How many solutions does the system have?
y= -2x - 4

y= 3х + 3

Answer:

Step-by-step explanation:

Quotient is 1.

Remainder = 27.

Answer:

Total amount = £56

Step-by-step explanation:

Let Henry and Gavin be H & G respectively.

Let Henry's and Gavin's share be x.

Given the following data;

Ratio of H to G = 5:3

Henry = G + £14

Translating the word problem into an algebraic expression, we have;

5x = 3x + 14

5x - 3x = 14

2x = 14

x = 14/2

x = £7

Next, we determine the amount earned by Gavin;

Gavin = 3x

Gavin = 3*7

Gavin = £21

For Henry;

Henry = G + £14

Henry = £21 + £14

Henry = £35

Now, to find the total amount earned by Henry and Gavin.

Total amount = H + G

Total amount = 35 + 21

Total amount = £56

Answer: 4 over 5 is not a whole number and so it cannot be expressed as a whole number.

Step-by-step explanation:

Answer:

6+8-2=12, 15-12=3 answer=3

Answer: C

Step-by-step explanation:

Answer:

I don't know exactly what the question is asking but below is a list of the factor pairs of 96

Step-by-step explanation:

1 x 96 = 96

2 x 48 = 96

3 x 32 = 96

4 x 24 = 96

6 x 16 = 96

8 x 12 = 96

Good luck! <3

Answer:

Factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Step-by-step explanation:

Answer:

5.33%

Step-by-step explanation:

Answer:

5.33%

if not it cpuod be 5.32% most likely to be the forst one

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

-20.6

Step-by-step explanation:

Answer:

I got -8

Step-by-step explanation:

you do the bottom first -10-7 which is -17

and then do 136/ -17 and you get -8

Answer: 30

Step-by-step explanation:

Answer:

80 cm^3 = V

Step-by-step explanation:

The volume of a rectangular pyramid of base area A and height h is

V = (1/3)(base)(height).

Given that the dimensions of the base are L = 10 cm and W = 4 cm, the base area is 40 cm^2.

The height of the pyramid is h = 6 cm.

Therefore the volume of this particular pyramid is

V = (1/3)(40 cm^2)(6 cm), or V = 80 cm^3

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

In order to solve this problem, you first need to identify whether or not the two triangles formed in the image are similar; you can tell that they are similar by the AAA property because they share a vertex, and the other two angles are congruent because of the Corresponding Angles Theorem. Now that you know the triangles are similar, you need to identify the corresponding sides:

x + 6 corresponds to x

21 corresponds to 9 (21 because 30 - 9 = 21)

You can find the scale factor by dividing 21 by 9:

21 ÷ 9 = 7/3

Now that you know the scale factor, you can write and solve an equation:

7/3x = x + 6 (given)

4/3x = 6 (subtract x from both sides)

x = 9/2 (multiply both sides by 3/4)

Answer:

The area of LQM is [tex]48cm^2[/tex]

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * PN[/tex]

Substitute 8 for Area

[tex]8 = \frac{1}{2} * PQ * PN[/tex]

[tex]PQ * PN = 16[/tex]

The area of LPQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * LP[/tex]

Substitute 16 for Area

[tex]16= \frac{1}{2} * PQ * LP[/tex]

From the attachment:

[tex]PN + LP =LN[/tex]

Make LP the subject

[tex]LP = LN -PN[/tex]

So:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]

We have:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]

Equate both expressions:

[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]

Divide both sides by PQ

[tex]\frac{1}{2} (LN - PN) = PN[/tex]

Multiply both sides by 2

[tex]LN - PN = 2PN[/tex]

[tex]LN= 3PN[/tex]

Since PNQ is similar to LNM, the following equivalent ratios exist:

[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]

Substitute [tex]LN= 3PN[/tex]

[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]

[tex]\frac{LM}{PQ} = 3[/tex]

[tex]LM = 3PQ[/tex]

Area of LQM is:

[tex]Area = \frac{1}{2} * LM * LP[/tex]

This gives:

[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]

[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]

Recall that:

[tex]16= \frac{1}{2} * PQ * LP[/tex]

So:

[tex]Area = 3 *16[/tex]

[tex]Area = 48cm^2[/tex]

1) Divide both sides by-4.

