This is the question in the photo above.

Answer: 38 miles per gallon ; 342 miles.

Step-by-step explanation:

The miles/gallon that he got on the trip will be:

= 228/6

= 38 miles per gallon.

When he used 9 gallons of gas, the distance travelled will be:

= 38 × 9

= 342 miles

Answer:

Question :

Jamar drove 228 miles and used 6 gallons of gas.

Solution :

a) How many miles/gallon did he get on the trip?

[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]

[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]

[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]

Hence, he get 38 miles/gallon for his trip.

[tex]\rule{200}2[/tex]

b) On another trip, he used 9 gallons of gas. How far did he travel?

[tex]{\implies{\sf{38 \times 9}}}[/tex]

[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]

Hence, he traveled 342 miles by using o gallon og gas.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer:

[tex]A = \frac{V}{QT}[/tex]

Step-by-step explanation:

To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:

[tex]AQT = V[/tex]

[tex]AQT = \frac{V}{1}[/tex]

[tex]AQ = \frac{V}{T}[/tex]

[tex]A = \frac{V}{QT}[/tex]

Answer:

b

Step-by-step explanation:

90×(2)

= 180

each mile is equal to 90 calories

therefore 2 miles is equal to 180

Answer:

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

  Sean's workplace is located 20 km from his home.

__

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

  (20 km)/(1 h) = 20 km/h

  Sean's speed driving to work was 20 km/h.

__

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

  (10 km)/(2 h) = 5 km/h

  Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

Additional comment

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

Answer:

7x-21

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

Answer:

8 inches

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × b × h

We can sub in the values we know:

16in² = 1/2 × b × 4in

To find b, we divide both sides by 1/2 and 4in:

16in² ÷ (1/2 × 4in) = b

16in² ÷ 2in = b

b = 8in

Hope this helps!

Answer:

Youngest child: $2

oldest child: $6

Second oldest: $2.50

Step-by-step explanation:

Youngest child= x

oldest child= 3x

Second oldest: .50+x

x+3x+.50+x=10.5

5x+.50=10.5

    - .50= - .50

5x=10

divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.

The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Let the youngest sibling contribute the amount of x dollars

As per the given information,

3x + 0.50 x + x + x = 10.50

Apply the addition operation,

4.50x = 10.50

x = 10.50 / 6.50

Apply the division operation to get

x = 1.90

So the youngest sibling contributed = $1.90

The oldest contributed 1.90 × 3 = $5.27

And the second oldest contributed (1.50)1.90= $2.85

Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Answer:

tan teta =cos teta is the answer

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

Answer:

Answer #3

Step-by-step explanation:

The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.

Answer:

See attachment.

Step-by-step explanation:

Answer:

Original Price = $23

Step-by-step explanation:

$5.75 is the price after a discount of 75%

Let the original price be x and x is 100% of the price

5.75 = 100%x - 75%x

5.75 = 25%x

The new price is 25% of the original because you are subtracting 75%

25% is also written as 0.25

5.75 = 0.25x

x = 5.75/0.25

x = 23

The original price is 23

-Chetan K

Answer:

$63.00

$31.50×2=$63.00

The amount of money Neela needs to deposit to raise her balance to 0 is; $163

Since Neela's online banking showed she's been charged a monthly fee of $8 on checking accounts and an overdraft protection fee of $35.

Subsequently, she wrote a check of $375 in which case; Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared.

Since the account showed she had a balance of $530.

Her new account balance is; $530 - $693 = -$163

Therefore, Neela needs to deposit $163 to raise her balance to 0.

Read more on arithmetics:

https://brainly.com/question/25500602

OK ILL HELP

Its the first option

We will simplify the left hand side of the equation to look like the right

[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]

taking the LCM

[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]

expanding the binomial in the numerator

[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

Since sin²x + cos²x = 1

[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

factoring out the 2 from the numerator

[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

1-sin(t) will cancel out

[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]

since cos²(t) = 1/(sec²(t))

[tex]2 sec^{2}(t)[/tex]

which is equal to the right hand side of our given equation.

So we verified the identity!

Answer:

[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)

Step-by-step explanation:

Please refer to the attachment for calculations.

I hope this helps!

Answer:

12x² + 15x

Step-by-step explanation:

(3x × 4x) + ( 3x × 15)

Answer:

(3x) (X 4+5)

3x×(x×4+5)

3x×(4x+5)

12x^2+15x answer

Answer:

I have a test on thursday toooooooo

Step-by-step explanation:

Answer: (weight = w)

This is a lot to answer but. (A)  (13 x 1.2) - 14 = w

w = 1.6

Step-by-step explanation:

Answer:

13. 15

14. 7.25

15. 18.7

16. 40.515

17. 9.6

18. 12.95

19. 20.4

20. 16.2

21. 24

22. 25.65

Answer:

A. y = 3x.

Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.

Answer:

B 68 sq cm

Step-by-step explanation:

There's an overlap of 4

2*13 + 4

4 * 17 is 68

Katie don't delete my work!

Answer:

B and D

Step-by-step explanation:

Answer:

It's an obtuse Scalene Triangle

Step-by-step explanation:

Look up triangle angle calculator and enter in the sides

Answer:

I'm not sure what the question is actually asking but 26% of the profit is 366.60

Step-by-step explanation:

if u subtract the profit, u have 1043.40 remaining