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AVprozaik [17]
3 years ago
13

Mr.mathis owes $269 on a auto loan. write an integer to represent this situation

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
He has -269 dollars available, symbolizing he is in debt.
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An electrician cuts a 136 ft long piece of cable. One piece is 16 feet less than 3 times the length of the other piece. Find the
Romashka [77]
X + y = 136
x = 3y - 16

3y - 16 + y = 136
4y - 16 = 136
4y = 136 + 16
4y = 152
y = 152/4
y = 38

x = 3y - 16
x = 3(38) - 16
x = 114 - 16
x = 98

the larger piece (x) = 98 ft and the smaller piece (y) = 38 ft
8 0
3 years ago
Read 2 more answers
11. Pete's Pastries sells cupcakes in packs of
jeka94

Answer:

102 and 103

Step-by-step explanation:

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3 years ago
Solve each triangle. Round your answers to the nearest tenth.<br>show work If possible ​
kvasek [131]
<h2>Answer:</h2>

∠ABC = 76°

BC = 20.1

CA = 28.0

<h2>Step-by-step explanation:</h2>

Solving the triangle means finding all unknown angles and sides of the triangle.

(i) Two of the angles (∠BCA = 60° and ∠CAB  = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating <em>that the sum of angles of a triangle is equal to 180°.</em>

Therefore, the sum of angles of the triangle ABC is 180°. i.e

∠ABC + ∠BCA + ∠CAB = 180°

=> ∠ABC + 60° + 44° = 180°

=> ∠ABC + 104° = 180°

=> ∠ABC = 180° - 104°

=> ∠ABC = 76°

(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;

=> \frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}

=> \frac{sinBCA}{BA} = \frac{sinCAB}{BC} = \frac{sinABC}{CA}

<em>Substitute the necessary values</em>

\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}      ---------------------(ii)

(a) To get side BC, use the first two terms of equation (ii)

\frac{sin60}{25} = \frac{sin44}{BC}

<em>Cross multiply</em>

BC x sin 60 = 25 x sin 44

BC x 0.8660 = 25 x 0.6947

0.8660 x BC = 17.3675

BC = \frac{17.3675}{0.8660}

BC = 20.05

=> BC = 20.1 to the nearest tenth

(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;

\frac{sin60}{25} = \frac{sin76}{CA}

<em>Cross multiply</em>

CA x sin 60 = 25 x sin 76

CA x 0.8660 = 25 x 0.9703

0.8660 x CA = 24.2575

CA = \frac{24.2575}{0.8660}

CA = 28.01

=> CA = 28.0 to the nearest tenth

5 0
3 years ago
Which graph represents the equation y=34x−3 ? I NEED HELP FAST PLEASE
Flura [38]

Shown below

<h2>Explanation:</h2>

Here we have a line given by the equation:

y=\frac{3}{4}x-3

This line is given in Slope-intercept form, recall that this form is as follows:

y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept

So in this case:

m=\frac{3}{4} \\ \\ b=-3

So a point that lies on the line is:

(0,-3)

Another point would be:

For \ x=8 \\ \\ y=\frac{3}{4}(8)-3 \\ \\ y=6-3 \\ \\ y=3 \\ \\ (8,3)

So the line must pass through these two points. By using graphing tool we get the line shown below.

<h2>Learn more:</h2>

Matching graph with equations: brainly.com/question/13015874

#LearnWithBrainly

5 0
3 years ago
24 girls are trying out for 12 spots on the cheerleading team. If you want to determine how many different groups of 12 girls ca
g100num [7]
I think permutation is the answer
5 0
3 years ago
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