Answer:
Sandy will receive $800
Steve will receive $600
Step-by-step explanation:
Sandy : Steve = 4 : 3
Sandy = 4
Steve = 3
Total ratio = 4 + 3 = 7
Total prize money = $1400
How much does Sandy receive ?
Sandy's share = Sandy's ratio / total ratio × Total prize money
= 4 / 7 × 1400
= 4 × 200
= $800
Sandy will receive $800 out of $1400
Steve's share = Steve's ratio / total ratio × Total prize money
= 3 / 7 × $1400
= 3 × $200
= $600
Steve will receive $600 out of $1400
Check:
Sandy's share + Steve's share
= $800 + $600
= $1400
Find the area of the triangle with vertices: Q(4,4,-1), R(5,7,-2), S(3,2,-4).
Answer:
The area of the triangle is 5.875 square units.
Step-by-step explanation:
First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:
[tex]a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}[/tex]
[tex]a \approx 3.317[/tex]
[tex]b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}[/tex]
[tex]b \approx 5.745[/tex]
[tex]c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}[/tex]
[tex]c \approx 3.742[/tex]
Now, we can use the following formula to fid the area of the triangle ([tex]A[/tex]), measured in square units:
[tex]A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}[/tex]
Where:
[tex]s[/tex] - Semiperimeter of the triangle, dimensionless.
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Sides of the triangle, dimensionless.
The semiperimeter can be determined by this:
[tex]s = \frac{a+b+c}{2}[/tex]
If we know that [tex]a \approx 3.317[/tex], [tex]b \approx 5.745[/tex] and [tex]c \approx 3.742[/tex], the area of the triangle is:
[tex]s = \frac{3.317+5.745+3.742}{2}[/tex]
[tex]s = 6.402[/tex]
[tex]A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}[/tex]
[tex]A \approx 5.875[/tex]
The area of the triangle is 5.875 square units.
Why is it important to have all parts of a graph clearly labeled and drawn
Answer:
A graph has to be clearly labelled and drawn for clarity and to aid the correct interpretation of the data shown on the graph.
How many quarts of pure antifreeze must be added to 2 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution
Answer:
x: 1/4=0.25 quarts of 100% antifreeze
Hope this helps
a parent volunteer group is raising money by making custom hats to sell at school activities.they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
use n to represent the number of hats they sell. multiply this money by the money for each hat, then subtract that form the advertising cost.
which expression represents the money that the group raised
Answer:
Money raised($)= 6n-50
Step-by-step explanation:
they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
If their are no number of hats
Cost = 50+4n
Money gotten from the n number of hats= 10(n)
If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost
Money raised = money from sales- cost
Money raised= 10n -4n-50
Money raised($)= 6n-50
The answer is (10-4)n-50
You subtract the amount of money used to make the hat from the price they are selling the hats. You then multiply that by the number of hats they sold. Then you subtract that from the amount of money spent on advertisement. Therefore the answer is (10 - 4) n - 50
what is y=80.9x-1011.86 in standard form?
Answer:
50593
Step-by-step explanation:
mike, dave and john worked for a total of 56 hours. Dave worked 6 more than 4 times as many hours as mike. John worked 6 less than 3 times as many hours as Mike. How long did Dave work?
Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
What the of x is in 3x+5=12
Answer: 2.333
Step-by-step explanation:
Subtract 5 from both sides of equation
Divide each side of equation by 3
Multiply 60 x 0.75. Please help me.
The answer to 60 x 0.75 is 45
Answer:
45
Step-by-step explanation:
Multiply
0.75 x 60
Solve for x
y=7(x+a)
help with a and describe
Answer:
1
Step-by-step explanation:
Simply plug in 0 for x:
g(0) = 5x + 1
g(0) = 5(0) + 1
g(0) = 1
Your school’s football team scored 49 points. Your team’s score was 19 points more than the opponent’s score s. Write and solve an equation to find the opponent’s score.
