A school luncheon made $630. Adult tickets cost $11 each and child tickets cost eight dollars each. The number of children was half the number of adults. How many of each ticket were sold?

Answers

Answer 1
Hello! Lets first start with defining our variables:
a = adult tickets
c = child tickets
Now let’s set up a system of equations:
11a + 8c = 630
c = 1/2a (this can be confusing to some people but the CHILDREN TICKETS = HALF THE ADULT TICKETS)
Ok now we have to solve this:
11a + 8c = 630
c= 1/2a [you can solve this system of equations using substitution!]
11a + 8(1/2a) = 630
11a + 4a = 630
15a = 630
a = 42 (now we know our a value and we can plug that in to find c!)
c = 1/2a
c = 1/2(42)
c = 21
you can check this by plugging in your c and a value into both equations! I hope this helps! :)
Answer: a=42, c=21

Related Questions

what do i do with this

Answers

Answer: you should plot it a -3.2

Step-by-step explanation:

Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?

Answers

Answer:

48 dimes and 62 quarters

Step-by-step explanation:

Jade uses 28 inches of string to make bracelets. Each bracelet is 7 inches long. How many bracelets does Jade make?

Answers

Answer:

Jade made 4 bracelets

Step-by-step explanation:

If the string was 28inches and a bracelets requires 7inches 28÷7=4

Have a great day

If m 2 n, which inequalities must be true? Check all that apply.
Om + 2.1 > n + 2.1
m - (-4) 2 n-(-4)
m + 3 n-3
16.5 + m > 16.5 + n
1
U
m 2 n +
U
9 + m > 6+n

Answers

Answer:

[tex](a)\ m+ 2.1 > n + 2.1[/tex]

[tex](b).\ m - (-4) > n - (-4)[/tex]

[tex](c)\ 9 +m> 6 + n[/tex]

Step-by-step explanation:

Given

[tex]m > n[/tex]

Required

Select true inequalities

[tex](a)\ m+ 2.1 > n + 2.1[/tex]

Subtract 2.1 from both sides

[tex]m > n[/tex]

This is true

[tex](b).\ m - (-4) > n - (-4)[/tex]

Open brackets

[tex]m + 4 > n + 4[/tex]

Subtract 4 from both sides

[tex]m > n[/tex]

[tex](c)\ 9 +m> 6 + n[/tex]

[tex]m> -9+6 + n[/tex]

[tex]m> n-3[/tex]

This is also true

Answer:

A,B,D

Step-by-step explanation:

A club raised 80% of its goal for a charity. The club raised $1076. What was the goal?

Answers

Answer:

860.8

Step-by-step explanation:

Find the product (6x² + 2x)(x²+4x)

Answers

Answer:

6x⁴ + 26x³ + 8x²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]

Step-by-step explanation:

Step 1: Define

(6x² + 2x)(x² + 4x)

Step 2: Expand

FOIL:                               6x⁴ + 24x³ + 2x³ + 8x²Combine like terms:      6x⁴ + 26x³ + 8x²

I’m having trouble with this question can someone help me

Answers

Answer:

Step-by-step explanation:

sinP = ST/PS = RQ/PQ

Mhanifa please help I will mark brainliest

Answers

Answer:

36°90°

Step-by-step explanation:

Question 1

x = 180° - 2*72° = 180° - 144° = 36°

Question 2

x + 2(x/2) = 180°2x = 180°x = 90°

Can some write the correct inequality graph below

Answers

Answer:

x≥-6

Step-by-step explanation:

Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)

A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees

Answers

............The answer is A

Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

x=-3

Step-by-step explanation:

y-4=(3-4)/(-3-(-3))(x+3)

y-4=1/(-3+3)  (x+3)

y-4=1/0(x+3)

or x+3=0

x=-3

the ratio of boys to girls at space camp is 3:2 if there is a total of 60 campers,then how many of the campers are girls

Answers

Answer:

24

Step-by-step explanation:

3+2=5

5u-> 60

1u->12

2u-> 24


A tile is 4 inches long
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)

Answers

Answer:

294.64

Step-by-step explanation:

1 inch has 2.54 centimeters.

Answer:

The Answer is B: 16 Because 1 tile is 4 inches long and 4 tiles is 4x4=16

Step-by-step explanation:

so alot of the text got cut off so im going to re wright the problem

An illusionist needs both female and male volunteers for a show he needs no more then 10 volunteers for a show the illusionist needs fewwr then 4 female volunteers let X represent the number of female volunteers and Y represent the number of male volunteers which inqualities model the situation select eatch correct answer​

Answers

Answer:

A. x+y<10

B. x+y≤10

Step-by-step explanation:

A is correct because they can be less than.

B is correct because there is less than or equal too of numbers of volunteers.

C, D, and E cannot be correct however, because that means that they can be over at any number. Therefore, these three would be incorrect.

The high temperature is 35 degrees and the low is -2 degrees. What is the difference between the high temp and low temp?

