Using elimination method.
1:x+y=16
x-y=0

Answers

Answer 1

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8


Related Questions

Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?

Answers

Answer: 8 bags

Step-by-step explanation:

From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.

For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:

= 3 ÷ (3/8)

= 3 × (8/3)

= 8

Therefore, she will pack 8 bags of dried fruit.

Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)

Answers

Step-by-step explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

[tex](y - y1) = m(x - x1)[/tex]

Now, keep all values.

[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]

Now, simplify to get answer.

[tex]5(y + 4) = - 3(x - 4)[/tex]

[tex]5y + 20 = - 3x + 12[/tex]

[tex]5y = - 3x + 12 - 20[/tex]

[tex]5y = - 3x - 8[/tex]

[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]

Therefore the equation is y = -3/5x - 8/5.

Hope it helps...

Which pair of lines are perpendicular

Answers

Answer:

D

Step-by-step explanation:

Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.

Answers

Answer:

vertex = (- 4, - 3 ), equation is x = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 6(x + 4)² - 3 ← is in vertex form

with (h, k ) = (- 4, 3 ) ← vertex

The equation of the axis of symmetry is a vertical line passing through the vertex, with equation

x = - 4

a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?

Answers

Answer:

A Clydesdale drinks 840 gallons of water in 28 days.

Step-by-step explanation:

120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.

Yeah sorry I’mmmmm!!!

What is the measure of angle x? 62" X​

Answers

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

What is triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ2

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?

Answers

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

[tex]8=\underline{2}\times 2\times 2[/tex]

[tex]22=\underline{2}\times 11[/tex]

Common is 2.

Therefore the LCM will be:

[tex]2\times 2\times2\times 11 = \bold{88}[/tex]

So, the answer is 88 s.

Which expression has the greatest value?

A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2

Answers

the answer is c you just have to solve each one

A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950

Answers

Answer:

J. $950

Step-by-step explanation:

p(n)= 10n-50

p(n)=10(100)-50

P(n)=1000-50

950

The answer is j-950

who does gymnastics?
answer if you do only

Answers

ME!!! I have to because of volleyball and track practicing

1) If the mean is 15.5 and the standard deviation is 2.5, Label b, c, d, e, and f​

Answers

Answer:

I accidentally clicked I can’t click out

Step-by-step explanation:

Sorry

A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.​

Answers

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

[tex]|4+58|[/tex] = 62

i need help can yall help

Answers

Answer:

360"

Step-by-step explanation:

Firstly, you need to be able to convert your feet to inches. Remember, one foot is equal to twelve inches. You multiply six inches by five feet and later multiply by twelve to convert to inches.

i believe she can cut 360 6 inch strips from all of the rolls

Because:

the 5 rolls of ribbon each have six feet of ribbon on each roll, times the amount of inches in a foot

5(rolls of ribbon)*6(feet on each roll)*12(inches in a foot) = 360 (6 inch strips she can cut)

PLEASE give brainliest if correct!
have a nice day :-)

Please help me with this problem

Answers

Answer: D)  [tex]m \angle 2 = m\angle 5[/tex]

================================================

Explanation:

Let's go through the answer choices to see what's true and what's false.

A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.

A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?

Answers

Answer:

No.

Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.

Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ

Answers

In scientific notation, the first part is always between 1 and 9, otherwise the exponent would change. So, for example, 10.1*10.^5 would not be correct, but could be written as 1.01*10^6. Likewise, .101*10^8 would not be correct, but it could be written as 1.01*10^7. So for this question, choice a is correct.

En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?

Answers

Answer:

Creo que eso es cierto también grandes habilidades españolas

Step-by-step explanation:

PLEASE HELP MEE ASAP!

Answers

Answer:

Step-by-step explanation:

1/6

.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?

Answers

See attachment for math work and answer.

Answer:

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

A. $486.93

B. $483.93

C. $489.93

D. $480.93

Step-by-step explanation:

help me with this question

PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS

Answers

This is ezz homework pay attention in class

I think this is correct

Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Its not a because all they did was take the variable out the equation the answer is b cause they solve for b

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

The answer is 122 degrees. Pentagons add up to 540 degrees and if you subtract all the other angles you are left with 122, which is also the exact angle of the pentagon to the right if you were to translate it over.

Answer:

∠H = 122°

Step-by-step explanation:

This is a 5-sided polygon. That means the sum of all the angles must equal 540°.

∠H + 107° + 97° + 130° + 84° = 540°

∠H = 540° - (107° + 97° + 130° + 84°)

∠H = 540° - 418°

∠H = 122°

HELPPPPPPPPPPPPPPPPP

Answers

Answer:

D

Step-by-step explanation:

:) hard to explain, and takes a LOT of typing I don't really wanna do

Help me plz!!!!!!!!!!!

Answers

Answer:

88%

Step-by-step explanation:

22/25 = .88 x 100= 88%

Answer:

88%

Step-by-step explanation:

First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.

Find the value of x.

Answers

in this problem x equals 10

Step-by-step explanation:

jd

Answer:

13

Step-by-step explanation:

(5x10₃) x (9x10₇)
answered in standard form

Answers

Answer:

5x9x10^10

Step-by-step explanation:

your question is incomplete

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?

Answers

Answer:

7 years

Step-by-step explanation:

Let W = number of years they both have to work to make the same amount :

Amount made by Jaylon = 57000

Annual raise = 2500

Titak made after W years :

57000 + 2500w - - - (1)

Amount made by Anita = 64000

Annual raise = 1500

Total made after w years :

64000 + 1500w - - - (2)

Equate (1) and (2)

57000 + 2500w = 64000 + 1500w

2500w - 1500w = 64000 - 57000

1000w = 7000

w = 7000/ 1000

w = 7

Hemce, they'll both earn the same amount after 7 years

Calculate the median of the following set of numbers.



19, 22, 75, 37, 37, 27, 32, 15, 10

Answers

Answer:

37

Step-by-step explanation:

10,15,19,22,27,32,37,37,75

What is the 6th term of the geometric progression
12.6.3, ... ?

Answers

Answer:

a₆ = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus

a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]

HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

Answers

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

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