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1 year ago

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Problem 17 Mrs. Casey, a sixth grade math teacher, ordered one package of pencils for each of her 92 students Each package conta

ined a dozen pencils. How many pencils did Mrs. Casey order?

1 answer:

Semmy [17]1 year ago

4 0

Answer:

1104

Step-by-step explanation:

1 package had 12 pencils

thus, 92 packages will have = (92*12) = 1104 pencils

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What is 5 divided by 25

disa [49]

Answer:

0.2

Step-by-step explanation:

5 0

2 years ago

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One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the

Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables. Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68. Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0

2 years ago

2^-5/2^-6 PLEASE HELP <br> NO LINKS

emmasim [6.3K]

The answer is 1

explanation:
when dividing exponents you have to subtract them, -5 - (-6) is 1.
2 divided by 2 is 1 so, therefore the answer is 1.

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2 years ago

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Consider the following functions.G(x) = 4x2; f(x) = 8x(a)

noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form $4x^2+C$ is an antiderivative of 8x

Step-by-step explanation:

A function <em>F </em>is an antiderivative of the function <em>f</em> if

$F'(x)=f(x)$

for all x in the domain of <em>f.</em>

(a) If $f(x) = 8x$ , then $G(x)=4x^2$ is an antiderivative of <em>f </em>because

$G'(x)=8x=f(x)$

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.

(b) Because

$\frac{d}{dx}(4x^2)=8x$

then $G(x)=4x^2$ is an antiderivative of $f(x) = 8x$ . Therefore, every antiderivative of 8x is of the form $4x^2+C$ for some constant C, and every function of the form $4x^2+C$ is an antiderivative of 8x.

8 0

3 years ago

Steve uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 6.436 kilometers.

8_murik_8 [283]

Steve ran 4 miles.

Step-by-step explanation:

Given,

Distance = 6.436 kilometers

According to given statement;

1 mile = 1.609 kilometers

Therefore,

Distance in miles = $\frac{Distance\ in\ kilometers}{1.609}$

$Distance in miles =\frac{6.436}{1.609}\\Distance = 4\ Miles$

Steve ran 4 miles.

Keywords: Distance, Division.

Learn more about division at:

#LearnwithBrainly

4 0

3 years ago