A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The students cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches would we $113.50, how many sandwiches were ordered?

Answers

Answer 1

Answer:

10 sandwiches

Step-by-step explanation:

first, write an equation to model the problem.

if x is the number of sandwiches and y is the number of soups, you can write:

7.75x + 4.5y = 113.5

in addition, to figure out the number of lunches, you can write:

x + y = 18

finally, plug both equations into desmos and see which point makes both equations true.

the point is (10, 8)

this means they ordered 10 sandwiches and 8 soups

if this helped, please mark brainliest :)


Related Questions

What is the volume of the prism below?

Answers

Answer:

75 cubic feet

Step-by-step explanation:

The volume of a prism is given by v=bh where b is the base and h is the height. In this case, the base is 25 square feet and the height is 3 ft so 25*3=75 cubic feet.

Answer:

75ft^3

Step-by-step explanation:

Well to find the volume of the following prism we would need the length, width, and height but in this scenario we only have the B and the height.

So we have to do it a different way.

Another way of doing it is B*h which is 3*25 which is 75ft^3.

Jo is buying a shirt for $15 and a pair of pants for $25. She has a coupon for 20% off the pants. What amount will she pay before tax?

Answers

Answer:

$20 for the pants $35 in total

Step-by-step explanation:

Please help ASAP ‼️‼️‼️‼️‼️‼️

Answers

Answer:

             B.  [tex]\bold{g(x)=(\frac12x)^2}[/tex]

Step-by-step explanation:

vertex of g(x) is (0, 0), so:

[tex]g(x)=a(x-0)^2+0\\\\g(x)=ax^2 \qquad and\qquad (2,\,1)\in g(x)\\\\1=a\cdot2^2\\1=4a\\a=\frac14\\\\g(x)=\frac14x^2=(\frac12x)^2[/tex]

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5

Answers

Answer:

[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]

Step-by-step explanation:

Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:

[tex]y-k = C\cdot (x-h)^{2}[/tex]

[tex]y = C \cdot (x-h)^{2} + k[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.

[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).

After reading the statement of the problem, the following conclusion are found:

1) New function must have an absolute minimum: [tex]C > 0[/tex]

2) Transformation to the right: [tex]h > 0[/tex].

3) Transformation downwards: [tex]k < 0[/tex]

Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].

Answer:

Choice D

Step-by-step explanation:

Took the test

Does anyone know the answer to this?

Answers

Answer:

B

Step-by-step explanation:

X is the domain.

The function comes from -∞ and goes to ∞

So B is the answer.

When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to record transactions in your checkbook. d:You are not personally liable for more than $50 if it is stolen.

Answers

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

The whole number which is not a natural number is

Answers

Answer:

All negative numbers

Step-by-step explanation:

They are not whole numbers

Answer:

0

Step-by-step explanation:

Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0

marcus receives an inheritance of $13,000. he decides to invest this money in a 10-year certificate of deposit (CD) that pays 3.0% interest compounded monthly. how much money will marcus receive when he redeems the CD at the end of 10 years?

Answers

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

If Z1 = 12 + 6݅ and Z2 = a + bi (where a, b ∈ R) are two complex number, we can say that the product Z1Z2is imaginary A) If and only if ܽ = ܾ = 0 B) If b = 2a C) If a = −2b D) for each value of a and b

Answers

Answer:

A) if and only if a = 0

Step-by-step explanation:

Since Z1 = 12 + 6݅  and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)

Z1Z2 = (12 + 6)(a + bi)

Expanding the brackets, we have

Z1Z2 = 12a + 12bi + 6a + 6bi

Collecting like terms, we have

Z1Z2 = 12a + 6a + 12bi +6bi

Z1Z2 = 12a + 6a + (12b +6b)i

Simplifying, we have

Z1Z2 = 18a + 18bi

For Z1Z2 to be imaginary, then the real part must be zero.

That is 18a = 0 ⇒ a = 0

So, Z1Z2 is imaginary if and only if a = 0

Carlos' hourly wage increased by 30% this year. If his previous salary was $20 an hour, what is his new hourly wage?

Answers

Answer:

$26.

Step-by-step explanation:

His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:

[tex]20+20(.3)=20(1.3)=26[/tex]

His new salary is $26.

Note: For the second step, I used the distributive property.

[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]

The answer is $26 dollars

Select the correct answer.
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent

Answers

Answer:

c

Step-by-step explanation:

Answer:

Both a relation and a function

Step-by-step explanation:

Replicates itself every 14 minutes, which is exponential function

JOJO help me I can't work good

Answers

Answer:

C. 46 degrees

Step-by-step explanation:

In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.

Answer:

C. 46°

Step-by-step explanation:

When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.


Describe in words the end behavior of f(x)=-5x^4

Answers

Answer:

see below

Step-by-steK and P are real numbers and K is called the coefficient first find the power of the providers function is even or odd the functions power is for which is even then find the constant coefficient is negative or positive functions constant is -5 which is negative

William purchase a new car the total price for he will pay for the car including interest in 17,880 if he splits his car payment over 60 months how much will he pay each month

Answers

Answer:

The Amount amount he pays each month is 298

Step-by-step explanation:

Given:

Total amount of new car (including interest) = 17,880

Payment is splited over 60 months i.e time = 60 months

Required:

How much will be paid each month

To find the amount to be paid each month use the formula:

Monthly payment = Total amount / time

[tex] = \frac{17880}{60} = 298 [/tex]

Therefore, the amount William pays each month is 298

NEED ANSWER ASAP What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?

Answers

Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

PRESS THAT THANKS BUTTON!!!

Evaluate the following expression using the values given: Find 2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.

Answers

Answer:

The evaluated answer to this equation is 19.

Step-by-step explanation:

2r² + 3s³ - r² + 4t² - r²

In the problem, we are given values for the variables in the equation.

r = -2

s = -3

t = 5

Let's plug these numbers into the equation.

2(-2)² + 3(-3)³ - (-2)² + 4(5)² - (-2)²

First, simplify the exponents.

2(4) + 3(-27) - (4) + 4(25) - (4)

Next, multiply the numbers starting from left to right.

8 + (-81) - 4 + 100 - 4

Add 8 and -81 together.

-73 - 4 + 100 - 4

Subtract 4 from -73.

-77 + 100 - 4

Add -77 to 100.

23 - 4

Subtract 4 from 23.

19

So, your final simplified answer to this equation is 19.

what is the greatest common factor of the polynomial below? 8x^2-4x

Answers

Answer:

4x

Step-by-step explanation:

8x^2 = 2*2*2 *x*x

4x = 2*2 *x

The greatest common factor is 2*2*x = 4x

Answer:

A

Step-by-step explanation:

8x² - 4x

Factor out the greatest common factor.

4x(2x) - 4x(1)

4x(2x - 1)

The greatest common factor of the polynomial is 4x.

help quick plz must get this correct I will make u a brainllest

Answers

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Tanesha can make 3 scrapbook albums in 2 hours. How long will it take her for to make 105 albums?

Answers

Answer: 70 hours

Step-by-step explanation:

First do 105/3(35)  Then multiply 35*2(70)

Answer 70
Explanation 3_____2
105_______x
Then2*105=210
3x=210
X=70

Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction? Tinh’s reduction is incorrect; he should have only divided the side lengths by 3. Tinh’s reduction is incorrect; he should have only divided the angle measures by 3. Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead. Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.

Answers

Tinh's reduction is incorrect. He should only divided the side lengths by 3.

Dividing the angle measures by 3 would make it into a completely different triangle.

Dividing only the side lengths will make the triangles slightly alike.

The answer is A.

Stay safe. God bless!

<3

- Elisha

Please answer if in two minutes

Answers

Answer:

y = 7

z = 1

Step-by-step explanation:

If the triangles are congruent

AB = QR

y+ 34 = 41

Subtract 34 from each side

y = 41-34

y = 7

and QP = BC

38 = z+37

Subtract 37 from each side

38-37 = z

1 =z

Answer:

y = 7

z = 1

Step-by-step explanation:

The triangles are congruent, the length of the sides are equal.

y + 34 = 41

y = 41 - 34

y = 7

z + 37 = 38

z = 38 - 37

z = 1

Please answer this if you can! <3 (NO EXPLANATION REQUIRED!)

