Juanita is shopping for a new shirt, and she has narrowed her decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?

Final answer:

Point P will be closer to B than to A because the ratio of the partition is 4/7 which is closer to B than the ratio of 3/7 to A.

Explanation:

To determine whether point P will be closer to A or B, we need to consider the ratio of the partition. In this case, the ratio is 3:4. This means that the segment from A to P is 3/7 of the total segment, and the segment from P to B is 4/7 of the total segment.

Since the ratio of the partition is closer to B (4/7) than to A (3/7), point P will be closer to B than to A.

For example, if the distance from A to B is 7 units, the distance from A to P will be 3 units (3/7 * 7) and the distance from P to B will be 4 units (4/7 * 7).

If point P partitions the directed line segment from A to B into the ratio 3:4, then P will be closer to A. The ratio 3:4 means that the segment AP is 3 parts long while segment PB is 4 parts long, making PB longer than AP. The entire segment AB is therefore divided into 7 equal parts, with point P falling 3/7 of the distance from A and 4/7 from B. Since 3/7 is less than 4/7, P is closer to A.

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

                  -8    (-2c+ 16)      (4c-34)

       ---------------------------------------------

         4    (c - 8)   (-2c + 17)     4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

Answer:

Altavistard is right, the answer is 8

Step-by-step explanation:

go look at altavistard...

Answer:

Option B) [tex]28\pi\text{ m}^3[/tex]

Step-by-step explanation:

We are given the following in the question:

Radius of cylinder, r  = 2 m

Height of cylinder, h = 7 m

We have to find the volume of the cylinder.

Volume of cylinder =

[tex]V = \pi r^2 h[/tex]

where r is the radius and h is the height of the cylinder.

Putting values, we get,

[tex]V = \pi (2)^2(7)\\V = 28\pi\text{ cubic meter}[/tex]

Thus, the volume of cylinder is

Option B) [tex]28\pi\text{ m}^3[/tex]

Hi, love!!

The correct answer is listed below:

A) 14π m3

B) 28π m3

C) 56π m3

D) 112π m3

Answer:

The change in the cone produces a greater increase in volume.

Step-by-step explanation:

Let's start with the cone.

[tex]V = \frac{1}{3} \pi r^{2} h[/tex]

[tex]V = \frac{1}{3} \pi 3r^{2} \frac{h}{2}[/tex]         (In your case, you would type V = 1/3pi3r^2h/2)

The changes that occurred are [tex]3^{2}[/tex] and [tex]1/2[/tex]. When we add these together we get [tex]9/2[/tex].

Now the cylinder.

[tex]V = \pi r^{2} h[/tex]

[tex]V = \pi r^{2} 2h[/tex]         (In your case, you would type V = pir^2 2h)

The change that occurred is [tex]2[/tex].

[tex]9/2[/tex] is greater than [tex]2[/tex] which means that the change in the cone produces a greater increase in volume.

Answer:

Step-by-step explanation:

For the cone  V k1= (Pi/3) .R squared .H

V k2= (pi/3) .  (3R)squared .  (H/2)=(9/2) .(PI/3) .  R squared.H

=(3pi/2) R.squared.H

3pi/2

nk= 2/ pi/3

N k= 9/2

For the cylinder

V c1=Pi .R squared.H

V c2= Pi.R squared.(2H)

N c=V c2/V c1=2

Cone has greatest change in volume

Hope this helps!!!!!!!!

Answer:

B/2: 9 inches

Answer:

They are the same line written in different forms.

Step-by-step explanation:

Given a linear function with a slope of [tex]-\frac{7}{9}[/tex] and a y-intercept of 3.

The equation of the line in the slope-intercept form is given as:

[tex]y=-\frac{7}{9}x+3[/tex]

Given the other line,

[tex]y+11=-\frac{7}{9}(x-18)[/tex]

Simplified:

[tex]y+11=-\frac{7}{9}x+14\\y=-\frac{7}{9}x+14-11\\y=-\frac{7}{9}x+3[/tex]

The two lines are one and the same line.

Answer:

They are the same line written in different forms.

Answer: 75

Step-by-step explanation:

We have angle BUG angle GUY = angle BUY = 180. If we let angle GUY = x, then

(x+30) + x = 180 Solving this equation gives x=75.

Using the definition of linear pair angles, the measure of angle GUY is: 75°.

A linear pair are two angles on a straight line whose sum equals 180 degrees.

Thus:

m∠BUG = m∠GUY + 30°

Therefore:

m∠BUG + m∠GUY = 180°

Substitute

m∠GUY + 30 + m∠GUY = 180 (linear pair)

2(m∠GUY) + 30 = 180

2(m∠GUY) = 180 - 30

2(m∠GUY) = 150

m∠GUY = 150/2

m∠GUY = 75°

Therefore, using the definition of linear pair angles, the measure of angle GUY is: 75°.

Learn more about linear angle pair on:

https://brainly.com/question/13218054

Answer:

Rounded to the nearest thousandth: ≈45.479

Step-by-step explanation:

The formula for finding area using circumference is

[tex]\frac{c^2}{4\pi }[/tex]

c=23.9"

[tex]\frac{23.9^2}{4\pi }[/tex]

Since we're using 3.14 for pi, multiply 4 by 3.14, and continue from there.

[tex]\frac{23.9^2}{4(3.14)} = \frac{571.21}{12.56} = 45.47850318[/tex]

but we don't use that big number! We round to the nearest thousandth!

≈45.479

Answer:

46 inches^{2}

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]

To work this out you would first need to divide 23.9 by pi to find out diameter.

Then you would divide the diameter by 2 to find the radius. Then you would multiply pi by the radius squared.

1) Divide 23.9 by [tex]\pi[/tex].

[tex]23.9/\pi=7.608[/tex]

2) Divide 7.608 by 2.

[tex]7.608/2=3.804[/tex]

3) Multiply pi by the radius squared.

[tex]\pi *3.804^{2} =45.4601526[/tex]

4) Round To nearest whole number.

[tex]46 inches^{2}[/tex]

Answer:

The answer is A. 9x +4x^2 -5y

Step-by-step explanation:

In order to find the difference, subtract each terms.

in order for 5x to get to 14x you have to +9x

in order for -7x^2 to get to -3x^2 you have to +4x^2

and last, in order for 7y to get to 2y, you have to -5y

Hope it helps!

Answer:

The answer is A.

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

50% of 50 is 25  

50/2 = 25

Answer:25

Step-by-step explanation:

The total number of children is 50

So 50%of50children is

50/100×50=2500/100

=25

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

Hope this Helps!!!

Answer:

the gcf is 4

Step-by-step explanation:

Final answer:

To find the greatest common factor of 4x³ and 8x², we look at the numerical coefficients and the variables separately. The GCF of the coefficients 4 and 8 is 4, and since x² is the lowest power of x common in both terms, the GCF is 4x².

Explanation:

The greatest common factor (GCF) of two expressions, like 4x³ and 8x², involves finding the highest degree of common terms they share. First, let's compare the numerical coefficients; 4 and 8. The GCF of 4 and 8 is 4. Next, we'll look at the variable part. The lowest exponent of x that appears in both terms is 2. Therefore, the GCF is the product of the GCF of the coefficients and the lowest power of x, which is 4x².

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

   =420-2

   = 418

How many $1.50 raffle tickets were sold?

418    $1.50 tickets were sold

Answer:

11y = 1155

$5 raffle tickets: 105

x = 4(105) - 2

$1.5 raffle tickets: 418

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

1.5(4y - 2) + 5y = 1152

6y - 3 + 5y = 1152

11y = 1155

y = 105

x = 4(105) - 2

x = 418

Answer:

commutative

Step-by-step explanation:

-The ability to change the order to terms in a addition or multiplication problem.

Answer:

The slope is one. I cant graph it for you though. Try plotting the points then drawing a straight line down those points.

Step-by-step explanation:

Answer:you go up one over three

Step-by-step explanation:

Answer:

1. A

2. B

3. C

you have to judge the fraction based on the other dilations and the answer choices

Answer:

Q3-Q1

Step-by-step explanation:

you are subtracting the highest and lowest values of a specific part of a set of numbers to get the range of a part of data

Answer:

4 = 15

Step-by-step explanation:

Make them equal to each other first

2x+15=x+30

Put like terms together

x=15

Hope this helped

:)

Answer:

you can make 3 different triangles by using the protector and setting the given angles.

Steps:-

1. Make a dot on the page.

2.Point the protector's intersecting point at the dot.

3.Now mark the given angle measurements as well as 0°.

Now connect the angle measurement with the dot and then dot with 0°

Answer:

The answer is B,C, and D

Step-by-step explanation:

I GOT. THE. QUESTION. RIGHT. ON. EDUNUTITY

Answer:

4(xy + w + z)

Step-by-step explanation:

The expression to be factored is:

          4xy + 12w + 12z

Factoring an equation involves taking out common terms from the expression that will then make it more simpler and simplified.

To solve this problem, we need to find the factors of the given terms:

            4xy

            12w

            12z

The numbers given as coefficients of the variables are;

                       4            12               12

A factor is any integer that divides a number evenly;

             Factors of 4 are 1, 2 and 4

                              12 are 1, 2,3,4,6 and 12

The common factors between 4 and 12 are those numbers that can divide both digits:

      These are  1, 2, and 4, they are common to both

Now, the greatest common factor is the highest of this factors which is 4

 Therefore, the greatest common factor of 12 and 4 is 4

Also, xy, w and z has no common factors

Factoring

                 4xy + 12w + 12z  = 4(xy + w + z)

Answer:

The answer is 27.5

Answer:

25.50

Step-by-step explanation:

5(4.75+1.50)-3 x 1.25

23.75+5.50-3x 1.25

29.25-3x1.25

29.25-3.75

25.50

Answer:

Step-by-step explanation:

A sheet has 2 pages

6 pages are torn. So 6 ÷ 2 = 3 sheets

Answer:

3 pages

Step-by-step explanation:

7 and 8 are one page

100 and 101 are one page

222 and 223 are one page

He tore out 3 pages

Answer:

45 because you have to subtract 100-55 which would equal 45

Answer:

Yeah it would be 45

Step-by-step explanation:

Because:

100 - 55 = 45

Answer:

D. A number divided by three minus fifteen.