Answers

Answer:

33

Step-by-step explanation:

Answer:

It should be 37

Step-by-step explanation:

sorry if its wrong

If x is to 8 as 15 is to 12, then x equals...

Answers

Answer:

12/8 = 6/4 = 3/2; 2/3 * 15 = 10

Step-by-step explanation:

X equals 10 I think

13.65 = h + 4.88 What the answer

Answers

Answer:

h = 8.77

Step-by-step explanation:

Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:

h + 4.88 = 13.65

h + 4.88 (-4.88) = 13.65 (-4.88)

h = 13.65 - 4.88

h = 8.77

8.77 is your answer for h.

~

cuál es el porcentaje de descuento de 70 a 45​

Answers

Answer:

no habla espanol, sorry

Answer:

Utilizando la fórmula 2 y sustituyendo los valores indicados:

Precio de venta = Precio original - Valor del descuento. Así,

Precio de venta = 45 - 31.5

Precio de venta = $13.5 (respuesta)

Esto significa que el costo del artículo para usted es $13.5.

Usted pagará $13.5 por un artículo cuyo precio original fue $45 con un descuento de 70%.

En otras palabras, si usted compra una mercancía por $45 con 70% de descuento, Usted pagará $(45 - 31.5) = $13.5

Step-by-step explanation:

esoes

order the following from least to greatest 5.392, 5.932, 0.593, 0.9

Answers

Answer:

0.593, 0.9, 5.392, 5.932

Step-by-step explanation:

hope this helps^-^

0.593, 5.392, 5.932, 0.9
Hope that helped

Pls help extra points and mark brainlist

Answers

I’m pretty sure the coefficient would be 5, sorry if I’m wrong.

Answer: 3

Step-by-step explanation:

A term is a group of numbers and variables.

In your expression, there are 3 term: 3k, 10, and 5n^3

A coefficient is just the number attached to the variable.

In the term 3k, the first one in your expression, the 3 is the coefficient because it is being multiplied by an unknown, k. There is also another term with a variable in your expression: 5n^3. 5 would be the coefficient because it is being multiplied by an unknown, n, multiplied by itself three times

A constant is just a number.

In your expression, 10 is a constant because it doesn't have a variable, so no matter what the other variables are, that term will always stay 10

Hope this helps :)

A certain cell phone advertises a mean battery life of 32 hours. Suppose the battery life of these phones follows a Normal distribution with standard deviation 2.5 hours. If 5 of these phones are randomly selected from the factory, then there is about a 95% probability that the sample mean will fall in which interval?
Find the z-table here.
7.5–56.5 hours
21.0–43.0 hours
27.1–36.9 hours
29.8–34.2 hours
31.0–33.0 hours

Answers

Answer:

29.8–34.2 hours

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean of 32, standard deviation of 2.5.

Sample:

Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]

There is about a 95% probability that the sample mean will fall in which interval?

Within 2 standard deviations of the mean. So

32 - 2*1.1 = 32 - 2.2 = 29.8

32 + 2*1.1 = 32 + 2.2 = 34.2 hours

In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

Your answer would be 2

Step-by-step explanation:

I would explain but its too hard

Pam has 24 marbles she put 3 fourth in a jar how many marbles does she have

Answers

Answer:

6 outside

18 in the jar

Step-by-step explanation:

b) Two coins are tossed, find the probability that one head only is obtained.

Answers

answer is 2/3...........

Does anyone know the answer and could you explain how you got your answer? THANK YOUU​

Answers

Answer:

This would be a 60% increase

Step-by-step explanation:

40-25 and divided by 25 times 100

you should get 15/25 multiply it by 100=60%

In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed?

Answers

9


8.842 but the answer would have to be rounded because you can’t have .842 coaches... the answers 9!!!!

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.

The following are the scores for some (not all) of her students.

Student Test Score Z- score
A 205 0.08
B 199 ______
C 266 1.68
D 222 ______
E 188 -0.37
F 172 ______
G 184 -0.47
H 215 ______

The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores.
For z = 2.00, test score = ____________
For z - -2.00, test score = ____________

Answers

Answer:

The answer is below

Step-by-step explanation:

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .

Solution:

The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = 202, σ = 38.2

i) for student B, x = 199. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]

ii) for student D, x = 222. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]

iii) for student F, x = 172. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]

iv) for student H, x = 215. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]

For z = 2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]

For z = -2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]

Shade the number line to show 3/5 x 5/8

Answers

Answer:

15/40 = 3/8

Step-by-step explanation:

numerator x numerator & denominaror x denominaror

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

What is a number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:

So,

3/5 = 0.6

5/8 = 0.625

Next,

We can multiply these decimals together to find the product:

= 0.6 x 0.625

= 0.375

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.

The shaded point should fall between 0.3 and 0.4 on the number line.

Thus,

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ2

Please help ASAP will give Brainlyest answer :M/5=2

Answers

Is that / fouse to be a divided sign

what is the value of X in the equation 6X+3+4=1/2(9+10X)

Answers

Answer:

[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]

Step-by-step explanation:

sana p mkatulong............

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