The cost for 2 adults and 5 children to eat at the local buffet restaurant is \$46.50 . The cost for 1 adult and 1 child is $15. What is the cost of a child's meal ?

Answers

Answer 1

Answer:

c = 5.5

Step-by-step explanation:

2 a + 5 c = 46.50

a + c = 15

a = 15 - c

2(15-c ) +5c = 46.50

30 - 2c +5c = 46.5

3c = 16.5

c = 5.5

Answer 2
Let a be the adults and c be the children.

For the first equation there are 2 adults and 5 children so the equation is:-

2a + 5c = 46.50

And for the second equation there is 1 adult and 1 child. So the equation is:-

a + c = 15

a = 15 - c

You take this formula and substitute it to the above formula (2a + 5c = 46.50)

➡️ 2a + 5c = 46.50

➡️ 2(15 - c) + 5c = 46.50

➡️ 30 -2c + 5c = 46.50

➡️ 5c - 2c = 46.50 - 30
(You collect like terms)

➡️ 3c = 16.5

➡️ c = 16.5/3

➡️ c = 5.5

Related Questions

solve the equation 2x+1=x-3​

Answers

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

=

3

2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

1

1

from both sides of the equation

2

+

1

=

3

2x+1=x-3

2x+1=x−3

2

+

1

1

=

3

1

2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

4

2x=x-4

2x=x−4

3

Subtract

x

x

from both sides of the equation

2

=

4

2x=x-4

2x=x−4

2

=

4

2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}

2x−x=x−4−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

4

x=-4

x=−4

Solution

=

4

I need help ASAP!!Please be sure that you know the answer

Answers

Answer:area is 60, height is 4, and perimeter is 34

Step-by-step explanation:

The question is in the picture ​

Answers

Answer:

dalam rajah 1 and read the full q that is the ans

Answer:

x = 91° , y = 52°

Step-by-step explanation:

Opposite angles add up to 180°.

Therefore :

1. x° + 89° = 180°

x° = 180° - 89°

x° = 91° #

2. 76° + 2y° = 180°

2y° = 180° - 76°

2y° = 104°

y° = 104° / 2

y° = 52°#

Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the nearest tenth of a percent.

Answers

Answer:

Decrease by 3.9%

Step-by-step explanation:

54,500(1-x) = 52355

x=0.03935... = 3.935% or 3.9%

Answer:

first we subtract his new salary from the old salary to get the decrease.

Then percentage decrease ,we get the decrease over the new salary and multuply by 100. to get the percentage decrease

If the ratio of x+y to x-y is 2/5, what's the ratio of y to x ?

Answers

9514 1404 393

Answer:

  y/x = -3/7

Step-by-step explanation:

Write the given relationship and solve for y/x.

  (x +y)/(x -y) = 2/5

  5(x +y) = 2(x -y) . . . . . multiply by 5(x-y)

  5x +5y = 2x -2y . . . . . eliminate parentheses

  7y = -3x . . . . . . . . . . . add 2y-5x

  y/x = -3/7 . . . . . . . . divide by 7x

Help me solve this thanks to who ever will I really appreciate it

Answers

Answer:

135

Step-by-step explanation:

The equation is 135+90+x=360. x=360-(225)=135

I forgot everything I learned

Answers

Answer:

What do you need help with

Step-by-step explanation:

Do you need help with a specific question? Or with the whole assignment?

Describe the solution to the inequality. r < –3

Answers

Answer:

98

Step-by-step explanation:

vHelena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.

In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?

1 combination
4 combinations
21 combinations
24 combinations

Answers

24

i'm pretty sure of this, if those are the four possible answers.

Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.

Answers

Answer:

x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

-----------------------------------------------------------------------------------

Equate the last 2 parts of the ratios on both sides and solve for y

[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )

y = [tex]\frac{27}{4}[/tex]

Slide the green dot from 0 to plot the number at the correct
location.
Use the number line and the additive inverse to find the
difference.
Plot -
-3.5 -3
-2.5 -2
-1.5 -1
-0.5
0
0.5
1​

Answers

A,c,e if it’s not a,c,e I’m sorry I’m just trying to help

help me please!! first write the subtraction with a common denominator then subtract

Answers

Answer:

hope it helps you

Step-by-step explanation:

pls kindly mark it brainliest answer

Answer:

[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]

Step-by-step explanation:

3/5 - 1/3

Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator

3/5 times 3/3 = 9/15

Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator

1/3 times 5/5 = 5/15

9 / 15 - 5 / 15 = 4/15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast

Answers

Answer:

-12 & -18

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?

Answers

Answer:

base = 13 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 52 and h = 8 , then

[tex]\frac{1}{2}[/tex] b × 8 = 52

4b = 52 ( divide both sides by 4 )

b = 13

help do y’all know this! Please if u do i need the answer

Answers

9.4 × [tex]10^{2}[/tex]

1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40

2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left

3) We know that the notation is a x [tex]10^{b}[/tex]

a=9.4 and 6=2

9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]

I hope I've helped!

Answer:

9.4x10^8

Step-by-step explanation:

940 million looks like

940,000,000. in scientific notation you would move the decimal left 8 spaces

PLS HELP ME I WILL MARK YOU AS BRAINLIEST!!!

Answers

Answer:

volume = length x width x height

v=11x5x11 = 605

hope that answers your question

Please help explanation if possible

Answers

Answer:

y = 4x-31

Step-by-step explanation:

parallel lines, slope is the same.

two ways to solve it,

y=4x+c

sub y = -11. x =5

-11 = 4(5) + c

c = -31

OR

y-(-11) = 4(x-5)

y+11=4x-20

y=4x-20-11

y=4x-31

Answer:

The equation is y = 4x - 31

Step-by-step explanation:

y - y1 = m (x - x1)

y - (-11) = 4 (x - 5)

y + 11 = 4x - 20

y = 4x - 20 -11

y = 4x - 31

Select the correct answer from each drop-down menu. The simplest form of the expression has in the numerator and in the denominator.

Answers

Answer:

Numerator is 7 and denominator is (m+4)

Step-by-step explanation:

(4m-17)/(m^2-16)+(3m-11)/(m^2-16)=(7m-28)/(m^2-16)=7/(m+4)

A
B
C
D
PICK ONE
Correct answer will get you brainiest

Answers

Answer:

¾

Explanation:

A number is said to be rational if it can be expressed in the form p/q, where q is not 0.

In the given options, only ¾ fulfills this criteria.

Answer:

it's answer is c.......

Help asap struggling

Answers

Answer:

..D).... x = 8..

Step-by-step explanation:

..x = 8..

The perimeter of a rectangle is 40 inches. If the width is 9 inches, what is the area of the rectangle?

Answers

Answer:

99 in²

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

40 = 2(length) + 2(9)

40 = 2L + 18

40 - 18 = 2l

22 = 2l

L = 11

Area = length x width

Area = 9 x 11 = 99

99 square inches

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 360

Step-by-step explanation:

you multiply 40 and 9.

first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360

What is the Answer to: 120 Times 2/3

Answers

Answer:

80

Step-by-step explanation:

You could multiply by 2 and then divide by 3

120*2 = 240

240/3 = 80

Or you could divide by 3 and then multiply by 2

120/3 = 40

40*2 = 80

Answer:

80

Step-by-step explanation:

120 × 2/3= 120/1 × 2/3= 240/3= 80

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Complementary angles always are 90 degrees when added to each other, so:

x = angle 1

x + 89.8 = angle 2

x + x + 89.8 = 90

2x = 90 - 89.8

2x = 0.2

x = 0.1

angle 1 = 0.1 degrees

angle 2 = 0.1 + 89.8 = 89.9 degrees

if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90

____×____=126

Fill the blank pls I need it fast​

Answers

Answer:

Answer for this is 62 * 2 = 126

Step-by-step explanation:

Answer:

14×9=126

Step-by-step explanation:

how do you explain it lol

Prove the given statement below. Please

Answers

Answer:

Step-by-step explanation:

You need to know all the angle properties. Hope this helps

Answered by G a u t h m a t h

Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.

Answers

Answer:

Step 1 should have a -2 substituted for both values.

A medical school admissions officer was interested in whether there is a difference in MCAT test scores (the standardized test used for medical school admission) between (1) biological sciences majors, (2) social science majors and (3) math majors. The admissions officer randomly sampled 50 students from each of these majors who applied to medical school in 2014 and recorded their MCAT score. Here are the three sample standard deviations for the MCAT scores for the three groups (biological sciences majors, social sciences majors, math majors): Column Std. Head Biological Sciences 5.3115216 Social Sciences 6.1661669 Math 4.7821787 Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA? Yes, because 6.17 − 4.78 < 2. Yes, because 6.17/4.78 < 2. No, because the standard deviations are not equal.

Answers

Answer:

Yes, because 6.17/4.78 < 2

Step-by-step explanation:

To test for equal standard deviation ;

Condition is met if the ratio of the large sample standard deviation to the smaer sample standard deviation is less than 2

Sample standard deviation;

Sciences 6.1661669

Math 4.7821787

Biological Sciences 5.3115216

The largest sample standard deviation = 6.1661669

The smallest sample standard deviation = 4.7821787

F statistic = 6.1661669 / 4.7821787 = 1.2894053

F statistic < 2 ; Hence, condition for equal standard deviation is met.

Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!

Answers

Start at the point (6,3), from there, use rise over run. From the given point, rise up 1, and go right 4.

To get a before point, start at the given point (6,3). Move along the x axis backwards four, and down 1. (2,2)

Name the number system in which only the whole number less than 5 are used


Stay Safe, Stay Happy and stay healthy ​

Answers

Step-by-step explanation:

Whole numbers less than 5 may be termed as Rational numbers.

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Answer:

the answer is the number 6

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