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Related Questions
William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17%, percent. What is the total price William pays for the basket of pomegranates?
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Which of the following shows 18/8 as a mixed number and 1 7/12 as an improper fraction?
A) 18/8 = 2 2/8 and 1 7/12=8/12
B) 18/8 = 1 5/4 and 1 7/12 = 1 12/7
C)18/8 = 9/4 and 1 7/12 = 17/12
D)18/8 = 2 1/4 and 1 7/12 = 19/12
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Add 3 7/12 + 2 7/9. Simplify the answer and write as a mixed number
A)13/36
B)5 1/3
C) 6 13/36
D)5 2/3
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
What is improper fraction and mixed number ?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Example 9/4 , 7/2
A mixed number is a number consisting of a whole number and a proper fraction. Example 1 3/8 , 3 1/3
FOR SOLVING THE QUESTION:
Rewriting 18/8 as a mixed number:
8/8=1 whole
So, let's see how many wholes we can get out of 18/8
18/8= (8+8+2)/8
= 8/8 +8/8 + 2/8
=1+ 1+1/4
18/8=2 1/4
Rewriting 1 7/12 as an improper fraction
1 7/12= 1+ 7/12
=12/12 + 7/12
=(12+7)/12
=19/12
Therefore, 1 7/12= 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
Learn more about improper fraction and mixed number here :
https://brainly.com/question/14517500
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What is the solution to the linear equation?
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There are some chickens and goats on a farm. Given that the animals have a total of 50 heads and 140 legs, how many more more chicken than goats are there ?
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Therefore, the number of chicken will be 50-x
Total number of legs the goats will have= 4x (goats have 4 legs)
Total number of legs chickens will have= 2(50-x) (chickens have two legs).
4x + 2(50-x)=140
4x+100-2x=140
2x+100=140
2x=40
x=20.
There are 20 goats and 30 chickens.
Solve 2x - 1 < 7 and 5x + 3 < 3. {x | x < 0} {x | x < 4} {x | 0 < x < 4}
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5x + 3 < 3; then, 5x < 0; then x < 0;
Finally, {x / x < 0};
Answer:
Solution for givrn system of inequalities: [tex]\{x ~| ~x < 0\}[/tex]
Step-by-step explanation:
We are given a system of two inequalities:
[tex]2x-1 < 7\\5x+3 < 3[/tex]
Solving the inequalities individually:
[tex]2x-1 < 7\\2x<7+1\\2x < 8\\x < 4\\\text{In interval notation: } x \in (-\infty, 4) \\\\5x + 3 < 3\\5x < 3-3\\5x < 0\\x< 0\\\text{In interval notation: } x \in (-\infty, 0)[/tex]
The intersection of the two solution will give us the solution to the system of inequalities:
[tex]x \in (-\infty, 4) \cap (-\infty, 0)\\ x \in (-\infty, 0) \\\{x ~| ~x < 0\}[/tex]
A pair of huskies can comfortably pull a sled with a person weighing 126 pounds If Marjorie wishes to carry an additional 252 pounds of gear, how many dogs will she need altogether?
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He was right the correct answer is six dogs
jace estimated the product of (34.57)(–0.74) by rounding each number to the nearest tenth. What was Jace’s estimate?
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Answer:
–24.22
Step-by-step explanation:
Answer:
-24.22
Step-by-step explanation:
(aka B on edge)
Marianne buys a house for 150,000 and the value of the house increases at a rate of 1.2% per year.How much will the house be worth in 10 years .Round to the nearest dollar.
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V(1) = 150000 + 150000(0.012)
V(2) = 150000 + (150000 + 150000(0.012))(0.012)
V(3) = .............
We need to do this up to 10 years. It would be a long and tedious process. We need to simplify the expression as follows:
We factor out the initial amount of the house and simplify further what is inside the parentheses. This would give us
V(x) = 150000 (1 + 0.012)^x
Substitute 10 to x,
V(x) = 150000 (1 + 0.012)^x10
V(10) = 169003.77
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x^2+1 inches, and its perimeter is 4(2x^2+1) inches. If x=3.5, how much Robbin does she need?
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2x3.5*2 power=24.5
4(24.5+1)=102
Solve 6x2 = 12x − 20.
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6x^2-12x=-20 divide both sides by 6
x^2-2x=-10/3 halve the linear coefficient, square it, and add it to both sides, in this case 1
x^2-2x+1=3/3-10/3 now the left sides is a perfect square
(x-1)^2=-7/3 take the square root of both sides
x-1=±i√(7/3) add 1 to both sides
x=1±i√(7/3)
*note that these are imaginary solutions, as the original equation is never true, or if you prefer, 6x^2-12x+20 is never equal to zero.
Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses how much did the roses cost?
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d = r + 3
r + 3 + 3r = 15
4r + 3 = 15
4r = 15 - 3
4r = 12
r = 12/4
r = 3 ....he bought 3 roses, at $ 3 per rose = $ 9 <==
d = r + 3
d = 3 + 3
d = 6....he bought 6 daisies, at $ 1 per daisy = $ 6
-daisies=x- -roses=y-
x+y=15
the sentence how he buys 3 more daisies than roses so...
(y=x-3)
you then plug in the value of y in the equation to have only one variable...
x+ 3(x-3)=15
you then multiply 3 to the parenthesis...
x+3x-9=15
then add 9 on both sides...
4x=24
and then divide 4 on both sides...
x=6
if you plug the value of x(daisies) in the equation...
6+y=15
you subtract 6 on both sides and get...
y=9
you can also get the answer by solving for y with x...
y=3(x-3)
(x=6)
plug in x...
y=3(6-3)
y=3(3)
y=9
Answer: the roses cost $9
A ball is thrown straight down from the top of a 499-foot building with an initial velocity of -29 feet per second. Use the position function below for free-falling objects.
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Find the quotient of quantity of negative 5 times x to the 3rd power plus 15 times x to the 2nd power minus 10 times x all over negative 5 times x. (5 points)
x2 + 3x − 2
x2 − 3x + 2
−x2 + 15x − 10
x2 − 15x + 10
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Answer:
x^2 - 3x +2
Step-by-step explanation:
[tex]\frac{-5x^3+15x^2-10x}{-5x}[/tex]
We divide the whole expression by -5x
When we divide by negative the sign of each term changes
We divide each term separately by -5x
-5x^3 / -5x = x^2
15x^2 / -5x = -3x
-10x/ -5x = +2
So the expression becomes x^2 - 3x +2
The given series has six terms. What is the sum of the terms of the series? 1 + 3 + 5 + . . . + 11
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5 + _ + _ + 11
To find them, add 2 to 5, which gives us 7, so the 4th term is 7, and then add 7 +2, which gives 9, so 9 is the 5th.
Now add all: 1 + 3 + 5 + 7 + 9 + 11 = 36
Your answer is 36.
Answer: The required sum of the terms is 36.
Step-by-step explanation: We are given that the following series has six terms :
1 + 3 + 5 + . . . + 11.
We are to find the sum of the terms of the series.
We see the following pattern in the consecutive terms of the series :
[tex]3-1=5-3= ~~.~~.~~.~~=2.[/tex]
So, the given series is an ARITHMETIC series with fist term 1 and common difference 2.
We know that
the sum of first n terms of an arithmetic series with first term a and common difference d is given by
[tex]S_n=\dfrac{n}{2}(2a+(n-1)d).[/tex]
For the given series,
first term, a = 1 and common difference, d = 2.
Therefore, the sum of first six terms will be
[tex]S_6=\dfrac{6}{2}(2\times 1+(6-1)\times2)=3(2+5\times2)=3(2+10)=3\times12=36.[/tex]
Thus, the required sum of the terms is 36.
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $50, and then they charge her $9 per hour. She has $200 available to spend on car rental. What is the greatest number of hours for which she can rent the car? (The car cannot be rented for part of an hour.)
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50 + 9x ≤ 200
9x ≤ 150
x ≤ 16.6
They said that the car cannot be rented for part of an hour so that means we must found it down. the max she can rent it for is 16 hours.
Check: 9*16 + 50 = 194 which is just under her budget
The correct answer is 16 hours
What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4
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Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]g(x)=a|x-h|+k[/tex]
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
[tex]f(x)=3|x+4|+1[/tex]
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
Which expression is equivalent to 56 + 21?
PLZ NEED HELP
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8 • 7 = 56. And 7 • 3 is 21.
Hope this helps :)
Our question is:
"Which expression is equivalent to 56 + 21?
A.) 7(49 + 14)
B.) 8(7 + 21)
C.) 8(48 + 13)
D.) 7(8 + 3)"
It appears our question wants us to answer our question with two-step expressions by applying the Distributive Property.
The Distributive Property allows any number/variable outside a parenthesis (with no order of operation symbol between the number/variable and the parenthesis) to multiply by all numbers/variables inside the parenthesis.
For example, this is how to properly apply the Distributive Property;
2(1 + 3)
2(1) + 2(3)
2 + 6
This is NOT how to properly apply the Distributive Property;
2(1 + 3)
2 + 4
Now that we've covered the basics of what we're dealing with, let's try to solve our question using the Distributive Property on our answer choices.
A.) 7(49 + 14);
7(49) + 7(14)
343 + 98.
343 + 98 [tex] \neq [/tex] 56 + 21
B.) 8(7 + 21);
8(7) + 8(21)
56 + 126.
56 + 126 [tex] \neq [/tex] 56 + 21
C.) 8(48 + 13)
8(48) + 8(13)
384 + 104
384 + 104 [tex] \neq [/tex] 56 + 21
Now, all we are left with is D, likely making it our only correct answer, but let's test it out anyways.
D.) 7(8 + 3);
7(8) + 7(3)
56 + 21
56 + 21 = 56 + 21
Your correct answer is D.) 7(8 + 3).
I hope this helps!
If you have any questions or concerns as to how I came to my answer or how to handle this, feel free to send me a message and I will respond asap. :)
A room contains 5 cats and 2 dogs. If the ratio is 5 to 2 the rate can be expressed as 5 cats __ 2 dogs
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Answer:
Per is the answer (Apex)
Step-by-step explanation:
Eva has borrowed 200 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x: A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 280 at increments of 40. A straight line joins the ordered pairs 0, 200 and 1, 160 and 2, 120 and 3, 80 and 4, 40 and 5, 0. Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points) Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
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PART A)
The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.
the initial value is 200 at 0 weeks, which means that there are 200 songs to be downloaded at the beginning
PART B)
calculate the slope:m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
m = -40
now use the line equation in form of point-slope
y - y1 = m(x - x1)
y - 200 = -40(x - 0)
y = -40x + 200
Answer:
Each week the amount of songs that need to download decreases by 40. So The rate of change is -40 songs each week. The initial value is 200 because that is the number of songs left to download.
Part B:
y = -40x + 200
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side
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You have 24 square pieces of wood. You could lay them out in the following fashion. First number is the number of rows. Second number is the number of columns. For example:
1,24 is 1 row by 24 columns. Here goes:
1,24
2,12
3,8
4,6
6,4
8,3
12,2
24,1
i believe that's all.
It winds up being the number of ways you can multiply two integers to get 24.
Write the phrase as an algerbraic expression. 4 times the sum of a number and 20
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Which set of steps shows the solution to the equation 2y = −8?
A) y = −8 − 2; y = 6
B) y = −8 ÷ (−2); y = 4
C)y = −8 ÷ 2; y = −4
D) y = −8 − (−2); y = −6
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please vote my answer brainliest. thanks!
C is correct answered first give me brainliest plus 5 star rating.
I need some help please
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answer (0,10) see pic:
This is the 3rd one I have helped with, you should start seeing a pattern with the answers.
NEED ANSWER NOW! Worth LOTS OF POINTS!!!
In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions c/a=a/f and c/b=b/e ?
a) the geometric mean (altitude) theorem
b) the geometric mean (leg) theorem
c) the right triangle altitude theorem
d) the SSS theorem
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In a right triangle, if we draw an altitude, from the vertex which contains the right angle, to its opposite side, the triangles at both sides of this altitude are congruent and hence congruent to the whole triangle.
The above is called the Right angle altitude theorem.
In PYthagorean theorem, we use the above theorem to prove the proportionate values are equal.
Answer:
It is C
Step-by-step explanation:
In the rectangle below, the two quarter circles are congruent. Find the area of the shaded of the shaded region.
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length = 12
width = 6
area of rectangle = length times width = 12 x 6 = 72
area of circle = pi r^2 = 3.14 (6)^2 = 113.1
1/2 circle = 113.1 / 2 = 56.55
the area of the shaded of the shaded region = 72 - 56.55 = 15.45
answer
15.45
mrs. Williams uses the following recipe for crispy rice treats. She decided to make 2/3 of the recipe. 2 cups of melted butter, 24 oz marshmallow, 13 cups rice crispy treats.
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Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
Fraction number is used to represent the part of a whole. For cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.
Given -To cook full recipe Mr. Williams needs the 2 cups of melted butter, 24 oz marshmallow, and 13 cups rice crispy treats.
In the given question Mr. Williams wants to cook 2/3 of the recipe. For this he need to add all the ingredients in the 2/3 value as compare to the original recipe units.
Fraction numberFraction number is used to represent the part of a whole.
Required cups of melted butter is,[tex]\rm Butter = \dfrac{2}{3} \times 2[/tex]
[tex]\rm Butter = \dfrac{4}{3}[/tex]
Hence, the for the above question we need 4/3 cups of melted butter.
Required oz marshmallow-[tex]\rm oz \ marshmallow= \dfrac{2}{3} \times 24[/tex]
[tex]\rm oz \ marshmallow= 16[/tex]
Hence, the for the above question we need 16 units of oz marshmallow.
Required cups of rice crispy treats-[tex]\rm Rice \ crispy \ treats=\dfrac{2}{3} \times 13[/tex]
[tex]\rm {Rice \; crispy \; treats}=\dfrac{26}{3}[/tex]
Hence, for cook the 2/3 of the recipe Mr. Williams need 4/3 cups of melted butter, 16 oz marshmallow, and 26/3 cups of rice crispy treats.
Form more about the measurement follow the link-https://brainly.com/question/5014667
Ricky made 86 phone calls in 3 months. In the first month she made 21 calls, and in the second month she made 19 calls. How many calls did she make in the third month? 21 40 46 65
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Work:
19+21+40, and 86-40 =46
7,125,000,000 what is this to the nearest billion
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Find all residues (A) such that (A) is its own inverse modulo 317.
Simpler version: Find all numbers (A) that equal its own inverse modulo 317
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To solve for the value of the residues A, we can use the formula:
A^2 = 1 (mod prime)
This is only true for prime numbers. The given number which is 317 is a prime number therefore the values of the residues A are:
A = + 1, - 1
Since I believe the problem specifically states for the list of positive integers only and less than 317, a value of A = - 1 is therefore not valid. However, a value of – 1 in this case would simply be equal to:
317 – 1 = 316
Therefore the residue values A are 1 and 316.
The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?
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6x + 30= 270
6x = 240
x = 40
all numbers are 40,42,44,46,48,50
second number = 40 + 42 = 42
Let's take a look at this problem... okay so it tells us we have six consecutive even numbers... *** this means that there are six even numbers that come after each other in order *** ( for example: 2, 4, 6, 8...)
since we don't know these numbers let's start off by giving them variable values....
x = 1st number
x + 2 = 2nd number ----> I added 2 to x cuz the next even number comes x + 4 = 3rd number two spots after
x + 6 = 4th number
x + 8 = 5th number
x + 10 = 6th number
now let's form an equation with all this....
(x) + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 270
6x + 30 = 270
6x = 240
x = 40
Now we plug x into the 2nd number's "equation"....
x + 2
40 + 2
42 <----- That's your answer!
Hope this helps! :D
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