Answer:
If the prism length is L, trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.
Step-by-step explanation:
Tom works at the coffee shop where he makes $15 per hour. He also works part time at the library where he makes $12 per hour. Last week Tom worked 17 total hours and made $222. How many hours did he work at the coffee shop and library?
Answer:
6
Step-by-step explanation:
Your favorite video game just went on sale for 33% off.
The original price is $60.00. How much will game be the
after the discount?
Answer:
$40.20
Step-by-step explanation:
60 / 100 = 0.6
0.6 x 33 = 29.8
60 - 29.8 = 40.2
Thus he price after the discount would be $40.20
Two numbers have a difference of 13. The sum of twice one number and 3 times the other number is 1. Write a system of equations and solve the system to find the two numbers. You need not show 7 steps for this problem. Just show the system, solve the system, and write the two numbers.
Answer:
first number = 8
second number = -5
Step-by-step explanation:
Let
x = first number
y = second number
Two numbers have a difference of 13.
x - y = 13
The sum of twice one number and 3 times the other number is 1
2x + 3y = 1
x - y = 13 (1)
2x + 3y = 1. (2)
From (1)
x = 13 + y
Substitute into (2)
2x + 3y = 1.
2(13 + y) + 3y = 1
26 + 2y + 3y = 1
26 + 5y = 1
5y = 1 - 26
5y = -25
y = -25/5
y = -5
Substitute y = -5 into (1)
x - y = 13
x - (-5) = 13
x + 5 = 13
x = 13 - 5
x = 8
The obtained number is 12. And the system of equations is 2c + 4p = 40
How to solve system of equations ?Although each chicken has two legs and each pig has four legs, the total number of animal legs is:
2c + 4p = 40
Once we simplify the above equation, we get
c + 2p = 20
We also know that there are 16 animal heads in total, which can be expressed as:
c + p = 16
We can solve for "c" that use these two equations.
Once we multiply the second equation by 2, we get:
2c + 2p = 32
Once we subtract this equation from that, we get:
2p = 8
Once we solve for "p," we get:
p = 4
Substituting this "p" value into the second equation yields:
c + 4 = 16
Once we solve for "c," we get:
c = 12
As an outcome, your parents hold 12 chickens.
To know more about Substituting visit :-
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7. Where do the altitudes of ATUV meet?
70.6)
3
O
M-B-2)
U2)
A (0, 2)
B (0, 1.5)
C (0,1)
D (1.5, 1)
The sum of four consecutive integers is -26. What are the integers?
Answer:
-5, -6, -7, -8
Step-by-step explanation:
just use a calculator
5 m
19 m
5 m
4 m
3 m
Find the surface area of the figure above.
I think the answer is 5700.
because of you multiply the numbers together you'll get the answer.
hope it helps.
have a great day.
please help, I don't understand this
After substitution in the first equation :
7x + x +21 = -19
= 8x + 21 = -19
by subtracting 21 :
8x = -19 - 21
8x = -40
by dividing over 8 :
x = -5
after substitution in the second equation :
2y = -5 + 21
2y = 16
by dividing over 2 :
y = 8
pls give me brainliest
IF YOU ANSWER THIS RIGHT NOW ILL GIVE YOU 64 POINTS
Answer:
x = 17Step-by-step explanation:
Similar triangles have congruent corresponding anglesGiven
ΔFEG ~ΔPJSm∠P = (5x - 14)°, m∠S = 25°, m∠E = 84°Corresponding angle pairs:
∠F ≅ ∠P, ∠E ≅ ∠J, ∠G ≅ ∠SSum of internal angles of a triangle is 180°, substitute and solve for x:
m∠P + m∠J + m∠S = 180°m∠P + m∠E + m∠S = 180°(5x - 14)° + 84° + 25° = 180°5x = 180° - 95°5x = 85°x = 85°/5x = 17Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f g)(x) and express
the result in standard form.
Classify the polynomial by term and degree
4x - 9x2 + 2x3 + 15
Answer:
Cubic Polynomial
Step-by-step explanation:
The degree is the highest exponent in the equation. (So, 3.)
This makes it cubic.
Anything above three terms is just considered a polynomial.
Hence, Cubic Polynomial.
A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is the best
prediction of the total number of students who prefer chocolate milk?
Answer:
Around 401 students would prefer chocolate milk.
Step-by-step explanation:
500/30=16.66667...
24*16.7=400.8
you cant have an eighth of a vote so you round to 401
42.Anna pours herself some room-temperature soda from a bottle and adds four ice cubes. In a few minutes the ice cubes are smaller and the soda is much colder. Which of the following best explains the change in temperature of the soda?
A. Heat flowed from the soda to the ice cube and caused it to partially melt.
B. Coldness flowed from the ice cube to the soda, making the soda cooler.
C. The cold water from the melting ice went into the soda, replacing the warmer water that was in the soda
D. The water from the melting ice makes the soda more dilute, and the lower concentration makes the temperature lower.
and send me link for explenation
Answer:
Option A
Step-by-step explanation:
According to the second law of thermodynamics, heat always flows from hot to cold places, unless work is done on the system. In this case the ice is colder than room temperature, and therefore the heat flows from the soda to the ice cube. The ice cube absorbs the heat, and partially melts.
HELP WILL MARK BRAINLIEST PLSS
John walks in the bearing of 75° and stops when he is 12 km North of his starting point.
How far did John walk?
Answer:
It number 1 trust me pls se
Step-by-step explanation:
Im confused on this.....
The mystery number is a three-digit number. Its digits are 2, 8, and 3. • The 3 and the 8 are not next to each other • The 2 comes before 3. What is the mystery number?
Answer:
The mystery number is 823
Hope this helps.
Sally said that the fraction strip reminded her of rules and that you could use fraction strips to measure the progress on the fundraising thermometers what do you think
i need help with my math homework can someone help
Answer:
okay
Step-by-step explanation:
please help with this!!!!!!
Answer:
3,-2 (dark blue)
Step-by-step explanation:
plug the answer back into x:
(3-3)(-2+2)=0
(0)(0)=0
The solution satisfies the equation!
PLEASE HELP ME GUYS ITS URGENT!!!!
Answer: c
Step-by-step explanation:
The answer is c because it is equal to 1024
Answer:
C. [tex]4^{5}[/tex]
Step-by-step explanation:
Which right triangle's unknown leg measure is 43 units? Assume the given length are in the same unit of measure.
60
12
\/44
8
5
90
|/21
19
) Intro
Done
Answer: the fourth triangle
Step-by-step explanation:
I got it right :)
Answer:
The 4th triangle
Step-by-step explanation:
Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)
Answer:
[tex]\%Percent = 30 \%[/tex]
Step-by-step explanation:
Given
[tex]Shaded = 6\ cubes[/tex]
[tex]Box = 5\ x\ 4[/tex]
Required
Determine the percentage of the shaded cubes
First, we calculate the number of boxes:
[tex]Box = 5\ x\ 4[/tex]
Express as multiplication
[tex]Box = 5\ *\ 4[/tex]
[tex]Box = 20[/tex]
This implies that there are 20 cubes in the box.
The percentage of the shaded cubes is:
[tex]\%Percent = \frac{Shaded}{Box} * 100\%[/tex]
[tex]\%Percent = \frac{6}{20} * 100\%[/tex]
[tex]\%Percent = \frac{6* 100}{20} \%[/tex]
[tex]\%Percent = \frac{600}{20} \%[/tex]
[tex]\%Percent = 30 \%[/tex]
30% were shaded
Picture attached on the file
Answer:
89/3
Stp/lanation:
Erica babysits for 4 hours and is paid $33
a. How much does she make per hour?!
b. How much does she make for 6 hours?
(Write money correctly. For example: 6.70 or 0.49)
per hour
Answer: a: 8.25 b: 49.5
Step-by-step explanation:
Find the value of x
Answer:
The value of x is 72 degrees
Step-by-step explanation:
8. Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept
form, simplifying all fractions.
6x + 15y = -15
Answer:
-2/5-1
Step-by-step explanation:
6x+15y=(-15)
subtract both sides by (-6x)
now the equations becomes: 15y=(-6x)-15
divide both sides by 15, since -6 cannot evenly we just leave it as a fraction
Equation becomes y= -6/15x-1
Then simplify it down to y= -2/5x-1
The students in Jeanette's grade voted to select a guest speaker. 50% of the students voted for a famous athlete. If there are 22 students in Jeanette's grade, how many students voted for the athlete?
IF I HAVE 10 CHOCOLATE CAKES AND YOU TAKE THREE HOW MANY WOULD I HAVE LEFT?
A.)7
B.)10 AND A DEAD BODY
C.)10
D.)I ATE THEM ALL (THEN GOT SICK)
I NEED THE ANSWER NOWWW ASAP
Answer: 10 AND A DEAD BODY DUDE ITS SO OBVIOUS
Step-by-step explanation: it’s 7 pls don’t report
EASY MATH PLS HELP !!!
Answer:
1. 52
2. 86
3. 55
Answer:
if its so easy, why cant you do it?
Step-by-step explanation:
but either way its
52
86
55
Several people are trapped in a hollow. 10 of them are named Chris, 23 are named
Ali, and 57 are named Tejas. Approximately, what percent of the people in the hollow are named Chris?
Answer:
lets figure out how many in total
10 + 23 + 57 = 90
10/90
11%
Step-by-step explanation:
Helpppp pleaseeeeeeeeeeeeeeeeeeeee it's due at 12:00 odjsoisjsis please see helppp, with explanation pleaseee
PLS HELP ME ON THIS!!
Answer:
Step-by-step explanation:
DC = AD
DC = 8.5
By the Parallelogram opposite sides theorem