Yesterday, grace drove 33 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Answers

Answer 1

Answer:

30 4/5 or 30.8

Step-by-step explanation:


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Question 2 (1 point) Cynthia uses the chart below to find the cost of shipping a package. Write an expression that Cynthia can use to find the cost for a package that weighs w pounds? Shipping Cost Weight (in pounds) Cost (in dollars) 1 6.50 2 13.00 3 19.50 6.50 6.50 w W + 6.50 6.50 - W​

Answers

Answer:

6.50w

Step-by-step explanation:

Given that :

Weight ________ Cost ($)

1 ______________6.50

2 _____________ 13.00

3 _____________ 19.50

Cost of package that weighs w pounds

If one pound = 6.50

2 pounds = 13.0

Then, the cost per pound = $6.50

Hence, cost of package that weighs w pounds will be ;

$6.50 * w = $6.50w

Layla opened a savings account and deposited 700.00 as principal the account earns 8%interest compounded annually what is the balance after 6 years​

Answers

Answer:

The balance after 6 years is $1110.812026

Step-by-step explanation:

The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where

A is the new amountP is the initial amountr is the interest rate in decimaln is the number of periodst is the time in years

∵ Layla opened a savings account and deposited $700.00 as principal.

P = 700

∵ The account earns 8% interest compounded annually

r = 8% = 8 ÷ 100 = 0.08

n = 1 ⇒ compounded annually

∵ The time is 6 years

t = 6

→ Substitute these values in the rule above

∵ A = 700[tex](1+\frac{0.08}{1})^{1(6)}[/tex]

∴ A = 700[tex](1.08)^{6}[/tex]

A = 1110.812026

The balance after 6 years is $1110.812026

Solve for
9.2 +4 = 103

Answers

First move +4 to the other side remembering to change the sign:

9x = 103 - 4

Do the subtraction:

9x = 99

Divide both sides by 9:

x = 11

Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?

Answers

Answer:

The largest number of bundles he could create without any left over is 5.

Each bundle to contain 4 pencils, 16 pens and 11 markers

Step-by-step explanation:

Pencils = 20

Pens = 80

Markers = 55

a) What is the largest number of bundles he could create without any left over?

Find the highest common multiple of 20, 80 and 55

20 = 1, 2, 4, 5, 10, 20

80 = 1, 2, 4, 5, 8, 10, 16, 20......

55 = 1, 5, 11, 55

The highest common multiple of 20, 80 and 50 is 5

Pencils = 20 / 5

= 4

Pens = 80 / 5

= 16

Markers = 55 / 5

= 11

The largest number of bundles he could create without any left over is 5.

Each bundle to contain 4 pencils, 16 pens and 11 markers

Noel’s brother is 3 times as old as Noel. The sum of their ages is less than 20. What’s the oldest age that Noel could be?


Identify:


Strategize:


Set up:


Solve:


Check




please help meeee!!!!

Answers

The oldest age noel can be is 10 because
you set up the equation let’s say noels brother is x so x=3n and the other equation x+n<20 so then you replace x with 3n since there equal to each other so u have 3n+n<20 the you subtract n and 3n by n to eliminate the variable and u end up with 2n<20 and you divide both sides by 2 to get the variable by its self and then you get n<10

Answer:

The oldest Noel can be is 6

Step-by-step explanation:

6x3=18

18<20

Noel: 6

Noels' brother: 18

mathamatics 30 points last question for the day

Answers

Answer: 15,048

Step-by-step explanation:

The answer is 15,048 hope it helps

Two players sangeta and reshma play a tennis match . It is known that the probability of sangeeta winning the match is 0.62 what is the probability of reshma winning the match ?

Answers

Answer:

0.38%

Step-by-step explanation:

since if u take 1 whole - by 0.62 it equals = 0.38%

Plz mark as brainliest :)

enter your answer and show all the steps that you use to solve this problem in the space provided. −→ g i bisects ∠ d g h so that m ∠ d g i is x − 3 and m ∠ i g h is 2 x − 13 . find the value of x.

Answers

So the value of x is 10

Given that line GI bisects angle DGH so that the measurement of angle DGI is x-3 and the measurement of angle IGH is 2x-13.

Since GI bisects that means the angle is cut into 2 equal angles or

DGI = IGH

Bisect means to cut into two even halves. If you bisect a 90 degree angle you create two 45 degree angles,

So by bisection

x - 3 = 2x - 13

Solving for x

13 - 3 = 2x - x

10 = x

or

x = 10

Therefore the value of x is 10.

Learn more about bisection on brainly.com/question/17445304

20882

Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes. After about how many hours does the company break even? Note: The phrase break even refers to the value where the two functions are equivalent.

Answers

Answer:

5 hours

Step-by-step explanation:

Given

[tex]y = 420 + 72x[/tex] --- Revenue

[tex]y = 24x^2 + 180[/tex] --- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

[tex]24x^2 + 180 = 420 + 72x[/tex]

Collect Like Terms

[tex]24x^2 - 72x + 180 - 420 = 0[/tex]

[tex]24x^2 - 72x -240 = 0[/tex]

Divide through 24

[tex]x^2 - 3x - 10 = 0[/tex]

Expand:

[tex]x^2 -5x + 2x -10 = 0[/tex]

Factorize:

[tex]x(x -5) + 2(x -5) = 0[/tex]

[tex](x + 2)(x -5) = 0[/tex]

[tex]x + 2 = 0\ or\ x - 5 = 0[/tex]

[tex]x = -2\ or\ x = 5[/tex]

But x can't be negative because it represents time.

So, x = 5 hours

what is [tex]\frac{x}{3} +10=x+2[/tex]

Answers

For this equation X=12 is the answer

[tex]\frac{x}{3}+10=x+2[/tex]

Multiply whole equation by 3 to get ride of the denominator.

[tex]\frac{x}{3}(3)+10(3)=x(3)+2(3)\\x+30=3x+6[/tex]

[tex]30-6=3x-x[/tex]

Move x to the another side and subtract as 6 to another side and subtract.

[tex]24=2x[/tex]

Then we move 2 to divide 24.

[tex]\frac{24}{2}=x\\x=12[/tex]

Therefore, the answer is x = 12.

When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.

Answers

Answer:

8700kg

Step-by-step explanation:

lorry + bricks = 11600kg

bricks = 3(mass of empty lorry)

lorry mass is x

there for bricks = 3x

x+3x = 11600

4x =11600

x= 2900kg

mass of bricks = 3(2900)

=8700kg

Steve solved the equation 8(2x + 7) = 6(x - 7) - 2 as shown below.

Unfortunately, Steve did make an error.
Which step shows Steve's error?
Type in your answer as just the number, i.e. 5
Them show the correct steps for solving this problem. Show your work.

Answers

The value of x is -10. Steve made mistake in step 3 while transposing constant term and simplify.

The given equation is 8(2x + 7) = 6(x - 7) - 2.

What is an equation?

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

The given equation can be solved as follows:

8(2x + 7) = 6(x - 7) - 2

⇒ 16x+56 = 6x-42-2

⇒ 16x+56 = 6x-44

⇒ 16x-6x = -44-56

⇒ 10x = -100

⇒ x = -10

Therefore, the value of x is -10. Steve made mistake in step 3 while transposing constant term and simplify.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

I need help again! :)

Answers

Answer:

Fraction: x= 4/5

Decimal: x= 0.8

Help:)) please!! Thank you

Answers

Answer:

10

Step-by-step explanation:

For every 4 you get 20. So that is 1 to 5.

So if you have 2 to ? It would be 2 times 5 or 10.

Does this make sense?

find the lowest common denominator and solve
21 1/3 - 14 1/5​

Answers

Answer:

107/15

Step-by-step explanation:

21 1/3 = 64/3

14 1/5 = 71/5

64/3 - 71/5

lowest common denominator is 15

= 5(64/3) - 3(71/5)

= 320/15 - 213/15

= 107/15

HELP HELLLLLLLLLLLLLLLLLLP URGENT FASSSSSST

Answers

Answer:

I do not know

Step-by-step explanation:

Please help! I’ll return you with a brainlist and 5 stars.

Answers

Answer:

Step-by-step explanation:

It is 6.5 cause if you use the mathematical rule of perimeter

Answer:

9.375

Step-by-step explanation:

26% of a value is £65 work out the original value

Answers

Answer: 250

Step by step explanation:

We know that 0.26 or 26% of a number (say x) is 65
x • 0.26 = 65
So as you multiply 0.26 by the number to find out what x is divide both sides by 0.26 So
x = 65/0.26= £250

Answer:

£250

Step-by-step explanation:

65 divided by 26 and multiplied by 100

A Student bought concert tickets online. The total cost, c, in dollars of t tickets can be found by using the function below
c=12.45t+7.20
If the student spent a total of $57 on tickets, how many tickets did they buy?

Answers

Answer:

4

Step-by-step explanation

57-7.20=49.8, 49.8/12.45 = 4

Answer: 4

Step-by-step explanation:

c= 12.45t +7.20

57 = 12.45t +7.20

Solve for t

57 -7.20 = 12.45t

49.8 =12.45t

49.8 / 12.45 = t

t = 4

I don't know how to find the slope of the line​

Answers

I think it’s d but I’m not sure

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x)=log⁡(x) to achieve the graph of g(x)=log⁡(−3x+9)+4.​

Answers

Answer:

GHOST TOWN a_a

Step-by-step explanation:

HELLO

A $7.06 toy is on sale for 15% off if eve has a 25% off coupon how much will the you cost?​

Answers

Answer:

Step-by-step explanation:

First you determine how much 15% of $7.06 is. ($1.06)

Then you subtract that from $7.06 which is $6.00.

Then you determine how much 25% of $6.00 is. ($1.50)

Then you subtract that off from $6.00, which gives you $4.50.

Final answer: $4.50

let f(x)= 4x-6 and g(x)= 3x-5. find f(x)•g(x)

Answers

Answer:

12x^2-38x+30

Step-by-step explanation:

4x−6)(3x−5)

=(4x+−6)(3x+−5)

=(4x)(3x)+(4x)(−5)+(−6)(3x)+(−6)(−5)

=12x2−20x−18x+30

=12x2−38x+30

у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!

Answers

Answer:

x = -2, y = -9

Step-by-step explanation:

You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.

y = 2x -5 will become

4x - 1 = 2x - 5

Add 5 to both sides

4x + 4 = 2x

Subtract 4x from both sides

4 = -2x

Divide both sides by -2

-2 = x

Now we plug this number into an equation to find y.

y = 4x - 1 becomes

y = 4(-2) - 1

Simplifying it, we have:

y = -8 - 1

y = -9

please help me asap!

Answers

Answer:

It means that it takes 2/3 hours to mow 1 lawn

Step-by-step explanation:

please help me asap!!

Answers

Answer:

28/3

Step-by-step explanation:

We see that the triangles are simalar to eachother, so we can set up this ratio:

x/(8+x) = 7/13

x = 56/13 + 7x/13

13x = 56 + 7x

6x = 56

x=56/6=28/3

I will give out brainliest noooooo spams ok

Answers

Answer:

0.077

Step-by-step explanation:

Marco can divide 77 by 1000 to convert it to dekagrams

There are 0.077 decagrams per 77 centagrams

The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?

A. 28%

B. 12%

C. 70%

D. 30%

Answers

Answer:

its B.12%

Step-by-step explanation:

It is C. 70%

$40 • .70 = $28

Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply. Substituting a value into the inequality from the solution set, such as –2, will create a true statement. Substituting a value into the inequality from the solution set, such as 1, will create a false statement. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement. Substituting any value into the inequality will create a true statement.

Answers

Answer:

First and fourth statements are correct

Step-by-step explanation:

The function is [tex]|x+3|<5[/tex] where the domain is [tex]-8<x<2[/tex]

[tex]|-2+3|=1<5[/tex]

The first statement is correct.

[tex]|1+3|=4<5[/tex]

Substituting a value into the inequality from the solution set, such as 1, will create a false statement. This is wrong as it creates a true statement.

[tex]|4+3|=7\nless 5[/tex]

Substituting a value into the inequality not from the solution set, such as 4, will create a true statement. This is wrong as a value which is not from the solution set will create a false statement.

[tex]|6+3|=9\nless 5[/tex]

Substituting a value into the inequality not from the solution set, such as 6, will create a false statement. This is correct.

[tex]|10+3|=13\nless 5[/tex]

Substituting any value into the inequality will create a true statement. This is wrong as the value of x must be in the solution set.

Answer:

1.) Substituting a value into the inequality from the solution set, such as –2, will create a true statement.

4.) Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.

The graph represents f(x) = x + 3

On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).

What is f(−2.2)?

-2
0
1
2

Answers

The answer to this question is (-2,0)

Answer:

The answer is C, 1.

Step-by-step explanation:

The answer is simple. You round up to the nearest whole number (cant be a negative,) and it can't be a 0. Therefore, you get 1.

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