simplify 0.4(5−2.5a)
Answers
Answer:
2 - a
Step-by-step explanation:
Our equation :
0.4(5 - 2.5a)
Distribute the 0.4 :
(5(0.4) - 2.5a(0.4))
2 - a
Related Questions
Find the length of an arc of a circle whose circumference is 832.38 cm and the centralangle is 333°. Round your answer to the nearest tenth.
Answers
Given:
Circumference of the circle = 832.38 cm
Central angle = 333°
Let's find the length of the arc of the circle.
To find the length of the arc, apply the formula below:
\(\text{Length of arc = }\frac{\theta}{360}\ast2\pi r\)Where:
θ = 333°
2πr = circumference = 832.38 cm
Thus, we have:
\(\text{Length of arc = }\frac{333}{360}\ast832.38\)Solving further:
\(\begin{gathered} \text{Length of arc = }0.925\ast832.38 \\ \\ \text{Length of arc = }769.95\text{ cm}\approx770.0\text{ cm} \end{gathered}\)Therefore, the length of the arc of the circle to the nearest tenth is 770.0 cm
ANSWER:
770.0 cm
Donte is planning on repairing bikes and skateboards to save up money for
college. He can repair up to 2 bikes per day and 4 skateboards per day. If b
represents the number of bikes and s represents the number of
skateboards, write the expression that represents the total number of
things Donte can repair in a single day. *
Answers
Answer:
y=2b+4s
Step-by-step explanation:
(3,4) m=0
Formula
Y-y=m(x-x1)
Answers
Answer:
\(y1 = 4 \\ x1 = 3\)
\(y - y1 = m(x - x1)\)
\(y - 4 = 0(x - 3)\)
\(y - 4 = 0\)
\(y = 4\)
Find the measure of angle A.
60x
O 60°
O 30°
O 23°
O 37°
30x
A
Answers
Answer:
Step-by-step explanation:
sum of angles in a triangle=180º
90+60x+30x=180
90+90x=180
90(1+x)=180
1+x=2
x=1
angle A=30º
What is 3.4 divided by 10?
Answers
Answer:0.34 or .34
Step-by-step explanation:
find the inverse of each function
Answers
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm of the shirt.
How much thread does Kira get ?
Answers
Answer:
1617 cm of thread.
Step-by-step explanation:
We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:
231 cm thread / 1 cm shirt
they tell us that she managed to remove 7 cm of shirt, therefore:
7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread
Therefore Kira obtained 1617 cm of thread.
Answer:
Kira gets 1,617
Step-by-step explanation:
In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U
Understanding functions
Answers
Using the given graph, the function table that is completed would be:
Input Output
-9 1
-5 1
-2 1
How to Solve Functions Using a Graph?A function is graphed by plotting the input values on the x-axis against the output values on the y-axis. This means all input values are on the x-axis, and their corresponding output values are on the y-axis.
To find the output value when an input value is given as 4, we need to trace the output value that corresponds to x = 4 on the graph.
Using the graph in the diagram, we know the following:
When the input value is x = -9, the output value is y = 1.
When the input value is x = -5, the output value is y = 1.
When the input value is x = -2, the output value is also y = 1.
The complete function table would be:
Input Output
-9 1
-5 1
-2 1
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Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
Answers
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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a. Which of the expressions have like terms?
b. Explain why the other expressions do not have like terms.
Question content area bottom
Part 1
a. Select all that apply.
A.
xyxy
B.
p
C.
mmm
D.
mmn
E.
ttt
F.
yx
Answers
The expressions given that have like terms are:
A. 5.4xy - 8.6xy
C. -2/3m + 6m + m
E. 5.25t + 6.75t - t
What are Like Terms?Like terms are terms that have the same variable raised to the same power.
For example, 2x and 3x are like terms because they both have the variable x raised to the first power. Similarly, 4x² and 5x² are like terms because they both have the variable x raised to the second power.
Therefore, the expressions that are like terms are:
A. 5.4xy - 8.6xy
C. -2/3m + 6m + m
E. 5.25t + 6.75t - t
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Sofia proposes that the class decompose the bench into rectangular prisms, calculating the volume of each prism, and then adding up the volumes. Use Sofia’s strategy to determine the volume of the bench.
Answers
Using Sofia's strategy, the volume of the bench is calculated as: 1.404 cubic meter.
Note the following:
The bench is shown in the diagram attached below. The bench is made up of several cubes.1 cube has a side length of is 0.3 meters.Volume of rectangular prism = \(l \times h \times w\)To find the volume of the bench, we would decompose the bench into three rectangular prisms (Sofia's Strategy).
The first rectangular prism has:
length (l) = 1.2 m (4 cubes long)height (h) = 0.6 m (2 cubes high)width (w) = 1.2 m (4 cubes wide)Volume of the first rectangular prism = \(1.2 \times 0.6 \times 1.2 = 0.864 $ m^3\)
The Second rectangular prism has:
length (l) = 0.6 m (2 cubes long)height (h) = 0.6 m (2 cubes high)width (w) = 0.3 m (1 cube wide)Volume of the first rectangular prism = \(0.6 \times 0.6 \times 0.3 = 0.108 $ m^3\)
The Third rectangular prism has:
length (l) = 1.2 m (4 cubes long)height (h) = 0.6 m (2 cubes high)width (w) = 0.6 m (2 cubes wide)Volume of the first rectangular prism = \(1.2 \times 0.6 \times 0.6 = 0.432 $ m^3\)
Volume of the bench will be: 0.864 + 0.108 + 0.432 = 1.404 cubic meter.
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A child puts toys into two partially filled bins. Bin 1 currently weighs 12 pounds and increases in weight by 1.5 pounds for each toy the child adds to the bin. Bin 2 currently weighs 10 pounds and increases in weight by 2 pounds for each toy the child adds to the bin. Which statement is true? Responses
Answers
The correct response is that statement 2 is true.
Define the term statement?A statement is a declarative sentence that can be either true or false, but not both.
Let's start by defining some variables:
Let x be the number of toys added to bin 1.
Let y be the number of toys added to bin 2.
Using this information,
For bin 1, the weight is given by: 12 + 1.5x
For bin 2, the weight is given by: 10 + 2y
Now we can examine the statements:
Statement 1: The weight of bin 2 will be greater than the weight of bin 1 if the same amount of toys are added to each bin.
This statement is not necessarily true. It depends on the number of toys added to each bin.
If x = y, then we can compare the weights directly: 12 + 1.5x vs. 10 + 2y. Simplifying, we get 12 + 1.5x = 10 + 2y, which rearranges to 1.5x - 2y = -2. If x = y = 1, for example, then bin 1 will weigh 13.5 pounds and bin 2 will weigh 12 pounds, so the statement is false.
Statement 2: Bin 2 gains greater weight than bin 1 for each toy added.
This statement is true. We can compare the weight gained per toy for each bin. Bin 1 gains 1.5 pounds per toy, while bin 2 gains 2 pounds per toy. Since 2 > 1.5, statement 2 is true.
Therefore, the correct response is that statement 2 is true.
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What is the lateral and total surface area of the lrism solve for both
Answers
Explanation
Step 1
the lateral are is compounded by rectangles 1, 2, 3, and 4
\(\begin{gathered} \text{lateral are=(13 }\cdot6)+(6\cdot14)+(13\cdot6)+(14\cdot6) \\ \text{lateral area=}78+84+78+84 \\ \text{lateral area=324 mm}^2 \end{gathered}\)Step2
the total area,
add rectangles 5 and 6 to get the total area
\(\begin{gathered} total\text{ area=324 mm}^2+(13\cdot4)+(13\cdot4) \\ total\text{ area=324 mm}^2+52+52 \\ totalarea=428mm^2 \end{gathered}\)
Please help me I need these ASAP. I'll mark as brilliant!
make c the subject: (a+c)^2=t
make x the subject: p=3(y+2x)^2
Answers
\((a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a\)
\(p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} \)
Write the equation of a line that goes through the point ( 2, - 2 ) and is parallel to the line y = 2x - 11.
Answers
We will have that the equation will be:
\(\begin{gathered} y-(-2)=2(x-2)\Rightarrow y+2=2x-4 \\ \\ \Rightarrow y=2x-6 \end{gathered}\)So, the equation of that line is:
\(y=2x-6\)The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answers
Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
What is the answer and can you please show your work. Tysm for your help!
Answers
Answer: XY=21 YZ=29
Step-by-step explanation: okay so the entire line (XZ) is equal to 50, and its made up of a and a + 8. So you can make an equation out of that.
a+a+8=50
2a+8=50
2a=42
a=21
then you just have XY equal 21, and YZ equal 21+8 or 29.
Answer:
XY = 21
YZ = 29
Step-by-step explanation:
XZ = 50
XY = a
YZ = a + 8
XY + YZ = XZ
a + (a + 8) = 50
2a + 8 = 50
2a = 50 - 8
2a = 42
a = 42 ÷ 2
= 21
hope this helps
What function is the inverse of the exponential function y = 3^x?
