Answer:
[tex]Adam = 60[/tex]
[tex]Brandon = 66[/tex]
[tex]Chen = 74[/tex]
[tex]Damion = 75[/tex]
[tex]Erica = 75[/tex]
Step-by-step explanation:
Given
Represent each friend with the first letter of their name
So:
[tex]A + B + C =200[/tex]
[tex]B + C + D = 215[/tex]
[tex]C + D +E= 224[/tex]
[tex]A + B + C + D + E = 350[/tex]
[tex]D , E > C[/tex]
Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]
[tex]200 + D + E = 350[/tex]
Collect like terms
[tex]D + E = 350-200[/tex]
[tex]D + E = 150[/tex]
Make D + E the subject in [tex]C + D +E= 224[/tex]
[tex]D + E = 224 - C[/tex]
Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]
[tex]224 - C = 150[/tex]
Collect like terms
[tex]C = 224 - 150[/tex]
[tex]C = 74[/tex]
Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]
[tex]A + B + 74 = 200[/tex]
[tex]A + B =- 74 + 200[/tex]
[tex]A + B =126[/tex]
[tex]B + 74 + D = 215[/tex]
[tex]B + D = -74 + 215[/tex]
[tex]B + D = 141[/tex]
So, we have:
[tex]A + B =126[/tex]
[tex]B + D = 141[/tex]
[tex]D + E = 150[/tex]
We have: [tex]D , E > C[/tex]
i.e.
[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]
For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,
[tex]D = E = 75[/tex]
i.e.
[tex]75 + 75 = 150[/tex]
So, we have:
[tex]D = 75[/tex]
[tex]E = 75[/tex]
Solve for B
[tex]B + D = 141[/tex]
[tex]B + 75 = 141[/tex]
[tex]B = 141 - 75[/tex]
[tex]B = 66[/tex]
Solve for A
[tex]A + B =126[/tex]
[tex]A + 66 = 126[/tex]
[tex]A = 126 - 66[/tex]
[tex]A = 60[/tex]
Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im running low on points!! :')
Answer:
[tex]56.52 {in}^{3} [/tex]Step-by-step explanation:
Given,
Diameter of the bowl = 6 in
Radius of the bowl = 6 ÷ 2 = 3 in.
Height of the bowl = 2 in.
Therefore,
Volume of the bowl to hold water ,
[tex] = \pi {r}^{2} h[/tex]
[tex] = 3.14 \times 3in \times 3in \times 2in[/tex]
[tex] = 56.52 {in}^{3} (ans)[/tex]
PLEASE HELP I DONT KNOW
Answer:
28π is the circumference
Step-by-step explanation:
Pls I need help I’m begging u pls I need help
Answer:
Step-by-step explanation:
Triangle area adds up to 180.
65 + 65 + 50 = 180
x=65
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Alok conducted a survey and
found that about 60% of his
classmates have a pet. If
there are 300 students at the
school, how many would he
expect to have a pet?
Cindy runs 13 blocks to the park and 13 blocks back home every day. If she does this 4 days, how many blocks will she run?
Answer:
I believe the answer is 104
Step-by-step explanation:
13+13=26 thats 1 day so 26×4=104
Name the coeficient in
the expression below.
-10x + 8
What is the least common multiple of 2, 6, and 12?
Answer:
The LCM of 2,6,12 2 , 6 , 12 is 2⋅2⋅3=12 2 ⋅ 2 ⋅ 3 = 12 .
Step-by-step explanation:
2 + 2 = ?
please help!
Answer:
4
Hope that this helps!
what is the square route of 6,897?
Answer: 11 square root 57
Step-by-step explanation:
Answer:
The Square root of 6,897 is 83.04 the alternate form is 11√57
P.S If you feel this answer is satisfactory would you mark it brainiest.
the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth
Answer:
Step-by-step explanation:
ratio of length to breadth=4:3
let breadth be x m
4/3=12/x(do cross multiplication)
3*12=x*4
36=4x
36/4=x
9=x
therefore breadth= 6m
PLEASE ANSWER THIS ASAP IM ALWAYS SO GRATEFULL!!
Answer:
P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12
Step-by-step explanation:
Can y’all help me with this and if u don’t know don’t answer
Answer:
D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2
D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2
D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3
Step-by-step explanation:
Let me just make sure.
Find the surface area of the rectangular prism. Use your purple formula sheet.
Answer:
328 square cm
Step-by-step explanation:
Just search up "calculate the area of a rectangular prism"
and use the online calculator.
Note:
Pls brainliest(if possible)
Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
How many additional books does Tony get each month?
Answer:
3 books
Step-by-step explanation:
Answer:
3 books
Step-by-step explanation:
On the first 1st month Tony gets 11 book but on the second month Tony gets 14
14 books - 11 books = 3 books
There is a pattern of 3 new books each month.
