Answer: 115.5
Step-by-step explanation:
\(\frac{(27 * \frac{1}{2} + e^{2} )}{\frac{1}{3} } \\\\e = 5\\\\\\27 * 0.5 + 5^{2} = 13.5 + 25 = 38.5\\\\\frac{38.5}{\frac{1}{3} } = 3 * 38.5 = 115.5\)
Sara is shopping at staples and brought the following items.
6 folders for $0.25 each
2 boxes of pencils for $2.99 each
1 packof 3notebooks for $3.75
How much did Sara spend?
Answer:
18.73
Step-by-step explanation:
6 x 0.25 = $1.50
2.99 x 2 = $5.98
3.75 x 3 = $11.25
11.25+5.98+1.50 = 18.73
Natalie read 12 books in 8 months. What was her rate of reading in months per book
not going to lie, i was a little confused in the wording for this problem but im guessing the problem is asking for how much books is she reading in one month? ( im sorry if i read that wrong!! )
answer:
1 1/2 books
step-by-step explanation:
all you really need to do is dividing for this whole problem ( and you going to need to add/multiply if you wanted to double check )
first lets divide 12 and 8 by 4
12/4
= 3 books
8/4
= 2 months
now we just need to divide each problem by 2
3/2
= 1.5 or 1 1/2 books
2/2
= 1 month
because we dont need to round 1.5 to the nearest whole number, our answer is 1.5 books in 1 month
hope this helps you! if you need anymore help just ask me :)
-1.3125 as a fraction in simplest form
Answer: - 21/16 = 15/16 (simplified)
= - 1.3125 convert decimal to fraction
= - 13125/10000
= - 21/16 = 15/16 (simplified)
1. 6.381.52482
i’ll give brain
Answer:
whats the question i will edit it with the right answer
Step-by-step explanation:
Example 2: Use the Venn diagram to determine each set and the number of elements in each set.
helpppp
Using the Venn diagram, each set and the number of elements in each set are:
a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}
b. A = {1, 3, 4, 5, 6, 8}
c. B = {4, 5, 6, 7, 9, 11}
d. C = {6, 8, 9, 12}
e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}
f. A ∩ B = {4, 5, 6}
How to Use the Venn diagram to determine each set and the number of elements in each set?A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.
a.) U is the universal set. This implies it contains all the elements in the set. Thus:
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}
b.) A is all element (number) is set A (circle A). Thus:
A = {1, 3, 4, 5, 6, 8}
c.) B is all element is set B (circle B). Thus:
B = {4, 5, 6, 7, 9, 11}
d.) C is all element is set C (circle C). Thus:
C = {6, 8, 9, 12}
e.) A ∪ B is all element is sets A and B (circles A and B). Thus:
A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}
f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:
A ∩ B = {4, 5, 6}
Learn more about sets on:
brainly.com/question/21850160
#SPJ1
Write a number that is greater than 714,587
Answer:
714,588
Step-by-step explanation:
It is 1 more greater than 714,587
Bam
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
what is the exponential function property of domain?
Answer:
The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
solve the equation for x (2x+8=-1) round your answer to the tenth places
Answer:
x=-4.5
Step-by-step explanation:
2x+8=-1
step 1 subtract each side by 8
8-8 cancels out
-1-8=-9
now we have
2x=-9
step 2 divide each side by 2
2/2 = cancels out
\(\frac{-9}{2} =-4.5\)
x=-4.5
hope this helps!
A suitcase is 27 inches long and
24 inches wide. What is the
diagonal length of the suitcase?
Answer:
The diagonal is 30 inches
step-by-step explanation:
The diagonal is 30 inches
Step-by-step explanation:
Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this
a² + b² = c²
so we plug our two values to find the diagonal (hypotenuse)
24² + 18² = c²
576 + 324 = c²
900 = c²
c = √900
c = 30
The diagonal is 30 inches
A ratio of two angles is 5 to 3 and their sum is 180 degrees. Find the measure of each angle. The find their complements. Make a sketch, set up the corresponding equation and solve it.
Answer:
112.5
67.5
Step-by-step explanation:
We know the ratio is:
5:3
So, we can write it as:
5x+3x=180, with 5x being one angle, and 3x being the other
combine like terms
8x=180
divide both sides by 8
x=22.5
5(22.5)=112.5
3(22.5)=67.5
So, one angle is 112.5 and the other is 67.5.
Hope this helps!
Use 3.14 for pi to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary.
A. 51.12 m
B. 221.56 m
C. 448.25 m
D. 886.23
Answer:
B) 221 .56m
Step-by-step explanation:
This is it !
what grade are u in btw?
DUE TDYYYYY!!!!!!!??
The values that used to create the box and whisker plot
[using these values]
Minimum value: Lower whisker: 12
Q1: 23.5
Q2 (median): 36
Q3: 46
Maximum value: Upper whisker: 56
Here, we have,
Step 1: Order the data set from smallest to largest:
12, 19, 28, 32, 34, 38, 45, 47, 50, 56
Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):
Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:
Q1 = (19 + 28) / 2 = 23.5
Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:
Q2 = (34 + 38) / 2 = 36
Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:
Q3 = (45 + 47) / 2 = 46
Step 3: Calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 46 - 23.5 = 22.5
Step 4: Determine the whiskers:
Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR
Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR
Lower whisker limit: 23.5 - 1.5 * 22.5 = -10
Upper whisker limit: 46 + 1.5 * 22.5 = 79.5
Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.
Now, you can plot the box and whisker plot using these values:
Minimum value : Lower whisker: 12
Q1: 23.5
Q2 (median): 36
Q3: 46
Maximum value: Upper whisker: 56
Read more about whisker plot here:
brainly.com/question/27849170
#SPJ1
create a box and whisker plot for the following set of data
12, 19, 28, 32, 34, 38, 45, 47, 50, 56
What is the value of the point on the number line below?
The Point C is designated as the point on the number line below that has a value of 0.75.
A number line is what?The horizontal line is referred to as a number line. The numbers on the line in this measure how the number on the line might be responded to.
Since each line should be measured in increments of 5, the result should be 0.75, or three-fourths, if we were to count.
In basic mathematics, a number line is a visual depiction of real numbers. A magnitude line is depicted in the illustration. Each real number is taken to represent a point on the number line, where each point represents a real number. A number line has equal spaces between each increment. Only the actions indicated by the numbers on a line are acceptable responses. The question that corresponds with the number dictates how it should be used. B: State your case.
As a result, Point C on the number line below represents a value of 0.75 and should be taken into consideration.
To learn more about number line from given link
https://brainly.com/question/18883893
#SPJ1
Complete question -
Lily begins soving the equation 4(x -1) -x =3(x + 5) -
11. Her work is shown bekow.
How can her partial solution be interpreted?
O The equation has one solution: x =0.
O The equation has one solution: x=8.
O The equation has no solution.
O The equation has infinite solutions.
4(x-1) -X= 3(x + 5) -11
4x–4-X=3x + 15-11
3x-4= 3x + 4
PLEASE HURRY
Answer:4(x - 1) - x = 3(x + 5) - 11
Step-by-step explanation:
Lily's work:
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
Her partial solution, 3x - 4 = 3x + 4, can be interpreted as a FALSE statement because 3x - 4 does NOT equal 3x + 4.
Since it is a false statement, the equation has no solution.
The number of the solution will be infinity. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
4(x – 1) – x = 3(x + 5) – 11
Simplify the equation, we have
4x – 4 – x = 3x + 15 – 11
3x - 3x = 8
The variable x is eliminated.
Then the number of the solution will be infinity.
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Show all work to solve 3x2 − x − 2 = 0.
Answer:
x=-2/3 and 1
Step-by-step explanation:
3x^2-x-2=0
(3x+2)(x-1)
3x=-2
x=-2/3
x=1
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
For more questions on Congruent.
https://brainly.com/question/1675117
#SPJ8
Apollo Spas services 297 hot tubs. If each hot tub needs 155 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Apollo Spas will need 46.035 liters of muriatic acid to service all 297 hot tubs.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the total amount of muriatic acid needed for all of the hot tubs, we can multiply the amount needed for one hot tub (155 mL) by the number of hot tubs (297) and convert the result to liters.
First, let's convert the volume of acid needed for one hot tub from milliliters to liters by dividing by 1000:
155 mL ÷ 1000 = 0.155 L
Now we can find the total amount of acid needed for all of the hot tubs:
0.155 L/hot tub x 297 hot tubs = 46.035 L
Therefore, Apollo Spas will need 46.035 liters of muriatic acid to service all 297 hot tubs.
To learn more about Algebraic expression from given link.
https://brainly.com/question/953809
#SPJ1
_ divided by 4= _ remaider 5
Answer:
20 / 4 =5
Step-by-step explanation:
I think
I need help with this work please ASAP
You are canning 40 cups of applesauce. You have 20 glass jars, each of which will hold 134 cups of applesauce. Choose the correct explanation(s) that explain why you do not have enough jars.
You do not have enough jars because 20 jars will only hold 35 cups of applesauce.
You do not have enough jars because you have enough applesauce left to completely fill 2 more jars, and almost fill a third jar.
You do not have enough jars because you need a total of 40×134=70 jars.
You do not have enough jars because the 20 jars would need to hold 2 cups each, but each holds 14-cup less than that.
Answer:
B
Step-by-step explanation:
took the test
The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.
The function will be:
F = 2.40 + (0.40 × m)
F = 2.40 + 0.40m
where m = number of miles
F = taxi fare.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Each scoop radius (center to surface) is 3 cm long. What should be the capacity (volume) of the cylindrical container the shop pack the ice cream to take out? *
Answer:
\(28.26h\ cm^3\)
Step-by-step explanation:
The radius of the cylinder, r = 3 cm
We need to find the volume of the cylindrical container the shop pack the ice cream to take out.
The volume of a cylinder is given by :
\(V=\pi r^2 h\\\\=3.14\times 3^2h\\\\=28.26h\ cm^3\)
So, the volume of the cylindrical container is \(28.26h\ cm^3\).
Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class. art: mean absolute deviation of 2.1
Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?
Answer:
0.8 seconds sorry if im wrong
Step-by-step explanation:
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
(2x+1)(x-3)(x+5) expand and fully simplify
Answer:
2x^3+5x^2−28x−15
Step-by-step explanation:
1. If 2x + 3y = 14 and 3x + 2y = 12, then x + y = ?
A) 5
B) 6
C) 7
D) 8
Answer:
x + y = 5.2-----------------
Given system:
2x + 3y = 14 and3x + 2y = 12Add up the two equations to get same coefficient on both variables:
2x + 3x + 3y + 2y = 14 + 125x + 5y = 265(x + y) = 26x + y = 26/5x + y = 5.2As we see none of the choices match the answer. It means either question or answer choices are inaccurate.
Which ratios form a proportion
Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.
Rebecca rested in the playground 10 She then rollerbladed home.
Answer:
a) 6 minutes
b) 5 minutes
c) slower because it took her longer (6 minutes extra)
Step-by-step explanation:
Hope this helps have a great day! :)
I NEED HELP ASAP PLEASE GEOMETRY
Answer:
100°
Step-by-step explanation:
The sum of all the angles of a kite is 360°.
So:
360-(124+36)
=200
∠s = 200/2
=100°
Hope this helped lol