Lin's uncle is opening a bakery. On the bakery's grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake. 1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning. 2. Jada is the 36th customer. a. Will she get a prize? If so, what prize will she get? b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning. 3. How many prizes total will Lin's uncle give away? Explain your reasoning.

I got 60 as my answer

you ALWAYS do your parentheses first

then you do 8+5 and that equals 13•6-9

13 times 6 is 78. then you subtract 9 which will leave you with 60. hope that helped ☺️

Answer: Adding a negative is the same as subtracting, so we will subtract 19 from 66.

66 - 19 = 47

The answer to -19 + 66 is equal to 47.

Answer:

No.

Step-by-step explanation:

There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.

3x + 7 = 13 subtract 7 from both sides

3x = 6 divide by 3 on both sides

x = 2

3(3) + 7 = 13

9 + 7 = 13

16 ≠ 13

Therefore, x = 3 is not a solution for 3x + 7 = 13.

Answer: x = 2, x = 3 ( whichever is m and whichever is n )

Step-by-step explanation: h

x^2 + 6x - 5 = 0

( x - 2 ) ( x - 3 ) you take the x^2 and you split it into separate groups

the negatives will give you a positive 6, but also a negative 5. you want to use multiples of 6 to add up to -5. so you do ( x - 2 ) and ( x - 3 ) and it doesn't matter what order you do the numbers!! both are negative trying to add up to a negative.

then you want to get x.

x - 2 = 0

add two to the 0 and x = 2

then the other x

x - 3 = 0

add the three to the 0 and x = 3

Answer:

x=-3+[tex]\sqrt{x} 14[/tex]

Step-by-step explanation:

I got it right on plato

Answer:

1/7

Step-by-step explanation:

In order to determine the slope, we must find the change in y over the change in x:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}[/tex] = 2/14= 1/7.

Therefore, the slope between these two points is 1/7.

Answer:

1/7

Step-by-step explanation:

To find the slope when given two points, use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:

[tex]m=\frac{(8)-(6)}{(10)-(-4)} =2/14=1/7[/tex]

Therefore, the slope of the line passing through the two points is 1/7.

Answer:

yes

Step-by-step explanation:

|-12| = |12| they always equal to 12

Answer:

true

Step-by-step explanation:

when you put the 2 lines on the left and right side of a (negative) number, it instantly becomes a positive

Answer:

36

Step-by-step explanation:

[tex](x {}^{2} - 6)(x {}^{2} - 6)[/tex]

then we get,

[tex]x {}^{2} - 12x + 36[/tex]

Answer:

2√3

Step-by-step explanation:

5√3 - √27

= 5√3 - √9√3

= 5√3 - 3√3

=2√3

Answer:

Step-by-step explanation:

I am not sure if this is correct but I hope it helps

Answer:

a = -10

Step-by-step explanation:

6a+40=2a

Subtract 6a from each side

6a-6a+40=2a-6a

40 = -4a

Divide each side by -4

40/-4 = -4a/-4

-10 = a

Answer:

Step-by-step explanation:

-1 appears once

0 appears once

3 appears twice

4 appears once

1 appears once

Answer: -1

Step-by-step explanation: -1

occurs the most.

Answer:

The fraction is [tex]\frac{7}{9}[/tex].

Step-by-step explanation:

The division problem provided is:

7 ÷ 9

The fraction representing the division problem is:

[tex]7\div 9=\frac{7}{9}[/tex]

As the denominator is greater than the numerator the fraction cannot be converted into a mixed fraction.

Thus, the fraction is [tex]\frac{7}{9}[/tex].

Answer:

7/9

Step-by-step explanation:

The division problem is as follows:

7 ÷ 9

The fraction that represents the difficulty of division is:

7 ÷ 9=7/9

The fraction cannot be converted to a mixed fraction since the denominator is bigger than the numerator.

As a result, the fraction is 7/9.

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I took the test.

Answer:

myrna farm has 265 and the commercial farm 500

Step-by-step explanation:

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The farm that has the most fruit trees are commercial farm.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Foster's Farms has 53 fruit trees on their land. Myrna's Farms has five times as many fruit trees as Foster's. Therefore, the number of trees on Myrna's farm is,

Number of trees on Myran's farm = 5 × Number of trees on Foster's farm

                                                       = 5 × 53

                                                       = 265 trees

Since the number of trees on Myran's farm and Foster's farm is 265 trees and 53 trees, respectively, while the number of trees on the commercial farm has 500 fruit trees.

Hence, The farm that has the most fruit trees are commercial farm.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

55

Step-by-step explanation:

JL = JK + KL

84 = 3x+5  + 6x+7

Combine like terms

84 = 9x +12

Subtract 12 from each side

84-12 = 9x+12-12

72 = 9x

Divide by 9

72/9 = 9x/9

8 =x

We want KL

KL = 6x+7

   6*8 +7

    48+7

     55

Answer:

Hey there!

n+m-a=d

m+n=d+a

m=-n+d+a

m=a+d-n

Hope this helps :)

Answer:  price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks

Step-by-step explanation:

you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.

 if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50  your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.

Answer:

250 cm³

Step-by-step explanation:

The volume of a box will always be the value of multiplying its 3 dimensions. Since the dimensions of this box are 5, 5, and 10, the volume is:

[tex]5\cdot5\cdot10=250[/tex] cm³.

Hope this helped!