(1 month = 3 new books)
Tony gets 3 additional books every/each month.
A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.
Answer:
4.42
Step-by-step explanation:
5.2 x 10-3 multiplied by 850. I got it right on my assignment
The mass of the 850 nails is 442 x 10⁻² kilograms.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A carpenter bought 850 nails.
Each nail has a mass of 5.2 x 10-3 kg.
To find the total mass:
Use multiplication operation,
850 x 5.2 x 10⁻³
= 4420 x 10⁻³
= 442 x 10⁻²
Therefore, the mass is 442 x 10⁻² kilograms.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ2
A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer:
.070
Step-by-step explanation:
Answer:
0.94
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
Help I need this A.S.A.P if you get it right I will mark you as brainless
Drag your number to complete the following measures of the data shown in the data box plot down below.
1, 3, 8, 12, 15, 16
Answer:
Minimum: 1
Maximum: 16
Median: 8
First Quartile: 3
Third Quartile: 15
Interquartile range: 12
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!
Answer:
I think it's 18
Step-by-step explanation:
because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5
then I divided the 27 by 1.5 to get the area of the small one which was 18.
A different triangle is graphed on the coordinate plane. Two of its vertices are located at (−10,3) and (0,−20) . The third vertex is located at (2,y) , where y is a positive value. The area of the triangle is 158 square units.
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, determine the value of y .
PLEASE I NEED HELP I'M NOT REALLY GOOD WITH MATH
Answer:
Step-by-step explanation:
sorry i tried my best i think its like a 30
Adrian bought a concert ticket online for $41. He used a coupon code to get a
30% discount. The website also applied a 10% processing fee to the price after
the discount. How much did Adrian pay, in the end? Round to the nearest cent.
Answer:
32.8
Step-by-step explanation:
32.8 I did this on a calculator
What is the area of this square?
A= 12
B= 48
C= 72
D= 144
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
========================================================
Explanation:
A square has all four sides that are the same length. So all four sides are 12 cm
area = side*side = 12*12 = 144 cm^2
Or you could say
area = (side)^2 = (12)^2 = 144 cm^2
Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.
---------
Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.
B
If you do 4x12 you will end up with 48
Cheetahs have been clocked at a top speed of approximately 102.6 ft/s. Gazelles are a main
part of a cheetah's diet. Gazelles have been clocked at a top speed of approximately 73.3 ft/s.
Suppose a cheetah sees a gazelle across the plains of Africa, 500 feet away, and begins to
run after it. The gazelle spots the cheetah and begins running at the same time the cheetah
does.
Determine how many seconds later the cheetah catches the gazelle. How many feet did the
cheetah have to run to catch the gazelle? Round to the nearest tenth of a foot. Show all your work.
DO NOT PUT ANY LINKS TO A FILE OR ANYTHING LIKE THAT. Help ASAP pls.
9514 1404 393
Answer:
17.1 seconds1750.9 feetStep-by-step explanation:
The distance from the cheetah's starting point (in feet) can be modeled by ...
for the cheetah
c = 102.6t
for the gazelle
g = 73.3t +500
When these are equal, the cheetah will have caught the gazelle:
c = g
102.6t = 73.3t +500
29.3t = 500
t = 500/29.3 ≈ 17.1 . . . . . . seconds
The distance at that time is ...
c = 102.6(17.0648) ≈ 1750.9 . . . . feet
_____
Additional comment
The cheetah can maintain top speed only for about 10 seconds. At 500 ft distance, the gazelle is pretty safe.
Can you help me with Math
Answer:
42+106=x
148=x
Step-by-step explanation:
On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?
Answer:
4 to 1
Step-by-step explanation:
The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.
A dog is fed 3 1/2 cups of food. A puppy is fed 3/5 of that. How much is the puppy fed?
Answer:
9 puppies can be fed.Step-by-step explanation:
Given that:
A dog is fed 312 cups of food. A puppy is fed 35 of that.To Find:
How much is the puppy fed?Let us assume:
x puppies can be fed.Finding the number of puppy:
Puppy : Food = Puppy : Food
⟶ 35 : 1 = 312 : x
⟶ 35/1 = 312/x
Cross multiplication.
⟶ 35x = 312
⟶ x = 312/35
⟶ x = 9 (approx.)
Hence,
9 puppies can be fed.I need the answer fast Pls HELP choose one then more chosises so you need to choose more chosies
Answer:
c
Step-by-step explanation:
there
If 2 people have $720 between them and one has $106 more than the other. How much do they each have?
Answer:
$720 divided by 2 = $360
$360-106=$254
$360+106=$466
$254+$466=$720
Person 1 has $254
Person 2 has $466
Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds
Answer:
B
Step-by-step explanation:
i know this already from another
Write an equation that represents a parallel line to y=1/2x + 4
Answer:
1/2
Step-by-step explanation: