4 over 4 (4/4) is equal to 1.
The equation can be rewritten as X = 4/32
4/32 can be simplified to 1/8
So you have X = 1/8
Answer:
1/8
Step-by-step explanation:
to simplify 4/32, you just have to see how many times 4 goes into 32, in this case the answer is 8. A good rule of thumb is if the smaller number is on the top of the fraction, you will get a fraction for an answer, so the 4 turns into 1 and the 32 turns into 8.
Which values from the specified set make up the solution set of the inequality?
5w–10>20 ; {5,6,7,8}
Select each correct answer.
5
6
7
8
5w - 10 > 20 add 10 to both sides
5w > 30 divide both sides by 5
w > 6
Answer: 7 and 8.Answer: 7 and 8
Step-by-step explanation:
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants to know the total cost of ordering n necklaces.What is the dependent (output) variable?
Answer: 6x7=n
Step-by-step explanation:
Answer:
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants to know the total cost of ordering n necklaces.
What is the independent (input) variable?
✔ n, the number of necklaces
What is the dependent (output) variable?
✔ c, the total cost (in dollars)
What is the domain?
✔ n=0, 1, 2, 3,...
Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?
✔ c(n)=7n + 6
Which expression means “the total cost, including shipping, of 5 necklaces”?
✔ c(5)
Step-by-step explanation:
The lenght of sydney's tennis racket is 2 rulers long. How many feet long is sydeney's tennis racket
Answer:
2 feet or 24 inch.
Step-by-step explanation:
Write an equation represents the number of bracelets b Carly will have if she works t hours making bracelets in the next 2 weeks and averages one bracelet every 2 hours
Find the measures of the angles of a right triangle where one of the two acute angles measures 5 times the other
Answer:
Since it is a right angle, you know that the angle measures 90 degrees. Since one acute angle measures 5x (times) the other, you would set it up in equation format as 5x + x = 90.
5x + x = 6x, so
6x = 90
you divide both both sides by 6 (90/6) = 15
To find the measure of the angle that is 5x (times) the other, you do 5(15) = 75 degrees and the other angle is 15 degrees, which adds up to 90 degrees.
Mark me brainiest
Suppose Department X is 8,000 square feet, Department Y is 5,000 square feet, and Department Z is 6,000 square feet. What's the percent of overhead expense applied to Department Z?
Answer:
31.6%
Step-by-step explanation:
it is given that
Area of Department X = 8,000 square feet
Area of Department Y = 5,000 square feet
Area of Department Z = 6,000 square feet
now the total area = [tex]8000+5000+6000[/tex]
=[tex]19,000[/tex] square feet
Percentage of area covered by Department Z = [tex]\frac{area of Department Z}{total area }100[/tex]%
=[tex]\frac{6000}{19000} 100[/tex] %
=[tex]31.6[/tex] %
percentage of overhead expenses applied to Department Z = percentage of area covered by Department Z
hence we have,
percentage of overhead expenses applied to Department Z = 31.6%
What is n in the equation -5(1+6n)=5n-5?
Answer:
0 is your answer
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.
First, distribute -5 to all terms within the parenthesis
-5(1 + 6n) = (-5)(1) + (-5)(6n) = -5 - 30n
-30n - 5 = 5n - 5
Isolate the variable, n. Subtract 5n and add 5 to both sides
-30n (-5n) - 5 (+5) = 5n (-5n) - 5 (+5)
-30n - 5n = -5 + 5
-35n = 0
Isolate the n, Divide -35 from both sides
(-35n)/-35 = (0)/-35
n = 0
0 is your answer
~
Find the percent of decrease. Round your answer to the nearest tenth of a percent where necessary.
5. 57 to 19
A. 38%
B. 66.7%
C. 200%
D. 20%
Find the percent of markup. Round to nearest whole percent.
6. Store’s Cost:$136.50
Selling price:$184.70
A. 48%
B. 26%
C. 14%
D. 35%
Answer:
Number 5: Answer B
Number 6: Answer B
Step-by-step explanation:
5) The percent of decrease from 57 to 19 is:B. 66.7%
6) The percent of markup is: D. 35%
How to find the percentage?6) To find the percent of decrease from 57 to 19, we can use the formula:
percent decrease = (original value - new value) / original value x 100%
Substituting the given values, we get:
percent decrease = (57 - 19) / 57 x 100%
percent decrease = 38 / 57 x 100%
percent decrease = 0.6667 x 100%
percent decrease = 66.7%
Therefore, the percent of decrease from 57 to 19 is 66.7%. The answer is option B.
6) To find the percent of markup, we can use the formula:
percent markup = (selling price - cost) / cost x 100%
Substituting the given values, we get:
percent markup = (184.70 - 136.50) / 136.50 x 100%
percent markup = 48.20 / 136.50 x 100%
percent markup = 0.353 x 100%
percent markup = 35.3%
Therefore, the percent of markup is 35%. The answer is option D.
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HELP
GIven:
QRS is an isosceles triangle
If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM
True or false
Answer:
true
Step-by-step explanation:
What is the ratio of a to b 9/17= 3a/ a+b
3/14
6/17
13/17
50/9
Answer:
3/14
Step-by-step explanation:
We want to find the ratio of a to b, or a/b
9/17 = 3a/ (a+b)
Multiply each side by 17
17*9/17 =17* 3a/ (a+b)
9 = 51 a/ (a+b)
Multiply each side by (a+b)
9 (a+b) = 51a
Distribute the 9
9a +9b = 51a
Subtract 9a from each side
9a-9a +9b =51a-9a
9b = 42a
Divide each side by b
9b/b = 42a/b
9 = 42a/b
Divide each side by 42
9/42 = a/b
But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3
3/14 = a/b
Which is the best first step when solving the following system of equations?x+y=3 and 4x-y=7
I Need Answer ASAP
I think it would be x+y=3
Hope this helps
X/2 + 3 = -4
/=fraction
A car is traveling 10 miles per hour during rush hour. How far does the car travel in 5 minutes
I will give you literally 40 points if you answer this. In a stadium, there are 31 chairs in the first row and 37 in the second row. The number of chairs in a row continues to increase by 6 with each additional row. a) write the first 5 numbers of this sequence b)what is the explicit tilde for the number of seats in n rows c)use the rule you wrote in 1b to determine which row has 103 seats. SHOW ALL WORK
A) 1st Row = 31 seats
2nd row = 37 seats
3rd row = 37+6 = 43 seats
4th row = 43+6 = 49 seats
5th row = 49+6 = 55 seats
B) The formula for finding the number of seats in any row number is:
Number of seats in nth row = 31 + (n-1) *6
C) To find the row with 103 seats, set the equation in B to equal 103 and solve for n:
103 = 31 + (n-1)*6
Subtract 31 from each side:
72 = (n-1)*6
Divide both sides by 6:
12 = n-1
add 1 to each side:
n = 13
The 13th row has 103 seats.
HELP
GIven:
QRS is an isosceles triangle
If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM
True or false
Answer:
True
Step-by-step explanation:
Given: QRS is an isosceles triangle that is QS=SR and M is the mid point of QR.
To prove: ΔSQM≅ΔSRM
Proof: It is given that QRS is an isosceles triangle that is QS=SR and M is the mid point of QR, thus from ΔSQM and ΔSRM, we have
QS=SR (Given)
QM=MR (Mid point)
SM=MS (Reflexive)
Thus, by SSS rule of congruence,
ΔSQM≅ΔSRM
Hence the given statement is true, that is if M is teh point of RQ, then ΔSQM≅ΔSRM.
Hence proved.
Given the equations `2x + 4/3 y = 1` and `y - 9/13 x = 9`, by what factor would you multiply the first equation so that combining the two equations would eliminate x? A. `-9/26` B. `9/26` C. `1/2` D. `-9/13`
Answer:
B. 9/26.
Step-by-step explanation:
You need to change the coefficient of x in the first equation to 9/13 so that adding the 2 equations would eliminate x.
So you would multiply by
= 9/13 / 2
= 9/13 * 1/2
= 9/26 (answer)
Answer:
The correct option is B) [tex]\frac{9}{26}[/tex]
Step-by-step explanation:
Consider the provided equations:
[tex]2x+\frac{4}{3}y=1[/tex] and [tex]y-\frac{9}{13}x=9[/tex]
The above equation can be written as:
[tex]2x+\frac{4}{3}y=1[/tex] and [tex]-\frac{9}{13}x+y=9[/tex]
As it is given that we need to eliminate the variable x.
Multiplying the equation [tex]2x+\frac{4}{3}y=1[/tex] with [tex]\frac{9}{26}[/tex].
Therefore,
[tex]\frac{9}{26}2x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]
[tex]\frac{9}{13}x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]
Therefore, the correct option is B) [tex]\frac{9}{26}[/tex]
What is the length of x
Answer:
10 is your answer
Step-by-step explanation:
Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.
This means that the 1 side on the 30-60-90 triangle has a measurement of 5.
Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.
the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1
5 * 2 = 10
10 is your answer
~
Please help quick!!!
Which table shows a proportional relationship between x and y?
x 1 3 4 5
y 50 150 200 250
x 1 2 3 6
y 1.5 3 6 9
x 3 5 7 8
y 1.5 2.5 3 4.5
x 2 4 5 6
y 6 12 18 21
Answer:
the most accurate answer would be option 3 relatively speaking
Step-by-step explanation:
If the function f(x)=mx+b has an inverse function, which statement must be true
Answer:
The first option .
Step-by-step explanation:
m must not be zero
Answer:
a) m ≠ 0
Step-by-step explanation:
Given: The function y = mx + b has an inverse function.
The given function is the equation of a line in slope-intercept form.
m is the slope and y-intercept is b.
Given that the function has an inverse function, therefore, the slope must not be equal to zero.
What if the slope is zero, if the slope is zero, then there will not be an inverse function.
Therefore, the answer is m≠ 0.
Matthew can buy an 8-ounce jar of salsa for $2.85 or a 15-ounce jar of salsa for $5.65. Which jar is the best buy and what is the unit rate?
Answer:
The $2.85 jar is the better buy.
Step-by-step explanation:
Start by finding the two separate unit rates. Then compare them:
$2.85
---------- = $0.36/oz
8 oz
$5.65.
----------- = $0.38/oz
15 oz
The $2.85 jar is the better buy, as its unit cost is lower.
Final answer:
The 8-ounce jar of salsa at $0.35625 per ounce is the better buy compared to the 15-ounce jar at $0.37667 per ounce.
Explanation:
The student wants to determine which jar of salsa provides the best value in terms of cost per ounce. To find the unit rate, we need to divide the price of each jar by the number of ounces it contains.
For the 8-ounce jar of salsa:
Unit rate = $2.85 / 8 oz = $0.35625 per ounce
For the 15-ounce jar of salsa:
Unit rate = $5.65 / 15 oz = $0.37667 per ounce
Comparing the unit rates, the 8-ounce jar of salsa has a lower unit rate, making it the better buy.
What is the value of n in the equation 8n + 7 =31
Answer:
The answer is the third choice 3
Step-by-step explanation:
First you undo by doing the opposite 31 - 7 = 24 now we undo the 8 by undoing 24 divided by 8 is 3
Question
What is the value of n in the equation 8n + 7 =31
Answer:
3Step-by-step explanation:
8n + 7 = 31
8n = 31 - 7
8n = 24
n = 24 : 8
n = 3
--------------------
check
8 * 3 + 7 = 31
24 + 7 = 31
31 = 31
The answer is good
A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the selling price by 25%. The store employees get a 50% markdown off the current price. Macy works at the store and sees the shirts going into the second markdown month. She decides that since 25% + 25% + 50% = 100%, the shirts must be free to employees. What is Macy’s error?
Answer: The pre-tax price of the shirt for Macy will be $5.63
Step-by-step explanation:
Given:
Original price = 20
reduces selling price by 25% every month it's not sold.
First markdown month:
20 * (100%-25%) = 20 * 75% = 15
Second markdown month
15 * 75% = 11.25
Macy, employee gets a 50% discount off the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or 5.63
hope it helps! :)
Answer:
teacher's response
Step-by-step explanation:
Macy was calculating the employee price off the original amount each time instead of off the new selling price each month. Macy cannot add up all the discounts; she must apply them one by one.
Show 326 using hundreds, tens, and ones
Answer:
using hunreds 300
using tens 20
using ones 6
300+20+6= 326
Step-by-step explanation:
All you got to do is break them apart into the places.
Plzzz mark brainlest and thank me
Two large single-topping pizzas cost $25.00. What is the constant of proportionality (k)?
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{c}cost directly proportional to \underline{p}izzas}}{c=kp} \\\\\\ \textit{we know that } \begin{cases} p=2\\ c=25 \end{cases}\implies 25=k(2)\implies \cfrac{25}{2}=k\implies 12\frac{1}{2}=k[/tex]
How can this quadrilateral be classified?
Answer:
I am pretty sure it is all but trapezoid.
Step-by-step explanation:
Answer:
B. Trapezoid
Step-by-step explanation:
We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.
Let us check our given choices one by one.
A. Parallelogram.
We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.
Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.
B. Trapezoid
We know that a trapezoid has one pair of parallel sides.
Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.
C. Rhombus
We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.
D. Square.
Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.
1.32:3 1/7 =(1.4y): 5/6
Answer:
y=0.25 please mark brainliest i worked very hard to figure this out.
Step-by-step explanation:
3 1/7=22/7
22/7/6/5=132/35
1.32=132/100
132/100/132/35=1.4y=35/100
35/100*14/10=0.25
hence, y=0.25
Which rules of exponents will be used to evaluate the expression. PLZ answer (MEGA NEEDS HELP :( Quick!!!!!!!!!!!!!!!!!!!!!!!! Check all that apply [( 7^5)(7^3)]-4
.quotient of powers
.product of powers
.power of a power
.power of a product
.negative exponent
.zero exponent
Answer:
Product of powers; power of a power; negative exponent
Step-by-step explanation:
find the angle of elevation of the sun if a building 100 feet tall casts a shadow 150 feet long.
The angle of elevation of the sun can be determined using trigonometry by finding the inverse tangent of the ratio of the building height to the shadow length, which is approximately 33.69 degrees.
To find this, we can use trigonometry, specifically the tangent function, which is the ratio of the opposite side over the adjacent side in a right-angled triangle. Here, the building height represents the opposite side, and the shadow length represents the adjacent side.
Using the formula tangent = opposite/adjacent, we have:
tangent(\(\theta\)) = 100 / 150tangent(\(\theta\)) = 2/3Now, we need to find the angle whose tangent is 2/3. By using a calculator or a trigonometry table, we find:
\(\theta\) = tan-1(2/3) \(\approx\) 33.69 degreesTherefore, the angle of elevation of the sun is approximately 33.69 degrees.
x+y=15
4x+4y=10
what is the answer to this using either substitution or elimination?
The system of equations x+y=154 and x+4y=10, can be solved by substitution method giving the solution x = 202 and y = -48.
Explanation:This question is similar to other problems in algebra where you are given a system of equations. In this case, you have the equations x+y=154 and x+4y=10. We will solve this problem using substitution.
First, let's isolate x in the first equation: x = 154 - y.
Next, we will substitute (154-y) for x in the second equation: (154 - y) + 4y = 10. Simplifying this equation, we get 3y = -144, so y = -48.
Substitute back y = -48 into the first equation, we have x + (-48) = 154, which means x = 202.
So, the solution of the system is: x = 202, y = -48.
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PLEASE ANSWER Which function has the greatest rate of change? A. 6x – 7y = 21 B. y = 2x – 2 C. x y 2 7 3 13 4 19 D. A linear function that goes through point 1, 2 and point 0, negative 1
Answer:
C it has the largest rate of change
Step-by-step explanation:
To find the greatest rate of change, we need the largest slope
In equation form y =mx +b where y is the slope
A. 6x – 7y = 21
Solve for y
Subtract 6x from each side
-7y = -6x+21
Divide by -7
y = 6/7x + 21/7
The slope is 6/7
B. y = 2x – 2
The slope is 2
C. x 2 3 4
y 7 13 19
slope = (y2-y1)/(x2-x1)
= (19-7)/(4-2)
= 12/2
=6
D. A linear function that goes through point 1, 2 and point 0, negative 1
(1,2) (0,-1)
slope = (y2-y1)/(x2-x1)
= (-1-2)/(0-1)
= -3/-1
=3