How do I solve this. It’s for a study guide so pls help!!

How Do I Solve This. Its For A Study Guide So Pls Help!!

Answers

Answer 1

Answer: C) [tex]x\geq1\frac{1}{2}[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

[tex]4x-7\geq \frac{-12x+14}{4}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]4x-7\geq -3x +\frac{7}{2}[/tex]

Step 2: Add 3x to both sides.

[tex]4x+3x-7\geq -3x+3x +\frac{7}{2}\\7x-7\geq\frac{7}{2}[/tex]

Step 3: Add 7 to both sides.

[tex]7x-7+7\geq\frac{7}{2} +7\\7x\geq\frac{21}{2}[/tex]

Step 4: Multiply both sides by [tex]\frac{1}{7}[/tex].

[tex]7x(\frac{1}{7}) \geq\frac{21}{2} (\frac{1}{7}) \\x\geq\frac{21}{14} \\x\geq 1\frac{1}{2}[/tex]


Related Questions

Find the slope of the line that passes through (3, 6) and (10, 9).

Answers

Answer:

The slope is 3/7.

Step-by-step explanation:

Use the slope formula.

Slope formula:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=6}\\\\\sf{x_2=10}\\\\\sf{x_1=3}[/tex]

Solution: Rewrite it down.

[tex]\sf{\dfrac{9-6}{10-3}=\boxed{\sf{\dfrac{3}{7}}}[/tex]

Therefore, the slope is 3/7, which is the correct answer.

I hope this helps! Let me know if you have any questions.

The record low temp in Fargo, ND is -37*F. The record high is 109*F. What is the difference in the record high and the record low temperatures?

Answers

Answer:

109 - -37 = 146

Step-by-step explanation:

since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.

helpppppppppppp meeeeeeeeeee

Answers

Answer:

3 gallons per 4 minutes

Step-by-step explanation:

two point are given

(4 minutes, 3 gallons) and

(8 minutes, 6 gallons)

The question asks about gallons (there is an increase of 3 gallons)

per minute (there is an increase of 4 minutes)

or .75 gallons per one minute

(NO LINKS PLEASE)

Wanda spun a spinner 30 times, and the results were recorded in the following tally chart.

A tally chart. Striped has 12 tally marks, solid has 9 tally marks, and dotted has 9 tally marks.




Based on the experiment, what is the probability of landing on the solid section of the spinner?

Enter your answer as a fraction, like this: 42/53

Answers

Answer:

3/10

Step-by-step explanation:

12+9+9=30

9 of those are solid

9 out of 30

simplified is 3/10

Answer: 3/10

Step-by-step explanation:

The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rainfall for the lowlands is about 3 mm less than for the highlands. Why is there a difference in the central measures for each data set?

Answers

Answer:

There is a difference because in the spring, there may be more days of rain, therefore that would increase the mean for the spring compared to the other days.

Step-by-step explanation:

Answer:

There is a difference since there could be more rainy days in the spring than on other days. As a result, the mean for the spring would be higher than on other days.

Step-by-step explanation:

Hope this helps!

Have a great day!

Calculate the perimeter of the shape below

Answers

Answer:  The answer is C ≈ 18.85 meters.

Step-by-step explanation: The formula that you need is...

2 × π (pi or approximately 3.14) × r (which is the radius)

In this case, your radius is 3, so you solve by 2 × π (pi or approximately 3.14) × 3 which equals 18.8495559215 but you round to your nearest hundredth which gets you to have 18.85 meters as your answer! I hope this helps!

given:

radius= 3 m

to find:

the perimeter of the circle.

solution:

[tex]perimeter = 2\pi \: r[/tex]

[tex]p = 2 \times \pi \times 3[/tex]

[tex]p = 18.84956[/tex]

[tex]p = 18.95[/tex]

A girl is 27 years younger than her mother. Her mother is m years old. The product of their ages is 324. How old is each person?