Answers

Answer: 5 bigger or equal but less than 10 the frequency is 2.
10 bigger or equal but less than 15 the frequency is 6.
15 bigger or equal but less than 20 the frequency is 10.
20 bigger or equal but less than 25 the frequency is 2.
And if u add all of the frequency it’s 20.

Find the solution set. 8x^2-2x-3=0 separate the two values with with a comma.

Answers

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Factor

(2x + 1)(4x - 3) = 0

Step 2: Find roots

2x + 1 = 0

2x = -1

x = -1/2

4x - 3 = 0

4x = 3

x = 3/4

Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8, 16, x, y GCF: 4x Factored expression: 4 x (0 + 4 y) Which best describes the accuracy of Monique's solution? Monique's solution is accurate. Monique made an error when listing the factors, which affected the GCF and the factored expression. Monique made an error when determining the GCF from her list of factors. Monique made an error when writing the factored expression.

Answers

Answer:

Monique made an error when writing the factored expression.

Step-by-step explanation:

The factorisation of the expression 4x+16xy is 4x(1+4y).

The given expression is 4x+16xy.

What is factorisation?

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Now, 4x=2×2×x and 16xy=2×2×2×2×x×y

so, the GCF of terms 4x.

Now, 4x(4x/4x+16xy/4x)=4x(1+4y)

Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).

To learn more about the factorisation visit:

https://brainly.com/question/20293447.

#SPJ2

Which expression is equivalent to -36 - 8−36, 36, minus, 8? Choose 1 answer: Choose 1 answer: (Choice A) A -36+(-8)−36+(−8)minus, 36, plus, left parenthesis, minus, 8, right parenthesis (Choice B) B -8+36−8+36minus, 8, plus, 36 (Choice C) C 8-368−368, minus, 36 (Choice D) D 36+836+8

Answers

Answer:

Choice A: -36 + (-8)

Step-by-step explanation:

We want to find the equivalent expression to -36 - 8

The correct option is Choice A.

Choice A is -36 + (-8)

The reason is that the product of the signs + and - is -, i.e.

+ * - = -

Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8

Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes through the point (4, 4) on the blue line. Explain how you determined your answer.

Answers

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

Can someone help me solve this?

What is side b? Thank you

Answers

Answer:

The answer is

b = 39.32 feet

Step-by-step explanation:

To find side b we use cosine

cos ∅ = adjacent / hypotenuse

From the question

side c is the hypotenuse

side c = 48 feet

side b is the adjacent

∅ = 35°

We have

cos 35 = b/c

cos 35 = b / 48

b = 48 cos 35

b = 39.319

b = 39.32 feet to 2 decimal places

Hope this helps you

Answer:

b ≈ 39.32 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] = [tex]\frac{b}{48}[/tex] ( multiply both sides by 48 )

48 × cos35° = b, thus

b ≈ 39.32 ft ( to 2 dec. places )

(2*6)^3/2 in simplest form

Answers

Answer:

[tex]\sqrt{1728}[/tex]

Step-by-step explanation:

=> [tex](2*6)^{3/2}[/tex]

=> [tex](12)^{3/2}[/tex]

=> [tex]1728 ^{1/2}[/tex]

=> [tex]\sqrt{1728}[/tex]

State if a triangle is acute ,obtuse, or right

Answers

Answer:

It is an acute angle due to the angle formed at the vertex being less than 90 degrees

Answer:

acute triangle

Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest

I need help!!
The given equation has been solved in the table.
Step
Statement
1
47-7
77=
2
7 +7
3
= 0
4
2.5 = 2.0
5
= 0
In which step was the subtraction property of equality applied?
A.
step 2
OB.
step 3
c.
step 4
D.
The subtraction property of equality was not applied to solve this equation,

Answers

I’m thinking that the answer would be a
I believe step A is the correct answer
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