Using a riding lawn mower, Shane, the landscaper of a large park, can mow the lawn in 8 hours. With a small mower, her assistant Matt needs 14 hours to mow the same lawn. If Shane and Matt work together mowing the lawn, how long will it take them to mow the lawn?

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

Answer:

Hey there! The answer's 'no' :)

Step-by-step explanation:

"On the first level, she earned 3 energy points and 8 stars."

The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.

"On the second level, she earned 2 energy points and 5 stars."

The ratio here is 2:5. We also can't simplify this.

By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!

Answer:

  $21.83

Step-by-step explanation:

The amount spent will be the difference between the starting balance and the ending balance:

  18.53 -(-3.30) = 18.53 +3.30 = 21.83

You spent $21.83 on lunch this week.

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

Answer:

(-4,-4)

Step-by-step explanation:

Since y=x,plug in x for y in equation 2

x²+x²=32

2x²=32

x²=16

x=√16=±4

So one solution is (4,4) and another is (-4,-4)

Answer:

i really cant tell you

Step-by-step explanation:

sorry

Answer:

Option B is correct.

Step-by-step explanation:

Our expression is:

Let's check all of our options to see if any option is accurate.

Option A:

(n + 8)(n + 11)

=> n² + 11n + 8n + 88

=> n² + 19n + 88

n² + 19n + 88 ≠ n² + 26n + 88

Option B:

(n + 4)(n + 22)

=> n² + 22n + 4n + 88

=> n² + 26n + 88

=> n² + 26n + 88 = n² + 26n + 88 ✔

Option C:

(n + 4)(n + 24)

=> n² + 24n + 4n + 96

=> n² + 28n + 96

=> n² + 28n + 96 ≠ n² + 26n + 88

Option D:

(n + 8)(n + 18)

=> n² + 18n + 8n + 144

=> n² + 26n + 144

=> n² + 26n + 144 ≠ n² + 26n + 88

Conclusion:

So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped

Answer:

B

Step-by-step explanation:

edge 22'

Answer:

c. is correct

Step-by-step explanation:

hipe its attachments

Answer:

well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

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Answer:

-3/12

Step-by-step explanation:

To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex]  to find the slope.

plug in the coordinates: 7,5

-5,8

[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]

Have a wonderful week!

The speed of the car is 41.7 m/s when the power is 1890 watts.

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

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Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

19/50

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Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation

Answer:

a

Step-by-step explanation:

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets

Answer:

The answer is D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer

Answer:

1/6

Step-by-step explanation:

1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.

Answer:

Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think

Step-by-step explanation:

#1

y is decreasing

[tex]\\ \sf{:}\dashrightarrow \dfrac{x-y}{x}(100)=\dfrac{1}{5}(100)=1(20)=20\%[/tex]

#2

y is increasing

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{8}(100)=37.5\%[/tex]

Answer:

d = h x 3+2

Example

The formula h=d/3+2

h = 15

d = h x 3+2

d = 15 x 3+2

d = 15 x 5

d = 75

To check the answer is correct

h = 75/5

h = 15

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

Answer:

10.25

Step-by-step explanation:

You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25

Answer:

-53

Step-by-step explanation:

(x+2)

x^4 =       -2^4 = 16

15x^3 =     15* (-2)^3 = -120

6x^2 =       6(-2^2) = 24

12x =        12*(-2) = -24

substitute into equation:

x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53

Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3

Divisor = x+2

We know that

Remainder Theorem:

Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).

So, P(x) is divided by (x+2) then the remainder is P(-2).

P(-2) =

⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3

⇛ 16+15(-8)+6(4)+72+3

⇛16-120+24+72+3

⇛ 67-120

⇛ -53

P(-2) = -53

Answer:- The remainder is -53.

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