Answer:
y = 2/3x - 2
Step-by-step explanation:
Given :
Slope, b = 2/3
y - intercept, c = - 2
The equation of a line can be expressed in slope intercept form as :
y = bx + c
b = slope ; c = y - intercept
Hence, line equation becomes ;
y = 2/3x - 2
Write a System of Equations to solve the following problem:
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
#students each VAN can carry:
#students each BUS can carry:
Answer:
each van carries 7 students
each bus carries 60 students
Step-by-step explanation:
let v = # students in a van
let b = # students in a bus
system of equations:
13v + 2b = 211
4v + 4b = 268
I multiplied the 1st equation by -2 to eliminate the 'b' terms
-26v - 4b = -422
+ 4v + 4b = 268
-22v = -154
v = 7
substitute '7' for 'v':
4(7) + 4b = 268
28 + 4b = 268
4b = 240
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
Step-by-step explanation:
Let v = number of students in each van.
Let b = number of students in each bus.
High School A:
13v + 2b = 211
High School B:
4v + 4b = 268
The system of equations is
13v + 2b = 211
4v + 4b = 268
We will solve this system of equation with the addition method.
Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.
13v + 2b = 211
(+) -2v - 2b = -134
----------------------------
11v = 77
Divide both sides by 11.
v = 7
Substitute 7 for v in the first original equation and solve for b.
13v + 2b = 211
13(7) + 2b = 211
91 + 2b = 211
Subtract 91 from both sides.
2b = 120
Divide both sides by 2.
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
Last year Emily invested some money and had gained 8% profit and her friend, Samira invested some money and gained 9% profit. Their total profit on the two investments was $1720. This year they each decided to invest the same amount of money as last year. Emily gained 7% profit this year and Samira gained 6%. If they receive a total profit of $1280, how much money did Emily invest? Answer.
Answer:
Emily's investment = $8,000
Step-by-step explanation:
Let Emily's invested amount = x
Let Samira's amount = y
8% of Emily's amount = 8/100 × x = 0.08x
9% of Samira's amount = 9/100 of y = 0.09y
∴ 0.08x + 0.09y = 1720
multiplying through by 100
8x + 9y = 172000 - - - - - (1)
7% of Emily's amount = 0.07x
6% 0f Samira's amount = 0.06y
0.07x + 0.06x = 1280
multiplying through by 100
7x + 6y = 128000 - - - - - - (2)
Next, let us subtract eqn 2 from eqn 1
equation (1) - equation 2
8x + 9y = 172000
-
7x + 6y = 128000
= x + 3y = 44000 - - - - (3)
from eqn (3) x = 44000 - 3y - - - - - (4)
putting this value of x into eqn 1
8x + 9y = 172000
8 (44000 - 3y) + 9y = 172000
352000 - 24y + 9y = 172000
-15y = 172000 - 352000 = -180000
y = 180000 ÷ 15
y = $12,000
finding x using eqn (4)
x = 44000 - 3y
x = 44000 - 3(12000)
x = 44000 - 36000
x = $8,000
∴ Emily's investment = $8,000
Please help me!!! I need soooo much help
Answer: option 3
Step-by-step explanation:
Juanita studied 3/2 hours on Saturday and 5/4 hours on Sunday. How many total hours did she study those two days?
Answer:
11/4
Step-by-step explanation:
3/2 can be re-written as 6/4. they now have the same denominator. 6/4 + 5/4 = 11/4
The outside temperature at midnight today in Polina’s hometown was 18 degrees Fahrenheit. The temperature increases by 1.2 degrees Fahrenheit each hour over the next 15 hours. Polina’s school does not send students outside for recess if the outside temperature is 32 degrees Fahrenheit or lower. Recess at her school always starts on the half hour or hour. Which statement is true about recess at Polina’s school?
Answer:
Just read and study on you lesson/book and take notes
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please help due in 19 minutes
Answer:
42 yd
Step-by-step explanation:
Formula for the area of a rhombus is the length times the width, all divided by 2. A is given as 26, and the total is 546, so the equation is set up like this:
[tex]\frac{26d}{2} =546[/tex]
(Solving for d)
First, multiply both sides by 2 to get:
26d = 1,092
Then, divide both sides by 26 to isolate the variable d:
d = 42
Help pls, answer choices listed!
Answer:
C
Step-by-step explanation:
Brainliest please
what the answer and how do I solve it?
Answer:
5xy^2z
Step-by-step explanation:
(-15/-3) x (x^6/x^5) x (y^5/y^3) x z = 5xy^2z
Answer:
[tex]5xy^2z[/tex]
Step-by-step explanation:
On a pen stand, there are 240 pens. Out of these, 80 are red and the rest are blue. Find the ratio of blue pens to the total number of pens.
Please give fast ill give brainly
Answer: it's 3 to 1
Step-by-step explanation: 3 red to 1 blue just trust in the process ill explain in the comments so you get this answer fast
Express the ratio below in its simplest form
1/2 : 1/3
Answer:
3 : 2
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] : [tex]\frac{1}{3}[/tex] ( multiply both parts of the ratio by 6 , the LCM, of 2 and 3 )
= 3 : 2
1/2:1/3
multiply the first fraction by the inverse of the second
1/2×3/2=3/2
the answer is 3:2
Megan ran 1 3/4 miles. What is this as an improper fraction?
Answer:
Yes it is improper fraction
Find the missing sides and leave answers as radicals in simplest form!! I need help
Answer:
21\deg 17'34"
Step-by-step explanation:
21\deg 17'34" i thin k
A laptop used to cost $999
was marked down to $850.
What was the percent of
markdown?
Answer:
The answer is 17.53 percent.
Step-by-step explanation:
Good luck!
Linear or non linear?
Answer:
nonlinear
Step-by-step explanation:
Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Answer with Explanation:
To qualify as a function, each x value may not have more than 1 Y value.
This rules out A, B, and D.
The answer is C.
Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.
Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.
Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.
You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.
A rectangle has length (x + 5)cm and width (x –2)cm. Its area is 60 cm 2
Area = length x width
60 = (x+5) (x-2)
60 = x^2 + 3x -10
Subtract 60 from both sides:
x^2 +3x -70 = 0
Solve for x by finding 2 numbers when added together = 3 and when multiplied by each other = -70
x = -10 and 7
Since the sides have to be a positive number we need to use 7
The length = x+5 = 7+5 = 12 cm
The width = x-2 = 7-2 = 5 cm
6,816 divided by 32?
Answer:
213
Step-by-step explanation:
Answer:
213
Step-by-step explanation:
1/3x - 8 = 32 *
pls help
Answer:
120
Step-by-step explanation:
1/3x-8=32
1/3x=32+8
1/3x=40
x=40/(1/3)
x=(40/1)(3/1)
x=120/1
x=120
Cari simplifies the expression (5 + 4) 2− 5 × 2. Part A Cari shows her work on the board. Use numbers and words to explain her mistake. (5 + 4) 2− 5 × 2 (5 + 16) − 5 × 2 21 − 5 × 2 16 × 2 32
Answer:Please see explanation for answer.
Step-by-step explanation:
Simplifying the expression
5 + 4) 2− 5 × 2
Carl's method
(5 + 4) 2− 5 × 2 -----first error was taking only 4 from the bracket and squaring it.
Instead of solving the bracket as a whole before solving outside. And once she got it wrong from the start, every other solving would be wrong
(5 + 16) − 5 × 2
21 − 5 × 2
16 × 2
32
The right method
In simplifying the expression, we must bring in Mind our Bodmas
Which means we tackle Brackets before division, then multiplication , then addition and lastly subtraction.
(5 + 4) 2− 5 × 2
Solving the bracket first we have
(9)2-5x2
Since there is no division, we move to multiplication and we can see two sites for multiplication(9 x 2 and 5x2)
18-10
Subtracting will give us 8 as our answer.
LAST QUESTION PLEASE HELP ME
Answer:
t = 28
Step-by-step explanation:
56 = 2t
t = 56 / 2
t = 28
Hope that helps!
Answer: t= 28
Step-by-step explanation:
Isolate t by dividing both sides by 2.
how many ml in 0.006
Answer:
6ml
Step-by-step explanation:
Answer:
if 0.006 l= 6ml
Step-by-step explanation:
I need help!! please help
Answer:21
Step-by-step explanation:
Part I : Write the type of polynomial next to the terms (monomial, binomial, trinomial)
1. 6x-4
2. x2-2xy-7
3. 26b2
4. -8
Part II: Write the polynomial in standard form
5. 12+5y+6xy+8xy2
6. 34x+9x4+3x7-4x2
Part III: Adding polynomials
7. (p3+5p2+9p-6)+(5p3-8p+1)
8.(2p4+3p+9) +(4p4+3p3+p)
Answer:
Part I:
1. binomial
2. trinomial
3. monomial
4. monomial
Part ll :
5. 8xy2 + 6xy + 5y + 12
6. 9x4 + 3x7 - 4x2 + 34x
Part lll:
7. (p3+5p2+9p-6)+(5p3-8p+1)
= p3 + 5p2 + 9p - 6 + 5p3 - 8p + 1
= 6p3 + 5p2 + p - 5 ( add all the like terms i. e. those terms having the same power)
8. (2p4+3p+9) +(4p4+3p3+p)
= 2p4 + 3p + 9 + 4p4 + 3p3 + p
= 6p4 + 3p3 + 4p + 9 ( adding all the like terms i. e. those terms having same power )
Hope this helped you
Hope this helped you ALL THE BEST !!
I appreciate if y’all help me ^^
Answer:
24 ft²
Step-by-step explanation:
The formula to solve for area of a triangle is: [tex]\frac{1}{2} bh[/tex]. First multiply the base x height: 12 x 4 = 48. Now multiply by 1/2: 48 x 1/2 = 24. Your answer is 24 ft².
Hope it helps and is correct!
Hi :)))))))))))))))))
Answer:
Answer:
Step-by-step explanation:
Hello!
Have a great day!
The system of equations y = -2x+4 and
y = $x-3 is graphed below. What is the
solution to the system of equations?
Y
2
-1
Plsss help anyone
Answer:
The answer is (3,-2)
Step-by-step explanation:
[tex] \frac{1}{3} x - 3 = - 2x + 4 \\ \frac{1}{3} x + 2x = 7 \\ \frac{7}{3} x = 7 \\ x = 3 \\ then \: \\ y = - 2[/tex]
Simplify( (-4/5)^-2)^2
DEF, find the length of d, to the nearest tenth, given that ∠D=110o, e = 10cm and f = 14cm.
Answer:
d = 19.8 cm
Step-by-step explanation:
Use the law of cosines
[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]
= 100 + 196 - 280 cos 110
= 296 - (-95.765640)
= 391.765640
[tex]d = \sqrt{391.7656401}[/tex]
d = 19.8 cm
solve 4x² - 3x - 2 = 0
give your solutions to 3 significant figures
Answer:
x=1.18
x=0.425
Step-by-step explanation:
none needed <3
75.854 expanded form
Answer:
70+5+0.8+0.05+0.004
Step-by-step explanation:
