Two expressions are equivalent if we can arrange one of them in order to match the other. If we evaluate the two expressions for certain values in the input, we must get the same value in the output. In this exercise, we have the following expression:
[tex]a-2.87[/tex]
There are infinitely many equivalent expressions. We can write some of them:
[tex]\bullet \ 2a-a-2.87 \\ \\ \bullet \ a-1-1.87 \\ \\ \bullet \ 5a-4a-5.87+3[/tex]
Because when simplifying these expressions we get:
[tex]a-2.87[/tex]
The price of a bike went down by $150. The new price is $475. Which expression shows the price of the bike before the sale?
Answer:
475+150=Price before sale
Step-by-step explanation:
Answer:
$475+$150 =$525. 525 is the total price before the sale
what is x to the power of two over three in parenthesis to the power of five over two
Answer:
[tex]x^{\frac{5}{3} }[/tex]
Step-by-step explanation:
You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]
What is the answer .08(7.97+v)=0.833
Answer: V=-6.9325 or V=-6.93
Step-by-step explanation:
0.8(7.97+v)=0.833
6.376+0.8v=0.833
-6.379 -6.379
0.8v=-5.546
divide both sides by 0.8 to get v by itself
v=-6.9325
rounded up can get you
v= -6.93
please give brainliest!
A 5-foot piece of copper wire costs $24.60. What is the price per inch?
Answer: 41 cents
Step-by-step explanation:
$24.6/60inches=.41 cents
5*12=60in
Find
196
O A) 14
OB) 13
OC) 17
OD 15
What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12
The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]
Explanation:
The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]
To determine the solution of the equation, let us solve the equations by elimination method.
Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]
Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]
Adding these two equations, we have,
[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]
Dividing both sides by 23, we have,
[tex]\frac{23x}{23} =\frac{46}{23}[/tex]
[tex]x=-2[/tex]
Thus, the value of x is [tex]x=-2[/tex]
Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,
[tex]4 (-2)+5 y=7[/tex]
[tex]-8+5 y=7[/tex]
[tex]5y=15[/tex]
[tex]y=3[/tex]
Thus, the value of y is [tex]y=3[/tex]
Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]
The solution to the system of equations, is: (-2, 3).
Solution to System of EquationsTo find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.
Given:
4x + 5y = 7 --> Eqn. 13x – 2y = –12 --> Eqn. 2Multiply eqn. 1 by 3 and eqn. 2 by 4:
12x + 15y = 21 --> Eqn. 1
12x – 8y = –48 --> Eqn. 2
Subtract:23y = 69
Divide both sides by 23y = 3
Substitute y = 3 into eqn. 1.
4x + 5(3) = 7
4x + 15 = 7
4x = 7 - 15
4x = -8
x = -2
Therefore, the solution to the system of equations, is: (-2, 3).
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Lashonda bought a suit on sale for $603. This price was 33% less than the original price.
Answer:
$404.01 dollars
Step-by-step explanation:
603*33%=198.99
600-198.99=$404.01
MARK BRAINLIEST
Answer:
The suit costs $401.01
Step-by-step explanation:
$603.00 x .33 = $198.99
600.00 - 198.99 = 401.01
Simplify this algebraic expression completely 9x-6(x+4)
Step-by-step explanation:
9x-6(x+4)
9x-6x-24
3x-24
Answer: 3x-24
Step-by-step explanation:
Teds car is now worth 9000 which is 60% of what he paid for it . What did he pay for his car
Answer:? 5,400.
Step-by-step explanation:
I need help on these 2 questions. Algebra 1
Answer:
7. is G
8. f(4)=-120
Step-by-step explanation:
7. les do f(0)=4 since its the easiest
F. f(0)=0.4(0+5)(0-2)
0.4*-2*5=-4 NOT IT. the ans. is +
G. f(0)=-0.4(0+5)(0-2)
-0.4*-2*5=4 YESSSSSS
H. f(0)=-0.4(0-5)(0+2)
-0.4*2*-5=4 YESSSSSS
J. f(0)=0.4(0-5)(0+2)
0.4*2*-5=-4 NOT ITTTT
so G n H
Put both equation=0
G. 0=-0.4(x+5)(x-2)
x=-5,2 YASSSS this is the ans.
(a) How would you characterize the relationship between the hours spent on homework and the test scores (Positive or Negative, Linear or Non-Linear)? Explain.
(b) Paul used the function y= 8x + 40 to model the situation. What score does the model predict for 4 hours of homework?
(c) What does the number 40 in Part (b) mean in the context of the situation?
Please don’t answer if you are guessing. Answer if you really know the answer. And if you don’t understand the three questions, answer the ones you do know.
Answer:
a) Positive linear
b) 72
c) Marks scored when no time is spend on homework.
Step-by-step explanation:
a) relationship between the hours spent on homework and the test scores
As the time spent on homework increases the test score increases.
Similarly if less time is spent on homework, there would be a decrease in test score.
The two variables are directly related.
Thus, there relationship can be expressed as a positive linear relationship.
b) The model function
[tex]y= 8x + 40[/tex]
where y is the test score and x is the time spent on homework in hours.
