The amount of flour alice had used at the end of the week is;
Amount = ¹/₂ pounds
Amount of flour she had at the start of the week = 3¹/₄ pounds
Amount she had at the end of the week = 2³/₄ pounds
To solve this, we need to first covert the mixed fractions to improper fractions.Thus;
3¹/₄ pounds = 13/4 pounds
2³/₄ pounds = 11/4 pounds
Thus,
amount of flour she used = amount at the start of week - amount left at end of week
Amount of flour she used = 13/4 - 11/4The denominator is the same and so our solution is to just subtract the numerator and retain the common denominator. This gives;
Amount of flour she used = ¹/₂ pounds
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What is 1,289,845 rounded to the nearest thousand?
Answer:
1,290,000
Step-by-step explanation:
Answer:
1,290,000
Step-by-step explanation:
If we are rounding to the nearest thousand, then we are finding the number in the hundredth's and rounding it.
From 1-9 If it's less than 5, round down. If it's 5 or more, round up.
At this case, it is 8 in the hundredths and nine in the thousandths. Since 8 is 5 or greater, you round it up to 1000, but the thousandth's place has a nine, which nine plus 1 is 10.
Therefore, 1,289,845 rounded up is 1,290,000.
I hope this helped! :)
If I do this with 4 and 5 - I get 29. If I do the same thing with 4 and 6 - I get 40. Thesame thing again to 8 and 9 gives me 89. What do I get if I do the same thing to 5 and 8?
Answer: 69
Step-by-step explanation:
If I do this with 4 and 5 - I get 29.
This can be explained as this:
4 + (5^2) = 4 + 25 = 29
If I do the same thing with 4 and 6 - I get 40. This can be explained as:
4 + (6^2) = 4 + 36 = 40
Thesame thing again to 8 and 9 gives me 89. This can be explained as:
8 + (9^2) = 8 + 81 = 89
What do I get if I do the same thing to 5 and 8. This will be:
5 + (8^2) = 5 + 64 = 69
The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?
1. Thursday
2.Wednesday
3.Monday
4. Tuesday
Answer:
thursday
Step-by-step explanation:
What is the least common denominator of 1/12 and 5/8
Pls help it’s easy but I been staring at this for 2 hours now pls help a lot of points and will give brainlyest
Answer:?
I have no idea sir sorry yt ;-;
Step-by-step explanation:
Why is it important to describe the variable in an expression?
Answer: They show numerical value. You have to make them clear.
Step-by-step explanation:
Answer:
you define it, and it lets you know how to properly write the equation. ... If you want to solve for the unknowns using mathematical equations it is necessary to define the unknown variables i.e. what they represent in the real world so that the known relationships can be expressed in equation form
Step-by-step explanation:
its basically a value that can hold and amount depending on the value you give it
If the measure of arc CD is 120 degrees and the radius is 15 centimeters, what’s the length of arc CD?
A. 5pi cm
B. 10pi cm
C. 90pi cm
D. 45pi cm
Answer"
is it B) 10pi cm
Srry but could you please answer the questions.
Answer:
23º
55º
Step-by-step explanation:
a theater has 44 seats in the first row,46 seats in the second row,48 seats in the third row,and so on. how many seats are there in row 18?
Step-by-step explanation:
Total rows = 18
This is a even number sequence so
44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78
So 78 seats are in row 18
Mike and his friends hiked 23 miles on Saturday. They hiked 7 miles less than that on Sunday. Their goal is to hike a total of 50 miles during their trip. How many miles did they hike on Sunday?
Mike and his friends hiked 16 miles on Sunday. They have hiked a total of 39 miles over Saturday and Sunday, which is 11 miles short of their 50-mile goal.
Mike and his friends hiked a total of 23 miles on Saturday and hiked 7 miles less on Sunday. To find out how many miles they hiked on Sunday, we subtract 7 miles from the 23 miles they hiked on Saturday.
So, Sunday's hiking distance = Saturday's hiking distance - 7 miles
Sunday's hiking distance = 23 miles - 7 miles
Sunday's hiking distance = 16 miles.
