Martin had 7 pounds of grapes left, and he gave away 2/5 of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.

The percentage of blue cars in the lot is the ratio of the number of blue cars to the total number of cars in each lot ; Hence, lot D has the greatest percentage of blue cars

Percentage of blue cars in each lot :

Lot A :

% blue cars = 15 / 36 = 0.4167

Lot B :

% blue cars = 43 / 92 = 0.4673

Lot C :

% blue cars = 12 / 30 = 0.40

Lot D :

% blue cars = 32 / 52 = 0.615

Therefore, lot D has the greatest percentage of blue cars.

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Answer:

Step-by-step explanation:

To find the 35% of 63, we first should transform the percentage in a fraction, and then operate.

SO, we know that

[tex]35\%=\frac{35}{100}[/tex]

Multiplying this with 63, we have:

[tex]n=\frac{35}{100}63=0.35(63)=22.05[/tex]

Therefore the right answer is the second choice.

The expression equivalent to -8+7.25-6+0.5 is calculated by first adding the positive numbers to get 7.75, then adding the negative numbers to get -14, and finally combining these to get an equivalent expression of -6.25.

To find an expression equivalent to -8+7.25-6+0.5, you need to perform addition and subtraction operations in the order they appear because they have the same level of precedence. Adding positive and negative numbers together is simplified by combining like terms, often starting with the positive numbers for easier calculation.

First, add the positive numbers together: 7.25 + 0.5 equals 7.75. Next, add the negative numbers: -8 + (-6) equals -14. Finally, combine the sum of the positive numbers with the sum of the negative numbers: 7.75 + (-14) equals -6.25.

The equivalent expression is hence -6.25.

the answer is c

i hope it helped!

Jones Middle School will have more students than Roberts Middle School after 9 months.

To find out after how many months Jones Middle School will have more students than Roberts Middle School, we need to determine the point at which the number of students at Jones Middle School exceeds the number of students at Roberts Middle School. Let's calculate the number of months it takes for this to happen:

Number of students at Jones Middle School = 850 + 5n (n represents the number of months)

Number of students at Roberts Middle School = 985 - 10n (n represents the number of months)

We need to find the value of n when the number of students at Jones Middle School is greater than the number of students at Roberts Middle School:

850 + 5n > 985 - 10n

Simplifying the inequality:

15n > 135

n > 9

Therefore, after 9 months, Jones Middle School will have more students than Roberts Middle School.

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Answer:

Step-by-step explanation:

78

To find out how many images 7 memory sticks can hold, multiply the number of images one memory stick can hold by the number of memory sticks.

To find out how many images 7 memory sticks can hold, we need to multiply the number of images one memory stick can hold by the number of memory sticks. In this case, each memory stick can hold 491 images, so to find out how many images 7 memory sticks can hold, we calculate:

Number of images = Number of memory sticks × Number of images per memory stick = 7 × 491 = 3437 images

Therefore, 7 memory sticks can hold 3437 images.

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The decimal that needs to be added to 0.0545454 to get 0.1545454 is 0.1. This was determined by subtracting 0.0545454 from 0.1545454.

The student asked: What decimal can be added to 0.0545454 to get 0.1545454? The solution requires simple subtraction. You need to subtract the given number (0.0545454) from the result you want to achieve (0.1545454). So the calculation is as follows:

0.1545454 - 0.0545454 = 0.1000000

Therefore, the decimal that needs to be added to 0.0545454 to result in 0.1545454 is 0.1.

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Answer:

1.6 hours or 1 hour 36 minutes

Step-by-step explanation:

We have been given an equation [tex]t=\frac{1}{500}d[/tex], where d represents distance traveled in miles and t represents time in hours.

To find the time taken by the flight to travel 800 miles, we will substitute [tex]d=800[/tex] in our given equation as:

[tex]t=\frac{1}{500}\times 800[/tex]

[tex]t=\frac{800}{500}[/tex]

[tex]t=\frac{8}{5}[/tex]

[tex]t=1.6[/tex]

1 hour equals 60 minutes.

0.6 hours = 0.6*60 minutes = 36 minutes.

Therefore, it will take the plane 1.6 hours or 1 hour 36 minutes to travel 800 miles.

Using the equation, it is found that it will take 1.6 hours for the airplane to travel 800 miles.

The equation that relates the time in hours needed to travel d miles is given by:

[tex]t = \frac{1}{500}d[/tex]

In this problem, we want the time needed to travel 800 miles, thus [tex]d = 800[/tex], and:

[tex]t = \frac{1}{500}(800) = \frac{800}{500} = 1.6[/tex]

It will take 1.6 hours for the airplane to travel 800 miles.

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We have that for the Question "A scooter travels 30 ft in 2 seconds.  

What is the speed of the scooter in feet per second?

" it can be said that the speed of the scooter in feet per second is mathematically given as

V=15ft/s

From the question we are told

A scooter travels 30 ft in 2 seconds.  

What is the speed of the scooter in feet per second?

Generally the equation for the speed of the scooter in feet per second is mathematically given as

[tex]V=\frac{v}{s}\\\\Therefore\\\\V=\frac{v}{s}\\\\V=\frac{30}{2}\\\\[/tex]

V=15ft/s

Therefore

the speed of the scooter in feet per second is mathematically given as

V=15ft/s

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The number of ounces left after one brick is sold is 591.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Willard gold nuggets = 788 ounces

The number of equal-sized bricks = 4

Now,

The number of ounces in each of the 4 bricks.

= 788/4

= 197 ounces

Number of bricks sold = 1

The remaining ounces.

= 788 - 197

= 591 ounces

Thus,

The number of ounces left is 591.

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In mathematics, the roster form is when we call a group of set members that is placed inside between brackets, and is separated by commas. So in this case, natural numbers which are less than 8 are 1 to 7, hence the roster form is:

{1, 2, 3, 4, 5, 6, 7}

the solution to the system of equations by graphing is [tex]\( (0,1), (-5/2,6) \)[/tex]

The correct option is (C).

The generated image above represents a graphical solution to the system of equations given:

[tex]\[ y = 2x^2 + 3x + 1 \][/tex]

[tex]\[ y = -2x + 1 \][/tex]

However, the graph does not clearly show the exact points of intersection between the parabola and the line. To find the solutions accurately, we would typically set the two equations equal to each other and solve for [tex]\( x \)[/tex]:

[tex]\[ 2x^2 + 3x + 1 = -2x + 1 \][/tex]

Solving this equation algebraically will give us the [tex]\( x \)[/tex]-coordinates of the points of intersection. The corresponding [tex]\( y \)[/tex]-values can then be found by substituting these [tex]\( x \)[/tex]-values back into either of the original equations.

Since I cannot perform this algebraic computation at the moment, you can solve the equation using the following steps:

1. Move all terms to one side of the equation to set it to zero.

2. Solve the resulting quadratic equation, either by factoring, completing the square, or using the quadratic formula.

3. Substitute the [tex]\( x \)[/tex]-values back into one of the original equations to find the [tex]\( y \)[/tex]-values.

Therefore, the correct option that represents the solution to the system of equations by graphing is:

C. [tex]\( (0,1), (-5/2,6) \)[/tex]

complete question given below:

Solve the system by graphing. y=2x^2+3x+1 y=-2x+1

A. (1,3), (4,7)

B. (1,3), (1/2,3)

C. (0,1), (-5/2,6)

D. (-5,5), (4,-2)