The two lines graphed below are parallel. How many solutions are there to the system of equations?

Answer:

1 and 7/24

Step-by-step explanation:

2/3 + 5/8

= 16/24 + 15/24

= 31/24

= 1 and 7/24

Hope this helps!

For this case we must simplify the following expression:

[tex]\frac {2} {3} + \frac {5} {8}[/tex]

Then, we add the fractions making cross product:

[tex]\frac {2} {3} + \frac {5} {8} = \frac {8 * 2 + 3 * 5} {3 * 8} = \frac {16 + 15} {24} = \frac {31 } {24}[/tex]

Thus, the fraction can not be simplified.

How mixed number we have:

[tex]\frac {31} {24} = 1 \frac {7} {24}[/tex]

ANswer:

[tex]\frac {31} {24}[/tex]

Answer:

A

Step-by-step explanation:

On solving the given inequality, we get x > 11.81

Given is the following inequality -

81 - 11/5x ≤ 55

We have -

81 - 11/5x ≤ 55

(11/5)x ≥ 81 - 55

(11/5)x ≥ 26

(11/5)x ≥ 26

x ≥ = (26 x 5)/11

x > 11.81

Therefore, on solving the given inequality, we get x > 11.81

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Answer:

157.5

Step-by-step explanation:

346.5 lb = 157.16976 kg

346.5 lbs. = 157.16976 kg

Answer:

4XY-34

Step-by-step explanation:

1. x*y=xy

2.xy*4=4xy

3. 4xy-34

Answer:

∠1 = 72°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°

Answer:

24 ft up the wall

Step-by-step explanation:

We can use the Pythagorean theorem to solve, letting the 25 ft ladder be the hypotenuse

a^2 +b^2 = c^2

7^2 +b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49-49 +b^2 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

We only take the positive solution since length cannot be negative

The ladder will reach 24 ft up the wall

Answer:

x=5  y=-1

Step-by-step explanation:

7x-2y=37

[2(4x+y=19)]=

8x+2y=38

---------------------

15x/15=75/15

x=5

[4(5)+y=19]

y=-1

Final answer:

The solution to the given system of equations using elimination is x = 5 and y = -1. This was achieved by multiplying the second equation by 2 and then adding both equations to eliminate y.

Explanation:

We are given a system of linear equations and are asked to solve it using the method of elimination. We have the following equations:

1) 7x - 2y = 37

2) 4x + y = 19

To eliminate one of the variables, we can multiply the second equation by 2 to make the coefficient of y the same in both equations (but with opposite signs). After this step, our system looks like:

1) 7x - 2y = 37

2) 8x + 2y = 38

Now, adding the two equations will eliminate y, and we get:

7x + 8x = 37 + 38

15x = 75

x = 5

We can then substitute the value of x into one of the original equations to solve for y:

4x + y = 19

4(5) + y = 19

20 + y = 19

y = -1

So, the solution to the system is x = 5 and y = -1.

Answer: tasha needs at least 252 inches of ribbon

your exact answer should be 252 inches

Step-by-step explanation: multiply the width times height to find the area of a rectangle

Tasha requires 64 inches of ribbon to decorate the outer edge of her bulletin board. To determine this, we use the formula for the perimeter of a rectangle, 2*(length+breadth), substituting the dimensions of the board.

To calculate the amount of ribbon Tasha requires, you need to find the perimeter of the bulletin board. The perimeter of a rectangle (which is the shape of the bulletin board) is calculated by the formula 2*(length+breadth).

In this instance, the length is 18 in, and the width (or breadth) is 14 in. Substituting these values into the formula we get: 2*(18 in + 14 in) = 2*32 in = 64 inches. Thus, Tasha needs 64 inches of ribbon to decorate the entire outer edge of the bulletin board.

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Horizontal translation 1 unit to the left

Answer:

The answer is B

Step-by-step explanation:

In the decimal (base ten) system, the value of the digits is based on the number ten. Each position in a decimal number has a value that is a power of 10.

Answer is B

The last digit (1) is on the thousandths place value

Answer:

$55.24

Step-by-step explanation:

Add $32.78 + $27.24 + $5.22

= 65.24

Subtract 10

= $55.24

Answer:

55.24

Step-by-step explanation:

Shoes                            32.78

Dress                             27.24

Shipping                         5.22

Total                               65.24

Less Gift Certificate      10.00

Her Payment                  55.24

[tex]\bf \begin{array}{ccll} feet&seconds\\ \cline{1-2} 4752&1\\ x&0.8 \end{array}\implies \cfrac{4752}{x}=\cfrac{1}{0.8}\implies 3801.6=x\implies \stackrel{\textit{rounded up}}{3802=x}[/tex]

so, we can conclude that since the wave went and came back in 0.8 seconds, it travelled the distance of 3802 feet, however that's the whole trip, we want to know how far the object is, and that'd be only the distance it took on its way forth, namely half the trip, namely 3802/2 = 1901.

16 2/3 - 9 1/3=7 1/3 or 22/3

Or

50/3 - 28/3= 22/3 or 7 1/3

The result of the given mixed fraction subtraction 16 2/3 - 9 1/3 is 22/3 or 7 1/3.  

Given equation of mixed fraction is 16 2/3 - 9 1/3

Thus, we have

= 16 2/3 - 9 1/3

= 50/3 - 28/3

= 22/3

Thus, the result of the given mixed fraction subtraction 16 2/3 - 9 1/3 is 22/3 or 7 1/3.

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Explanation:

If you had one coin, then there are 2 outcomes because of the two sides heads or tails, which I'll shorten to H and T respectively.

With two coins, there are 2*2 = 4 outcomes (HH, HT, TH, or TT)

Having 3 coins there are 2*2*2 = 2^3 = 8 outcomes

4 coins and we have 2^4 = 2*2*2*2 = 16 outcomes

and so on

With 9 coins there are 2^9 = 512 different outcomes

Answer:

There are 2 outcomes per flip.

Therefore the answer is 2^9 which equals 512 outcomes.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8 x 4 = 32

8 x 6 = 48

8 x 9 = 72

The mean is the average.

Add the number of contacts and divide by the number of people:

112 + 104 + 96 + 54 +98 +120 = 584

584 / 6 = 97.3

The mean = 97.3

Now add the standard deviation to the mean for the higher value and subtract the standard deviation from the mean for the lower value:

97.3 - 21 = 76.3

97.3 +21 = 118.3

The answer would be D.

Answer:

2/9 of a chance

Step-by-step explanation:

If she only spun the spinner twice and had to land on a 2 and a 3 in order to get a sum or 5.  The possible results of the spinners would be

1 & 1          2 & 1          3 & 1

1 & 2          2 & 2         3 & 2

1 & 3         2 & 3         3 & 3

only two of those possibilities equal 5.  So it would be 2/9 of a chance.

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

Answer:

h(f(x)) = 2x - 11 and the next one is f(h(x)) = 2x - 4 or A and B

Answer:

9.36cm

Step-by-step explanation:

We can add up all the sides to find the perimeter.

[tex]x+2x+2x=5x[/tex]

So the perimeter, 46.8, is equivalent to 5x.

Solve.

[tex]5x=46.8 \\ \\ x=9.36[/tex]

So [tex]x[/tex] is 9.36.

Since the base is [tex]1x[/tex], the base is 9.36cm.

We can plug back in to check our answers.

[tex]2x=18.72\\9.36+18.72+18.72 = 46.8[/tex]

The answer is 9.36cm hope u do well :)

Answer:

The other side is 6 units long.

Step-by-step explanation:

Area of a Triangle = (1/2)(Base)(Height)

18 = (1/2)(6)(x)

Note that x is the other side of the triangle.

18 = 3x

x = 6

The other side is 6 units long.

Answer:

w<240 pounds

Step-by-step explanation:

The inequality of weight is w≤250 pounds.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A go-cart has a maximum weight limit of 240 pounds.

let the weight is represented by 'w'

We can use inequality sign here as ≤.

Now, in the given situation weight should be less than or equal to 250 pounds.

Hence, the equality is w≤250 pounds.

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[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=7.6 \end{cases}\implies A=\pi 7.6^2\\\\\\ A=57.76\pi \implies A\approx 181.46[/tex]

Answer: OPTION C

181.3664 square centimeters

Step-by-step explanation:

Answer:

38 in²

Step-by-step explanation:

The area (A) of a trapezium is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where a, b are the parallel bases and h the perpendicular height

here a = 12, b = 7 and h = 4, hence

A = 0.5 × 4 × (12 + 7) = 2 × 19 = 38 in²

Answer:

38 in²

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]6x^2-2x^4+4+3x\\\\\text{Look at the power of variables.}\\\text{Arrange the terms in order from the largest exponent to the smallest.}\\\\-2x^4+6x^2+3x+4[/tex]

ANSWER

{1, 4, 9, 16, 25, 36, 49, 64}

EXPLANATION

The perfect square integers between 1 and 80 inclusive are obtained by squaring the natural numbers from 1 to 8

[tex] {1}^{2} = 1[/tex]

[tex] {2}^{2} = 4[/tex]

[tex] {3}^{2} = 9[/tex]

[tex] {4}^{2} = 16[/tex]

[tex] {5}^{2} = 25[/tex]

[tex] {6}^{2} = 36[/tex]

[tex] {7}^{2} = 49[/tex]

[tex] {8}^{2} = 64[/tex]

The square of the next number does not fall within the given range.

Therefore "The perfect square integers between 1 and 80 inclusive" are

{1, 4, 9, 16, 25, 36, 49, 64}

(1,9,16,25,36,49,64)Answer:

Step-by-step explanation:

Answer:

13 square units.

Step-by-step explanation:

We can find the area of the parallelogram using the formula:

[tex]Area=2\times \frac{1}{2}[|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|][/tex]

where [tex]A(x_1,y_1)[/tex], [tex]B(x_2,y_2)[/tex]. and [tex]C(x_3,y_3)[/tex] are the vertices of one of the triangles created by the diagonals.

[tex]Area=[|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|][/tex]

We use A(5, 3), B(8, 4), C(7, 8) to obtain:

[tex]Area=[|5(4-8)+8(8-3)+7(3-4)|][/tex]

[tex]Area=[|-20+40-7|][/tex]

[tex]Area=|13|=13[/tex]

The area of the parallelogram is 13 square units.

70%

A percentage is the same thing as a fraction with a denominator of 100. To make our current denominator change to 100, we must multiply it by 10. So, we must do the same thing to the numerator. 7 times 10 is 70, and 10 times 10 is 100. This means 7/10 equals 70/100, which is 70%.

Answer:

164 and 16

Step-by-step explanation:

Answer:

48in

Step-by-step explanation:

We know that the photograph is

Width photo = 5in

Lenght photo = 7in

The length and width of the frame are 2x inches larger than the width and frame of the photograph so:

Width frame = 5in x 2 = 10 in

Lenght frame = 7in x 2 = 14 in

The perimeter is the distance around a two-dimensional shape. Then, the perimeter of the frame is:

Perimeter = 10 in + 14 in + 10 in + 14 in = 48in

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

[tex] = \frac{32\% \times 10}{50\%} [/tex]

[tex] = 6.4[/tex]

Hence it will take 6.4 hours to get 32%