Now, to check if they met their hiking goal of 50 miles during their trip, we add the distances hiked on both days:
Total hiking distance = Saturday's hiking distance + Sunday's hiking distance
Total hiking distance = 23 miles + 16 miles
Total hiking distance = 39 miles.
They have hiked 39 miles so far, which is short of their 50-mile goal.
you have 4 4/5 cups of rice. each serving of rice takes 2/5 of a cup. how many servings can you make?
Answer:
12 cups
Step-by-step explanation:
2/5 times 12 =4 4/5
Sorry, this answer was wrong.
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Jen's speed is 0.04 miles per minute.
Explanation:To find Jen's speed, we need to divide the distance she traveled by the time it took her to get there. In this case, Jen traveled 1/5 of a mile and it took her 5 minutes. To find her speed in miles per minute, we divide the distance (1/5 mile) by the time (5 minutes):
Speed = Distance ÷ Time
Speed = 1/5 mile ÷ 5 minutes
To simplify the calculation, we can convert 1/5 mile to a decimal by dividing 1 by 5:
1/5 = 0.2
Now we can divide 0.2 by 5 to find Jen's speed:
0.2 ÷ 5 = 0.04
Therefore, Jen's speed is 0.04 miles per minute.
The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?
Answer:
5
Step-by-step explanation:
The customer paid $7.53 for the item
Markup is the difference between a product's selling price and cost as a percentage of the cost. It is given by:
[tex]Markup=\frac{selling\ price-cost\ price}{cost\ price} \\\\[/tex]
Markup = 115% = 1.15, cost price = $3.50, hence:
[tex]Markup=\frac{selling\ price-cost\ price}{cost\ price} \\\\1.15=\frac{selling\ price-3.5}{3.5} \\\\Selling\ price=\$7.53[/tex]
Hence the customer paid $7.53 for the item.
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Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/10 's of a cantaloupe are there in 1/2 of a cantaloupe?
To find out how many 1/10's of a cantaloupe are there in 1/2 of a cantaloupe, you divide 1/2 by 1/10. The answer is 5.
Explanation:To find out how many 1/10's of a cantaloupe are there in 1/2 of a cantaloupe, we can divide 1/2 by 1/10. Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. So, we have (1/2) * (10/1) = 10/2 = 5. Therefore, there are 5 1/10's of a cantaloupe in 1/2 of a cantaloupe.
Learn more about Dividing fractions here:https://brainly.com/question/18511795
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Danny read three books over winter break. The first book had 1,349 pages, the second book had 1,281 pages, and the third book had 1,195 pages. How many total pages did Danny read over the break?
Answer:
3825 pages
Step-by-step explanation:
Add the pages together:
1349+1281+1195 = 3825 pages
Danny read a total of 3,825 pages over winter break, which is well above 1,050 pages, indicating that it was very likely he had to read more than 1,050 pages.
Danny read three books over winter break. To determine the total number of pages Danny read, we need to add up the pages from each book. Here is the step-by-step explanation:
First book: 1,349 pages
Second book: 1,281 pages
Third book: 1,195 pages
Add these numbers together:
1,349 + 1,281 + 1,195 = 3,825 pages in total
Therefore, Danny read a total of 3,825 pages over the break. Clearly, this number is much greater than 1,050 pages, so without doing any calculations, we could confidently say that it's highly likely that Danny had to read more than 1,050 pages based on the individual page counts of each book provided.
The graph of which function has a y-intercept of 3? Picture A, B, C, or D?
Answer:
A
Step-by-step explanation:
A is the only one that intersects with the y axis at the value 3.
hope this helps :)
Answer:
The answer is the first graph!
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes. At the 0.01 significance level, test the claim that the mean is less than 10 minutes.
Answer:
We conclude that the mean waiting time is less than 10 minutes.
Step-by-step explanation:
We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.
Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.
Let [tex]\mu[/tex] = mean waiting time for bus number 14.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 10 minutes {means that the mean waiting time is less than 10 minutes}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean waiting time = 7.8 minutes
s = sample standard deviation = 2.5 minutes
n = sample of different occasions = 18
So, test statistics = [tex]\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }[/tex] ~ [tex]t_1_7[/tex]
= -3.734
The value of t test statistics is -3.734.
Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.
Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean waiting time is less than 10 minutes.
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to support the claim that the mean is less than 10 minutes.
At the null hypothesis, it is tested if the mean is of at least 10 minutes, that is:
[tex]H_0: \mu \geq 10[/tex]
At the alternative hypothesis, it is tested if it is less than 10 minutes, that is:
[tex]H_1: \mu < 10[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.8, \mu = 10, s = 2.5, n = 18[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7.8 - 10}{\frac{2.5}{\sqrt{18}}}[/tex]
[tex]t = -3.73[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a 0.01 significance level and 18 - 1 = 17 df is of [tex]t^{\ast} = -2.57[/tex]
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to support the claim that the mean is less than 10 minutes.
A similar problem is given at https://brainly.com/question/13873630
Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common factor of the given lengths: 7 Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5 Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?
Answer: Leon was wrong by using the greatest common factor to determine that the numbers are a Pythagorean triple.
Step-by-step explanation: The numbers that Leon used in his calculations which are, 21, 28, and 35 are actually a Pythagorean triple and this can be determined by using the Pythagoras' theorem which states that,
AC² = AB² + BC²
Where AC is the longest side, and AB and BC are the other two sides.
Substituting for the given values, we now have
35² = 28² + 21²
1225 = 784 + 441
1225 = 1225
Since both sides of the equation are equal, we can conclude that the numbers form a Pythagorean triple.
However, dividing the numbers by their greatest common factor does not prove that it is a Pythagorean triple. This process cannot be successfully applied to other Pythagorean triples, and is best described as a chance event.
For example, the numbers 21, 20 and 29 are Pythagorean triples and they have no common factor. Similarly, 6, 8 and 10 are also Pythagorean triples and their greatest common factor is 2. This too is not sufficient to prove that they form a Pythagorean triple.
The only prove that is sufficient enough is to substitute the numbers into the Pythagoras theorem as stated in the calculation above, and the result must show the left hand side of the equation to be equal to the right hand side of the equation.
Answer:
it’s C tell me if I’m right or wrong
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living between 12.3 and 14.2 years.
Answer: 13.5 % would be the answer
To estimate the probability of a meerkat living between 12.3 and 14.2 years, we can use the empirical rule (68-95-99.7%).
Explanation:The probability of a meerkat living between 12.3 and 14.2 years can be estimated using the empirical rule (68-95-99.7%).
First, calculate the z-scores for the given values using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. For 12.3 years:z = (12.3 - 10.4) / 1.9 = 0.947For 14.2 years:z = (14.2 - 10.4) / 1.9 = 2.000Next, use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
The probability of a meerkat living less than 12.3 years is the same as the probability of a z-score less than 0.947.The probability of a meerkat living less than or equal to 14.2 years is the same as the probability of a z-score less than or equal to 2.000.Finally, subtract the probability of the lower value from the probability of the higher value to find the probability of a meerkat living between 12.3 and 14.2 years.
Can someone help me please
Answer:
initial value: 0rate of change: 200 m/minequation: H = 200TStep-by-step explanation:
The initial value is always the value that corresponds to the independent variable being 0. Here, that's the first entry in the table. The initial Height is 0, when Time is 0.
__
The rate of change can be figured by looking at the change in Height for a change of 1 in Time. Here, the height changes by 200 m for every 1 min change in time. The rate of change is 200 m/min.
__
The equation can be written in slope intercept form using the rate of change and initial value:
(dependent variable) = (rate of change)×(independent variable) + (initial value)
H = 200T + 0
H = 200T . . . . . . . . height in meters for time in minutes
WHAT IS THIS ANSWER
Answer:
15
Step-by-step explanation:
I beleive you just count the dots thats what i did
Answer:
ahskdhdidjdujdjdjej
What is the radius of the circle with the following equation (x+1)²+ (y-3)²= 64? *
The center-radius form is: (x−h)^2+(y−k)^2=r^2
Knowing this, all we need to do is square root the 64 to get 8 as your radius.
Do the following lengths form a right triangle?
