Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75, and each meal combo that came with water cost $5.00. The total bill for the meal combos before tax was $62.25. This indicates that Choose... members ordered water with their m

Answers

Answer 1

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

[tex]m \to[/tex] With water

[tex]n \to[/tex] With Soda

So:

[tex]m + n =10[/tex] --- total

[tex]5m + 6.75n = 62.25[/tex] -- cost

Required

Find m and n

[tex]m + n =10[/tex]

Make m the subject

[tex]m = 10 - n[/tex]

Substitute [tex]m = 10 - n[/tex] in [tex]5m + 6.75n = 62.25[/tex]

[tex]5(10-n) +6.75n = 62.25[/tex]

[tex]50-5n +6.75n = 62.25[/tex]

Collect like terms

[tex]-5n +6.75n = 62.25 - 50[/tex]

[tex]-5n +6.75n = 12.25[/tex]

[tex]1.75n = 12.25[/tex]

Solve for n

[tex]n = 12.25/1.75[/tex]

[tex]n = 7[/tex]

[tex]m = 10 - n[/tex]

[tex]m = 10 - 7[/tex]

[tex]m =3[/tex]


Related Questions

In two or more complete sentences, describe the similarities and differences of making a purchase with a debit card and/or a credit card.

Answers

Answer:

See below

Step-by-step explanation:

When you make purchases with a debit card, you are borrowing funds from your own bank account. When you make purchases with a credit card, you are borrowing funds from the bank, typically to pay it back to the bank later.

A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Suppose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?

Answers

Answer:

The grade of this sixth and (final) test would be 91.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

João comprou uma TV por R$ 2 400,00; um celular por R$ 1 325,00 e um tênis por R$ 130,00, qual o valor total da compra?

Answers

Answer:

R $ 3855

Step-by-step explanation:

João comprou uma TV por R $ 2400,00; um celular por R $ 1350,00 e um tênis por R $ 130,00 qual o valor total da compra?

O preço total de compra é calculado como:

Custo da TV + Custo do Celular + Custo do Tênis

R $ 2400,00 + R $ 1350,00 + R $ 130,00,

= R $ 3855

A store marked up the cost of a $40 pair of
shoes by 15%. If someone used a 15% coupon
to purchase, how much did they pay for the
shoes?

Answers

Answer:

cost price of shoes=$40

Mark price=15/100*$40

=0.15*$40

=$6

total cost price of a shoes =cost price of a shoes +Mark price

=$40+$6

=$46

Therefore ,the person pay $46 for the shoes.

Step-by-step explanation:

Hope this helps u!!

PLS HELP find the lead coefficient

Answers

Answer:

it is 7

Step-by-step explanation:

What is the measure of WV?

A.) 21
B.) 42
C.) 84
D.) 104

Answers

Answer:

arc WV = 84 degrees

Step-by-step explanation:

Here, we want to get the length of the arc wv

We can use the angle arc relationship here

From what we have here, the value of the arc wv is the product of 2 and the angle facing it

Thus, we have it that;

Arc WV = 2 * angle WXV

arc WV = 2 * 42 = 84 degrees

solve the system by submission -5y-10=x
x+9y=-2

Answers

Answer:  =−20

y=2

Step-by-step explanation:

Solve for xx in -5y-10=x−5y−10=x.

x=-5y-10

x=−5y−10

2 Substitute x=-5y-10x=−5y−10 into x+9y=-2x+9y=−2.

4y-10=-2

4y−10=−2

3 Solve for yy in 4y-10=-24y−10=−2.

y=2

y=2

4 Substitute y=2y=2 into x=-5y-10x=−5y−10.

x=-20

x=−20

5 Therefore,

\begin{aligned}&x=-20\\&y=2\end{aligned}

 

x=−20

y=2

A female sea turtle buries 200 eggs in the sand. After the baby turtles hatch they hurry to make it to the relative safety of the ocean. Of the 176 babies that hatched, 124 were eaten by birds, 37 were eaten by other predators, and 3 ran the wrong direction. Suppose that just after the eggs were laid that you marked one with an X. What is the probability that your egg hatched and the baby turtle made it to the ocean?

Answers

Answer: 12%

explanation: i subtracted the ones that had been eaten,  and the ones that ran off and solved for x.

find the value of x and y pls help

Answers

Answer:

x = 50° and y = 80°

Step-by-step explanation:

x + 130° = 180° { being linear pair }

x = 180° - 130°

x = 50°

And we can see in the triangle two sides are equal so it is an isosceles triangle so the base angles are also equal.

