Answer:
A
Step-by-step explanation:
The required system that can be obtained by substituting is
2 (1 - 2c) + 3c = 5, because a = 1 - 2c.
Given the system of equation;
2a + 3c = 5
a +2c=1
This system can be solved using the substitution method.
From equation 2:
a = 1 - 2c ...................... 3Substitute equation 3 into 1 will give:
2a + 3c = 52 (1- 2c) + 3c = 5Hence the required system that can be obtained by substituting is
2 (1 - 2c) + 3c = 5, because a = 1 - 2c.
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A new motorcycle has a value of $8000 every year is value decreased by $500 which function can be used to find why the value of motorcycle in X years?
The function for the value of the motorcycle after x years are;
y = 8000 - 500x
y = -500x + 8000
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have given that new motorcycle has a value of $8,000. Every year its value decreases by $500.
Now, we have y = amount of the motorcycle
x = number of years
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Thus,
y = 8000 - 500x
y = -500x + 8000
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Molly buys a necklace for $400 on her credit card, which charges 21% simple interest. How much interest will be added after 6 months? Write an equation and solve the problem.
Answer:
$106.50
Step-by-step explanation:
How many times 0.25 can be
subtracted from 5 ?
Answer:
once
Step-by-step explanation:
The solution of the subtraction operation is equal to 4.75 .
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS - Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We need to Subtract 0.25 subtracted from 5
We know that 0.25 x 20 = 5
so, the subtraction is;
5 - 0.25 = 4.75
The answer is 4.75 .
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An irregular hexagon has angles that measure the following. Angle 1: 2x + 15 Angle 2: 9x - 3 Angle 3: 77 Angle 4: 8x + 8 Angle 5: 13x Angle 6: x - 4 What is the value of x?
Answer: 19
Step-by-step explanation:
1) You combine like terms with all the angles
Ex. 2x + 15 + 9x - 3 + 77 + 8x + 8 + 13x + x - 4, which equals 33x + 93
2) You set up an equation using the formula for the sum of the interior angles
Ex. 33x + 93 = 180(n - 2)
3) Since a hexagon has 6 sides, n is 6
Ex. 33x + 93 = 180(6 - 2)
4) Solve like a regular equation
Ex. 33x + 93 = 180(6 - 2)
33x + 93 = 720
- 93 = - 93
33x = 627
- Divide 627 by 33
x = 19
1) Determine the quotient: 2 4/7 ÷ 1 3/6. * A.27/7
B.3
C.1 5/7
D.1 7/13
A cylinder with a volume of 45 cubic inches has a radius of 3 inches. Which expression represents the height of the cylinder in inches?
Answer:
Step-by-step explanation:
If P M L ~ T R Q; find QR
multiple choice pls help
Answer:
x = 28.9
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 48 = [tex]\frac{26}{x}[/tex]
(tan of 48 is 1.11)
⇒ 1.11 = [tex]\frac{26}{x}[/tex]
multiply 26 on both sides
⇒ 1.11 x 26 = [tex]\frac{26}{x}[/tex] x 26
⇒ 28.86 = x
round to the nearest tenth
⇒ 28.86 = 28.9
A cylinder has a radius of 4 meters
and a height of 8 meters. A cone has
a radius of 4 meters and a height of
8 meters. Calculate the volume for
each one.
What does 1/4 equal for a fraction
Answer: 0.25 as a decimal
Answer:
0.25
Step-by-step explanation:
You can think of fractions as smaller increments of money.
2/4=0.5
3/4=0.75
Bob has a dollar bill. He uses 1/4 of it to buy a coupon.
Imagine this happening:
1$
Uses 1/4
So... Let's look at what I've given you.
2/4=0.5
3/4=0.75
Well, let's stretch some things a liiiiitle bit.
Bob has a dollar bill blah blah...
We get to 1/4.
Le's make that 2/4.
2/4 is 0.5
So... By stretching the truth
We can infer that
If we put 1/4 back
(Oh no now the word problem creators are mad at me ;) lol)
Anyways, we can infer that by putting 1/4 back
That since 3/4 is 0.75
Then what's connected to 0.5 and 0.75?
The answer, my friend,
Is 0.25
solve the system of equations using substitution. Be sure to describe your work.
Step-by-step explanation:
using substitution, replace y in 3x+y=-12
3x-2x-7=-12
x-7=-12
x=5
y=-10-17
y=-17
x=5
An ethanol railroad tariff is a fee charge for shipments of ethanol on public railroads. The Agriculture Marketing Service publishes tariff rates for railroad-car shipments of ethanol in the Biofuel Transportation Database. Assuming that the standard deviation of such tariff rates is $1150, determine the probability that the mean tariff rate of 500 randomly selected railroad-car shipments of ethanol will be within $100 of the mean tariff rate of all railroad-car shipments of ethanol.
Answer:
The appropriate response is "0.9476".
Step-by-step explanation:
The given values are:
Standard deviation,
[tex]\sigma=1150[/tex]
Randomly selected railroad-car shipments,
n = 500
As we know,
⇒ [tex]\sigma \bar{x}=\frac{\sigma}{\sqrt{n} }[/tex]
On substituting the values, we get
⇒ [tex]=\frac{1150}{\sqrt{500} }[/tex]
then,
⇒ [tex]=P(-1.94<Z<1.94)[/tex]
⇒ [tex]=P(Z<1.94)-P(Z < -1.94)[/tex]
On using the table of P, we get
⇒ [tex]=0.9738 - 0.0262[/tex]
⇒ [tex]=0.9476[/tex]
After school Rayah skateboards at a constant rate from her house to her friend's house 1.8 miles away. It takes her 12 minutes to get there. Which 2 variable equation represents this situation?
Answer:
Step-by-step explanation:
Given that:
Distance to friends's house = 1.8 miles
Time taken = 12 minutes
Since the rate is constant :
The rate Is related to distance and time :
The two variable equation which represents the equation is :
Speed = Distance / time
A rectangle has a perimeter of 35 1 half feet. If the length is 12 feet, what is the area of the rectangle?
Answer:
The area of the rectangle is 69 feet squared.
Step-by-step explanation:
HELP PLZZZ THIS IS A MAJOR GRADE :((( MARKING BRAINLIEST
Answer:
5.09
Step-by-step explanation:
your welcome...........
solve for x please and thank uou
Answer:
The question is not asked correctly
Step-by-step explanation:
Answer:
x = 9.33
Step-by-step explanation:
7/13 = x/(x+8)
7x + 56 = 13x
6x = 56
x = 9.33
Find the slope of the line that passes through each pair of points. A(1, 3), B(4, 7)
Answer:
Check pdf
Step-by-step explanation:
Find the product of 1/2 * 3 1/4 * 1 1/2.
Please help I'm not really good at these.
Answer:
2 7/16
Step-by-step explanation:
1/2*13/4=13/8
13/8*3/2=39/16
39/16=2 7/16
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
mike rides his horse with a constant speed of 14 km/h. How far can he travel in 3 1/2 hours?
Answer:
126 km/h
Step-by-step explanation:
Sorry if I'm wrong:/
HELP ME ASAP PLEASEEE
Answer:
y=-2x+11
Step-by-step explanation:
Brainliest maybe?
-2(-6) in expanded form
Mark bought 3 packages of grapes.
Each package
weighed į pound.
How many pounds of grapes did
Mark buy?
Answer:
A lot
Step-by-step explanation:
A lot
Answer:
B
Step-by-step explanation:
21/8 = 2.6
2.6 = 3 rounded
“All the survivors I’ve talked to have told me how horrible the experience was. But they have also told me, often with deep puzzlement, how beautiful it was.” What does the excerpt say about survival experiences and how they plays in the into the action of adapting to your situation?
Answer:it says that it was gruesum(i forgot how too spell it) yet beautiful.
Step-by-step explanation:
how is this a mathematical question???
please help me will give a lot of points.
12x + 10 = px + 10
In the given equation, p is a constant. if the equation has exactly one solution, which of the following could NOT be a value of p?
A. 10
B. 11
C. 12
D. 13
pls show work I’m stuck on this question I need help
Explain why 10 divided by 5 =5 divided by 10
Answer:
wrong
Step-by-step explanation:
10 /5 = 2
5/10 = 0.5
f m∠ 4 = 2x° and m∠ 5 = 4x°, what is the value of x?
a. x= 20
b. x = 30
c. x = 60
d. x = 120
Answer:
Step-by-step explanation:
∠5 + ∠4 = 180°
4x° + 2x° = 180°
6x° = 180°
x = 30
what is the value of a1 ?
Answer:
the value of a1 in a geometric series is 12 if i remember correctly.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since dividing any term by the previous term is constant this is a geometric sequence. In this case the common ratio is 18/6=54/18=3 and the first term a1=6
So a1=6 and r=3
A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons per minute. write a linear equation to model this situation. Find the volume of the water in the sink 5 minutes after Baxter begins filling the tank.
Answer:
Equation: y = 8x + 56
After 5 minutes, the volume of the water was 96 gallons
Step-by-step explanation:
Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.
Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.
There are already 56 gallons of water in the tank, so b will be 56.
Plug in these values into the equation:
y = 8x + 56
So, the linear equation is y = 8x + 56
Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:
y = 8x + 56
y = 8(5) + 56
y = 40 + 56
y = 96
So, after 5 minutes, the volume of the water was 96 gallons
Find this area
A) 492.5ft2
B) 508.2ft2
C) 515.3ft2
D)551.6ft2