10. If you can travel 97 miles in 30 minutes, how many mileScan you
travel at the same rate in 8 hours?

Answers

Answer 1
Answer: 1,552
Explanation: you want to set up a proportion

Ex:

97 X
—- x —
30. 480

The way I got 480 was I converted 8 hours into minutes because you want the same value of measurement.

After this, just cross multiply and you get the equation

46560 = 30mile

Then just isolate the miles (because you are trying to solve for 1 mile

Miles = 1,552
Answer 2
1,552

30 minutes is half of an hour so first you need to multiple 8•2 then you multiple 97 by what 8•2 is (16) that gets you 1552

Related Questions


[tex]5x - 3(2x - 4)[/tex]
please help me​

Answers

(-x -12)

-3 distributed into the parenthesis and then combine like terms

What is the slope and y intercept I’m really new to this and need help

Answers

Answer:

The y intercept is -1 and the slope is 4/1

Step-by-step explanation:

When you are trying to find the y-intercept, you look at where the line crosses over the y axis. In this case it was at -1.

The slope indicates how many units it is going up/down or left/right. In this case, the distance between each point is up 4, and right 1. so the slope would be 4/1.

I hope this helps :)

5 hours 15 min + 3 hours 33 min


show the working as well

Answers

Answer:

8 hours 48 mins

Step-by-step explanation:

  h  m

  5:15

+3:33

--------------

  8:48

or

5 hours + 3 hours =8 hours,

15 mins + 33 mins = 48 mins

Therefore, it's 8 hours 48 mins.

Answer: 8 hours 48 min

Step-by-step explanation:

We calculate hours by hours and minutes by minutes :)

5 hours 15 min + 3 hours 33 min

⇒ 5 hours + 3 hours = 8 hours

⇒ 15 min + 33 min = 48 min

Factor the algebraic expression.



​ 7x+637x+63

Answers

Answer: 7 ( 92 x + 9 )

You have to find the greatest common number

First add the like terms (x) 7x+637x= 644

Then you know that 7 is the greatest common faxtor for 644 and 63

So that is how you get your answer 7(92x+9)

Step-by-step explanation:

I hope this helps!

If you are having a tough time with math you can use:

khan academy

math nation

7(92x + 9)

Add the the common terms together; 7x + 647, which equals 644x.

Then find the greatest common factor between 644 and 63; 7.

Then your factor it the left over; 7(92x + 9)


What is the slope of the line whose equation is -48 = 2x - 8y?
Enter your answer in the box.

Answers

Answer:

The slope is [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

Take the general equation of a straight line [tex]y = mx+c[/tex]

Here [tex]m[/tex] is the slope of the line.

So let's get the equation of the line in the question in the same form.

[tex]-48 = 2x-8y[/tex]

Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]

Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]

Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]

Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]

Jesse worked at the pool all summer and saved $500. Her parents want her to put the money into a bank account, where she would earn 2% simple interest monthly on her principal deposit of $500.


How much will she make in interest?

Answers

You need to know how long it was in her account then you would multiply the .2 by the 500$ and get the total for the first month. Then .2 by the total of the first month not $500 to get the second month. You continue this for as many months as it asks you and keep multiplying your new amount. The final step is to subtract the final month balance by $500 to get the amount she makes in interest.

can anybody answer this? 3/5 x 25

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

The answer is 15 (if 3/5 is a fraction)

evaluate: 5/6 + 4/9 =___?​

Answers

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

- List down their multiples

The multiples of 6  = 6 12 18 24

The multiples of 9  = 9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

List down their multiples

The multiple of 6

6 12 18 24

The multiple of 9

9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

- Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

- Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

if m<4= 86° what are the measures of the other seven angles in the figure

Answers

Answer:

below

Step-by-step explanation:

IF l₁ and l₂ are parallel, then:

Angles 2, 4, 5, 8 all equal 86 degrees

Then angles 1, 6, 3 , 8 all equal 180 - 86 which is 94 degrees

Yep I think he’s Solvinf it

Drag the numbers to order them from least to greatest 2/5,4/9,5/7

Answers

Answer:

2/5,4/9,5/7

Step-by-step explanation:

2/5 = 0.4

4/9 = 0.444444444

5/7 = 0.714285

What is the value of {-12}
–13
–12
12
13

Answers

Answer: B. -12

Edge 21: Since the brackets are facing down, there is no need to round the -12 because it's already an integer.

Help in this as well

Answers

Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8​

Answers

Answer:

x = 1/10

Step-by-step explanation:

if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8​?

