Answer:
[tex]61\%[/tex]
Step-by-step explanation:
Cost in December[tex]=\$159[/tex]
Cost in January[tex]=\$62[/tex]
Total decrease in the cost[tex]=159-62=\$97[/tex]
[tex]Percentage\ decrease=\frac{97}{159}\times100\\\\=61.006\approx 61\%[/tex]
718.521 rounded to the nearest one
Answer:
719
Step-by-step explanation:
ones place is 8 and we add 1 if the right hand number is 5 or greater than 5.
Answer:
The answer is 719
Step-by-step explanation:718.521 when rounded up to the nearest one be comes 719 because .5 is converted to 9. Thanks
3/4÷5 equal djdjjfjfndjdjdjrj
Answer:
0.15
Step-by-step explanation:
3/4÷5
I need some help on this please and thank you
Please help! I really need help!
Answer:
hi there!
the equation for this dot plot will be: y=15x
Step-by-step explanation:
if you look at the dots on the graph (2, 30) and (4,60) they both satisfy the equation
Marcella bought 12/14 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.
How many yards of ribbon does Marcella have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
[tex]6\frac{1}{12}\ yd[/tex]
Step-by-step explanation:
The correct question is
Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.
How many yards of ribbon does Marcella have left?
we know that
To find out how many yards of ribbon Marcella has left, add up the yards of ribbon used for the gift packages plus the yards of ribbon used to tie the balloons. and subtract this result from the total yards of ribbon bought by Marcella
so
[tex]12\frac{1}{4}-(2\frac{1}{2}+3\frac{2}{3})[/tex]
but first convert mixed number to an improper fractions
[tex]12\frac{1}{4}=\frac{12*4+1}{4}=\frac{49}{4}[/tex]
[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]
[tex]3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}[/tex]
substitute in the expression above
[tex]\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})[/tex]
[tex]\frac{49}{4}-(\frac{5*3+2*11}{6})[/tex]
[tex]\frac{49}{4}-(\frac{37}{6})[/tex]
[tex]\frac{3*49-37*2}{12}[/tex]
[tex]\frac{73}{12}\ yd[/tex]
Convert to mixed number
[tex]\frac{73}{12}\ yd=\frac{72}{12}+\frac{1}{12}=6\frac{1}{12}\ yd[/tex]
Final answer:
After calculating the total ribbon used in yards and subtracting it from the amount Marcella bought, we find that she has 5 13/42 yards of ribbon left.
Explanation:
To determine how many yards of ribbon Marcella has left, we need to subtract the total amount of ribbon she used from the initial amount she bought. Marcella originally bought 12/14 yards of ribbon. She used 2 1/2 yards for gift packages and 3 2/3 yards for tying balloons.
To make the subtraction easier, we'll first convert the mixed numbers to improper fractions. The mixed number 2 1/2 becomes 5/2 when we multiply 2 (the whole number) by the denominator (2) and then add the numerator (1), resulting in 4 + 1 = 5 over the original denominator 2. Similarly, 3 2/3 becomes 11/3 when we multiply 3 (the whole number) by the denominator (3) and then add the numerator (2), resulting in 9 + 2 = 11 over the original denominator 3.
Now, let's perform the subtraction:
First, simplify 12/14 to 6/7 by dividing both the numerator and denominator by 2.
Next, find a common denominator for all three fractions. The least common denominator for 2, 3, and 7 is 42.
Convert each fraction to have the denominator of 42.
12/14 yards (or 6/7 yards when simplified) is (6/7) * (42/42) which equals 36/42 yards.
2 1/2 yards as an improper fraction is 5/2, and when converted to have a denominator of 42, it becomes (5/2) * (21/21) which equals 105/42 yards. Similarly, 3 2/3 yards is 11/3, and when converted to have a denominator of 42, it becomes (11/3) * (14/14) which equals 154/42 yards.
Now subtract both of these amounts from 36/42 to find out how much ribbon Marcella has left:
36/42 - 105/42 - 154/42 = (36 - 105 - 154)/42 = -223/42
Because we cannot have a negative amount of ribbon, we realize we made an error. We should add the fractions instead of subtracting:
36/42 - (105/42 + 154/42) = (36/42) - (259/42)
This simplifies to -223/42, which is an improper fraction. To convert this back to a mixed number, we divide 223 by 42.
