On his bicycle, Trevor rode 15 miles in 30 minutes. What was his average rate of speed? ​

I do not understand the second half of the question but 2671 in base 3 is 10122221

Answer:

10122221 base 3

Step-by-step explanaUrtion:

You need to find "k", by isolating/getting "k" by itself in the equation

16.3k + 19.2 + 7.5k = -64.1     First combine like terms, 16.3k and 7.5k

23.8k + 19.2 = -64.1       Subtract 19.2 on both sides

23.8k = -83.3       Divide 23.8 on both sides to get "k" by itself

k = - 3.5

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² - 6 = 10 - x² ( add x² to both sides )

4x² - 6 = 10 ( add 6 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

b {+2}

1111111111111111111111

Answer:

The solution is (2, -2)

Step-by-step explanation:

Let's find out the solution of the system:

10x − 2y = 24

6x + 2y = 8

Describing x in terms of y in the first equation, this way:

10x − 2y = 24

10x = 24 + 2y

x = 2 * (12 + y)/10 (Dividing by 10 at both sides)

x = (12 + y)/5 (Simplifying)

Solving for y in the 2nd equation:

6x + 2y = 8

6 * (12 + y)/5 + 2y = 8

(72 + 6y)/5 + 2y = 8

72 + 6y + 10y = 40 (Multiplying by 5 at both sides)

16y = 40 - 72

16y = -32

y = -2

Solving for x in the 1st equation:

10x − 2y = 24

10x - 2 * -2 = 24

10x + 4 = 24

10x = 24 - 4

10x = 20

x = 20/10

x = 2

The solution is (2, -2)

For this case we have the following equation:

[tex]p + 2p + 3p = 12[/tex]

To solve we follow the steps below:

We add similar terms from the left side of the equation:

[tex]6p = 12[/tex]

We divide between 6 on both sides of the equation:

[tex]p = \frac {12} {6}\\p = 2[/tex]

Finally, we have to:

[tex]5p-1 = 5 (2) -1 = 10-1 = 9[/tex]

Answer:

[tex]p = 2\\5p-1 = 9[/tex]

The weight of 4 screws is 0.1 ounces

Step-by-step explanation:

The problem can be solved by setting up a proportion.

In fact, we know that:

- The weight of 80 screws is 2 ounces

- So we want to find the weight of 4 screws

We can write the following proportion:

[tex]\frac{80}{2}=\frac{4}{x}[/tex]

where

x is the weight of 4 screws

Solving the equation, we find:

[tex]x=\frac{4\cdot 2}{80}=0.1[/tex]

So, the weight is 0.1 ounces.

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Answer:

k = 4

Step-by-step explanation:

The constant of proportionality is found by starting with y = kx, then finding k.

We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation  y = kx, to get:

4 = k x1

k = 4.

So y = 4x

(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)

Answer:

4

Step-by-step explanation:

Answer:

1000%

Step-by-step explanation:

Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.

900 % is the correct answer UvU

Have a good day!

Answer:

Eqn of the problem: 2(3x + x) = 30

Solution: Width = 3.75 inches  and Length= 11.25 inches

Step-by-step explanation:

We are given;

We are required to represent the equation of the problem;

The formula for getting the perimeter of a rectangle is;

Perimeter = 2 (l+w)

In this case;

2(3x + x) = 30

Therefore;

The equation for the problem is;

2(3x + x) = 30

8x=30

Thus;

8x = 30

  x = 3.75 inches

 3x = 11.25 inches

Hence, the with is 3.75 inches while the length is 11.25 inches

Check the picture below.

Answer:

12.3 + 0.61 +100= 112.91

Step-by-step explanation:

All you have to do is make all the values have two place values and then add.

Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: [tex]4x+4>3x-2[/tex]

Part b: [tex]4x+4=3x-2[/tex]

Part c: [tex]4x+4>3x-2[/tex]

Part d: [tex]4x+4>3x-2[/tex]

Explanation:

Part a: Substituting [tex]x=0[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(0)-2 \\&=-2\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(0)+4 \\&=4\end{aligned}[/tex]

The value of [tex]3x-2[/tex] is less than [tex]4x+4[/tex]

Thus, [tex]4x+4>3x-2[/tex]

Part b: Substituting [tex]x=-6[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(-6)-2 \\&=-18-2 \\&=-20\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(-6)+4 \\&=-24+4 \\&=-20\end{aligned}[/tex]

The value of [tex]3x-2[/tex] and [tex]4x+4[/tex] are equal.

