Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]-3x--3+8x-24=6x+7-5x[/tex]

Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:

[tex]-3x+3+8x-24=6x+7-5x[/tex]

Add up similar terms:

[tex]5x-21=x+7[/tex]

Add 21 to both sides:

[tex]5x-21+21=x+7+21[/tex]

[tex]5x=x+28[/tex]

Subtract x from both sides:

[tex]5x-x=x+28-x[/tex]

[tex]4x=28[/tex]

Divide both sides by 4:

[tex]\frac{4x}{x} =\frac{28}{4}[/tex]

[tex]x=7[/tex]

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

Answer:

1390

Step-by-step explanation:

1400- 500= 900 (loaned → deduction→ meaning subtraction)

900- 310 = 590 (spent→ deduction→ meaning subtraction)

590 + 800 = 1390 (received→ gained→ addition)

Answer:

The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan

Step-by-step explanation:

From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.

Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.

Therefore, the length of the candles at 11:00PM will be:

= 8 - (3/4 × 6)

= 8 - 4.5

= 3.5

In conclusion, the correct option is 3.5 inches tall.

Read related link on:

https://brainly.com/question/25711376

Answer: 3.5

just did it

Step-by-step explanation:

Answer:

Rate of change is 15/2

Step-by-step explanation:

Rate of change is the same as slope of a line.

( y1 - y2 ) / ( x1 - x2 )

( 30 - 15 ) / ( 4 - 2 )

15 / 2

Hopefully this helps!

Brainliest please?

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

RQ = QT + RT

Therefore;

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/4268470

Answer:

Step-by-step explanation:

(9-10)/(-6 - - 9) = -1/3

Answer:

You're correct

Step-by-step explanation:

Basically, just add the answers with the given 67° until you get 180°

Answer:

b; |-4|<|-5|

Step-by-step explanation:

Absolute value is the distance from zero, so the absolute value of -5 is greater than the the absolute value of -4.

[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]

[tex]\\ \sf\longmapsto XY=2+a[/tex]

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

what is this how so i do this

Answer:

X is 38, y is 27.

Step-by-step explanation:

This is because you are subtracting on the 90 degree angles.

Answer:

The answer is 27 degrees for x, and 38 degrees for y.

Step-by-step explanation:

There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.

Answer:

Step-by-step explanation:

Area = x² - 80x + 1500

        = x²  -30x - 50x + 1500

       = x(x - 30) - 50(x - 30)

        = (x -30) (x - 50)

Length =(x -50) ft

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

Answer: b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The shading is above the line, so it must be ≥ or >.

The line is solid, so it must be ≥.

The only choice with ≥ is the answer.

Answer: B.

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

Answer:

Answer:

the probability will be 18.18%

Step-by-step explanation:

12.5÷100 × 5

=0.125×5

=0.625

Answer:

34

Step-by-step explanation:

Answer:

Initial velocity = 25 m/s

Final velocity = 0 m/s

Step-by-step explanation:

    Initial velocity is the speed in the beginning and final velocity is the speed in the end.

    The problem says the car was traveling at 25 m/s, so that is the initial velocity. The end of the problem states the car came to a complete stop after 3 seconds. Therefore, the final velocity is 0 m/s.

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.