223 divided by 42 is 5 with a remainder of 13, so Marcella has 5 13/42 yards of ribbon left. However, we need the positive value since ribbon length cannot be negative. Thus, we keep the positive difference:
Marcella has 5 13/42 yards of ribbon remaining.
In conclusion, after Marcella uses ribbon for gift packages and tying balloons, she is left with 5 13/42 yards of ribbon.
Can yall help me pls i really need help Pls
Answer:
Step-by-step explanation:
Money spent on jersey and pant = 65 * 17.50 + 65*11 = 65 * (17.50+11)
= 65 * 28.50 = $1852.50
Remember to use the information given to solve the problem. Rose visited 14 cities on her vacation. She bought 8 souvenirs in each city to send to her friends. Rose paid $2 in postage for each souvenir she sent. 1. What hidden question do you need to answer to find how much it cost Rose to send all of the souvenirs? 2. What strategies can you use to find how much Rose spent? 3. How much did Rose spend?
Answer:
14x+28, where x = cost of each souvenir
Step-by-step explanation:
Given that Rose visited 14 cities on her vacation. She bought 8 souvenirs in each city to send to her friends. Rose paid $2 in postage for each souvenir she sent. 1.
Here the cost of each souvenir is not given.
Let this cost be x
Then we get
Total cost = [tex]14x+2(14) = 14x+28[/tex]
2) Strategy used it total cost = cost of souvenir +cost of postage.
3) Rose spent 14x+28
Need help please!! And I have more questions too. AASAP!
Answer:
38 [tex]ft^{2}[/tex]
Step-by-step explanation:
We can see this figure as
WHOLE RECTANGLE - PORTION OF RECTANGLE CUT OUT
We know area of a rectangle is length * width
If this was the WHOLE RECTANGLE, the area would have been:
5 * 10 = 50 sq. ft.
The portion cut out is also a rectangle with dimensions:
Length = 6
Width = 5 - 3 = 2
Thus,
Area = 6 * 2 = 12 sq. ft.
So, the area of the figure is 50 - 12 = 38 sq. ft.
I need to know 3/8 + 1/6 in simplist form
Answer:13/24
Step-by-step explanation:
Answer:
13/24
Step-by-step explanation:
3/8+1/6=9/24+4/24=13/24
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary. 1.16 0.72 1.01 1.36 1.28 1.47 1.33 0.68 1.45 0.58 0.89
Answer:
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.580 0.805 1.160 1.085 1.345 1.470
The figure attached represent the boxplot obtained.
Step-by-step explanation:
We can use the following excel code:
data<-c(1.16, 0.72, 1.01, 1.36, 1.28, 1.47, 1.33, 0.68, 1.45, 0.58, 0.89)
> summary(data)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.580 0.805 1.160 1.085 1.345 1.470
We can order the data on increasing way:
> sort(data)
[1] 0.58 0.68 0.72 0.89 1.01 1.16 1.28 1.33 1.36 1.45 1.47
And for this case we got this:
The minimum on this case is: [tex]Minimum =0.58[/tex]
The maximum would be: [tex]Maximum = 1.47[/tex]
In order to find the median we need to find the value on the 6 position from the data ordered, and we got:
[tex]Median = 1.16[/tex]
And in order to obtain the boxplot we can use R to grapth the boxplot"
> boxplot(data,main="Boxplot")
And the result is on the figurea attached.
The five-number summary of the given data set is 0.58, 0.72, 1.16, 1.36, 1.47, representing the minimum, first quartile, median, third quartile, and maximum values of the data. These can be used to create a box plot to visualize the data.
Explanation:The five-number summary of a data set includes the minimum, first quartile, median, third quartile, and maximum values of the data set. Here's how we can find those for the given radiation absorption rates:
First, sort the data in ascending order: 0.58, 0.68, 0.72, 0.89, 1.01, 1.16, 1.28, 1.33, 1.36, 1.45, 1.47. The minimum is the first value: 0.58. The maximum is the last value: 1.47. The median (second quartile) is the middle value. With 11 values, it's the sixth, so the median is 1.16. The first quartile is the median of the first half of the data (excluding the overall median if the number of data points is odd). The first half of our data is 0.58, 0.68, 0.72, 0.89, 1.01, so the first quartile is 0.72. The third quartile is the median of the second half of the data. The second half of our data is 1.28, 1.33, 1.36, 1.45, 1.47, so the third quartile is 1.36.
So, the five-number summary is: 0.58, 0.72, 1.16, 1.36, 1.47.
To make a box plot, draw a number line from the minimum to the maximum and draw a box from the first quartile to the third quartile. Draw a line (the 'median line') inside the box at the median. Finally, draw 'whiskers' from the box to the minimum and maximum.
Learn more about five-number summary here:https://brainly.com/question/27477075
#SPJ3
what is -25+(-18) Evaluated
Answer:
[tex] - 25 + ( - 18) \\ - 25 - 18 \\ = - 43[/tex]
hope this helps you....
5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?
A X – X3 -- x² - x + 1
B x4 – x3 + x2 -- x + 1
C x4 + x3 -- x2 + x + 1
D x4 + x3 + x2 + x + 1
Answer:
B [tex]x^4-x^3+x^2-x+1[/tex]
Step-by-step explanation:
Given,
Dividend = [tex](x^5+1)[/tex]
Divisor = [tex](x+1)[/tex]
Step 1: First The dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when divided first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]
Step: 2 Now the new dividend is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]
Step: 3 Now the new dividend is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]
Step: 4 Now the new dividend is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]
Step: 5 Now the new dividend is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex] when divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Hence When the polynomial [tex](x^5+1)[/tex] is divided by [tex](x+1)[/tex] the answer or quotient will be equal to [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Please help!! Brainliest!!
Which expression is equivalent to x + y + x + y + 3(y + 5)?
A.
2x + 5y + 5
B.
2x + y + 30
C.
2x + 5y + 15
D.
2x + 3y + 10
Answer:
It's C.
Step-by-step explanation:
x + y + x + y + 3(y + 5)
= x + y + x + y + 3y + 15
= 2x + 5y + 15.
Answer:
2x + y + 30
C.
prove that a triangle with the sides a - 1 cm to root under a
Question is Incomplete, Complete question is given below.
Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.
Answer:
∆ABC is right angled triangle with right angle at B.
Step-by-step explanation:
Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.
We need to prove that triangle is the right angled triangle.
Let the triangle be denoted by Δ ABC with side as;
AB = (a - 1) cm
BC = (2√ a) cm
CA = (a + 1) cm
Hence,
[tex]{AB}^2 = (a -1)^2[/tex]
Now We know that
[tex](a- b)^2 = a^2+b^2 - 2ab[/tex]
So;
[tex]{AB}^2= a^2 + 1^2 -2\times a \times1[/tex]
[tex]{AB}^2 = a^2 + 1 -2a[/tex]
Now;
[tex]{BC}^2 = (2\sqrt{a})^2= 4a[/tex]
Also;
[tex]{CA}^2 = (a + 1)^2[/tex]
Now We know that
[tex](a+ b)^2 = a^2+b^2 + 2ab[/tex]
[tex]{CA}^2= a^2 + 1^2 +2\times a \times1[/tex]
[tex]{CA}^2 = a^2 + 1 +2a[/tex]
[tex]{CA}^2 = AB^2 + BC^2[/tex]
[By Pythagoras theorem]
[tex]a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a[/tex]
Hence, [tex]{CA}^2 = AB^2 + BC^2[/tex]
Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.
This proves that ∆ABC is right angled triangle with right angle at B.
Each student wears a name tag while at the aquarium the name tags are rectangles that are three inches long and five inches wide what is the area of each name tag
Answer:
15 in2
Step-by-step explanation:
3*5= 15
length*width= area
Hope it helped!!!
PLZ GIVE BRAINLIEST!!!!!
