The sum of two numbers is 51, the difference is 17. Find the numbers.

Answer:

?? what are the answer choices?

Step-by-step explanation:

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

[tex]y=-\frac{1}{2}[/tex]

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

Answer:

15

Step-by-step explanation:

5+4=9

27÷9=3

girl's ratio is 5 so

5×3=15

answer is 15

Answer:

5% change

Step-by-step explanation:

Answer:

33 was the change and it incressed

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

Answer:

It's 102

Glad to help! Your welcome.

Answer:

He will earn £186.89 interest

Step-by-step explanation:

final = original x multiplier^n

final = 2000 x 1.015^6

final = 2186.886528

Interest = final - original

Interest = 186.8865

Answer:

5

Step-by-step explanation:

You must have x alone

Answer:

5

Step-by-step explanation:

everyone else is smarter than me

[tex]ans = \boxed{ 0.6}[/tex]

[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]

Answer:

12

Step-by-step explanation:

Think of this as a normal calculation at first.

Just focusing on the numbers themselves (not the roots) let's do the calculation.

8 × 18 = 144

Let's put the square roots back into play.

√144

And we know what the square root of 144 is (12).

Answer:

i think it's 11x-1

Step-by-step explanation:

2(1-3x)-(5x+1)

2-6x-5x-1

2-11x-1

11x-1

Answer:

(0,7)

Step-by-step explanation:

This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.

From the equation, we see that (0,7) is the y-intercept.

Let me know if this helps!

Answer:

p > 12, p = 12

Step-by-step explanation:

She said she scored more than 12. It could be equal too.

Answer:

I am late on this but it could help some other people!

Step-by-step explanation:

Option A because it shows that the value of his score is greater than 12.

Answer:

A = 720g

Bi = 480g

Bii = 2

Answer:

Step-by-step explanation:

7/2 = t/28

t = 98 ft

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.

Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist

Height of the tree/ 28 = 7/2

Height of the tree = (28×7)/2

Height of the tree = 98 feet

Hence, the height of the tree is equal to 98 feet.

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This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

In our case, we are given

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

The unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The range of a given set of data is defined as the difference between the largest value and the smallest value.

Given that the mean of two numbers is 7 and the range of these two numbers is 8.

Let the pair of number be 11 and 3

11 + 3 = 14

14 / 2 = 7

Mean = 7

Also, the difference between the numbers are;

11 - 3 = 8

Range = 8

Therefore, the unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

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Answer:

The slope is 2

Step-by-step explanation:

To solve for slope, it's: y2-y1/ x2-x1.

The points can be (1,0) and (2,2) since they intersect with the slope.

You plug the points into the equation which is 2-0/ 2-1.

This will give you 2/1 or just 2.

Or you can just do rise over run. The slope is going up by 2 and across by 1.

Answer:

B

Step-by-step explanation:

below 0 is negative

so -15

In My Knowledge

Option B. -15°

Answer:

B.) i think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since the graph shows a straight line and not a curved graph, this is a linear equation.

And since the line is sloping downwards, it is decreasing.

Our final answer is linear decreasing.

The category of the function of the graph in the figure is a (b) Linear decreasing graph

Any graph that is represented by a straight line is a linear graph

The above statement means that the graph is a linear graph because it is represented by a straight line.

The orientation of the line also means that:

As x increases, the value of y decreases

Hence, the category of the graph is a (b) Linear decreasing graph

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Answer:

1 and 9/28

Step-by-step explanation:

you need to put everything over the same denominator

21/28+16/28=37/28

this can be written as  1 9/28

Answer:

you can do it !! .. here's how

Step-by-step explanation:

slope = rise / run

pick any two coordinates that the line goes through

set up the equation using the y - coordinates at the top and the x- coordinates on the bottom

subtract the two y - coordinates and then the x-coordinates

then you will get your answer.

hope this helps

Answer: 37/3 is the answer

Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is the spinner, and the answer would be 1/4.

The probability of the next spin landing on a vowel is 2/7.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner labeled A, H, B, C, F, D, and E.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

The total number of letters is 7 and the number of vowels is 2.

Therefore, The probability that the spinner will land on a vowel is,

= 2/7.

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Step-by-step explanation:

3/4x+5=-19

       -5   -5

3/4x=-24

/ 3/4 / 3/4

x=-32

hope it helps! :3 let me know if you need help with other algebraic equations!

Answer: 548 but if you meant to put an x instaed of * it'll be 3x^54+386

Step-by-step explanation:

Answer:

i think 548 or 21

Step-by-step explanation: