Answer: 51 Children and 36 Adults.
Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.
We know that x+z= 87
We also know that 3.25x+3.5z= 291.75.
We want to find the value of x and z. Then we solve the system of equations:
Multiply the first equation by -3.5 and add it to the second equation:
-3.5x-3.5z= -304.5
3.25x+3.5z= 291.75
-----------------------------------------------------------------------------------------------------------------
-0.25x=-12.75
x= -42.75 ÷ -0.25
x=51
----------------------------------------------------------------------------------------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
51+z=87
z=87-51
z= 36
Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.
Steffan cycled 10km in 45 minutes. He rested for
20 minutes then cycled a further 8 km in 40 minutes.
Work out his average speed for the whole journey.M
Give your answer correct to one decimal place.
Math
Answer: If you measure out a 10k course and then time how long it takes you to ride it, that will tell you which speed range to use and what time to input. If you weigh 185 pounds and fall into the 12 to 13 mph range, it will take you about 30 minutes to pedal 10k — which means that according to the ACE estimates, you will burn about 335 calories.
Step-by-step explanation:
Hope this helps!
Answer:
0.2km/min or 12.7km/hour
Step-by-step explanation:
speed = distance ÷ time
speed = (10km + 8km) ÷ (45 mins + 40 mins)
= 18 ÷ 85
= 0.21176...km/min ≈ 0.2km/min
To convert 0.21176...km/min into km/hr, you multiply by 60
0.21176...km/min × 60 = 12.70588...km/hr ≈ 12.7km/hr
what is the product of the roots of quadratic equation?
Product of the roots = c/a = c
Hope this helped you- have a good day bro cya)
Record the following data in the circle graph 25% of the people like science the best ,half of the people like math the best, 25% of the people like reading the best.
Answer:
ok so it would be square root 2
Step-by-step explanation:
By which rule are these triangles congruent?
AAS
ASA
SAS
SSS
SSS
Two pairs of sides have already been marked congurent. The third side is shared by the two triangles, so it must be congruent with itself.
You have three congruent sides: SSS
Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.
The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².
Since we require I, making I subject of the formula, we have
dB/10 = log₁₀(I/I₀)
[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]
Substituting the values of the variables into the equation, we have
[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]
I = 3981.072W/m²
I = 3.981 × 10³ W/m²
So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Learn more about intensity of sound here:
https://brainly.com/question/4431819
add 4 1/2 + 1 2/5 pls help me its telling me to add extra words srryt
Answer:
5 9/10
Step-by-step
Have the fraction with common denominators: 5/10 and 4/10
The graph of y = f (x) is given in the figure. Sketch = 1/2 ( + 2) − 2.
Answer:
y=1/2+2
Step-by-step explanation:
Solve.
−0.4x−3.1=5.9
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5
Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:
−0.4x − 3.1 = 5.9
Add 3.1 to both sides−0.4x − 3.1 + 3.1 = 5.9 + 3.1
-0.4x = 9
Divide both sides by -0.4-0.4x/-0.4 = 9/-0.4
x = -22.5
Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5
Learn more here:
https://brainly.com/question/16864747
EMERGENCY!!! WILL GIVE THE BRAINLIEST TO THE FIRST ONE RIGHT + 30 PTS!!!
Use the maps below to answer the following question: First image. A map of North America showing the regions of Native American cultures. Second image. A political map of the United States, with all 50 states labeled. Washington, Oregon, and California are on the west coast. Moving east, from north to south, Montana, Idaho, Wyoming, Nevada, Utah, and Arizona are next seen. Then, North Dakota, South Dakota, Nebraska, Colorado, Kansas, Oklahoma, New Mexico, and Texas are seen, from north to south, in the central US. East of those states, from north to south, Minnesota, Iowa, Missouri, Arkansas, and Louisiana are seen. Wisconsin, Michigan, Illinois, Indiana, and Ohio in the Midwest, and Pennsylvania and New York in the northeast, border the Great Lakes. Kentucky, Tennessee, Mississippi, Alabama, Virginia, North Carolina, South Carolina, Georgia, and Florida are in the southeast, with Florida jutting out as a peninsula. Maryland, West Virginia, Delaware, and New Jersey are between the southeast and northeast states. Connecticut, Rhode Island, Massachusetts, New Hampshire, Vermont, and Maine are in the northeast. Alaska and Hawaii are seen as islands. Public Domain © Andrew c Creative Commons, Attribution-Share Alike 3.0 Unported Compare the maps. Which state listed below was located in the Southwest Native American cultural region? Alabama Illinois Michigan Arizona
The state that was located in the Southwest Native American cultural region is Arizona.
The state has the highest indigenous population in the USA and is home to the Navajo, Hopi and Apache. Arizona was part of New Mexico until its surrender to the United States in 1848. It was the scene of many wars against the native peoples, especially the Apache, from the 1850s to 1877. It did not become a state until as recently as 1912.
On February 28, 1859, the first Indian reservation, the Gila River Indian Reservation, was established for the Pima and Maricopa Indians in the Arizona Territory. On June 1, 1868, the United States' largest reservation, the Navajo Nation Reservation, was established by a treaty between the United States and the Navajo State.
Learn more in https://brainly.com/question/6326323
Answer:
Arizona
Step-by-step explanation:
got it right on the test :)
PLEASE HELP
WILL MARK BRAINLIEST
(don’t put links or i will report)
What type of correlation is shown within your data? Explain how you know.
Answer:
it looks like a positive correlation?
Step-by-step explanation:
I really don't know much but it looks like the y in increasing in a positive direction when the x is as well
the population in a town is 10,000. The population is growing at a rate of 0.08. what will the population be in 10 years
Hope this helps have a nice day!!!!
Whats the answer? ( Branliest )
Answer:
4
Step-by-step explanation:
4-0.25g +0.5h
We have,
g=10
h=5
Putting the values,
4-0.25g +0.5h= 4-0.25*10+0.5*5 =4 -2.5 +2.5 = 4
Answer:
4Step-by-step explanation:
[tex]4 - 0.25g + 0.5h \\ 4 - 0.25(10) + 0.5(5) \\ 4 - 2.5 + 2.5 \\ 4 \\ [/tex]
"The quotient of five less than a number and 6, is -4."
Answer:
The number is 20
Step-by-step explanation:
x represents the missing number
The equation would be:
[tex]\frac{x-5}{6} =-4[/tex]
Then isolate the variable and solve,
First multiply both sides by 6...
[tex]x-5=-25[/tex]
Add 5 to both sides.
x=20
how man1/3 are in 2 2/3
Answer:
that 8/3
Step-by-step explanation:
thats because it goes too 2 2/3
PLEASE HELP, WILL GIVE BRAINLIEST.
Arjun's goal for this week is to drink no more than 100 grams of sugar from all of his beverages combined. The first table shows Arjun's plan for this week. Try to make a DIFFERENT plan to get close to 100 grams of sugar without going over.
help me with this math question WILL GIVE BRAINLIEST
Step-by-step explanation:
all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.
the other thing is that the sum of all angles in a triangle is always 180 degrees.
so,
B = 180 - 90 - 20 = 70 degrees
Roxanne is using successive approximation to solve this equation.
She started from a graph, where she found the solution to be between and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Where did Roxanne make a mistake, and what was the error?
Answer:
B. Roxanne made a mistake at step 5. She should have used x - 1/2 as the new upper bound.
Step-by-step explanation:
Based on the successive approximation method, Roxanne made a mistake at step 5. She should have used x = -1/2 as the new upper bound.
What is successive approximation?In Science, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.
In this scenario, Roxanne started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that Roxanne made a mistake at step 5 because she should have used x = -1/2 as the new upper bound.
Read more on successive approximation here: https://brainly.com/question/9761975
A bus travels 324 km in 8 hours. How long will it take to travel 243 km ?
