Answer:
The number of
Dimes = d = 20 dimes
Quarters = q = 10 quarters
Step-by-step explanation:
Let us represent
The number of :
Dimes = d
Quarters = q
Note that:
A dime is worth 10 cents = 0.10d
A quarter is worth 25 cents = 0.25q
A Wonsan has 30 coins in her pocket, all of which are dimes and quarters .
d + q = 30...... Equation 1
d = 30 - q
If the total value of the coins is $4.50
0.10d + 0.25 q = 4.50.....Equation 2
We substitute 30 - q for d in Equation 2
0.10(30 - q) + 0.25q = 4.50
3 - 0.10q + 0.25q = 4.50
- 0.10q + 0.25q = 4.50 - 3
0.15q = 1.5
q = 1.5/0.15
q = 10 quarters
Solving for d
d = 30 - q
d = 30 - 10
d = 20 dimes
Therefore:
The number of
Dimes = d = 20 dimes
Quarters = q = 10 quarters
What is 17,242 rounded to the nearest 10,000
17,242 rounded to the nearest 10,000 is 20,000.
The given number is 17,242.
We need to round the given number to the nearest 10,000.
How to round the given number to the nearest 10,000?To round a number to the nearest 10,000, check the thousands of digits to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. In the given number the thousands are greater than 5000.
So, 17,242 rounded to the nearest 10,000 is 20,000.
Therefore, 17,242 rounded to the nearest 10,000 is 20,000.
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How many 2/7 s are in 3?
Answer: 11 is the answer.
there are 11 2/7's in 3 with a remainder of 1/7, 11 1/7.
Step-by-step explanation:
Answer:
10.5 or 21/2
Step-by-step explanation:
The question is asking how many 2/7 are in 3. So let make 3 a equivalent fraction that has 7 as it denomanater. 7/7 is 1, 14/7 is 2, so 21/7 is 3. Now let divide 21/7 by 2/7. flip 2/7 around to 7/2 then multiply by 21/7 which equals
[tex]\frac{147}{14}[/tex] which equals 10.5 or 21/2.
-324/18
Plz show all the steps of how you got the answer.
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
which expressions are equal ?
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
solve for x round your answer to the nearest tenth
What tropism does this experiment represent?
The straw scrunched up and expanding represents is a representation of
Correct answer:
turgor pressure
.
if 3(x-1) -5(x-4)=8 find the value of x-5 whole 1/2
Step-by-step explanation:
3(x-1) -5(x-4) = 8
3x-3 -5x+20 = 8
3x -5x -3 +20 = 8
-2x + 17 = 8
17 -8 = 2x
9 = 2x
2x = 9
x = 9/2
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
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These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answer:
do you have 12 as an answer?
3.) Solve:
5x + 3- 3x = 2(x + 3) - 5
Answer:
0 = -2
Step-by-step explanation:
Answer:
no answer.
Step-by-step explanation:
5x + 3 - 3x = 2(x + 3) - 5 Simplify the left.
2x + 3 = 2(x + 3) - 5 Remove the brackets
2x + 3 = 2x + 6 - 5 Simply the right
2x + 3 = 2x + 1
It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $
Answer:
100 + 4 = 104%
40/100 X 104 = 41.6
total cost: $41.60
sales tax: $1.60
Answer:
Tax: $1.6
Total cost: $41.6
Step-by-step explanation:
40*0.04 = 1.6, 40 + 1.6 = 41.6
which expression has a value of 50
Answer:
b
Step-by-step explanation:
(50 +10) / ( 5+5)
15 POINTS! Please solve: 3 - 2x = 13 + 3x
Answer:
x= -2
Step-by-step explanation:
hope this helped <3
Please Answer!
Which expression is equivalent to the given expression?
4(a−3)=
−8a
4a−12
4a−3
−4(a+3)
Answer: The answer is 4a−12
make
x
the subject of the formula
p
+
x
=
t
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
write the equivalent fraction by division 30 by 42
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
i don’t know how to do this and it’s due in an hour someone help please
Answer:
912 divided byt he square root of AB to 5^2
Step-by-step explanation:
Answer:
AB to 5^2
Step-by-step explanation:
Flattykawa -_-
Between which two values would 50% of the data lie? Select all that apply. 15 and 40 15 and 45 40 and 50 45 and 50 45 and 60
Answer:
The answer is:
(2). 15 and 45
(3). 40 and 50
(5). 45 and 60
Step-by-step explanation:
Hope this helps! Also can i have brainliest?
Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2
To compute the limit
[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]
notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives
[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]
but again, this returns the indeterminate form 0/0. Applying again gives
[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]
so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.
So the limit is 1/16.
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4
Answer:
-4
Step-by-step explanation:
When we talk of the horizontal translation, we are dealing with a change in the x value
Initially we had x alone while we had x-4 in the second
What this mean is that there is a change of -4
Answer:
Step-by-step explanation:
i put -4 and wrong, pretty sure its 4
Keke had 1,0000,0000,0000,0000,00000,000, points and javonni had 8,0000”00000,00000,00000,000 and Dan need eight zillion More how much does he has before he given more?
Answer:
Step-by-step explanation:
what is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answer:
True answers
The center is 13
The peak is at 14
It has two clusters
It is skewed left
The person waited for the bus 16 times
Step-by-step explanation:
Edge2021
Answer:
A, C, d, e, g
Step-by-step explanation:
which expression represents purely real numbers and which expression represents non-real complex number?
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
A ticket at a movie theater costs $9.25.
How many tickets were purchased if the the total cost of tickets was $240.50?
Answer:
26 tickets
Step-by-step explanation:
240.50 divided by 9.25
Answer:
the answer to this is 26
Step-by-step explanation:
240.50 ÷ 9.25 = 26
Help me please! This is very confusing.
Answer: 60°
Step-by-step explanation:
Answer: x=60
Step-by-step explanation:
120+120= 240
360-240= 120
120/2= 60
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answer:
The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.
The second equation is a simplified version of the first one, and can be explained in three ways:
Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.
or
Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths
or
The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.
Hope this helps!
Need help on this? Please help
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3