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pochemuha
3 years ago
11

Jacob bout 5 ounces of caramel candies for $2.75. Find the unit price

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0
In ordr to find the unit price, you must divide $2.75 by 5. You should end up with $0.55. Jacob spent $0.55 on each caramel candy.
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What is the equation of a line that is perpendicular to y=-5x+11 and passes through the point (3,3)?
son4ous [18]

Answer:

y=\frac{1}{5}x+\frac{12}{5}

Step-by-step explanation:

The slope of a line that is perpendicular to another will have an opposite-reciprocal slope. So, if the slope was -2, then the perpendicular slope would be \frac{1}{2} .

y=-5x+11

This is written in slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Find the opposite-reciprocal of the slope, -5:

y=\frac{1}{5} x+b

Now we need to find the y-intercept. For this, substitute the given points for its appropriate value:

(3_{x},3_{y})\\\\3=\frac{1}{5}(3)+b

Solve for b:

Simplify multiplication:

\frac{1}{5}*\frac{3}{1}=\frac{3}{5}

Insert:

3=\frac{3}{5}+b

Subtract b from both sides:

3-b=\frac{3}{5}+b-b\\\\3-b=\frac{3}{5}

Subtract 3 from both sides:

3-3-b=\frac{3}{5}-3\\\\-b=\frac{3}{5}-3

Simplify subtraction:

\frac{3}{5}-3\\\\\frac{3}{5}-\frac{3}{1}\\\\\frac{3}{5}-\frac{15}{5}=-\frac{12}{5}

Insert:

-b=-\frac{12}{5}

Multiply both sides by - 1 to simplify b (it can be seen as -1b):

-b*(-1)=-\frac{12}{5}*(-1)\\\\b=\frac{12}{5}

Insert:

y=\frac{1}{5}x+\frac{12}{5}

:Done

6 0
3 years ago
One leg of a right triangle measures 10 inches while the other leg measures sqrt(21) Inches . What is the length of hypotenuse ?
Sveta_85 [38]

Answer:

\sqrt{541} \\=x

Step-by-step explanation:

10^2+21^2=x^2]

100+441=x^2

541=x^2

\sqrt{541} \\=x

4 0
3 years ago
Read 2 more answers
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
kkurt [141]

Answer:

She will have 142 watermelons

Step-by-step explanation:

First let's put our ratio

10 : 71

Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

20 \div 10

which equals 2

To find our water melon we will multiply it by 2

71 \times 2

which equals 142

She will have 142 watermelons

7 0
3 years ago
What are the next three numbers in this pattern? 11, 22, 12, 23, . . .
liq [111]

Answer:

13 , 24 , 14

Step-by-step explanation:

Note that technically there are two patterns. Each one adds 1.

The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.

The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.

~

4 0
3 years ago
Read 2 more answers
Plz help I’ll mark you
timurjin [86]

Answer:

A 1/2

Step-by-step explanation:

Ratio of short length to hypotenuse

= cos60

= 1/2

4 0
3 years ago
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