Which is true of the multiples of a prime number?
A prime number has only one multiple: itself.
A prime number has two multiples: 1 and itself.
A prime number has exactly three multiples.
A prime number has an infinite number of multiples.

Answer:

The dot would be at (4, 6)

Step-by-step explanation:

To graph the line that represents the proportional relationship between the number of slices of pizza purchased and the total cost, divide the change in total cost by the change in the number of slices. In this case, the line passes through the points (4, 6) and (0, 0) with a slope of 1.5.

To graph the line that represents the proportional relationship between the number of slices of pizza purchased and the total cost, we need to identify the slope of the line. The slope represents the rate of change of the total cost with respect to the number of slices. In this case, we can calculate the slope by dividing the change in total cost by the change in the number of slices.

Given that the student bought 4 slices of pizza for $6.00, we can create two points on the line: (4, 6) and (0, 0). The first point represents 4 slices purchased for $6.00, and the second point represents 0 slices purchased for $0.00.

To calculate the slope, we use the formula (change in y)/(change in x), which gives us (6-0)/(4-0), resulting in a slope of 6/4 or 1.5.

Therefore, the line that represents the proportional relationship is a straight line passing through the points (4, 6) and (0, 0) with a slope of 1.5.

Answer: 700

Step-by-step explanation:

The required inequality to calculate the number of additional toys needed to meet the goal of more than 1000 toys and  additional condition is shown in the inequality '300 + x > 1000'.

The goal of the toy drive is to collect more than 1000 toys.

Given that 300 toys have already been collected, we want to find out how many more toys are needed to meet this goal.

To represent this situation, we can set up an inequality where x represents the number of toys still needed.

The inequality would be 300 + x > 1000.

Solving for x, we subtract 300 from both sides to isolate x, which gives us x > 700.

This means that the toy drive needs more than 700 additional toys to meet its goal of donating more than 1000 toys.

Answer:

Step-by-step explanation:

Three

3a

Two lines that have slopes where 1 is the negative of the other will intersect some where once and only once. I've included a graph for this.

3b

If you multiply the top line by 2 you get the bottom line. They are the same line. There's an infinite number of solutions.

3C

They will intersect once. On your paper just extend both lines. They intersect.

3D

If they are parallel, they never intersect. No solution.

Four

what's at the tail end of four. y = 1/2x - ???? I'll give it a value. You'll have to change the value to get it to work properly.

A

m: y = 1/2x - 4   The 4 is mine. Change it to what it says.

n: y =  1/2x - 8    Any value except - 4 will work.

B

m: y = 1/2x - 4

n : -2y = -x + 8           They are really the same equation. n = -2*m

C

m: y = 1/2 x - 4

n: y = x + 3

I'm going to let you work your way through 5. There should be enough in 3 and 4 to get five.

Five

A: False

B: This question is not true, but you probably don't have enough math to say why. Bend your right arm so it is parallel to your belt. Above that "line" bend your left arm so it is over the right arm in just one place. The left arm should be pointing towards the wall of your room. Those two are not parallel nor do they have  any meeting place.

C: True

D: False

Answer:

3/4

Step-by-step explanation:

Answer:

-3/4 I think hope this helps

Answer:

Step-by-step explanation:

On Monday: $2 on lunch.

On Tuesday: $1 on a snack.

On Wednesday: her siter gave her $3.

Now, before we graph the integers, first you need to think about those number and their meaning. If the number represents debt or expenses, then it must be a negative number. But, if the number represents money received, then it must be a positive number.

So, we have the following integer: -2, -1, 3.

If we graph these integers, it would be like the images attached shows.

