1. A guitar is on sale with a 55% discount.
If it regularly sells for $270, what is the
amount of discount?

The given fractions are plotted on number line as given below.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].

To plot fractions on the number line, follow the steps given below:

Step 1: Draw a number line of a suitable length.

Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.

Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.

Step 4: Starting from the left point, count forward the number of parts shown by the numerator.

Step 5: Mark the point on the line.

Hence, the given fractions are plotted on number line as given below.

Learn more about the number line here:

https://brainly.com/question/13425491.

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Answer:

8

Step-by-step explanation:

6:3=2

six divided by three equals four (hence the ratio)

2*4=8

two times four equals eight.

Answer:

The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.

The function represented by the table is

y = 0.25x

Then, as Mandie is making 15 glasses of fruit salad, we have:

y + x = 15

We have two equations and two unknowns that we must solve.

y = 0.25x

y + x = 15

Resolving

For x:

0.25x + x = 15

1.25x = 15

x = 15 / 1.25 = 12

For y:

y = 0.25x = 0.25 (12) = 3

Answer

The ratio of grapes to blueberries she should use is 12: 3

Answer:

P

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

Answer:

B) between 8 and 24 hours per week

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 16, standard deviation of 4.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.

Within 2 standard deviations of the mean, so:

16 - 4*2 = 16 - 8 = 8 hours per week.

16 + 4*2 = 16 + 8 = 24 hours per week.

This means that the correcgt answer is given by option B.

Answer:

3/4

Step-by-step explanation:

slope = rise / run

slope = ∆y/∆x

slope = (y2 - y1) / (x2 - x1)

slope = (6 - 0) / ( 0 - -8)

slope = 6/8

slope = 3/4

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

Answer:

35%

Step-by-step explanation:

[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]

Answer:

y=2x+6

Step-by-step explanation: y=mx+b

substitute in known values y=2x+b gradient is 2 (given)

substitute in coordinate values (1,8) 8=2(1)+b

solve for B    8=2+b

                     -2   -2

                      6=b

therefore the answer is y=2x+6

Answer:

A.

Step-by-step explanation:

It's the closest one to the answer, The answer I got is - 4;2

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x + y = 3

x  -   y  = 3

Adding the 2 equations eliminates y:

3x = 6

x = 2.

Substitute for x in the first equation:

2(2) + y = 3

y = 3 - 4

y = -1.

Check the results by substitution in equation 2:

2 - (-1)

= 2 + 1 = 3 .

Checks OK.

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

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

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

Answer:54.9

Step-by-step explanation:

Answer:181.5

Step-by-step explanation:

5.5*5.5*6

multiply by six because there are six side

Step-by-step explanation:

sin theta =p/h

sin 42=x/13

0.66×13=x

x=8.69

Answer:

The probability that the center will have enough employees to handle this call volume is 0.2764

Step-by-step explanation:

Probability is defined as the ratio of favorable outcomes to the total number of outcomes.

Here the total mean expected number of outcomes=u = 4000

The favorable  expected outcomes are = x= 22* 178= 3916

The  standard deviation= σ= 5

The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5

So z= x-u/σ

Z= (3916-4000)/22/5

z= -0.764

From the table of areas under normal curve

P (  x= 3916)=  P( -0.764 ≤ Z≤ 0)

P (  x= 3916)=  0.2764

The probability that the center will have enough employees to handle this call volume is 0.2764

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

Answer: C equilateral triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test :)

Answer:

100x + 13000y = 865000

Step-by-step explanation:

x = Series A price

y = Series B price

Answer:

3 cups of sparkling water

Step-by-step explanation:

So the ratio is 2:4=?:6

Setting them equal to each other, you'll divide 6 by 4

You get 1.5, then multiply 2 by 1.5 to get 3

Answer:

$2.84 for one batch

Step-by-step explanation:

$0.71 x 4 = $2.84

Answer:

$2.84 for one batch

Step-by-step explanation:

I know this how you ask? $0.71 x 4 = $2.84

Answer:

118

Step-by-step explanation:

All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62

180 - 62 = 118

Answer:

It would be 3 1/2!

Step-by-step explanation:

Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!

Answer:

( 3, 3.5) or 3 1/2

Step-by-step explanation:

The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).

Answer:

33.33 percent

Step-by-step explanation:

$88

Step-by-step explanation:

55 increase 60%=

55x(1+60%)=55x(1+0.6)=88