Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.

Answers

Answer 1

Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:


Related Questions

Four times the smallest of three consecutive integers is three more than three times the largest. What is the middle integer?

Answers

Let, first integer is x.

Therefore, other two are x+1 , x+2 .

Now, mathematical expression of given conditions is :

4x + 3 = 3(x+2)

4x + 3 = 3x + 6

x = 3.

So, the consecutive numbers are 3 , 4 and 5.

Therefore, the middle integer is 4.

Hence, this is the required solution.

0.7+y=−1.34 please and thank you

Answers

Answer:

0.64

Step-by-step explanation:

1) Subtract 0.7 from 1.34 and you will get 0.64

Hope this helps!


Which equation represents a function? Select all that apply.

Answers

Y=x^2-3 is the answer

Find the measure of A
Options
-14
63
96
44
I need help ASAP

Answers

Answer:

Step-by-step explanation:because all angles in a triangle add up to 180° 100°+30°=130° 180°-130°=50°

Please help me. One prepaid cell phone company charges $0.027 per minute and a $2 monthly fee. Another company charges $0.031 per minute with no monthly fee. For what number of minutes per month are the charges for the first company cheaper? Please explain to me

Answers

Answer: >500

Step-by-step explanation:

Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6

Answers

Answer:

x = 2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Please answer this as soon as you can : Evaluate 5/18 + 5/6

Answers

The answer to the question is 20/18.

Answer:

1 1/9

Step-by-step explanation:

5/18 + 5/6

Get a common denominator of 18

5/18 + 5/6 *3/3

5/18 + 15/18

20/18

18/18 + 2/18

1 1/9

What is 5 2/8- 3 1/16= ?​

Answers

Answer:

2 and 3/16

Step-by-step explanation:

2/8-1/16 is 3/16

5-3=2

Answer:

35/16 2.1875

Subtract.

5 2/8- 3 1/16 = 2.1875 (35/16 as fraction)

That is the answer.

screen shot below evaluating functions please help

Answers

Answer: I believe the answer is 5.

Step-by-step explanation:

f(1) = -(-1)^2 -4(-1)

f(1) = 1^2 + 4

f(1) = 1 + 4

f(1) = 5

Hope this helps!

answer this equation-3x+2<8

Answers

Answer:

x > -2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8-2

-3x<6

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 6/-3

x > -2

Hey there!☺

[tex]Answer:\boxed{x>-2}[/tex]

[tex]Explanation:[/tex]

[tex]-3x+2<8[/tex]

Let's subtract 2 from both sides of the inequality.

[tex]-3x+2-2<8-2\\-3x<6[/tex]

Now divide both sides by -3.

[tex]\frac{-3x}{-3}<\frac{6}{-3}[/tex]

Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.

[tex]6/-3=-2[/tex]

[tex]x>-2[/tex]

Hope this helps!

According to a newspaper report, A 63 year old man has rowed around the world without leaving his living room. He clocked up 24084 miles on a rowing machine that he recieved for his 50th birthday. Roughly how many miles per year has he rowed since he was given the machine?

A) 200
B) 500
C) 1000
D) 2000
E) 4000

(can i get it with the full working out please)​

Answers

So he has had the machine for 13 yrs
24084/13 is roughly 2000 so I would say D

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.

The number of miles per year is calculated as,

⇒ 24,084 / (63 - 50)

⇒ 24,084 / 13

⇒  1852.61 ≈ 2,000

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Jasmine spends exactly £120 on three types of plants: poisoned ivy, deadly nightshade and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each and triffids cost £12 each. She buys twenty plants in total, including at least one of each type. How many triffids did she buy?

Answers

Answer:

9/5

Step-by-step explanation:

2×9×12=216 so216/120 =9/5

Jasmine bought approximately 4 triffids.

We have,

We know that Jasmine bought a total of twenty plants and that she purchased at least one of each type.

Let's assume she bought x triffids.

From the given information, we can determine the number of poison ivy plants and deadly nightshade plants she bought:

Number of poisoned ivy plants = Total plants - (Number of deadly nightshade plants + Number of triffids)

Number of poisoned ivy plants = 20 - (1 + x) = 19 - x

Number of deadly nightshade plants = Total plants - (Number of poisoned ivy plants + Number of triffids)

Number of deadly nightshade plants = 20 - (1 + (19 - x)) = 20 - (20 - x) = x

We can now set up an equation based on the total amount Jasmine spent:

Total cost = (Number of poisoned ivy plants * Cost per poisoned ivy plant) + (Number of deadly nightshade plants * Cost per deadly nightshade plant) + (Number of triffids * Cost per triffid)

£120 = (19 - x) * £2 + x * £9 + x * £12

Simplifying the equation:

£120 = £38 - £2x + £9x + £12x

£120 = £38 + £19x

£82 = £19x

Dividing both sides of the equation by £19:

£82/£19 = x

x ≈ 4.32

Since we can't have a fractional number of plants, we'll round down to the nearest whole number.

Therefore,

Jasmine bought approximately 4 triffids.

Learn more about expressions here:

https://brainly.com/question/3118662

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The complete question:

Jasmine spent a total of £120 on buying three types of plants: poisoned ivy, deadly nightshade, and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each, and triffids cost £12 each. She bought a total of twenty plants, ensuring that she purchased at least one of each type.

How many triffids did Jasmine buy?

which set of angles shares rayAF as a common side?

Answers

BAF and FAD I took the test !

solve the literal equation for x
t=10+7x-qx​

Answers

Answer:

Step-by-step explanation:

7x - qx + 10 = t

7x - qx = t - 10

x(7 - q) = t - 10

x = (t - 10)/(7 - q)

n-2÷7=2 ANSWER IT 50 POINTS

Answers

Answer:

5.5

Step-by-step explanation:

n-2÷7=2

n-3.5=2

n=2+3.5

n=5.5

Answer:

n = 16  ≅ 2.29

     7

Step-by-step explanation:

n - 2 ÷ 7 = 2

n - 2 = 14

n = 14 + 2

      7      7

n = 16

     7

A jar contains 7 blue marbles, 3 red marbles, and 3 green marbles. You pick one marble without looking. What is the probability that the marble will be red? Answer as a fraction in the simplest form.

Answers

Answer:

7/13

Step-by-step explanation:

there are 13 marbles altogether and there is blue marbles the most

Can somebody help me wit this

Answers

........??.??.?.?.?.?.?..??.?.?.?.?.?.

If the area of triangle is 1200 sq m and its length is 60 m , find the breadth .

Answers

Answer:

20 m

Step-by-step explanation:

The area of a triangle is 120 sq m

The length is 60 m

We are required to find the breadth

Therefore to find the breadth of the traingle the formular below will be applied

Area= length × breadth

120= 60 × breadth

Breadth= 120/60

= 20 m

Hence the breadth of the traingle is 20 m

The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.

Answers

Answer:

  The train is not moving

Step-by-step explanation:

The graph does not show the train's motion. It shows the train's position, which is constant. ("Distance" is not a measure of motion. It is a measure of position.)

If the train's position is constant, it is not moving.

what examine the rotation. which best describes point D​

Answers

Answer:

center of rotation

Step-by-step explanation:

In a social club, the ratio of men to women is 5: 7. There are 595 women. How
many men are there?

Answers

Answer:

52

you take 5 ÷ it by 7 the ×it by 595

A ratio is an ordered pair of numbers a and b written as a/b where b is not equal to zero.

if the number of women in the social club is 595 then the number of men in the social club is 425.

What are ratios and proportions?

A ratio is an ordered pair of numbers a and b written  as:

a / b where b does not equal 0.

A proportion is an equation in which two ratios are equal to each other.

We have,

The ratio of men to women:

= 5:7

= 5/7

Let,

The number of men = 5x

The number of women = 7x

Now,

If the number of women = 595

We have,

7x = 595

Multiplying both sides by 5/7 we get,

5/7 x (7x) = 5/7 x 595

5x = 5/7 x 595

5x = 5 x 85

5x = 425

This means if there are 435 men in the social club if the number of women is 595.

Thus if the number of women in the social club is 595 then the number of men in the social club is 425.

Learn more about ratios and proportions here:

https://brainly.com/question/2462048

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Find the sum (9r2+4r-7)+(3r2-3r)

Answers

The sum would be 25r-7

Answer:

12r^2 +r-7

Step-by-step explanation:

(D2+6d+9)+(d3-6d+9) ​

Answers

You can’t add d2 or d3 so ignore it for now u will subtract -6d from +6d to get 0 then add 9+9
Answer:
d3+ d2 + 18

D3 has to be in front because it has a larger exponent

What is the solution to -3m = -15

Answers

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

[tex]-3m=-15[/tex]

Divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{-15}{-3}[/tex]

[tex]m=5[/tex]

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

Solve for [tex]m[/tex] :

[tex]-3m = -15[/tex]

-Take [tex]-3m[/tex] and divide it on both sides of the equation:

[tex]\frac{-3m}{-3} = \frac{-15}{-3}[/tex]

[tex]m = 5[/tex]

Therefore, the value of [tex]m[/tex] is [tex]5[/tex].

Simplify : 15y - 10 + y(2 + 9) -8

Answers

Answer:

Simplified expression is 26y - 18

Step-by-step explanation:

15y - 10 + y(2 + 9) - 8

15y - 10 + 2y + 9y - 8

26y - 18

the answer is 4y+8 i hope this helped!

Jorge asked 15 of his classmates how many different states they lived in. The results are shown in the the dot plot.

Answers

Using the dot plot, it is found that the correct option is:

Four out of 5 students have lived in only 1 or 2 states.

What is a dot plot?The dot plot shows the number of times each measure appears in the data-set.

Hence:

7 classmates have lived in one different state.5 classmates have lived in two different states.2 classmates have lived in three different states.1 classmate has lived in five different states.

That is, 12 out of 15, that is, four out of five students have lived in either 1 or 2 different states, hence the third option is correct.

To learn more about dot plot, you can take a look at https://brainly.com/question/24912483

what do I do this is my lat question and I forgot how to do this

Answers

Multiple the number outside the (*) by both numbers within and then solve for each side.
Perimeter is all the sides added up together, so we would set this up like this:

P = (x) + 2(x+5) + 6(x-1) + 3(x+2)

You should know how to solve it from there, but this is the answer, hope it helped!

What is the value of 7,549,236

Answers

Answer:

yo mama

Step-by-step explanation:

Please help :)
Name the intersection of the two planes in the image below.

Answers

Answer:

↔ ORK

Step-by-step explanation:

The intersection of the two planes is the line

Line ORK

↔ ORK


Davis saved $1000 and then found a savings account that will give him 10% interest per year.
Represent the money in his account after n years.
1) Arithmetic or Geometric:
2) Common difference/ratio:
3) Recursive Formula:
4) Explicit Formula:

Answers

Answer:

1000x0.1=n

Step-by-step explanation:

first year he had 1000

second year they times the 1000 by .1 because thats ten percent

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