find three consectutive integers such that the sum of the second and third is -17

Answer:

8

Step-by-step explanation:

negative times a negative equals a positive

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

Looking at the first system of equations,

16x - 10y = 10

-8x - 6y = 6

If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.

-8x - 6y = 6

⇒   2 (-8x - 6y) = 2 (6)

⇒   -16x - 12y = 12

By combining this new equation with the first one, we can eliminate x and solve for y :

(16x - 10y) + (-16x - 12y) = 10 + 12

⇒   -22y = 22

⇒   y = -1

Then we just solve for x by replacing y in either equation.

16x - 10y = 10

⇒   16x - 10 (-1) = 10

⇒   16x + 10 = 10

⇒   16x = 0

⇒   x = 0

The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.

If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:

16x - 10y = 10

⇒   3 (16x - 10y) = 3 (10)

⇒   48x - 30y = 30

And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):

-8x - 6y = 6

⇒   -5 (-8x - 6y) = -5 (6)

⇒   40x + 30y = -30

Now combining the two scaled equations gives

(48x - 30y) + (40x + 30y) = 30 + (-30)

⇒   88x = 0

⇒   x = 0

We then solve for y :

16x - 10y = 10

⇒   -10y = 10

⇒   y = -1

so we end up with the same solution as before.

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

64/24

32/12

16/6

8/3

8:3

Hope This Helps!!!

Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.

Step-by-step explanation:

Answer:

(7−2)(3)(24−11)

=(5)(3)(24−11)

=15(24−11)

=(15)(13)

=195

Step-by-step explanation:

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7       (we won't use the other factor since it would give us a negative length

so length = 7

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

Answer:

7/3

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

3x + 2y = 6 can be written as y = -3/2x +3

4y = -6x -12 can be written as y= -3/2x-3

same slope different y intercept so parallel

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Answer:

60°

Step-by-step explanation:

180° in a triangle.

180° ÷ 3 = 60°

The measure of each of the given angles of a triangle is 60°.

Given is that all three angles of a triangle are congruent.

Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -

∠A = ∠B = ∠C = X°

and also we can write -

X° + X° + X° = 180°

3X° = 180°

X° = 60°

Therefore, the measure of each of the given angles of a triangle is 60°.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

#SPJ2

dang this looks so confuseing

Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

hope this answer helps you dear take care!

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards

[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]

Answer:

the Answer is C

Step-by-step explanation:

We are given –

As we know that –

[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]

According to the question –

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]

Substituting the value of w–

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]

[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]

__________________________________________

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

Answer:

No solution

Step-by-step explanation:

Create an equation with the values given. Solve like an algebraic question.

11 > 3*x = 75> -1*x

3*x and -1*x should lead to a value greater than 11.

Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.

No solution.

Answer:

I’d go with number 2 and number 4.

Answer:

D

Step-by-step explanation:

i may be wrong. if i am, sorry. but a vertice is basically just a point.

The vertices of the given triangle PQR are P, Q and R. Therefore, the correct answer is option D.

A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.

Vertices of the triangle are represented by letters.

In triangle PQR, vertices are P, Q and R.

Therefore, the correct answer is option D.

Learn more about the triangle here:

brainly.com/question/2773823.

#SPJ2

Answer:

72 Leafs

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

23% of 45 = 10.35

10.35 / 4.5 = 2.3

2.3 x 100 = 230

Step-by-step explanation:

it will be equal 230 as in the shown photo

Answer:

Step-by-step explanation:

Box

Area of the box

Area = s^2

s = 12 inches

Area = 12^2

Area = 144

Pizza

Area = pi r^2

Area = 3.14 * 5^2

Area = 25 * 3.14

Area = 78.5

Difference = 144 - 78.5

Difference = 65.5