The car that is speeding up is car A.
The car that is slowing down is car C.
The car that is maintaining a constant speed is car B.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
From the graph, we see that,
Car A speed is increasing with time.
Car B is maintaining a constant speed with time.
Car C is decreasing its speed with time.
Thus,
Car A is speeding up.
Car C is slowing down
Car B is maintaining a constant speed.
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Answer:
Step-by-step explanation:
Select the correct answer.
A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?
A.
3.71 × 10-4 kilograms
B.
3.71 × 10-3 kilograms
C.
37.1 × 10-3 kilograms
D.
37.1 × 10-4 kilograms
Answer:
D) [tex]37.1\times 10^{-4} \ \textsf{kilograms}[/tex]
Step-by-step explanation:
[tex]7.42 \times 10^{-10} \times5 \times 10^6[/tex]
[tex]\implies 7.42 \times 5 \times 10^{-10} \times 10^6[/tex]
[tex]\implies 37.1\times 10^{-10} \times 10^6[/tex]
[tex]\implies 37.1\times 10^{-10+6}[/tex]
[tex]\implies 37.1\times 10^{-4}[/tex]
Joni bought 35 books at a price of Rp. 122,500. Toni bought the same 24 books as that Joni bought. How much did Toni pay for the book?
Answer:
Rs.84,000Step-by-step explanation:
Given,
Cost of 35 books Joni bought = Rs. 122,500
So,
Cost of 1 book = [tex]\frac{Rs. 122,500}{35}[/tex]
Now,
Same no. of books that Toni bought = 24
So, cost of 24 books
= [tex]\frac{Rs. 122,500}{35}[/tex] × 24
[On Simplifying]= Rs. 3500 × 24
= Rs. 84,000
Hence,
Cost of same amount of 24 books bought by Toni is Rs.84,000 (Ans)
help me..........................
Answer:
c
hopefully this will help you
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 9\ cm}\end{picture}[/tex]
Given :[tex] \\ [/tex]
Radius of circle = 9cmπ = 314[tex] \\ [/tex]
To find:[tex] \\ [/tex]
Area of circle[tex] \\ [/tex]
Solution:[tex] \\ [/tex]
We know:-
[tex] \bigstar \boxed{ \rm Area \: of \: circle = \pi {r}^{2} }[/tex]
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf Area \: of \: circle = 314 \times {9}^{2}[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area \: of \: circle = 314 \times 9 \times 9 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area \: of \: circle = 314 \times 81 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area \: of \: circle = 25434 \: unit^2\\ [/tex]
[tex] \\ \\ [/tex]
.°. Option D is correct
A ___of Equation is___or more equations. A____is the _____that makes all equations_____.
Answer:
A system of equations is two or more equations.
An ordered paid is the solution that makes all equations true.
Consistent Independent
Intersects at 1 pointOne solutionInconsistent
Parallel linesNo solutionsConsistent Dependent
Same lineInfinite solutionsAnswer the question below
Answer:
72%
Step-by-step explanation:
1. 53 - 30 = 23 ( under 35 years old plan to go hiking)
2. 23 + 9 = 32 (under 35 years old Total)
3. 83 - 32 = 51 ( 35 years old or over Total)
4. 51 - 30 = 21 ( 35 years old or over Do not plan to go hiking)
5. Total visitors under 35 years old = 32
visitors under 35 years old plan to go on hiking = 23
percentage = (23/32)*100 = 71.8 = 72% approx
the total is given by the addition of the people less than 35 years and those greater than 35 years so:
QUESTION 1:
x+30=53
x=53-30
x=23
QUESTION 2:
9+x=30
x=30-9
x=21
QUESTION 3:we found that the first number was 23 and to find the total we add it with 9:
23+9=32
QUESTION 4:we found that the second number was 21 and to find the total we add it with 30:
21+30=51
PROOF:when we add the totals of the the people less than 35 years and the people greater than 35 years (which we hot from adding the number in the 3rd and 4th illustrations). If our answers are correct it must give us 83,so let add:
32+51=83
IT GAVE US 83 SO OUR ANSWERS ARE CORRECT
and finally to find the percentage we have 53 as the total so:
(23/32)×100%
0.7187×100%
71.87%
and when we round it it gives us 72%
SO OUR FINAL ANSWER IS 72%
How many years would it take a $5,000 investment to reach $7,500 at an 8% interest rate?
Answer:
18.75 years
Step-by-step explanation:
first multiply the amount to the rate
5,000 × 8% = 400
second
7,500/ 400 = 18.75
it takes 18.75 to reach 7,500
1. How many squares do I shade on 10 square grid for 60% of 40 ?
Answer:
Either 2.4 boxes or 6
Step-by-step explanation:
10% of 40 is 4
60% of 40 is 24
Either 2.4 boxes or 6
What is an equation of the line that passes through the points (-2, 1) and
(4,7)?