Answer:
30
Step-by-step explanation:
Well its pretty simple just take 19-49 unless its for something else all i knew was that its 19-49= 30
There are a total of 24
girls who are going to
camp. If 4 girls are
assigned to each cabin,
how many cabins will be
needed?
Answer: the answer is six cabins
Step-by-step explanation: if you divide 24 by 4 you end up with 6
Answer:
6 cabins will be required
Step-by-step explanation:
No. of girls=24
No. of girls in each cabin=4
No. of cabins=24/4=6
Write the equation 9y=12x+0.2 in standard form identify A B C
Answer:
60x-45y=-1
A = 60
B = -45
C =-1
Step-by-step explanation:
[tex]9y=12x+0.2\\Re-write\:0.2\:as\:1/5-12x =-9y+\frac{1}{5} \\\\Multiply\:all \:terms \:by\:-1\\-1(-12x=-9y+1/5)\\\\12x =9y-\frac{1}{5} \\\\Multiply\: through\: by \:5\\5(12x =9y - \frac{1}{5} )\\\\60x = 45y -1\\\\60x-45y =-1[/tex]
Se quiere diseñar la bandera de un colegio el cual debe tener 1 animal, 1 color de fondo y una palabra representativa. La cantidad de colores que se pueden escoger son 8, la cantidad de animales son 13 y la cantidad de palabras son 9, ¿cuántas banderas es posible diseñar?
Answer:
Es posible diseñar 936 banderas.
Step-by-step explanation:
Para poder determinar la cantidad de banderas que es posible diseñar utilizando 1 animal, 1 color de fondo y 1 palabra representativa de un total de 8 colores, 13 animales y 9 palabras, se debe multiplicar la cantidad total de variables, y su resultado será la cantidad de banderas que se podrán diseñar.
Así, deben multiplicarse 8 x 13 x 9, es decir, el total de colores, animales y palabras. Esta multiplicación da como resultado 936, con lo cual es posible diseñar 936 banderas diferentes.
What is the quotient of 8,595 ÷ 24?
a. 334 R 3
b. 334 R 7
c. 358 R 3
d. 358 R 7
help please! and fast.
Answer:
358.125
Step-by-step explanation:
Your welcome!
Stanley says, "If a point is not on a line, then the line and the point exist on exactly one plane." If the point IS on the line, how would his statement need to be changed? Thank you!
Answer:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
Step-by-step explanation:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
(4 - 7m) - (-n + 2m - 1) pls helppp
Step-by-step explanation:
4 - 7m + n - 2m + 1
5 + 5m + n
i think is complicated
What is 8.038×108 in standard form?
Answer:
The answer is: 803,800,000
Step-by-step explanation:
None
It was guessed, and I got it right.
16x^2-1=0
help algebra 2
Answer:
16x²=1
x²=1/16
x=√(1/16)
x=+- (1/4)
How to calculate this?
4^3÷(3/4)^3
Answer:
27
Step-by-step explanation:
4^3 is 4*4*4 which is 64
3/4^3 is 3/4*3/4*3/4 which is 27/64
then divide 64 ÷ 27/64
you can cross cancel 64 and get 27.
Clare has 8 fewer books than Mai. if mai has 26 books how many books does has Clara have?
Answer:
18
Step-by-step explanation:
The number of books with Clara is given by the equation C = 18 books
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of books with Clara be represented as C
Let the number of books with Mai be represented as M
And , Clara has 8 fewer books than Mai
So , the equation is
C = M - 8 be equation (1)
The number of books with Mai , M = 26 books
Now , when M = 26 books
On simplifying , we get
C = 26 - 8
C = 18 books
Therefore , the value of C is 18 books
Hence , the number of books with Clara is 18 books
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Which sources are reliable? Check all that apply. a National Oceanic and Atmospheric Administration article discussing Pacific bluetin tuna population numbers a high school student's blog discussing sources of biofuel an advertisement for a protein drink in Exercise magazine a study describing clinical trials of a new medication in the Journal or Medemal Chemistry an entry about the mating habits of snow leopards that can be edited by the general public
answer:a National Oceanic and Atmospheric Administration article discussing Pacific bluefin tuna population numbers
a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry
Step-by-step explanation:
i did it
The solution is: A.an article discussing mineral resources written by the United States Geological Survey, sources are reliable.
