Sweatshirts at the discount store are on sale for 30% off the original price. If a sweatshirt
costs $30:
A) What is the discount?
B) What is the new price of the sweatshirt?
(Show your work)
A spherical cantaloupe is cut in half. The visible cross-section has an area of 5252 in2. The volume of the cantaloupe is _____ cm3. Round your answer to the tenths place.
Answer:
V = 286319.465 cm3
Step-by-step explanation:
First, you have to find the radius to be able to find the volume of a sphere.
The equation for the area of a circle is pi r^2 so you have to so some algebra.
5252 = pi r ^2
5252/pi = r^2
1671.76352 = r^2
sqrt(1671.76352) = r
r = 40.8872048
then you do the equation for the volume of a circle which is 4/3 pi r^3
4/3 pi (40.8872048)^3
4/3 pi 68353.7373
4/3 214739.599
286319.465
V = 286319.465 cm3
A ticket selling company charges a service charge of $4 to buy tickets.
Each ticket costs $55. Which equation represents the cost of buying
tickets through the company.
Answer=D, Y=55x + 4. This is the answer.......
Btw: this is my first answer I done ;)
Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x
a line has a slope of 9/5 if one of the points on the line is (-10, -16), which of the following could be another point on the line?
Answer:
(0,2) is the answer - Option C.
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope and the point is [tex](x_0,y_0)[/tex]
Slope of 9/5 if one of the points on the line is (-10, -16)
This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]
[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]
Which of the following could be another point on the line?
We have to find a point for values of x and y which gives us an identity. So
Option A:
x = -5, y = -6
Lets see
[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]
[tex]10 = \frac{9*5}{5}[/tex]
[tex]10 = 9[/tex] -> False
So this is not the answer.
Option B:
x = 4, y = 11
[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]
[tex]27 = 9*14/5[/tex]
False
Option C:
x = 0, y = 2
[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]
[tex]\frac{90}{5} = 18[/tex]
[tex]18 = 18[/tex]
True, so (0,2) is the answer - Option C.
In a different field
number of goats: number of pigs = 13:4
Priya says.
"There are more than three times as many goats as pigs
Is she correct?
Tick one box
Yes
NO
Cannot tell
Show working to support your answer.
Answer:
yes
to determine if the statement is true, divide the ratio of goats by the ratio of pigs
13/4 = 3 1/4
there are 3 1/4 more goats as their are pigs
Step-by-step explanation:
Ethan needs to buy 20 T-shirts for the basketball team. If there are 10 T-shirts in each pack, how many packs of T-shirts should Ethan buy?
Answer:
2 packs
Step-by-step explanation:
because 10+10 =20 so he would buy 2 packs of t-shirts :)
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
The locus of points in a plane 3 units from the line y = 1
Answer:
Option B, 2 parallel lines
Step-by-step explanation:
Complete question
The locus of points in a plane 3 units from the line y = 1
A ray
B. 2 parallel lines
C. circle
D. plane
Solution
A group of points whose location is determined by more than one or at least one specified condition is called a locus. Locus of a line could be a set of points that form a line or a surface satisfying the condition of line in the plane.
Hence, option B is correct
Write the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form
What is the equation
Answer:
[tex]y = 4x+17[/tex]
Step-by-step explanation:
1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
[tex]m[/tex] represents the x and y values of one point the line intersects, so substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:
[tex]y-5 = 4(x+3)[/tex]
2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:
[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]
The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The line's equation in point-slope form is;
y = mx+c
We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;
y-y₁=m(x-x₁)
y-5=4(x-(-3)
y-5=4(x+3)
y--5=4x+12
y-4x+17
Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
To learn more about the slope refer to the link;
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please answer this and not take the points or I will report you
A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?
Answer:
30
Step-by-step explanation:
120÷4=30 (4 because a square has 4 sides)
and you can check it by doing 4×30=120
hope this helped
Find the value of x in the triangle shown below.
1
13
2
12
Choose 1 answers
Answer:
x = 5
Step-by-step explanation:
a² + b² = c²
x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25
[tex]\sqrt{x^2} =\sqrt{25}[/tex]
x = 5
4) You are making a batch of cookies. Each batch uses 3 cups of flour and will give 7 servings. You
are going to multiply your recipe to offer more servings, so you use 11 cups of flour. How many
servings will you actually be able to offer?
a. 22
b. 25
31
d. 38
C.
rolexing and upsetting. For at that time I had already
Answer:
B is correct
Step-by-step explanation:
I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer :)
Answer:
i dont know what set a or b is...I would love to help you though...see below.
Step-by-step explanation:
Mean is best used for a data set with numbers that are close together.
The median is the midpoint value of a data set, where the values are arranged in ascending or descending order.
In addition, the standard deviation, like the mean, is normally only appropriate when the continuous data is not significantly skewed or has outliers.
You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even.
This can be useful if you are measuring a variable that has either a critical low or high threshold (or both) that should not be crossed. The range will instantly inform you whether at least one value broke these critical thresholds. In addition, the range can be used to detect any errors when entering data.
Quantile classification is ideal for ordinal data. When you have a clear ordering of the variables, then this is one of the advantages of quantity classification. If you want to rank data into categories such as high, medium, and low, this is another opportunity to use quantile classification
The price of milk has been increasing by 4% per year. If he gallon of milk cost exactly 3 dollars right now, how much should it cost in 4 years?
Ella wants to estimate the product (3.6)(7.8). Which expression shows each factor rounded to the nearest whole number?
(3)(7)
(4)(8)
(3)(8)
(4)(7)
Answer:The second option is correct.(4).(8) 3.6 would be rounded to 4, and 7.8 would br8
Step-by-step explanation:
Please Help me with this thank you
A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators leave the ground through various exits at the rate of 5 spectators per seconds. After 20 minutes the stadium contain 60% of its full capacity of spectators.
A. Calculate the full capacity of the stadium
B. How many spectators will be in the stadium 1 hour after the end of the game?
Answer:
A. 30000
B. 12000
Step-by-step explanation:
Find out how much spectators leave in 1 minute.
1 second = 5
1 minute = 5 x 60 = 300 (60 seconds)
20 minutes = 300 x 20 = 6000
Since there were only 80% of the full capacity of spectators and after minutes it became 60%...
80% - 60% = 20%
20% = 6000
1% = 6000 ÷ 20 = 300
100% = 300 x 100 = 30000
1 minute = 300 spectators leaving
1 hour = 300 x 60 = 18000 (60 minutes)
30000 - 18000 = 12000
what is solution to
12²-5²
Answer:
119.
Step-by-step explanation:
12x12 is 144
5x5 is 25
144-25 = 119
What is the answer!! I need HELP!! ASAP apps be accurate of ur answer and look at the pic
Answer:
105, I think if not please tell me it isn't!
Help please I’ll mark brainliest
Answer:
y=7x
Step-by-step explanation:
Robert climbed 775 steps in 12 and one half (1/2) minutes
How many steps did he average per minute?
In a sequence of numbers, a4=12, a5=14, a6=16, a7=18, and a8=20.
Which equation can be used to find the nth term of the sequence, an?
a) an=2n+4
b) an=2n+12
c) an=3n
d) an=3n+12
I'm pretty sure it's a, but I just wanna check if I did the work right!
Answer:
you are right, it's a)❤
Step-by-step explanation:
a4=12---> put the formula in it
2×4+4=12
a5=14---> 2×5+4=14
a6=16---> 2×6+4=16
.
.
.
hope it helps❤
A new robotic toy was selling for $24 before it become very popular. The store raised the price by 25%. What was the cost of the toy after the markup?
Answer:
$30
Step-by-step explanation:
So we know that the toy cost 24 dollars. We also know that the cost is increased by 25%.
What is 25% of 100%? Thats 1/4. So, what is 1/4 of 24? That will be 6.
Since we are increasing the cost by 25%, we are increasing 24 dollars by 6. 24 plus 6 equals 30.
So the answer:
$30
Ti⊂k∫∈s ω∅∅p
Find the range of the data
5,9,13,6,4,5,8,12,12,6
Answer:
9
Step-by-step explanation:
highest value: 13
lowest value: 4
13-4= 9 which is the range
Answer: 9
Step-by-step explanation: 13-4=9
Some one please help me ASAP
Answer:
The answer is 4
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
You have two angles given 90(right angle) and 57.
Add them to get 147 then subtract from 180.
180 - 147 = 33
Set 33 equal to the expression
33 = 4x + 17
33- 17 = 4x
16 = 4x
4 = x
Which expressions represent 1 more than the product of 5 and 2?
William is making a pie. He uses 1/2 cup of blueberries and 2/3 cup of raspberries. What is the total amount of berries in William’s pies? *
1 point
3/5 cup
2/6 cup
one and 1/6 cups
3/6 cup
Helpppp me plzzzzzzz ALSO IM SERIOUS NO FILESSSSSSSS!!!! PLESE SOME ONE HELP ME
Answer:
one and 1/6 cups (1 1/6)
Step-by-step explanation:
2/3 + 1/2
TOTAL means addition.
To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).
The denominator of 2/3 is 3.
The denominator of 1/2 is 2.
Now, we list the multiples of the denominator and find the lowest multiple they have in common.
3: 3, 6, 9, 12, 15
2: 2, 4, 6, 8, 10
The lowest number they have in common is 6.
Second, we change the denominators to 6.
In 2/3, to make 3 into 6, we have to multiply it by 2.
Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.
2/3 x 2/2 = 4/6
Now we do the same for 1/2.
1/2 x 3/3 = 3/6
Now, we add the new fractions.
4/6 + 3/6 = 7/6
7/6 = 1 1/6 (one and 1/6 cups).
find the volume of this cylinder. round to the nearest tenth
Answer:3418
Step-by-step explanation:
The volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.
To find the volume of a cylinder, you can use the formula:
Volume = π * r² * h
Given:
Radius (r) = 8 ft
Height (h) = 17 ft
Plugging these values into the formula, we can calculate the volume:
Volume = π * (8 ft)² * 17 ft
= π * 64 ft² * 17 ft
≈ 3418.05 ft³
Rounding the volume to the nearest tenth, we get:
Volume ≈ 3418.1 ft³
Therefore, the volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.
To know more about volume of the cylinder click here:
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