Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, she sold a total of 91 candles and made $572.

how many tall candles did she sell?

how many short candles did she sell?

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

If you think of the equation as an equation for a line.

=+
y
=
m
x
+
b

where

=5/9(−32)
C
=
5
/
9
(
F
−
32
)

or

=5/9−5/9(32)
C
=
5
/
9
F
−
5
/
9
(
32
)

you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

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A.195 > 14.1
B.205 < 14.1
C.208 14.1
D.218 - 14.1

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ITS C

Consider the diagram.
Mia plans to build a fence to divide her rectangular
garden into two triangular areas. Use the diagram to
find the length of fence she will need to divide the
garden. Round up to the nearest hundredth.
6m
Mia will need a fence that is

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A swim instructor would like to test the effect of a new swim technique versus the standard technique for a group of 25 competitive swimmers.

The swim instructor divides the students by class (junior or senior), and then randomly allocates half of the 14 juniors and 5 of the 11 seniors to receive instruction on the new technique.

During swim practice, the instructor times the juniors as they race against each other to see if those who learned the new technique outperform their peers. The instructor does the same for the seniors.

At the end of practice, the instructor compares the average swim time for both juniors and seniors among those who did and did not use the new technique.

A) The instructor should place the 25 student names on slips of paper and place them in a hat. Twelve of the slips should be drawn out and those students should receive the instruction on the new technique.

B) The instructor should place the names of the 14 juniors on slips of paper and place them in one hat. The 11 seniors’ names should be placed on slips of paper and placed into a separate hat. The instructor should randomly select 7 juniors and 5 seniors to receive instruction on the new technique.

C) For each student, the instructor should flip a coin. If the coin lands on heads, the student will receive instruction on the new technique. If the coin lands on tails, the student will not receive instruction on the new technique.

D) The students should line up alphabetically and count off by 2s. Every student who gets a 1 will receive instruction on the new technique. Every student who gets a 2 will not receive instruction on the new technique.

Lisa I think we should walk 6 blocks north and 5 blocks west to get to the store Kara says no I think it's shorter if we walk 3 blocks west 4blocks north 2blocks west and then 2 more block north Whose route is the shortest?

Jarvis a 41-year old male, bought a $115,000, 20yr life insurance policy thru his employer. Jarvis is paid weekly. How much is deducted from each of his paychecks for life insurance?

What is the lateral area of the regular pyramid if the area of the square base is 36 square cm and the slant height is 12 cm? options: 168 144 72 298

Simplify 15 Times Square root of 0.16c^12

Write 4/10 and 3/5 as a pair of fractions with common denominator and Write 2/7 and 1/3 as a pair of fractions with common denominator

Math help please I promise to give brainliest

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What is the percent of change from 78 to 100

Find the volume of the irregular
figure.
1 cm
2 cm
? ]cm3
8 cm
1 cm
3 cm
3 cm
5 cm
What is the answer to the question

Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?

a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]

Find the measures of the angles.

Please if you can, explain.​

Alyssa's mother was sick. Alyssa, went to the store and bought 2/10 pound of medicine, then another 1/10 of medicine. What would the answer be when you add them together? Denominator stays the same.

AT HOME / STUDENTS
1. What are the two equations you created?
id to find 2. How did you put the equations into y=mx+b form?
3. Using your calculator, explain the steps that you did to find
the intersection point.
4. What is the answer?

what is the missing blank?

Simplify cot2q + 1.
a.
csc2 q
c.
cot2 q
b.
0
d.
cos2 q


Please select the best answer from the choices provided

A
B
C
D

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Can u answer this? respond please

If you think of the equation as an equation for a line.
=+
y
=
m
x
+
b

where

=5/9(−32)
C
=
5
/
9
(
F
−
32
)

or

=5/9−5/9(32)
C
=
5
/
9
F
−
5
/
9
(
32
)

you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.