Answer:
There are 20 3-point questions and 8 5-point questions
Step-by-step explanation:
x=3 point y=5 point
x+y=28 ----> x=28-y
3x+5y=100
3(28-y)+5y=100
84-3y+5y=100
84+2y=100
2y=16
y=8
28-8=20
Answer:
20 3-point questions and
8 5-point questions.
Step-by-step explanation:
Let there be x 3 point problems and y 5 point problems. So we have:
x + y = 28 Multiply this equation by -3:
-3x - 3y = -84
3x + 5y = 100 Adding the last 2 equations:
0 + 2y = 16
y = 8
So x = 28 - 8 = 20.
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400
What is 3% of 84?
Show work!
I dont understand this... they do not teach well in my school tbh.
The sum of 2 numbers is 38. The grarter number is 8 more than the other number find each number ise a aystem of linear equations to justify your answer
Answer:
x = 23 ; y = 15
Step-by-step explanation:
Given :
Let the numbers be : x and y
x + y = 38 - - (1)
x = y + 8 - - - (1)
Put x = y + 8 into (1)
y + 8 + y = 38
2y + 8 = 38
2y = 38 - 8
2y = 30
y = 30/2
y = 15
x = y + 8
x = 15 + 8
x = 23
Y’all know what this is ?
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)
Answer:
angle side angle
Step-by-step explanation:
the ratio of PHP 504.00to 14liters of gasoline
Answer:
36:1
Step-by-step explanation:
Divide 504 by 14 to get the ratio
Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Step-by-step explanation:
Cost of each golf ball = $9.31 / 18
≈ $9 / 18 = $0.5.
Answer: 0.5172222222222222
Step-by-step explanation: divide 18 by 9.31
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
Solve for X
If you have 2x+3
Answer:
in the explanation
Step-by-step explanation:
According to the triangle midsegment theorem (if these points are midpoints),
2x + 3 is two times longer than 7, meaning it's 14.
2x+3=14
2x=11
x = 11/2
If there is an option for not enough info given, that should be right as it doesn't actually say that they are midpoints
Can somebody answer this?
Answer:
c. m
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.
Answer:
the slope of the line is m
Step-by-step explanation:
why m?
because as you see in the equation
y=mx+b this means y-b/x = m
as you know slope is ∆y/∆x =m
it is the same as the first one .
Find the solution set to 3(2x - 4) > 2(x + 4)
Answer:
X>5
Step-by-step explanation:
So first distribut the numbers
6x-12>2x+8
now subtrct 2x on both sides
4x-12>8
Now add 12 on both sides
4x>20
x>5
Answer: > 5
Step-by-step explanation: I just know
Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
BRAINLIEST goes to the right answer.
For the function in the graph, find the values of f(-2), f(2), and f(4).
A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1
Need help asap please
Answer:
Option 3
Step-by-step explanation:
The number on the inside is the dividend and the number on the outside is the divisor. So we just have to place the dividend on the top and the divisor on the bottom.
Hello someone please help me
Answer:
C = {-5,2,5} answer
Step-by-step explanation:
ccccccc
Select all the correct answers,
Which relations represent functions?
Answer:
A and C are the correct answer
Step-by-step explanation:
ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=
Answer:
domain=-6,5,0,-2
range=4,-1,3,4
Step-by-step explanation:
u gotta ask function to someone else sry
A train travelled 300 kilometres in 5 hours. Find it's rate of speed
Answer:
The train traveled 60 kilometers per hour.
Step-by-step explanation:
300/5=60
Answer:
60 km/hours
Step-by-step explanation:
in the picture above.
-1 + 3x< 14 solve the equality
Answer:
x = 5
Step-by-step explanation:
add positive one to both -1 and 14
divide each side by 3
Francie lives 1_5 mile from the school. Jake lives 2_10 mile from the school. Do they live the same distance from the school? Explain.
Answer:
Yes
Step-by-step explanation:
So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.
Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.
a. How many copies will bill have to purchase if he is to have enough resumes?
b. how much will the copies cost bill, including the 6% sales tax?
If a car travels 400m in 20seconds how fast is it going?
The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.
Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
Is the ratio 4.2:1.5 proportional to the ratio 12:5? Explain.
Answer:
No.
Step-by-step explanation:
We can set this proportion up as:
[tex]\frac{4.2}{1.5}=\frac{12}{5}[/tex]
For this to be true, cross-products need to be equal:
[tex]4.2(5)=12(1.5)[/tex],
However, we can see that this is not the case:
[tex]4.2\cdot 5 \neq 12 \cdot 1.5[/tex]
Therefore, these ratios are not proportional.
The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
Answer:
[tex](x+1)(5x-4)(x-2)[/tex]
Step-by-step explanation:
We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].
Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]
Now all we need to do is factor[tex](5x^2-14x+8)[/tex]
[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]
This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].
p(x) as a product of its linear factors is:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
The given polynomial is:
[tex]p(x) = 5x^3-9x^2-6x+8[/tex]
The divisor = x + 1
The division expression can be written as:
[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]
Factorize [tex]5x^2-14x+8[/tex]
[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]
Therefore, p(x) as a product of its linear factors is written as:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
Learn more here: https://brainly.com/question/18818577
BASIC LEVEL
1. On a sheet of paper, enlarge the following figures
with centre of enlargement E and scale factors each
indicated in brackets.
Plz help
Answer:
hjskkdoododkdkdndndndndndndndnsn sorry I needed points to ask a question
Graph
y−2=23(x+4)
I don’t no how to graph so plz help me
Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph
Step-by-step explanation:
the graph shows the number of us passports issued in 2012, 2014, and 2016. find the rate of change between 2012 and 2014. pay attention to the scale of the y-axis
An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.