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2 years ago

Translate this sentence into an equation. 48 is the product of Greg’s score and 3. Use the variable g to represent Greg’s score

Mathematics

1 answer:

ratelena [41]2 years ago

6 0

Answer:

G x 3 = 48

Step-by-step explanation:

let G be Greg's score

And product means multiplication.

so G x 3 = 48.

finding Greg's score means 3g = 48.

g = 48/3

g = 16.

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The area of a circle having radius 14 cm is cm. Use * 22 7

DaniilM [7]

Answer:

A=616cm²

Step-by-step explanation:

The question says to use

$\frac{22}{7}$

for pi, now that we know that we proceed like normal and do the formula like this.

$\frac{22}{7} {r}^{2} \\\frac{22}{7} \times 196 \\ = 616$

6 0

3 years ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

HELLLLLLLLLLLPPPPPPPPPP

natka813 [3]

Answer
y = 4x + 4

slope: (36-16)/(8-3)=4
intercept: 16=3(4)+b -> b=4

7 0

2 years ago

Write your answer as a decimal or whole number. ___% of $75=$42

Basile [38]

Answer:

x=56

Step-by-step explanation:

$\frac{x}{100}$ · $\frac{42}{75}$

then cross multiply

4200=75x

x=56

3 0

3 years ago

There are 12 inches in 1 foot and 5,280 feet in 1 mile. Jada ran 34 miles.

zvonat [6]

For this case we must convert 34 miles to feet and inches.

34 miles to feet:

$34 miles * \frac {5280} {1} * \frac {feet} {miles} = 179,520 feet$

Jada runs 179,520 feet

34 miles to inches:

$34 miles * \frac {5280} {1} * \frac {feet} {miles} * \frac {12} {1} * \frac {inches} {foot} = 2,154,240 inches$

Jada runs 2,154,240 inches

Answer:

Jada ran 179,520 feet

Jada ran 2,154,240 inches

3 0

2 years ago