Answer:
There were 35 children and 38 adults at the pool that day.
Step-by-step explanation:
You can use substitution to solve this answer. When solving equations with substitution, ask yourself "how many?" and "how much?" to create two equations:
1.25c+2.25a=126.25 (this equation tells us the dollar value)
c+a=73. (this equation tells us quantity, or how many)
1. Solve for 1 variable and plug it into the other equation.
a=73-c -----> 1.25c+2.25(73-c)=126.25
2. Simplify the equation above.
1.25c+164.25-2.25c=126.25
3. Simplify even more:
-1c+164.25=126.25
4. Subtract 164.25 from both sides to get:
-1c=-38
5. Divide both sides by -1.
c=38 (this means that there are 38 children)
6. Plug the new value for c back into the equation c+a=73.
38+a=73
7. Subtract 38 from both sides to solve for a:
a=35 (this means that there are 35 adults)
I hope this helps!
DEF is a 90° clockwise rotation of ABC. Find the length of FD.
A
D
5x - 22
F
B
3x + 18
Answer:
Step-by-step explanation:
54
Six is less than or equal to the sum of a number and 3 1/4
Answer:
x ≥ 2 3/4
Step-by-step explanation:
6 ≤ x + 3 1/4
6 - 3 1/4 ≤ x
2 3/4 ≤ x
x ≥ 2 3/4
The solution to that equation or inequality will be; x ≥ 2 3/4
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
WE have been given that Six is less than or equal to the sum of a number and 3 1/4;
Therefore, the inequality will be;
6 ≤ x + 3 1/4
6 - 3 1/4 ≤ x
2 3/4 ≤ x
x ≥ 2 3/4
Hence, The solution to that equation or inequality will be; x ≥ 2 3/4
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Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and then secure the other end of the rope to the ground. The flagpole is 8 feet high. How far out on the ground does he need to secure the rope from the flagpole so that the rope is tight?
Answer:
6 feetStep-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
PLEASE HELP (80 points!!)
What if the following are equivalent to x^2/5 (more than once answer)
Answer:
[tex]\sqrt[5]{x^2}[/tex] and [tex](\sqrt[5]{x} )^2[/tex]
Step-by-step explanation:
They are both correct.
Answer:
A, and B
Step-by-step explanation:
The reason why is because, 2 is still on x. Therefore, while 5 represents the division it stays up in the top left corner.
Roger's gym class is running a relay race. Each team of 4 students runs a total of 1.6 kilometers. If every student runs the same distance, how many meters does Roger run?
(Remember you need to multiply and divide)
Answerapples
Step-by-step explanation:
Answer:
400 meters
Step-by-step explanation:
Can someone help me pls
Answer: 39.4784
Step-by-step explanation:
The equation for area of a circle is (3.14)r^2.
Just plug in the given radius (4) into the equation and solve.
Rewrite the equation in slope-intercept form:
10x + 5y = - 15
The equation in slope-intercept form is y = - 2x - 3.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient or slope, and
y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Now the given equation is,
10x + 5y = - 15
Dividing the equation by 5 we get,
2x + y = - 3
Subtracting 2x both the side we get,
2x + y - 2x = - 3 - 2x
⇒ y = - 3 - 2x
or, y = - 2x - 3
This is the required slope-intercept form.
where -2 is the slope and -3 is the intercept.
Thus, the equation in slope-intercept form is y = - 2x - 3.
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24% of what number is 18
Answer:
75 is the answer to your question
Answer:
i believe its 75 my guy
roblem 1.12: calculate the average volume per molecule for an ideal gas at room temperature and atmospheric pressure. then take the cube root to get an estimate of the average distance between molecules. how does this distance compare to the size of a molecule like { n } { 2 }n 2 or { h } { 2 }oh 2 o?
An ideal gas follows the ideal gas law stating PV = nRT. Obtain the average volume/mole by solving for V/n. Divide both sides by Avogadro’s constant Na. Multiplying n and Na gives the number of molecules N. V/N is the average volume/molecule. 250C is the room temperature = 298.15K. The atmospheric pressure is 101325 Pa or 1 atm. Each molecule in a gas is spaced evenly and placed in a lattice. To obtain the space taken up by a cube, find the cube root of V/N to obtain the average intermolecular distance. For small molecules such as N2 or H2, the angstroms order is 10^(-10) m. The intermolecular distance is about 10 times the small molecules.
P V = nRT
V⁄n=RT⁄P
V⁄(nNa )=RT⁄(PNa )
V⁄N=((8.314 J/(mol.K))(298.15K))/((101325Pa)(6.02×10^23 molecules/mol))≈4.06×10^23 m^3/molecule
∛(V/N)≈3.44×10^(-9) m = 3.44 nm
The intermolecular distance is about 10 times the small molecules.
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PLEASE HELP !!!!!! WILL MARK THE BRAINLIEST
Answer:
c
hope its right :)
good luck!
pls pls help, brainiest guaranteed
Yolanda's final exam has true/false questions, worth 4 points each, and multiple choice questions, worth 5 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct.
She needs more than 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
Answer:
i think its
4× + 5y > = 85
Step-by-step explanation:
i hope im right or even close i tryed i should be right tho HAVE A NICE DAY!!
Pleaseeeeeeee help me 7th grade math
Answer: -34
Step-by-step explanation:
first step: subtract 22 from both sides
+n=-12-22
n=-34
Answer:
-34
Step-by-step explanation:
Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.
