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2 years ago

What is the ratio of the two values and what new value do they produce? $280 in 7m

Mathematics

1 answer:

3241004551 [841]2 years ago

4 0

Answer:

The ratio between two values A and B is just the quotient between these two values:

ratio = A/B

a) $280 in 7m

Here the ratio is:

$280/7m = $40/m

This also can be read as:

$40 per meter.

b) 105 miles in 2 hours

Here the ratio is:

105mi/2h = 52.5 mi/h

This also can be read as:

52.5 miles per hour

c) $33 for 5lb

The ratio is:

$33/5lb = $6.6/lb

This can be read as:

$6.6 per pound.

d) 50 pages in 2 hours

the ratio is:

(50 pages)/2h = 25 pages/h

this can be read as:

25 pages per hour.

You might be interested in

The figures below are similar.

Dafna1 [17]

Answer:

a) 2.5

b) 6.25

Step-by-step explanation:

For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.

<h3>Application</h3>

The ratio of linear dimensions, larger to smaller, is ...

(30 yd)/(12 yd) = 2.5

<h3>a) Perimeter</h3>

Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.

The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:

(2.5)² = 6.25

The ratio of the areas of the larger to smaller figure is 6.25.

7 0

2 years ago

Please help me with this problem!): (#5)

astra-53 [7]

5a.

18/9 = 12/x

18x = 12(9)...cross multiply

18x = 108

x=108/18

x=6

6 0

3 years ago

Math again yay!...Ew math

Sliva [168]

Answer:

The graph of g(x) is wider.

Step-by-step explanation:

Parent function:

$f(x)=x^2$

New function:

$g(x)=\left(\dfrac{1}{2}x\right)^2=\dfrac{1}{4}x^2$

<u>Transformations</u>:

For a > 0

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

$\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of}\:a\\ & \textsf{If }a > 1 \textsf{ it is stretched by a factor of}\: a\\ & \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of}\: a\\\end{aligned}$

$\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a\\& \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a\\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a\\\end{aligned}$

If the parent function is <u>shifted ¹/₄ unit up</u>:

$\implies g(x)=x^2+\dfrac{1}{4}$

If the parent function is <u>shifted ¹/₄ unit down</u>:

$\implies g(x)=x^2-\dfrac{1}{4}$

If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:

$\implies g(x)=\dfrac{1}{4}x^2$

If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:

$\implies g(x)=\left(\dfrac{1}{2}x\right)^2$

Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.

4 0

2 years ago

Can someone remind me how to add negative and positive numbers together along with subtracting them correctly? Please provide ex

Zarrin [17]

To add a negative and a positive I usually just subtract them so ex: -5+4=-1
and to subtract them I add the numbers together so -5-4=-9 so its basically the opposite

7 0

3 years ago

Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo

LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

$ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0$