Cheryl can drive 250 miles in 4 hours, how many miles (at this same rate) could she drive in 10 hours?​

Answer:

g(x) = (1/4x)^2

Step-by-step explanation:

Given f(x), we want to get g(x)

As we can see, the point (4,1) lies on the graph of g(x)

So the correct option will be the one where g(4) = 1

Let us take a look at the second option

g(x) = (1/4x)^2

Here,

g(4) = (1/4 * 4)^1 = 1^1 = 1

Answer:

18 minutes earlier

Step-by-step explanation:

Given

[tex]Distance =119km[/tex]

[tex]Speed\ 1 = 70km/h[/tex]

[tex]Speed\ 2 = 85km/h[/tex]

Required

Determine how much sooner if traveled at speed 2 instead of speed 1

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Distance}{Speed }[/tex]

For Speed 1

[tex]Time= \frac{119km}{70km/h}[/tex]

[tex]Time= 1.7hr[/tex]

For Speed 2

[tex]Time= \frac{119km}{85km/h}[/tex]

[tex]Time= 1.4hr[/tex]

Calculate the difference

[tex]Difference = 1.7hr - 1.4hr[/tex]

[tex]Difference = 0.3hr[/tex]

Convert to minutes

[tex]Difference = 0.3*60\ min[/tex]

[tex]Difference = 18\ min[/tex]

If traveled at 85km/h, the van will arrive 18 minutes earlier

Answer:

y= 260/33 - 16x/33

x= 65/4 - 33y/16

Step-by-step explanation:

hope this helps ;')

Answer:

please rewrite the function. the latex function did not work.

Answer:

21 < x < 27

Step-by-step explanation:

Given that :

Side 1 = 23

Side 3 = x

Side 2 = 2x - 4

23 + x > 2x - 4

Collect like terms

x - 2x > - 4-23

-x > - 27

x < 27

Also ;

23 + 2x - 4 > x

23 - 4 > x - 2x

21 > - x

-21 < x

x > - 21

Hence,

Possible values of x :

x > 21 and x < 27

21 < x < 27

Answer:

3.5 hours

Step-by-step explanation:

Distance = 21 miles

Speed * time

Speed * time = distance

Tom speed = 2 mph

Brian = 4 mph

Let time = t

Brian distance + Tom's distance = total distance

4t + 2t = 21

6t = 21

t = 21 / 6

t = 3.5 hours

Answer:

86.6 ft.

Step-by-step explanation:

The red marbles are 3/10 of the total.

The blue ones are 5/10 of the total.

The green ones are 2/10 of the total.

Of these, 5/10=1/2=(1×4)/(2×4)=4/8

Therefore, five tenths is equivalent to four eighths.

Answer:

16.59

Step-by-step explanation:

πr^2/2

radius is 6.5/2 = 3.25

πx3.25x3.25/2= 16.59

Answer:

52°

Step-by-step explanation:

here's your solution

=> we know that the measure of angle of rectangle is 90°

=> 38° + X = 90°

=> X = 90° - 38°

=> X = 52°

hope it helps

Answer:

52 because D is a right angle,so 90 - 38 will give you 32

another interesting thing that can help you in math, the opposite sides if a quad are always equal, in this case D and B is equal,and C and A is equal.If you add C and a it will give you 180 degrees and if you add d and b it will give you 180 degrees

so 180 + 180

Answer:

12

Step-by-step explanation:

30÷5

=6

therefore,

2×6

=12

Answer:

79°

Step-by-step explanation:

its a right angled triangle so the unknown is 90°

180 - (90 + 11)

First, flip the equation around.

3/5=4m

4m=3/5

Now simplify by dividing 4 from both sides.

4m=3/5

/4    /4

m=0.15 or 3/20

---

hope it helps

The value of m will be equal to 3 / 20.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3 / 5 = 4m. The value of m will be calculated as:-

First, flip the equation around.

3/5=4m

4m=3/5

Now simplify by dividing 4 from both sides.

4m = 3/5

m = 0.15

m = 3/20

To know more about an expression follow

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Answer:

Step-by-step explanation:

Given points:

Use distance formula:

Distance

n=61

Answer:

1296 sq inches

Step-by-step explanation:

To start, you need to get the total area of each individual roll of wrapping paper. To do this, you need to multiply the length x width, which would be 18 x 24 = 432. Then, you have three rolls so you mutiply that by three, which is 432 x 3 = 1296. You add the unit, and that leaves you with 1296 sq inches.

Answer:

2.25

Step-by-step explanation:

I think it is this in fraction form 2 1/4

Step-by-step explanation:

sorry dude my last brain cell ran after exam

Answer:

3/4 and 6/8 = 3/4 and 3/4

Step-by-step explanation:

1/4 and 1/8

2/4 and 3/8

3/4 and 6/8

3/4 and 7/8

Which pair of fractions are equivalent?

1/4 and 1/8

Not equivalent

2/4 and 3/8

Not equivalent

3/4 and 6/8

Divide both numerator and denominator of 6/8 by 2

3/4 and 3/4

Equivalent

3/4 and 7/8

Not equivalent

$$3000-$1200=$1800

take $1800÷$40=45

Answer:

did you try googling it? it works for me

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

The first three terms of an A.P is equivalent to the first three terms of a G.P.

We want to show that this is only possible if r = 1 and d = 0.

If a is the initial term and d is the common difference, the A.P. will be:

[tex]a, a+d, \text{ and } a+2d[/tex]

Likewise, for the G.P., if a is the initial term (and it does not equal 0) and r is the common ratio, then our sequence is:

[tex]a, ar,\text{ and } ar^2[/tex]

The second and third terms must be equivalent. Thus:

[tex]a+d=ar\text{ and } a+2d=ar^2[/tex]

We can cancel the d. Multiply the first equation by -2:

[tex]-2a-2d=-2ar[/tex]

We can now add this to the second equation:

[tex](a+2d)+(-2a-2d)=(ar^2)+(-2ar)[/tex]

Simplify:

[tex]-a=ar^2-2ar[/tex]

Now, we can divide both sides by a (we can do this since a is not 0):

[tex]-1=r^2-2r[/tex]

So:

[tex]r^2-2r+1=0[/tex]

Factor:

[tex](r-1)^2=0[/tex]

Thus:

[tex]r=1[/tex]

The first equation tells us that:

[tex]a+d=ar[/tex]

Therefore:

[tex]a+d=a(1)\Rightarrow a+d=a[/tex]

Hence:

[tex]d=0[/tex]

Q.E.D.

Answer:23.1 ft

Step-by-step explanation:

Given

Point is 15 ft away from the base of the flagpole

The angle of elevation is [tex]57^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]

The length of the flagpole is 23.1 ft

Answer:

1) yes

2) no

3) no

4) yes

5) yes

6) no

6) 3 < x < 17

7) 3 < x < 15

Answer:The center is at $36.

Step-by-step explanation:

Answer:

it would be 36.

Step-by-step explanation:

i did it my self

Answer:

If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5

Hope this helps!

Answer:

Christina is incorrect.

Step-by-step explanation:

Since we are multiplying and our numbers are larger than 1, we know our product will be large. Your answer will be 575 :)

I hope this helps! :3

Answer:

37.5%

Step-by-step explanation:

The percentage of the punch in cranberry juice will be 37.50%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Diane makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice.

The percentage of the punch in cranberry juice will be given as,

P = [3 / (3 + 3 + 2)] x 100

P = (3 / 8) x 100

P = 0.375 x 100

P = 37.50%

The percentage of the punch in cranberry juice will be 37.50%.

More about the percentage link is given below.

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Answer:

The answer is 44 cm^2

I hope it helps

Answer:

44 cm

Step-by-step explanation:

math. ...........

Answer:

11: A. Some ferrets are longer than some fishers.

12: The range for the fisher is 25cm greater than for the ferret.

13. The mean for the ferret is 11cm less than for the fisher.

5. Probably 18 members.

6. Probably 210