Mount Mauna Kea is the tallest mountain when measured from its base. It rises from 5854m below sea level to 4349m above sea level. How tall is Mount Mauna Kea? Use numbers and words to explain your thinking. *

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wideStep-by-step explanation:

Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wider

Step-by-step explanation:

hope it heped

Answer: A -11

Step-by-step explanation: trust me

Answer:

95.40

Step-by-step explanation:

first u do 10% and that is 47.7

then 20% is 47.7 times 2 and that is 95.40

Answer:

[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]

Step-by-step explanation:

Commission = 20 % of $477

[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"

Let x = gallons to fill the tank

14

multiply by 12

12*3%2F4x = 12*1%2F6x + 12(14)

3(3x) = 2x + 168

9x - 2x = 168

7x = 168

x = 168/7

x = 24 gallons

:

see if that is true

1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank

Answer: x=-20

-103= 6x + 17

-120=6x

-20=x

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

Answer:

9

Step-by-step explanation:

13*3=39

48-39=9

Answer:

48-39=9

        ^

(13 x 3=39)

Answer:

1/2^4

Step-by-step explanation:

Answer:

15 ft

Step-by-step explanation:

A=LxW

135 ft2 =m X 9ft

Divide 135 by 9

& that equals 15ft.

To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.

Step-by-step explanation:

4,6 and 8 are composite numbers

and 2 is an prime number

hope it helpful

Answer:

4 , 6 , & 8 are composite numbers

Answer:

She earned 300 dollars by selling 100 headbands.

Answer:

B - 9

Step-by-step explanation:

5 x 9 = 45 or 45 divided 5

Answer:

Step-by-step explanation:

221/17= 13 miles per hour over

30 limit + 13 over = 43mph

Answer:

43

Step-by-step explanation:

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

I hope this helps!

Answer:

2292.84

Step-by-step explanation:

Answer: he could work 7 hours tutoring and 6 hours clearing tables

Step-by-step explanation:

The system of inequalities can be used to find the number of hours Logan

can spend on each job in a week.

Response:

The system of inequalities are;

A possible solution of the system of inequality obtained from the graph is the point (5, 8)

The amount Logan makes per hour tutoring = $18 per hour

The amount he makes clearing tables = $10 per hour

Number of hours Logan can work in a week = 13

Amount he must earn in a week = At least $170

Number of hours he spends tutoring = x

Number of hours he spends clearing tables = y

Based on the given information, we have;

Please find attached the graph of the above inequality showing the feasible region.

A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;

Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.

Learn more about inequalities here:

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Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

This is the answer hope it helps

if u had a picture i could give further details

Hope this helped

Answer:

What if I told you I guessed

Step-by-step explanation:

but submitted and got it correct

...

Answer:

34

Step-by-step explanation:

It is an isosceles triangle.

112 + u + u =180       {Angle sum property}

112 + 2u   = 180

        2u = 180 - 112

        2u = 68

          u = 68/2

         u = 34

Amswer

it is b Step-by-step explanation:

Answer:

3

Step-by-step explanation:

multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents

(sq rt 3)^2 = 3

add exponents and power of 1

Answer:

$170 + $35n

Step-by-step explanation:

Given that:

First day:

Transport fare = $70

Fee per ticket = $19

2nd day:

Transport fare = $100

Fee per ticket = $16

Total cost in dollars for the two days for n members

Number of members = n

First day:

70 + 19n

Second day :

100 + 16n

Totak cost :

(70 + 19n) + (100 + 16n)

70 + 100 + 19n + 16n

170 + 35n

$170 + $35n

just add you the numbers and you will get the answer

Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.

Step-by-step explanation:

Answer: A. $5.70

Step-by-step explanation:

Answer:

1.67 gallons

Step-by-step explanation:

Given that:

Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.

New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.

To find:

Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.

Solution:

First of all, let us calculate the answer by adding pure water to 15 gallon bucket.

Let the number of gallon of water to be added = [tex]x[/tex]

New volume = (15+[tex]x[/tex]) gallons

Now, let us compare the number of gallons of water in the mixture before and after.

[tex]15\times 20\% + x = (15+x)\times 40\%\\\Rightarrow (3+x)\times 5 = (15+x)\times 2\\\Rightarrow 15+5x=30+2x\\\Rightarrow 3x=15\\\Rightarrow x =5\ gallons[/tex]

Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.

To a 5 gallon bucket, the number of gallons of water to be added = [tex]\frac{5}{3} =\bold{1.67\ gallons}[/tex]