Thus, [tex]4x+4=3x-2[/tex]

Part c: Substituting [tex]x=5[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(5)-2 \\&=15-2 \\&=13\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(5)+4 \\&=20+4 \\&=24\end{aligned}[/tex]

The value of [tex]3x-2[/tex] is less than [tex]4x+4[/tex]

Thus, [tex]4x+4>3x-2[/tex]

Part d: Substituting [tex]x=-2[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(-2)-2 \\&=-6-2 \\&=-8\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(-2)+4 \\&=-8+4 \\&=-4\end{aligned}[/tex]

The value of [tex]3x-2[/tex] is less than [tex]4x+4[/tex]

Thus, [tex]4x+4>3x-2[/tex]

Final answer:

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Explanation:

Part a: 4x+4>3x-2

Part b: 4x+4=3x-2

Part c: 4x+4>3x-2

Part d: 4x+4>3x-2

Part a: Substituting x=0, we get,

[tex]\begin{aligned}3 x-2 &=3(0)-2 \n&=-2\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(0)+4 \n&=4\end{aligned}[/tex]

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Part b: Substituting x=-6, we get,

[tex]\begin{aligned}3 x-2 &=3(-6)-2 \n&=-18-2 \n&=-20\end{aligned}\begin{aligned}4 x+4 &=4(-6)+4 \n&=-24+4 \n&=-20\end{aligned}[/tex]

The value of 3x-2 and 4x+4 are equal.

Thus, 4x+4=3x-2

Part c: Substituting x=5, we get,

[tex]\begin{aligned}3 x-2 &=3(5)-2 \n&=15-2 \n&=13\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(5)+4 \n&=20+4 \n&=24\end{aligned}[/tex]

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Part d: Substituting x=-2, we get,

[tex]\begin{aligned}3 x-2 &=3(-2)-2 \n&=-6-2 \n&=-8\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(-2)+4 \n&=-8+4 \n&=-4\end{aligned}[/tex]

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Answer:

x+10/

Step-by-step explanation:

Quotient of 4 =divide by 4

a number increased by 10= x+10

The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.

If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.

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Answer:

71 < 2 · j

Step-by-step explanation:

71 less than twice Julie's age

Use the variable j to represent Julie's age.

71, less than (<) twice (2) and j represents the age

Answer:

x² + y² + 2y - 1 = 0

Step-by-step explanation:

The general form of the equation for the circle:

x² + y² + ax + by + c = 0

Where: a, b and c are constants.

For the given equation:

x² + (y + 1)² = 2

∴ x² + (y + 1) (y+1) = 2

∴ x² + y² + 2y + 1  = 2  ⇒ subtract 2 from both sides

∴ x² + y² + 2y + 1 - 2 = 2 - 2

∴ x² + y² + 2y - 1 = 0

So, the general form of the equation for the circle:

x² + y² + 2y - 1 = 0

Answer:

I believe the answer to this question is: -4Y

Answer:

B. trapezoid

Step-by-step explanation:

The other three have two pairs of parallel sides

Answer:

B

Step-by-step explanation:

Answer:

Every 4 feet in height would be 1 foot in length, so I want to say about 96ft

Step-by-step explanation:

Answer:

2. either of two angles whose sum is 180°.

3. each of the pairs of opposite angles made by two intersecting lines.

4. Two angles are adjacent when they have a common side and a common vertex (corner point) and don't overlap.

5. The acute angle is an angle less than 90°

6. It is more than 90° and less than 180°.

7. an angle of 90°

8. an angle of 180°

Answer:

7 tiles

Step-by-step explanation:

91/13=7

Answer:

7

Step-by-step explanation:

if 91 tile = 13 hot plate

X tile = 1 hot plate

(let X represent the number of tiles for one plate)

cross miltiply: 91×1 =13×X

X = 91/13

X =7 tiles

3,400,000

I thaink but not shore if wrong i'm sorry

Answer:

666.6

Step-by-step explanation:

1.666666667*10^10^3= 666.6

The simplified form of n-6p³ is n-6p³.

To simplify the expression n-6p³, we need to combine like terms. Since n and 6p³ do not have any common factors, the simplified form of the expression is n-6p³.

Answer:

311

Step-by-step explanation:

you could try to round it for example 510-200=310

310+3=313

313-2=311

Answer:

I believe the answer to this question is: 100.

Answer:

60(if you sell all)

Right now you have: 41 dollars

Step-by-step explanation:

Answer: you will have 41 dollars.

Step-by-step explanation:

because if you had 60 chocolate and now you had 19 left you sold 41 chocolate bars and you multiply that by how much there are which is 1 dollar and 41 time 1 is 41.

Answer: 3753

explanation:  Mean is the average so divide 3753 by 100 to get 37.53.

Answer:

x ≤ 8

Step-by-step explanation:

The number of ounces of water x that Will could have poured into each cup is 8 or less than 8. by solving through inequality.

Inequality is just like equation which expresses relationship between two or more variables but it is in greater than or less than form. It is just like:

x+ y<c.

Let the capacity of each cup be x.

According to question

16x+16<=144

16x<=144-16

16x<=128

x<=8.

Hence the number of ounces of water that Will could have poured into each cup is 8 or less than 8.

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