The correct answer will be options-A and C.
What is research?Research is a process of systematic inquiry that entails collection of data; documentation of critical information; and analysis and interpretation of that data/information, in accordance with suitable methodologies set by specific professional fields and academic disciplines.
Explanation:
The research on any question starts with a "review of literature study" which helps gain the knowledge related to the aspect of the hypothesis one is studying.
The sources reviewed by the researcher must follow certain criteria to be cited like:
1. The research should be done by any governmental organisation, research institutes and affiliated universities.
2. The research paper should posses results checked and verified by the peer fellows like by the peer-review of journals.
3. The research should not be edited any general magazines, advertisements and any other unauthorized organizations.
Thus, option-A and C are the correct answer.
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complete question;
Which sources are reliable? Check all that apply.
A.an article discussing mineral resources written by the United States Geological Survey
B.a blog discussing sources of alternate energy written by a high school student
an advertisement for guided hikes and tours in Camping magazine
C.a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry
D.an entry about common uses of metals in an encyclopedia that can be edited by the general public
Find the 10th term of a geometric sequence if a1=5 and the common ratio r=2
Answer:
The 10th term of the GP is 2560.
Step-by-step explanation:
It is given that,
The first term of the GP, a = 5
Common ratio, r = 2
We need to find the 10th term of the GP. The nth term of a GP is given by :
[tex]T_n=ar^{n-1}[/tex]
Put n = 10
[tex]T_{10}=5\times 2^{10-1}\\\\T_{10}=2560[/tex]
So, the 10th term of the GP is 2560.
What is the approximate value for 83 divided 5 ?
83 divided by 5 is 16.6 if you need to round that, the answer would be 17
The quotient of the equation when A = 83/5 = 16.6
Given data ,
Let the quotient of the expression be represented as A
Now , the value of A is
Let the first number be represented as p
Now , the value of p = 83
Let the second number be represented as q
Now , the value of q = 5
where A = p/q
On simplifying the equation , we get
A = 83 / 5
A = 16.6
Therefore , the quotient of the expression is A = 16.6
Hence , the expression is A = 16.6
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31.14
A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing
process. The table below displays the possible problems and frequency for each.
Frequency
4
2
Soap Problems
Underweight
Impurities
Broken bar
None
Total
3
91
100
If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
O They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would’ve many bars would they expect to be broken
expect 450 bars to be broken.
Save and Exit
Next
Submar
Mark this and
Answer:
B. 150 bars to be broken
Answer:
They would expect 150 bars to be broken.
Step-by-step explanation:
Correct on Edge2020
please help me please
Answer:
3
Step-by-step explanation:
it is 3 becasue it is the opposite of -3
939miles * 15gallons / 40miles = x
Answer: 281.7
Step-by-step explanation:
Help me with a ASAP plz and explain
(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11
In the 2009-2010 school year in country A, there were 115,000 foreign students from country B. This number is 22% more than the number of students from country C. How many foreign students were from country C?
Answer:
522727.27
Step-by-step explanation:
115000/0.22
The flagpole is 20 ft high and casts an 8 foot shadow, the oak tree casts a 12 foot shadow. How tall is the oak tree?
Answer:
30 FEET TALL
Step-by-step explanation:
Answer: 30 ft
Step-by-step explanation:
Set up a proportional equation to solve for how tall the oak tree will be.
[tex]\frac{20}{8} = \frac{x}{12}[/tex] cross product
8x = 240
x= 30