The cost of a school banquet is $85 plus $12 for each person attending. Write an equation that gives the total cost of the number of people attending.

A. Y=85x-12
B. Y=12x+85
C. Y=85x+12
D. Y=12x-85

Answer:

B. $0.87

Step-by-step explanation:

Divide $10.44 by 12 (how many quarts are in 3 gallons) to get the answer.

Answer:

7x ≥ x + 6

A number signifies x.

Replace "a number" with x and then write out the inequality.

Histogram attached

Answer and explanation:

To find the center of the distribution, we find the mean of the distribution.

Mean= sum of all values/number of values

To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)

midpoint of 50-60=50+60/2=55

midpoint of 70-80=150/2= 75

midpoint of 80-90=170/2=85

midpoint of 90-100=190/2=95

midpoint of 100-110=210/2=105

Midpoint of 110-120=230/2=115

Midpoint of 120-130=250/2=125

Midpoint of 130-140=270/2=135

Midpoint of 140-150=290/2=145

Midpoint of 150-160=310/2=155

Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+

135*2+145*3+155*3

Sum of all values =8605

Number of values= 3+2+1+7+17+29+10+2+3+3=77

Mean= 8605/77= 111.753

Therefore the center of the distribution is between 110 and 120 calories.

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

Answer:

Step-by-step explanation:

x = 12

Step-by-step explanation:

The slope-intercept form formula, , can be used to write an equation for the line.

Where,

m = slope =  

b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.

Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

Let,

y-intercept of the line, b = 30

Equation for the line would be:

Using the equation, find x when y = 150.

Simply substitute the value for y in the equation to find x.

Subtract 30 from both sides

Divide both sides by 10

x = 12

Answer:

i Think it would be B

Step-by-step explanation:

Answer:

15.5 pounds on the moon

Step-by-step explanation:

hope this helps

need brainlyest plz

THANKS!!

Answer:

15.5 lb

20 is a sixth of 120, and 15.5 is a sixth of 93

Answer: About $150.

Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.

Step-by-step explanation Answer:

A -1253

-489-764 = -1253

Answer:

11x^2+2x+9

Step-by-step explanation:

2+(2+6)⋅x^2+2x+3x^2+7

2+(8)⋅x^2+2x+3x^2+7

2+8x^2+2x+3x^2+7

9+8x^2+2x+3x^2

9+8x^2+2x+3x^2

11x^2+2x+9

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer:

good job

Step-by-step explanation:

Answer: 1/8

[tex]2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

$38.97

Step-by-step explanation:

100% - 10% = 90% = 0.9

$40 × 0.9 = $36

100% + 8.25% = 108.25% = 1.0825

$36 × 1.0825 = $38.97

By adding all the money she spend we get $0.69

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.

We need to find the money she spend in all.

Therefore, we have to add all the expenditure

0.25 + 0.30 + 0.10 + 0.04 = 0.69

The total money she spend could be 0.69.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

x=1/2 or 0.5

Step-by-step explanation:

Answer:

The unit rate is 5 toy per carton on the graph

Answer:

30 months total

Step-by-step explanation:

15+5=20

600÷20=30

Answer:

1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No

Step-by-step explanation:

Answer:

The x intercept is (4,0) and the y intercept is (0,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form

[tex]y = mx + b[/tex]

we are given

[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]

now, we can set y to 0 and solve

[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]

The x-intercept is (4, 0)

Answer:

x^2-15=1

x^2=16

4 x 4 = 16

THerefore...

x=4

Depending on how many choices there are -4 is also correct.

Any number squared is a positive.

x=4, x=-4

Step-by-step explanation:

Answer:

Gina—her standardized score is higher than Colleen’s.

Step-by-step explanation:

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.

We solve this question using z score formula also know as standardized score formula which is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.

x = 500

μ = 470

σ = 110

Hence, the z score is given as:

z = 500 - 470/110

z = 0.27273

Gina's z or standardized score is 0.27273

For Colleen

Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.

In 2013 the mean was 515 and the standard deviation was 116.

x = 530

μ = 515

σ = 116

Hence, the z score is given as:

z = 530 - 515/116

z = 0.12931

Colleen's z or standardized score is 0.12931

The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.

Answer:answer is 387

Step-by-step explanation:ok got it

Answer:

There are 33 students in the class.

Step-by-step explanation:

Answer:

he needs about 137.92 I guess

Answer: x= 0

Step-by-step explanation:

5x + 4 = 2(x + 2)       First distribute on the right side  of the equation

5x + 4 = 2x + 4         Subtract 2x from both sides

-2x          -2x

     3x + 4  =  4        Subtract 4 from both sides

          -4         -4

    3x = 0      Divide both side by 3

     x = 0