Answers
x=3y
solve x=3y for y
if f(x) = g(x),then in(f(x)).
in(x)= yin(3)
y= in(x) / in(3)
I think of a number multiply by 3 add 4 and square the result
Answers
(x × 3 + 4)^2
Explanation: The ^2 is to the power of. Please mark Brainliest!
Which statement accurately describes the reactants of a reaction?
new substances that are present at the end of a reaction
substances that do not participate in a reaction
new substances formed in the reaction
substances that are used up in a reaction
Answers
Answer:
substances that are used up in a reaction
Step-by-step explanation:
sorry this is so late
Answer:
substances that are used up in a reaction
Step-by-step explanation:
took the test got 100%
the graph of f(x)=-1/x+4 is increasing through which interval?
Answers
The interval through which the graph of f(x) = -1/(x + 4) is increasing is given as follows:
No intervals.
How to obtain the interval through which the graph of the function is increasing?The function for this problem is defined as follows:
f(x) = -1/(x + 4).
The derivative of the function is defined as follows:
f'(x) = -1/(x + 4)².
The function is increasing if the first derivative is positive.
However, the first derivative is composed by a fraction on which the numerator is negative while the denominator is always positive, hence the derivative is always negative and thus the function is never increasing.
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Last month you spent 40$ on clothing. This month you spend 160% of what you spent last month. Set up a percent equation to model this situation. How much did you spend this month.
Choose correct answer below
A. 160%=percent•40
B. part=160%•40
C. 40=160%•whole
Answers
Answer:
part = 160% *40
Step-by-step explanation: I say this because the question asks how much you spent this month. This month you 160% OF WHAT you spent last month so 160% * 40 = what you spent this month
please help please...
Answers
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
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D degrees warmer than 50 degrees is 78 degrees
Answers
Answer:
28
Step-by-step explanation:
Translate words into math -- "warmer" means +, "is" means =
So D + 50 = 78
D = 78 - 50
D = 28
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
Answers
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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what is the answer? pls help
Answers
Answer:
-2
Step-by-step explanation:
The formula for finding the slope is y2-y1 divided by x2-x1. You can use any two points.
So,
220-240 divided by 10-0= -20/10= -2
Hope this helps!!!
Write the following numbers in expanded form. a. 843604 b. 7003678 c. 90094
Answers
Step-by-step explanation:
Write the following numbers in expanded form and exponential form a. 4081673 b.561827 c.892 d.3848 e. 777320916
We need to write in expanded form and exponential form. So
1. 4081673 = 4000000 + 0 + 80000 + 1000 + 600 + 70 + 3
= 4 x 10^6 + 0 + 8 x 10^4 + 1 x 10^3 + 6 x 10^2 + 7 x 10^1 + 3 x 10^0
2. 561872 = 500000 + 60000 + 1000 + 800 + 70 + 2
= 5 x 10^5 + 6 x 10^4 + 1 x 10^3 + 8 x 10^2 + 7 x 10^1 + 2 x 10^0
3. 892 = 800 + 90 + 2
= 8 x 10^2 + 9 x 10^1 + 2 x 10^0
4. 3848 = 3000 + 800 + 40 + 8
= 3 x 10^3 + 8 x 10^2 + 4 x 10^1 + 8 x 10^0
5. 777320916 = 700000000 + 70000000 + 7000000 + 300000 + 20000 + 0 + 900 + 10 + 6
= 7 x 10^8 + 7 x 10^7 + 7 x 10^6 + 3 x 10^5 + 2 x 10^4 + 0 + 9 x 10^2 + 1 x 10^1 + 6 x 10^0
~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~
Answers
Answer:
15 dollers per hour
Step-by-step explanation:
HOPE THIS HELPS!
BRAINLIST?????
Answer:
The fixed cost is 15 dollars an hour.
Step-by-step explanation:
At zero hours it is 15 dollars so y=5x+15
After each hour the price goes up by 5 dollars so it is 5 dollars an hour.
Please find the square root. Round your answer to the nearest thenth.√121=
Answers
Explanation
Step 1
A square root of a number is a value that, when multiplied by itself, gives the number.
hence, we need to find a value(s) that when multiplied by itself gives 121,so
\(\sqrt[]{121}=\pm11\)because
\(\begin{gathered} 11\cdot11=121 \\ or \\ -11\cdot-11=121 \end{gathered}\)I hope this helps you
please help what is 4/8 divided by 4/20
Answers
Hope this helps!!!!
Answer:
The correct answer is 2 and 1/2 or 5/2