Answer:

250 cm^3

Step-by-step explanation:5x5x10

Answer:

You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)

You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)

Step-by-step explanation:

Answer:

Area of the field = 384

Step-by-step explanation:

Given:

diagonal  = d = 32 m

perpendiculars dropped on it from the remaining opposite vertices:

h1 = 10 m

h2 = 14 m

Sum of perpendiculars:

h1 + h2 = 10  + 14

           = 24

Area of the field = 1/2 x d x (h1 + h2)

                           = 0.5(32)(24)

Area of the field = 384 m²

Answer:

So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3

Step-by-step explanation:

In this question we have to find the ratio of before and after so It will be written like this

Before : After

11: 33

Dividing both sides with 11

11/11:33/11

1: 3

So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3

Which means that if we have total of 4 shirts then the number of shirts before the purchase were 1 and after the purchase were 4 meaning there are 3  new shirts in place for every single old shirt.

Answer:

Bionic Woman wins by 4 seconds.

Step-by-step explanation:

Given:

Speed of Batman = 3 km/min

Speed of Bionic woman = 5 km/min

Total distance = 2 km

Start given to Batman = 12 seconds

To find:

Winner of the race and by how many seconds?

Solution:

Start given to Batman = 12 second start

Let us find the Distance traveled by Batman in 12 second.

12 seconds = [tex]\frac{1}{5}[/tex] minutes

[tex]Distance = Speed \times Time[/tex]

[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]

Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km

Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds

Distance for Bionic woman to be traveled = 2 km with 5 km/min

Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds

Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.

She will win by 28-24 = 4 seconds

So, answer is:

Bionic Woman wins by 4 seconds.

Answer:

h = -9

Step-by-step explanation:

Distribute the 2 to the parentheses:

5h + 2(11 - h) = -5

5h + 22 - 2h = -5

Add like terms:

3h + 22 = -5

3h = -27

h = -9

Answer:

h = -4.5

Step-by-step explanation:

5h + 2(11-h) = -5

5h + 2(11-h)

+h          +h

6h + 2 x 11 = -5

6h + 22 = -5

    - 22     -22

6h = -27

/6     /6

h = -4.5

I hope this helps, I know the explanation is kinda confusing but I tried my best to explain :))

Answer:

y = -1/2x + 5/2 or y = -0.5x + 2.5

Step-by-step explanation:

perpendicular lines have reciprocated slopes (opposite signs and values)

y = 2x + 1 → y = (-1/2x) + b

plug in (3,1) to find b

1 = -1/2(3) + b

1 = -1.5 + b

2.5 = b

y = -1/2x + 5/2 or y = -0.5x + 2.5

Answer:

y = -1/2 x +5/2

Step-by-step explanation:

y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope

We want a line perpendicular

Perpendicular lines have slopes that multiply to -1

m * 2 = -1

Divide by 2

m = -1/2

The slope of the perpendicular line is -1/2

y = mx+b

y = -1/2x +b

Using the point (3,1)

1 = -1/2 *3 +b

1 = -3/2 +b

Add 3/2 to each side

2/2 +3/2 = b

5/2 = b

y = -1/2 x +5/2

Answer: $70.50

Step-by-step explanation:

30npm x 125m = 3750 nails total

3750/40 = 93.75, meaning you will need 94 boxes to complete the fence

94x0.75= $70.50

The cost in dollars for the nails to build a fence 125 meters long will be $70.31.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A fence is 125 meters long if it requires 30 nails per meter. Then the total number of the nail will be

⇒ 125 x 30

⇒ 3750 nails

Assume that 40 nails are sold per box. Then the total number of boxes of nail will be

⇒ 3750 / 40

⇒ 93.75 boxes

The cost of $0.75 per box. Then the total cost of nails will be

⇒ 93.75 x $0.75

⇒ $70.31

Then the cost in dollars for the nails to build a fence 125 meters long will be $70.31.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

15

Step-by-step explanation:

3x+4x+8=5x+10

7x+8=5x+10

7x-5x=10-8

2x=2

x=1

AC=5x+10=5(1)+10=15

Answer:

answer of question 28 is 8/13(D)

Answer:

The probability that more than half of these babies are female is closest to 0.53.

Step-by-step explanation:

We are given that at a certain hospital, the probability of a child being born female is 0.5. 80 babies are born on a certain day.

Let X = Number of babies that are female

The above situation can be represented through binomial distribution which means X ~ Binom(n = 80, p = 0.51)

Here, n = number of samples taken and p = probability of success

For finding the probability we will use the normal approximation because the sample size is greater than 30 (n > 30), i.e;

Mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex]

                    = 80 [tex]\times[/tex] 0.51 = 40.8

Standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p\times (1-p)}[/tex]

                                         = [tex]\sqrt{80 \times 0.51 \times (1-0.51)}[/tex]  = 4.5

So, X ~ Normal([tex]\mu=40.8, \sigma^{2} = 4.5^{2}[/tex])

Now, the probability that more than half of these babies are female is given by = P(X > 40) = P(X > 40.5)  {using continuity correction}

      P(X > 40.5) = P( [tex]\frac{X-\mu}{{\sigma}} }[/tex] > [tex]\frac{40.5-40.8}{{4.5} } }[/tex] ) = P(Z > -0.07) = P(Z < 0.07)

                                                          = 0.5279 ≈ 0.53

The above probability is calculated by looking at the value of x = 0.07 in the z table which has an area of 0.5279.

Hence, the probability that more than half of these babies are female is closest to 0.53.