1) : 2x + 5y = 12 a. (1,?) b. (?, 1) C. (0,?) d. (?, 0)
Answer:
A. y = 2
B. x = 7/2
C. y = 12/5
D. x = 6
Step-by-step explanation:
A. Determination of y .
2x + 5y = 12
x = 1
2(1) + 5y = 12
2 + 5y = 12
Collect like terms
5y = 12 – 2
5y = 10
Divide both side by 5
y = 10 / 5
y = 2
B. Determination of x
2x + 5y = 12
y = 1
2x + 5(1) = 12
2x + 5 = 12
Collect like terms
2x = 12 – 5
2x = 7
Divide both side by 2
x = 7/2
C. Determination of y
2x + 5y = 12
x = 0
2(0) + 5y = 12
0 + 5y = 12
5y = 12
Divide both side by 5
y = 12/5
D. Determination of x
2x + 5y = 12
y = 0
2x + 5(0) = 12
2x + 0 = 12
2x = 12
Divide both side by 2
x = 12/2
x = 6
a) The failure rate in obtaining car license in every test held by Road Transport
Department Malaysia (JPJ) in 2013 is 8%. For the next test, twenty candidates were
chosen at random. Let X be the random variable of failure rate in obtaining car license
(C01. 13. PO1
Answer:
Step-by-step explanation:
A rectangle has an area of 76 square centimeters and a length of 19 centimeters.
Solve for w, the width of the rectangle in centimeters.
Answer:
4 centimeters
Step-by-step explanation:
width = area/length
width = 76/19 = 4 centimeters
It’s a long question THERE IS A PIC
9514 1404 393
Answer:
1.7 degrees is warmer than -3.4 degrees
Step-by-step explanation:
You can find these two numbers on a number line. Warmer (and greater) is to the right.
Find the value of x in the given
right triangle.
х
37°
10
X = [?]
Enter your answer as a decimal rounded to the nearest 10th
Answer:
cos37=10/y
0.8=10/y
y=12.5
y²=10²+x²
x=12.5²-10²
56.25
Step-by-step explanation:
Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.
A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)
Answer:
1,2 = 1,negative2
3,6 = 3,negative 6
-1,2 = negative 1, negative 2
-2,-2 = negative2, 2
Step-by-step explanation:
Sorry all i could do was reflect the coordinates across the x-axis.
The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
What is reflection along the x-axis?When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).
Think of holding the x-axis with two fingers and rotating it.
Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis.
∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
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Which equations could verify the solution to the equation − 48 = − 7 x − 13 ? Select two answers.
A.− 48 = − 7 ( − 5 ) −13
B.48 = 7 ( 5 ) + 13
C.− 48 = − 7 ( 5 ) −13
D.48 =35+13
E.−48= -35−13
Answer: it is b i am sure it is
4)
Which expression is equivalent to 3x + x + y?
A)
4xy
B)
5xy
0
3 + xy
Highlight
D)
4x + y
Time
Remaining
Answer:
D.) 4x + y
Step-by-step explanation:
3x + x + y
Add 3 x and x .
4 x + y
2(a + 5) – 4 = 2.a +2.5 –4 +
distributive property
distributive property
commutative property
associative property
Answer:
distributive property
Step-by-step explanation:
2(a+5)
2 is being distributed
A meal at Mrs Love's usually costs £27.66.
1/3 is added to this price for Valentine's Day.
How much does the Valentine's meal cost now?
I need help thanks so much
Answer:
9
Step-by-step explanation:
The triangle provided is an equilateral one, which means that the length of all sides is equal.
Let's start by taking two and finding x.
8x+1 = 3x+6 (Subtract 3x from both sides)
5x+1 = 6 (Subtract 1 from both sides)
5x = 5 (Divide 5 from both sides)
x = 1
Now we substitute x in all the equations to find the length.
8(1) + 1 = 9
3(1) + 6 = 9
4(1) + 5 = 9
Length = 9
The equation S = 50 + 45w represents the savings, S, after w weeks working and
depositing (putting in) money into a savings account at the bank.
Determine whether there is a proportional relationship between S and w.
Explain your reasoning.
Answer:
yes
Step-by-step explanation:
50 can be the initial money in the account and she can be depositing 45 dollars every (w) weeks and it will show her (S) savings
You buy butter for $4.04 a pound. One portion of onion compote requires 1.7 oz of butter. How much does the butter for one portion cost? Round to the nearest cent.
Answer:
im pretty sure its 4.04 x 1.7 = 6.868
Round that and its $7.00
Write a system of equations. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. WRITE BOTH EQUATIONS FOR THIS SYSTEM.
