Solve the system using elimination.
X + 7y = 25
2x - 7y = -13

Answer:

306

Step-by-step explanation:

There are 102 triangles, a triangle has 3 sides, each side is 1 cm. 102 x 3=306

Answer:

1 inch:2 feet

Step-by-step explanation:

Answer:

15 questions

Step-by-step explanation:

If Sammy got 80%, we can see that 12/15=0.8, and 0.8 as a percentage is 80%.

Hope it helps!!

Answer:

x=256

Step-by-step explanation:

Answer:

x=256

Step-by-step explanation:

Answer:

[tex]\tt volume=\boxed{6}\: units^3[/tex]

Step-by-step explanation:

[tex]\tt volume=(\frac{9}{2})(\frac{4}{3} )[/tex]

[tex]\tt volume=\frac{36}{6}[/tex]

[tex]\tt volume=6[/tex]

~

Answer:

Step-by-step explanation:

-20d + 12

4(d + 9) - 8(-3d - 3)

4d + 36 - 24d - 24

4d - 24d + 36 - 24

-20d + 12

Answer:

By Sunday evening the temperature would be 92 degrees

Step-by-step explanation:

Find 130% of 40

40 × 1.3 = 52

Add the product to your original temperature (40)

40 + 52 = 92

Answer:

t=V‒x/a

Step-by-step explanation:

V=x+at (add ‒x in both side)

V‒x=x+at‒x

V‒x=at

V‒x/a=at/a

V‒x/a=t

so the formula is t=V‒x/a

Answer: The volume is equal to 1922.65.

Step-by-step explanation:

Diameter is 12 ft, height is 17 ft.

V = πr2h

V = πr2h = π·62·17≈ 1922.65

The volume of the tank is approximately 1814 cubic feet.

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, h is the height, and π is a constant equal to approximately 3.14.

We are given the diameter of the tank, which is 12 feet.

The radius is half the diameter, so:

r = 12/2 = 6 feet

We are also given the height of the tank, which is 17 feet.

Substituting these values into the formula, we get:

V = πr²h

V = 3.14 × 6² × 17

V ≈ 1814

Therefore,

The volume of the tank is approximately 1814 cubic feet.

Learn more about cylinder here:

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Answer:

the interest rate should be 14%

We know that:

This means that:

Step-by step calculations:

Open the parenthesis:

Combine like terms:

Simplify the LHS:

Add 3 both sides:

Divide 3 both sides:

Same side exterior angles are linear pair and have sum 180°

[tex]\\ \rm\Rrightarrow x-11+2x+8=180[/tex]

[tex]\\ \rm\Rrightarrow 3x-3=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=183[/tex]

[tex]\\ \rm\Rrightarrow x=61[/tex]

Answer:

a. (x² + y²)² = (x² - y²)² + (2xy)²

b. The conjecture works in all cases.

c. Sides of 119, 120, and 169

Step-by-step explanation:

a. Equation that models this conjecture

x² + y² = sum of squares

x² - y² = difference of square

  2xy = twice the product of the integers

If these are the sides of a right triangle then

(x² + y²)² = (x² - y²)² + (2xy)²

b. Test the conjecture

(i) Try x = 2, y = 1

(2² + 1²)² = (2² - 1²)² + (2×2×1)²

       5² = 3² + 4²

      25 = 9 + 16

(ii) Try x = 3, y = 1

(3² + 1²)² = (3² - 1²)² + (2×3×1)²

      10² = 8² + 6²

    100 = 64 + 36

(iii) Try x = 3, y = 2

(3² + 2²)² = (3² - 2²)² + (2×3×2)²

       13² = 5² + 12²

     169 = 25 + 144

The conjecture appears to work in all cases.

c. A possible triangle

We must have one side greater than 100. That means,  

x² > 100 or x >1 0.

                                      Let x = 12

                               One side = 12² + y²

                  The second side = 12² - y²

The third side must have 2xy > 100

                                        24y > 100

                                            y > 4.2

                                      Try y = 5

                              (12² + 5²)² = (12² - 5²)² + (2 × 12 × 5)²

                                       169² = 119² + 120²

So, one right triangle could have sides of 119, 120, and 169.

Furthermore, these sides have no common factors.

Check:

 169² = 119² + 120²

28561 = 14161 + 14400

28561 = 28561

Answer:

91 more points are needed

Step-by-step explanation:

Answer:91

Step-by-step explanation:

Answer: your answer would be 92 .

Step-by-step explanation: all you have to do is add . hope this helped <3 .

Answer:

Cost per bottle. Therefore cost/bottle. Set 1: 3.79/6=.63 Side note, don’t forget to round each time to the nearest cent. Set 2: 4.50/9=.50 Set 3: 6.89/12=.57 The second package (9-pack for $4.50) is the costs least per bottle.

Step-by-step explanation:

Step-by-step explanation:

300/20 × 3/3 = 900/60

* 60 sec is 1 min therefore you want to get 60 secs in the denominator. In order to get that, you need to multiply.

900/60 divided by 60/60 is 15/1.

So 300m/20sec = 900m/60sec = 900mpm

If we're to do the same for all then it would be:

30m/20sec = 90m/60sec = 90mpm

15m/20sec = 45m/60sec = 45mpm

3m/20sec = 9m/60sec = 9mpm

Answer:

The new probability of drawing a red marble is ()=.  

Step-by-step explanation:

The sample space change. Each event within the sample space change. The probability of each event changes.

Answer:

Step-by-step explanation:

[tex]21 \div 18[/tex]

Answer:

b(5)

Step-by-step explanation:

pls I am not sure

pls I really don't  want any bad comment I already feeling bad

Answer:

Hiking

Step-by-step explanation:

Given: Kayaking burns 4.5 calories per minute

The slope of the graph is 5

You can use rise over run to figure out the slope. Or you may have noticed the order pair (1,5)

This means hiking burns 5 calories per minute, which is greater than 4.5

Answer:

Step-by-step explanation:

The ratio of nickels to dimes to quarters is given as ...

  N : D : Q = 6 : 1 : 4

The total number of ratio units is 6 +1 +4 = 11. The total number of coins is given as 99, so each "ratio unit" must represent 99/11 = 9 coins. That is, the actual coin count ratios are ...

  N : D : Q = 54 : 9 : 36

Zachary has 54 nickels, 9 dimes, and 36 quarters.

__

Check

The value of the coins is ...

  $0.05 × 54 +$0.10 × 9 +$0.25 ×36 = $2.70 +0.90 + 9.00 = $12.60

Answer:

The number next to 1 is 2.5.

It means 2.5 dimes are in 1 quarter (1 quarter = 2.5 dimes)

Step-by-step explanation:

The value next to 1 in the table above = number of dimes we have in 1 quarter.

Let the value next to 1 be "x".

That is:

1 quarter = x dimes

If 4 quarters = 10 dimes, then,

Cross multiply to find, how many dimes, x is equal to.

Thus:

1*10 = 4*x (cross multiplication)

10/4 = 4x/4 (dividing both sides by 4)

2.5 = x

The number next to 1 is 2.5.

It means 2.5 dimes are in 1 quarter (1 quarter = 2.5 dimes)

The path difference will be 1571 nm

Now for the constructive interference, the formula is given

[tex]\rm dsin\theta==n\lambda[/tex]

here,

d = is the distance between slits.=060mm

θ = is the angle of diffraction=0.30 Degree

n = is the order of fringe=2

λ = is the path difference.

[tex]\lambda=\dfrac{(dsin\theta)}{n}[/tex] [tex]\lambda=\dfrac{(0.60\times10^{-3}\times sin(0.30)}{2} = 1.57\times10^{-6}[/tex]  

Thus path difference will be 1571 nm

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The answer is C. 3142

Answer:

12.5 square yards.

Step-by-step explanation:

Let a square yard of carpet = x

The cost of installing a carpet is given by;

100 + 8x

The charge for installation

75 + 10x

The number of square yards of carpet for which the cost including carpet and installation is the same is given by;

100 + 8x = 75 + 10x

100 - 75 = 10x - 8x

25 = 2x

x = 25 / 2

x = 12.5 square yards.

Answer:

old post so answering for points

Step-by-step explanation:

Complete question is;

Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options:

A) The builders were chosen at random.

B) The population included only builders who build in Vicki’s town.

C) The population included builders who build homes in any town.

D) The population included builders who do not build homes in Vicki’s town.

E) The builders were referred to Vicki by the realtor who will be selling the houses.

Answer:

Options A & B are correct.

A) The builders were chosen at random.

B) The population included only builders who build in Vicki’s town.

Step-by-step explanation:

Looking at the question, we see that Vickie wanted to determine the cost of building a new home in the town in which she lived. Now, she sampled builders who are building in the town in which she lives and thus, it makes the sample more representative.

However, the random method of choosing the builders would help to remove any lingering biases that may arise.

Thus, we can conclude that the builders were chosen at random and that it included only those who build in her town.

Thus, options A & B are correct.

Answer:

A)The builders were chosen at random., B)The population included only builders who build in Vicki’s town.

Step-by-step explanation:

Answer:

3/20 or 0.15 or 15%

Step-by-step explanation:

Since 3 red marbles were drawn out of 20 outcomes, the probability the next marble will be red is 3/20. If you convert it to a decimal it will be 0.15, and if you convert it to a percent it will be 15%.

Answer:

The choice C.

Step-by-step explanation:

[tex] {( \frac{ {2}^{ - 10} }{ {4}^{2} } )}^{7} = \frac{ {(2}^{ - 10}) ^{7} }{ {( {4}^{2}) }^{7} } = \frac{ {2}^{ - 10 \times 7} }{ {4}^{2 \times 7} } = \frac{ {2}^{ - 70} }{ {4}^{14} } \\ \\ = \frac{1}{ {2}^{70} \times {4}^{14} } [/tex]

Answer:

b or c

Step-by-step explanation: