Which steps will eliminate y from the given system of equations?
2x + 3y = 6
3x – 2y = 4

Answer:

A. c + f > 8

5c + 3f < 120

Step-by-step explanation:

Let c = chocolate cakes

Let f = fruit cakes

She must make at least 8 cakes

c+f ≥8

A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour and she has only 120 cups of flour

5c+3f ≤120

The two equations are

c+f ≥8

5c+3f ≤120

Answer:

Maximum height 9 feet; horizontal distance 10 feet

Step-by-step explanation:

First, let's get the distance out of they way

When the skateboard lands, her height will be at 0 feet, so y has to equal 0

(x - 4)² = -4(0 - 9)

(x - 4)² = -4(-9)

(x - 4)² = 36

Square root both sides

√(x - 4)² = √36

x - 4 = 6

Note that x - 4 = -6 is also possible

Add 4 to both sides

x - 4 = 6

 + 4  + 4

x = 10

Note that x = -2 is also an answer. but not valid

To find the max height

Remember our zeros? x = -2, x = 10

The number in the middle would be 4

Plug 4 in place of the x in the original equation

(4 - 4)² = -4(y - 9)

(0)² = -4(y - 9)

0 = -4(y - 9)

You can divide both sides by 4

0/4 = (-4(y - 9))/4

0 = y - 9

+ 9    + 9

y = 9

Vertex is (4,9); or in other words, 9 feet is the max height

Answer: 2 years

Step-by-step explanation:

The rate is 7 sellouts/month.

(168 sellouts)/(7 sellouts/month) = 24 months, or 2 years at 12 months/year.

Answer:

25% of 32

[tex] \frac{25}{100} \times 32 \\ = 8[/tex]

Answer:

Yes

Step-by-step explanation:

This is because based on this equation PEMDAS/Order of operation says that you will get the same answer no matter whether there are parenthesis or not.

Answer: 4

Step-by-step explanation:

[tex](36)(\frac{1}{9} )[/tex]

= 4

please give me a brainliest answer

Answer:

[tex]\boxed {\boxed {\sf (5, -3)}}[/tex]

Step-by-step explanation:

We are asked to solve the system of equations by substitution. We must isolate a variable and plug it into the other equation.

We are given these 2 equations;

[tex]2x-3y=19[/tex]

[tex]x-2y=11[/tex]

1. Isolate a Variable

We can easily isolate x in the 2nd equation. 2y is being subtracted from x. The inverse operation of subtraction is addition. Add 2y to both sides of the equation.

[tex]x-2y+2y=11 +2y \\x= 11+2y[/tex]

2. Substitute and Solve for y

x is equal to 11 + 2y, so we can substitute this expression in for x in the 1st equation.

[tex]2x-3y=19[/tex]

[tex]2(11+2y)-3y=19[/tex]

Now we can solve for y by isolating the variable First, distribute the 2. Multiply each term in parentheses by 2.

[tex](2*11) + (2*2y) -3y = 19[/tex]

[tex]22 + 4y-3y = 19[/tex]

Combine the like terms.

[tex]22+y=19[/tex]

22 is being added to y. The inverse operation of addition is subtraction. Subtract 22 from both sides of the equation.

[tex]22-22+y=19-22\\y= 19-22 \\y= -3[/tex]

3. Solve for x

We know that y is equal to -3, so we can plug it back into either original equation and solve for x. Let's use the 2nd equation.

[tex]x-2y=11[/tex]

[tex]x-2(-3)=11[/tex]

Multiply -2 and -3.

[tex]x+6=11[/tex]

6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

[tex]x+6-6=11-6\\x=11-6 \\x=5[/tex]

We found that y=-3 and x=5. Coordinate points are written as (x,y), so the solution for this system of equations is (5, -3).

Answer: 9/7 or 1 2/7

Step-by-step explanation:

Multiply 4 by the denominator and add 1:

29/7

Multiply 2 by seven (denominator) and add 6:

20/7

29/7 - 20/7 = 9/7

9/7 = 1 2/7

7 fits one time into nine and 2 is left.

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Answer:

-6

Step-by-step explanation:

40-16=24

24/-4=-6

(b + c) is equal to the product of -4 and -6.

The product of two numbers is the result you get when you multiply them together.

Given that b = 40 and c = -16

(b + c) = 40 -16 = 24

24 = -4*-6

Hence, (b + c) is equal to the product of -4 and -6.

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Answer:

b

Step-by-step explanation:

Answer:

Well, x^2(x+5)(x−6)>0= x<-5 or x>4

Step-by-step explanation:

Just have to simplify it as I can't type the equations right now.

