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3 years ago

If

Mathematics

1 answer:

Semenov [28]3 years ago

8 0

Answer:

- 12

Step-by-step explanation:

(m - n)² = 1

m² + n² = 13

m² - 2mn + n² = 1

( m² + n² ) - 2mn = 1

13 - 2mn = 1

- 2mn = 1 - 13

- 2mn = - 12

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Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bi

Oliga [24]

Answer:

$199.89

Step-by-step explanation:

The bike costs 266.52

The parents are contributing one fourth of this (1/4)

We need to find 1/4th of 266.52

Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike

The answer is 66.63

Now subtract 66.63 from 266.52

Justin has to pay a total of 199.89

5 0

2 years ago

Ashley wants to pour 15.82 grams of salt into a container. So far, she has poured 13.87 grams. How much more salt should Ashley

erik [133]

Answer:

1.95

Step-by-step explanation:

Basically, you subtract: 5.82 - 13.87 = 1.95

Then, see: 15.82 - 1.950 = 13.87

Then you have your answer :D

Ashley has to pour 1.95 more grams of salt.

Brainliest, please??? :>

3 0

2 years ago

Read 2 more answers

Two cars depart an intersection.

patriot [66]

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

$d^2 = 45^2 + 45^2$

$d = \sqrt{45^2 + 45^2}$

$d = 63.64$

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

4 0

3 years ago

Can anyone help me with these questions plz

KonstantinChe [14]

Answers:

7: 20 miles

8: 28 miles

9: 1 error

10: Their speed is 50

11: 365 words in 5 mins

Step-by-step explanation:

#7 and #8

Our equation is: $f=2.25+0.20(m-1)$ With f meaning "fare" (price) and m meaning "miles".

Question 7 - Juan's fare for his ride costs $6.05. We must solve for $m$ .

Step 1. Substitute - Substitute the fare for $f$ in the equation.

$6.05=2.25+0.20(m-1)$

Step 2. Simplify/Solve - Solve for $m$ .

$6.05=2.25+0.20(m-1)$

- Distribute

$6.05=2.25+0.2m-0.2$

- Subtract 0.2 from 2.25

$6.05=2.05+0.2m$

- Subtract -2.05 from 6.05

$4=0.2m$

- Divide both sides by 0.2

$20=m$

And you have your answer of 20 miles.

Question 8 - Same equation, different fare.

Step 1. Substitute

$7.65=2.25+0.20(m-1)$

Step 2. Solve

$7.65=2.25+0.20(m-1)\\7.65=2.25+0.20m-0.20\\7.65=2.05+0.20m\\5.6=0.20m\\28=m$

And like so, we have $m = 28$

Questions 9 - 11

The equation given is $S=\frac{1}{5} (w-10e)$ . S = typing speed, w = words per 5 mins, and e= errors.

Question 9 -

We are given this information: S = 55, W = 285. We are solving for e.

Substitute -

$55=\frac{1}{5} (285 -10e)$

Solve -

$55=\frac{1}{5} (285 -10e)\\55=\frac{1}{5} (285 -10e)\\55= 57-2e\\-2=-2e\\1=e$

So they would make 1 error.

Question 10 -

Information given: 300 = w, 5=e. We are solving for S

Substitute -

$S= \frac{1}{5} (300-10(5))$

Solve -

$S= \frac{1}{5} (300-10(5))\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (250)\\S= 50$

Their speed is 50.

Question 11 -

Information given: S = 65, e = 4. We are solving for w.

Substitute -

$65=\frac{1}{5} (w-10(4))$

Solve -

$65=\frac{1}{5} (w-10(4))\\65=\frac{1}{5} (w-40)\\65=\frac{1}{5}w-8\\73=\frac{1}{5}w\\365=w$

So w = 365.

Hoped this helped!~

7 0

3 years ago

Find an equation of the circle tangent to the lines x=1, x=9, y=0

Karolina [17]

Answer:

(x − 5)² + (y − 4)² = 4²

(x − 5)² + (y + 4)² = 4²

Step-by-step explanation:

x=1 and x=9 are vertical lines. If both are tangent to the circle, then the circle has a diameter of 8, or a radius of 4, and the center of the circle is on the line x=5.

y=0 is the x-axis. Since the circle is tangent to that, the center of the circle is either 4 units above the x-axis or 4 units below.

So two possible equations of the circle are:

(x − 5)² + (y − 4)² = 4²

(x − 5)² + (y + 4)² = 4²

Here's a graph: desmos.com/calculator/9e4lxx731u

5 0

3 years ago

Read 2 more answers