formula , we have :

D = [tex]\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}[/tex]

D = [tex]\sqrt{(5)^{2}+(-12)^{2}}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13

Therefore : the distance between the points is 13

Answer:

[tex]x= (3, \frac{3}{10} )[/tex]

Step-by-step explanation:

The figure is composed of two similar triangles; therefore,

[tex]\frac{7x}{19x-4} =\frac{7x+8}{(5x+5)+(19x-4)}[/tex] this says the ratio of the sides is same for the two triangles.

we simplify and a rearrange to get

[tex]7x(24x+1)=(7x+8)(19x-4)[/tex]

which we expand and get

[tex]168x^2+7x=133x^2+124x-32[/tex]

[tex]35x^2-117x+32=0[/tex]

this quadratic equation has solutions

[tex]x=3.04[/tex]

[tex]x=0.30[/tex]

As integers and simplified fractions these are

[tex]x= (3, \frac{3}{10} )[/tex]

Answer:

Step-by-step explanation

51.4% of the total population is 126 million

let x be the total population

turn ur percent to a decimal

0.514x = 126,000,000

x = 126 / 0.514

x = 245,136,186.77 <==

Answer:

245 millions

Step-by-step explanation:

51.4 > 126million

100 > X

X=100*126/51,4

X=245.1

The expression that represents the number of stamps that Jenna has is 2x - 20

Step-by-step explanation:

Let us revise some algebraic expressions

∵ Jenna and Callie collect stamps

∵ Jenna has 20 less than twice the number of stamps that Callie has

- Assume that Callie has x stamps, that means to find the number

  of stamps of Jenna multiply x by 2 and subtract 20 from the product

∵ Callie has x stamps

∵ Twice means × 2

∴ Jenna has = 2(x) - 20

∴ Jenna has = 2x - 20

The expression that represents the number of stamps that Jenna has is 2x - 20

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The exact value of cos(67.5°) is found using half-angle identities in trigonometry, which leads to the solution √(2 - √2)/2.

To find the exact value of cos (67.5°), we can use the half-angle identity for cosine which states that cos(θ/2) = ± √ ((1+cosθ)/2). In this case, to find the cosine of 67.5 degrees, we effectively need to calculate the half-angle of 135 degrees.

Thus, cos(67.5°) = cos(135°/2) = √ ((1+cos135°)/2) = √ ((1 - √2/2)/2). This further simplifies to √(2 - √2)/2.

This is because the cosine of 135 degrees equals -√2/2 (as it's in the second quadrant where cosine is negative).

Therefore, the exact value of cos(67.5°) is √(2 - √2)/2.

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Answer:

20 inches

Step-by-step explanation:

hope this helps you