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2 years ago

Write a fraction that is equivalent to 3/4 with a denominator of 20

Mathematics

2 answers:

saw5 [17]2 years ago

6 0

Answer:

3 / 4 = 15 / 20

Step-by-step explanation:

I think thats right

Nat2105 [25]2 years ago

4 0

Answer:

15/20

Step-by-step explanation:

1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.

4 x 5 = 20.

2. Multiply the numerator by 5 as well.

15/20

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What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14

GuDViN [60]

The answer is 7 because yeah

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2 years ago

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Mold grows on bread and every day it doubles by the eighth day the entire bread is covered with mold when was half the bread cov

Brut [27]

Answer:

The mold will cover half the area as much are one day before it.

Step-by-step explanation:

Given:

Every day the mold on bread grows doubles

And by 8th day entire bread covered with it.

To Find:

When was half the bread covered by mold.

Solution:

It is said that area covered by mold doubles on each day

Total days taken to cover entire bread are 8

Let Area of bread be A

So Area covered (A) corresponds to 8 days with doubling.

So on previous day it should What ever area on 8th day/2

i.e A(8)/2

Similar on 6th day A(7)/2

So on 5ht day =A(6)/2 ,4th= A(5)/2, on 3rd= A(4)/2, on 2nd=A(3)/2

On 1st =A(2)/2

So we required Area= half of total.

One day before the 8th day will be 7th day

on that day it will cover half are so that on next day will cover the double of the previous area consumed.

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3 years ago

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

Alternative method

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

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2 years ago

Find an equivalent ratio in simplest terms: 12 : 32

jarptica [38.1K]

Answer:

3:8 i think

Step-by-step explanation:

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2 years ago

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Michelle bought a new table that cost $350. The sales tax is 7.5%, how much will the tax increase the cost of the table? *

MissTica

Answer:

$26.25

Step-by-step explanation:

multiply 350 by 0.075

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3 years ago