On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater to a restaurant. On the map the movie theater is 1/2 inch from her house and the restaurant is 3/4 inch from the theater how many miles does Bonnie driven when she gets to the restaurant
A. 1 1/4
B. 9 3/8
C. 10
D. 12 1/2

Answers

Answer 1

Answer:

Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to [tex]7\frac{1}{2}[/tex] miles

We will find the unit rate in term of inches.

[tex]\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch[/tex]

Total distance covered by Bonnie according to map;

Total distance = [tex]\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}[/tex]

Total distance = [tex]\frac{5}{4}\ miles[/tex]

Actual distance = [tex]\frac{5}{4}*10 = \frac{25}{2}\ miles \\[/tex]

Actual distance = [tex]12\frac{1}{2}\ miles[/tex]

Hence,

Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.


Related Questions

18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.

Answers

Answer:

22

Step-by-step explanation:

Let the number of sides ne n

Sum of interior angles:

180(n - 2)

Sum of exterior angles:

360

We have equation below to solve for n:

180(n - 2) = 10*360n - 2 = 20n = 22

Identify the number of terms, the coefficient(s), and the
term(s) of the expressions below.
7. 6p - 7p + 9c - 4
terms:
Coefficients:
Constant terms

Answers

Answer:

terms = 7.6p-7p and 9c-4

coefficients =76, 7, 9 and 4

constant terms= 4

HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

The answer is C

Step-by-step explanation:

I need help who can help me with this ?

Answers

Answer:

15

205

45

Step-by-step explanation:

all arc measures are equivalent to the corresponding angle within the circle

10) 15

11) subtract all other angles from 360 to find missing angle

360= 15+95+45+x

360=155+x

205=x

12) 45

If u are selling 5 cans of soup for $12.75 how much is each of them

Answers

Answer:

63.75

Step-by-step explanation:

12.75 times 5

Convert 0.838383 into a fraction

Answers

Answer:

8jdhdhdhdhfbdudhdhdhd

how do yo do this question I have to
Solve the System by Substitution:

y = x-2
x + y = 4

Answers

Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

Hoped this helped :}

In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)

Answers

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

please answer ASAP i will marks brainliest!!!!

A standard high school track is 1/4 of a mile. One student is jogging and another student is
riding his bicycle around the track. The jogger is averaging 1 mile ran every 12 minutes, and the
biker is averaging 1 mile biked every 4 minutes. If both individuals plan to exercise for exactly
1.5 hours. How many more laps would the biker make around the track than the jogger?

Answers

Answer:

15

Step-by-step explanation:

PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER

Answers

Answer:

It is the second choice.

Step-by-step explanation:

Divide both side by pi r squared. Boom.

Answer:

h = V/πr²

Step-by-step explanation:

Its asking you to isolate h. You can simply divide on the right besides h on both sides.

V = πr²h

V/πr² = h

Solve: 68 – x = 14
( please i really need these super fast thank you! )

Answers

Answer:

x =54

Step-by-step explanation:

68 - x = 14

find the difference of 68 and 14 to get X

68 - 14 = 54

X=54

(Sorry if it is incorrect or doesn’t make sense!)

the answer is x=54 .

A forest covers 49,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

Answer:

0.0000612

Step-by-step explanation:

Answer: 86 I believe

Step-by-step explanation:

Lydia can paint 5/8 of a room in 2/3 of an hour. What is her unit rate?

[tex] \frac{10}{11} [/tex]

[tex] \frac{15}{16} [/tex]

[tex] \frac{7}{11} [/tex]

[tex] \frac{5}{12} [/tex]

Answers

Answer:

The answer is

[tex] \frac{15}{16} [/tex]

-7x+ 14-04. I need helppp plsss​

Answers

Answer:

The answer is -7x + 10

Subtract  4 from 14.

Hoped this helped!

sina×tga=1/2, cosa=?​

Answers

Answer:

cos a = -1.28 and 0.78

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P =  -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

Hence cos a = -1.28 and 0.78

Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.

Answers

Answer:

Child ticket = $7, adult ticket = $12

Step-by-step explanation:

3 child tickets and 4 adult tickets for $69:

3x + 4y = 69

3 adult tickets for $36:

3y = 36

Graph is attached

As per graph, x = 7, y = 12

Child ticket = $7, adult ticket = $12

13 = -2 ( y - 4 ) + 3y

Answers

Answer:

Y= 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

13= -2y+8+3y

13= y +8

-8       -8

5= y or y=5

I hope this helps!!

48 pens are packaged in 4 boxes.
how many pens are packaged in 9 boxes?​

Answers

Answer:

108 pens

Step-by-step explanation:

Answer:108. 48 divided by 4 = 12x9=108

can someone helPPPPPPPPPPPPPPPPPP

Answers

i believe it’s option #3. hopefully that helps :)

The ratio of athletes to non-athletes
at Browns Primary School is 3:4. If
there are 225 athletes in the school,
how many non-athletes are there?

Answers

Answer:

3:5

225 overhere is 3

225/3=75

4 x 75=300

300 non-athletes

Step-by-step explanation:

If abc=dec, b=5x and e = 45
What is x?

Answers

Answer:

9

Step-by-step explanation:

5(9)=45

Answer:

Step-by-step explanation:

a5xc=d45c

according to this equality,

x=5

Is the ordered pair (-3, 16) a solution for y=-3x + 7?

Answers

Answer: Yes

Step-by-step explanation:

(-3, 16) split into place would give you 16= -3-3 + 7. A negative times a negative is always a positive number so, -3 x -3 = 9, 9+7=16

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

A.
25°
B.
34°
C.
97°
D.
126°

Answers

Answer:

H=97 degrees or choice "C"

Step-by-step explanation:

Assuming this is a triangle:

All triangles contain 180 degrees, so:

180=E+G+H, or H=180-E-G

H=180-54-29

H=97

H=97 degrees or choice "C"

How do you write mixed numbers as percents?

Answers

convert the fraction part of the mixed number to a decimal,Divide the numerator by the denominator.


Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.

Answers

Answer:

D

Step-by-step explanation:

This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)

So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer

A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

What is an exponent?

Consider the function:

y = a (1 ± r)ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:

f(x) = 197(1.25)ˣ

If the growth of the weed is shown by each day will be given as,

r = 0.25 / 7

r = 0.03

Then the function is given as,

f(x) = 197(1.03)⁷ˣ

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Can someone please help me now. I'll pay extra points fr. This my last time please

Answers

Answer:

[tex]y = \frac{1}{2}x - 3[/tex]

Step-by-step explanation:

The y-intercept is -3

You can determine the slope by using rise over run, which is 1/2.

Solve *plz be quick*

Answers

Answer:

9(10-2)=

90-18=72

11×7-23=54

100-15+23=108

16/8=2

Step-by-step explanation:

prove me wrong

72
54
108
2
(Equations used to solve are listed in photo)

Find a pair of integers with a product of -84 and a sum of 5.

Answers

Answer:

12 x -7 = -84 12 + (-7) = 5

Step-by-step explanation:

Anwser this question for brainlist

Answers

the answer would be A

3(3)+8= 17 7(3)+9=30 17+30=47

10(3)+17=47

47=47

The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?

Answers

Answer:

0.4016%

Step-by-step explanation:

Estimated Value = 3,500 people ,  Exact attendance = 3486 people

We can see that there is a Percentage decrease . So we will apply the formula.

%Decrease = Old Value - New Value /Old Value × 100%

%decrease = 14/3486 %

%Decrease = 0.4016% (Answer)

There’s a drawing and I don’t know how to explain it on it

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