1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sp2606 [1]
2 years ago
14

The cost of 2 plates of spaghetti & 1 plate of salad is $27.50. The cost for 4 plates of spaghetti & 3 salads is $59.50.

Find the cost of a plate of spaghetti and a salad.

Mathematics
1 answer:
k0ka [10]2 years ago
8 0

2a+1b=27.50

4a+2b=59.50

Multiply first equation by -4 and the second by 2 so you can drop off the a values then add the equations together.  Then solve for b.  You should get b=6.

Then plug b into one of the original equations and solve for a and you should get 10.75

So a plate of spaghetti is $10.75 and a salad is $6.

<em><u>Please mark brainliest!</u></em>

You might be interested in
A restaurant wishes to have at least one server for every 12 tables. Each of the tables in the restaurant seats four guests. If
Fiesta28 [93]
X = number of servers
y = number of guests

\text {number of guest per table = } 4<span>

</span>\text {number of tables = } \dfrac{y}{4}
<span>
</span>\text {number of servers needed = } \dfrac{y}{4} \div 12<span>

</span>\text {number of servers needed = } \dfrac{y}{4} \times  \dfrac{1}{12}

\text {number of servers needed = } \dfrac{y}{48}

There must be at least 1 server for every 12 tables:
x \geq \dfrac{y}{48}
8 0
3 years ago
HELP I NEED THIS DONE QUICKK CAN ANNYONE HELP???????????????????????????????????????????????????????????????????????????????????
natulia [17]
For the first question, it would be D: \frac{1}{3} ÷ 9. This is because to solve a division problem with fractions, you would need to multiply the first fraction by the reciprocal of the second fraction. For the second question, the answer would be D: 32. This can be solved by dividing 8 by \frac{1}{4} or 0.25. For the third question, it would be D. \frac{1}{12}. This can be solved by dividing \frac{1}{4} by 3. For the fourth question, the answer would be \frac{1}{12}. This can be found by flipping the 4, which would make it look like \frac{1}{4}, and multiplying it by \frac{1}{3}. For the last question, 1 would be B, 2 would be C, 3 would be C, and 4 would be A.

Hope this helps ^-^
6 0
3 years ago
Roll the number cube to find the observed frequency. Which statements are true? Check all that apply
ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

Total = 11 + 16 + 14 + 20 + 12 + 17

Total = 90

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

RF= \frac{Observed\ Frequency}{Total}

For roll 4

Observed\ frequency = 20

So, the relative frequency is:

RF = \frac{20}{90}

Simplify

RF = \frac{2}{9}

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

Observed\ frequency = 14

The experimental probability is:

Pr = \frac{14}{90}

Simplify

Pr = \frac{7}{45} = 0.156

To calculate  the theoretical probability, w have:

S = \{1,2,3,4,5,6\} ---- sample space

n(S)= 6

n(3) = 1 --- number of times 3 occur

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The theoretical probability is greater\ than\ the experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

Using the explanations in (b), we have:

For roll 2

Observed\ frequency = 16

The experimental probability is:

Pr = \frac{16}{90}

Simplify

Pr = \frac{8}{45} = 0.178

To calculate the theoretical probability, we have:

n(S)= 6

n(2) = 1

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The experimental probability is greater\ than\ the theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

Observed\ frequency = 12

The relative frequency is:

RF = \frac{12}{90}

Simplify

RF = \frac{2}{15}

<em>(d) is true</em>

7 0
2 years ago
Suppose (1,19) is on the graph of y = f (x). Which of the following points lies on the graph of the transformed function y = f(1
o-na [289]

Answer:

(5,19) lies on the graph of the transformed function y = f(1/5x)

Step-by-step explanation:

Suppose (1,19) is on the graph of y = f (x)

the graph of the transformed function y = f(1/5x)

y=f(\frac{1}{5}x)

1/5 is multiplied with x  in f(x)

1/5 is less than 1 so there will be a horizontal stretch in the graph by the factor of 1/5

To make horizontal stretch we change the point

f(x)=f(bx) then (x,y) --->( x/b,y)

We divide the x coordinate by the fraction 1/5

(1,19) ----> (\frac{1}{\frac{1}{5}} , 19)= (5,19)

So (5,19) lies on the graph of the transformed function y = f(1/5x)

8 0
3 years ago
For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Close
sesenic [268]

Answer:

Convert each fraction to its percentage form:

= 36 / 40

= 90%

= 1/3

= 33.3%

= 70/100

= 70%

= 1 / 8

= 12.5%

Looking at the percentages:

= 36 / 40 is closest to 1.

= 1/3 <u>and</u> 70/100 are closest to one half which is 50%

= 1/8 is closest to 0.

8 0
3 years ago
Other questions:
  • To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
    12·1 answer
  • 3) Expresa mediante una fórmula la función que a un número entero x le hace corresponder el doble del número siguiente a x. Haz
    6·2 answers
  • This is hard so i put more points and uhm this is stupid -w-
    15·2 answers
  • Three times a number t minus twelve equals forty
    8·1 answer
  • Which of the following is not a way to represent the solution of the inequality 8x – (5x + 4) 2-31?
    6·1 answer
  • Please help me with number 6
    9·2 answers
  • The edhelper clothes store at the mall has four employees (alexandra, lauren, cameron, and daniel). This week they worked 19, 21
    12·1 answer
  • What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high​
    6·2 answers
  • What are the like terms in the algebraic expression?
    12·1 answer
  • PLEASE CAN SOMEONE HELP IM SO DESPERATE IVE BEEN STUCK ON THIS FOREVER
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!