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seropon [69]
2 years ago
15

Tanvi teaches art lessons at a day camp and needs to get supplies. She purchases 40 Bright Streak paint sets from the Color a sp

lash art store. She uses a coupon she received in the mail for $10 off her purchase. Tanvi spends $310 in all
Mathematics
1 answer:
natima [27]2 years ago
4 0

Answer:

The paint sets cost $8 each.

Step-by-step explanation:

Tanvi pays $310 after getting a $10 discount. Before the disscount her total was $320. 320 divided by 40 sets is $8 per set.

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Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
A road crew took 3 days to pave a road. On the first day they paved 2/5 of the road, and on the second day they 1/3 of the road.
bazaltina [42]

Answer:5625 yards

Step-by-step explanation:

2/5=6/15

1/3=5/15

6/15+5/15=11/15

(15/15)-(11/15)=4/15

1500/4=375

375×15=5625

3 0
3 years ago
Where in the world would we use this number 3.246
Zepler [3.9K]
In math and and other types of school stuff :) if that's what your asked
8 0
3 years ago
How to find vertex form with vertex: (3,6) and y intercept: 2
bekas [8.4K]

Answer:

<h3>              f(x) = - ⁴/₉(x - 3)² + 6</h3>

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

So for vertex (3, 6) it will be:

f(x) = a(x - 3)² + 6

<u>y intercept: 2</u> means  f(0) = 2

f(0) = a(0 - 3)² + 6

2 = a(-3)² + 6

2 -6 = 9a + 6 -6

-4 = 9a

a = ⁻⁴/₉

Therefore:

The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is

                             <u>f(x) = - ⁴/₉(x - 3)² + 6</u>

5 0
3 years ago
The difference between three times a number and 15 is equal to 6. Find the number
andreyandreev [35.5K]
15+6=21
21÷3=7
answer
3×7-15=6
5 0
3 years ago
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