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

Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)

Answers

Answer:

20 m

Step-by-step explanation:

1/50 = 40/x

Cross multiply.

1 × x = 50 × 40

x = 2000

2000 cm × (1 m)/(100 cm) = 20 m

Answer: 20 m

What is tan(50)?


-.57


5.88


2.36


1.19

Answers

Answer:

1.19

Step-by-step explanation:

tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918

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]

Please help! (Urgent)
Only answer if correct.

I will be asking more so stay tuned.

Answers

Answer:

Number of rotations: 5

Slope: 1/2

Step-by-step explanation:

Answer: why did you ask twice for the same problem

Step-by-step explanation:

How would I write 129.701 in expanded form

Answers

100+20+9+0.7+0.1 i think goodluck

A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days? ​

Answers

Answer:

8: 207

x: 143

and solve that to get your answer

The required answers are-

(a) The crew been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation to pave a road is,

L(d) = 207– 8d

where, length, L (in miles), and d days.

(a) For 143 miles of the road is left to be paved, the number of days is given as-

Put Length L(d) = 143 in the equation to pave a road

we get,

143 = 207– 8d

or, 8d  = 207– 143

or, 8d  = 64

or, d  = 64/8

⇒ d  = 8 days

So, The crew have been paving the road for 8 days.

(b) miles of the road have left for the crew to pave after 13 days.

Put d = 13 days in the equation to pave a road

we get,

L(d) = 207– 8*13

or, L(d) = 207– 104

⇒  L(d) = 103 miles

So,103 miles of the road have left for the crew to pave after 13 days.

Thus,The required answers are-

(a) The crew have been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

To learn more about roads:

brainly.com/question/1196760

#SPJ2

Evaluate this function: h(t) = |t+2| + 3; Find h(6)

Answers

Answer:

Step-by-step explanation:

h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11

Prove <5 is supplementary to <6 using theorems.

Answers

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

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]

Pls answer will give brainiest

Answers

Answer:

D. is your answer

Who is the general information of acounting

Answers

Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

Question 8 of 10
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
A. 6.35 units
B. 25.4 units
o
12.7
C. 19.05 units
OD. 12.7 units

Answers

Step-by-step explanation:

the diameter is 2 times the radius.

so,

12.7×2 = 25.4

so, B is right.

Fill in the missing
numbers?
?•(-10) = 90

Answers

Answer:

?=-9

Step-by-step explanation:

A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90

The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?

Answers

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

helpppp pleaseeeee✋​

Answers

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

This is the architectural plan for a fenced-in garden.
The shaded region represents an area for trees.
How long is the fence around the edge of the garden?
(Do not include the edge around the tree region.)

Answers

The fence around the edge of the garden is 17.86 m long.

The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.

Since the radius is 5 units long, its length r = 5 m.

The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)

So, the length of the fence L' = L + r + r

L' = L + 2r

L' = rθ + 2r

L' = r(θ + 2)

Substituting the values of the varaibles into the equation, we have

L' = r(θ + 2)

L' = 5 m(π/2 + 2)

L' = 5 m(1.571 + 2)

L' = 5 m × 3.571

L' = 17.855 m

L' ≅ 17.86 m

So, the fence around the edge of the garden is 17.86 m long.

Learn more about length of a fence here:

https://brainly.com/question/11978566

Please take a look at the picture

Answers

Answer:

B) -3/10 x -6

Step-by-step explanation:

-3/10 x -6=-3 x -6/10

When multiplying two negatives you get a positive.

Hope this helps :)

Simplify.
1) 448
A) 5V3
C) 12V2
B) 8V
D) 10v2

Answers

Answer:

B

Step-by-step explanation:

The square root of 448 rounded up to 6 decimal places is 21.166010. It is the positive solution of the equation x2 = 448. We can express the square root of 448 in its lowest radical form as 8 √7.

Could I get help on this?

Answers

Answer:

returning the collateral

Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?

Answers

Answer:

1/4

Step-by-step explanation:

Solution: as shown in the figure,

2/8 = 1/4

Answer:

3

Step-by-step explanation:

i thing

At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?

Answers

Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

$4.80

If an item is $6.49 for 36 ounces, then it is $

Answers

Answer:

0.18

Step-by-step explanation:

0.18


Do it step by step

Solve equation by applying the distributive property to simplify both sides of the equation if needed

4(w-9)=w+9

Answers

Answer:

w=15

Step-by-step explanation:

4w-36=w+9

3w=45

w=15

Answer:

15

Step-by-step explanation:

The distributive property applies to the expression on the left hand side. It means that the multiplication of 4 is distributed to all the terms in the brackets.

[tex]4(w-9) = w + 9\\4w-36 = w + 9\\4w-w = 9 + 36\\3w = 45\\w = 15[/tex]

What is
[tex] \frac{4}{60} [/tex]
simplified?​

Answers

Answer:

1/15

Step-by-step explanation:

4/60

Divide the top and bottom by 4

4/4 =1

60/4= 15

1/15

HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5

Answers

Answer:

-4, -1, and 5

Step-by-step explanation:

1. The x-intercepts of a function is where the function intersects with the x-axis.

2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).

This means that the x-intercepts are -4, -1, and 5.

PLEASE HELPPP!! I need help with both questions

Answers

9514 1404 393

Answer:

borrow: $21,056.60interest: $1,983.40

Step-by-step explanation:

The relation between the monthly payment (A) and the principal borrowed (P) is ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

where the annual interest rate is r and n is the number of monthly payments.

Then the principal P can be found as ...

  P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount

The sum of payments is ...

  $384 × 60 = $23,040.

The difference between the payments made and the loan principal amount is the interest paid:

  $23,040.00 -21,056.60 = $1,983.40 . . . total interest

What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5

Answers

Answer:

[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]

Step-by-step explanation:

The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]

The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]

Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.


The smaller angle measures =?

The larger angle measures =?

Answers

Answer:

The smaller angle measures = 60º

The larger angle measures = 120º

Step-by-step explanation:

The sum of angles in linear pair is 180

The measure of one angle is twice the measure of the other angle.

x + 2x = 180

Combine like terms

3x = 180

Divide both sides by 3

x = 60º

2x = 120º

-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2

Answers

The answer is -19!

Hope this helps! :)

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

2950 divided by 67 in partial quotints

Answers

Answer:

Math answers to fraction 2950 divided by 67 can be calculated as follows.

2950/67 math problems division = 44.0298507463. Therefore 44.0298507463 to 2 decimal places= 44.03

2950/67 divided by 2 » (2950/67) ÷ 2 » 44.0298507463 ÷ 2 = 22.0149253731 . Check 2950/67 long division below

Step-by-step explanation:

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