3x + 101x - 24x = 8

80x = 8

x = 1/10

-------------------------

check

3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8

8 = 8

the answer is good

Which one of the options is the correct simplified one, please help.
I have it attached

Answers

Answer:

E    see below

Step-by-step explanation:

When dividing two fractions, you flip the second fraction over then multiply.

So the equation would then be:

3xy (2 + y)           ab

---------------  X   --------------

     2ab                3xy

The 3xy on top and bottom cancel each other out.  The ab on top and bottom cancel each other out.

So you are left with:

2 + y

-------

   2

Answer: Number E is correct.

Step-by-step explanation:

division becomes multiplication and turns upside down. ab cuts ab and 2 remains as denominator. 3xy cuts 3xy and 2+y remains as numerator. Therefore the answer obtained is 2+y/2.

two amounts of money are in the ratio 8:3.if the second amount is $4.05, what is the value of the first amount

Answers

Answer:

10.8$

Step-by-step explanation:

(8*4.03)/3 = 10.8

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

2 option

Step-by-step explanation:

mark me as brainliest

Answer:

Oh Im so Sorry But U Can Do It

5/6x10..........................

Answers

Answer:

Your answer is 8 1/3 or 25/3.

Step-by-step explanation:

Hope this helps!

The area of a fenced in back yard can be 144 square feet. The owners are trying to decide on the dimensions of the back yard, and have decided they want the length to be 10 feet more than its width. What will the dimensions of the back yard be?

Answers

A rectangle can be defined as a 4 sided geometric figure.  One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.

The dimensions of the background are given as Width: 8 feet and the  Length: 18 feet

The formula for the area of a rectangle is Length x Width.

The question says:

The owners want the length to be 10 feet more than its width. Hence:

L = W + 10

The area of the fenced backyard = 144 square feet.

Hence,

(W + 10) x W = 144

W² + 10W = 144

Rewriting the equation

W² + 10W - 144 = 0

We factorize the algebraic expression above

W² - 8W + 18W - 144 = 0

W(W - 8) + 18(W - 8) = 0

(W - 8) (W + 18) = 0

W - 8 = 0, W = 8

W + 18 = 0, W = -18

Since the width cannot be a negative value, the width of the backyard is 8 feet

Solving for the Length,

L = W + 10

L = 8 + 10

L = 18 feet

The length of the backyard is 18 feet.

Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.

To learn more, visit the link below:

https://brainly.com/question/9720917

find gcf

16x^2 -16+3

Answers

Answer:

13

Step-by-step explanation:

Step 1 to find gcf of  16x^2 -16+3  is factor out  the equation = (4x)^2  -13   =  (4x+13)(4x-13) So we factor to show one - and one + and then step 2 we then divide 4/4  -13/4 and 4/4 13/4  and cancel out 4/4 and see what we are left with =  x>+ - 13/4  = 3  1/4    we can now find gcf by working out 16x^2 = 16(3 1/4)^2 = 16(10.5625) = 169  and  the gcf of 169 and +- 13  =  13

[tex]\frac{1}{1+\sqrt{2} } +\frac{1}{\sqrt{2} +\sqrt{3} } +...+\frac{1}{\sqrt{99} +\sqrt{100} }[/tex]

Answers

Answer:

9

Step-by-step explanation:

the given expression can be re-written:

[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]

then

[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]

What is 26-(-35)? Explain your reasoning

Answers

[tex]26 - ( - 35) \\ = 26 + 35 \\ = 61[/tex]

Reasoning :-

- & - together will give you +

Hey there!

GUIDES FOR YOU TO FOLLOW FOR FUTURE PURPOSES.

Guide #1:

• Double [negatives] equals _positive_

• Double [positives] equals _positive_

• 1 [negative] & 1 [positive] equal(s) _negative_

• 1 [positive] & 1 [negative] equal(s) _negative_

Guide #2:

• Positives are on the RIGHT side of the number line

• Negatives are on the LEFT side of the number line

Guide #3:

• Negatives are BELOW 0

• Positives are ABOVE 0

Guide #4:

• When you’re only working with negatives you go down certain spaces because they are below 0

• When you’re only working with positives you too up certain spaces because they are above zero

And etc.

SOLVING FOR YOUR ANSWER

26 - (-35)

= 26 + 35

= 61

Therefore, your answer should be: 61

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

solve for x
a) 30
b)45
c) 60
d) 90

Answers

pi=180 degree
pi/6=180/6
=30

anthony uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he mane with 1 pint of lemon juice

Answers

Answer:

Therefore, he can make 2 batches of lemonade with 1pint of lemon juice

Anthony can make 2 batches of lemonade with 1 pint of lemon juice.

In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.

Step 1: Convert Pints to Fluid Ounces

Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.

1 pint = 16 fluid ounces

Step 2: Calculate Batches

Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.

Number of batches = Total fluid ounces / Fluid ounces per batch

Substitute the values:

Number of batches = 16 fluid ounces / 8 fluid ounces per batch

Number of batches = 2 batches

Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.

This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.

To know more about Batches here

https://brainly.com/question/33079787

#SPJ3

A 16 ounce box of a certain cereal cost $2.24 what is the cost per ounce of the cereal

Answers

Answer:

$0.14 per ounce

Step-by-step explanation:

Divide $2.24 by 16 and theres your answer

Luke made an elaborate code to remember the 10-digit combination to his bicycle lock. This is the code he came up with: F-G-E-D-A-K-B-J-C-H Each letter stands for a different digit (0-9). Study the clues below to figure out what digit is represented by each letter. When two letters are written together without an operation symbol, they represent a tens digit and a ones digit. F+F+F=D B÷ H = K J + A = CC
H+H = B. F×H= CK. D×F = KG G+B+E=D+A+C. A×H = KE J÷F=K F/J = H/B

What is the 10-digit combination to Luke's bicycle lock?

this is all the information I have.
please show work by either showing a picture of explaining it in text. Thank you ​

Answers

9514 1404 393

Answer:

  lock code: 3709528614

Step-by-step explanation:

Given:

3F = DH×K = BJ+A = CCH×2 = BH×F = CKD×F = KGG +B +E =D +A+CH×A = KEK×F = J

Find:

  single digit corresponding to each letter

Solution:

CC must be 11, because the sum of any pair of single digits cannot exceed 18. (C = 1).

K must be 2, because H×K = B = H×2. (K = 2)

The only single-digit products involving 3 are 3×1 = 3, 3×2 = 6, and 3×3 = 9. We know F is not 1 or 2, so for 3F = D we must have F = 3, D = 9. (F = 3)(D = 9)

CK = 12, so H×F = 3H = 12. This means H = 4. (H = 4)

2H = B, so B = 8. (B = 8)

D×F = KG. Using the values for D, F, K, we find 9×3 = 27. (G = 7)

K×F = J = 2×3. (J = 6)

At this point, the only unassigned digits are 0 and 5.

H×A = KE. Filling in known values, this is 4A = 20 +E. (A = 5)(E = 0)

The sum E+15 = A+10 can also be used to assign values to A and E.

__

Then the letters corresponding to the digits 0-9 are ...

  [tex]\texttt{01234 56789}\\\texttt{ECKFH AJGBD}[/tex]

The bicycle lock code is 3709528614.

The difference between 13 and a number is 4 more than twice the number

Answers

Answer:   3

Step-by-step explanation:

Let the number be 'a'.

Since the difference between 13 and a number is 4 more than twice the number,  then    13 - a = 2a + 4

            ⇒    13 - a = 2a + 4

                       2a + a = 13 - 4

                            3 a = 9

                               a = 3

∴ the number is 3

ANYBODY WHO ANSWERS THIS QUESTION CORRECTLY WILL GET 40 POINTS. THE ONES IN GREY ARE THE ANSWER OPTIONS.

Answers

Answer:

140 students are in the school

Step-by-step explanation:

According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140

So there were 140 students in the school.

Answer:

70*2 = 140

Step-by-step explanation:

if half is 70, then 100% is 70*2 = 140

evaluate the expression 1/4[x(2y+3z)] x=8 y=3z=5/3​

Answers

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

[tex]3z = \dfrac{5}{3}[/tex]

[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]

Which describes the range of the function?

Answers

(-infinity, 3) ; this is correct because the function goes down towards negative Infinity and stops at 3 on the y-axis.

How do you make 3x-4=y standard form

Answers

[tex]\\ \sf\longmapsto 3x-4=y[/tex]

isolate y

[tex]\\ \sf\longmapsto y=3x-4[/tex]

Done !

Here

m=3b=-4

Note:-

Standard form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

Answer:

[tex]⟼3x−4=y \\ \\

isolate y

\begin{gathered}\\ \sf\longmapsto y=3x-4\end{gathered}⟼y=3x−4

Done !

Here

m=3

b=-4

Note:-

Standard form

\begin{gathered}\\ \sf\longmapsto y=mx+b\end{gathered}⟼y=mx+b

[/tex]

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