Answer: 16 square inch
Step-by-step explanation: 5+5+3+3=16
The formula to determine continuously compounded interest is A = Pe^rt, where A is the amount of
money in the account, P is the initial investment, r is the interest rate, and t is the time, in years.
What equation could be used to determine the value of an account with an $18,000 initial
investment at an interest rate of 1.25% for 24 months?
Answer:
[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]
[tex]A=18455.67[/tex] (Approximated)
Step-by-step explanation:
[tex]A=Pe^{rt}[/tex]
We are given the following along with the equation we are to use:
[tex]P=18000[/tex]
[tex]r=1.25\%=\frac{1.25}{100}=0.0125[/tex]
Be careful it says [tex]t[/tex] is in years and it gives us a time that is in months.
[tex]12 \text{months}=1 \text{ year}[/tex]:
[tex]t=\frac{24}{12}=2[/tex]
Let's plug in our information:
[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]
Plugging in the right hand side into my calculator gives:
[tex]A=18455.67[/tex] (Approximated)
20.
When starting your credit history, a low-credit-limit, high-interest-rate credit card should be paid
as much as you can when due
in even payments each time
at least the minimum due
in full, on time, every time
Answer:
in full, on time, every time
Step-by-step explanation:
in full, on time, every time because even if little is left out it would again a large amount together with the interest. Also as the limit is low it can easily be reimbursed
Solve for m.
3.6m=14.4
Enter your answer in the box.
Answer:
10.8
Step-by-step explanation:
we move the 3.6 to tge other side so the sighn of it will be negative the we subtract them so m=10.8
Answer:
m=4
Step-by-step explanation:
on the cordinate plane what is the distance between the ponts -4,6 and 9,6
Answer:
13Step-by-step explanation:
METHOD 1:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the coordinates of the given points (-4, 6) and (9, 6):
[tex]d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]
METHOD 2:
We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).
The formula of a distance between two numbers:
[tex]d=|b-a|[/tex]
We have
[tex]a=-4,\ b=9[/tex]
Substitute:
[tex]d=|9-(-4)|=|9+4|=|13|=13[/tex]
18) Which expression can go in the
to make the equation below true?
-3.5+ 3.4 +
= 0
a)
-3.5 + 3.4
b)
-3.5 + -3.4
c)
3.5 + (-3.5)
d)
3.5 + (-3.4)
Answer:
A)
Step-by-step explanation:
Two candidates ran for class president. The candidate that won received 80% of the 270 total votes. How many votes did the
winning candidate receive?
Answer:
216
Step-by-step explanation:
Multiply 80x270, which gives you 21,600, then move the decimal at the end of the number two times to the left and you'll get 216
The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled + x squared, 7 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 14 tiles below the negative x tiles are labeled negative. What are the factors of the trinomial? Select two options. x – 14 x + 7
Answer:
C. x – 7
E. x + 2
Step-by-step explanation:
Answer:
C. and E. on edge
Step-by-step explanation:
Translate the following question into an equation. What number is 99% of 33?
Answer:
32 is 99% of 33 cause 33 is 100% of 33
Step-by-step explanation:
Step-by-step explanation: First we have "what number" which we can represent by the variable x. Next we have is which means "is equal to" so we write an equals sign, then we have 99% which we need to write as a decimal so we move the decimal point 2 places to the left to get 0.99 and "of 33" means times 33.
Now we have the following equation.
X = (.99)(33)
Plz help:
Which mapping diagram represents a function from x → y?
(THE SECOND PICTURE IS NOT AN OPTION)
Option A is correct, A shows a mapping diagram which represents a function from x → y
What is a function?A relation is a function if it has only One y-value for each x-value.
A mapping diagram that represents a function from x to y is a diagram that shows a set of ordered pairs (x, y), such that each x-value has exactly one corresponding y-value
For option A, the ordered pairs are (4, 5)(5,5),(6,1),(8,2).
For each value of x there is only one value of y or else the values of x are not repeated so the diagram represents a function.
In other option the x has 2 values of y.
Hence, option A is correct, A shows a mapping diagram which represents a function from x → y
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ6
A mapping diagram that represents a function from x → y include the following: A. mapping diagram A.
What is a function?In Mathematics, a function is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set A) to an output variable (Set B).
Based on the mapping diagram shown above, we can reasonably infer and logically deduce that the inputs (4, 5), (5, 5), (6, 1), and (8, 2) are ordered pairs that represents a function because they indicate unique mappings of each input value to an output value.
Read more on function here: brainly.com/question/3632175
#SPJ3
I really need help. Please answer if you know the solution. Thx
D. The bottom one shows proportional relationships between x and y because it is y = .5x
Which value in the replacement set is a solution to this equation?
2n + 5 = 27
Replacement set: {11, 12, 13}
Drag Answer To The Box.
Answer:
11
Step-by-step explanation:
2x11 equals 22, and that plus 5 is 27
At washington middle school 64% of the students play a sport. if 192 play a sport, how many students attend washington middle school?
300 students attend Washington middle school.
Step-by-step explanation:
Given,
Percentage of students who play sport = 64%
Number of students who play sport = 192
Let,
x represent the total number of students at Washington middle school.
64% of x = 192
[tex]\frac{64}{100}x=192\\0.64x=192[/tex]
Dividing both sides by 0.64
[tex]\frac{0.64x}{0.64}=\frac{192}{0.64}\\x=300[/tex]
300 students attend Washington middle school.
Keywords: percentage, division
Learn more about division at:
brainly.com/question/1369568brainly.com/question/1386181#LearnwithBrainly
HELP PLEASE I DONT UNDERSTAND
Answer:
None of these
Step-by-step explanation:
A perpendicular bisector is a segment which intersects a given segment at a 90° angle, and passes through the given segment's midpoint. Since point T divides segment SU into two parts with lengths 46 and 62 units, VT is not a perpendicular bisector.
A median of the triangle is a segment joining a vertex to the midpoint of the opposite side. Since point T divides segment SU into two parts with lengths 46 and 62 units, VT is not a median.
An altitude of the triangle is a segment passing through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). The diagram doesn't show the right angle at point T (VT is not perpendicular to SU), then VT is not an altitude.
Thus, option None of These is true.
Victoria whit used 578 kw-hr of electricity in December the rate is 9.1 cents per kw-hr find the amount of her electric bill
Answer:
The amount of electricity bill is $52.60.
Step-by-step explanation:
Given:
Victoria whit used 578 kwh of electricity.
The rate is 9.1 cents per kw-hr.
Now, to find the amount of her electric bill.
Electricity used = 578 kwh.
Rate of electricity = 9.1 cents per kw-hr.
So, to get the amount we multiply the electricity used by the rate of electricity:
[tex]Amount\ of\ electric\ bill=Electricity\ used\times rate\ of\ electricity[/tex]
[tex]Amount\ of\ electric\ bill=578\ kwh\times 9.1\ cents[/tex]
[tex]Amount\ of\ electric\ bill=5259.8\ cents.[/tex]
Thus, the amount of electricity bill = 5259.8 cents.
Now, converting the amount from cents to $ by dividing:
$1 = 100 cents.
So, 5259.8 cents ÷ 100 = $52.60 .
therefore, the amount of electricity bill is $52.60.
6
3b3 + 10b2 = 0
A) Find the GCF
B) Factor out the GCF
C) What are the solutions?
Answer:
Step-by-step explanation:
The GCF is the common "thing" in each one of the terms in our polynomial. Since 3 doesn't divide evenly out of 10, 3 is not a GCF. But b-squared is common in both. So for part A. the GCF is b-squared.
part B. Factor out the GCF:
[tex]b^2(3b+10)=0[/tex]
For part C. What are the solutions? The solutions are found in the Zero Product Property which states that if the factors of a polynomial, when multiplied together, equal 0, then either one of the factors or both of the factors have to equal 0 because 0 times anything equals 0. That means that
[tex]b^2=0[/tex] and/or 3b + 10 = 0
Solving the first equation:
[tex]b^2=0[/tex] and b = 0.
Solving the second equation:
3b + 10 = 0 and
3b = -10 so
[tex]b=-\frac{10}{3}[/tex]