Answer:
21 by 3
Step-by-step explanation:
3x7=21
21+21=42
3+3=6
42+6=48
What fractions are equal to 9 /12
Answer:
3 / 4
Step-by-step explanation:
X : 6 = 10 : 150
X =
What does X equal?
Answer:
[tex]\large\boxed{x=\dfrac{2}{5}=0.4}[/tex]
Step-by-step explanation:
[tex]x:6=10:150\\\\\dfrac{x}{6}=\dfrac{10}{150}\qquad\text{cross multiply}\\\\150x=(6)(10)\\\\150x=60\qquad\text{divide both sides by 150}\\\\\dfrac{150x}{150}=\dfrac{60}{150}\\\\x=\dfrac{60\!\!\!\!\diagup}{150\!\!\!\!\diagup}\\\\x=\dfrac{6:3}{15:3}\\\\x=\dfrac{2}{5}=0.4[/tex]
what is 9 - (-8) = 20 and how did you get that answer?
Answer: No solution
Step-by-step explanation:
9-(-8)=20 given
9+8=20 the two negatives cancel out, making the eight positive
17=20 this statement is not correct, so the answer is no solution
no solution
I'm not sure if there was supposed to be a variable in there somewhere, but I did my best to explain. Hope this helps!
Answer:
9 -( -8)= 9 + 8= 17 not 20
17 is the solution
Use long division to convert −
74
8
to a decimal.
Answer: 9.25
Step-by-step explanation:
Answer:
−9.25
Step-by-step explanation:
Since the fraction is negative, the decimal equivalent is negative, too. Divide 74 by 8. The answer is −9.25.
The sum of two numbers is 39 . The larger number is 5 more than the smaller number. What are the numbers?
Answer:
Possibly 17 and 22.
Step-by-step explanation:
17 plus 22 equals to 39.
22 is five more than 17.
The two numbers are 17 and 22 whose sum is 39.
What is a numerical expression?A numerical expression is in form of numbers and variables separated by the operation of addition and subtraction.
Given that the sum of two numbers is 39.
Also given that the larger number is 5 more than the smaller number.
Assuming the smaller number to be 'n'.
∴ The larger no. is (x+5).
So, the given statement can be written as,
x + (x+5) = 39.
2x + 5 = 39.
2x = 39 - 5.
2x = 34.
x = 34/2.
x = 17.
So, the larger number is (5+17) = 22.
learn more about numerical expression here :
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State a conclusion that seems reasonable.
6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + = 100.
Conclusion:
Answer:
Any number plus 0 is the same as the first number.
Step-by-step explanation:
6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + 0 = 100.
Conclusion: Any number plus 0 is the number.
For example: x + 0 = x
x is the number.
Answer: 0
Step-by-step explanation:
100+0=100.
Just basic addition too. 100+0=100. That simple.
No other number can give off 100 like 0 can. 100 plus 0 just gives it the number itself.
Just like how 6+0=6. 6 is just being added to itself.
So, your answer for this is 0. No other number can give off a better answer than the 0 for this problem.
Bada bing bada boom! I hope this helps you!
What is the angle of rotation for rotational symmetry of a regular pentagon? A) 36° B) 60° C) 72° D) 90°
Answer:
c
Step-by-step explanation:
72
Final answer:
The angle of rotation for rotational symmetry of a regular pentagon is 72°, which is found by dividing the full rotation of 360° by the number of sides (5).
Explanation:
The angle of rotation for rotational symmetry of a regular pentagon is the angle you rotate the pentagon until it looks exactly the same as it did before the rotation. A regular pentagon has five sides that are all of equal length, and the amount of rotation required to bring one vertex to the position of the next is 360° divided by the number of sides. Therefore, the angle of rotation for a regular pentagon is 360°/5, which equals 72°.
The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sales on the two instruments, find the price of a trumphet.
Answer:
$159.95
Step-by-step explanation:
Let price of trumphet be defined by [tex]x[/tex]
price of clarinet = $139.95
Number of clarinets sold = 19
Earning through clarinets' sale = [tex]19*139.95 = 2659.05[/tex]
Total earning of store = $4578.45
Earning through trumphets' sale = [tex]4578.45 - 2659.05 = 1919.40[/tex]
price of one trumohet = [tex]\frac{1919.40}{12} = 159.95[/tex]
price of clarinet = $159.95
please help me to simplify 7+(6-4p)-2
HELP NEEDED!!
Solve Equation.
2(x-3) +5=17
A. x=9 or x=-3
B. x=7 1/2 or x=-3
C. x= 7 1/2 or x=9
D. x= 7 1/2 or x= -9 1/2
Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
PRACTICE AND PROBLEM SOLVING
Explain why the triangles are similar and write a similarity sta
atement.
Answer:
Because they are
Step-by-step explanation:
they ar4
Triangles are similar if their angles are congruent, supported by the AAA theorem. The similarity of triangles implies that the corresponding side lengths are proportional, which can be expressed algebraically or in words.
To justify that the triangles are similar, we look for congruent angles and proportional sides. The student indicated that the triangles have the same angles, which satisfies the AAA (Angle-Angle-Angle) similarity theorem. Because the angles are congruent, the sides are proportional, which means the ratios of corresponding sides are equal.
With words, we can express the relationship of corresponding lengths in similar triangles as the ratio of one triangle's side lengths to the other's. Algebraically, if we have corresponding sides a, b, and c from Triangle 1, and sides d, e, and f from Triangle 2, then a/d = b/e = c/f.
To solve for an unknown quantity, we algebraically isolate the variable in our equation, plug in the known values, calculate the answer, and then check to ensure the result is reasonable. For example, if we know sides a, b, d, and e, and we want to find side c, we would set up the proportion c/f = a/d, and after substituting the known values, we solve for c.
A football team starts with the ball at their own 20-yard line. They make two 6-yard gains in a row, then they have three 5-yard losses in a row. What yard line is the ball on at this point?
Simplify the following polynomial expression. (5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
Answer:
5x^4 - 37x^3 - 6x^2 + 41x - 6
Step-by-step explanation:
What does x equal in -6(8+7x)=-342
Answer:
x = -7
Step-by-step explanation:
-6(8 + 7x) = -342
-48 + 42x = -342
42x = -294
x = -294/42
x = -7
Answer is provided in the image attached.
The winner of a 50mile race drove his car to victory at a rate of 100.4893mph. What was his time (to the nearest thousandth of an hour)?
Answer:
His car's speed rate to the nearest thousandth of an hour is 100.489
Step-by-step explanation:
First: This is the only step, round the speed rate to the nearest thousandth:
When rounding always look at the place value they're telling you to round to and the place value to the right of it. Since, the question wants us to round to the nearest thousandth, look at the thousandths place but more specifically the place value to its right. The thousandths is the third digit behind the decimal point and the one to its right would be the fourth.
100.4893
So, if the number to the thousandths' right is less than 5 turn that number into a zero and keep the rest of the number the same. If the number is greater than or equal to 5 round up by making the number in the thousandths place a digit bigger.
Since 3 is smaller than 5, we'll turn the 3 into a zero and keep the rest the same.
100.4890
Since the zero is behind the decimal point and it is the number farthest to the left we can take it out.
100.489
Thank you for reading
Topic: Rounding, Place Value
SOR
16. Bob made a picture graph of the
marbles he and his friends have.
How many more marbles does
Bob have than Kayla? Explain how
you found the answer.
Ρε
Bob has 1 more marble than Kayla, calculated by subtracting Kayla's marble count from Bob's.
To determine how many more marbles Bob has than Kayla, we can subtract Kayla's number of marbles from Bob's. The calculation is straightforward: [tex]\(6 - 5 = 1\)[/tex]. Therefore, Bob has 1 more marble than Kayla.
In a visual representation of their marbles, Bob has 6 marbles, Malik has 3 marbles, and Kayla has 5 marbles. To find the difference between Bob and Kayla, we subtract Kayla's count from Bob's. The result, 1, indicates the additional marble Bob possesses compared to Kayla.
This is a simple arithmetic operation that reflects the concept of finding the difference between two quantities. In this case, the subtraction represents the surplus marbles that Bob has in comparison to Kayla. The positive result suggests that Bob has an extra marble beyond what Kayla possesses.
In summary, Bob has 1 more marble than Kayla, as determined by subtracting Kayla's marble count from Bob's. This simple arithmetic operation provides a clear understanding of the numerical difference in their marble quantities.
The question probable maybe:
(Given in the attachment)
How much money should you invest in a savings account that pays 2.25% interest compounded quarterly to have a balance of $1,196.61 after 8 years
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&1196.61\\ P=\textit{original amount deposited}\\ r=rate\to 2.25\%\to \frac{2.25}{100}\dotfill &0.0225\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &8 \end{cases}[/tex]
[tex]\bf 1196.61=P\left(1+\frac{0.0225}{4}\right)^{4\cdot 8}\implies 1196.61=P(1.005625)^{32} \\\\\\ \cfrac{1196.61}{(1.005625)^{32}}=P\implies 999.9969 \approx P[/tex]
A stock market index drops by 1.38 points. What rational number represent the change in the index
Answer:
The change in the index is - 69/50
Step-by-step explanation:
* Lets explain what is the rational number
- A rational number is a number that can be expressed as a fraction
a/b where a and b are integers and b ≠ 0
- A rational number have numerator and denominator
- Whole numbers, integers, fractions, terminating decimals and
repeating decimals are all rational numbers
- The rational numbers includes all positive numbers, negative
numbers and zero that can be written as a fraction
- To convert a Decimal to a Fraction follow these steps:
# Write down the decimal divided by 1
# Multiply both top and bottom by 10 for every number right the
decimal point
# Simplify (or reduce) the fraction
* Lets solve the problem
- A stock market index drops by 1.38 points
- We need to find the rational number represents the change in
the index
∵ Drop means the stock is become less
∴ The value of change will be negative
∵ The stock is drops by 1.38
∴ -1.38 = -1.38/1
- Multiply up and down by 100 because there are 2 digits right the
decimal point
∴ -1.38 = -138/100
- Divide up and down by 2
∴ -1.38 = - 69/50
∴ The change in the index is - 69/50 (-1.38)
Answer: [tex]\dfrac{69}{50}[/tex]
Step-by-step explanation:
A rational number is in the form of [tex]\dfrac{p}{q}[/tex] , where [tex]q\neq0[/tex]. and p and q are integers.
Given : A stock market index drops by 1.38 points.
To convert 1.38 into rational , we divide and multiply it by 100 ( 1.38 is decimal expression up to hundredth) , we get
[tex]1.38\times\dfrac{100}{100}=\dfrac{138}{100}[/tex]
Now , we divide numerator and denominator by 2 , we get
[tex]\dfrac{69}{50}[/tex]
Hence, the rational number represent the change in the index is [tex]\dfrac{69}{50}[/tex].
stretch by 1/3, shift up 4 and left 5
Step-by-step explanation:
Example: (1,4) (2,5) (3,4) triangle
Stretch by 1/3, shift up 4, and left 5
Find the area of the triangle/square/shape.
Multiply by 1/3
Move the answer by 4 spaces up.
Then, to the left.
solve the equation z=2x+3 for x
Answer:
z=2x+3
z-3=2x
x=z-3/2
0.019 in expanded form
Answer: zero and zero nineteenth thousandths
Step-by-step explanation:
The number 0.019 in expanded form is written as 0.010 + 0.009, which represents one-hundredth and nine-thousandths respectively.
Explanation:The student is asking for the number 0.019 to be written in expanded form. Expanded form is a way to break down a number to show the place value of each digit. The number 0.019 in expanded form can be written as:
0.010 + 0.009
The first 0.010 represents one-hundredth and the second 0.009 represents nine-thousandths.
Learn more about Expanded Form here:https://brainly.com/question/34236895
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one day the high temperature was 84 and the low temperature was 68. write a compound inequality to represent the days temperatures.
Answer:64<84
Step-by-step explanation:
Use the list method to write "The odd integers between 2 and 15". {2, 3, 5, 7, 9, 11, 13, 15} {3, 5, 7, 9, 11, 13} {3, 5, 7, 9, 11, 13, 15}
The answer would be {3, 5, 7, 9, 11, 13, 15}.
Answer:
The other answer is wrong the correct answer is {3, 5, 7, 9, 11, 13}
Step-by-step explanation:
Odyssey
joshua drove 360 miles in 5 hours. how fast was he driving in miles per hour?
Answer:72 miles
Step-by-step explanation:
You have to divide 5 by 1 then 360 by 5 and then get 72
can someone help me with all this?? i really dont get it
Answer:
A=78
B=102
C=78
Step-by-step explanation:
A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C
B= the vertical angle for 102, or the same thing with a and c, just flipped around
Question:
5/6 + 4/9
A. 1/2
B. 9/18
C. 1 5/18
D. 1 1/2
Answer:
5/6 + 4/9 = 23 / 18
= 1 5/18
Step-by-step explanation:
9. Isidro wants to purchase a used scooter that costs $79.95, The Sales
tax is found by multiplying the price of the scooter by 0.065. Find
the total amount of money Isidro will pay. Round to the nearest cent.
Answer:85.15
Step-by-step explanation:
What is the solution to the set inequality (4x-3)(2x-1)
Answer:
Set each factor equal to 0
4x-3 = 0
2x-1 = 0
Solve for x.
4x-3=0
4x=3
x= 3/4
Solve for x.
2x-1= 0
2x= 1
x= 1/2
Eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x
Answer:
its d
Step-by-step explanation:
N plus 3 then divided by 2
Represent it as N+3/2.
☺Happy to help!
4 friends buy cinema tickets using this offer.
buy 3 cinema tickets and get 1 free
they each pay £6.15
how much does a ticket cost
To find the cost of a single cinema ticket, multiply the amount each friend paid, £6.15, by 4 to get the total cost for 3 paid tickets. Divide this total, £24.60, by 3 to find that the cost of one ticket is £8.20.
The question pertains to a group of 4 friends who buy cinema tickets using an offer where they buy 3 tickets and get 1 free. Since each friend pays £6.15, we need to determine the actual cost of a single ticket.
Under the offer, they are buying a total of 4 tickets for the price of 3. Therefore, we can calculate the cost of 3 tickets by multiplying £6.15 by 4, which gives us a total of £24.60. To find the cost of a single ticket, we divide the total cost of £24.60 by the number of tickets bought, which is 3.
Here is the calculation step:
Total cost for 4 friends = 4 × £6.15 = £24.60
Cost of a single ticket = [tex]\frac{24.60}{3}[/tex] tickets = £8.20
Therefore, the cost of one ticket without the offer is £8.20.