1. A log is to be cut into two pieces so that one piece is 150 cm longer than the other. If the log is 400 cm long in total, how long will each piece be?

2. The sum of three consecutive numbers is 243. What are the three numbers?

3. A 50 m cable is cut into three sections. Two sections are the same length and the third section is 2 m longer than the other two. Find the length of each section.

Answer:

the answer is C

Step-by-step explanation:

hope this helps

Answer:

4 feet

Step-by-step explanation:

Because if she used 1 feet of ribbon for 3 bows you need to multiply by 4 to 1 foot and you will get 12 bows

Answer:

4 feet of ribbon

Step-by-step explanation:

Because she uses 1 feet of ribbon for each 3 bows, we can create a fraction.

1 ft / 3 bows = x ft / 12 bows

Cross multiplying, we get: 3x = 12

Divide by 3 and we get x = 4 (x in this case is in feet)

Answer:

98275

Step-by-step explanation:

5=6

Given:

The relation is

[tex]M = \{ (15k+9, 4), (3\cdot (4k-1), 6) \}[/tex]

To find:

The value of k for which the relation is not a function.

Solution:

A relation is a function if their exist a unique output or y value for each input or x values.

A relation is not a function if it has two y-values for single x value.

So, the given relation is not a function if x-coordinates of both ordered pairs are equal.

[tex]15k+9=3\cdot (4k-1)[/tex]

[tex]15k+9=12k-3[/tex]

Isolate variable terms.

[tex]15k-12k=-9-3[/tex]

[tex]3k=-12[/tex]

Divide both sides by 3.

[tex]k=-4[/tex]

Therefore, the given relation is not a function for k=-4.

Answer: B

Step-by-step explanation: when you put a + and - together you get a -, so the equation turn into -40-15 which equals -55, so the answe is B

Question: After watching some fish 40 feet below the surface of the water, a scuba diver went up 15 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water surface.

Answer:

C. -40+15 = -25

Step-by-step explanation:

The diver went down 40 feet underneath the surface, so that would be -40. When the diver went up 15 feet, that would be adding -40 to 15. So, the diver would be going closer to the surface after coming up 15 feet. -40+15 = -25

I really hope this helps!!! Have an amazing day :3

• Answer:

99

• Step-by-step explanation:

Hi there !

use formula a² - b² = (a-b)(a+b)

18² - 15² =

= (18 - 15)(18 + 15)

= 3×33

= 99

Good luck !

Answer:

the shape has 2 lines of symmetry

Answer: D

Step-by-step explanation:

y = x + 6 is a straight increasing line that intercepts the y axis at 6. x <= 1 indicated the closed circle and the left of that graph.

y = x^2 + 3 is an upward facing parabola where the minimum is 3. The x > 1 indicates the open circle and the right of that graph.

D shows the correct functions graphed

Answer: 7 = 2/3 + (-24/6)

Answer:

y=8.35

Step-by-step explanation:

if substituted for y

8.35/2.7 is 3.0925

which IS less than or equal to 3.5

Given:

A rectangular rug in her living room that is 6 feet wide and 8 feet long.

She orders a new one that covers twice as much area.

New rug is 1.5 times as wide as the original rug.

To find:

The length of new rug.

Solution:

We have,

Length of rug = 8 feet

Width of rug = 6 feet

Area of rug is

[tex]Area=length \times width[/tex]

[tex]A_1=8 \times 6[/tex]

[tex]A_1=48\text{ sq. feet}[/tex]

Area of new rug is twice of area of original rug.

[tex]A_2=2\times A_1[/tex]

[tex]A_2=2\times 48[/tex]

[tex]A_2=96\text{ sq. feet}[/tex]

New rug is 1.5 times as wide as the original rug.

Width of new rug = 1.5 × 6 = 9 feet

Let the length of new rug be x feets. So, area of new rug is

[tex]A_2=x\times 9[/tex]

[tex]96=x\times 9[/tex]

Divide both sides by 9.

[tex]\dfrac{96}{9}=x[/tex]

[tex]\dfrac{32}{3}=x[/tex]

[tex]x=\approx 10.67\text{ feet}[/tex]

Therefore, the length of new rug is about 10.67 feet.

Answer:

41.94

Step-by-step explanation:

12 divided by 2 is 6 and six times 6.99 gets you your answer of 41.94

Answer:

$72.00

Step-by-step explanation:

Lets round $6.99 to $7.00. Now we have an easier number to work with.

To find the total price of 12 , we need to multiply $7.00 by 12.

⇒ $7.00 x 12 = $84.00

Since we added 1 cent to $6.99 and multiplied by 12, we need to sutract 1 times 12.

1 x 12 = 12

$84 - $12 = $72.00

Answer:B

Step-by-step explanation:

I HAVE GOT YOU!

Answer:

x=5

Step-by-step explanation:

4x-3 = 2x+7.​

Subtract 2x from each side

4x-2x-3 = 2x-2x+7.​

2x-3 = 7

Add 3 to each side

2x-3+3 = 7+3

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

Answer:

x=5

Step-by-step explanation:

4x -3 = 2x +7

Let's start by getting the 2x away from the seven. Subtract the 2x from itself and from 4x. We will subtract 2 because a negative will cancel out the positive.

2x -3 = +7

Now let's get the -3 away from 2x. Add 3 to the -3 and the +7. We will add because a positive will cancel out the negative.

2x = +10

Then divide +10 by 2 to get the final answer.

Answer:

Boys x 2 = Girls

Step-by-step explanation:

If there are twice as many girls in school as boys than take the number of boys and multiply that by 2. For example if there are 400 boys in school and there are twice as many girs your equation would, 400 x 2 = 800 girls.

Answer:

21.3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

5 months

Step-by-step explanation:

Make the question into an equation where the cost of one gym equal to the cost for the other.

60x = 100 + 40x

x represents how many months

20x = 100

x = 5

It would take 5 months of membership for the costs to be the same.

The answer is 5 months.

The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.

To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.

Let the number of months taken be 'x'

SO the community fitness takes 60x money for x months

The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.

so equating the equation to find the value of x.

100+40x = 60x

Transposing 40x from LHS to RHS

100=60x-40x

20x = 100

Dividing the equation by 20 on both sides

x = 5

The membership costs will equal in 5 months.

Learn more about Linear equations here

https://brainly.com/question/24794429

#SPJ2

[tex]a {y}^{2} + by + c = 0 [/tex]

[tex]3 {y}^{2} + 8y + 2 = 0 [/tex]

[tex]a = 3[/tex]

[tex]b = 8[/tex]

[tex]c = 2[/tex]

_________________________________

[tex]∆ = {b}^{2} - 4ac [/tex]

[tex]∆ = ({8})^{2} - 4 \times (3) \times (2) [/tex]

[tex]∆ = 64 - 24[/tex]

[tex]∆ = 40[/tex]

_________________________________

[tex]y = \frac{ -b ± \sqrt{∆} }{2a} \\ [/tex]

##############################

[tex]y(1) = \frac{ - 8 + \sqrt{40} }{6} \\ [/tex]

[tex]y(1) = \frac{ - 8 + \sqrt{4 \times 10} }{6} \\ [/tex]

[tex]y(1) = \frac{ - 8 + 2 \sqrt{10} }{6} \\ [/tex]

[tex]y(1) = \frac{2( - 4 + \sqrt{10}) }{2 \times 3} \\ [/tex]

[tex]y(1) = \frac{ - 4 + \sqrt{10} }{3} \\ [/tex]

+++++++++++++++++++++++++++++++++++++++

[tex]y(2) = \frac{ - 8 - \sqrt{40} }{6} \\ [/tex]

[tex]y(2) = \frac{ - 8 - \sqrt{4 \times 10} }{6} \\ [/tex]

[tex]y(2) = \frac{ - 8 - 2 \sqrt{10} }{6} \\ [/tex]

[tex]y(2) = \frac{2( - 4 - \sqrt{10}) }{2 \times 3} \\ [/tex]

[tex]y(2) = \frac{ - 4 - \sqrt{10} }{3} \\ [/tex]

##############################

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

A. x=35

B. C= 59 degrees

Step-by-step explanation:

Since both angles have the same measurement you set them equal to each other as so & solve for x

3x+16=5x-54

16=2x-54

70=2x

x=35

Now we plug 35 into one of the equations

3(35) + 16

105+ 16 = 121 degrees

Since angle C is a supplementary angles you do 180-121= 59 degrees

Answer:

Hi friend! The answer is D. 10

I hope this helps!

Answer:

B) 10

Step-by-step explanation:

Assign variables to each person:

A=Alina's Age

M=Amy's Age

G=Greg's Age

Set up a system of equations given the information:

A=6+G

M=2.5A

M=40

Notice that M is already given, so we can plug that into the second equation:

40=2.5A

16=A

So Alina is 16 years old, but the problem asks for Greg's age, so we plug Alina's age in the first equation:

16=6+G

10=G

So Greg is 10 years old, therefore B is the correct answer.

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

3x3(2+3) =

3x3(2+3) =3x 3(5) = 3x15 =

45

45x4 = 180

Answer:

(2x-3)(x+3)

Step-by-step explanation:

The factors of the expression are (2x-3) and (x+3).

Answer:

great

Step-by-step explanation:

Answer:

0.75 words :1 second

Step-by-step explanation:

You use the rule of three

45words/60 seconds = ?words/1 second

?= 45x1÷60

?=45÷60

?= 0.75 words/ second

Answer:

The whole numbers = positive integers + 0

{11,12,13,14}

Answer:

100W

Step-by-step explanation:

Power = Work done / time

Work done = force × distance

given,

Work = 50 × 10

Work = 500J

Power = 500 / 5

Power = 100W

Answer:

Its 8

Step-by-step explanation:

This is the highest peak

Answer:

5a.

Step-by-step explanation:

The HCF is short for Highest Common Factor.

Write the 2 expressions in factor form:

5a = 5 * a

15a = 5 * 3 + a

Note that 5 and a are common to both sets of factors, so the HCF = 5a.