use substitution to solve each system of equations

2. y= 4x+5
2x+y=17

6. 3x +4y= -3
x+2y= -1

8. -1=2x - y
8x-4y=-4

10. y= -4x + 11
3x + y=9

15. -5x+4y=20
10x-8y= -40

Answer:

y-3x=-1

2x+y-(y-3x)=4-(-1)

2x+y-y+3x.=4+1

5x =5

x=1

y=(3×1)-1,

y=3-1

y=2

Answer:

OPTION A ,YES

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The proportion equation for c in terms of j is written as c = 0.9j

In order to find the proportional equation for c in terms of j that matches the context, what you would have to do would be to divide 9.90 dollars by 11 bottles of pineapple juice.

This would tell us the price that one of the bottles of juice is been sold for.

Hence we would have

9.90 / 11

= 0.9

Hence the equation would be: c = 0.9j

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Answer:

9.3%

Step-by-step explanation:

Given data

Principal=$11200

Futute value= $14345

Time= 3years

The simple interest expression is given as

A=P(1+rt)

substitute

14345=11200 (1+r*3)

14345=11200+r33600

14345-11200=r33600

3145=r33600

r= 3145/33600

r=0.093

Hence the rate is 9.3%

Answer:

Table A, Table C, Table B

Step-by-step explanation:

f(x) = -4x - (-5)

f(0) = -4(0) - (-5) = 5

Table A

f(x) = -4x - (-1/5)

f(0) = -4(0) - (-1/5) = 1/5

Table C

f(x) = 4x + (2/5)

f(0) = 4(0) + (2/5) = 2/5

Table B

Answer:

Step-by-step explanation:

Answer:

join the meet /vwd-cfbx-dtk

The percentage error is 16%

We know that the formula for the percentage error.

E = (absolute error / actual value) × 100

The formula for the absolute error is:

A = |actual value - experimental value|

A = |V1 - V2|

where V1 is the actual value

V2 is the experimental value

E is the percentage error

A is the absolute error

In this question, the experimental calculation of the specific heat of aluminum = 156 cal/g °C

And the actual specific heat of aluminum = 185 cal/g °C

Using above formula of absolute error,

A = |185 - 156|

A = 29 cal/g °C

And the percent error would be,

E = (absolute error / actual value) × 100

E = (29 / 185) × 100

E = 0.16 × 100

E = 16%

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Answer:

I think its B

Step-by-step explanation:

Hope this helps:)

The equivalent expression is,

⇒ 13x + 5

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3x + 2.5 (4x + 2)

Now,

Simplify the expression as;

The expression is,

⇒ 3x + 2.5 (4x + 2)

⇒ 3x + 2.5 × 4x + 2.5 × 2

⇒ 3x + 10x + 5

⇒ 13x + 5

Thus, The equivalent expression is,

⇒ 13x + 5

Option B is true.

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Answer:

The numbers are being divided by 2 each time.

240/2 = 120

120/2 = 60

So the next set of numbers would be:

30, 15 because

60/2 = 30

30/2 = 15

Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation:

The best answer is C. She solved 4 problems and began working on the 5th one.  The equation is y = x + 4. So when x is 0, the answer is 4. That's when the timing began.

A: not A. A is a subtraction problem, but that is not what is happening. She started with 4 dollars in her change jar and added 1 dollar each week.

B: not B. If she ran 4 miles each week, the equation would be y = 4x.

D: same as B. The equation is 4x again.

Answer:

11/25

Step-by-step explanation:

total number of students to selet from is 6+11+8=25

number of seventh graders is 11

=11/25

Answer:

13 cents / ounce

Step-by-step explanation:

$4.16÷32= $0.13 cents/ounce.

Answer: 3 times 4 times 3

Step-by-step explanation:

Answer:

6 x 3 x 2 = 36

Step-by-step explanation:

Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.

Coefficient definition.

A number or symbol that multiplies another number or symbol is referred to as a "coefficient" (used as a mathematical variable).

Give a co-efficient example in writing.

A coefficient is a result of multiplying an amount by a variable. 6z, for instance, is short for six times z. 6 is a coefficient since z is a variable. The coefficient is one for variables that don't have a value.

Let x equal the x³-1 coefficient. Thus, x=1 is the coefficient of the given function.

The expression's coefficient is the term multiplied by x³. Since x³ is not a word, the answer is 1.

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The full question should be:

What is the coefficient form of X³ 2 *?

If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.

The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.

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Answer:

  9 cm

Step-by-step explanation:

You want the radius of the sphere that has a surface area of 324π cm².

The area of a sphere is given by the formula ...

  A = 4πr²

Filling in the given values, we can solve for r:

  324π = 4πr²

  81 = r² . . . . . . . . . divide by 4π

  9 = r . . . . . . . . . . . take the square root

The radius of the sphere is 9 cm.

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Answer:

£10 pounds

Step-by-step explanation:

135+70+35 = 240 pounds between all 3

3:2:1 ratio means 6x represents all of them

6x=240

x=£40 each 1

3(40) =  £120 Sarah

2(40) = £80  Gemma

1(40+ = £40  Beth

Gemma received 10 pounds.

Answer:

Point •H ( The GREEN one ) has the coordinates of (-2, -2).

Answer: H

Step-by-step explanation:

The answers correct because, when a number is in the third quadrent both numbers are negative. And since H is in the third quadrent on x=-2 then H is the correct answer.

Hope This Helps!

Answer:

Circle.among all shapes with the same area, a circle has the shortest perimeter

Answer:

J)  924 cm²

Step-by-step explanation:

the shaded area represents a trapezoid and the formula for area is:

1/2 x height x (sum of parallel bases)

A = 1/2(24)(35+42)

A = 12(77)

A = 924

Answer:

B) 8 sec

Step-by-step explanation:

So, your answer will be 8, you are right!!

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

hope it helps....

have a great day!!

To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.

The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).

The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).

Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.

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Fuel consumption is 53.957 miles per gallon for a car moving at  a speed of 60 miles per hour using least square Regression .

A statistical word for models that evaluate the connections between variables is regression. A single dependent variable Y and one or more independent variables X are studied using a linear regression model.

A technique for employing a goodness-of-fit criterion to fit a curve—not necessarily a straight line—through a collection of points. Regression that is most frequently used is linear regression. Recursion is occasionally used interchangeably with the word regression.

Y = mX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, is the formula for simple linear regression.

Calculation of Fuel Consumption in 60 miles per hour.

given the least square regression line is

y = 55.3286 - 0.02286x

so, y = 55.3286 - 0.02286 * 60 = 53.957 miles per gallon.

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Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.

The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.

Every digit in a number has it's own place value. Place value is the position of a digit in a number.

For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.

Given the number 33,291.

Place value of 1 = 1

Place value of 9 = 90

Place value of 2 = 200

Place value of 3 in thousands place = 3000

Place value of 3 in ten thousands place = 30,000 = 3000 × 10

That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.

Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.

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Answer:

no

Step-by-step explanation: