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Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?


28 minutes

23 minutes

20 minutes

24 minutes

Answer:

1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6

Step-by-step explanation:

1)x-4y=-10,2x+y=-11

x-4y=-10

x=4y-10

2\left(4y-10\right)+y=-11

8y-20+y=-11

9y-20=-11

9y=9

y=1

x=4-10

x=-6

x=-6,y=1

2)a-3b=24,a+2b=-16

a-3b=24

a=3b+24

3b+24+2b=-16

5b+24=-16

5b=-40

b=-8

a=3\left(-8\right)+24

a=-24+24

a=0

a=0,b=-8

3)k-j=-7

4j-5k=27,-j+k=-7

4j-5k=27

4j=5k+27

j=\frac{1}{4}\left(5k+27\right)

j=\frac{5}{4}k+\frac{27}{4}

-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7

-\frac{1}{4}k-\frac{27}{4}=-7

-\frac{1}{4}k=-\frac{1}{4}

k=1

j=\frac{5+27}{4}

j=8

j=8,k=1

4)m+n=-3,m-4n=27

m+n=-3

m=-n-3

-n-3-4n=27

-5n=30

n=-6

m=-\left(-6\right)-3

m=6-3

m=3

m=3,n=-6

Answer:

Formula

V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]

With V1 = 640 cm³ and V2=270 m³

[tex]\pi[/tex] = 22/7

=> You can substitute the numbers above to calculate R1 and R2

Step-by-step explanation:

Have fun

Answer:

[tex]\boxed{\text{\sf \Large 4:3}}[/tex]

Step-by-step explanation:

Volume of sphere=4/3πr³

1. 4/3πr³=640

  r=5.346018

  d=10.692036

2. 4/3πr³=270

   r=4.009514

   d=8.019028

Simplify ratio

Answer:

45

Step-by-step explanation:

Answer:

by substituting 0

Step-by-step explanation:

Similarly, any y-intercept will have an x coordinate of 0. Using the standard form of an equation we can easily find the intercepts. To find the x-intercept, we set y=0 and solve for x. To find the y-intercept, we set x=0 and solve for y.

We can complete the given statement as:

When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.

Intercepts are the point of intersection, between the graph of an equation and an axis of the coordinate plane.

We have two intercepts:

In the question, we are asked: when an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting in ____ for each variable.

We know that the x-intercept has a y-coordinate = 0. Thus, when we substitute the value of y = 0, in the equation, we get the x-intercept 'a', as the point (a, 0) satisfies the equation.

We know that the y-intercept has an x-coordinate = 0. Thus, when we substitute the value of x = 0, in the equation, we get the y-intercept 'b', as the point (0, b) satisfies the equation.

Thus, we can complete the given statement as:

When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.

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Answer: option 2 lol

Step-by-step explanation:

Step/Answer:

The mistake begins at the line 3 where distrubting 2 in the expression. line 1 and line 2 both are correct. But line 3 is wrong.

[tex]2 {x}^{2} + 2x - 2 = 2 {x}^{2} - 18 \\ 2 {x}^{2} + 2x - 2 - 2 {x}^{2} + 18 = 0 \\ 2x - 2 + 18 = 0 \\ 2x + 16 = 0 \\ 2x = - 16 \\ x = - 8[/tex]

[tex]2( {x}^{2} - 9) = (2 \times {x}^{2} ) + (2 \times ( - 9)[/tex]

From line 3, you forgot to distribute 2 in -9.

Answer:

129.05 is your answer.

Step-by-step explanation: Final price: $129.05

Saved amount: $15.95

Hey there!

The answer to your question is x = 7

We can solve this by simplifying both sides of the equation:

2x - 6 = 8x - 48

Then, add 48 to both sides:

2x + 42 = 8x

Then, subtract 2x from both sides:

42 = 6x

Lastly, divide both sides by 6:

7 = x

Hope it helps! Have a great day, and good luck on your assignment!

Answer:

between one and 6

Step-by-step explanation:

musrbe the answer

Answer:

Just plot one point on (0, 5) and the other one on (6, 8)

Step-by-step explanation:

You just plot (0, 5) then you go 1 up and 8 to the right and plot another point there.

Hope it helps!

Answer:

I do not have a graph rn but I hope I helped

Step-by-step explanation:

well, yo just have to find 0.25 on the graph, mark it then do the same for -5.25 and 5.5

Answer

q≤ -11

thats your answer i believe, just typing this because it said it was too short to post

Answer:

[tex]\mathrm{A.\: 39.3}[/tex]

Step-by-step explanation:

Let [tex]h[/tex] represent the height of the two smaller triangles in this figure. Because all three triangles are similar, we can set up the following proportion:

[tex]\frac{33}{h}=\frac{h}{y}[/tex], for [tex]y=x-33[/tex].

We can solve for [tex]h[/tex] using the Pythagorean theorem on the second largest triangle:

[tex]33^2+h^2=36^2,\\h=\sqrt{36^2-33^2},\\h=\sqrt{207}[/tex].

Now plugging in [tex]h=\sqrt{207}[/tex] into our proportion [tex]\frac{33}{h}=\frac{h}{y}[/tex], we can solve for y:[tex]\frac{33}{\sqrt{207}}=\frac{\sqrt{207}}{y}[/tex].

Cross-multiply to get:

[tex]33y=207,\\y=\frac{207}{33},\\y\approx 6.3[/tex].

Since we [tex]y=x-33, y+33=x[/tex].

Therefore, our answer is:

[tex]x=33+y=33+6.3=\fbox{$\mathrm{A.\: 39.3}$}[/tex].

Answer:

Step-by-step explanation:

Let the rock be r and the fossil be f

Equations

Double the second equation and subtract the first one:

Then find f:

So you collect 4 rocks and 16 fossils

Friend collects:

Answer:

its the thrid one

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6 is answer

Step-by-step explanation:

Answer:

$3,600

Step-by-step explanation:

To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.

Doing so, we get: $270 over 0.075 = $3,600

Answer:

c

Step-by-step explanation:

Answer: distance from 15.3 to zero on a number line

Step-by-step explanation:

The length is 12 cm and width is 9 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 108 cm²

and, The length of a rectangle is 3 cm greater than its width.

let the width of rectangle be x.

so, length = x+ 3

So, Area of Rectangle = l x w

108 = x(x+ 3)

x² + 3x -108 = 0

x² + 12x - 9x  -108 = 0

x( x+ 12) -9 ( x+ 12)= 0

(x + 12)(x- 9)=0

x= -12, +9

So, length is 12 cm and width is 9 cm.

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Answer:

4(x+3)²+4

Step-by-step explanation:

4x²+24x+40=0

using the equation above

a:4 b:24 c:40

4(x+(24÷2x4))² + (40-(24²÷4x4))

4(x+3)²+(40-36)

4(x+3)²+4

Answer:

55 pirates

121 pirates

Step-by-step explanation:

Every 11 pirates for one pirate ship.

5 * 11 = 55

Therefore, it would be 55 pirates

11 * 11 = 121

Therefore, it would be 121 pirates

Answer:

b

Step-by-step explanation:

-^-

Answer:

Slope: -5/4

y-intercept: 5

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Answer:

The two expressions A and B are equivalent because the value of both expressions is same.

Step-by-step explanation:

Given: Expression A is 5(4+9) and expression B is 29+36.

To find: The reason why expressions A and B are equivalent.

First we solve expression A.

[tex]5(4+9)=5*4+5*9[/tex]          (using [tex]a(b+c)=a*b+a*c[/tex])

⇒[tex]5(4+9)=20+45[/tex]

⇒[tex]5(4+9)=65[/tex]

Now we solve expression B.

[tex]29+36=45[/tex]

Clearly, the value of both the expressions is same.

Hence, the expression A is equivalent to expression B.

Answer:

u should use des mos . com

answer: 2x − 2 < y < 2x + 3

Graph a dashed line, then shade the area below the boundary line since  y  is less than  2x + 3

.

Answer:

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Answer:

18/12= 1.5

Step-by-step explanation:

divide the larger inch by the smaller one so we get a ratio of 18:12

or 1.5:1

where the bigger one is 1.5 times larger for every inch of smaller pie

Answer:

The unknown angle is 65°

Step-by-step explanation:

Let the unknown angle be y

40°+75°+y = 180°

y = 180°-115°

y = 65°

Therefore, the unknown angle is 65°