Ask question

Ask question

All categories

3 years ago

15

danielle and drew are sightseeing for the day. between the two of them they take 124 pictures. if danielle takes 16 more than th

ree times as many pictures as drew, how many pictures does each friend take?

1 answer:

Gala2k [10]3 years ago

6 0

Answer:

Pictures clicked by Drew = 27

Pictures clicked by Danielle = 97

Step-by-step explanation:

The pictures captured by both of them = 124

Let us assume the pictures clicked by Drew = m

So, Pictures captured by Danielle = 16 + 3( Pictures clicked by Drew)

= 16 + 3 m

Now, Total Pictures clicked by (Drew + Danielle) = m + (16 +3 m )

⇒ m + (16 +3 m ) = 124

or, 4 m = 124 - 16

⇒ 4 m = 108

or, m = 108/4 = 27, or m = 27

Hence, the pictures clicked by Drew = m = 27

and the pictures clicked by Danielle = 16 + 4m = 16 + 81 = 97

You might be interested in

Identify an equation in point-slope form for the line perpendicular to

Alik [6]

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

7 0

4 years ago

The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.8

Ber [7]

Answer:

0.85

Step-by-step explanation:

Given two events A and B, the probability that either A or B occurs is given by:

$p(A\cup B) = p(A)+p(B)-p(A\cap B)$

where

$p(A)$ the probability that A occurs

$p(B)$ is the probability that B occurs

$p(A\cap B)$ is the probability that both A and B occur at the same time

In this problem, we know the following facts:

$p(o) = 0.83$ is the probability that the car requires an oil change

$p(b)=0.17$ is the probability that the car requires a brake repair

$p(o\cap b) = 0.15$ is the probability that the car requires both an oil change and brake repair

Therefore, the probability that either o (car requiring oil change) or b (car requiring brake repait) occur is:

$p(o\cup b)=p(o)+p(b)-p(o\cap b)=0.83+0.17-0.15 = 0.85$

4 0

3 years ago

A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is

eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

so

$0.05x+0.10y=9.45$ ------> equation A

$0.05x+0.10(2y)=16.65$

$0.05x+0.20y=16.65$ ------> equation B

<em>Solve the system by substitution</em>

we have

$0.05x+0.10y=9.45$ ------> equation A

$0.05x+0.20y=16.65$ ------> equation B

Multiply both equations by 100 both sides

$5x+10y=945$ ----> $5x=945-10y$ --> equation C

$5x+20y=1,665$ ----> equation D

substitute equation C in equation D

$(945-10y)+20y=1,665$

solve for y

$945+10y=1,665$

$10y=1,665-945$

$10y=720$

$y=72\ dimes$

Find the value of x

$5x=945-10y$

$5x=945-10(72)$

$5x=225$

$x=45\ nickels$

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0

3 years ago

The Pythagorean Theorem and Irrational numbers

Natalka [10]

49=16+x^2
x^2= 33
x= square root of 33

3 0

3 years ago

Drag each figure to show if it is similar to the figure shown or why it is not similar

natita [175]

Answer:

In the given shapes above, we can see that all shapes have four sides.

Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.

First two shapes are Rectangles.

Third is a parallelogram.

Fourth and fifth shapes are Rectangles again.

Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)

Below shown shape has only three sides in it.

It is called a triangle when a shape has three sided close figure.

So, we could drag : Not similar - Different Type of shape.

4 0

3 years ago