Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car shows it can drive 370 miles on 20 gallons of gas. How far could you drive on 65 gallons of gas?

Answer: 7 pounds

Step-by-step explanation: 1 3/4×4=7

Answer:

?

Step-by-step explanation:

Given:

A figure.

To find:

The value of x and y.

Solution:

In triangle ADC, all angles are equal, so it is an equilateral triangle.

We know that, all sides of an equilateral triangle are equal.

[tex]AD=AC[/tex]       ...(i)

[tex]3x-5=5y-4[/tex]                   ...(ii)

In triangle ABD,

[tex]\angle BAD=\angle ABD[/tex]

Base angles are equal, so triangle ABD is an isosceles triangle.

[tex]AD=BD[/tex]     ...(iii)

Using (i) and (iii), we get

[tex]AC=BD[/tex]

[tex]5y-4=y+12[/tex]

[tex]5y-y=4+12[/tex]

[tex]4y=16[/tex]

Divide both sides by 4.

[tex]y=4[/tex]

Putting y=4 in (ii), we get

[tex]3x-5=5(4)-4[/tex]

[tex]3x-5=20-4[/tex]

[tex]3x-5=16[/tex]

Adding 5 on both sides, we get

[tex]3x=16+5[/tex]

[tex]3x=21[/tex]

Divide both sides by 3.

[tex]x=7/tex]

Therefore, the value of x is 7 and the value of y is 4.

Answer:

_+5 is the best way to get the best way answer

Answer:1.2mph

Step-by-step explanation:

3/5*2=1.2 and 1/2*2=1 so it’s 1.2 mph

Answer:

Step-by-step explanation:

Answer:

The number, x = { -5 < x < 14}

This means x is any integer between -5 and 14

Step-by-step explanation:

From the statement, let the number be x

3 + x = y; y = { -2 < y < 17}

This means that y is any integer between -2 and 17

Therefore, x = y - 3

Subtract 3 from the limits of y

i.e. -2 - 3 = -5 and 17 - 3 = 14

Hence, x = { -5 < x < 14}

Step-by-step explanation:

First no. is 12

Second no. is 8

Third no. of 25

Way 1 of grouping the numbers,

(12×8)×25

We can use associative law of multiplication as follows :

(a×b)×c = a×(b×c)

(12×8)×25 = (96) × 25

= 2400

Way 2,

12×(8×25) = 12 × 200

= 2400

Way 2 is easier to simplify because when we multiply 8 and 25, we get 200. It is very easy to multiply any number with a number that have zeroes. As a result we easily get the answer i.e. 2400.

Answer:

ionk

Step-by-step explanation:

Answer:

breadth=16cm and length=32cm

Let breadth be X

According to question,

lengtg=2X

Now,

Perimeter=2(l+b)

or,96=2(2X+X)

or,96=2(3X)

or,96=6X

or,96/6=X

or,X=16cm.

length =32 cm and breadth =16 cm

Answer:

length = 32 cm, breadth = 16 cm

Step-by-step explanation:

let breadth be b then length is 2b, then

2b + 2(2b) = 96

2b + 4b = 96

6b = 96 ( divide both sides by 6 )

b = 16

Thus

breadth = 16 cm and length = 2 × 16 = 32 cm

Answer:

Step-by-step explanation:

Given

PEMDAS is the rule that includes order of operations in the sequence:

In the given expression we have Addition bit of PEMDAS

Answer:

Bar Graph

Step-by-step explanation:

Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time

Answer:

think what constant of proportionality is

Step-by-step explanation:

Answer:

$13.75

Step-by-step explanation:

Ivan earns $343.75 working for 25hours

The amount that Ivan gets if he works for 1 hour can be calculated as follows

= 343.75/25

= 13.75

Hence the amount paid for one hour is $13.75

Answer:

5, 25, 45

Step-by-step explanation:

okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.

Answer:

y int is (0,5)

slope is m=-2

y=-2x+5

Step-by-step explanation:

The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)

Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.

Answer:

%70

Step-by-step explanation:1,000=%100  300+%30  1000 - 300 = 700 so 700 + %70

Answer:

it is D) 25

Step-by-step explanation:

Answer:

The initial bacteria population is 238

Step-by-step explanation:

Let us have the increase as an exponential equation

P(t) = I(1 + r)^t

where P(t) is the count at a particular time

r is the percentage increase

I is the initial population

t is the time

So for 5 minutes, we have

348 = I(1 + r)^5

For 20 minutes

1088 = I(1 + r)^20

Divide the second equation by the first

1088/348 = I(1 + r)^20/I(1 + r)^5

3.13 = (1 + r)^15

Take the ln of both sides

ln 3.13 = 15 ln (1 + r)

ln 3.13/15 = ln (1 + r)

0.0761 = ln (1 + r)

1 + r = e^0.0761

1 + r = 1.079

r = 1.079-1

r = 0.079 which is 7.9%

So per minute. we have an increase of 7.9%

So let’s get I by substituting

From;

348 = I(1 + 0.079)^5

348/1.079^5 = I

I = 237.9 which is 238 to the nearest whole number

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

Answer:

[tex]m=\frac{8}{5}[/tex]

Step-by-step explanation:

Answer:  The slope is  -8/5

Step-by-step explanation:

Using the located points  (-1,4)     and  (4,-4)  we will find the difference in the y coordinates of the points and divide it by the difference in the  x coordinates of the same points.  

Difference in y:  4 - (-4)  =  8

Differecence in x  -1 - 4 = -5

Slope:    8/-5

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Answer:

D

Step-by-step explanation: