1. First, divide both sides of the equation by 4.
1÷4 x³/4 = –27/4/4
2. Next, on the left side of the equation, use inverse operations to get rid of the division. This will give us x³ = –27.
3. Then, to solve for x, take the cube root of both sides of the equation.
Cube root of x³ = cube root of –27
4. To check your answer, plug in -3 for x in the original equation and solve.
1÷4 x³ = –27/4
1÷4 (-3)³ = –27/4
1÷4 (-27) = –27/4
1 = 1
Since 1 = 1, the answer checks out.
Therefore, the solution to the equation is x = -3.
Answer:
-3, 3+3i[tex]\sqrt{3}[/tex]/2, 3-3i[tex]\sqrt{3}[/tex]/2
Solve the inequality d/4 > 36 for d
A. d < 9
B. d < 144
C. d > 144
D. d > 9
Answer: D. d > 9
Step-by-step explanation:
We have the inequality:
d/4 > 36
To solve for d, we need to isolate the variable d on one side of the inequality. We can do this by multiplying both sides of the inequality by 4:
d > 36 x 4
d > 144
Therefore, the answer is (D) d > 9, since any value of d greater than 9 would satisfy the inequality. We can also check that the other answer choices are incorrect:
If d < 9, then d/4 < 9/4, which is less than 36. So, (A) d < 9 is not a valid solution.
If d < 144, then d/4 < 144/4 = 36, which is less than 36. So, (B) d < 144 is not a valid solution.
If d > 144, then d/4 > 144/4 = 36, which satisfies the inequality. So, (C) d > 144 is also a valid solution, but not the most inclusive one.
Answer:
the correct answer is option C: d > 144.
Step-by-step explanation:
Luke has 1/5 of a package of dried apricots. He divided the dried apricots equally into 3 small bags. Luke gives one of the bags to a friend and keeps the other two bags for himself, what fraction of the original package of dried apricots did Luke keep for himself? (answer in simplest form)
Answer:
Luke kept 1/3 to himself
Step-by-step explanation:
a sample of 500 schools in a state results in an average number of students per grade level of 178.6 students, with a margin of error of 45.2 if there are 3250 high schools in the state, what is the estimated number of students per grade level?
Solve the word problem and ratio table
Answer:
4
Step-by-step explanation:
5tv
7, 11, 4, 2=10 What are the missing symbols?
Answer:
Step-by-step explanation:
Given : 7 11 4 2 =10. To Find : make it true using order of operations. Solution: 7 11 4 2 =10. 7 + 11 - 4 x 2 = 10. Applying BODMAS.
Triangle ABC is a scale drawing of Triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.
Answer: B the side length of XZ is 28
Step-by-step explanation:
to find the scale factor, one of the methods is to divide the side length of one triangle by the same side length of the other triangle.
for example with this problem, the length of XY is 42 while side length AB is 12. 42/12 is 3.5. we know that the side length that corresponds with XZ is 8 so multiply it by 3.5 to get the answer of 28.
Answer:
B
Step-by-step explanation:
Since we know that triangle XYZ is a scale model of ABC then if we find the amount XYZ is bigger then ABC then we can find the answer. Line CB is the corresponding line to ZY and ZY is 3.5x greater then CB. Apply the same logic to AC and we get 8*3.5=ZX 8*3.5=28 so ZX=28.
The histogram to the right shows the number of students in a PE class with their mile running times.
a. How many students are in the PE class?
b. Which interval would have the time 8 minutes?
c. In which interval of time did most students finish?
d. Find the probability a random student chosen ran with a time between 6 and 7 minutes.
e. The teacher teaches a total of 120 students in all PE classes. Predict how many students will run between 6 and 7 minutes.
Answer:
please send a clear image
Step-by-step explanation:
Can you help me with this anyone I would appreciate it.
Answer:
(x,y) = (-3,7)
Step-by-step explanation:
you gotta do alot to get this..
hope this helps
Can someone pls help this is due today before 6!
Answer: .25
Step-by-step explanation:
on x bar 0 and y bar 0 connect them at a 90 angle and from the middle that go diagonal top right.
The sanctuary′s gift shop purchases items for the amounts shown in the table. Leo marks up the cost of each item by 45% to determine the gift shop′s selling price. How much would a customer pay for one pair of binoculars and one bird guide after the markup and 8.5% sales tax? Explain.
Step-by-step explanation:
The customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
According to the given, the required solution would be as:
Mark up for binoculars = 10 x 1.45 = 14.50
14.5 x 1.085 = 15.7325 in sales tax
The total cost per binocular is $15.73 ($).
Bird Guide Commission = 7 x 1.45 = 10.15
10.15 x 1.085 = 11.01275 Sales Tax
The total cost per Bird Guide is $11.11 ($).
The addition provides one of each.
⇒ 15.73 + 11.01 = 26.74
Thus, the customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
What is the approximate difference between the volume of the sphere and the volume of the cone?
A about 13.6 cm3
B about 16.8 cm3
C about 4.3 cm3
D about 80.6 cm3
Answer:C
Step-by-step explanation:
Could someone help me with this quikly
Answer:
Plan A=3/2 hours Plan B=5/4 hours
Step-by-step explanation:
Plan A equals x
Plan B equals y
So than 3x+2y=7
And 8x+4y=17
Then you multiply the first equation by 2 to get rid of Y. 6x+4y=14 and 8x+4y=17 2x=3 x=1.5 y=1.25
create equivalent ratios by completing a ratio table for each. 1. 7 to 5 ( using multiplication), 2. 50:20 ( using division), 3. 3/4 (using multiplication), 4. 18:48 ( using division)
ASAP
Step-by-step explanation:
7 : 5
[tex] \binom{7 \: 14 \: 21 \: 28 \: 35}{5 \: 10 \: 15 \: 20 \: 25} [/tex]
50 : 20
[tex] \binom{50 \: 25 \: 5}{20 \: 10 \: 2} [/tex]
3 : 8
[tex] \binom{3 \: 6 \: 9 \: 12 \: 15 \: 18}{8 \: 16 \: 24 \: 32 \: 40 \: 48} [/tex]
18 : 48
[tex] \binom{18 \: 9 \: 6 \: 3}{48 \: 24 \: 16 \: 8} [/tex]
Ratios must always remain proportional;
Whenever you multiply or divide one part by a number, you must do the same to the other part/s;
When it comes to division, you can divide by all common factors
Rewrite the false statement to make it true:
Answer: more than 500 shirts will be washed each day
Step-by-step explanation:
Gaspar is riding his bicycle. The graph shows the relationship between time in hours and the miles Gaspar rides. Write an inequality to show the number of hours when Gaspar has ridden more than 80 miles.
Answer:
Step-by-step explanation:
b
Melvin pays $49.95 for his gym membership. After that he pays $3.95 for each visit to the gym. What is the greatest number of visits he can afford if the total amount he spends cannot be more than $125.00?
Answer:
Melvin can only visit the gym twice if he cannot spend more than $125.00.
Step-by-step explanation:
$49.95+3.95=$53.9
$53.9x2=$107.8
If he were to visit the gym three times, he would pay $161.7. Therefore, he can only visit the gym twice to stay in his price range.
The Gilberts are you designing a rectangular patio for their backyard. The patio has an area of 432 square feet. The width of the patio is 3/4 its length. What is the length of the patio?
A: 15 feet
B: 24 feet
C: 36 feet
D: 270 feet
Answer: B: 24 feet.
Step-by-step explanation:
Let's assume that the length of the rectangular patio is "L" feet. Then, the width of the patio would be 3/4 L.
The area of a rectangle is given by the formula A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the patio is 432 square feet. Substituting the values of L and W, we get:
432 = L x (3/4 L)
Multiplying both sides by 4/3, we get:
(4/3) x 432 = L^2
Simplifying, we get:
576 = L^2
Taking the square root of both sides, we get:
L = ±24
Since the length cannot be negative, the length of the patio is 24 feet.
Therefore, the correct answer is option B: 24 feet.
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 432 miles apart?
The number of students in 10 kindergarten classes is shown below.
20, 18, 21, 18, 22, 24, 18, 23, 23, 24
What number of students describes the first quartile?
What number of students describes the third quartile?
What number of students describes the interquartile range?
Answer:
1. 18
2. 23
3. 5
Step-by-step explanation:
The first quartile is 18, the third quartile is 23, and the interquartile range is 5.
please answer question in the image below ty <3
Answer:
Step-by-step explanation:
(9x+13)
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?
Answer: 900
Step-by-step explanation:
If 24 out of 80 students are undecided, that is 24/80, or 3/10 (0.3).
To find how many would be undecided out of 3,000 students, multiply 3/10 by 3,000/1, and you get 900, which is your answer
Answer:
900
Step-by-step explanation:
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?
we can solve with an equation
80 : 24 = 3000 : x
x = 24 * 3000 : 80
x = 900
Isabella drove 2 1/3 miles from home to school. Then, she drove 4 3/5 from school to the store and 5 4/5 miles home from the store. Write an addition sentence to show the total number of miles.
50 POINTS SHOW YOUR WORK OR I WILL DELETE! !BRAINLIEST!
There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is not yellow is 1 : 2. How many pieces of chalk are yellow? Show or explain how you got your answer.
Answer:
9
Step-by-step explanation:
1:2 is the same as 1/2
if 1/2 of the chalk is yellow, then divide 18/2
18/2 = 9
Answer:
6
Step-by-step explanation:
so do a tape diagram with 1 box and underneath 2 boxes you then divide 3 boxes by 18 giving you 18.
Drag each expression to show whether it is equivalent to 8( t+ 4), 8 t+ 4, or neither.
i need more help with this lesson
Answer:
Step-by-step explanation:
USE THE DOT PLOT GRAPH TO FIGURE THIS OUT!!
What is the most appropriate measure of center for the data set about 7th graders?
A)mean
B)median
C)range
D)IQR
Answer:
The most appropriate measure of center for the given data set about 7th graders is the median (option B).
Step-by-step explanation:
The median is the middle value in a data set when the values are arranged in ascending or descending order. It is not affected by extreme values or outliers. There is an outlier in this case (180), which could alter the mean and represent the data inaccurately. The range does not give a measure of center but instead represents the spread of the data. The IQR is a valuable measure for understanding the spread of data and identifying potential outliers but is not suitable for describing the central tendency or average of the data.
What is the constant of proportionality?
also I will mark brainliest !!
Answer:
I dnt know the ture answer, but mabye this will help
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Please Help
Show that pentagon CDEFG is similar or not similar to pentagon PQRST. [Image in the attachment]
Are the two pentagons similar? How do you know?
-No, because all corresponding sides are not congruent.
-Yes, because all corresponding sides are proportional.
-No, because all corresponding sides are not proportional.
-Yes, because all corresponding sides are congruent.
C. no, because all corresponding sides are not proportional.
Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.
Write and solve an inequality to determine how many yards each friend will swim. Show all your work.
Answer:
400
Step-by-step explanation:
I divided 1600 by 4 which got me 400
Which unit rate corresponds to the proportional relationship shown in the graph?
Will mark brainliest !!
Haven't done this kinda problem in a while but I got 4/3 cm/s
Step-by-step explanation:
Using the coordinates given i put them into the formula:
y1 - y2
m=_________
x1 - x2
That gave me -16/-12, I simplified & got 4/3.