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Murrr4er [49]
3 years ago
5

There are 30 students in an art class. Fourteen of the students are girls.

Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

Answer: B

Step-by-step explanation: To get the boys part of the ratio you will have to subtract 30 students and 14 students that are girls because all together there are 30 students and since we only know that 14 of them are girls that leaves the rest of the students boys. 30 - 14 = 16  so now we know how many boys there are. 16:14 can be reduced by 2 and that equals to 8:7.

Hope this helps!

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PLEASE HELP ME 100!!! POINTS A conjecture and the flowchart proof used to prove the conjecture are shown.
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Answer:

Add the two angles: 43° + 47° = 90°.

Step-by-step explanation:

A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

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3 years ago
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The correct answer is 4
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3 years ago
A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15
Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

A= P(1+\frac{r}{n})^{nt}

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

A= P(1+\frac{r}{n})^{nt}

1500= 1200(1+\frac{0.02}{4})^{4t}

Dividing both sides by 1200 and solving 0.02/4 = 0.005

1.25= (1+0.005)^{4t}

1.25= (1.005)^{4t}

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years

8 0
4 years ago
Find the distance between the pair of points (18, -18) and (-17, -25)
MakcuM [25]

Answer:

35.6931366

Step-by-step explanation:

distance = to square root of (x2-x1)^2+(y2-y1)^2

substiute  in the equation

so square root of (-17-18)^2+(-25--18)^2

=7square root of 26

or 35.6931366

3 0
3 years ago
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