Answer:
Six hours
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
Use a ratio and cross multiply to solve for x
324 243
------ = -------
8 x
324x = (8)(243)
324x = 1944
x = 6
PLEASE HELP ME. HAVE TO BE DONE IN FRACTION
3/4 - 7/9 + 2/3 =
Answer:
23/36
Step-by-step explanation:
use BODMAS
fist add 3/4+2/3
to get 17/12
then subtract 17/12-7/9
to get 23/36
How many songs can Chet download for $1.00 using Get Tunes? If she downloaded 27 for $13.50
Answer:
2
Step-by-step explanation:
4.0plsss help, will give brianlist
Answer:
side HG would be proud of the side EF and parallelogram EFGH
answer I'll give brainliest to first one
10 points
Answer:
Have a splendiferous day...
Step-by-step explanation:
3÷12=¼
6÷10=⅗
7÷14=½
10÷11=⅚
2÷4=½
4÷16=¼
3÷24=⅛
18÷54=⅓
Answer:
1) 3÷12=[tex]\frac{1}{4}[/tex]
2) 6÷10=[tex]\frac{3}{5}[/tex]
3) 7÷14=[tex]\frac{1}{2}[/tex]
4) 10÷12=[tex]\frac{5}{6}[/tex]
5) 2÷4=[tex]\frac{1}{2}[/tex]
6) 4÷16=[tex]\frac{1}4[/tex]
7) 3÷24=[tex]\frac{1}{8}[/tex]
8) 18÷54=[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Hope this helps have a great day ahead! Have a great Halloween :) Tell me if im wrong please <3
[tex]77 \times 5 \: equal \: what \\ [/tex]
what is the answer
Answer:
385 is the result of multiply 77 by 5
Can you please help me with#11?I'm not sure how to find the answer.
Answer:
You need to find the x and y intercepts so...
The x intercept is (18,0) since x=18
The y intercept is (0,12) since y=12
Step-by-step explanation:
Cover the y when you are finding the y intercept
Cover the x when you are finding the x intercept
8x/8
144/8
=18
12y/12
144/112
=12
Which number is 10 times the value of the 4 in 283.47 ?
Answer:
No answer sorry.
Step-by-step explanation:
10 times 4 ten thousands = 40 ten thousands = 4 hundred thousands. Explain how you know this equation is true. 10 × 4 ten thousands = 40 ten thousands = 4 hundred thousands.
Answer:
Value of 4= 0.4
10 x 0.4 = 4
Step-by-step explanation:
How do you simplify 48/200
Answer:
6/25
Step-by-step explanation:
all you need to do is to look for common factors of both the numerator and the denominator and you keep on breaking it down
help please its hard
Answer:
11
Step-by-step explanation:
Rewrite expression using given information:
20 - 3a + 2b = 20 - 3*7 + 2*6
20 - 21 + 12 = 11
m
+ 4 = 7
Step One:
Step Two:
Step Three:
Step Four:
ma9
m/3+4+4+7+4
m/3-7
m=21
m/3+4-47-4
m/3*3+4=743
m/3-3
ma17
m/3+4-3=7-3
m/3*3=3*3
m/3+7=4
m=3
m/3+8=11
m/314-4=7
m+4=21
Answer:
see below
Step-by-step explanation:
m/3 + 4 = 7
Subtract 4 from each side
m/3+4-4 = 7-4
m/3 = 3
Multiply each side by 3
m/3*3 = 3*3
m =9
A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack, Queen, and King; the last three are considered face cards). A card is drawn at random from a standard 52-card deck. What is the probability that the card is not an Ace
Answer:
12/13
Step-by-step explanation:
P(card is not an Ace) =
(# of ways to not pick an ace) / (# of ways to pick a card from the deck) =
(52 - 4)/(52) =
48/52 =
12/13
Jake has a wooden board that measures 8.25 feet long. He cuts the board into pieces that each measure 0.75 foot so he can make signs. If Jake earns $15.95 for each sign he sells, how much money can he earn from the signs he makes with this board?
Step-by-step explanation:
Answer:
Jake cuts the board into pieces that measure .75 feet each. Before cutting the board, it is 8.25 feet long. So, we must divide 8.25/.75 to find out how many pieces of board jake cut.
8.25/.75= 11 pieces
Since he makes $15.95 per sign, and there are 11 signs, we must multiply 15.95 by 11. This is equal to 175.45.
Therefore, jake can earn $175.45
Step-by-step explanation:
Can you give me brainliest?