Question 9 (5 points)
(03.04 LC)
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number? (5 points)

a
x − (x + 4) = 52

b
x + (x + 4) = 52

c
x(x + 4) = 52

d
x(x − 4) = 52

Question 10 (5 points)
(03.05 MC)
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? (5 points)

a
8 + 9n ≥ 80, so n ≥ 8

b
8 + 9n ≤ 80, so n ≤ 8

c
9n ≥ 80 + 8, so n ≥ 9.8

d
9n ≤ 80 + 8, so n ≤ 9.8

Question 11 (5 points)
(03.05 MC)
Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell? (5 points)

a
43 + 3n ≥ 70, so n ≥ 9

b
43 + 3n ≤ 70, so n ≤ 9

c
43 + 3n ≥ 70, so n ≥ 24

d
43 + 3n ≤ 70, so n ≤ 24

Question 12 (5 points)
(03.05 MC)
Chad wants to buy some books over the Internet. Each book costs $10.01 and has a shipping cost of $9.96 per order. If Chad wants to spend no more than $50 for his books, which inequality shows the maximum number of books, p, that he can buy? (5 points)

a
9.96p − 10.01p ≤ 50, so p ≤ 1

b
9.96p + 10.01p ≤ 50, so p ≤ 2

c
9.96 − 10.01p ≤ 50, so p ≤ 3

d
9.96 + 10.01p ≤ 50, so p ≤ 4

Answers

Answer 1

Answer:

9. B, 10. A, 11. A, 12. D

Step-by-step explanation:

Question 9

The smaller number is x, the greater number is x + 4, their sum is 52:

x + (x + 4) = 52

Correct choice is B

Question 10

$8 and 9n should sum at least $80:

8 + 9n ≥ 80 ⇒ 9n ≥ 72 ⇒ n ≥ 8

Correct choice is A

Question 11

$43 and 3n should sum at least $70:

43 + 3n ≥ 70 ⇒ 3n ≥ 27 ⇒ n ≥ 9

Correct choice is A

Question 12

P books cost $10.01p and $9.96 for shipping, the total should be no more than $50:

9.96 + 10.01p ≤ 50 ⇒ 10.01p ≤ 40.04 ⇒ p ≤ 4

Correct choice is D


Related Questions

Use the number line below to help you determine which of the following expressions is true.
5.04
5.4
5.520
5.71
5.26
-+
5.3
5.0
5.1
5.2
5.4
+
5.6
5.5
5.7
5.8
5.9
6.0
O 5.26 > 5.4
O 5.04 < 5.4
O 5.4 = 5.04
O 5.520 < 5.26

Answers

Answer:

  (b)  5.04 < 5.4

Step-by-step explanation:

The pointed end of the < symbol points to the smaller (lesser) number or expression. Here, the number 5.04 is less than 5.4, so the appropriate choice is ...

  5.04 < 5.4

these two figures are similar find the length of the side x

Answers

Answer:

6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7

Answer:

x = 6

Step-by-step explanation:

This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.

51 is 10% of what number

Answers

Answer:

10 percent of 51 is 5.1

Answer:

51=10

510=100

Step-by-step explanation:

51=10/100

x10

510

Which of the statements about the picture below are true? Check all that apply.

A. F is the circumcenter of the triangle.
B. F is the incenter of the triangle.
C. F is the point of concurrency of the perpendicular bisectors of the sides of the triangle.
D. F is the point of concurrency of the angle bisectors of the angles of the triangle.
E. F is equidistant from the angles of the triangle.
F. F is equidistant from the three sides of the triangle.

Answers

Answer:

Below

Step-by-step explanation:

The following are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F.    F is equidistant from the three sides of the triangle.

The following statements are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F. F is equidistant from the three sides of the triangle.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ. It has three connected vertices.

The circumcenter of a triangle is measured from the point at which the perpendicular bisectors of its sides cross.

The incenter of a triangle is the point at which the triangle's three internal angle bisectors meet.

Thus, the following statements are true:

B. F is the incenter.

D. F is the point of concurrency of the angle bisectors of the angles of the

F. F is equidistant from the three sides of the triangle.

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3 + 4x > 27
First subtract ____ from both sides.
Then ______ both side by 4
x > ______

Answers

Answer:

3

divide

6

Step-by-step explanation:

Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.

So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.

Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.

This is the final answer, x>6, x is greater than 6.

3+4x>274x>24x>6

The slope of the line whose equation is 2x + 5y + 1 = 0 is

Answers

Answer:

the slope is -2/5

Step-by-step explanation:

Solve for y.

