Answer:
Step-by-step explanation:
lol
Choices:
A. 0.38
B. 0.64
C. 0.69
D. 2.00
Answer I think it is a
Step-by-step explanation: A
Four sparking plugs and a fan belt cost $10.50 if the fen belt costs $1.75 more than sparking plugs. Find the cost of each material
Answer: x = $1.75
Step-by-step explanation:
Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.
According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:
4x + (x + $1.75) = $10.50
Simplifying and solving for x, we get:
5x + $1.75 = $10.50
5x = $8.75
x = $1.75
Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).
m<ABD=
m<CBD=
m<ABC=
Answer:
Help will make you as brain plsssss
Step-by-step explanation:
Answer:
m∠ABD = 45.2
m∠CBD = 44.6
m∠ABC = 90
Step-by-step explanation:
to find the measures of all angles we first need to find the value of x
(6x + 14) + (3x + 29) = 90 ( it is a right angle and BD bisect ∠ABC
6x + 3x + 29 + 14 = 90
9x + 43 = 90
Transpose
9x = 90 - 43
9x = 47
x = 47/9
x = 5.2 (approx.)
now put the value of 5.3 instead of x
(6x + 14)
= ( 6 × 5.2 + 14)
= 45.2
(3x + 29)
= (3 × 5.2 + 29)
= 44.6
m∠ABD = 45.2
m∠CBD = 44.6
m∠ABC = 90
Which shows one way to determine the factors of x3 - 12x7 - 2x + 24 by grouping?
The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:
Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:
(x^3 - 12x^2) + (-2x + 24)
Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:
x^2(x - 12) - 2(x - 12)
Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:
(x - 12)(x^2 - 2)
Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
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Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.12. Higher Order Thinking Write and
solve a riddle for a number greater than
40 and less than 60. Use "I more than"
and "I less than" or "10 more than"
and "10 less than" as clues.
Clues:
The correct way to write the inequality is; {40< x < 60}
What is an in equality?In mathematics, an inequality is a statement that compares two values and says that one is greater than, less than, or equal to the other. For example, the statement "x < y" means that x is less than y. Inequalities are represented symbolically and can be solved mathematically to find the range of values that satisfy the inequality.
In this question, we can be able to write that; {40< x < 60} as the statement of the inequality here.
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step by step please
Solution:
We know that:
Given equation: 1/4(x - 2) = 3 - (x + 1/6)Simplify the distributive property.
1/4(x - 2) = 3 - (x + 1/6)=> x/4 - 2/4 = 3 - x - 1/6Further simplify both sides.
x/4 - 2/4 = 17/6 - xSubtract 17/6 both sides.
x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x=> x/4 - 6/12 - 34/12 = -x=> x/4 - 40/12 = -xSubtract x/4 both sides.
x/4 - x/4 - 40/12 = -x - x/4=> -40/12 = -5x/4Use cross multiplication.
=> -160 = -60xDivide -60 both sides.
-160/-60 = -60x/-60=> x = 160/60 = 2 40/60 = 2 2/3The lengths of two similar figures are 35 ft and 10 ft. What is the scale factor, perimeter ratio and area ratio in simplest form of the first to the second.
The scale factor is 7:2, the perimeter ratio is 7:2, and the area ratio is 49:4.
Scale Factor:
The scale factor represents the ratio of corresponding lengths in similar figures.
In this case, the scale factor is given as 7:2.
Perimeter Ratio:
The perimeter ratio of two similar figures is equal to the ratio of their corresponding perimeters.
Since the scale factor is 7:2, the perimeter ratio will also be 7:2.
This means that the ratio of the perimeters of the first figure to the second figure is 7:2.
Area Ratio:
The area ratio of two similar figures is equal to the square of the scale factor. In this case, the scale factor is 7:2.
Thus, the area ratio will be (7/2)² = 49/4.
This indicates that the ratio of the areas of the first figure to the second figure is 49:4.
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What is the direction in which the function f(x, y) = yx2 -x/y2 decreases most rapidly at the point (-2, 1)?
A. -5i
B. 3i+2j
C. 0
D. 5i
E. 3i+j
F. None of these
Prove that n2 + I ≥ 2n when n is a positive integer with 1 ≤ n ≤ 4.
Hence, \(n^2 + 1\geq 2^n\) when \(n\) is a positive integer with \(1 \leq n \leq 4\).
Use principle of mathematical induction, put \(n=1,2,3,4\) in the given inequality
For \(n=1\)
\(1^2+1\geq2^1\)
\(2\geq2\), which is true.
So, \(n^2+1\geq2^n\) is true for \(n=1\)
For \(n=2\)
\(2^2+1\geq2^2\)
\(5\geq4\), which is true.
So, \(n^2+1\geq2^n\) is true for \(n=2\)
For \(n=3\)
\(3^2+1\geq2^3\)
\(10\geq8\), which is true.
So, \(n^2+1\geq2^n\) is true for \(n=3\)
For \(n=4\)
\(4^2+1\geq2^4\)
\(17\geq16\), which is true.
So, \(n^2+1\geq2^n\) is true for \(n=4\)
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What number completes the ordered pair (4, y) so that it is a solution of the function can be 2x+y=10
If you can buy one bunch of seedless green grapes for $2, then how many can you buy with $18?
If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.
The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.
In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.
⇒ Number of bunches = ($18)/($2) per bunch,
⇒ Number of bunches = 9 bunches;
Therefore, with $18, you can buy 9 bunches of seedless green grapes.
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At the movie Theater the size of popcorn bags decreased 20%. If the old bags held 25 cups of popcorn how much do the new bags hold ?
please, please , please help.
Answer:
60,120,180
3,6,9
Step-by-step explanation:
Answer:
top 3,6,9
Bottom 60,120 ,180
Step-by-step explanation:
What is the present value of $ 2,500 per year for 10 years discounted back to the present at 7 percent?
Answer:
$17,559
Step-by-step explanation:
The present value of $2,500 per year for 10 years, discounted back to the present at 7 percent, is approximately $17,559.
Write the following statement as a mathematical expression.
Let x be a number.
The quotient of two and a number, subtracted from seventeen
Answer:
17 - (2 / x)
Step-by-step explanation:
because it is being subtracted from 17. that goes first, and then x is being divided by 2.
Hope this helps!
Answer:
17 - (2 / x)
Step-by-step explanation:
i just did it and got a 100%
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of 1.7 ft³ per minute. If the tank starts completely full, how many minutes will it take to empty the tank? Use the value 3.14 for pi, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
4 minutes
Step-by-step explanation:
You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)
VolumeThe volume of a cylinder can be found using the formula ...
V = (π/4)d²h . . . . . . . diameter d, height h
Then the volume of the oil tank is ...
V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³
TimeThe time it takes to empty the tank is found by dividing the volume by the rate:
(7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min
It will take about 4 minutes to empty the tank.
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Identify whether or not the following equation represents a function:2/3 x=4-5y
Given:
\(\frac{2}{3}x=4-5y\)Required:
To find whether the given equation represents a function or not.
Explanation:
Consider
\(\frac{2}{3}x=4-5y\)A function is defined as a relation between a set of inputs having one output each.
Here
\(\begin{gathered} x=\frac{3}{2}(4-5y) \\ \\ x=6-\frac{15}{2}y \end{gathered}\)Here the given equation is function.
Final Answer:
The given equation is function.
O.5% as a fraction and decimal
Answer: As a fraction: 1/2
As a decimal: 0.005
Step-by-step explanation:
FRACTION:
To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.
DECIMAL:
0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.
Creative Minds Bookstore decided to donate an overstock of
children’s books to some local elementary schools. They gave
two-fifths of the load to Sunshine Elementary. One-third of the
remaining books were donated to Lincoln Elementary. Two-thirds
of the books left were then given to Vineyard Middle School with
the last 16 books donated to the local library. How many books
were donated all together and how many books did each school
receive?
The answer will be as follows after answering the supplied question equation (8/15)x = (8/15)(34.29) 18.29 books Vineyard Middle School
What is equation?A math equation is a process that relates two statements by using the equals sign (=) to indicate equivalence. In algebra, an equation is a mathematical statement that shows the equivalence of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on opposite sides of a letter. Frequently, the logo and the software are the same. For example, 2x - 4 = 2.
Let's tackle this problem with algebra.
Let's call the total number of books contributed "x".
According to the issue, Creative Minds Bookstore donated two-fifths of the books to Sunshine Elementary. Sunshine Elementary received (2/5)x books as a result.
That leaves (3/5)x books to be donated to other schools and libraries.
That leaves (7/15)x books available for donation to the library.
Given that the library acquired 16 books, we may conclude:
(7/15)x = 16
Calculating x:
x = (16)(15/7) = 34.29 (rounded to two decimal places) (rounded to two decimal places)
(2/5)x = (2/5)(34.29) 13.72 books at Sunshine Elementary
(1/5)x = (1/5)(34.29) 6.86 books at Lincoln Elementary
(8/15)x = (8/15)(34.29) 18.29 books Vineyard Middle School
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what unit of measurement would you use to weigh a elephant Oz * mm lb
Answer:
You would use lbs.
Step-by-step explanation:
mm is a unit of distance.
Oz is too small of a unit for weight.
lbs are just right!
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
Answer:
C. \(B(x,y) = \left(3,-\frac{16}{3} \right)\)
Step-by-step explanation:
Let \(A(x,y) = (6,-7)\), \(B(x,y) = (x,y)\) and \(C(x,y) = (-3,-2)\). From statement we know that \(AB = \frac{1}{2}\cdot BC\), which is equivalent to the following linear algebraic formula:
\(B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]\) (1)
\(B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)\)
\(\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)\)
\(B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)\) (2)
Then, the coordinates of point B on AC are:
\(B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)\)
\(B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)\)
\(B(x,y) = \left(3,-\frac{16}{3} \right)\)
Which means that correct answer is C.
(6.7 x 10⁴)(2.9 x 10⁵)
Answer:
1.943*10^10
Step-by-step explanation:
6.7 times 2.9 = 19.43
You then will have to add the exponents which gives 10^9 but we can move the decimal place of 19.43 to the left 1.943. Add one to the exponent which then will be 10^10
I really had some trouble with this problem:( & I need some help
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
plz help and thankkkkm you
Answer:6(x+7= 42
Step-by-step explanation:
Which drink has more sugar per fluid ounce? 50 POINTS
The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.
What real number represents the change in temperature
Answer:
-5 degrees
Step-by-step explanation:
In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...
(-2) - 3 = x
-5 = x
Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees
A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?
Answer:
Thank you and please rate me as brainliest as it will help me to level up