1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lerok [7]
3 years ago
5

the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10

0 miles to pick up their grandparents for a family vacation, given the time (t) traveled from the grandparents' home and driving at a rate of 55 mph. Determine how far from their home the Bensons will be after 3 1/2 hours of driving with their grandparents. d=55t+100
Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

The distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents  292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = 3\frac{1}{2} hours, we get;

d = 55 \times 3\frac{1}{2} + 100 = 292.5  \ miles

Therefore, the distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents = 292.5 miles.

You might be interested in
How do you show less than or equal too on a number line?
NISA [10]
It is like if you have two number lines. Then one has a pointer at 0, and the other one has the pointer facing at 2 then it will be lesser because the first one has 0 or if it turned around it would be greater. If it is equal then it would have the same number, but watch out if it is a negative number.
8 0
3 years ago
Write a word problem that can be solved by multiplying a whole number and a fraction. Include the solution.
adelina 88 [10]

Answer:

Sheila had 24 cupcakes, she gave 1/3 of them to Caleb. How many cupcakes did she give to Caleb?

Step-by-step explanation:

24 x 1/3 = 8

She gave 8 cupcakes to Caleb.

8 0
2 years ago
Write 7/14 • (-7/12) in lowest terms
Marizza181 [45]
The final answer should be -49/168.
3 0
3 years ago
Which of the two solids below are similar ?
Pachacha [2.7K]

Answer:  I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}

\frac{3}{2}=\frac{3}{2}=\frac{3}{2}

Corresponding sides ratio of solids I and III:

\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}

\frac{2}{3}=\frac{2}{3}=\frac{5}{8}

Corresponding sides ratio of solids II and III:

\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}

\frac{4}{9}=\frac{4}{9}=\frac{5}{12}

 You can observe that the solids  I and II are similar.

3 0
2 years ago
Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?
Komok [63]

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

(-3, 1) and

(-3, 4)

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x , -y)

(-1, 1) \rightarrow (-1 , -1)

(-1, 4) \rightarrow (-1 , -4)

(-3, 1) \rightarrow (-3 , -1)

(-3, 4) \rightarrow (-3 , -4)

Next, translate this 8 unit right which is given by:

(x, y) \rightarrow (x+8 , y)

(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)

(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)

(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)

(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

5 0
3 years ago
Read 2 more answers
Other questions:
  • True or false !!!<br><br> T or F
    15·1 answer
  • A right rectangular prism is shown. What shape best describes the cross section cut perpendicular to the base of a right rectang
    11·1 answer
  • The cost of a pack of 12 pens is $3.24. Find the the unit price in dollars per pen. If necessary, round your answer to the neare
    5·2 answers
  • If 640 acres is a square mile, and a mile is 1600 meters, how many square meters is an acre?
    9·1 answer
  • Rose Marie is shopping for some new shoes. The shoes she wants cost
    14·1 answer
  • On a number line, 7.7 would be located. Choose all answers that make a
    7·2 answers
  • There are 5/6 jugs of water and 3/10 of the water are for the other runners. How many jugs of water is there
    8·1 answer
  • Use the function g(x)=11 to find the following values<br> g(-3)
    12·1 answer
  • Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles
    9·1 answer
  • Which is bigger 0.20 or 0.02​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!