Answer:
11/4 or 2.75 pints
Step-by-step explanation:
We want to find the difference between the original amount of blueberries and the amount she ate
original amount-amount ate
3 1/2 -3/4
To subtract, we need common denominators
The common denominator of 2 and 4 is 4
3 1/2=7/2
Multiply by 2/2 to get a common denominator of 4
7/2*2/2=14/4
Now, we have common denominators and can subtract
14/4-3/4
Subtract the numerators, and leave the denominators as 4
11/4 =2.75
She has 11/4 or 2.75 pints left
Suppose Mr. Kraus is 1.75m tall. When her shadow is 1m, how long would the shadow be of a 265m tall building?
Answer:
151.43 meters
Step-by-step explanation:
We can use ratios to solve
1.75m 265m
--------------- = -----------
1 m x meters
Using cross products
1.75x = 265*1
Divide each side by 1.75
1.75x/1.75 = 265/1.75
x =151.4285714
151.43 meters
Answer:
151.429m
Step-by-step explanation:
This is a proportion problem.
1.75m/1m = 265m/ Xm
1.75m= 265m/ Xm
Xm = 265m/1.75m = 151.429m
What is the sum of the interior angles of the polygon shown below?
Answer:
540
Step-by-step explanation:
5•180= 900
900 - 360 =540
Answer:
540 degrees
Step-by-step explanation:
Find the unit rate.
20 miles in 2 minutes = ___
miles per minute
Answer:
10 mpm
Step-by-step explanation:
20 / 2 = 10
Answer:
10 miles per 1 minute
Step-by-step explanation:
Find the y-intercept for the parabola defined by
this equation:
y=x² + 8x + 12
Separate the values with a comma.
Enter the correct answer.
Answer:
y-intercepts (0,-12)
Step-by-step explanation:
ninety people in a store were asked whether they liked jeans or khakis and whether they liked t shirts or tank tops out of 25 people that liked khakis 15 liked t shirts there were 55 customers that liked t shirts construct a two way table summarizing the data
Answer:
See the attached figure.
Step-by-step explanation:
Total people = 90
The people that liked khakis = 25
The people that liked t shirts = 55
out of 25 people that liked khakis 15 liked t shirts
See the attached figure, the table on the left represents the given data
While the table on the right represent the table after finding the unknowns.
So,
The people that liked tank tops = V = 90 - 55 = 35
People that liked tank tops out of 25 people that liked khakis=Z=25-15=10
The people that liked jeans = W = 90 - 25 = 65
And X = 55 - 15 = 40
And Y = W - X = 65 - 40 = 25
So, the table on the right is the two way table summarizing the data.
What’s the distributive property of -5(1 - 2n)=-85
Answer:
-5 + 10n = -85
10n = -80
n = -8
Answer:
= -8
Step-by-step explanation:
-5(1 - 2n)=-85
(-5(1)) + (-5(-2n)) = -85
-5 + 10n = -85
10n = -85 + 5
10n = -80
n = -80/10
n = -8
The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 56 ft from a light is 2.7 foot-candles, find the intensity on a screen 70 ft from the light.
Answer:
The intensity on a screen 70 ft from the light is 1.728 foot candle.
Step-by-step explanation:
Given that,
The magnitude of intensity [tex]I[/tex] of light varies inversely as the square of the magnitude of distance D from the source.
That is
[tex]I\propto \frac{1}{D^2}[/tex]
Then,
[tex]\frac{I_1}{I_2}=\frac{D_2^2}{D_1^2}[/tex]
Given that,
The magnitude of intensity of illumination on a screen 56 ft from a light is 2.7 foot-candle.
Here,
[tex]I_1[/tex]=2.7 foot-candle, [tex]D_1[/tex]= 56 ft
[tex]I_2[/tex]=?, [tex]D_2[/tex]= 70 ft.
[tex]\frac{I_1}{I_2}=\frac{D_2^2}{D_1^2}[/tex]
[tex]\Rightarrow \frac{2.7}{I_2}=\frac{70^2}{56^2}[/tex]
[tex]\Rightarrow \frac{I_2}{2.7}=\frac{56^2}{70^2}[/tex]
[tex]\Rightarrow {I_2}=\frac{56^2\times 2.7}{70^2}[/tex]
[tex]\Rightarrow {I_2}=1.728[/tex] foot-candle
The intensity on a screen 70 ft from the light is 1.728 foot candle.
Pls help me understand.
A students cost for last semester was $2,000. She spent $380 of that on books. What percent of last semesters cost was spent on books?
Answer:
19 %
Step-by-step explanation:
380 : 2000 = 0.19
0.19 X 100%= 19 %
Find the mean of these numbers:
4,2,5,6,3
Answer:
5
Step-by-step explanation:
4,2,5,6,3
cancel one on each side ou till you have 1 number left
Answer:
Mean: 4
Median: 4
Mode: 4, 2, 5, 6, 3
Minimum: 2
Maximum: 6
Range: 4
Count: 5
Sum: 20
Step-by-step explanation:
A fruit stand has to decide what to charge for their produce. They need $ 10 for 4 apples and 4 oranges. They also need $ 15 for 6 apples and 6 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answer:
No
Step-by-step explanation:
Say the price of 1 apple is x and the price of 1 orange is y. Then, we can write the two equations:
4x + 4y = 10
6x + 6y = 15
We can try to solve this by elimination, which means getting rid of one variable so that we're left with only 1 variable to solve for. Multiply the top equation by 3 and the bottom equation by 2:
3 * (4x + 4y) = 10 * 3 ⇒ 12x + 12y = 30
2 * (6x + 6y) = 15 * 2 ⇒ 12x + 12y = 30
Subtract the bottom equation from the top:
12x + 12y = 30
- 12x + 12y = 30
______________
0 + 0 = 0
Since we result in 0 = 0, that means any values of x and y we put into the equations will work, so we cannot find a unique price.
Hope this helps!
Answer:
No
Step-by-step explanation:
4A + 4O = 10
6A + 6O = 15
The second equation is just a multiple of the first one, so we don't have two distinct equations to solve for the prices
A student said that the surface area of the figure below was 57.4 square centimeters. Is the student correct? Explain.
Answer:
no
Step-by-step explanation:
The surface area is the sum of the areas of the faces.
There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...
1 cm, 2.5 cm, 2 cm, 2.3 cm
for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...
(5 cm)(7.8 cm) = 39.0 cm^2
__
The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...
A = 2×(1/2)(b1 +b2)h = (b1 +b2)h
A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2
__
The surface area of the entire trapezoidal prism is then ...
total area = base area + lateral area = 6.9 cm^2 +39 cm^2
total area = 45.9 cm^2
The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)
What is the equation of the line that passes through the point
(−3,5) and has a slope of -2?
Answer:
y = -2x-1
Step-by-step explanation:
y = -2x+b
5 = -2(-3)+b
5 = 6+b
-1 = b
Suppose that this year we select a random sample of 50 births. The conditions are not met for use of a normal model since the expected number of preterm births is only 6 (12% of 50). So we ran a simulation with p = 0.12. Suppose that the sample of 50 babies has 4 that are preterm. This is 8% of the sample. Do the data suggest that the percentage of preterm births in the U.S. is lower than 12% this year?
Answer: no
Step-by-step explanation: it is not lower than 12% this year because the Sam model was not used this year which can lead to variation in the calculation of data
In , the world's largest pumpkin weighed kilograms. An average-sized pumpkin weighs grams. The world-record pumpkin weighs blank kilograms more than an average-sized pumpkin. The solution is_______
Answer:
Complete question statement is;
n 2009, the worlds largest pumpkin weighed 1,725 kilograms. An average sized pumpkin weighs 5000 grams. The 2009 world record pumpkin weighs ___ kilograms more than the average sized pumpkin
Step-by-step explanation:
The answer to this is that world record pumpkin weighs 1720 kilograms more than the average sized pumpkin
In one kilogram, there are 1,000 grams i
so 5,000 grams means to be equivalent to 5 kilograms.
Now since we are in same metric units, we can now compare the largest weight and the average weight which would be;
= 1725 - 5
= 1720 kilograms
So the difference between largest weighed and average weighed pumpkin is 1720 kilograms
Final answer:
The world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin, with the weight of the average pumpkin being 0.243 kilograms and the approximate world-record weight being 13.7 kilograms.
Explanation:
To solve how many kilograms more the world-record pumpkin weighs than an average-sized pumpkin, we need to calculate the difference in their weights. Given that an average-sized pumpkin weighs 243 grams, which is equivalent to 0.243 kilograms (since 1 kg = 1000 g), we need to know the weight of the world's largest pumpkin in kilograms.
We're given that the least precise measurement is 13.7 kg. Assuming that the world-record pumpkin weighs this amount, we subtract the mass of the average pumpkin (0.243 kg) from the world-record pumpkin mass (13.7 kg).
So the calculation is:
13.7 kg - 0.243 kg = 13.457 kg
To express our answer to the same precision as the least precise measurement, we round it to the tenths place. Therefore, the world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin when rounded to the nearest tenth of a kilogram.
a standard golf ball has a diameter of 1.68 inches. the material used to make the golf ball weighs .6523 ounces per cubic inch. what is the weight, to the nearest hundredth of an ounce, of one golf ball?
Given:
Given that the standard golf ball has a diameter of 1.68 inches.
Radius of the golf ball is 0.84 inches.
The material used to make the golf ball weighs 0.6523 ounces per cubic inch.
We need to determine the weight of one golf ball.
Volume of the golf ball:
The volume of the golf ball can be determined using the formula,
[tex]V=\frac{4}{3} \pi r^3[/tex]
Substituting r = 0.84, we get;
[tex]V=\frac{4}{3} (3.14)(0.84)^3[/tex]
[tex]V=2.481\ in^3[/tex]
Thus, the volume of one golf ball is 2.481 cubic inches.
Weight of one golf ball:
The weight of one golf ball can be determined by multiplying the volume of the golf ball with 0.6523 ounces per cubic inch.
Thus, we have;
[tex]Weight=2.481 \times 0.6523[/tex]
[tex]Weight = 1.62[/tex]
Thus, the weight of one golf ball is 1.62 ounces.
Final answer:
To find the weight of a golf ball, calculate its volume using its diameter, then multiply the volume by the weight of the material. The weight of one golf ball is approximately 1.80 ounces.
Explanation:
To find the weight of one golf ball, we first need to calculate its volume. The diameter of the golf ball is given as 1.68 inches, so the radius is 0.84 inches. Using the formula for the volume of a sphere, V = (4/3)πr³, we find the volume to be approximately 2.759 cubic inches.
Next, we calculate the weight of the golf ball by multiplying the volume by the weight of the material per cubic inch. Given that the material weighs 0.6523 ounces per cubic inch, multiplying this by the volume of the golf ball gives us the weight. Therefore, the weight of one golf ball is approximately 1.80 ounces.
5(1-2x)+8x=15 what the equations
Answer:
x = -5
Step-by-step explanation:
You're asking for the solution? the x value that makes the equation true?
First perform the multiplication: 5 - 10x + 8x = 15
Combining like terms, we get -10 = 2x.
Dividing both sides by 2 yields x = -5.
Troy is helping his mom make a fence for their rectangular vegetable garden. First, they measure the sides and find that it is 20 feet long and 40 feet wide. Then, they buy fencing from the hardware store. If the store sells fencing in 4-yard packages, how many packages do Troy and his mom need?
Answer:
10 Packages
Step-by-step explanation:
The rectangular vegetable garden has a dimension of Length 20 feet and Width 40 feet.
Perimeter of a Rectangle=2(L+W)
=2(20+40)=2(60)=120 feet
Since the store sells fencing in 4-yard packages, let us convert our perimeter to Yards.
1 Yard= 3 Foot
x Yard =120 Feet
Cross Multiply
3x=120
x=40 Yards
The Perimeter =40 Yards
Therefore the number of Packages which Troy and his Mom needs:
Perimeter of the Garden÷Length Per Package
=40÷4
=10 Packages
Troy and his mom would need 20 Packages of Fencing.
To be able to conclude, we conver
Factor each expression completely: [tex]3x^2-2xy-8y^2[/tex]
What does a a isolate variable mean?
Answer:
Isolating a variable means rearranging an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign.
Step-by-step explanation:
Write the equation in standard form for the circle with radius 9 centered at the origin. Sorry, incorrect... The correct answer is: Explanation review You answered: Learn with an example question Write the equation in standard form for the circle with radius 7 centered at the origin. key idea A circle is the set of points in a plane that are the same distance from a fixed point. The distance is the radius. The point is the center. The equation of a circle in standard form is (x–h)2+(y–k)2=r2. The center is (h,k). The radius is r. The origin is (0, 0). solution You are given the coordinates of the center and the radius, so plug them in. (x–h)2+(y–k)2 = r2 (x–0)2+(y–0)2 = 72 Plug in h=0, k=0, and r=7 x2+y2 = 49 Questions answered
Answer:
[tex]x^2+y^2=81[/tex]
Step-by-step explanation:
The standard form of the equation of a circle of radius r, with centre (h, k) is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We are required to write an equation in standard form for the circle with radius 9 centered at the origin.
Centre(h,k)=(0,0), r=9Substituting these values into the Standard form of the equation of a circle given above:
[tex](x-0)^2+(y-0)^2=9^2\\x^2+y^2=81[/tex]
The standard form is: [tex]x^2+y^2=81[/tex]
The equation of the circle whose center is at (0,0) and the radius is 7 is [tex]\rm x^2+y^2=49[/tex] and the equation of the circle whose center is at (0,0) and the radius is 9 is [tex]\rm x^2+y^2=81[/tex].
Given :
The circle with a radius 9 is centered at the origin.
The following steps can be used in order to determine the equation in standard form for the circle:
Step 1 - The generalized equation of the circle is given below:
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex] --- (1)
where (h,k) represents the coordinates of the center of the circle and r is the radius of the circle.
Step 2 - According to the given data, the center of the circle is at (0,0) and the radius of the circle is 9.
Step 3 - Substitute the values of all the known terms in equation (1) in order to determine the equation of the circle.
[tex]\rm x^2+y^2=81[/tex]
Step 4 - Now, the equation of the circle whose center is at (0,0) and the radius is 7 is given by:
[tex]\rm x^2+y^2=49[/tex]
For more information, refer to the link given below:
https://brainly.com/question/10165274
Please help me idk this ?!?!?
Using the formula given in the question, we can solve for the area.
h = 10
b1 = 20
b2 = 8
Now, solve with the given values.
1/2(10)(20 + 8)
5(28)
140
Therefore, the area is 140 square feet.
Best of Luck!
IF SOMEONE ANSWERS WITHIN 5 MINUTES THEY WILL GET BRAINLIEST ANSWER
Among a group of 86 investors, 23 owned shares of Stock A, 33 owned shares of Stock B, 44 owned shares of Stock C, 11 owned shares of both Stock A and Stock B, 10 owned shares of Stock A and Stock C, 17 owned shares of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?
A. 24,33
B. 17,36
C. 17,33
D. 17,40
Answer:
A
Step-by-step explanation:
Hi!
This one's a bit hard to explain! IF you want explanation, just comment.
Using the data given, we can conclude that [tex]\boxed{A}[/tex] is the correct answer.
Hope this helps!
3 markers cost $5.79.
Which equation would help determine the cost of 13 markers?
Choose 1 answer:
A.) 13/$5.79 = x/3
B.) x/13 = 3/$5.79
C.) 3/$5.79 = 13/x
D.)13/x = $5.79/3
E.) None of the above
Answer:
C. 3/$5.79 = 13/x
Step-by-step explanation:
We can write the fact that 3 markers cost $5.79 as a proportion:
3/$5.79
Let x represent the unknown cost of 13 markers. Since 13 markers cost x, we have the following proportion:
13/x
The cost changes along with the number of markers purchased, and so the two proportions are equivalent.
3/$5.79 = 13/x
Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than three times the smaller number, . Kim's description of the two numbers was: Five times the smaller number decreased by 7 is the larger number. Which equation represents the situation?
Answer:
Sam's description = [tex]3x+3[/tex], Kim's description = [tex]5x-7[/tex]
Step-by-step explanation:
Given:
Kim and Sam were each given the same pair of numbers.
Sam's description of the two numbers was:
The larger number is 3 more than three times the smaller number.
Kim's description of the two numbers was:
Five times the smaller number decreased by 7 is the larger number.
Question asked:
Which equation represents the situation?
Solution:
Let smaller number = [tex]x[/tex]
According to Sam's description of the two numbers, the equation will be:-
Larger number = 3 more than three times the smaller number
= [tex]3x+3\ (eq1)[/tex]
According to Kim's description of the two numbers was, the equation will be:-
Larger number = Five times decreased by 7
= [tex]5x-7\ (eq2)[/tex]
By equating both equation:-
[tex]5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ x=5[/tex]
Smaller number = [tex]x[/tex] = 5
Larger number = [tex]3\times5+3=15+3=18[/tex]
Therefore, equations represents the situation are [tex]3x+3[/tex] and [tex]5x-7[/tex]
A sample of 16 atm transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the test statistic to decide whether the mean transaction time exceeds 60 seconds.
Answer:
[tex]t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33[/tex]
Step-by-step explanation:
Data given and notation
[tex]\bar X=67[/tex] represent the sample mean
[tex]s=12[/tex] represent the sample standard deviation
[tex]n=16[/tex] sample size
[tex]\mu_o =60[/tex] represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean is higher than 60, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 60[/tex]
Alternative hypothesis:[tex]\mu > 60[/tex]
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
[tex]t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33[/tex]
Jamal(j) and Mackenzie (m) are brother & sister. Jamal(j) is 4 years older than Mackenzie(m). If Jamal (j)is 16 years old, write & solve an equation to find Mackenzie’s (m) age. Please use the letters to set up & help solve your problem. Must see work.
WILL GIVE BRAINLIEST TO THE 2 PERSON
Answer:
12 years old
Step-by-step explanation:
16 = m+4
-4 -4
12 = m
Answer:
12 years
Step-by-step explanation:
j = m + 4
j = 16
16 = m + 4
m = 16 - 4
m = 12
Jan is trying to increase her water intake to meet recommended guidelines. She currently consumes 2 (24 oz. each) bottles of water per day, and 2 cups (8 oz. each) of low-fat milk. Assuming that she will obtain 15% of her fluid needs from foods, how many cups of water does she still need to drink?
Answer:
Extra 4 cups to make up 11 cups a day
Step-by-step explanation:
Here we have that Jan obtains 15% of her fluid needs from food, therefore, she gets the remaining 85 % from drinking water
If the recommended daily intake = 2.7 liters or 91.3 oz
And she already consumes 48 oz of water and 16 oz of milk
Note milk is equivalent to 0.87 water therefore total intake = 48 + 16*0.87= 61.92 oz
She needs to take additional (91.3 - 61.92) = 29.4 oz or 3.68 ≈ 4 cups extra to meet her recommended daily dosage.
In 1987 Babe Ruth has a record setting season in which he hit 60 home runs for New York Yankees. If babe Ruth continues at the same rate how many home runs will he hit over the next 3 seasons?
Answer:
If he maintains the same rate he'll hit 180 home runs over the next three seasons.
Step-by-step explanation:
If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:
number of home runs = 3*rate
number of home runs = 3*60
number of home runs = 180
If he maintains the same rate he'll hit 180 home runs over the next three seasons.
The diagonal of a rectangle is 25 in. The width is 15 inches. What is the length
Answer:
The length is 20 in
Step-by-step explanation:
Use Pythagorean Theorem to solve for the length
15^2 + b^2 = 25^2 Simplify
225 + b^2 = 625
-225 - 225 Subtract 225 from both sides
b^2 = 400 Take the square root of both sides
b = 20 in
If this answer is correct, please make me Brainliest!
Every morning, my neighbor goes out walking. I observe that 20% of the time she walks with her beagle, 70% of the time she walks with her golden retriever, and 30% of the time she walks alone. If these events are all disjoint, is this an example of a valid probability distribution?
Answer:
No, This is not a valid Probability Distribution
Step-by-step explanation:
Probability [Neighbour walks with Beagle] = 20%
Probability [Neighbour walks with Golden Retriever] = 70%
Probability [Neighbour walks alone] = 30%
Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.
The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.
So, this probability distribution with stated disjoint events is not a Valid Probability distribution.
Final answer:
The given percentages (20% with the beagle, 70% with the golden retriever, 30% walking alone) add up to 120%, which exceeds the total probability of 100%. Thus, they do not constitute a valid probability distribution.
Explanation:
The situation described about the neighbor walking with her pets and alone presents individual probabilities of different events. If these events are indeed disjoint, meaning they cannot happen at the same time, then to determine if the given percentages represent a valid probability distribution, they must satisfy two main conditions: the sum of all probabilities must be equal to one (100%), and each individual probability must be between 0 and 1 inclusive.
Calculating the sum of the given probabilities: 20% (for walking with the beagle) + 70% (for walking with the golden retriever) + 30% (for walking alone) equals 120%, which exceeds 100%. This indicates that the given percentages do not contain a valid probability distribution because they do not sum to one, violating one of the fundamental characteristics of a probability distribution.