I Just want to make sure this is correct..
Answer:
Yes that is the right answer
Answer:
no, because each output has an input of one
Step-by-step explanation:
hope this helps...
A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x
Answer:
x=24
Step-by-step explanation:
again 180-156=24
super easy remember exterior +interior angles add up to 180
Brainliest please
First angle = 105
Second angle = x
Third angle = 156 - 105
= 51
_________________________________________
Three angles of the triangle:
[tex]105[/tex]
[tex]x[/tex]
[tex]51[/tex]
___________________________________________
Angle sum of triangle = 180°
[tex]105 + 51 + x = 180[/tex]
[tex]156 + x = 180[/tex]
[tex]x = 180 - 156[/tex]
[tex]x = 24[/tex]
Help please, I will give brain list
A student was given two data sets, Set A and Set B. Which of the following statements is true?
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
brianna’s cars traveled 106 miles on 3/6 of a tank of gas how far will she be able to go on a full tank of gas ?
Answer:
212
Step-by-step explanation:
106•2
Answer:
212miles
Step-by-step explanation:
3/6 =1/2 of a tank of gas
1/2+1/2=1 tank of gas
106+106=212miles
If you get this correct I will give... brainlest 5 stars and a thanked do it as soon as possible to get the rewards quicker!
Answer:
Growth It's increased by 31%
Step-by-step explanation:
Hope this helps :D
Helpppppp meeeee .......
Answer:
.......
B is the answer ......
Which option is the simplified version
Answer:
its the 2 option......................
convert the following decimal to a percentege!!!!!! brainlest too
0.0861=
0.6129=
0.1486=
0.20=
Answer:
8.61%
61.29%
14.86%
20%
Step-by-step explanation:
i need help please: if
Answer:
If what??? can you please finish the question in the reply?
Answer please. Correct answer
Answer:Graph A if I’m incorrect sorry
Step-by-step explanation:
how to find slope of line in points given
3,4 and 4,6
Answer:
2
Step-by-step explanation:
The difference between the x points is 1.
The difference between the y points is 2
The slope is rise over run so the slope of this line is 2/1 which is the same as 2.
Match each problem to its solution. 8 8.2 9 56.25 Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn? arrowRight Jessica purchased items worth $41.23 at the local grocery store. The cashier made a mistake while ringing up her items, and Jessica ended up paying $50.23. How many extra dollars did she pay? arrowRight Josie has 20 meters of cloth. She needs to make long-sleeved blouses with that cloth. If one long-sleeved blouse requires 2.5 meters of cloth, how many blouses can she make with the material? arrowRight Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh? arrowRight
Answer:
[tex]\$56.25[/tex]
[tex]\$9[/tex]
8
[tex]8.2\ \text{pounds}[/tex]
Step-by-step explanation:
Jonah earns $12.50 per hour
He works for 4.5 hours
Amount he earned
[tex]12.5\times 4.5=\$56.25[/tex]
Amount Jonah earned is [tex]\$56.25[/tex].
Items worth is $41.23
Amount paid is $50.23
Extra amount paid
[tex]50.23-41.23=\$9[/tex]
Jessica paid [tex]\$9[/tex] extra.
Length of cloth available is 20 m
Length of one long-sleeved blouse is 2.5 m
Number of blouses that can be made
[tex]\dfrac{20}{2.5}=8[/tex]
Number of blouses that can be made from the material is 8.
Potatoes weight is 3.2 pounds
Oranges weight is 2.3 pounds
Onions weight is 2.7 pounds
Total weight of the purchase
[tex]3.2+2.3+2.7=8.2\ \text{pounds}[/tex]
The weight of the purache is [tex]8.2\ \text{pounds}[/tex].
Answer:
Jonah - 56.25
Jessica - 9
Josie - 8
Jeremy - 8.2
Step-by-step explanation:
I got this answer correct on my test for edmentum
Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below
Answer:
attach photo of coordinate plane
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or 1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
how many solutions does the following equation have?
4(2x+3)-7=8x+5
a- infinite
b- no solution
c- one solution
If using the method of completing the square to solve the quadratic equation
x2 + 11x + 30 = 0, which number would have to be added to "complete the
square"?
Answer:
The number to add is (11/2)^2 = 121/4
Step-by-step explanation:
Here, we want to know the number that will complete the square
We rewrite the equation as follows;
x^2 + 11x = -30
x^2 + 11x + (11/2)^2 = -30 + (11/2)^2
x^2 + 11x + 121/4 = -30 + 121/4
Answer one of them please thank you
The value of (M∪C)∩ V is { 3, 6 }
What are sets?Sets are defined as a collection of well-defined elements, numbers or objects.
It is important to note that;
Intersection of sets is denoted with the symbol '∩' and contains elements common to two or more setsUnion of sets is denoted with the symbol '∪' and contains all the elements of two or more sets without repetition14.
M = { 2. 3 , 4 , 5}
C = { 4, 6 , 8 , 10}
V = { 3, 5 , 7 , 9}
M∪ C = { 2, 3, 4 , 5 , 6 , 8 , 10}
(M∪C)∩ V = { 3, 6 }
Thus, the value of (M∪C)∩ V is { 3, 6 }
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Write y=−4x−3 in standard form . ( I'LL MARK BRAINLIEST)
Answer:
4 x + y = − 3
Step-by-step explanation: