Solve 17 < 5x – 8 < 22. How many integer solutions are there?

Answers

Answer 1

Answer:

0

Step-by-step explanation:

To find the number of integer solutions there are to the inequality, we need to  separate [tex]x[/tex] so it is on its own.

[tex]17<5x-8 < 22[/tex] (given inequality)

[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )

[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )

Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].

Hope this helps :)


Related Questions

If triangle ABD is similar to Triangle EFG, find BC and FH
A BC= 9, FH=6
B. BC= 12, FH=9
C. BC =15. FH =12
D. BC=16, FH =13

Answers

Answer:

B. BC=12, FH=9

Step-by-step explanation:

I guessed and it was right

Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?

Answers

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125

If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat​

Answers

Step-by-step explanation:

vat %=13%

vat=143

vat = vat% of sp (i.e sp without vat)

143 = 13/ 100 of sp

143*100=13sp

14300/13 = sp

sp=4766.67

therefore the cost of bag without vat is rs.4766.67

len won a gift card for 100 cups of tea

Answers

Answer:

what is the question?

Step-by-step explanation:

Answer: nice going Len

Step-by-step explanation:

What's he gonna do with all the tea

Solve for t in the equation

Answers

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

Please Help!!!!!!!!!!!!!!!!!

Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches. How many square inches of wood does Carlo need to build the box?

Answers

Answer:

Area of wood required = 96 in²

Step-by-step explanation:

Since volume of a cube = Length × Width × Height

64 = (Side)³

Side = 4 inch

Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube

= 6(Area of one side of the box)

= 6(Side)²

= 6(4)²

= 96 inch²

Therefore, 96 square inches of wood will be required to build the wooden box.

Answer:

Step-by-step explanation:

1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.

2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .

3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.

4. Carlos needs 96 square inches of wood to build his box.

Jennifer is buying a new dress for the school dance. The dress is marked 34.50$ and there is a sales tax of 6 1/2% what is the tax that jennifer must pay

Answers

100%=$34,50
1%=0,345
6,5*0,345=$2,2425

Divide. Write your answer as a fraction or mixed number in simplest form.

10 • 3 3/4

Answers

Answer:

37 1/2

Step-by-step explanation:

before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.

The required solution to the given expression is 37 1/2 in mixed number form.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine the evaluation of expression 10 ÷ 3 3/4

When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.

Thus, the required solution to the given expression is 37 1/2 in mixed number form.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

George records the number of questions he has answered on DFM per day over 14 days, and puts the data in the bar chart below.

Find the total number of questions.

Answers

Answer:

18 is the total number of questions George answered in 14 days.

Step-by-step explanation:

The given chart:

The x-axis is showing the total number of questions George answered The y-axis is showing the frequency of days on which George answered the questions.

The given chart is showing that:

George answered the 5 questions on the first 4 days;George answered the next 6 questions on the next 5 days;George answered the next 7 questions on the last 5 days';

Hence, the total questions he answered will be:

5 + 6 + 7 = 18

Therefore, 18 is the total number of questions George answered in 14 days.

what is the equation of the line in slope intercept form

Answers

Answer:

y=-5x

Step-by-step explanation:

Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=

Answers

Multiply the expressions.
90
x
3

129
x
2
+
13
x
+
22

Uh yes I’m sorry I am just trying to get answers

The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How much money is spent on students each year? Write your answer in scientific notation first.

Answers

Answer:

10700 to the 7 power ould be your answer

Step-by-step explanation:

10700

Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read

Answers

Answer:

Step-by-step explanation:

On Monday, Nora read ¼ of the book, therefore she is left with ¾ of the original book.

Then on Tuesday, she read 2/5 of what was left on Monday therefore she is left with 3/5 of ¾ of the original book. This is equal to:

(3/5) (3/4) = 9/20

She still needs to read 9/20 of the book or 0.45 or 45% of the book.

What is the equation of this graphed line?
Enter your answer in slope-intercept form.


Please answer quickly, I will give brainliest to whoever answers correctly, thank you.

Answers

Answer:

y = -9/8x + 7

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

Points given:

(0, 7) and (8, -2)

y-intercept is

b = 7 as per the first point

And the slope is:

m = (-2 - 7)/(8 - 0) = -9/8

So the line is:

y = -9/8x + 7

Answer:

Required Answer:-

points are

(0,7)(8,-2)

slope =m

[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]

y intercept:-

7

Hence the equation is

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]

Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?

Answers

Answer:

Step-by-step explanation:

Let's do an example.

60:90:100

100 plus 90 plus 60 is 250

ben gets 90 of that 250

or 9/25.

2(2-x) =4(-2+x)
What’s the answer?
(With work please)

Answers

Answer: x=2

Step-by-step explanation: Step 1: Simplify both sides of the equation.