Answer:

13 bowls

Step-by-step explanation:

To figure out how many bowls of nuts she can make, we divide how many cups of nuts she has by how many cups of nuts in a bowl

3 3/8 ÷ 1/4

Lets change 3 3/8 into an improper fraction

3 3/8 = (8*3 +3)/8 = 27/8

27/8 ÷ 1/4

Copy dot flip

27 /8 * 4/1

27/2

2 goes into 27 13 times with 1 left over

13 1/2

She will have 13 full bowls of nuts

Answer:

14/6

Step-by-step explanation:

To find the slope, we can put it into slope intercept form. So 6y=14x+5. So y=14/6+5/6.

Answer:

6

Step-by-step explanation:

the rate of change is given by the slope of the line

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

f(x) = 6x - 5 is in this form

with slope m = 6 ← rate of change

Answer:

6

Step-by-step explanation:

We are given the function f(x) = 6x-5 for which we have to determine its rate of change.

The rate of change is given by the slope of a line.

We know that the standard form of an equation of a line is given by:

y = mx + c

where m is the slope.

If we observe the given function, we can notice that is in the form y = mx + c where the slope (m) is 6.

Therefore, the rate of change for the function f(x) = 6x - 5 is 6.

Answer:

B 7

Step-by-step explanation:

Since the triangles are similar by AAA

We can use ratios to find the length x (which is PR)

5                 15

-------- = ------------

x               21

Using cross products

5 * 21 = 15 *x

Divide each side by 15

5/15 * 21 = 15x/15

1/3 * 21 =x

7 =x

Answer:

here is how i did it.

Answer:

2.5 miles per hour

Step-by-step explanation:

ok, so we already know how long she walked in 1/2 hour and we need to find out how many miles in one full hour. So, i multiplied 1 1/4 times two to make up the one full hour and I got 2.5 miles. So the rate is 2.5 mph.

Speed of walking is 2.5 miles per hour

Given that;

Time taken to walk = 1/2 hour = 0.5 hour

Distance cover = 1¹/₄ = 5 / 4 = 1.25 miles

Find:

Speed of walking

Computation:

Speed of walking = Distance cover / Time taken

Speed of walking = 1.25 / 0.5

Speed of walking = 2.5 miles per hour

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Answer:

-75.77

Step-by-step explanation:

finding the difference is just finding the distance between two points

your two points are 66.830 and 142.6

so subtract 66.830 from 142.6 and you will get -75.77 depending on the question it could be positive or negative.

Answer:

75.77

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

All circles are similar and therefore proportional. C/C' is the ratio of Circle C to Circle C'. Since it is 0.75, this means that C is 75% of C'. We know that radius of C will also be 75% of the radiuc of C'. We can the radius because we know the diameter of Circle C is 6. The radius is therefore 3. 3 is 75% of 4. So r/r' or 3/4=0.75. r/ must be 4.

Answer: B) 4

Step-by-step explanation:

Got this right on USA test prep

Answer:-8.1111111

Step-by-step explanation:

Answer:

Number of permutations = 5040

Step-by-step explanation:

We are given the word 'INNOVATIVE', that has total 10 letters.

Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.

Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)

i.e. [tex]10_{P_{4} }[/tex]

= [tex]\frac{10!}{(10-4)!}[/tex]

= [tex]\frac{10!}{6!}[/tex]

= [tex]\frac{10*9*8*7*6!}{6!}[/tex]

= 10*9*8*7

= 5040

Answer: 5040

Step-by-step explanation:

npr = n! / (n - r)!

numbers of letters given = 10

permutation that can be formed using 4 letters at a time= 10 P ₄

=10! / (10 - 4)! = 10! / 6!

= 10 ×9 ×8×7 ×6! /6! ( the 6! will cancel out)

= 10×9 ×8×7=5040

Therefore, the number of permutations are 5040

Answer:

The correct answer is option (C).

Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 > -48.1

Step-by-step explanation:

We have been given the freezing temperatures of cottonseed oil and coconut oil. The freezing temperature of cottonseed oil is -48.1 degree celsius and the same for coconut oil is 24.8 degree celsius.

We are supposed to compare the two freezing temperatures. We know that 24.8 is higher than -48.1, therefore, we can conclude that freezing temperature of coconut oil is higher than the freezing temperature of cottonseed oil because 24.8 is more than -48.1. Thus, correct answer is option (C).

Answer:

C

Step-by-step explanation:

Answer: 100/1220*792= 64.9 have cell phones.

Step-by-step explanation:

Answer:

The percentage of students with cell phone is 64.92%

Step-by-step explanation:

Given

Sample Size = 1,220

Number of student with cell phones = 792

Required

Percentage of students with cell phone

To calculate the percentage of students with cell phone, we take a ratio of the number of students with cell phone to the sample size.

Mathematically, this is represented as

[tex]Percentage = \frac{Students-with-cell-phone}{Sample Size}[/tex]

By Substitution,

[tex]Percentage = \frac{792}{1220}[/tex]

[tex]Percentage = 0.64918032786[/tex]

[tex]Percentage = 64.918032786[/tex]%

[tex]Percentage = 64.92[/tex]% Approximated to nearest hundredth

Hence, the percentage of students with cell phone is 64.92%

Answer:

B.

Step-by-step explanation:

The original function in 8 wide, the new function is 4 wide. That means the original function was shrunk by half (4/8)

(x,y)--> (1/2x, 1/2y) represents the dilation.

Dilation defines changing the size of an object without changing its shape.

This problem can be solved by following steps

= 1/2*8

= 4 units.

Y-axis of grey figure = 1/2*Y-axis of Black figure

= 1/2*8

= 4 units

Therefore,

(x,y)--> (1/2x,1/2y) represents the dilation.

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Answer:

2x + 7 = 3x - 5

Step-by-step explanation:

Since triangle RTS is isosceles, RT is congruent to RS. So you can set up the equation 2x + 7 = 3x - 5 to find x. Then you can input the value of x into 2x +7 or 3x - 5 to find the measure of the congruent sides.

Answer:

20 lbs

Step-by-step explanation:

Final answer:

The volume of a cylinder with a diameter of 6m and a height of 5m is calculated using the formula V = πr²h. With a radius of 3m, the volume is 141.39m³.

Explanation:

To find the volume of a cylinder with a diameter of 6m and a height of 5m, we first need to calculate the radius of the cylinder. The radius is half of the diameter, so in this case, the radius (r) is 3m. The formula for the volume (V) of a cylinder is V = πr²h, where π (pi) is approximately 3.142, r is the radius, and h is the height of the cylinder.

Using this formula, we get:

V = π × (3m)² × 5m

V = 3.142 × 9m² × 5m

V = 3.142 × 45m³

V = 141.39m³

Therefore, the volume of the cylinder is 141.39 cubic meters.

To find the fraction of candies that are either grape or lemon flavored, we add the fractions representing each flavor: 2/5 for grape and 3/10 for lemon. After finding a common denominator, we get 4/10 + 3/10, yielding 7/10 of the candies being either grape or lemon-flavored.

To find the fraction of candies that are either grape-flavored or lemon-flavored, we need to add the fractions that represent each flavor. We are told that 2/5 of the candies are grape-flavored and 3/10 are lemon-flavored.

First, we need a common denominator to add these two fractions. The least common denominator for 5 and 10 is 10. We can convert 2/5 to a fraction with a denominator of 10 by multiplying both the numerator and denominator by 2. This gives us 4/10. Now we can add:

4/10 (grape flavored)

+ 3/10 (lemon flavored)

= 7/10 (either grape or lemon flavored)

Hence, the fraction of the candies that are either grape-flavored or lemon-flavored is 7/10.

Answer:

m = 1

Step-by-step explanation:

distribute and simplify the left side of the equation

m + 8m - 12 = - 3

9m - 12 = - 3 ( add 12 to both sides )

9m = 9 ( divide both sides by 9 )

m = 1

Answer:

He needs to save $100 a month.