2x + 5y + 1 = 0

5y = -2x - 1

y = -2/5 x - 1/5

Compare to

y = mx + b, where m is the slope.

m = -2/5

Answer: the slope is -2/5

I don’t know the answer for this

Answers

Answer:

I think it is probably -12

Step-by-step explanation:

The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=

Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=

Answers

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

The value of each expression is given below,

B(6)=85

B(2.75)=52.5

B(1.482)=39.82

Value of x for each expression,

B(x)=93; x=6.8

B(x)=42.1; x=1.7

B(x)=116.25; x=9.125

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is B(x)=10x+25.

The value of each expression will b calculated as,

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

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julieta drew the triangle that is shown below. julieta rotated the triangle 180 degrees clockwise about the origin. what is the new triangle?​

Answers

Step-by-step explanation:

The coordinates of the rotated triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ABC

Now , the coordinates of the triangle ABC is

The coordinate of A = A ( 1 , 1 )

The coordinate of B = B ( 3 , 2 )

The coordinate of C = C ( 2 , -2 )

Now , on rotating the triangle ABC by 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

Substituting the values in the equation , we get

The rotated triangle will have the coordinates A'B'C'

The coordinate of A' = A' ( -1 , -1 )

The coordinate of B' = B' ( -3 , -2 )

The coordinate of C' = C' ( -2 , 2 )

Hence , the coordinates of the triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

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Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2

Answers

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

NOT SURE HELPP... it's a khan academy question

Answers

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]

Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)

Answers

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~

( p , p + q )

( p + 4 , 3q + 6 )

( p + p + 4 ) ÷ 2 = - 2

p = - 4

( - 4 + q + 3q + 6 ) ÷ 2 = 5

2q = 4

q = 2

A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?

Answers

Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

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Answer:

17.5

Step-by-step explanation:

i did the math and also im never wrong swear on got thats the annswer

venere madona de mihai eminescu particularitatile textului literar și poetic​

Answers

can u say it in english ?

98546 dividido para
46

Answers

Answer:

2142.30435

Step-by-step explanation:

The answer is 2142 and leaves remainder

Please help me help please please help me please

Answers

Answer:

y = 3x + 1 is the answer

Hello there! :)

The slope of this line is 3.

There are lots of ways to calculate the slope.

Here's one of them:

Rise/Run

Here, the rise is 3 (we move up 3 units)

And the run is 1 (we move 1 unit to the right)

3/1=3

So the slope is 3.

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 1.

So the equation is

y=3x+1

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest!

[tex]MysteriousNature :)[/tex]

if 1/3 of a gallon of paint covers 1/8 how much paint is needed to cover the entire wall

Answers

Answer:

4 gallons

Step-by-step explanation:

Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8

Answers

Answer
Y=x+8
Explanation
Y=mx+b

Answer:

Y=x+8

Step-by-step explanation:

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?

Answers

I think the answer might be 6 but I’m not really 100% sure

A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs? Explain your reasoning. 20 points!!!!!!!!

Answers

Answer:

6 four-packs.

Step-by-step explanation:

My reasoning for 6 four-packs is that, the shopper needs 24, right? And if that shopper buys 6 four-packs it'll be cheaper than the larger package. The 6 four-packs come to a cost of $20.04. But the 4 six-packs will come out as $21.12. The shopper will be able to save $1.08 :)

3x + 2 = 2x + 7
Solve x

Answers

3x + 2 = 2x + 7

Subtract 2 from both sides:

3x = 2x +5

Subtract 2x from both sides:

x = 5

Answer: x = 5

help me due today it is math

Answers

Answer:

B, C, and D.

Step-by-step explanation:

a)

d + 2 = 7

d = 5

b)

10 - d = 6

-d = -4

d = 4

c)

20 / d = 5

20 = 5d

4 = d

d)

4d = 16

d = 4

Hopefully this helps!

Brainliest please?

Answer this problem y =-7/5x-1/5

Answers

Step-by-step explanation:

y=-7/5x-1/5

=-7×5/5x-1

=-35/5x-1

)Of the people in the theater, 5% have seen the movie before. If there are 8 people who have seen the movie before, how many people are in the theater?

Answers

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

Would appreciate a brainly <3

14 - (-10)
Perform the indicated operation

Answers

Answer:

14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10    14 + 10 = 4

Write 2 over 5 as a percent.

Answers

Answer:

40%

Step-by-step explanation:

2/5 = 40/100 = 40%

plss do the working ​

Answers

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

geomtry plzzzz help me

Answers

Step-by-step explanation:

it is an isoceles triangle (equally long legs).

there is a right angle at W, so YW is the height of the isoceles triangle XYZ.

that means W splits XZ in half.

therefore,

ZW = XZ/2 = 38/2 = 19

Evaluate the expression for the given variable 4y-12, when y =7

Answers

Answer:

16

Step-by-step explanation:

y = 7

4(7)-12

28-12 = 16

If I pay 10% extra of my regular charge each month on my bill of $35.00, how long until I have built up a full month's credit?”
Representative: “You will have a full month’s credit in __________ months.”

Answers

Answer:

10 months

Step-by-step explanation:

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