Answer:
Step-by-step explanation:
If you are looking for an equation then it is:
4x + 3y = 1787 (Where x is the reserved seat tickets and y is general admission)
and $4x + $3y = $5792
Step 1: 12x – 15 – 12x = 7x + 20
Step 2: 12x – 12x – 15 = 7x + 20
Step 3: -15 = 7x + 20
Step 4: -35 = 7x
Step 5: -5 = 3
Drag and drop the correct justification for each step.
Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20L of a 15% alcohol solution
Answer:
Let x= liters of 18% solution to be added to a 10% solution.
20-x= liters of 10% solution to be mixed with 18% solution.
..
18%(x)+10%(20-x)=15%(20)
.18x+2-.1x=3
..08x=1
x=1/.08=12.5
ans:
12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.
I hope it's helpful!
Who is awake need help with math points and brainlest
Answer:
4/8 = 9/n the first fraction is the height of the small shape to the height of the big shape and the second fraction is the bottom of the small shape to the bottom of the big shape (n)
Step-by-step explanation:
What is the product of 2.7 and 18/17? Is the product rational or irrational?
Answer:
Irrational!
Hope that helps!
Step-by-step explanation:
How much net work is required to accelerate a 1000 kg from 20 m/s to 30
m/s?
Answer:
Work= force(F) * distance (s)
weight is a force and so
F=weight=mass *acceleration due to gravity
=1000*10=10000N
S=?
To find s,
F= ma
a=F/m=10000/10
a=10m/s²
Using Newton's third equation of motion
v²= u²+2as
30²= 20²+2*10*s
900–400=20s
500=20s
s=500/20= 25m
Work =F*s
Work=10000*25
Work= 250000J or 250KJ
Step-by-step explanation:
0.36 divided by 2.34
Answer:
0.15384615384
Step-by-step explanation: Often times, this number will be rounded to the nearest hundreth to be .15
Answer:
=0.1538461538461538
Step-by-step explanation:
Hope this helps (:
which graph is a function?
Answer:
visual representation of the set of ordered pairs
Answer:
Technically they would both be a function because each x value has a different y value but i'll say the straight one would be the better function. Warning Both graphs are proper functions. It's just that the first one would be a better answer if there was only one answer choice.
Step-by-step explanation:
5/8 + 1/8 simplify
1. 6/8
2. 6/16
3 . 3/4
4. 3/8
Answer:
5/8+1/8=1/8×{5+1)=6/8=3/4
5/8-1/8=1/8×{5-1)=4/8=1/2
(x ^ 4 + 1) / (x + 1)
synthetic division
find the distance in the coordanite plane between the two points and show ur work
1 (5, -8) and (5,2)
2 (-8, -2) and (7, -2)
3 (9, 10) and (9, -2)
4 (11 , 6) and (-7, 6)
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6 days. Its average brightness is 3.5 and the brightness changes by /-0.25. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days: B(t)=4.2 +0.45sin(2pit/4.4)
A) Find the rate of change of the brightness after t days.
B) Find the rate of increase after one day.
Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.
Elliot packed unit cubes into a prism, as shown. Which statement about the volume of the prism is true?
Answer:
The volume of the prism is 36 cubic units.
Step-by-step explanation:
I got it right. Hope this helps!
Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation
Answer:
16 is the answer
I hope this answer help you
Answer:
Subtract 4 1st
Step-by-step explanation:
Subtract 4 of the cars since he gave them to his brother then divide between 4
HELPPPPP SOMEONE HELP AND I WILL MARK BRAINLIST!!!
Answer:
Angle B and Angle D are both 101 degrees
Step-by-step explanation:
Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).
Given that fact, we can deduce the measure of angle B.
180-79=101.
Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.
180-79=101.
Therefore, both Angle B and D are 101 degrees.
how is 3×3×3×3×3×3×3 written in exponential form
Answer:
3 to the 7th power (7 is the exponent)
Step-by-step explanation:
have a wonderful
t=bd+M solving M what's the answer
Answer:
m=−bd+t
Step-by-step explanation:
t=bd+m
flip equation
bd+m=t
Step 2: Add -bd to both sides.
bd+m+−bd=t+−bd
m=−bd+t
On solving for M, we get -
M = t - bd
We have the following expression -
t = bd + M.
We have to solve for ' M '.
Solve for x : nx + a = [tex]$\pi[/tex].On solving, we get -
nx + a = [tex]$\pi[/tex]
x = [tex]$\frac{\pi -a}{n}[/tex]
According to the question, we have -
t = bd + M
t - bd = M
M = t - bd
Hence, on solving for M, we get -
M = t - bd
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