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sertanlavr [38]
3 years ago
7

The drill team at Hill Middle School made 120 spirit pins to sell for a fundraiser. After the fundraiser, the team had 18 pins l

eft. What percent of the pins did the team sell?
a. 15% b. 82% c. 18% d. 85%

Arline companies de ice their planes with glycol. a compound that has a freezing point 80 degrees F lower than the freezing point of water. The freezing point of water is 32 degrees F. What is the freezing point of glycol in Fahrenheit?
Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

no 1) is 85%

no 2) is 32 - 80 = -48

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1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method
solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

\rm y  = \dfrac{-3}{2} (x)\\\\y = -1.5x

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

\rm y = \dfrac{2}{3} x + c

Then this line also passes through a point (2, -3). Then the value of c will be

\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \  = -13

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0
1 year ago
tony buy 3 packages of gum. each package has 5 packs of gum.each pack of gumhas 10 pieces in it how many pieces of gum are in al
marin [14]
1 pack has 5 seperate packs, each with 10 pieces
=>50 pieces
50*3=150 pieces of gum
5 0
3 years ago
A carpenter wants to cut a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board? The ca
yawa3891 [41]
<h3>Answer:</h3>
  • 8 pieces
  • 3/8 foot
<h3>Explanation:</h3>

a) Let n represent the number of 1 7/8 ft pieces. Then we have ...

... 16 1/2 ft = n × (1 7/8 ft)

We can find n by dividing this equation by 1 7/8.

... (16 1/2)/(1 7/8) = n = (132/8)/(15/8) = 132/15

... n = 8 12/15 = 8 4/5

The integer number of pieces that can be cut is 8 pieces.

b) The length of the left-over piece is 4/5 of the full length of a piece, so is ...

... (4/5) × (15/8 ft) = 12/8 ft

We want to divide this into 4 equal lengths, so each of those lengths will be 1/4 of the length of the left-over:

... (1/4) × (12/8 ft) = 3/8 ft

_____

<em>Comment on arithmetic with fractions</em>

This problem is easier if you <em>convert the mixed numbers to improper fractions</em>. This is done by expressing the integer as a number of fractional parts, then adding the fraction part of the mixed number:

... a + b/c = (a×c/c) + b/c = (ac +b)/c

Division with fractions is taught a couple of different ways. One way you can do it is to "invert and multiply". That is, you multiply the numerator fraction by the reciprocal of the denominator fraction:

... (a/b)/(c/d) = (a/b)×(d/c)

Another way you can do the division is to express each of the numerator and denominator fractions over the same denominator. Then the quotient is the ratio of numerators.

... (a/c)/(b/c) = a/b

This is the method we used here. Effectively, we converted 16 1/2 to 16 4/8 then to (16×8 +4)/8 = 132/8. Then the numerator and denominator fractions both had denominators of 8, so (132/8)/(15/8) = 132/15. This fraction can be reduced by removing a factor of 3 from numerator and denominator to give ...

... 132/15 = 44/5 = 8 4/5

7 0
2 years ago
A student wants to estimate the mean score of all college students for a particular exam. First use the range rule of thumb to m
Wewaii [24]

Answer:

See explanation below

<u>Step-by-step explanation:</u>

range = 2200 - 300 = 1900

To find standard deviation, we have:

standard deviation = range/4 = \frac{1900}{4} = 475

The range rule of thumb estimate for the standard deviation is 475

Given:

Standard deviation,\sigma = 475

Margin of Error, ME = 100

\alpha = 1 - 0.90 = 0.10

Za/2 = Z0.05 = 1.64

Find sample size, n:

n ≥ [Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2

n ≥ [1.64 * (\frac{475}{100})]^2

n ≥ 60.68

≈ 61

Minimun sample size,n = 61

5 0
3 years ago
The angle bisectors of AXYZ are XG, YG, and ZG. They meet at a single point G.
Harrizon [31]

Answer:

m∠FXD = 36°

EG = 10

m∠FZG = 24°

Step-by-step explanation:

In triangle XYZ, G is the incenter of the triangle.

Since, m∠FXG = 18°

And m∠FXD = 2(m∠FXG)

                     = 2 × 18°

                     = 36°

Since, point G is equidistant from all sides (Property of incenter of a triangle)

Therefore, DG = EG = GF = 10

Since, m∠X + m∠Y + m∠Z = 180°

2(m∠FXG) + m∠DYE + 2(m∠FZG) = 180°

2(18)° + 96° + 2(m∠FZG) = 180°

2(m∠FZG) = 180° - 132°

m∠FZG = 24°

3 0
3 years ago
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