2(2−x)=4(−2+x)

(2)(2)+(2)(−x)=(4)(−2)+(4)(x)(Distribute)

4+−2x=−8+4x

−2x+4=4x−8

Step 2: Subtract 4x from both sides.

−2x+4−4x=4x−8−4x

−6x+4=−8

Step 3: Subtract 4 from both sides.

−6x+4−4=−8−4

−6x=−12

Step 4: Divide both sides by -6.

−6x

−6

=

−12

−6

x=2

Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?

Answers

Answer:

The E came before H

Step-by-step explanation:

You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost

Answers

Answer:

0.45 cents

Step-by-step explanation:

We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.

2.70 ÷ 6 = 0.45

Therefore each pencil costs $0.45

I hope this helps, have a great day! :)

Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️

Answers

Always happy to help!! Thank you so much- I hope you have an amazing rest of your night and an amazing rest of your break!

Keesha will mow grass for $8 per hour write in standard form

Answers

Answer: y = 8x

Step-by-step explanation:

Eighteen subtracted from half of a number (In an algebraic expression)

Answers

Answer:

1/2x-18

Step-by-step explanation:

18 subtracted from half of a number

We assume that the "number" is x

so 1/2x is the half of a number

We now need to have 18 subtracted from that so 1/2x-18

andy has 901 cards for a big game if he gives away 789 how much does he have left

Answers

Answer:

the answer is 112

Step-by-step explanation:

901-789=112

rohit has two pieces of ribbon pices one 20cm long and other 65 cm long .he wants to cut them into smaller pices of equal length for craft project in such a way thaty no ribbon is left.


Answers

U must never chase the man

HELP MEEEEEE
The following graph shows a bus's record of the number of passengers it picked up over the course of a day.
Bus Passengers by Hour
75
75
70
65
62
58
55
Passengers
50
45
43
40
41
36
37
31
28
Time
How many people rode the bus over the course of the day?
7:00 am
8:00 a.m.
9:00 am
10:00 am
11:00 a.m.
12:00 pm
1:00p.m.
2:00 p.m.
3:00 p.m.
4:00 p.m.
5:00 p.m.
6:00 p.m.

Answers

Answer:

40+62+58+43+36+55+41+28+31+37+75+64= 570 people

Step-by-step explanation:

If you add all the no.of people who rode the bus, you will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day and as you said, the graph given above is number of passengers who rode bus throughout the day. Also, do not look at the time given, it is useless according to the question.

I hope it helps.

There are 570 people rode the bus over the course of the day.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

From the values on the graph which is presented in the table above, the number of people who rode the bus during the 12.00 hour is 55.

If we add all the no.of people who rode the bus, tjen we will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day

Since the graph given above is number of passengers who rode bus throughout the day.

Therefore, we have;

40+62+58+43+36+55+41+28+31+37+75+64= 570 people

Learn more about the addition here;

https://brainly.com/question/16365911

#SPJ7

Mario tracks his heart rate after throwing warm-up pitches before a game. In 1/4 minutes, Mario's heart beats 28 times

Answers

Answer:112

Step-by-step explanation: 1/4 divided by 28/1 = 1/112

Answer:

112 and very light

Step-by-step explanation:

2x 1/2 x3 2/3 im goin to be need a lot of helpppp

Answers

Answer:

3.66666666667

or

3.67(rounded to the nearest tenth)

Step-by-step explanation:

2x 1/2 x3 2/3 = 3.66666666667

Ace Carlos

Developer

Answer:

=3 2/3

Step-by-step explanation:

2 x 1/2 x 3 2/3

2 x 1/2 = 2/2 = 1

1 x 3 2/3

=3 2/3

Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?

Answers

Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

870.497 ÷ 0.823=?
round your answer to the nearest whole number

Answers

Answer:

870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1

Step-by-step explanation:

cause 0-4 numbers are rounded down

The answer is:

1057.712 which is the closest number would be 1058


Explanation:
1. You have to convert the decimal into a fraction by dividing it by 1000

2. To divide be a fraction, multiply by the reciprocal of that fraction. You going to flip the the second term which it’ll be 1000/823

3. Then you going to cross the 1000 because it’s the greatest common factor. It’s gonna be (870497x 1/823)

4. Lastly, you going to calculate that equation and it’s gonna be ( 870497/823)



Hope I could explain good. I’m a bad explainer

Help me pleaseeeeeeeeeeee

Answers

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (1, 6)

m = [tex]\frac{6-2}{1+4}[/tex] = [tex]\frac{4}{5}[/tex]

............ help lost of points available

Answers

Answer:

c

Step-by-step explanation:

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