The polynomial expression of inequality is x² ( x + 5 ) ( x - 6 ) > 0 is given by the values ( x < -5 ) and ( x > 6 )

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x² ( x + 5 ) ( x - 6 ) > 0

So , the values of x that are greater than 0 is given by

x² > 0

So , the value of x > 0

when ( x + 5 ) > 0

Subtracting 5 on both sides , we get

x < -5

when ( x - 6 ) > 0

Adding 6 on both sides , we get

x > 6

So , the inequalities are ( x < -5 ) and ( x > 6 )

Hence , the polynomial inequality is solved

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Answer:

48

Step-by-step explanation:

Answer:

A. a route more than 27 miles per day.

Step-by-step explanation:

Step-by-step explanation:

(a) yes it is answer.

i cheak it is true.

Answer:

20%

Step-by-step explanation:

Use the percent change formula: difference = % * original cost

12 - 10 = 2

The difference is 2 and the original cost is 10. Now, we have the equation

2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!

Answer:

Acute

Step-by-step explanation:

So, straight would be a line, right would be like a corner of a square, acute would be less than a right, and obtuse would be more than a right but less than a straight.

Answer:

5/8

Step-by-step explanation:

Answer:

38.5%

Step-by-step explanation:

5/13=38.5.........

Answer:

38.5%

Step-by-step explanation:

1. 5 - 13 = 0.38461538461

2. 0.3846 [1538461] - take away most of the extra numbers

3. 0.3846

4. Round it to the nearest tenth - 0.385

5. Take your answer and times my 100 - 0.385 * 100 = 38.5

and make that into a percentage - 38.5%

Answer:

[tex]2.06[/tex]

Step-by-step explanation:

Divide 33 by 16.

[tex]2.0625[/tex]

6 is in the hundredth place. If you look at the thousandth place, a 2 is placed there, rounding [tex]2.0625[/tex] to [tex]2.06[/tex] in the hundredth place.

Hence, the answer is [tex]2.06[/tex].

Answer:

1 - 58°

2 - 122°

3 - 58°

Step-by-step explanation:

Important notes:

• Vertical Angles Theorem - The angles that are opposite to each other on an intersection of 2 lines are always congruent.

• Linear Pair - The two angles that are formed when a straight line is split. Linear pairs are supplementary angles.

• Supplementary Angles - An angle pair whose total measure = 180°.

Angle 1 is supplementary to the angle with measure 122°.

So, ∡1 = 180 - 122.

∡1 = 58°

Based on the Vertical Angles Theorem, ∡1 ≅ ∡3, so ∡3 is also 58°.

Based on the Vertical Angles Theorem, ∡2 ≅ 122°, so ∡2 = 122°.

∡1 = 58°

∡2 = 122°

∡3 = 58°

Answer:

(4) multiply 3 by 4

Step-by-step explanation:

(2-3•4+5)²

Firstly multiply 3 by 4

(2-12+5)²

Then add 2 and 5

(-12+7)²

Now subtract -12 from 7

-5²

= (-5)(-5)

= 25

Thus, the first step in simplifying the expression (2-3•4+5)^2 is (4) multiply 3 by 4.

Answer:

34 mph Is correct answer

Step-by-step explanation:

Average speed = total distance / total time

Total distance = ( 40 × 2 + 30 × 3 )

= 170 miles

Total time = 5 h

So, avg speed = 170/5 = 34 mph

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

I may be wrong but i think it's -27

Step-by-step explanation:

-3 ( p - q) exponet of 2

Pemdas : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Parentheses

-3 (p - q) exponet of 2

-3 ( 5 - 2 )  exponet of 2

-3 ( 3 )  exponet of 2

Exponents

-3 ( 3 )  exponet of 2

-3 ( 3 )  exponet of 2 = -3 (3 x 3 = 9)

-3 (9)

Multiplication

-3 (9)

Answer: -27

Answer:

27 23/25

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

base = b = 11

height = h = 2

Step-by-step explanation:

.5 * b * h = 11

.5 * (4h + 3) * h = 11

(4h + 3) * h = 22

4h2 + 3h = 22

4h2 + 3h - 22 = 0

(4h + 11) (h - 2) = 0

h = -11/4 OR h = 2

Answer:

54 Seconds per question

Step-by-step explanation:

45/50*60

Answer:

138-90=48

48/8=6

6 kil I s per month

or 13.2 pounds per m o nth appoximztly

Answer:

.04 inches squared

Step-by-step explanation:

1/5 of an inch is .2

A = Length times Width

Since squares have 4 equal sides, its length is equal to its width.

0.2 times 0.2 = .04 in^[tex]^{2}[/tex]