Answer:
Answer in explanation
Step-by-step explanation:
Linear Modeling
It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned
Create a model in standard formLet
x = number of lawns mowed
y = number of pools cleaned
He wants to make $750, thus:
25x + 15 y = 750
Dividing by 5, we have the model that represents the linear relationship:
5x + 3y = 150
Identify the x-interceptThe x-intercept can be found by setting y=0:
5x + 3(0) = 150
5x = 150
Dividing by 5:
x = 150/5 = 30
x = 30
This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.
Identify the y-interceptThe y-intercept can be found by setting x =0:
5(0) + 3y = 150
3y = 150
y = 150/3 = 50
y = 50
This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.
Identify two combinations that are solutions to the equationStarting from the basic equation
5x + 3y = 150
We can give x some arbitrary value (less than 30) and find the value for y.
For example, for x=12
5*12 + 3y = 150
60 + 3y = 150
3y = 150 - 60 = 90
y = 90/3=30
This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.
For example, for x=21
5*21 + 3y = 150
105 + 3y = 150
3y = 150 - 105 = 45
y = 45/3=15
This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.
Somebody plz help with this asap
Answer:
i wish i could help you
Step-by-step explanation:
A penguin randomly sends three penguins out of his army of 20 penguins on a secret mission. What is the probability that a penguin named Bella will be chosen?
Answer:
1 out of 17
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP FAST!!!!!!!!!! WILL REPORT ANY TROLLS
ABC is an isosceles right triangle in which AB has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of B'C'?
A. - 1
B. 0
C. 1
D. 1.5
E. 2
Answer:
i think its 1.5 im not sure tho 1.5 sounds the best
Step-by-step explanation:
Answer:
C. 1Step-by-step explanation:
Given
ΔABC withSlope of AB = -1∠ABC = 90°This means that AB⊥BC
The dilation doesn't affect the shape of the triangle, therefore:
A'B' has slope of -1B'C' ⊥ A'B'Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is - 1.
Let the slope of B'C' is x, then:
-1*x = -1x = 1Correct option is C
WHO KNOWS THIS QUESTION
Answer:
A
Step-by-step explanation:
Hope This Helps
Helps pls I rlly don’t know ?
Answer:
it's easy u stupido perra
Step-by-step explanation:
Answer:
Your first point should be at (0,-2), because of the y intercept. Then, since the slope is 3, you want to rise 3 and run 1. Go up 3, then to the right 1. That should be your next point. Then do it again, and again, how many ever times you need to.
A go-kart's gas tank holds 6 gallons of gasoline which will last 228 miles. How many miles can the go kart travel on 1 gallon of gasoline?
Answer:
1 mile of gas will go 38 miles.
Step-by-step explanation:
If 6 gallons goes 228 miles, how many does 1 gallon go? You would have to divide 228 by 6 in order to find how many miles are in one gallon.
OR, if you prefer algebra:
228 miles/ 6 gallon = (x) miles/ 1 gallon
Which would be 228/6 = x/1
At the animal shelter, there are 4 dogs for every 3 cats. Only dogs and cats are accepted (let in) at the shelter. If there are 24 dogs currently at the shelter, how many animals are at the shelter?
Answer:
There are 42 animals at the shelter
(4u + 9) + 9u^2
adding & subtracting polynomials
Answer:
9u² + 4u + 9
Respond w/ any questions...
Answer:
9u^2 + 4u + 9
Step-by-step explanation:
eliminate parentheses - 4u + 9 + 9u^2
rearrange terms - 9u^2 + 4u + 9
Mrs. Larson was making gift bags for the 6 students in her reading group she was putting little erasers in the bags she had bag of 20 erasers how many erasers did each student get show all work
Answer:
each student gets 3 erasers
Step-by-step explanation:
You have to divide 20 total erasers by the 6 students and you get about 3.33... and this number rounded down is 3.
Have an stupendous day! I hope this answer was helpful to you.
Each student get 3 erasers.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Total number of students = 6
Number of erasers = 20
Now,
Since, Total number of students = 6
And, Number of erasers = 20
Hence, Number of eraser getting by each students = 20 ÷ 6
= 3.33
Thus, Each student get 3 erasers.
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Write the ratio 5 to 8 as a fraction, decimal,
and percent.
fraction:
decimal:
percent:
Help meeeeee
Answer:
5/8
.625
62.5%
Step-by-step explanation:
Franco says that 9 is a prime number. Is Franco correct?
Answer: No he's wrong
Step-by-step explanation:
Which is the solution for 3 (10x+4) = 8(3x + 6)
Answer:
x=6
Step-by-step explanation:
Answer:
3(10x+4)=8(3x+6)
Step 1: Simplify both sides of the equation.
3(10x+4)=8(3x+6)
(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)
30x+12=24x+48
Step 2: Subtract 24x from both sides.
30x+12−24x=24x+48−24x
6x+12=48
Step 3: Subtract 12 from both sides.
6x+12−12=48−12
6x=36
Step 4: Divide both sides by 6.
6x = 36
Answer:
x=6
Please help !!!!!!!!
PLEASE HELP! URGENT!
What is the value of x? Enter your answer in the box.
Answer:
x = 61°
Step-by-step explanation:
Property of a triangle,
Sum of interior angles of a triangle = 180°
By applying this property in ΔABC,
m∠A + m∠B + m∠C = 180°
x° + 67° + 52° = 180°
x + 119° = 180°
x = 180 - 119
x = 61°
Therefore, measure of angle A = x = 61°
Lily has 2 rows of 3 model dolls on each of her 3 shelves. How many dolls does she have in all?
Answer:
18
Step-by-step explanation:
Which of the following sets of numbers could represent the three sides of a triangle?
O {11, 17, 26}
O {8,10,19}
O {13, 22, 37}
O {8, 11, 20}
Answer:
it could be all of them
Step-by-step explanation:
Because all of them have 3 measures of length
Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C only. You will need to use both Soh-Cah-Toa and the Pythagorean Theorem to solve for side AB.
Answer:
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
[tex]Sin\ C = \frac{h}{a}[/tex]
Make h the subject:
[tex]h = aSin\ C[/tex]
Also, in BOC (Using Pythagoras)
[tex]a^2 = h^2 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = a^2 - h^2[/tex]
Substitute [tex]aSin\ C[/tex] for h
[tex]x^2 = a^2 - h^2[/tex] becomes
[tex]x^2 = a^2 - (aSin\ C)^2[/tex]
[tex]x^2 = a^2 - a^2Sin^2\ C[/tex]
Factorize
[tex]x^2 = a^2 (1 - Sin^2\ C)[/tex]
In trigonometry:
[tex]Cos^2C = 1-Sin^2C[/tex]
So, we have that:
[tex]x^2 = a^2 Cos^2\ C[/tex]
Take square roots of both sides
[tex]x= aCos\ C[/tex]
In triangle BOA, applying Pythagoras theorem, we have that:
[tex]AB^2 = h^2 + (b-x)^2[/tex]
Open bracket
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
Substitute [tex]x= aCos\ C[/tex] and [tex]h = aSin\ C[/tex] in [tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]
[tex]AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2[/tex]
Open Bracket
[tex]AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C[/tex]
Reorder
[tex]AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C[/tex]
Factorize:
[tex]AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C[/tex]
In trigonometry:
[tex]Sin^2C + Cos^2 = 1[/tex]
So, we have that:
[tex]AB^2 = a^2 * 1 + b^2-2abCos\ C[/tex]
[tex]AB^2 = a^2 + b^2-2abCos\ C[/tex]
Take square roots of both sides
[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]
A bus travels at 182 miles in 4 hours. How many miles can the bus travel in 1 hour?
Answer: 45.5 miles
Step-by-step explanation: divide182 by 4
Answer:
182/4=45.5
the bus travels 45.5 miles in 1 hour
I hope this helps!!
Step-by-step explanation:
Someone help please I’ll mark brainliest! Leave a small explanation
Answer:
D. (-3,1)
Step-by-step explanation:
When putting pairs it is (X,Y) (horizontal,vertical)
The ones both meet at point D. (-3,1)
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
Actually its option C. 5
Step-by-step explanation:
Trust me
n=120
n=5
A baseball bat cost $30 each from a manufacturer. If a store purchases more than 10 bats, the store receives a 15% discount on the total order. A store ordered 24 bats. What was the total amount of the order before sales tax?
Answer:
$612 was the total amount of the order before sales tax.
Step-by-step explanation:
30 × 24
720
$720 is the full order without the discount being applied
24 is more than 10 bats so the discount will be applied
Convert the percentage into a decimal (move the decimal place two places to the left)
(30 × 24) × (.15)
720 × .15
108
$108 is the discount off the full order of 24 bats
720 - 108
612
$612 is the full order, including the discount
Use the graph at the right. If the
y-intercept increases by 2 and
the slope remains the same,
what will the x-intercept be?
F. –3
H. 1
G. –2
J. 4
Please help me it’s due today please help me please please people help me please please
Answer:
a) 0≠ -10
b) x= -3
c)y= 0
Step-by-step explanation:
a) 3-4x=-7-4x
[tex]3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10[/tex]
So, this equation has no solution as both sides are not equal.
b) [tex]15-2x=-7x[/tex]
Solving:
[tex]15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3[/tex]
So, this equation has one solution
c) 7(y-3)=6y-21
Solving:
[tex]7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0[/tex]
So, this equation has one solution.
1. Write equation with no solution. 3-4x=-7-4x (check solution of a)
2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)
3. Write equation with infinite solution. 2x + 3 = x + x + 3
solving:
2x+3=2x+3
2x-2x+3=3
3=3
When both sides are equal, the equation has infinite solutions.
: What is 40% of 200 Using table
Answer:
80
Step-by-step explanation:
40% of 200=80
Answer:
80
Step-by-step explanation:
40% of 200
40/100×200
80
Answer is 80
What is -(-9y+2)-3y=-8
An equation of the line that has a slope of 3 and a y intercept of -2
Answer:
y=3x-2 or y=3x+2
Step-by-step explanation:
Answer: y = 3x-2
Step-by-step explanation:
Con un diámetro de 4x y un ares de 28.26cm cual es el valor de X
Answer:
2826/25
Step-by-step explanation:
28.26×4=========2826/25
helpe helpe help help help help help help
Answer:
B
Step-by-step explanation: Please mark Brainiest if I'm right.
Answer:C
Step-by-step explanation:
Find the exact value of sin A in simplest radical form.
Answer:
[tex] \sin A= \frac {1} {\sqrt {82}}[/tex]
Step-by-step explanation:
[tex]\sin A= \frac {BC} {BA} \\\\
\sin A= \frac {1} {\sqrt {82}} \\\\[/tex]
The exact value of sin A in simplest radical form is 1 /√82.
What is sine?In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.
Now from the given triangle we have,
Hypotenuse, AB = √82
Perpendicular, BC = 1
Base, AC = 9
Since, sine function is the ratio of the length of the opposite side to that of the hypotenuse.
Thus, Sin A = Perpendicular / Hypotenuse
⇒ Sin A = 1 /√82
which is the required the exact value of sin A in simplest radical form.
Thus, the exact value of sin A in simplest radical form is 1 /√82
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The table shows three transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers.
Answer: A
Step-by-step explanation: Pic is attached. Hope this helps.