25(x-y) simplified using the distributive property gives us 25x - 25y.
WE are given the expression as 25x-25y
WE know that distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
To use the distributive property to simplify 25(x-y), we need to distribute the 25 to both x and y separately.
So,
25(x-y) = 25(x) - 25(y)
= 25x - 25y
Therefore, 25(x-y) simplified using the distributive property gives us 25x - 25y.
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Final answer:
The expression 25(x-y) is simplified using the distributive property by multiplying 25 by each term inside the parentheses, resulting in 25x - 25y.
Explanation:
To use the distributive property to simplify the expression 25(x-y), you should multiply each term inside the parentheses by 25.
This is what it looks like when we apply the distributive property:
25 × (-y) = -25y
So, the simplified expression is 25x - 25y.
When we evaluate expressions, we are typically trying to express them in a way that shows the multiple or product terms explicitly. This process is like reversing distributive law and turning it back into factors (multiples). Here, the distributive law helps us see that the expressions 25x and -25y, when combined, produce the same value as the original expression 25(x-y).
help?? #10 please!!
Answer:
∠CAT = 140°
Step-by-step explanation:
Since AB bisects ∠CAT then ∠BAT = ∠CAB, hence
5x + 20 = 2x + 50 ( subtract 2x from both sides )
3x + 20 = 50 ( subtract 20 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
∠CAT = ∠BAT + ∠CAB = 5x + 20 + 2x + 50 = 7x + 70
substitute x = 10 into the expression
∠CAT = (7 × 10) + 70 = 70 + 70 = 140°
Enter the correct answer in the box.
Solve the inequality for x in terms of a.[tex]ax-8\leq 12[/tex]
Answer:x<=(20)/(a)
Step-by-step explanation:
Find the length of segment AD.
Someone please help! I’m not the smartest when it comes to math lol.
Answer:
Since AG = GC then AD must equal DC
2x -3 = x +2
x = 5
Step-by-step explanation:
Which of the following is NOT a congruence transformation
A. A reflection over the x-axis
B. A dialation with scale factor 0.5
C. A translation 1 unit left
D. A dialation with scale factor 1
factor trinomial 28x^3+27x^2+5x
Answer:
Hello, Gayleayers!! The answer is x(4x+1)(7x+5)
Step-by-step explanation:
To check your answer, use the box method or foil, whichever you prefer. When you use it, leave out the x in front of the parenthesis. The answer will come to x(28x^2+27x+5), then distribute the x. You will get your original answer.
Have a great night and Happy New Year!!
Answer: x(7x + 5)(4x + 1)
Step-by-step explanation:
28x³ + 27x² + 5x
= x(28x² + 27x + 5)
= x(28x² + 7x + 20x + 5)
= x[7x(4x + 1) + 5(4x + 1)]
= x(7x + 5)(4x + 1)
Jennifer is making a cold cut platter using turkey and ham for an event that she is catering. She uses 90 slices of meat. If 63 of the slices of meat are turkey, what percent of the meat on the platter are ham? ALSO, PLEASE EXPLAIN. Thanks! :)
Answer:
30% of the meat on the platter is ham.
Step-by-step explanation:
90 slices = 100%
10% = 9 slices
90 - 63 = 27 slices (this is the amount of ham)
10% x 3 = 30% = 27 slices of ham
Answer:
27 slices of ham which is about 30% of the meat.
Step-by-step explanation:
In this problem we have given
no. of slices of meat=90
no of slices of turkey's meat=63
Percent of ham in platter=?
No of ham slices= Total slices -turkey slices
=90 - 63
= 27 slices
therefore no of ham slices=27
percent of ham slices=Ham slicesx100/total slices
=27x100/90%
=30%
Therefore percent of ham's in patter=30%
Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old. How much will be in the account when he is 40 years old if he made no other deposits or withdrawals?
With a principal of $5,000, an interest rate of 3.8%, over 22 years, Jackson's principal will grow to $11,535
Given: principal is $5000, interest rate is 3.8% and it is compounded continuously
To find: amount when Jackson is 40 years old
To solve this problem, we use the formula for continuous compounding interest:
[tex]A = P \times e^{rt}[/tex]
where:
A is the total amount of money
P is the principal
r is the annual interest rate (decimal form, so 3.8% becomes 0.038)
t is the time in years
Time here will be 22 years as Jackson deposited the money when he was 18 years old. So, the difference of 40 and 18 gives us 22 years.
Now we can find the total amount by plugging in the values:
[tex]A = 5000 \times e^{0.038 \times 22}\\[/tex]
[tex]A= 5000 \times e^{0.836}\\[/tex]
[tex]A= 5000 \times 2.307\\[/tex]
[tex]A = 11535[/tex]
Therefore, Jackson's account will have $11,535 when he is 40 years old.
what are the steps to multiplying a fraction by a fraction
Step-by-step explanation:
so for example lets say the fractions are 1/4 and 2/3
you would multiply them to make the eqution look like this- [tex]\frac{1}{4}[/tex]·[tex]\frac{2}{3}[/tex]
so then you would cross simplify, since 2 is a factor of 4 we will factor them out, so itll look like this=
[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{3}[/tex]
then you multiply the denominator with denominato and numerator with numerator, so the answer is 1/6
Hello There!
To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.
Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.
Finally, you want to find the greatest common factor but only if the fraction can be simplified.
That Is How To Multiply Fractions
The manager of a store orders balance beams that cost $550 and sells them for $704. What percentage is the mark-up?
Answer:
28%
Step-by-step explanation:
Percentage mark up = (new - original) / original * 100 %
new = 704
original = 550
Substituting these values in
Percentage mark up = (704 - 550) / 550 * 100 %
=154/550 * 100%
=.28*100%
28%
Which expression is modeled by the diagram above?
PLEASE HELP ASAP!
Answer:
[tex]3\frac{1}{4}[/tex] divide by [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{4}[/tex] is a mixed fraction and it can be written as
[tex]\frac{3*4+1}{4}=\frac{13}{4}[/tex]
13/4 can be break into
[tex]\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{1}{4}[/tex]
[tex]\frac{13}{4}[/tex] can be divided into [tex]\frac{3}{4}[/tex] and it is left with
[tex]\frac{1}{4}[/tex]
[tex]3\frac{1}{4}[/tex] divide by [tex]\frac{3}{4}[/tex]
What is the solution to the equation fraction 1 over 4x = 5?
A) x = fraction 4 over 5
B) x = fraction 5 over 4
C) x = 20
D) x = 1
In a geometric sequence, a2=108 and as 256. Write the explicit formula for this sequence.
Answer:
C. 81[-4/3]^n-1
Step-by-step explanation:
The explicit formula for a geometric sequence is given by a_n = a * r^(n-1). Using the provided values of a2 = 108 and a5 = 256, we can establish two equations to solve for 'a' and 'r'. This results in two possible explicit formulas for the sequence.
Explanation:In a geometric sequence, each term after the first is obtained by multiplying the previous term by a fixed, non-zero number called the common ratio. If we denote the first term of the sequence by 'a' and the common ratio by 'r', then the explicit formula of the sequence is: a_n = a * r^(n-1). Given that a2 = 108 (the second term is 108) and a5 = 256 (the fifth term is 256), we have two equations: a*r = 108 and a*r^4 = 256. Dividing the second equation by the square of the first equation, we get r^2 = 256/108^2 = 0.022. So, r is about +- 0.148. Substituting r into the first equation, we can solve for a. This gives us two possible explicit formulas for the sequence depending on whether we take the positive or negative value of r.
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solve the equation by completing the square. x^2 -6x -21=0 if the solution is not a real number enter no solution (ANSWER -2.48 and 8.48 )this is what the lesson says i just dont know how to show this
Answer:
see explanation
Step-by-step explanation:
given x² - 6x - 21 = 0 ( add 21 to both sides )
x² - 6x = 21
to complete the square
• add ( half the coefficient of the x-term)² to both sides
x² + 2 (- 3)x +9 = 21 + 9
(x - 3)² = 30 ( take the square root of both sides )
x - 3 = ± [tex]\sqrt{30}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{30}[/tex]
x = 3 - [tex]\sqrt{30}[/tex] = - 2.48 ( to 2 dec. places ) or
x = 3 + [tex]\sqrt{30}[/tex] = 8.48 ( to 2 dec. places )
4.25•0.6=2.04•1.25 true or false
Answer:
True
Step-by-step explanation:
A store sells 12 cans of nuts for $33. How much would it cost you to buy 5 cans of nuts?
[tex]\bf \begin{array}{ccll} cans&\$\\ \cline{1-2} 12&33\\ 5&x \end{array}\implies \cfrac{12}{5}=\cfrac{33}{x}\implies 12x=165 \\\\\\ x=\cfrac{165}{12}\implies x=13.75[/tex]
Answer:
$13.75
Step-by-step explanation:
Divide $33 by 12 to find out how much each can of nuts costs, which is $2.75. Now multiply that by 5 to get the cost of 5 cans of nuts. $13.75.
In isosceles trapezoid JKLM, m∠J = 17x + 7, and m∠M = 11x + 13. Find m∠K.
Final answer:
To find the measure of angle K in the isosceles trapezoid JKLM, set the expressions for angle J and angle M equal to each other and solve for x. Substituting the value of x into one of the angle expressions will give the measure of angle K.
Explanation:
To find the measure of angle K in the isosceles trapezoid JKLM, we can use the fact that the opposite angles in an isosceles trapezoid are congruent. Since angle J and angle M are given in terms of x, we can set them equal to each other and solve for x:
17x + 7 = 11x + 13
Simplifying the equation, we get:
6x = 6
x = 1
Now that we have the value of x, we can substitute it back into one of the angle expressions to find the measure of angle K:
m∠K = 17(1) + 7 = 24 degrees
The Gonzalez family has three children on summer break they want to an amusement park they bought three child tickets for $18.50 and two adult tickets if they spent a total of $104.50 how much was the price of each adult ticket
Answer:
Each adult ticket was $43
Step-by-step explanation:
2x+18.5 = 104.5
Simplify
2x = 86
x = $43
Is this table linear or non linear?
x y
0 5
1 8
2 11
Answer:
Linear
Step-by-step explanation:
Each time x increases by one unit, y increases by three units.
The table represents a linear function of x.
Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?
Answer by YourHope:
Hi! :)
Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?
76% of the students in Mrs. Green’s class have a pet!
I also love your profile pic! :)
The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem? y = 2x + 1 and 3x + 6 = y y = 2x + 1 and y + 6 = 3x y = 2(x + 1) and y + 6 = 3x
Step-by-step explanation:
larger number = y
smaller number=x
y>2x+1
y<3x+6
Probably the first one, if I did this right.
To do this problem, you need to know how to read math, literally. The problem says that y is the larger number, so assume the smaller is x. So, y exceeds 2x by 1 (so, y>2x+1). then, it says 3x exceeds y by 6; therefore, 3x+6>y. I may have interpreted it wrong, though, so tell me if I made a mistake :))
Answer:
first one
A. y = 2x + 1 and 3x + 6 = y
8 lb 1 oz − 3 lb 6 oz
Answer:
Since you want me to answer 3 lb 1 oz - 1 lb 15 oz instead, the answer is 18 oz
Step-by-step explanation:
First, convert pounds and ounces to just ounces, then subtract the total ounces. Finally, convert back to pounds and ounces to get the result of 8 lb 1 oz minus 3 lb 6 oz, which is 4 lb 11 oz.
Subtracting Mixed Measurements
To find the result of 8 lb 1 oz − 3 lb 6 oz, follow these steps:
Convert everything to ounces for easier subtraction (since there are 16 ounces in a pound).
Subtract the ounces first, then subtract the pounds.
Step-by-Step Solution
Step 1: Convert to ounces
8 lb 1 oz = (8 × 16) + 1 = 128 + 1 = 129 ounces
3 lb 6 oz = (3 × 16) + 6 = 48 + 6 = 54 ounces
Step 2: Subtract the ounces
129 ounces - 54 ounces = 75 ounces
Step 3: Convert back to pounds and ounces
75 ounces = 4 lb 11 oz (since 75 ÷ 16 = 4 remainder 11)
Therefore, 8 lb 1 oz − 3 lb 6 oz = 4 lb 11 oz.
Simplify the algebraic expression: 7x2 + 6x – 9x – 6x2 + 15.
A. x2 – 3x + 15
B. x4 – 3x + 15
C. x2 + 15x + 15
D. 13x2 + 3x + 15
Answer:
The correct answer option is A. x2 – 3x + 15.
Step-by-step explanation:
We are given the following expression and we are supposed to simplify it:
[tex]7x^2+6x-9x-6x^2+15[/tex]
Before solving it, a good idea will be to arrange all the like terms together in their decreasing power and write the expression as:
[tex]7x^2-6x^2+6x-9x+15[/tex]
Simplifying it to get:
[tex]x^2-3x+15[/tex]
Therefore, the first option A is the correct answer x2 – 3x + 15.
Answer:
A. [tex]x^{2} - 3x +15[/tex]
Step-by-step explanation:
Given:
7x^2 + 6x – 9x – 6x^2 + 15.
On combining the x^2, and "x" terms we get,
= (7x^2 – 6x^2) + (6x – 9x) + 15
Now, here simple addition of integers takes places
= x^ - 3x + 15
Please help with my math homework :(
Answer:
8x-12=6x-2 x=5
Step-by-step explanation:
I need help with his problem.
The surface area of a cube is 18 3/8 m square. Find its volume.
Answer:
[tex]5\frac{23}{64}\approx 5.36 [/tex] cubic meters.
Step-by-step explanation:
We have been given that the surface area of a cube is [tex]18\frac{3}{8}[/tex] square meters and we are asked to find the volume of the cube.
Since we know that surface area of a cube with each edge equals a units is:
[tex]\text{Total surface area of cube}=6a^2[/tex]
Let us find length of each edge using surface area formula.
[tex]18\frac{3}{8}=6a^2[/tex]
Let us convert our given area into mixed fraction.
[tex]\frac{147}{8}=6a^2[/tex]
Upon dividing both sides of our equation by 6 we will get,
[tex]\frac{147}{8*6}=a^2[/tex]
[tex]\frac{147}{48}=a^2[/tex]
Upon taking square root of both sides we will get,
[tex]\frac{7\sqrt{3}}{4\sqrt{3}}=a[/tex]
[tex]\frac{7}{4}=a[/tex]
Now we will use volume of cube formula with each side length 'a'.
[tex]\text{Volume of cube}=a^3[/tex]
[tex]\text{Volume of cube}=(\frac{7}{4})^3[/tex]
[tex]\text{Volume of cube}=\frac{343}{64}[/tex]
[tex]\text{Volume of cube}=5\frac{23}{64}[/tex]
[tex]\text{Volume of cube}=5.359375\approx 5.36[/tex]
Therefore, the volume of cube will be [tex]5\frac{23}{64}[/tex] cubic meters.
It takes 24 workers to complete the job in 5 days. How many days would 15 workers take to do the same job, assuming all the workers work at the same pace?
I'm guessing 10 days, since you lost a bit more than half of the workers, and it would take longer for the job to get done.
Select the best estimate for the diameter of a quarter
Answer:
20 Centimeters
Step-by-step explanation:
did it on edge
Help please in explain
Answer:
they are different numbers
Step-by-step explanation:
when you subtract 35-15 it comes out to 20 and the other one comes out to 17
Please find the Sine, Cosine, and Tangent
Answer:
sin theta = 3/5
cos theta = 4/5
tan theta = 3/4
Step-by-step explanation:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
sin theta = 18/ 30 = 3/5
cos theta = 24/30 = 4/5
tan theta = 18/24 = 3/4
Answer:
[tex]sin \theta = \frac{3}{5} = 0.6\\\\ cos \theta = \frac{4}{5} = 0.8\\\\tan \theta = \frac{3}{4} = 0.75\\[/tex]
Step-by-step explanation:
Use SOHCAHTOA for reference
[tex]sin = \frac{opposite}{hypotenuse} \\\\cos = \frac{adjacent}{hypotenuse} \\\\tan = \frac{opposite}{adjacent}[/tex]
[tex]sin \theta = \frac{18}{30} = \frac{3}{5} = 0.6\\\\cos \theta = \frac{24}{30} = \frac{4}{5} = 0.8\\\\tan \theta = \frac{18}{24} = \frac{3}{4} = 0.75[/tex]
Mario made six batches of cookies. His friends asked him to make an extra batch. He used 15 3/4 cups of sugar and needs another 5/8 cup for the extra batch. How many cups of sugar will Mario use altogether? Show work.
The cups of sugar mario use would be 16 3/8 cup
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Mario made six batches of cookies. His friends asked him to make an extra batch.
He used 15 3/4 cups of sugar
15 3/4 cup = 126/8 cup
then he needs another 5/8 cup for the extra batch.
126/8 + 5/8 = 131/8 cup
Mario use altogether;
131/8 = 16 3/8 cup
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