To determine how many pounds of blueberries are left in the container after using 1/5 for muffins, calculate 4/5 of the initial amount, as this represents the remaining 80%. The ability to work with fractions and percentages is crucial here.
Explanation:The question involves understanding percentages and unit conversion. If 1/5 of the remaining blueberries is used to make muffins, that means 80% (or 4/5) of the blueberries are left in the container. To find out how many pounds of blueberries are left, we first need to know the total quantity before using any for muffins. Assuming we had a specific weight to begin with, we would calculate 4/5 of that weight to determine what remains.
For example, if there were 10 pounds of blueberries initially, 2 pounds (1/5) would be used for muffins, leaving 8 pounds (4/5) of blueberries in the container. It's essential to be comfortable with fractions and percentage calculations when dealing with such problems in mathematics.
a. Each bowl contains 1/12 of the total blueberries.
b. There were 72 ounces of blueberries in the full container.
c. There are 3 pounds of blueberries left in the container.
a. What fraction of the blueberries is in each bowl?
Initially, 1/6 of the blueberries are poured equally into two bowls. Therefore, each bowl receives 1/6 * 1/2 = 1/12 of the total blueberries.
b. If each bowl has 6 ounces of blueberries in it, how many ounces of blueberries were in the full container?
Since each bowl has 6 ounces of blueberries, and there are two bowls, the total amount of blueberries poured into the bowls is 6 * 2 = 12 ounces. Since this represents 1/6 of the total blueberries, we can set up the equation:
Total blueberries = 12 * 6 = 72 ounces
c. If 1/5 of the remaining blueberries are used to make muffins, how many pounds of blueberries are left in the container?
After pouring 1/6 of the blueberries into the bowls, 5/6 of the blueberries remain. Then, 1/5 of these remaining blueberries are used to make muffins. So, the fraction of blueberries remaining after making muffins is 5/6 * 4/5 = 20/30 = 2/3.
To convert the remaining blueberries to pounds, since 1 pound equals 16 ounces, we divide the total remaining ounces by 16:
Remaining blueberries in pounds = (72 ounces * 2/3) / 16 ounces/pound = (72 * 2) / (3 * 16) = 144 / 48 = 3 pounds
So, there are 3 pounds of blueberries left in the container.
The probable question maybe:
A container is filled with blueberries. 1/6 of the blueberries are poured equally into two bowls.
a. What fraction of the blueberries is in each bowl?
b. If each bowl has 6 ounces of blueberries in it, how many ounces of blueberries were in the full container?
c. If 1/5 of the remaining blueberries are used to make muffins, how many pounds of blueberries are left in the container?
A distribution data has a maximum value of 96, a median value of 56.5, and a minimum of 23. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.
Answer:
The standard deviation estimate by the Range Rule of Thumb = 18.3
Step-by-step explanation:
i) maximum = 96
ii) minimum = 23
iii) standard deviation [tex]\approx[/tex] [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]
The standard deviation estimate by the Range Rule of Thumb = 18.3
The safe load for a certain horizontal beam used to hold up part of a building varies inversely as the length between the
supports.
True
False
The statement is true.
Answer: Option 1.
Explanation:
An horizontal beam is constantly flat and has a consistent cross-segment. Notwithstanding normal shaft parameters, bar has the accompanying properties: Direction. A flat shaft might be situated either along the worldwide X-hub or worldwide Y-pivot.
A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.
Solve the linear inequality.
5x-3(x+1)<7
The solution to the inequality 5x-3(x+1)<7 is x<5.
Step-by-step explanation:
Given inequality is;
5x-3(x+1)<7
Solving the inequality
[tex]5x-3x-3<7[/tex]
Adding 3 on both sides both sides of inequality
[tex]5x-3x-3+3<7+3\\2x<10[/tex]
Dividing both sides of inequality by 2
[tex]\frac{2x}{2}<\frac{10}{2}\\\\x<5[/tex]
The solution to the inequality 5x-3(x+1)<7 is x<5.
Keywords: inequality, division
Learn more about division at:
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if 48 men have ration for 16 days how long will the food last if a reinforcement of 16 men arrived
Step-by-step explanation:This is a simple question.
The food that lasts for 48 men for 16 days is 48 × 16 = 768 units.
Now because of 16 additional members i.e. a total of 64 men the food will last for:
768÷64 = 12 days. Answer.
Final answer:
The ration that would have lasted for 16 days for 48 men will now last for 12 days when an additional 16 men are added to the group, making it a total of 64 men.
Explanation:
The question concerns a problem in ration proportion related to the consumption of food by a group of men. Initially, 48 men have enough rations for 16 days. If 16 more men join this group, the total number of men becomes 48 + 16 = 64 men. We need to calculate how long the rations will last for the increased group.
We can consider this as a problem of inverse proportion where more men would consume the same amount of food in lesser time. The original group of 48 men could last 16 days, so we can set up the following proportion: 48 men × 16 days = 64 men × X days. Solving for X gives us X = (48 men × 16 days) / 64 men, which simplifies to X = 12 days. Therefore, the food would last for 12 days for 64 men.
3x squared minus 7x minus 34 is less than or equal to -10x + 2
Answer:
x =-2 or 0
Step-by-step explanation:
Factoring 7x2+3x-34
The first term is, 7x2 its coefficient is 7 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is -34
Step-1 : Multiply the coefficient of the first term by the constant 7 • -34 = -238
Step-2 : Find two factors of -238 whose sum equals the coefficient of the middle term, which is 3 .
-238 + 1 = -237
-119 + 2 = -117
-34 + 7 = -27
-17 + 14 = -3
-14 + 17 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 17
7x2 - 14x + 17x - 34
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-2)
Add up the last 2 terms, pulling out common factors :
17 • (x-2)
Step-5 : Add up the four terms of step 4 :
(7x+17) • (x-2)
Which is the desired factorization
(x - 2) • (7x + 17) = 0
An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1/4 inch will represent 1 foot of the room’s actual width. What will be the width of the Great Room, in inches, on her floor plan?
Answer:
5 inches
Step-by-step explanation:
we know that
The scale drawing is
[tex]\frac{1}{4}\ in : 1\ ft[/tex]
using proportion find out the width of the great room on her plan
[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]
Answer:
5 inches
Step-by-step explanation:
Hope this helped!!
Noah says to find 20% of a number he divides the number by 5. Does Noah method always work?
Answer:
Yes because 20 percent of anything, including 0, multiplied by 5 is 100 percent
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
it does work because 5x4= 20 and if you divide 20% by 5 you get 4. You can also do 20% Divided by 2 you get 100.
Which expression is not equivalent to cos 150°
A) sin 240 degrees
B) cos 210 degrees
C)cos 60 degrees
D) -sin 60 degrees
Answer:
cos 60° isn't equivalent
Step-by-step explanation:
cos 60°=1/2
The expression that is not equivalent to cos 150° is option C, cos 60 degrees, because it lies in the first quadrant where cosine is positive, unlike cos 150° which is negative.
The expression that is not equivalent to cos 150° is C) cos 60 degrees. The cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants. Since 150° lies in the second quadrant, cos 150° is negative. Now, if we look at the provided options, sin 240° is essentially -sin(240° - 180°), which equals -sin 60°; this is the same as cos(180° - 240°), which equals cos(330°) or cos(−30°), and therefore, equivalent to cos 150°.
Similarly, cos 210° is also in the third quadrant where cosine is negative; this is the same as -cos(210° - 180°), which equals -cos 30° which also equals -sin 60°. Therefore, this is equivalent to cos 150° as well. In contrast, cos 60° lies in the first quadrant where cosine is positive, which does not match the sign of cos 150°. Lastly, -sin 60° is simply the negative of sin 60° and since sin 60° = cos 30°, it matches the value of cos 150° in terms of magnitude but is opposite in sign, thus it is equivalent to cos 150°.
Therefore, option C, cos 60 degrees, is not equivalent to cos 150°.
The formula below is used to convert degrees Fahrenheit (F) into degrees Celsius (C). A cookbook asks us
to set the oven temperature to 350° Fahrenheit. Convert this into degrees Celsius, correct to the nearest
degree.
c= 5(F-32)
———-
9
Answer:
177° C
Step-by-step explanation:
substitute F = 350 into the formula
C = [tex]\frac{5(350-32)}{9}[/tex] = [tex]\frac{5(318)}{9}[/tex] = [tex]\frac{1590}{9}[/tex] ≈ 177 ( to the nearest degree )
Most bees have a body temperature of 35* Celsius. When they sleep, it can drop by up to 2* celsius. What's their range in body temperature written as an inequality with the variable t?
33°≤ t ≤ 35°
Step-by-step explanation:
The body temperature of a bee is given as 35°
When it sleeps, it drops by 2°
The sleeping temperature is therefore : 35°-2°=33°
The rage of body temperature is : 33°-35°
If t is body temperature then the rage in body temperature is;
33°≤ t ≤ 35°
Learn More
Inequalities :https://brainly.com/question/12837275
Keywords : body, temperature, sleep,drop,range, variable
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A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working.
Got 2/4 marks for 14/55
Answer:
28/55
Step-by-step explanation:
The probability of taking a red bead first and a white bead second is:
P(red, white) = (7/11) (4/10)
P(red, white) = 14/55
The probability of taking a white bead first and a red bead second is:
P(white, red) = (4/11) (7/10)
P(white, red) = 14/55
So the probability that one bead of each color is taken is:
P = P(red, white) or P(white, red)
P = 14/55 + 14/55
P = 28/55
Answer:
56/110=14/55
Step-by-step explanation:
you get 4 marks!
put me as brainiest please!
Write the percent of free space on the computer as a decimal.
Volume Capacity Free Space % Free Space
(C:) 200 GB 150 GB 75%
Answer:
0.75
Step-by-step explanation:
Final answer:
To convert 75% to a decimal, divide 75 by 100 to get 0.75. This conversion is necessary to express the percent of free space on a computer in decimal form.
Explanation:
To convert the percent of free space on the computer to a decimal, you can follow these steps:
Take the percent value, which in this case is 75%.Write this percentage as a fraction with a denominator of 100, so 75% becomes ⅔.Divide the numerator by the denominator: 75 ÷ 100 = 0.75.The decimal equivalent of 75% is 0.75. This means that 75% of the computer's storage capacity is free space.
The perimeter of the sign is 28 meters. If the width of the sign is 4meters, what is the length in meters?
Answer:10
Step-by-step explanation:
28-4-4=20
20÷2=10
10+10+4+4=28
Find the total surface area of the figure.
A. 150.7 ft sq.
B. 402.1 ft sq
C. 301.5 ft sq
D. 288.4 ft sq
Answer:
Answer is B
surface area for a cylinder : 2 (pi) r h + 2 (pi) r^2
r= 4
h= 12
2 (pi) x 4 x 12 + 2 (pi) × 4^2
= 402 .1
Answer:
it is B
Step-by-step explanation:
What is 5 divided by 8 ?
Answer:
0.625
Step-by-step explanation:
0.625 * 8 = 5
Answer: 0.625
Step-by-step explanation: When doing 5 divided by 8, you get 0.625
Haley's age is 6 years less than half her mother's
age. If Haley is 16 years old, what is an equation
that can be used to determine her mother's age?
Answer: (16+6)2=y
Step-by-step explanation: Hailey is six years younger than half her mother age, and she is 16. You add six to 16, and get 22. Multiply that by 2 and get 44.
Which expression is equivalent to 5(8z)
Answer:
answer is 40z
Step-by-step explanation:
multiply the numbers and keep the variable the same
Do you guys now how to estimate 69.58.
Answer:
The answer is 70 if it's to whole number but if it's just rounding to the tenth spot it's 69.6
Step-by-step explanation:
It's 70 because if the tenth spot(the number after the decimal) is 5 or higher you add one on the one spot so that's why it's 70
Estimates are typically whole numbers.
To estimate an answer, you would take whatever numbers you are trying to add/subtract/multiply/divide ect. and round them to the nearest whole number then complete said action with them.
Example: 3.99 + 33.85 + 31.74
3.99 is closest to 4
33.85 is closest to 34
and 31.74 is closest to 32
Then, we would add up all the numbers: 4 + 34 + 32 = 70
70 is very close to 69.58, therefore 70 is a good estimate.
Please give me answer! (Photo attached)
Answer:
B 3*-3* -4/9
Step-by-step explanation:
Janelle ate 82% of the pie. What fraction of the pie remained
which of the following phrases would represent this expression x/3
Answer:
x is divided by 3
Step-by-step explanation:
What is 2 2/3 * 1/2 simplified
Answer:
4/3
Step-by-step explanation:
2 2/3=8/3
(8/3)(1/2)=8/6=4/3
:
The basketball team is ordering hats for its members. Each hat costs $8. The fee to ship any size order of hats is $6. Let h equal the number of hats ordered and c equal the total cost.
The equation that I think you are looking for is:
c = 8h + 6
The line that has a slope of 2 and passes through (1, -4)
Answer:
y=2x-6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-1)
y+4=2x-2
y=2x-2-4
y=2x-6
How many hours did you sleep each day this month
10 hours, none more, none less
The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).
[tex]x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7[/tex]
Slope (m) = [tex]\frac{5}{4}[/tex]
To find the missing coordinate r:
Slope formula:
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
Substitute the given values in the formula.
[tex]$\frac{5}{4}=\frac{r-1}{-7-(-15)}[/tex]
[tex]$\frac{5}{4}=\frac{r-1}{-7+15}[/tex]
[tex]$\frac{5}{4}=\frac{r-1}{8}[/tex]
Do cross multiplication.
[tex]8 \times 5=4(r-1)[/tex]
40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.
The graphs of f(x) = 10x and its translation, g(x), are shown.
What is the equation of g(x)?
g(x) = 10x – 3
g(x) = 10x + 3
g(x) = 10x – 3
g(x) = 10x + 3
Answer:
See attachment and explanation
Step-by-step explanation:
Assuming f(x) and its g(x) are the graphs shown in the attachment.
Then we have the base function to be
[tex]f(x) = {10}^{x} [/tex]
We can see from the graph that, f(x) has been shifted up 3 units to obtain g(x).
Hence the equation of g(x) is
[tex]g(x) = {10}^{x} + 3[/tex]
Answer:
g(x) = 10^x – 3 is the answer
\
Step-by-step explanation:
plz help im in 5th grade 20 times 2
Answer:
40
Step-by-step explanation:
20
x 2
0x2=0
2x2=4
you have to take the bottom 2 in the ones place
then you have to multiply that by 0
last you have to multiply both 2's
and you have your answer
MULTIPLYING POLYNOMIALS
1.(n-4)(n-6)
2.(a+5)(a-6)
3.(4b+6)(b-4)
please help i cant figure these out thank you
[tex](n-4)(n-6) = n^2-10n+24\\\\(a+5)(a-6) = a^2 -a-30\\\\(4b + 6)(b-4) = 4b^2 -10b-24[/tex]
Solution:
Multiplying polynomials:
Multiplying polynomials is same like multiplying numbers
First, multiply the first term in the first parentheses by all the terms in the second parentheses
Now we multiply the second term in the first parentheses by all terms in the second parentheses and add them to the previous terms
[tex]1)\ (n-4)(n-6)[/tex]
[tex](n-4) \times (n-6) = n^2 -6n -4n +24\\\\Simplify\\\\(n-4) \times (n-6) = n^2 -10n + 24[/tex]
Now let us multiply the second given option
[tex]2)\ (a+5)(a-6)[/tex]
Multiply them together
[tex](a+5)(a-6) = a^2 -6a + 5a - 30\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(a+5)(a-6) = a^2 -a -30[/tex]
Now let us multiply the third given polynomial
[tex]3)\ (4b+6)(b-4)[/tex]
Multiply them together
[tex](4b+6)(b-4) = 4b^2 -16b + 6b - 24\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(4b+6)(b-4) = 4b^2 -10b -24[/tex]
Thus the given polynomials are multiplied
Is this equation an infinite solution, no solution, or one solution?? 36-7x=-7(x-5) is
Answer:
no solution
Step-by-step explanation:
36-7x=-7(x-5)
first what we have to do is do the multiplications
36 - 7x = -7x + 35
we add 7x from both sides
36 - 7x + 7x = - 7x + 7x + 35
36 = 35
we subtract 36 from both sides
36 - 36 = 35 - 36
0 = -1
This means that the system has no solution
if we look at the equation at the beginning we can realize since we have the same term on both sides "-7x" and a term without x on each side, this means that we can never find a value of x that meets the conditions