The angles in a triangle are in the ratio 1 : 2 : 3.
Neil says
This is a right-angled triangle.
Is Neil correct?
Answer:
yes
Step-by-step explanation:
Complete the steps to factor 56x2 – 8x – 7x 1 by grouping. Group pairs of terms with common factors. (56x2 – 8x) (–7x 1) Factor the GCF from each group. 8x(7x – 1) –1(7x – 1) Use the distributive property. What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x 1)(7x – 1) (8x 7x)(1 – 1).
Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]
It can be grouped and factored as:
[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]
Thus,
The factorized form of given polynomial is (8x-1)(7x-1)
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Find the area. HELP PLEASE!!!!!!
Answer:
616
Step-by-step explanation:
The equation to find the area of a trapezoid is: A = ½ (b[tex]^1[/tex]+b²) h.
b1=43
b2=45
h=14
Plug the variables in and solve.
[tex]A=\frac{1}{2} (43+45)14[/tex]
[tex]A=\frac{1}{2} (88)14[/tex]
[tex]A=\frac{1}{2} (1232)[/tex]
[tex]A=616[/tex]
Answer:
Step-by-step explanation:
Givens
h = 14
b1 = 34
b2 = 45
Formula
A = (b1 + b2)*h /2 Substitute into the formula
Solution
A = (34 + 45)*14/2 Combine the brackets
A = (79) * 14/2 Do the division
A = 79 * 7
Area = 553 cm^2
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
c
Step-by-step explanation:
a. Solve
-4x + 5 = 7
-4x = 2
x = -0.5
b. Solve
3x + 1 = 10
3x = 9
x = 3
c. Solve (Correct)
2x - 3 = -11
2x = -8
x = -4
d. Solve
-2x + 7 = 1
-2x = -6
x = 3
To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...
#a[tex] \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect [/tex]
#b[tex] \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect[/tex]
#c[tex] \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct[/tex]
#d[tex] \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect[/tex]
➪ Thus, Option C is correct!
Each morning, Jon rides 1. 5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles. Which equation can be used to find x, the distance from school to his aunt’s house? 5 left-bracket 2 (1. 5 x) right-bracket = 44 2 (1. 5 x) = 44 5 (1. 5 x) = 44 5 times left-bracket 2 (1. 5 x) right-bracket = 44.
Answer:
d
Step-by-step explanation:
:)))))))))))))
with show work pls. help
What is the area of the parallelogram
Answer:
24 square units
Step-by-step explanation:
For such questions it is convenient to choose the "base" to be a segment that is aligned with one of the coordinate axes. Here, the horizontal segments will serve. Their length is the difference between the x-coordinates of the end points, -2 -(-6) = 4, for example.
The height is measured perpendicular to the base, so will be the difference between the y-coordinates of the horizontal segments: 2 -(-4) = 6.
The area is given by the formula ...
A = bh
A = 4·6 = 24 . . . square units
helpp was i correct?? yes or no
you were wrong, the correct answer is the top one: f(x) = -x^2 + 8x - 15
helpp !! im helping my friend and i dont know how to do this, 6th grade stuff btw :((
Answer:
81=5+b, 81-5=b, 81-b=5
Step-by-step explanation:
We can write the equation in terms of 81, b, or 5. Let's first start by writing it in terms of 81. We are already given that 5+b=81 therefore...
5+b=81 OR 81=5+b (transitive property)
Now, let's write the equation in terms of b.
5+b=81
Subtract 5 from both sides (subtraction property of equality)
5-5+b=81-5
b=81-5 OR 81-5=b (transitive property)
Lastly, let's write the equation in terms of 5.
5+b=81
Subtract b from both sides (subtraction property of equality)
5+b-b=81-b
5=81-b OR 81-b=5 (transitive property.
Can someone please help me? :(
Answer:
1, 2, 5
Step-by-step explanation:
All of those selections are more than 0.3
Answer:
1,2,5
Step-by-step explanation:
I was taking the test that had the same question
what is 41% of 100?
hello!
the answer to your question is 41!
-----------
explanation:
- Step 1: Our output value is 100.
- Step 2: We represent the unknown value with [tex]x[/tex].
