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Sergeeva-Olga [200]
3 years ago
15

Tonya had her birthday party at the movies.It cost $27 for pizza and $8.50 per friend for the movie tickets. How many friends di

d tonya have at her party if she spent $78
Mathematics
2 answers:
Lunna [17]3 years ago
7 0
She can bring 6 friends to the movies.
docker41 [41]3 years ago
5 0
Tonya had 6 friends, 27$ + 8.50$ x 6 = $78
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drek231 [11]
3:2 is ur answer to this question
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3 years ago
Find the solution set of the following quadratic equations using the quadratic formula.
oksian1 [2.3K]

Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
7 0
3 years ago
The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from
Cerrena [4.2K]

Answer:

Height of flag pole to the nearest foot is 43 feet

Step-by-step explanation:

In the diagram we have flag pole AB and C is the point on the ground.

It is given that angle of depression is 30°

and the distance of the point C from the base B is 75 feet

so we have

BC= 75 feet  

∠C = 30°

AB= h feet

now in right ΔABC

tan C = \frac{opposite \ side }{base} \\tan C=\frac{AB}{BC}

now we plug AB= h , ∠C= 30° and BC =75

tan 30= \frac{h}{75}

75 tan30 = h            ( multiply both sides by 75)

h= 75 tan 30 =75 (0.5773)\\ h= 43.3 feet\\

Height of flag pole to the nearest foot is

h= 43 feet

7 0
4 years ago
Read 2 more answers
Mary works as a gardener. On her last job she charged $60 for plants and $500 for 20 hours of work. The equations represent the
Ymorist [56]

Answer:

  • B. Y = 32x + 35
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Step-by-step explanation:

First find out how much Mary was charging per hour:

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= $25 per hour

She charges $60 for plants.

In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.

Her rate as a linear equation would be:

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Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.

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E. Y = 35x + 30

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zubka84 [21]

Hey there!

- Factor pair basically 2 factors that you multiply the given numbers to each other to get a given product (answer)

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Answers ⬇️

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(SAME thing with 72 • 1 = 72)

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(SAME with 36 • 2 = 72)

▸ 3 • 24 = 72

(SAME with 24 • 3 = 72)

▸ 4 • 18 = 72

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(SAME with 12 • 6 = 72)

▸ 8 • 9 = 72

(SAME with 9 • 8 = 72)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

4 0
3 years ago
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