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Vitek1552 [10]
2 years ago
12

Ruby wants to start her own business taking photographs. She already has her own camera, but needs to purchase lights, a photo p

rinter, and photo paper. If the cost of the photo printer is $251.99, the cost of lighting is $150.00, and the cost for 100 sheets of photo paper is $30.98, determine how much of her savings will be used to start her company, given that she has $840.32 in savings. a. $432.97 b. $840.32 c. $432.62 d. $407.35
Mathematics
1 answer:
dangina [55]2 years ago
5 0

Ruby wants to <u>start</u> her own <u>business</u> taking photographs. She has to <u>purchase</u>

  • photo printer for $251.99;
  • lights for $150.00;
  • photo paper for $30.98.

In total, she will use

$251.99 + $150.00 + $30.98 = $432.97.

If she has $840.32 in savings, then

$840.32 - $432.97 = $407.35 will remain.

Answer: she will use $432.97 - correct answer A

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an artist is arranging tiles in rows to decorate a wall. each new row has 2 fewer tiles than the row below it. if the first row
valentinak56 [21]

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant

This problem is an Arithmetic Sequence

where

the first term is 23

and

the common difference is -2

In general we can write an Arithmetic Sequence as a rule

an=a1+d*(n-1)

where

a1 is the first term

d is the common difference

so

a1=23\\\\  d=-2

<u>Find the term a7</u>

an=a1+d*(n-1)\\ \\  a7=23+(-2)*[7-1]\\ \\\\ a7=23-12\\ \\\\    a7=11

therefore

<u>the answer is</u>

11\ tiles


7 0
1 year ago
Read 2 more answers
One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN
VLD [36.1K]

Answer:

<em>See the proof below</em>

Step-by-step explanation:

Given the following coordinates

P(2, −1)

Midpoint of PQ M(3, 0)

We can get the coordinate point Q using the midpoint formula;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

3 = 2+x2/2

6 = 2+x2

x2 = 6-2

x2 = 4

Y = y1+y2/2

0 = -1+y2/2

0 = -1 + y2

y2 = 0+1

y2 = 1

<em>Hence the coordinate of Q is (4, 1)</em>

Next is to get the coordinate of R

Given the midpoint of QR to be N(5, 3)

(5,3) = (4+x2/2, 1+y2/2)

5 = 4+x2/2

10 = 4+x2

x2 = 10-4

x2 = 6

1+y2/2 = 3

1+y2 = 6

y2 = 6-1

y2 = 5

<em>Hence the coordinate of R is (6,5)</em>

<em></em>

Given the coordinates M(3, 0) and N(5, 3)

Slope is expressed as:

m = y2-y1/x2-x1

m = 3-0/5-3

m = 3/2

Slope of MN = 3/2

Get the slope of PR

Given the coordinates P(2, −1) and R (6,5)

Slope of PR = 5-(-1)/6-2

Slope of PR = 5+1/4

Slope of PR = 6/4 = 3/2

<em>Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR</em>

<em></em>

To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:

For MN with coordinates  M(3, 0) and N(5, 3)

MN = √(x2-x1)²+(y2-y1)²

MN = √(5-3)²+(3-0)²

MN = √2²+3²

MN = √13

Get the length of PR where P(2, −1) and R (6,5)

PR = √(6-2)²+(5+1)²

PR = √4²+6²

PR = √16+36

PR = √52

PR = √4*13

PR = √4*√13

PR = 2√13

Since MN = √13

PR = 2MN

Divide both sides by 2

PR/2 = 2MN/2

PR/2 = MN

Hence MN = 1/2 PR (Proved!)

8 0
1 year ago
The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq
horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

h+p=305 ----> equation A

h+153=h+p ---> equation B

so

substitute equation A in equation B and solve for h

h+153=305

subtract 153 both sides

h=305-153

h=152\ ft

7 0
1 year ago
How can victoria justify step 3 of her work
Wittaler [7]
A little more info please?
4 0
2 years ago
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Mixed numbers between 0 and 2 with an interval of 1/3 between each pair of mixed numbers
Marysya12 [62]
A mixed number is a whole number plus a fraction.The smallest whole number is 1.So no mixed number can be less than 1.
Mixed numbers that are 1/3 apart and are between 0 and 2 
could be (1-1/3) and (1-2/3).
They could also be (1-1/6), (1-1/2), and (1-5/6) .
3 0
2 years ago
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