A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50  

11x + 14y = 84.50

The variable x represents the .

The variable y represents the .

The deli charges $ .

Answer:

8

_

12 I think

that's it it you can cross multiple it will be 7/10

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

Answer:

$62.50

Step-by-step explanation: 250 divided by 4 equals $62.10

Answer:

Step-by-step explanation:

Answer:

h = 9.99in

Step-by-step explanation:

...

Answer:

Terminating goes to 3

Repeating goes to 4

Rational goes to 1

Irrational goes to  2

Answer:

1. Rational Number

2. Irrational Number

3. Terminating Decimal

4. Repeating Decimal

Step-by-step explanation:

A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).  

I would like to apologize in advance if any of these were incorrect.

Answer:

7m

Step-by-step explanation:

In an equilateral triangle all the sides and angles are the same

Answer:

The probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Step-by-step explanation:

Let X denote of age of JSOM students.

The information provided is:

[tex]\mu=24\\\sigma=9\\n=36[/tex]

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.

Compute the probability that the sample mean will be between 25.5 and 27 years as follows:

[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]

Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Answer:

B: A

He earns $90 in 3 weeks.

C

He shelves 90 books in 3 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

36:81

Step-by-step explanation:

4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

(x+9)-3

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

We have the expression:

[tex]-6a+2(2a+2)[/tex]

First, let’s distribute the 2 on the right:

[tex]=-6a+2(2a)+2(2)[/tex]

Multiply:

[tex]=-6a+4a+4[/tex]

Now, combine like terms:

[tex]=-2a+4[/tex]

Hence, our answer is A.

Answer:

a

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

I am doing Prepworks Basic triangles as well :D

9514 1404 393

Explanation:

The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.

1/4 = 1/(2·2) will terminate

1/15 = 1/(3·5) will not terminate

Step-by-step explanation:

Total no. of students = 40

Total no. of girls = 22

Total no. of boys = 40 - 22 = 18

No. of girls walking to school = 9

No. of girls who cycle to school = 22 - 9

No. of boys who cycle to school = 7

No. of students who take the bus = 10

(6 boys and 4 girls)

No. of boys who walk to school = 18 - (7 + 6) = 5

Total no. of students who walk to school = 9 + 5 = 14

The number of students who walked to school was 14 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The equations will be ,

Let the total number of students in the class be A = 40 students

The number of girls in the class = 22 students

The number of boys in class = total number of students - number of girls

                                                = 40 - 22

                                                = 18 students

Now ,

The number of girls who walked to school = 9 students

The number of boys who cycled to school = 7

So , remaining boys = 18 - 7

                                 = 11 students

The number of boys who take bus to school = 6 students

So , remaining boys = 11 - 6

                                 = 5 students

Therefore , the remaining boys in the class walks to school = 5 students

So , the equation will be

And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school

Total number of students who walked to school = 9 + 5

                                                                                = 14 students

Hence , The number of students who walked to school was 14 students

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

y-mx+b

Step-by-step explanation:

Answer:

95% Confidence Interval = (0.037, 0.104)

Step-by-step explanation:

The formula for Confidence Interval if a proportion is:

p ± z × √p(1 - p)/n

z = z score of a 95% confidence interval = 1.96

p = proportion = x/n

x = 16, n = 227

p = 16/227

p = 0.0704845815

≈ 0.0705

Confidence Interval

= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227

= 0.0705 ± 1.96 × √0.0002886773

= 0.0705 ± 0.0333013921

Confidence Interval

= 0.0705 - 0.0333013921

= 0.0371986079

≈ 0.037

= 0.0705 + 0.0333013921

= 0.1038013921

≈ 0.104

Hence, 95% Confidence Interval = (0.037, 0.104)

Answer:

F(-3) = -7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

F(x) = 4x + 5

F(-3) is x = -3

Step 2: Evaluate

Answer:

The distance between T and S is 10 units.

Step-by-step explanation:

Given the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between T and S is:

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]=10[/tex]              ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

Therefore, the distance between T and S is 10 units.

Answer:

The answer is yes, since the graph is an equal line throughout.

Step-by-step explanation:

1250/10=125

Hope this helps and have and AWESOME night!!! :)

Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

Answer:

Step-by-step explanation:

The given equation is:

f(x) = 3 - 48x + 4x²      [5,7]

where; f(x) is continous and derivable in [5,7]

f'(x) = -48x + 8x

f(5) = 3 - 48(5) + 4(5)² = -137

f(7) = 3 - 48(7) + 4(7)² = -137

Thus, it satisfies the hypotheses of Rolle's Theorem

f'(x) = f'(c) = 0

-48 + 8c = 0

c =48/8

c = 6

Answer:

The distance 'd' between T and S:

Step-by-step explanation:

As the point 'T' is located at (2, -4)

And the point 'S' is located at (2, 6)

The distance 'd' between T and S can be computed using the formula:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]d=10[/tex]

Therefore, the distance 'd' between T and S:

Answer:

t and s

Step-by-step explanation: