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2 years ago

15

flora went trick or treating and got a total of 95 candies. She had 21 more hard candies than chocolates and twice as many gummy

bear candies than hard candies. How many hard candies did she get?

1 answer:

Troyanec [42]2 years ago

5 0

I believe she has 42 hard candies. I'm not too sure.

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Add x^3 - 4x^2 + 1 to 3x^2 + x <br> Show Your work!

Sladkaya [172]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

$\qquad \sf \dashrightarrow \: (x {}^{3} - 4x {}^{2} + 1) + (3 {x}^{2} + x)$

$\qquad \sf \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 1 + 3 {x}^{2} + x$

$\qquad \sf \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 3x {}^{2} + x + 1$

$\qquad \sf \dashrightarrow \: {x}^{3} - {x}^{2} + x + 1$

6 0

2 years ago

Brice has $1200 in the bank. He wants to save a total of $3000 by depositing $40 per week from his paycheck. Write and use an eq

Anon25 [30]

$$3000-$1200=$1800

take $1800÷$40=45

<h3>answ=45 weeks</h3>

6 0

2 years ago

A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

2 years ago

How is the graph of y=x^2 different from the graph of y=x^2-2

Zinaida [17]

It is two units shifted downwards. you can see it by substituting x=0 for both equations

5 0

3 years ago

F(x)=2x+5 find f(-6)

ser-zykov [4K]

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

4 0

2 years ago