Then

y + 50° + 50° = 180° { being sum of angles of triangle }

y + 100° = 180°

y = 180° - 100°

y = 80°

Hope it will help :)❤

Write your question here (Keep it simple and clear to get the best answer) FIND FOR X IN THE INEQUETION6-(2X-4)=3X+5

Answers

Answer:

x = 1

Step-by-step explanation:

Questions

6-(2x-4)=3x+5

Expanding the bracket

6-2x+4=3x+5

Rearranging the equation

6+4-2x=3x+5

10-2x=3x+5

Collecting like terms

10-5=3x+2x

5=5x

Dividing both sides by the quoefficient of x which is 5

5/5=5x/5

x=1

What is the answer for 2v-6/3-v ?

Answers

Step by step explanation:

2v−6

3-v

Factor the expressions that are not already factored.

2(v−3)

−v+3

Extract the negative sign in −3+v.

−2(−v+3)

−v+3

Cancel out −v+3 in both numerator and denominator.

−2

Answer:

-2

If (a−8)/3=(a−3)/2 , then a = ?

Answers

Answer:

[tex] \frac{(a - 8)}{3} = \frac{(a - 3)}{2} \\ 2(a - 8) = 3(a - 3) \\ 2a - 16 = 3a - 9 \\ 3a - 2a = - 7 \\ a = - 7[/tex]

Answer:

The value of a is -7. You can see the solution in the picture.

Bobby is playing hide-and-seek with Clarence and Heather. Clarence is hiding 75 feet south of
Bobby, and Heather is hiding due east of Clarence. If Bobby is 85 feet from Heather, how far
apart are Clarence and Heather?

Answers

Om said that he had a good

Can someone solve and explain this this is due by 1:00 pm est so no rush

Answers

Answer:

y = -x + 4

y = 3/4x - 3

Step-by-step explanation:

3x - 4y = 12

-4y = -3x + 12

y = 3/4x - 3

One with arrow on the left is y = -x + 4, the other is y = 3/4x - 3

The diagram shows a triangle.

What is the value of v?

Answers

Answer:

30

Step-by-step explanation:

(find the value of x from the given
figures.)
F
a)
120
3
solo​

Answers

Answer:

sorry,

can u repost yr question with figure plz

stay safe healthy and happy.

I neep help asap deadline 4:00pm

Answers

Answer: B each charm costs 15 dollars

Step-by-step explanation: because each money increment is 15$ so the answer is $15

~Brainliest would be appreciated

our bank granted you a single-payment loan of $31,000 for 45 days at an interest rate of 20%. Your bank charges ordinary interest. How much do you pay in interest?

Answers

Solution given:

R=rate=20%

T=time=45days =1month and 15 days =1 ½ months=⅛years

P=Principal=$31000

since bank gives/takes compound interest

so

interest=P((1+R/100)^T-1)

=31000((1+20/100)^⅛-1)=$714.6

I need to pay $ 714.6

What is the solution to the system of equations?
y = 4x – 10
y = 2
O (3, 2)
O (2, 3)
O (-2, 2)
O (2, -2)

Answers

Answer:

4x-10=2

4x=12

X=3

y=(4×3)-10

y=12-10

y=2

(3,2)

Find the area of a figure

Answers

Answer:

4.62 sq ft

Step-by-step explanation:

Area of rectangle = 2.5 x 1 = 2.5

To get area of triangle we must use the altitude theorem to find the height:

let 'x' = altitude (or height)

x/1.5 = 2/x

cross-multiply to get:

x² = 3

x = [tex]\sqrt{3}[/tex]

Area of triangle = 1/2(2.5)([tex]\sqrt{3}[/tex])

= 1.25[tex]\sqrt{3}[/tex] which is approx 2.12

Total area = 2.5 + 2.12 = 4.62

Estimate: 55 +8
50
60
7
8

Answers

Answer:

60

But the actual solution is 63.

Step-by-step explanation:

55+8=63

63

3<5 so you don't round up, you round down.

Rounding down... 60

60

But the actual solution is 63.

Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Complete the model to represent Sage’s minutes.

Enter the correct answers in the boxes.

Answers

Answer

omgggggggg same i dont know how to do it either

Step-by-step explanation:

Answer:

there is 11 min all to together for sage and tom so they did not have the same cell phone line

Step-by-step explanation:

its easy

ASAP need help look at picture thx !!

Answers

Answer:

G

Step-by-step explanation:

We can rule out F and H because those have decaying equations. If the answer was to be J, the first point would have been 1000.

Therefore, the answer is G.

A rectangular pasture has a fence around the perimeter. The length of the fence is 8x^7 and the width is 6x^4. What is the area of the pasture?

Answers

Answer:

Answer:

The area of the rectangular pasture is 768x^{11}\ unit^{2}.768x

11

unit

2

.

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

A rectangular pasture has a fence around the perimeter. The length of the fence is 16x^{7}16x

7

and the width is 48x^{4}48x

4

.

Put all the values in the formula

Area\ of\ a\ rectangular\ pasture = 16x^{7}\times 48x^{4}Area of a rectangular pasture=16x

7

×48x

4

Now by using the exponent

x^{a}\times x^{b} = x^{a+b}x

a

×x

b

=x

a+b

Area\ of\ a\ rectangular\ pasture = 16\times 48\times (x^{7+4})Area of a rectangular pasture=16×48×(x

7+4

)

Area\ of\ a\ rectangular\ pasture = 768(x^{11})Area of a rectangular pasture=768(x

11

)

Therefore the area of the rectangular pasture is 768x^{11}\ unit^{2}.768x

11

unit

2

.

Answer:

C. 768x11

Step-by-step explanation:

If anyone's good with interquartile range, median, upper quartile, lower quartile stuff, please help ASAP!

Answers

Answer: B, Range is 16, IQR is 7

Step-by-step explanation:

Quartiles:

Quartiles mark each 25% of a set of data:

The first quartile Q1 is the 25th percentile

The second quartile Q2 is the 50th percentile

The third quartile Q3 is the 75th percentile

The second quartile Q2 is easy to find. It is the median of any data set and it divides an ordered data set into upper and lower halves. The first quartile Q1 is the median of the lower half not including the value of Q2. The third quartile Q3 is the median of the upper half not including the value of Q2.

How to Calculate Quartiles:

Order your data set from lowest to highest values

Find the median. This is the second quartile Q2.

At Q2 split the ordered data set into two halves.

The lower quartile Q1 is the median of the lower half of the data.

The upper quartile Q3 is the median of the upper half of the data.

If the size of the data set is odd, do not include the median when finding the first and third quartiles. If the size of the data set is even, the median is the average of the middle 2 values in the data set. Add those 2 values, and then divide by 2. The median splits the data set into lower and upper halves and is the value of the second quartile Q2.

How to Find Interquartile Range

The interquartile range IQR is the range in values from the first quartile Q1 to the third quartile Q3. Find the IQR by subtracting Q1 from Q3.

IQR = Q3 - Q1

How to Find the Minimum:

The minimum is the smallest value in a sample data set.

Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the minimum is the smallest value x1. The formula for minimum is:

Min=x1=min(xi)ni=1

How to Find the Maximum:

The maximum is the largest value in a sample data set.

Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the maximum is the largest value xn.

Help me please!!!!
i'll give brainliest!!

Answers

The answer is it because 23 divided by the total which is 91 give you 35 as a percent

Answer:

Step-by-step explanation:

The answer is 23 i am 100% positive this answer is correct

4+9=−2−3

What is the solution to the equation above?

Answers

Answer:

13= -1

Step-by-step explanation:

In the figure below, which angle pair is a pair of alternate interior angles?
Helppp

Answers

< 3 and < 5

Because they’re angles on the “inside” and they add up to 180°

Please help me ASAP

Answers

Answer:

Perimeter is 6 2/3 units

Step-by-step explanation:

A = 3p² - 2p - 5

We can factor this to get the length and width

(3p - 5) (p + 1) = 0

3p-5 = 0

3p = 5

p = 5/3

the other factor, (p + 1) will produce a negative and you cannot have a negative length

so the length and width equal 5/3 or 1 2/3

P = 4(5/3)  =  20/3  or 6 2/3

Dale made $252 for 18 hours of work. at the same rate, how much would he make for 11 hours of work

Answers

Answer:

$154

Step-by-step explanation:

First, we need to find out how much Dale will make for 1 hour of work which means we need to divide $252 by 18 which is 14. Next, to find out how much he will make for 11 hours at work, we need to multiply 11 by 14 which is $154.

Here are the equations:

$252÷18=$14

$14×11=$154

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