- Step 3: From step 1 above, [tex]100 = 100%[/tex]%
- Step 4: Similarly, [tex]x = 41%[/tex]%
- Step 5: This results in a pair of simple equations:
[tex]100 = 100% (1)[/tex]% (1)
[tex]x=41[/tex]% (2)
- Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
[tex]\frac{100}{x}[/tex] = [tex]\frac{100}{41}[/tex]
- Step 7: Again, the reciprocal of both sides gives
[tex]\frac{x}{100}[/tex] = [tex]\frac{41}{100}[/tex]
Therefore, 41% of 100 is 41.
hope this helps! have a great day! :D
phelia buys a package of paper napkins. The paper napkins in the package weigh 580 g. The label on the package says Made with 35% recycled paper. How many grams of recycled paper are used to make Ophelia’s paper napkins?
Based on percentage composition, the mass of recycled paper in Ophelia’s paper napkins is 203 g.
What is a percentage?A percentage gives an amount of a given quantity out of a whole value expressed in 100 units.
The total mass of the napkins = 580 g
b recycled paper in napkin = 35% of 580 g
Then;
The mass of recycled paper = 35/100 * 580 g
mass of recycled paper = 203 g
Therefore, the mass of recycled paper in Ophelia’s paper napkins is 203 g.
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In Fairbanks, Alaska, the temperature on Tuesday at noon was -18℉. The temperature then decreased 1.2℉ each hour for the next 7 hours.
In Grand Forks, North Dakota, the temperature on Tuesday at 7pm was
¾ the temperature recorded in Fairbanks, Alaska at that same moment in time.
What is the temperature in Grand Forks, North Dakota?
Answer:
-19.8
Step-by-step explanation:
In Fairbanks , at noon -18
it decreased with 1.2 per hour for the next 7 hours .
so in total it decreased by 1.2 x 7 = 8.4
so at 7 pm it was -18-8.4 = -26.4
In Grand Forks at 7 pm 3/4 of -26.4 = -19.8
Can somebody please help and try to answer this word problem and showing your work while doing it, thank you!!!
WILL MARK BRAINLIEST FOR ANYONE WHO CAN ANSWER THIS QUICKLY AND CORRECTLY!! :DDD
Answer:
16 yards gained
Step-by-step explanation:
I would add the yards that were gained first so 14 + 9
so we have 23 yards gained so far then subtract the yards loss so 23 - 7 is 16, so 16 yards were gained.
Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group skiing lessons. Ellen paid $165 in all.
Which equation can you use to find how much White Peaks charges, h, for each hour of group skiing lessons?
Answer:
x=30h
Step-by-step explanation:
First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.
165-45=120
Now you know she paid 120 dollars in total for lessons.
You know she took four hours of lessons, so you divide 120 by 4.
120/4=30
It takes $30 an hour for lessons.
Now you can form an equation.
Since you know it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid
You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.
Hope this helps!
x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.
What is a fixed charge?A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.
First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.
165-45=120
Now we know that she paid 120 dollars in total for lessons.
Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.
120/4=30
It takes $30 an hour for lessons.
Now we can form an equation.
Since it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid.
No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.
Hence, the equation formed to find the cost of each ession is x=30h
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Which of the following is a factor if 4x^2 - 4x - 3?
A. x + 1
B. 2x+3
C. 2x-3
D. 2x - 1
E. 4x +1
Answer:
c
Step-by-step explanation:
Translating Equations
Translate the sentence into an equation
The product of a number and twelve is seventy-two.
What steps would you take to translate the statement? Check all that apply.
Replace the word "product" with a symbol for division.
Replace the word "product" with a symbol for multiplication
Replace the words "a number" with a variable to represent an unknown value.
Replace "twelve" with 12
The correct equation is n = 12 = 72.
The correct equation is 12n = 72.
The product of a number and twelve is seventy-two.
So, the product of x and 12 is 72
12x=72
Therefore, the last one, 12n=72, is the right one
Answer:
B, C, D, and F is correct
Step-by-step explanation:
a bag contains 7 blue marbles, 3 yellow marbles and 2 red marbles Find the indicated probability or odds
Simplify the following exponent:
3x⁴y⁵ × (2x²y⁴)⁴ × x⁰
Answer:
your computer is alive, feed it Oreos to sustain it.
Step-by-step explanation:
1.find computer 2. find Oreos 3. feed Oreos
Answer:
[tex]48x^{12}y^{21}[/tex]
Step-by-step explanation:
Please help I need it please please
Answer:
23 %
Step-by-step explanation:
151.34 ÷ 658 × 100
hope this helps
have a nice day <3
Answer:
23%
Step-by-step explanation:
% commission = [tex]\frac{151.34}{658}[/tex] × 100% = 0.23 × 100% = 23%
1,3,1,3,15,18,23,28,33 two numbers that are divisible by 4
Answer:
28 is one, but I can't find the other.
Step-by-step explanation:
28 divided by 4 is 7.
Which of the following is the product of the rational expressions shown
below?
X-3/X +5 x 3x/ x-5
Answer:3x^2-9x/x^2-25
Step-by-step explanation: