1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
2 years ago
14

What is the solution to the system of equations?

Mathematics
1 answer:
tekilochka [14]2 years ago
3 0
<span>simplify third eqn -2x+5y+2x=4
5y=4
y=4/5

substitute back to 1st n 2nd eqn n solve for x n z
-4x-4-z=18 and -2x-4-2z=12
simplify -4x-z=22 and -2x-2z=16
-4x-(-x-8)=22
-3x+8=22
x=-14/3
z=-10/3
y=4/5





</span>
You might be interested in
On an airplane, there are two seats on the left side in each row and three seats on the right
pogonyaev

Answer:

a)64

b)96

Step-by-step explanation:

For this we calculate the number of rows, 32, as 2+3 is 5, and 160/5 is 32. Then we know that there are 32 rows, and in each row are 2 left seats and 3 right seats, so we multiply 32 by both numbers for the answers.  

3 0
2 years ago
Read 2 more answers
The total perimeter of a square is 36 inches. What is one side of the square equal to
never [62]

Note that a square has 4 congruent and equal length sides.

The total perimeter is 36

Divide 36 with 4

36/4 = 9

9 inches is your answer

hope this helps

5 0
2 years ago
Angles E and Fare in ration 2:5. If the sum of E+F=70, What are the
LenKa [72]

Answer:

E is equal to 20 and F is equal to 50. 20(E)+50(F)=70

3 0
2 years ago
Read 2 more answers
A carnival uses two baskets hanging from springs at different heights. Next to the higher basket is a pile of baseballs. Next to
Lelechka [254]

*I've tried looking up to see if I can find what the part B and c of this question is, but unfortunately, I can't find them. However, I have tried answering this question by answering part a, and also going ahead to answer how to state and explain the secrets of winning the game. I'm pretty sure most of the questions would be answered in the process.

Answer/Step-by-sep explanation:

Using an equation, in slope-intercept form, we can derive an equation that models the relationship of the height of each basket and the number of balls it contains.

The slope-intercept form is given as: y = mx + b, where,

m = slope/rate of change

b = y-intercept/strating value/height of the basket when it's empty.

✍️Baseball Equation:

Using two pairs, (0, 54) and (5, 39) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{39 - 54}{5 - 0} = \frac{-15}{5} = -3.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 54

This means that the baseball basket was at a height of 54 units when it was empty.

m = -3, means the baseball basket kept reducing at an average rate of -3 units in height as each ball was added.

To derive the baseball equation, substitute m = -3, and b = 54 into y = mx + b.

✅Thus, base ball equation would be:

y = -3x + 54

✍️Golf Ball Equation:

Using two pairs, (0, 45) and (5, 35) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{35 - 45}{5 - 0} = \frac{-10}{5} = -2.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 45

This means that the golf ball basket was at a height of 45 units when it was empty.

m = -2, means the golf ball basket kept reducing at an average rate of -2 units in height as each ball was added.

To derive the baseball equation, substitute m = -2, and b = 45 into y = mx + b.

✅Thus, golf ball equation would be:

y = -2x + 45

Now, to win the game, we have to find out how many number of exact balls (x) we need to add in each basket equally, for both baskets to be at the same height.

To do this, set the equation of the baseball equal to that of the golf ball.

Thus:

-3x + 54 = -2x + 45

Collect like terms

-3x + 2x = -54 + 45

-x = -9

Divide both sides by -1

x = 9

✅To win the game, add 9 balls each to both basket to make the height of both baskets equal.

Let's check to see if both baskets will yield the same height if we add 9 balls each basket.

✍️Height (y) of Golf ball basket if we add 9 balls (x):

Substitute x = 9 into y = -2x + 45

y = -2(9) + 45 = -18 + 45

y = 27 units

✍️Height (y) of Baseball basket if we add 9 balls (x):

Substitute x = 9 into y = -3x + 54

y = -3(9) + 54 = -27 + 54

y = 27 units

✅As we can see, both baskets will be at the same height of 27 units when we add 9 balls to each basket.

The game will be won if we do this.

6 0
2 years ago
What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig
Pavlova-9 [17]
The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g
5 0
2 years ago
Other questions:
  • What value of b will Cause the system to have an infinite number of solutions y=6x-b -3x+1/2y=-3
    11·2 answers
  • Please Help!!! Braniest!!!!
    5·1 answer
  • . The relationship between the length of one side of a square, x, and the perimeter of the square, y, can be represented in an x
    6·1 answer
  • Which statements are true? Check all that apply. The height of the cylinder is 3.4 ft. The diameter of the cylinder is about 4.5
    13·1 answer
  • Use the Distributive Property to simplify the expression.<br><br> 12(6−k) = ???
    13·1 answer
  • 2. A figure is reflected
    6·1 answer
  • The ratio of a pair of corresponding sides in two similar triangles is 5:3. The area of the smaller triangle is 108 in2. What is
    11·1 answer
  • Simplify the following expression.
    15·1 answer
  • Simplify -4x + 3y + -2z + 2y
    8·2 answers
  • Simplify the following expression.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!