Score predicted by model when x = 4
[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]
Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.
c) Interpretation of 40
When x = 0
[tex]y(0)= 8(0) + 40 = 40[/tex]
Interpretation:
Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.
In the diagram, ABC = AWRS. What is the perimeter of
AWRS?
10 units
11 units
12 units
13 units
There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.
Answer:
the answer is c
Step-by-step explanation:
I just did this
a. At the beginning of the year, Addison Company’s assets are $300,000 and its equity is $100,000. During the year, assets increase $80,000 and liabilities increase $50,000. What is the equity at year-end?
Equity at the end of the year = $130,000
Step-by-step explanation:
Step 1:
Given ,
Asset of the company at beginning of year = $300,000
Equity of the company at beginning of year = $100,000
Increase of the assets during the year = $80,000
Increase of the liabilities during the year = $50,000
We need to find the equity at the year end.
Step 2 :
The equity at any point can be obtained by using the formula
equity = assets - liability
At the beginning of the year ,
100,000 = 300,000 - liability
So liability = 300,000 - 100,000 = 200,000
Step 3 :
During the year, assets increase $80,000 and liabilities increase $50,000
So assets at the year end = 300,000 + 80,000 = $380,000
liabilities at the year end = 200,000 + 50,000 = $250,000
Therefore
Equity at the year end = 380,000 - 250,000 = $130,000
Step 4 :
Answer :
Equity at the year end = $130,000
What does the x represent?
a.diameter
b. central angle
c. arc
What are the solutions to the quadratic equation 3(x – 4)2 = 75?
x= -9 and x = 1
x= -5 and x = 5
x = -4 and x = 4
x= -1 and x = 9
Answer:
x = -1 and x = 9.
Step-by-step explanation:
3(x – 4)^2 = 75
(x - 4)^2 = 75/3 = 25
Taking square roots of both sides:
x - 4 = +/- 5
x = -5+4 and 5 + 4
x = -1 and 9.
Answer:
d
Step-by-step explanation:
test
Plz help asap!!! Will give brainliest!!!
For a fund raising campaign, a club has a choice of buying products for $20 plus 50% of the sales or $100 plus 25% of the sales. For what level of sales would the club have to pay the same total with either deal
a: $3.20
b: $117
c: $320
d: $480
Answer:
C $320
Step-by-step explanation:
write equations for the two possible choices
situation 1:
y₁ = 20 + 0.5x, where y is the total price the club pays and x is the sales
** note i use 0.5 instead of 50, since 50 would represent 5000%
y₂ = 100 + 0.25x, where y is the total price the club pays and x is the sales
now set the two equations equal to each other
20 + 0.5x = 100 + 0.25x
isolate x by subtracting 0.25x and 20 from each side
20 + 0.5x - 0.25x - 20 = 100 + 0.25x -0.25x -20
0.25x = 80
divide both sides by 0.25
[tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{80}{0.25}[/tex]
x = 320
How do i write the decimal of 214.013 in words?
two hundred fourteen and thirteen thousandths
Answer: two hundred fourteen and thirteen thousandths
Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.
I really need help but I keep getting my question taken down. Please help.
2. Draw a right triangle with side lengths of 3, 4, and 5 units (cm or inches – your choice). Make sure to label all parts including side lengths, vertices, and the right angle. You may insert an actual picture of your drawing below or upload the picture in the Unit 2 TGA submission area.
Answer:
See the figure attached.Explanation:
In a right triangle the longest side is the hypotenuse. In this case the length is 5 units.
The hypotenuse is opposite to the right angle.
You must draw a small square inside the right angle. In the figure the right angle is labeled C.
The other two sides are the legs: in this case their lengths are 3units and 4 units.
The side with the shortest length is opposite to the smallest angle; the side with the intermediate length is opposite to the angle with the intermediate measure.
The vertices are marked with capital letters. I used A, B, and C.
With this explanation you can understand the figure attached and build one on your own.
Answer:
My options of triangles
What number is 0.01 less than 24
1. Find the kinetic energy of a ball moving at 45 m/s with a mass of 0.18kg.
Answer:
182.25 J
Step-by-step explanation:
KE = (0.5)*m*v^2
KE = (0.5)*(0.18 kg)*(45 m/s)^2
KE = 182.25 Joules
Hope this helps!
Final answer:
The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.
Explanation:
The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.
KE = (1/2) imes 0.18 kg imes (45 m/s)²
= 0.09 kg imes 2025 (m/s)²
= 182.25 joules
Therefore, the kinetic energy of the ball is 182.25 joules.
The bus charged $4.50 for a ride plus $1.25 per mile. How many complete miles could Frank travel for $20?
Answer: Frank could travel about 4 miles
Step-by-step explanation:
Hey There!
The answer you are looking for is;
12 Miles!
Explanation:
First you subtract $4.50 from $20.
= $15.50
Then every mile after that is subtracting $1.25
We can divide $15.50 by $1.25
= 12.4
Since the question is asking how many COMPLETE miles Frank could travel, you do not include the decimal.
= 12 miles.
