A restaurant raises its price for the salad bar 20%. If the original price was $7. What is the markup? What is the new price?

The factors of the model x^2-9x+14 is (x-2) and (x-7)

The model is x^2-9x+14

Factoring the expression, we get

x^2-7x-2x+14=0

x(x-7)-2(x-7)=0

(x-2)(x-7)=0

The factors of the given model is (x-2)(x-7)

To check if it is a factor or not substitute x=2

2^2-9(2)+14=4-18+14=4-4=0

So x-2 is a factor of the model

7^2-9(7)+14=49-63+14=49-49=0

So x-7 is also a factor of the given model

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Answer:

No, -1 has two outputs

Step-by-step explanation:

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The option that negates the given statement is; F: Two segments do not have the same measurement.

In Mathematics, the negation of a statement simply means the opposite of the given mathematical statement. Thus, “X” is a statement, then the negation of statement X is represented by ~X.

Now, we are given the statement;

"Two segments are the same measurement."

Now, for two segments to be the same measurement it means that they are equal and congruent and could possibly measure the same degree, However, it can never mean that they do not have the same measurement.

Thus, the option that negates the given statement is; F: Two segments do not have the same measurement.

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Answer:

b, a, c, b

Step-by-step explanation:

Answer:

we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Step-by-step explanation:

We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."

Given

p: 2x -5=5

q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

Thus, we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

The mean repair cost for the stereos is (63.04, 102.86) with an 80% confidence interval.

The critical factor for a 90% confidence interval for the true mean repair cost for stereos is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

We have been given that a student records the repair cost for 17 randomly selected washers. a sample mean of $⁢82.95 and a standard deviation of $14.89 are subsequently computed.

Since we don't know the population standard deviation, we used t statistics to create the 80% confidence interval in this case.

So, the 80% confidence interval for the true mean repair cost, μ is ;

⇒ P(-1.337< t₅ < 1.337) = 0.80  

{As the critical value of t at 5 degrees of  freedom are -1.337& 1.337 with P = 5%}

⇒ P(-1.337< (x-μ)/(s/√n) < 1.337) = 0.80

⇒ P(-1.337×(s/√n) < (x-μ) < 1.337×(s/√n)) = 0.80

⇒ P(x - 1.337×(s/√n) < μ < x + 1.337×(s/√n)) = 0.80

80% confidence interval for

⇒ μ = (x - 1.337×(s/√n) , x + 1.337×(s/√n))

Here, x = $82.95 , s  = $14.89 , and n = 17

⇒ μ = (82.95 - 1.337×(14.89 /√17) , 82.95 + 1.337×(14.89 /√17))

⇒ μ = (63.04, 102.86)

Hence, the mean repair cost for the stereos is (63.04, 102.86) with a 80% confidence interval.

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Answer:

x = 10

y = 5

Step-by-step explanation:

Let the two numbers be x and y

Difference between the two is 10

x-y = 10

Sum;

x+ y is four times the smallest number

Let the smaller number be y

x+ y = 4y

Subtracting equation ii from i

-2y = 10 -4y

4y-2y = 10

2y = 10

y = 10/2

y = 5

Recall;

x-y = 10

x = 10 + y

x = 10 + 5 = 15

Answer:

I think it's x=9 y=1

Step-by-step explanation:

3y+5=2y 20x-70=12x+2

+3y +3y -12x -12x

5=5y 8x-70=2

/5 /5 +70 +70

1=y 8x=72

/8 /8

x=9

Answer:

yh thats the answer hopee this work

Answer:

Midpoint (4|7)

Step-by-step explanation:

A(2,6) and B(6,8)

at first add the x values and divide it by two

(2+6)/2=4

second, add the y values and divide it by two

(6+8)/2=7

Midpoint (4|7)

-> and you can see it it is exactly in the middle of line segment

Answer:

2 to the 3 power

Answer: x = 5.625

Step-by-step explanation:  The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.

Use proportion. The total length of side FV is 16.

6:16 = x:15 . or 6/16=x/15

cross multiply 15 × 6 = 90, then divide 90/16

90/16 = x

5.625 = x

They are all true None are false

Answer: b=112 degrees and c=68

Step-by-step explanation:

Answer:

b = 112, c = 68

Step-by-step explanation:

The angle of a line is 180 degrees.

If an angle is 112, 180-112=68 so that blank space will be 68 degrees.

180-68=112, so b=112.

Since b is 112, we now that c is 68.

Answer:

2.8

Step-by-step explanation:

I took the test.

Answer:

5+√3(Decimal: 6.732051)

Step-by-step explanation:

√3+5

=5+√3(Decimal: 6.732051)

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

the formula for finding the y value

Answer:

30 Treinta

Step-by-step explanation:

7x = 210

x = 210/7

x = 30

Answer:

Step-by-step explanation:

63

1/7x-5=4

1/7x=9

X=63

The pole measures 500 centimeters.

We are required to perform unit conversion to find the answer. Conversion of unit requires the relating link between two units. While relating the two units, usually greater unit holds singular or unit value, which is 1. The smaller unit holds value greater than 1, but at equivalent level with first unit. So, as per the known fact, 1 meter is equal to 100 centimeters. Using this formula to find measurement of 5 meters in centimeters.

1 meter = 100 centimeters

5 meters = 100 × 5

Performing multiplication to find the measurement of pole in centimeters

5 meters = 500 centimeters

Therefore, the measurement of pole is 500 centimeters.  

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Answer:

18 and 27

Step-by-step explanation:

x+(x+9)=45

2x+9=45

2=36

x=18

x+9=27

Property which represents the given method (8x9)x3= (3x9) x8 is associative property over multiplication.

As given in the question :

Given method :

(8x9)x3= (3x9) x8

On left hand side (8x9)x3

First we multiply 8×9 =72 and then multiply it to 3

72 ×3=216

On right hand side (3× 9)×8

First we multiply (3×9) =27 then multiply it to 8

27×8=216

Left hand side = right hand side

It represents associative property over multiplication.

Therefore, property which represents the given method (8x9)x3= (3x9) x8 is associative property over multiplication.

The complete question is :

Which property is (8x9)x3= (3x9) x8

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Answer:

Equation: (14.50-10)/0.15

Stanley has do 30 extra messages.

[tex] \frac{(14.5 - 10)}{0.15} [/tex]

Answer:

The sum of -3/7 and its opposite is 0

Step-by-step explanation:

The problem says to find the sum of -3/7 and its opposite.

The opposite of -3/7 is +3/7

Sum means we need to add -3/7 and +3/7.

[tex]\dfrac{-3}{7}+\dfrac{3}{7}=0[/tex]

As the two fractions have opposite signs, it means when we add them we get the answer as 0.

Answer:

The answer is C 5 cm.

Step-by-step explanation: