Answers
6 + 6 = 12
n is the same thing on both sides of the equation
6 + 6 - n = 12 - n
You are taking an equal amount off both sides so the left and right sides are both equal still. Try it. Let n = 0.5
6 + 6 - 0.5 = 12 - 0.5
6 + 5.5 = 11.5
11.5 =? 11.5
They are both equal. In algebra a letter in an equation like this one can't change values if that letter is on opposite sides of the equation.
Six
9.5 y + 600 < 900
9.5 y = 300
y < 300 / 9.5
y < 31.57
If there's no sales tax where he lives, he can take 31 students. If it is possible to take 0.57 of a student then he can take 32 (but of course it isn't possible).
Related Questions
NEED HELP ASAP 20 POINTS
A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?
TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5
A) nc= 9, $10
B) nc= 72, $6
C) n/c= 72, $12
D)n/c= 9, $12
Answers
As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:
[tex]3\times24=72[/tex][tex]6\times 12=72[/tex][tex]9\times 8=72[/tex][tex]16\times 4.5=72[/tex]Thus, the function which models the data is the [tex]nc=12[/tex].
Now, let us move on to the next part of the question:
If 12 students go on the trip then the cost per student as per this model will be:
[tex]\frac{72}{12}=6[/tex] dollars=$6
Therefore, out of the given options, the option the correct option is number B.
Answer:
nc=72,6$
Step-by-step explanation:
jeff pizza is cut into 8 equal pieces. he eats 1/2 of it. Samantha says he ate 2/8 of the pizza. how did she get the answer?
Answers
Answer:
4/8
Step-by-step explanation:
Can someone please help me find the arc length ?
Answers
653.12/360 = 1.814
arc length = 1.814 ( Round answer as needed)
Paul walks 2 miles in 25 minuets. How many miles can Paul walk in 137.5 miles
Answers
First thing we can divide 25/2 to get 12.5
Next we can multiply 137.5 * 12.5 to get your answer of 1,718.75 hope this helps
x= minutes walked in 137.5 minutes
2/25 = x/137.5
cross multiply
2*137.5 = 25*x
275 = 25x
divide both sides by 25
11 = x
He can walk 11 miles in 137.5 minutes.
Hope this helps! :)
Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds,one into fourths,one into sixths,and one into eights
Answers
Select all of the terms that apply to the shape.
pentagon
hexagon
heptagon
octagon
nonagon
decagon
regular polygon
irregular polygon
concave
convex
Answers
Answer:
The terms apply to the given shape are pentagon, irregular polygon and convex polygon.
Step-by-step explanation:
A polygon which have 5 sides called pentagon and if these sides are unequal then it is irregular pentagon or we can say irregular polygon.
A convex polygon is defined as a polygon with all its interior angles less than 180°.
Hence, the terms apply to the given shape are pentagon, irregular polygon and convex polygon.
Answer: Your answer is
convex, pentagon, irregular polygon.
Hope this helps!!! Trust me it's right I got mine right!!
One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side?
Answers
The width is x
5x+x+5x+x=72
12x=72
x=6
The length of the shorter side is 6 meters
Equation:
Step 1: x
Step 2: 5*x
Step 3: (5x*2)+(2*x)
Step 4: 10x+2x=72
Step 5: 12x=72
Step 6: x=6
So the answer is 6
Pythagorean Theorem in Cones. I need a lot of help.
Answers
(side1)^2 + (side2)^2 = (hypotenuse)^2
Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...
4^2 + height^2 = 8^2
If we solve for height, we get the following...
height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)
Since we are only asked for what is inside the square root, our answer is 48.
What is -4 + 3/2= ?
Answers
-4 + 3/2=
Exact Form:
-5/2
Decimal Form:
-2.5
Mixed Number Form:
-2 1/2
Answer:
[tex]\frac{-5}{2}[/tex], [tex]-2\frac{1}{2}[/tex], -2.5
Step-by-step explanation:
So what we want to do is get both of the numbers into the appropriate fraction. So we already have 2 as a fraction so lets just convert -4 into fraction form with a denominator as 2.
[tex]-4+\frac{3}{2}[/tex]
-4 in fraction form is [tex]\frac{-8}{2}[/tex]
We can determine that it is in the right fraction form as if you divide -8 by 2, you would get -4 as the answer so...
[tex]-4 = \frac{-8}{2}[/tex]
Now rewrite the equation now
[tex]\frac{-8}{2} + \frac{3}{2}[/tex]
Now simplify
-8 + 3 = -5
[tex]\frac{-8}{2} + \frac{3}{2}[/tex][tex]= \frac{-5}{2}[/tex]
-5/2
This can be simplified to [tex]-2\frac{1}{2}[/tex]
Or to the decimal form which is -2.5
Mrs Gomez is having a party to celebrate the hard work of the students in her class. Mrs Gomez has 34 students in the class. The tables in the classrooom only have room for ten students to sit at each table. How many tables does Mrs Gomez need in order to have for all 34 of the students to sit
Answers
Find the perimeter and area of the polygon enclosed by points
Answers
What does X represent in this story;
• Diego has 24 ounces of juice. He pours equal amounts for each of his three friends, and then add six more ounces for each.
The equation is
3(x + 6)= 24
X= 2
I need to know what X represents.
Answers
Here the total amount of the juice is 24 ounces. Diego poured equal amounts to his three friends. But that equal amount is unknown. Then he add 6 to each that is represented by x +6. Hence, the x is the initial amount poured to each three friends.
What is polynomial expression ?A polynomial expression is composed of some coefficients and indeterminants that involves basic basic arithmetic operations. Where the indeterminants or unknowns are basically represented by the letters x or y.
Here, Diego has 24 ounces of juice. He pours equal amounts of juice to his three friends. The mount he poured to each friends is unknown here. Hence, let it be x.
Then, he added 6 more ounces to each these x quantity that is represented by x + 6. Now, 3 friends have this x + 6 ounces of juice then total equals 24.
i.e, 3 (x + 6) = 24
3x +18 = 6
3x = 24- 18 = 6
x = 6/3 = 2.
Hence, here, x represents that Diego poured initially to each friends before adding 6 more ounce.
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Final answer:
In the story problem, x represents the initial amount of juice in ounces (2 ounces) that Diego pours for each of his three friends before adding an additional six ounces to each.
Explanation:
In the given story problem, x represents the initial amount of juice in ounces that Diego pours for each of his three friends before adding six more ounces to each. To understand what x represents, let's explore the equation 3(x + 6) = 24. This equation tells us that Diego has 24 ounces of juice in total, which is then divided equally among his three friends and after the division, he adds six more ounces to each friend's portion.
Now, if we follow the equation 3(x + 6) = 24 and solve for x, we find that:
Multiply each side of the equation by 1/3 to isolate the term with x, yielding x + 6 = 8.Then, subtract 6 from each side to solve for x, resulting in x = 2.This means that Diego initially pours 2 ounces for each friend and then adds 6 ounces to each, totaling 8 ounces for each friend.
to prepare for competitions your swimming coach required you to swim 8 lengths in the pool you swam 10 lenghts what percent of the required practice did you swim
Answers
Betsy is collecting coins she has 25 quarters 3times as many nickels than quarters and 2times as many pennies than nickels how many coins does Betsy have?
Answers
Answer: 250 coins
Step-by-step explanation:
Betsy has 25 quarters
let quarters = q
nickels = n
pennies = p
n = 3q = 3*25 = 75
p = 2n = 2* 75 = 150
she has total of 25 + 75 + 150= 250 coins
Two letter are chosen without replacement at random from the English alphabet. If y is considered to be a consonant, find the probability that both are vowels and that both are consonants
Answers
Final answer:
Explanation of the probabilities of choosing two vowels and two consonants from the English alphabet without replacement.
Explanation:
The probability of choosing two vowels:
There are 5 vowels in the English alphabet: a, e, i, o, u.
The total number of ways to choose 2 letters out of 26 is C(26, 2) = 325.
The number of ways to choose 2 vowels out of 5 is C(5, 2) = 10.
Therefore, the probability of choosing 2 vowels is 10/325 = 2/65.
The probability of choosing two consonants:
The total number of ways to choose 2 consonants out of the remaining 21 letters is C(21, 2) = 210.
Therefore, the probability of choosing 2 consonants is 210/325 = 42/65.
68 is decrease by 15%
Answers
0.68 x 15 = 10.2
68-10.2 = 57.8
57.8 is your answer
After decreasing by 15%, there will be 85% left
100% = 68
1% = 68 ÷ 100 = 0.68
85% = 0.68 x 85 = 57.8
find the length of the missing side of the right triangle. side is 8 bottom is 15 A. 289 B. 17 C. 23. D. 4.79
Answers
General Idea:
Pythagorean theorem states that in a right triangle, if side of triangle is given by ' a ', bottom of the triangle is given by ' b ' and hypotenuse of triangle is given by ' c', then Sum of squares of a and b is equal to the square of hypotenuse.
[tex] a^{2} \; +\; b^{2}\; =\; c^{2} [/tex]
Applying the Concept:
[tex] Given\\Side\;of\;triangle\;(a)\; =\; 8\\ Bottom\;of\;triangle\;(b)=15\\ \\ To\; Find\\Hyptotenuse\;(c)\\ \\ a^{2}+b^{2}=c^{2}\\ 8^2+15^2=c^2\\ \\ 64+225=c^2\\ \\ 289=c^2\\ \\ c^2=289\\ Taking \; Square\;root\;on\;both\;sides\\ \\ \sqrt{c^2}=\sqrt{289} \\ \\ c=17 [/tex]
Conclusion:
The length of the missing side of the right triangle, when side 8 & bottom 15 is 17. The correct answer is option B!!
name the set or sets of numbers to which negative 10 belongs to
Answers
I hope this helped! :-)
∠1 and ∠2 are vertical angles. ∠2 has a measure of 31°. What is the measure of ∠1 ? Enter your answer in the box. °
Answers
On this question is given that angles one and two are vertical, and the measure of one of them or angle two is 31 degrees.
As said before vertical angles are congruent, or have the same measurement.
Meaning that angle one is equal to 31 degrees.
6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich?
Answers
There are 8*7*6*5*4*3 = 20,160 ways they can all order different sandwiches.
Your probability is 1 - 20160/262144 = 3781/4096 ≈ 0.9231.
What is the solution to the following system of linear equations? 4y − 36 = −12x 3x + y = −9
Answers
Answer:
no solution :)
Step-by-step explanation:
Which type of data is presented on the y-axis
A. Age
B. Credit card debt
C. Age and credit card debt
D. Averages
Answers
Answer:
1.
Q: What is the purpose of a scatter plot?
A: B. To help visualize the relationship between two types of data.
2.
Q: What is Microsoft Excel particularly well-suited for?
A: D. organizing data
3.
Q: Which type of data is presented on the y-axis?
A: B. Credit card debt
4.
Q: How many people are presented on the scatter plot?
A: C. 13
5.
Q: Which of the following choices could be the approximate coordinates for the oldest person on the scatter plot?
A: A. (58, $7,800)
Just took it! 5/5 100%
Credit card debt is the type of data is presented on the y-axis
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to find the type of data presented on the y axis.
The given graph is a scatter plot.
A scatter plot uses dots to represent values for two different numeric variables.
The vertical line in the graph represents the y axis.
The horizontal line in the graph represents the x - axis.
In the given graph, the age is represented in the x axis and credit card debit is represented on the y-axis.
Hence, Credit card debt is the type of data is presented on the y-axis
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Someone help
i need help
Answers
c=24/6
the answer is :
4 ounces.
Dividing 24 by 6 gives you 4 ounces each sandwich.
Llene is making smoothies.The recipe calls for 1 1/4 cups of strawberries, How many cups of strawberries, written as a fraction greater than one, are used in the recipe?
Answers
Final answer:
The recipe calls for 1 1/4 cups of strawberries, which is equivalent to 5/4 cups when written as an improper fraction.
Explanation:
The question asks, "How many cups of strawberries, written as a fraction greater than one, are used in the recipe?" The recipe calls for 1 1/4 cups of strawberries. This quantity is already given in the form of a mixed number, which combines a whole number (1) and a fraction (1/4). To write it as a fraction greater than one, which is also called an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. So, the calculation would be (1 × 4) + 1 = 5, making the fraction 5/4. Therefore, the recipe uses 5/4 cups of strawberries written as an improper fraction.
Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet less than the height of Pedro's house. Pedro's house is 17 feet tall. How tall is the tree?
When responding to this question, please justify/explain your answer. You may use words, numbers and/or symbols to answer your question. Please write in COMPLETE sentences.
Answers
The tree is 15 feet tall
The tree in Pedro's front yard was 5 ft tall last year.
This year, the tree is 2 feet less than the height of Pedro's house.
let
the height of the tree = x
Therefore,
height of the house = 17 feet
17 - 2 = x
x = 15 ft
Therefore, the tree is 15 feet tall
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The tree in Pedro's front yard is currently 15 feet tall, which is 2 feet shorter than the height of Pedro's 17 feet tall house.
Explanation:Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet shorter than the height of Pedro's house. If Pedro's house is 17 feet tall, we need to calculate the tree's current height by subtracting 2 feet from the height of the house. Therefore, the tree's current height would be 17 feet - 2 feet = 15 feet tall.
There is a sales tax of $22 on an item that costs $272 before tax. The sales tax on a second item is $19.25. How much does the second item cost before tax?
Answers
The sales tax rate was calculated based on the information of the first item, and we found it to be approximately 8.09%. Using this tax rate, the pre-tax price of the second item, on which the sales tax was $19.25, was found to be approximately $237.85.
Explanation:To solve this problem, we first need to determine the percentage rate of the sales tax based on the first item. Given that a sales tax of $22 was applied to an item that cost $272 before tax, we can calculate the tax rate as follows: (22/272)*100 = 8.09%. This indicates that the tax rate is approximately 8.09%.
Next, if we assume that the sales tax rate is the same for the second item, we can calculate the pre-tax price of this item. Given that the sales tax on the second item is $19.25, the price of the item before tax can be calculated as follows: 19.25/0.0809 = $237.85 approximately. Therefore, the second item costs about $237.85 before tax.
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100-8301>7320<8393+939=?
Answers
It should read
-8201 < 7320 < 9332
or am I missing something?
Alice burned 320 calories at the gym. She burned 6 calories per minute on the treadmill and 10 calories per minute on the elliptical. Alice exercised for 45 minutes in all. How many minutes did she spend on the treadmill?
Answers
Answer:
The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.
Step-by-step explanation:
a can of soup contains about 553 cubic centimeters of soup. the height of the van is 11 centimeters. what is the approximate diameter of the can to the nearest centimeter?
Answers
V of cylinder = Area of base circle * height of the can
Area of a circle = pi*r^2
V = pi*r^2*11==> pi*r^2*11 = 553
==> r^2 = 553/11*pi
==>r^2 = 16
==>r = 4 cm for the radius, diameter = 2r = 8 cm
Idek what this is plz help me :)))
Answers
a.
3(2x - 1) + 2y = 5x
6x - 3 + 2y = 5x
x - 3 + 2y = 0
x - 3 = -2y
3 - x/2 = y
y = 3 - x/2
There - you've isolated y.
b.
600x + 200y = 500x
100x + 200y = 0
100x = -200y
x = -2y
And that's your isolated term for x.
Hope this helps. (: