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3 years ago

The difference of two numbers is 491. The smaller of the numbers is 578. What is the other number?

Mathematics

2 answers:

ANTONII [103]3 years ago

6 0

Answer:

1069

Step-by-step explanation:

x-578=491

x=491+578=1069

Nookie1986 [14]3 years ago

4 0

Answer:

1049

Step-by-step explanation:

let the greater no. be x.

Since,the difference of the two numbers has a positive value we must subtract the smaller value from the greater value.So,the eqn becomes

x-578=491

or,x=491+578

therefore,

x=1049

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Of the 345 7th graders, 40% of them<br> are in band. How many 7 graders<br> are in band?

xz_007 [3.2K]

So first you find 10% which is 34.5
Then you multiply 10% by 4 to get 40% which is = 138

3 0

2 years ago

Read 2 more answers

2 Richard and Jason each begin filling pools at the same time.

alina1380 [7]

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x 20 minutes= 120 gallons

For Jason= 2 gallons per minute x 20 =40 gallons

Jason has 200 gallons already in the tank

So it will become = 200+24=240 gallons.

Hence quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

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7 0

2 years ago

a town has 2 fire engines operating independently . the probability that a specific engine is available when needed is 0.96. wha

tester [92]

Answer:

The probability that neither is available when needed

$P(A n B)^{c} = 0.04$

Step-by-step explanation:

A town has 2 fire engines operating independently

Given data the probability that a specific engine is available when needed is 0.96.

Let A and B are the two events of two fire engines

given P(A and B) = 0.96 ( given two engines are independent events so you have to select A and B)

Independent events : P( A n B) = P(A) P(B)

The probability that neither is available when needed

$P(A n B)^{c} = 1- P(A n B)$

$P(A n B)^{c} = 1- 0.96 = 0.04$

7 0

3 years ago

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Dir

Olegator [25]

Answer:

A. The difference in height between the pelican and the heron is -33 feet.

E. The difference in height between the pelican and the trout is 40 feet.

F. The distance between the heights of the pelican and the trout is 40 feet.

Step-by-step explanation:

<h3> The missing statements are:</h3><h3> A. The difference in height between the pelican and the heron is -33 feet</h3><h3> B. The difference in height between the pelican and the heron is 33 feet</h3><h3> C. The distance between the heights of the pelican and heron is -33 feet</h3><h3> D. The difference in height between the pelican and the trout is -40 feet</h3><h3> E. The difference in height between the pelican and the trout is 40 feet</h3><h3> F. The distance between the heights of the pelican and the trout is 40 feet.</h3><h3 />

Let be 0 the sea level.

Since the heron is perched in a tree 50 feet above sea level and directly below the heron the pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.

Then, you get that this is:

$17\ feet-50\ feet=-33\ feet$

Now, according the the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is:

$-23$

Therefore you can find the difference in height between the pelican and the trout through the following subtraction:

$17\ feet-(-23\ feet)=17\ feet+23\ feet=40\ feet$

And the distance between them is 40 feet too.

8 0

3 years ago

Please help with algebra problem

kumpel [21]

Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400

Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243

6 0

3 years ago