[tex]x < - \frac{6y - 54}{4} [/tex]

2) Factor out the common term 6.

[tex]x < - \frac{6(y - 9)}{4} [/tex]

3) Simplify 6(y-9)/4 to 3 ( y - 9) / 2.

[tex]x < - \frac{3(y - 9)}{2} [/tex]

Therefor, the answer for x is x < - 3(y - 9)/2.

[tex] - 4x + 54 > 6y[/tex]

[tex] \frac{ - 4x + 54}{6} > y[/tex]

[tex] \frac{ - 2(2x - 27)}{6} > y[/tex]

[tex] - \frac{2(2x - 27)}{6} > y[/tex]

[tex] - \frac{2x - 27}{3} > y[/tex]

[tex]y < - \frac{2x - 27}{3} [/tex]

Therefor, the answer for Y is y < - 2x-27/3.

Answer:

59755

Step-by-step explanation:

basically you just do 703 x 85 on an calculator and thats the answer

Answer: sqrt(61)

Step-by-step explanation:

For parts a) and c1), refer to the attached picture.

For part b), the distance formula is:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:

d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)

Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.

Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.

Answer:

x=23

Step-by-step explanation:

set them equal to each other since its not same sides

these are alternative exterior

8x-77=3x=38

5x=115

x=23

Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Answer:

6cups

Step-by-step explanation:

Given the equation

1 1/2 + 1/4c=3

We are to find the value of c

3/2 + c/4 = 3

c/4 = 3 - 3/2

c/4 = (6-3)/2

c/4 =3/2

Cross multiply

2c = 3×4

2c = 12

c =6

Hence he adds 6cups of flour

Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

2x+3y=16

3x+4y=22

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

3(2x+3y)=3(16)

-2(3x+4y)=-2(22)

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

6x+9y=48

-6x-8y=-44

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

y=4

2x+3(4)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2

Answer: 6.6

Step-by-step explanation:

The sets of side lengths that can produce a triangle are

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

That is, in a given triangle of sides a, b and c,

a + b ≥ c

Analysing the sets of the side lengths given,

In triangle 2 cm, 7 cm, and 6 cm,

2 + 6 = 8,

Therefore 8cm which is greater than the third side being 7cm makes this side lengths possible to produce a triangle.

In triangle 2 m, 5 m, and 7 m,

2 + 5 = 7

Addition of both sides of the triangle is equal to the third side being 7m.

In triangle 6 ft, 6 ft, and 12 ft,

6 + 6 = 12

Addition of both sides of the triangle is equal to the third side being 12ft

Therefore the sets of side lengths could produce a triangle are

2 cm, 7 cm, and 6 cm

2 m, 5 m, and 7 m

6 ft, 6 ft, and 12 ft

Learn more here:

https://brainly.com/question/18548908

Answer:

[tex](5y + 1)^{2} - (2(y - 1))^{2} [/tex]

Step-by-step explanation:

1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).

[tex](5y + 1) ^{2} - (2(y - 1)) ^{2} [/tex]

2) Use multiplication Distributive Property: (xy)^a = x^a y^a.

[tex](5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} [/tex]

3) Simplify 2² to 4.

[tex](5y + 1 {)}^{2} - 4(y - 1 {)}^{2} [/tex]

4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).

[tex](5y + 1 {)}^{2} - (2(y - 1))^{2} [/tex]

Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².

Answer:

its 3

Step-by-step explanation:

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

Answer:

96 cm

Step-by-step explanation:

Multiply 6x4x4=96

Answer:

B

Step-by-step explanation:

F un gong jjkpjm d gjgyfgdbb

Answer:

Step-by-step explanation:

180-68=112

1= 68

2=112

Answer:

Q1: (-4,0)

Q2: 3

Step-by-step explanation:

Answer:

probability of choosing a card with a sheep on it will be 12.5 out of 25

Hope it helps

Please mark me as brainliest

Thank you

Answer:

c < 7.

Step-by-step explanation:

Number of carrots c is less than 7.