A catering business charges $50 to cater a meal for an event. The business also charges $12.50 per person for dinners that include chicken and $14.00 per person for dinners that include beef. Determine the charge for catering a dinner if 12 people request chicken and 8 request beef.
Answer: 312
Step-by-step explanation:
First you start with 50 dollar
then multiply 12.50 by 12
then multiply 14.00 by 8
last add everying thing up; 50+150+112
and you get 312 dollars
aka: $312.00
If the area of a triangle is 28in2 and the height is 8 inches, determine the length of the base.
area of triangle formula = ½ × B × H
28in2 = ½ × B × (8)
28in2 = 4 × B
28 ÷ 4 = B
Therefore, length of base = 7 inches
i hope my solution helps :))
In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now? In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now?
Answer:
x = 45
45 years old
Step-by-step explanation:
x + 3 = 4(x - 33)
x + 3 = 4x - 132
x - 4x = - 132 - 3
-3x = -135
x = -135/-3
x = 45
Sasha's soccer team, the Strykers, tracked the number of goals they scored over the first 7 games of the season below. 3, 7, 3, 0, 5, 8, 2 What is the mean number of goals the Strykers scored each game?
Given :
The number of goals they scored over the first 7 games of the season are :
3, 7, 3, 0, 5, 8, 2 .
To Find :
The mean number of goals the Strikers scored each game .
Solution :
We know , mean of numbers is given by :
[tex]M=\dfrac{\text{Sum of all numbers}}{\text{Total numbers}}\\\\M = \dfrac{3+7+3+0+5+8+2}{7}\\\\M=\dfrac{28}{7}\\\\M=4[/tex]
Therefore , the mean number of goals the Strikers scored each game is 4 .
Hence , this is the required solution .
what is the algebraic expression of three fourths the square of b
Answer: 3x-x+2=4
Step-by-step explanation:
At a concert 60% of the audience are adults . 25% of those remaining are boys and the rest of the audience members are girls .There are 30 girls altogether. How many a people are the at the concert?
Answer:
1800 people were at the concert.
Hello there! :D
Its math time!!
Alright, let's write out all the percentages.
60%= adults
25%= boys
There are thirty girls.
We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.
60+25= 85
100-85=15
So, 15% of the audience are girls. That is equal to 30 people.
I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.
30*4= 120 adults
We can also take 15 and divide it by 3 (as well as 30) so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.
15/3= 5%
30/3=10
Now we just need to know how many fives go into 25, which is 5.
5*10= 50
Add that to the number of adults and girls:
50+120+30= 200 people
There are 200 people at the concert!
I hope this helped you and you have a wonderful day,
Kai xx
Find the distance between the points (-16,10) and (2,-14)
Answer: The distance is 30
Step-by-step explanation:
To find the distance between the two points,find the difference between the x and y values, square them and add them to find their square root.
10 - (-14) = 24
-16 - 2= -18
24^2 + 18^2 = d^2 where d is the distance
576 + 324 = d^2
900 =d^2
d = [tex]\sqrt{900}[/tex]
d= 30
Answer:
d=30
Step-by-step explanation:
distance between 2 points: d
d=√(x2-x1)²+(y2-y1)² (-16,10) and (2,-14)
d=√(2-(-16)²+(-14-10)²
d=√18²+(-24)²
d=√324+576
d=√900
d=30
Perform the indicated operation.
Answer:
-22
Step-by-step explanation:
-18 - 4 =
We are subtracting both number so add them and then give them a negative sign
-( 18+4)
-22
Answer:
-22
Step-by-step explanation:
Larry pours 11 gallons of water equally into 4 containers. Which equation shows how to find how many gallons of water there are in each container? A. B. C. D.
Answer:
2 3/4 gallons in each container
Step-by-step explanation:
Gallons of water = 11
Containers = 4
Larry pours 11 gallons of water equally into 4 containers
Gallons of water in each container = Total gallons of water / number of containers
= 11 / 4
= 2 3/4
There are 2 3/4 gallons of water in each containers
The equation is
Gallons of water in each container = Total gallons of water / number of containers
You have quarters and dimes that total $2.80. Your friend says it is possible that the number of quarters is 8 more than the number of dimes. Is your friend correct? Let d represent the number of dimes
An equation that models this situation is _____=2.80
(I’m so stupid help)
Answer:
Step-by-step explanation:
d = number of dimes
2.80 = 0.1d + 0.25 (d + 8 )
2.80 = 0.1d + 0.25d + 2 Combine like terms
2.80 = 0.35d + 2 Subtract 2 from both sides
0.80 = 0.35d Divide both sides by 0.35
d ≈ 2.29
No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.
It takes 2 gallons of milk to make a batch of ice cream. How many gallons of milk does it take to make 15.2 batches of ice cream?
Answer:
30.4
Step-by-step explanation:
2 times 15.2
HELP NEEDED IMMEDIATELY
Answer:
Step-by-step explanation:
B:Convert the fractional part only then add it to the whole number.
C : 9 1/2,3π,92/5,91/10
B : √26,5.5,5.8,31/5
B: -7,20/3, 7.1 ,√51 , 6π
C: -π , -√5 , -3/2,-1.03
4) A scuba diver swam 112 feet beneath the surface of
the ocean. He then climbs up 63 feet. What is his depth
now?
Answer:
-49
Step-by-step explanation:
0-112+63=x
-112+63=x
-49=x
Answer:
-49 aka 49 feet below the surface/
Step-by-step explanation:
112-63=49 but make it negitave.
1. Runners in the Peachtree Road Race line up for 1 mile to start the race. If each person needs 2.5
square feet of space, approximately how many people are there if the road is 60 feet wide?
Answer:
SteYou choose! Maybe you always wanted to do a marathon! Now you can do it over the 15 days of the virtual race...at your own speed!
1M, 5K, 10K, half marathon or marathon options
How do you find the domain and range of a function and write it in set notation? What is the process of finding it? Tips and tricks are very much appreciated. I literally have no clue how to get them. Send help?
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Step-by-step explanation:
plz forgive me if my answer is wrong
Domain = looking for the very far left value and the very far right value on the x-axis, and only x-axis, so the farthest left x-axis value and the farthest right x-axis value.
Range = very bottom y-value, and very top y-value
In both cases, if the arrows extend forever then that means you could have the value of infinity.
Please help me out please!!!!!!
Answer:
you're nearly there
x/4, x/44x, 4xStep-by-step explanation:
You have obviously determined the correct entry in the top box of each pair. What you seem to have failed to observe is that the bottom box in each pair needs exactly the same entry as the top box.
_____
You figure this out by looking at the stuff that is outside the box. The numbers and symbols for the second box show how the function indicated outside the first box is evaluated. That is f(x) at the top becomes 4x at the bottom, where x (in this case) is x/4 for both.
what are the advantage of buying a new vehicle
Answer:
I don't really understand what this means but the advantage of buying a new vehicle gives you a better car and if its better you can use less gas on it or maybe it goes faster and has more ways to drive it.
Step-by-step explanation:
This is true of false??
Answer:
It's TRUE!
CLOSURE PROPERTY IS USED !
PLEASE OPEN THIS, I NEED HELP!!!! WHAT BELONGS IN THE ? AND WHY?
Answer: see below
Step-by-step explanation:
Write each equation in y = mx + b format where m is the slope and b is the y-intercept.
Left side: -4 ≤ x < -1
If you continue the line through the y-axis it will pass through (0, 4) --> b = 4
The rise over run is -1 over 1 --> m = -1
y = (-1)x + (4) --> y = -x + 4
Right side: -1 < x < 4
The line passes through (0,0) --> b = 0.
The rise over run is -1 over 1 --> m = -1
y = (-1)x + (0) --> y = -x
[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]
Please solve this question and show your work! Thank you!
Answer:
[tex]u<-1\text{ or } u>2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-3|2-4u|+5<-13[/tex]
First, subtract -5 from both sides:
[tex]-3|2-4u|<-18[/tex]
Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:
[tex]|2-4u|>6[/tex]
Definition of absolute value:
[tex]2-4u>6\text{ or } 2-4u<-6[/tex]
Note that we flip the sign on the right because we multiplied 6 by a negative.
On both the left and right, subtract 2:
[tex]-4u>4\text{ or } -4u<-8[/tex]
Divide both equations by -4. Since we're dividing by a negative, flip the signs:
[tex]u<-1\text{ or } u>2[/tex]
So, our final solution is:
[tex]u<-1\text{ or } u>2[/tex]
And we're done!
If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not downhill? Reduce to the lowest terms.
Answer:
81 miles
Step-by-step explanation:
From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.
Miles = 270
Downhill = 7/10
Not downhill = 3/10
Now we have To calculate Miles that are not downhill (uphill)
But first I calculated for the number of downhill miles
270x7/10
Downhill = 189 miles
To get the number of not downhill miles
I subtracted 189 from the total number of miles on the question.
270 - 189
= 81 Miles.
Therefore 81 Miles of the trip are not downhill.
If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!
Please help and show your work TwT
Answer:
≤
Step-by-step explanation:
First we solve 5(x + 2) ≥ 2(x + 8).
5x + 10 ≥ 2x + 16
3x ≥ 6
x ≥ 2.
Now we place an equal sign into the box:
4(x - 6) = 2(x - 10)
4x - 24 = 2x - 20
2x = 4
x = 2.
For the solution to only have 1 value, the solution must be x = 2.
Therefore we must have x ≥ 2 and x ≤ 2.
Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn supplies cost him $0.15 per bag sold. Rodney sold the popcorn for $1.00 per bag. How much profit did Rodney make if he sold 200 bags of popcorn?
Answer:
100$
Step-by-step explanation:
he profit from 1 popcorn=0.85$
from 200=170$
170$-70$=100
Answer: 100 dollars
Step-by-step explanation:
Lucas is having posters made for a school event. The setup fee for producing the posters is $18, and each poster he has made costs an additional $1.50. If the total cost of Lucas's posters is $42, how many posters did he have made?
find the X in the following figure
Answer:
x = 135°
Step-by-step explanation:
Sum of interior angles of a pentagon is 540°
x + 80 + 110 + 95 + 120 = 540
--> x = 540 - 80 - 110 - 95 - 120 = 135
2. Continuous data are usually _____________________, but discrete data are usually ______________________.
Answer:
Measured and Counted.
Step-by-step explanation:
Continuous data are usually “Measured”, but discrete data are usually “Counted”.
The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.
A recipe needs a ratio of 2.5 of sugar to flour. If Joe uses 60g of sugar, how much flour should he use?
Answer:
150 g
Step-by-step explanation:
The 2 part of the ratio represents 60 g , thus
60 g ÷ 2 = 30 g ← value of 1 part of the ratio, then
5 parts = 5 × 30 g = 150 g ← amount of flour required
Increasing a number by 14 yields the same result as taking one-half of 40.
Answer:
6
Step-by-step explanation:
6+14=20
40/2+20
−2, −1, 0, 1 Which pair of numbers has a sum of zero? A . 1, −1 B. −2, 0 C.−2, 1 D.−1, 0
Answer:
The correct answer i would think would be A. 1 + -1= 0
Step-by-step explanation:
what is 5 divided by 38