Answer:
y - 0.5x
Step-by-step explanation:
Given that the dog eats the same amount of food each day and on day 3, the available quantity of food
= 12 pounds
On day 7 (4 days after), the available quantity of food is 10 pounds. The difference in the amount of food in 4 days
= 12 - 10
= 2 pounds
This means that each day, the amount of food eaten by the dog in one day
= 2/4
= 0.5 pound
Hence the amount of dog food in the bag y for any day after opening the dog food x will be given as
= y - 0.5x
find the value for f(x) = 22
Answer:
Step-by-step explanation:
Another way to solve would be to distribute first:
22 = 2(x + 6)
22 = 2x + 12
Subtract 12:
22 - 12 = 2x - 12
10 = 2x
Divide by 2:
10 / 2 = 2x / 2
5 = x
A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 2t + 9, s(0) = 0, s(1) = 20
Answer:
Position of the particle is 20.
Step-by-step explanation:
Position function is integration of velocity function.
Velocity function is integration of acceleration function.
So, let's integrate the given a(t) to get v(t)
If we integrate v(t) then we get s(t)
It is given the values of s(0) =0 and s(1)=20
So, position of the particle is difference of 20, 0. That's 20-0 =20.
The density of hydrogen is approximately 9 × 10-5 , while the density of helium is approximately 2 × 10-4 .
Answer:
Two times the density of hydrogen = 18 x 10^-5
Step-by-step explanation: Two times the density of hydrogen = 18 x 10^-5 is ALMOST 20 x 10^-5 or 2 x 10^-4
SO the first statement is correct.
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
Which is the best reason why step 1 is a good first step in the solution shown?
Math item stem image
CLEAR CHECK
Multiplying by 3 isolates x on one side of the equation.
3 is a factor of 12.
The same thing was done to both sides of the equation.
Multiplying by 3 is easier than subtracting 12.
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Step-by-step explanation:
Let's think about how we can solve for ttt in the following equation:
\qquad 6t = 546t=546, t, equals, 54
We want to get ttt by itself on the left hand side of the equation. So, what can we do to undo multiplying by 6?
We should divide by 6 because the inverse operation of multiplication is division!
Here's how dividing by 6 on each side looks:
\begin{aligned} 6t &= 54 \\\\ \dfrac{6t}{\blueD{6}} &= \dfrac{54}{\blueD{ 6}}~~~~~~~~~~\small\gray{\text{Divide each side by six.}} \\\\ t &= \greenD{9}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}6t66tt=54=654 Divide each side by six.=9 Simplify.
Let's check our work.
It's always a good idea to check our solution in the original equation to make sure we didn't make any mistakes:
\qquad \begin{aligned} 6t &= 54 \\ 6 \cdot \greenD9 &\stackrel{\large?}{=} 54\\ 54 &= 54 \end{aligned}6t6⋅954=54=?54=54
Yes, t = \greenD{9}t=9t, equals, start color #1fab54, 9, end color #1fab54 is a solution!
Solving a division equation using inverse operations
Now, let's try to solve a slightly different type of equation:
\qquad \dfrac x5 = 75x=7start fraction, x, divided by, 5, end fraction, equals, 7
We want to get xxx by itself on the left hand side of the equation. So, what can we do to cancel out dividing by 5?
We can multiply by 5 because the inverse operation of division is multiplication!
Here's how multiplying by 5 on each side looks:
\begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac x5 \cdot \blueD{5} &= 7 \cdot \blueD{5}~~~~~~~~~~\small\gray{\text{Multiply each side by five.}} \\\\ x &= \greenD{35}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}5x5x⋅5x=7=7⋅5 Multiply each side by five.=35 Simplify.
Let's check our work.
\qquad \begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac{\greenD{35}}{5} &\stackrel{\large?}{=} 7\\\\ 7 &= 7 \end{aligned}5x5357
Answer:
WHAT THE #### WHAT IS THEIS
Step-by-step explanation:
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:
HELP ME ASAP PLEASEEE
Answer:
y=-2x+11
Step-by-step explanation:
Brainliest maybe?
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 is this question?
What is the answer please + explanation
Answer:
86π
Step-by-step explanation:
A=2πrh+2πr2
A=2π*16+2π*4*7
A=32π+54π
A=86π
Hope this helps :)
Please help me solve this problem using PEMDAS
Answer:
205
Step-by-step explanation:
...........................
which number will make the two fractions equivalent 10/38 =
5/?
Answer:
5/19
Step-by-step explanation:
You just divide the nominator and denominator 10/38 by 2
Answer:
19
Step-by-step explanation:
Find this area
A) 492.5ft2
B) 508.2ft2
C) 515.3ft2
D)551.6ft2
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
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
Which is an example of a quadratic function whose axis of symmetry is to the right of the y-axis?
A. y=-x2 - 2x + 1
Answer:
a.
Step-by-step explanation:
imagine a graph that you see, the x-axis has to be positive for it to be on the right side of the y-axis so the value of the y axis can be positive or negative and then you substitute for a positive number, in this case, into the x axis and then you would solve for every answer choice to see if it's right or not if it is accurate.
HELP PLZZZ THIS IS A MAJOR GRADE :((( MARKING BRAINLIEST
Answer:
5.09
Step-by-step explanation:
your welcome...........
WHATS THE ANSWER TO THISSS??
pls answer! WILL MARK BRAINLIST
Answer: The answer is C
Step-by-step explanation: I had the same question and got it right on my test
Which of these is not the line y = x?
1) y - x = 0
2) x + y = 0
3) 3x = 3y
4) y = x + 0
1) Determine the quotient: 2 4/7 ÷ 1 3/6. * A.27/7
B.3
C.1 5/7
D.1 7/13
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
Mr. Negron purchased brand new jerseys for the Hamilton High School basketball team. He paid $6.40 for each jersey as well as a shipping fee of $6.99. If his total invoice read $64.59, which equation could be used to find x, the number of jerseys he purchased?
If P M L ~ T R Q; find QR
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:/
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
Learn more about functions here:
brainly.com/question/28533782
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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
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 .
More about the Algebra link is given below.
brainly.com/question/953809
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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:
The total cost C dollars, that a shop charges to print T shirts C = 45 + 7n , is the number of shirts ordered. Coach Dell paid 206 fo order T the track team, How Tshirts did Coach Dell order?
Answer:
i think the answer is 23
Step-by-step explanation:
well the equation says c=45+7n so the total cost is 206 . i subtracted 45 from 206 leaving me with 161 then i divided that by 7 leaving me with 23
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total cost of n T-shirt is C = 45 + 7n.
The number of T-shirt coach Dell ordered for the team is 23 T-shirts.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total cost:
C = 45 + 7n
n = number of shirts.
Now,
Dell paid $206.
This means,
206 = 45 + 7n
Subtract 45 on both sides.
206 - 45 = 7n
161 = 7n
Divide both sides by 7.
n = 161/7
n = 23
The number of shirts is 23 if the cost of the paid is $206.
Thus,
The number of T-shirt coach Dell ordered for the team is 23 T-shirts.
Learn more about expressions here:
https://brainly.com/question/3118662
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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: