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yaroslaw [1]
3 years ago
11

Terry drove 310 miles in 5 hours at a constant speed. How long would it take home to drive 403 miles at the same speed

Mathematics
1 answer:
yuradex [85]3 years ago
7 0
310 miles ÷ 5 hours = 62 miles per hour

403 miles ÷ 62 = 6.5 hours
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4) If a = 28 and b = 4, then a/b = ______
exis [7]

Answer:

7

Step-by-step explanation:

You divided both 28 and 4 and you will get 7 as your answer.

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3 years ago
pls help me,, the length of a rectangle is four less than the width. if the area is 32 ft^2, find the width and length. ​
Ksju [112]

Answer:

width is 8 length is 4

Step-by-step explanation:

4*8 is 32

8-4=4

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3 years ago
Sophia drops her pencil in a cup and
MariettaO [177]

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

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3 years ago
Find the coordinates of the point three tenths<br><br> of the way from A(-4, -8) to B(11, 7)
Leviafan [203]

let's first off take a peek at those values.

let's say the point with those coordinates is point C, so C is 3/10 of the way from A to B.

meaning, we take the segment AB and cut it in 10 equal pieces, AC takes 3 pieces, and CB takes 7 pieces, namely AC and CB are at a 3:7 ratio.


\bf ~~~~~~~~~~~~\textit{internal division of a line segment}&#10;\\\\\\&#10;A(-4,-8)\qquad B(11,7)\qquad&#10;\qquad \stackrel{\textit{ratio from A to B}}{3:7}&#10;\\\\\\&#10;\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]&#10;~\dotfill\\\\&#10;C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]&#10;~\dotfill


\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)&#10;\\\\\\&#10;C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill

4 0
3 years ago
Determine the equation of quadratic function represented by the table of value below.
Svetllana [295]

Answer:

A

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(0)=6\Rightarrow 6=a\cdot 0^2+b\cdot 0+c\\ \\y(1)=4\Rightarrow 4=a\cdot 1^2+b\cdot 1+c\\ \\y(-1)=10\Rightarrow 10=a\cdot (-1)^2+b\cdot (-1)+c

We get the system of three equations:

\left\{\begin{array}{l}c=6\\ \\a+b+c=4\\ \\a-b+c=10\end{array}\right.

From the first equation

c=6, then

\left\{\begin{array}{l}a+b=-2\\ \\a-b=4\end{array}\right.

Add these two equations:

a+b+a-b=-2+4\\ \\2a=2\\ \\a=1

So,

b=-2-a=-2-1=-3

The quadratic function is

y=1\cdot x^2-3x+6\\ \\y=x^2-3x+6

6 0
3 years ago
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