Answer:
125 boys, 90 girls and 20 adults
Step-by-step explanation:
Let the number of boys be x
Let the number of girls be y
Let the number of adults be z
If there are 235 people at the summer camp, then;
x + y+ z = 235 ..... 1
If there are 35 more boys than girls, then;
x = y + 35 .... 2
If there are 70 fewer adults than girls then;
y = z - 70
z = y - 70....3
Substitute 2 and 3 into 1;
x + y+ z = 235 ..
(y+35)+y+(y-70) =235
3y -35 = 235
3y = 270
3y/3 = 270/3
y = 90
Since x = y + 35
x = 90 + 35
x = 125
Also z = y - 70
z = 90+70
z = 20
There are 125 boys, 90 girls and 20 adults
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month, it will cost $5500. Also , to produce 370 jackets in a month , it will cost $8580 . Find an equation in the form y = mx + b , where is the number of jackets produced in a month and y is the monthly cost to do so.
Answer:
[tex]y = 14x + 3400[/tex]
Step-by-step explanation:
Represent
- number of jackets with x
- costs of jackets with y
So, we have:
[tex](x_1,y_1) = (150,5500)[/tex]
[tex](x_2,y_2) = (370,8580)[/tex]
Required
Write an equation in form of y = mx + b
First, we need to determine the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]
[tex]m = \frac{3080}{220}[/tex]
[tex]m = 14\\[/tex]
The equation is calculated using:
[tex]y-y_1 = m(x - x_1)[/tex]
Where
[tex]m = 14\\[/tex]
[tex](x_1,y_1) = (150,5500)[/tex]
So, we have:
[tex]y - 5500 = 14(x - 150)[/tex]
[tex]y - 5500 = 14x - 2100[/tex]
Make y the subject
[tex]y = 14x - 2100 + 5500[/tex]
[tex]y = 14x + 3400[/tex]
Mattie Evan's drove 100 miles in the same amount of time that it took a turbo turbopropeller plane to travel 500 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane.
Answer:250
Step-by-step explanation:Answer:
100/r=500/r+200=50
50+200 =250
What is this what is m
which expression is equivalent to mn+z
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
A turtle walks 12 feet in one hour. How many inches does the turtle walk in one hour?
Please help out with this worksheet please i would appreciate it
Answer:
1. slope: (y2-y1)/(x2-x1)
(6,38), (9,32)
(32-38)/(9-6) = -6/3 = -2
38 = -2(6) + b
38 = -12 +b, b = 50
y = -2x + 50
2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.
2b. use the equation: y = -80x + 600
Plug in 3 into the equation
y = -80(3) + 600, y = -240 + 600, y = 360 cars
2c. For it to have 0 cars, plug in 0 for y
0 = -80x + 600
-600 = -80x, solve for x
x = 7.5 hours
What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?
$180
Step-by-step explanation
(900 x 2 x 10) / 100
=18000 / 100 = 180
=$180
The interest need to pay is $180.
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
P = $900
R= 10%
T = 2 years
Using Simple Interest
SI = ( PRT)/100
SI = 900 x 10 x 2 /100
SI = 180
Hence, the interest is $180.
Learn more about Simple Interest here:
https://brainly.com/question/25845758
#SPJ2
Write in slope-intercept form an equation of the line that passes through
the given points. (0, 1) (2, 4 )
Step-by-step explanation:
m= (4-0)/(2-1)
=4
y-int=1
y=mx+c
y=4x+1
Question 1 The number of books Annie reads in a month increased from 8 books to 16 books. By what percentage did the number of books she reads increase ?
Answer:
Very easy Bud
Step-by-step explanation:
Nope
30/90 del número de plantas en un cultivo de caña está contaminada. De estas, el 1/2 ha sido tratada. ¿Cual es la fracción del número de plantas del cultivo que no ha sido tratada?
Answer:
1/6
Step-by-step explanation:
De la pregunta, sabemos:
30/90 del número de plantas de un cultivo de caña está contaminado.
30/90, simplificamos aún más
30/90 => 3/9 => 1/3
De estos, la mitad han sido tratados.
La fracción de los cultivos tratados son:
1/2 de 3/9 = 1/2 × 1/3
= 1/6
La fracción del número de plantas del cultivo que no ha sido tratada se calcula como:
1/3 - 1/6
El mínimo común denominador es 6
= (2 × 1) - (1 × 1) / 6
= 2 - 1/6
= 1/6
Usando proporciones, se encuentra que la fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Las plantas que no han sido tratadas son:
Las que non estan contamidas(6/9 de el total).1/2 de las contaminadas(1/2 de 3/9).Por eso, la proporción total es dada por:
[tex]\frac{6}{9} + \frac{1}{2}\frac{3}{9} = \frac{6}{9} + \frac{3}{18} = \frac{12}{18} + \frac{3}{18} = \frac{15}{18} = \frac{5}{6}[/tex]
La fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Un problema similar es dado en https://brainly.com/question/25377229
What is 3,350,000 in scientific notation?
Answer:
10^4 or 3.5
Step-by-step explanation:
Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the property was $899300 in 2012, find ite value in 2010.
Answer:
629 510$
Step-by-step explanation:
$899300 - (30% of $899300)
cuz its two years away from 2010 so it will have gone up 30 % so to rewind time, just go back 30%
Answer:
649744.25
Step-by-step explanation:
899300-15%-15%=649744.25
A bakery sold a total of 380 cupcakes in a day, and 209 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored? 1
Answer:
1.71% were mocha flavored
Step-by-step explanation:
380-209=171
171* 100=1.71%
Answer:
55%
Step-by-step explanation:
i need help with math
In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.
Equation:
x=
angle b=
Answer:
Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
x = 20
Angle B = 30°
Step-by-step explanation:
Given:
<A = 5x + 20
<B = 3x - 30
<C = 2x + 10
<D = 8x
Sum of interior angles of a quadrilateral = 360°
Therefore:
<A + <B + <C + <D = 360°
(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
Solve for x
5x + 20 + 3x - 30 + 2x + 10 + 8x = 360
Collect like terms
5x + 3x + 2x + 8x + 20 - 30 + 10 = 360
18x = 360
Divide both sides by 18
x = 360/18
x = 20
<B = 3x - 30
Plug in the value of x
<B = 3(20) - 30 = 60 - 30
<B = 30°
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers
Answer:
b
Step-by-step explanation:
How can you tell if an element has been oxidized?
A. Its oxidation state has not changed in the reaction.
B. Its oxidation state is higher in the product than in the reactant
C. Its oxidation state is lower in the product than in the reactant.
D. It has a negative oxidation state in the product.
Step-by-step explanation:
B. Its oxidation state is higher in the product than in the reactant
cruise ship wave 176 miles in 8 hours
18 miles per how
Answer:
22 mph
Step-by-step explanation:
blablablablablablablabla
Answer:
22 miles
Step-by-step explanation:
please have and great day and btw you are loved ok have a great day byee!!
I kind of don’t get this could someone explain and answer this question I would really appreciate :)
Answer:
its the fourth one
sts3ps oe
Answer:
the first picture A.
Step-by-step explanation:
Vertical angles are just two angles that lie across from each other. The other 3 pictures are referring to adjacent angles which are two angles that lie directly next to each other.
Two pieces of molding 2 1/8 inches and 2 1/8 inches long are placed end to end. What is the total length of the two pieces of molding together?
Answer:
1 hole 2 1/8 and 2 1/ 8 you add them together and it equal 1 hole
Using a Table of Values to Find a Solution to a System
a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.
x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6
b) Give the solution for the equation:
Answer:
This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.
f(x) = 2.5x -10.5 g(x) = 64(0.5)^x
when x= 2... when x= 2...
f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2
f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16
when x= 3... when x= 3...
f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3
f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8
when x= 4... when x = 4...
f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4
f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4
when x= 5... when x= 5...
f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5
f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2
when x= 6... when x = 6...
f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6
f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1
How many elements are in this equation:Mg2N3?
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation:
Use the figure on the right to find the length of DC.
Answer:
this is the figure btw
Step-by-step explanation:
Plzzz answer thank you :))
Answer:
booger
Step-by-step explanation:
bc
Yesterday, there were 90 problems assigned for math homework. Ken got 27 out of 90
problems correct. What percentage did Ken get correct?
Answer:
yo mama
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
27/90=0.3
0.3=30%
first to answer correct gets brainliest
Answer:
64-6=x
Step-by-step explanation:
Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°
Answer:
D. m<A = 61°, m<B = 57°, m<C = 61°
Step-by-step explanation:
The sum of all interior angles of a triangle is always equal to 180°.
Therefore, any set of given angle measurement of a triangle should sum up to 180°.
From the options given, the following angle measurements given in option D,
,m<A = 61°, m<B = 57°, m<C = 61° cannot be angle measurements of ∆ABC. This is because they sum up to give 179° instead of 180°.
Answer:
The answer is D
Credits to the person above me.
; )
Step-by-step explanation:
EDGE 2021
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
Find the quotient
2/3 divided by 3 = _
Answer:
2/9 should be the answer.
Step-by-step explanation:
In this example, the first thing we have to do is convert 3 to a fraction so that we can work with it, so 3 with turn into 3/1. Now we set up the problem using the keep change flip method. You 2/3 as it is, and you change the sign to multiplication. Then you flip the second fraction which is 3/1 to get 1/3. Now you have 2/3 x 1/3. Now multiply them and simplify if possible.