Hope I helped! Please rate 5 Stars & Mark Brainliest!
what is the area of this star?
Answer:
9.45cm^2
Step-by-step explanation:
1.5*1.5=2.25
A=BH/2
2.4*1.5/2=1.8
1.8*4=7.2
7.2+2.25=9.45
Answer:
Step-by-step explanation:
2.4 x 1.5/2 to get the area of the triangle
so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do
1.8 x 4= 7.2
and the middle part is 1.5 x 1.5 which is 2.25
and do 7.2 plus 2.25 which is 9.45cm
1. Juan paid $2.52 for 12 ounces of peanuts
What is the unit rate?
P.S I’m in 6th grade and I need to know if I got this right please!!
Answer:
$0.21
Step-by-step explanation:
2.52/12
Vhich graph represents the function f(x) = x2 + 5?
Answer:
I would say Graph 2 because if its showing f(x)=x2+5
there are no negatives in this equation, so I think it is graph 2
The graph of the function is attached to the solution.
The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,
Since, there is no negative sign so, the parabola will be opened up,
Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.
So, the graph will be an upward opened parabola with its vertex at (0, 5)
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In ΔABC, if AB = 14 and BC = 9, AC may be equal to
Answer:
AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Step-by-step explanation:
There is a fact in any triangle:
The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides
If the lengths of the three sides of a triangle are a , b and c, then
a - b < c < a + bb - c < a < b + ca - c < b < a + cIn Δ ABC:
→ (BC) - (AC) < AB < (BC) + (AC)
→ (AB) - (AC) < BC < (AB) + (AC)
→ (AB) - (BC) < AC < (AB) + (BC)
∵ AB = 14 units
∵ BC = 9 units
- Find the sum and difference of them
∵ AB - BC = 14 - 9
∴ AB - BC = 5
∵ AB + BC = 14 + 9
∴ AB + BC = 23
- That means the length of AC could be any integer greater
than 5 and smaller than 23
∴ 5 < AC < 23
AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Answer:
Answer = 13
Step-by-step explanation:
A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%, how much does she have in each account?
Answer:
The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Step-by-step explanation:
We are given the following in the question:
Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.
The woman invested has three times as much invested at 7% as she does at 6%.
Thus, we can write the equation:
[tex]x = 3y[/tex]
The total interest is $1,350.
Thus, we can write the equation:
[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]
Solving the two equations by substitution method:
[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]
Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Helpppp How do y’all do this
8^(x+2)÷2^(x+2)=4⁶
4^(x+2)=4⁶
x+2=6
x=4
Answer:
x=4
Step-by-step explanation:
8^(x+2)÷2^(x+2)=4⁶
4^(x+2)=4⁶
x+2=6
x=4
A set of ordered pairs is called a _______. A. domain B. function C. range D. relation
A set of ordered pair is called a relation.
The correct option is D). Relation.
What is relation?A collection of ordered pairs having one item from each set makes up a relation between two sets.
Any collection of ordered pairs is a relation.
The domain is the collection of all initial components of ordered pairs.
The range is the collection of all second components.
Tables, collections, equations with two variables, and graphs can all be used to depict relations.
And the function is a special type of relation.
Therefore, the blank word is relation.
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Final answer:
A set of ordered pairs is called a relation. Relations include all possible mappings of pairs, while a function is a specific type of relation where each input is paired with only one output. The correct answer is option (D).
Explanation:
A set of ordered pairs is called a relation. For example, if we have two sets A and B represented by ordered pairs, the domain of set A would be the set of all the first elements, and the range of set A would be the set of all the second elements.
It's important to note that a function is a specific type of relation where each element of the domain is associated with a unique element of the range, which means that each input (or argument) is mapped to exactly one output (or value).
what is the focus of the parabola
[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]
enter your answer in the Box
I've seen so many wrong answers and I got it wrong on my quiz
answer: (-4,1)
Answer:
(-4,1)
Step-by-step explanation:
The given parabola is
[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]
When we rewrite in vertex form, we get;
[tex]y = - \frac{1}{4} {(x + 4)}^{2} + 2[/tex]
Or
[tex]{(x + 4)}^{2} = - 4( y - 2)[/tex]
When we compare to:
[tex]{(x - h)}^{2} = 4p( y - k)[/tex]
We have 4p=-4
This means p=-1
But the vertex is at:
(-4,2)
Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.
Hence the focus is (-4,1)
Eva is saving money for a trip. She is able to save $52 a week. Her friend from Japan, Ryu,is also saving money. Ryu is able to save 5500 yen(Japanese money) each week. If $4 is equal to about 440 yen, who is saving at a greater rate?
Answer:
Eva
Step-by-step explanation:
If 4 dollar = 440 yen
Therefore, 1 dollar = (440 ÷ 4) yen
1 dollar = 110 yen
As Eva is saving 52 dollars per week, and Ryu is saving 5,500 yen per week, we have to convert dollar into yen to find who has saved more.
1 dollar = 110 yen
52 dollar = (52 × 110) = 5720 yen
It means Eva is saving 52 dollar which is equivalent to 5,700 yens. It is more than Ryu's saving account.