Step-by-step explanation:

Since Travis needs $300 in 3 months, you divide 300 by 3.

300/3 = 100

Therefore, Travis needs to save $100 a month.

Travis needs to save more than $100 each month for three months to afford an airplane ticket that costs more than $300.

To determine how much Travis needs to save each month to pay for his airplane ticket, which costs more than $300, we can set up an equation. Let's assume the minimum amount he needs for the ticket is $300. If Travis is saving for three months, he needs to divide the total cost of the ticket by the number of months he has to save.

Let the amount he needs to save each month be represented by a. Therefore, we have the following equation: 3a = 300, which simplifies to a = 300/3. Solving this, we find that a = $100.

However, since the ticket costs more than $300, he will need to save slightly more than $100 each month.

Answer:

55

Step-by-step explanation:

Given that a circle and inside two chords with same arc length.

We are to find the angle between the two chords.

Given that two arcs subtend angle 125 degrees at the centre.

Let us join the two ends of chords to make the figure as a triangle inside a circle.

The triangle is isosceles as two arcs and hence chords are equal.

By central angle theorem we have the two equal angles as 1/2 (125) = 62.5

Hence we have a triangle with two equal angles 62.5 and another angle 1.

By triangle sum of angles theorem

angle 1+62.5+62.5 = 180

Hence angle A = 180-62.5-62.5 = 55 degrees.

Step-by-step explanation:

Given inequality is [tex]y<\frac{3}{4}x+2[/tex].

To graph that inequality, first we need to graph the line [tex]y=\frac{3}{4}x+2[/tex]. Then shade it for the inequality symbol <.

Graphing line can be done using two points.

plug x=0 into [tex]y=\frac{3}{4}x+2[/tex], we get:

[tex]y=\frac{3}{4}*0+2=2[/tex]

Hence first point is (0,2)

Similarly plug any random number for x say x=4, we get:

[tex]y=\frac{3}{4}*4+2=5[/tex]

Hence first point is (4,5).

Now we just need to graph both points and join them by a dotted line. because we have < not <=.

Next part is to test for shading.

Which can be done using any test point which is not on the given line. Say (0,0)

plug x=0,y=0 into [tex]y<\frac{3}{4}x+2[/tex].

[tex]0<\frac{3}{4}*0+2[/tex]

[tex]0<0+2[/tex]

0<2

which is true, hence shading will be in direction of test point (0,0).

Hence final answer will be the choice which looks like the graph attached below;

The correct answer is 2. A dashed line with the shaded area below the line.

To graph y < 3/4 x + 2, first find the y-intercept, which is the point where the line crosses the y-axis.

This happens when x is 0, so the y-intercept is 2.

The slope of the line is 3/4, so for every 3 units you move up, you must also move 4 units to the right.

Start at the y-intercept and move 3 units up.

Then, move 4 units to the right.

Repeat this process until you have graphed a few points.

The line should continue in this direction forever.

The shaded area below the line represents the values of y that are less than 3/4 x + 2.

Here are the possible answers:

The correct answer is 2. A dashed line with the shaded area below the line.

The dashed line indicates that the inequality is not strict, meaning that the line is allowed to touch the shaded area.

The shaded area below the line indicates that the values of y that are less than 3/4 x + 2 are represented by the points below the line.

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Answer:

280 calories

Step-by-step explanation:

200 / 50 = 4

1 gram = 4 calories

70 * 4 = 280

Therefore, there are 280 calories in 70 grams of cheese.

Answer:

the answer is -20/8 or A

Step-by-step explanation:

Answer:

6.6 stone

Step-by-step explanation:

We will use conversions to change kilograms to stones

1 kilogram= 2.2 pounds,

1 stone= 14 pounds

42 kilogram          2.2 lbs           1 stone

---------------       * -------------   * ---------------

                           1 kg                 14 lbs

All the units cancel except stone

(42*2.2)/14  stone

6.6 stone