Answers

The girl is 55 and the boy is 33

I want help to solve question

Answers

Answer:

Step-by-step explanation:

When we add the area of semicircle I and III  of same radius, we get a cirlce.

diameter = 48 cm

r = 48/2 = 24 cm

Area of I and III = area of circle

                         = πr²

                         = 3.14 * 24 *24

                         = 1808.6 cm²

Figure II:

length =  diameter of the bigger semicircle = 48 cm

width = diameter of the smaller circle = 14 cm

Area of rectangle (figure II) = length *width

                                            = 48 * 14

                                            = 672 cm²

Smaller semicircle A & B

diameter = 14 cm

r = 14/2 = 7 cm

Area of Semicircle A & B = Area of a circle

                                         [tex]\sf = \dfrac{22}{7}*7*7\\\\ = 22*7\\\\= 154 \ cm^{2}[/tex]

Area of shaded region =  area of rectangle II + area of figure I & III - area of A &B

            = 672 + 1808.6   - 154

           =  2326.6cm²



Calculate the volume of each of the following prisms.
1)
length = 35
width = 14
height = 24
2)
length = 27
width = 14
height = 21
3)
length = 21
width = 21
Height = 21



Answers

Answer:

1) 11760

2) 7938

3) 9261

Step-by-step explanation:

hope this helps

write an equation for the cubic polynomial function whose graphs has zeros at 2, 3, and 5

Answers

Step-by-step explanation:

this is essentially

(x-2)(x-3)(x-5) = 0

now to find the cubic function we just expand.

the answer:

x^3 - 10x^2 +31x - 30

Calculate the circumstances of the shape below

Answers

Answer:

[tex]c = 2\pi r \ \\ 2 \times \pi \times 3 \\ = 6\pi[/tex]

Diameter = 5 yards find the area of the circle in square feet

Answers

Answer:

6.25π or 19.625

Step-by-step explanation:

Diameter=2r

Area=πr^2

We need to find the radius (5/2=2.5)

Plug in 2.5 for the area forumla= π2.5^2

Solve = 6.25π

How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x

Answers

Step-by-step explanation:

Given: 3x - 6 + 4b+ 5 + 7 -2x

x - 6 + 4b + 12

x +6 + 4b

I need help with this question, please.

Answers

Wheel Diameter = Wheel 3 x Radius

10 cm / 3 = 3.3 = 3 cm

for one rotation of a wheel the distance travelled = circumfrence of the wheel

can anyone help me with this I don't know the answer?

Answers

Answer: 48

Explanation: 5 x 2 = 10 x 2 = 20
9-5= 4 x 7 = 28 +20 =48
the answer should be 48ft

Your monthly income is $5000. After paying bills, you have spent 70% of this months income. How much did you spend on the bills? 1. $4070 2. $4200 3. $2800 4. $3500​

Answers

Answer:

4. $3500​

Step-by-step explanation:

Because 70% of 5000 = 3500

Hope This Helps

Bob, an employee at Kohl’s, gets a 30% discount on anything at the store. If he buys a pair of pants that are originally $45.87, how much will they cost with his discount?

Answers

(45.87)(1-0.3) = 32.109
This rounds to $32.11

If r= 3 cm, p = 2.4 cm, q = 1.8 cm, and m= 4.35 cm, what is the measure of n?

Answers

Answer:

C

Step-by-step explanation:

given the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{LM}{PR}[/tex] = [tex]\frac{LN}{PQ}[/tex] ( substitute values )

[tex]\frac{n}{1.8}[/tex] = [tex]\frac{4.35}{3}[/tex] ( cross- m ultiply )

3n = 7.83 ( divide both sides by 3 )

n = 2.61 cm

URGENT!! Please help!! I will mark brainliest!

Answers

Step-by-step explanation:

I think they are all in order already

A bicycle manufacturer is studying the reliability of one of its models. the study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent. if the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect? 1.5 percent 2 percent 2.5 percent 3 percent

Answers

Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

What is a Venn probability?

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)[/tex]

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

The study finds that the probability of a brake defect is 4 percent, P(A) = 0.04.

The probability of both a brake defect and a chain defect is 1 percent, P(A∩B) = 0.01.

The probability of a defect with the brakes or the chain is 6 percent, P(A∪B) = 0.06.

Substitute all the values in the formula

[tex]\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03[/tex]

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

You can learn more about Venn probabilities at brainly.com/question/25698611

Answer:

D

Step-by-step explanation:

2. Barry has a cell phone plan that charges him a monthly fee for unlimited minutes for talking, but charges a small
fee for each text message he sends. The graph shows the monthly cost for the phone based on how many text
messages he sends.
42.5
40
37.5
Cost per Month ($)
35
32.5
30
SI
ASE
27.5
40
50
60
70
80
90
100
za babu asd ng boto to
0 10 20 30
Text Messages Sent
What does the y-intercept of this graph represent?
02.0
A. The cost for the cell phone plan with 100 text messages sent.
B. The monthly fee for the cell phone plan.
C. The cost for each text message.
D. The total cost each month.
That is the value for the v-intercent2

Answers

The y-intercept of this graph considering the cell phone plan of Barry represent D. The total cost each month.

What is the y-intercept?

It should be noted that a y-intercept simply means where the line intersects the y axis.

The y-intercept of this graph considering the cell phone plan of Barry represent the total cost each month. This can be illustrated by y = mx + b.

Learn more about intercept on:

https://brainly.com/question/15558882

What is the perimeter of a 5 by 12 triangale

Answers

Answer:

30 units

Step-by-step explanation:

IF it is a right triangle AND these are the LEGS then the hypotenuse = 13

5+12 + 13 = 30

Find the lowest common denominator for these fractions and then subtract and simplify.

4/9 and 1/3

1/9
2/9
3/9

Answers

Answer:

1/9

Step-by-step explanation:

PLEASE HELP ME OUT 39 POINTS

Answers

Answer:

Option A for part (a) and Option B for part (b)

Step-by-step explanation:

Step 1:  Determine the ratios in part a

First Batch --> 8 minutes / 2 customers = 4 minutes per customer

Second Batch --> 18 minutes / 6 customers = 3 minutes per customer

Third Batch --> 21 minutes / 7 customers = 3 minutes per customer

In part (a) we would choose option a which is that it does not always take the same amount of time to serve each customer.

Step 2:  Determine the ratios in part b

First Batch --> 27 points / 3 dollars = 9 points per dollar

Second Batch --> 45 points / 5 dollars = 9 points per dollar

Third Batch --> 63 points / 7 dollars = 9 points per dollar

In part(b) would choose option b which is that each dollar spent appears to earn the same number of points which would give us 8 dollars for 72 points.

Answer: Option A for part (a) and Option B for part (b)

1. Find the slope
(1 point)

2
-1/2
-2
1/2

Answers

Answer:

-2

Step-by-step explanation:

you look at the y axis and that is where you start it goes 2 down and 1 to the right

Answer:

C. -2

Step-by-step explanation:

Using the two points on the graph, apply the slope formula.

(y₂ - y₁)/(x₂ - x₁)

The points given are (-3, 3) and (1, -5).

(-5 - 3)/(1 - (-3))

Simplify.

-8/4

Divide.

-2.

20 cm
16 cm
10 cm
12 cm
V=
help quick please

Answers

Answer:

960 cm^3

Step-by-step explanation:

The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:

(16x12)/2 = 96

The height is 10, so Volume is 96 x 10 = 960 cm^3

SOMEONE HELPPPP!
What is the volume of this oblique cone?
o 288TT cm
o 324T1 cm
o 14417 cm
o 432TT cm

Answers

Answer:

432 pi  cm^3

Step-by-step explanation:

volume = 1/3  pi * r^2 h

               = 1/3 pi (81)(16) = 432 pi  cm^3

Write an equation of a line that passes through the point (4.2) and is perpendicular to the line y=1/5x -3.

Answers

Answer:

y=-5x+22

Step-by-step explanation:

Which of the following has the greatest sum?
A. 1.57 + 0.23
B. 1.09 + 0.76
C. 0.98 + 0.89
D. 1.18 + 0.68

Answers

Answer:

C

Step-by-step explanation:

A - 1.57 + 0.23 = 1.80

B- 1.09 + 0.76 = 1.85

C- 0.98 + 0.89 = 1.87

D - 1.18 + 0.68 = 1.86

C has the greater sum

Which expression is equivalent to the expression (1/2) to the power of 3
A 3x1/2
B 1/2+1/2+1/2
C 1/2x1/2x1/2
D3+1/2

Answers

C,
1/2^3 is equal to 1/2 x 1/2 x 1/2
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