45, 117, and 125
Answer:
NOTStep-by-step explanation:
[tex]\text{If}\ a\leq b<c\ \text{and}\ a^2+b^2=c^2,\ \text{then}\ a,\ b\ \text{and}\ c\ \text{form a right triangle.}\\\\\text{We have:}\\\\a=45,\ b=117,\ c=125\\\\\text{substitute}\\\\a^2+b^2=45^2+117^2=2025+13689=15714\\\\c^2=125^2=15625\\\\a^2+b^2\neq c^2\\\\\text{Therefore your answer is}\ \bold{NO}[/tex]
A professional soccer player buys 16 acers of land. he plans to build a house on the land but wants to use 2/8 of the land to put his own soccer field and facility on. how many acres of land will the soccer player need for his soccer field and facility?
Answer:
Step-by-step explanation:
The professional soccer player buys 16 acres of land.
He wants to use [tex]\frac{2}{8}[/tex] of the land to put his own soccer field and facility on.
All we have to do is find [tex]\frac{2}{8}[/tex] of 16 acres.
[tex]\frac{2}{8}[/tex] of 16 acres:
[tex]\frac{2}{8}[/tex] * 16 = 4 acres
He will need 4 acres out of the 16 acres for his soccer field and facility.
Two forces act on an object. The first force has a magnitude of 360 newtons and acts at an angle of 30° as measured from the horizontal. The second force has a magnitude of 240 newtons and acts at an angle of 135° as measured from the horizontal. Determine the vector v that represents the resultant force.
Answer:377.46 N
Step-by-step explanation:
Given
Vector 1 has a magnitude of [tex]360\ N[/tex] and makes an angle of [tex]30^{\circ}[/tex]
vector 2 has a magnitude of [tex]240\ N[/tex] and makes an angle of [tex]135^{\circ}[/tex]
Net Horizontal force
[tex]\sum F_h=360\cos 30+240\cos 135[/tex]
[tex]\sum F_h=311.769-169.70[/tex]
[tex]\sum F_h=142.069\ N\quad \ldots(i)[/tex]
Net vertical force
[tex]\sum F_v=360\sin 30+240\sin 135[/tex]
[tex]\sum F_v=180+169.705[/tex]
[tex]\sum F_v=349.705\ N\quad \ldots(ii)[/tex]
Net resultant force
[tex]F_{net}=\sqrt{F_h^2+F_v^2}[/tex]
[tex]F_{net}=\sqrt{(142.069)^2+(349.705)^2}[/tex]
[tex]F_{net}=377.46\ N[/tex]
angle which resultant make with x-axis
[tex]\tan \theta =\frac{\sum F_v}{\sum F_h}[/tex]
[tex]\tan \theta =\frac{349.705}{142.069}[/tex]
[tex]\tan \theta =2.461[/tex]
[tex]\theta =67.88^{\circ}[/tex]
Thus vector v is given by
[tex]\vec{v}=377.46[\cos 67.88+\sin 67.88][/tex]
Answer:
B) [tex]v=(180\sqrt{3} -120\sqrt{2})i+(18 0+120\sqrt{2} )j[/tex]
Step-by-step explanation:
I just did the test and this is the correct answer.
Find two numbers that multiply to -40 and add to -6.
Answer:
-10 and 4 are the answer
Step-by-step explanation:
-10 times 4 is -40 and
-10 plus 4 is -6
Hope this helps;)
For every 5 girls in mr hegarty class there are 4 boys what us the ratio of girls to boys in the class give your answer in its simplest form
Answer:5:4
Step-by-step explanation:
What steps should be taken to calculate the volume of the right triangular prism? Select three options.
A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters.
A. Use the formula A = one-half b h to find the area of the base.
B. Use the formula A = b h to find the area of the base.
C. The area of the base, A, is One-half (7) (8) = 28 meters squared.
D. The area of the base, A, is One-half (8) (14) = 56 meters squared.
E. The volume of the prism, V is (56) (7) = 392 meters cubed.
Answer:
Options A, D and E.
Step-by-step explanation:
Formula to calculate the volume of the triangular prism is,
Volume of the triangular prism = (Area of the triangular base)×(height)
= B × h
Area of the right triangular base = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]
= [tex]\frac{1}{2}(8)(14)[/tex]
= 56 m²
Volume of the prism = [tex](56)(7)[/tex]
= 392 cubic meter
Therefore, from the given options correct options are Option A, Option D and Option E.
Answer:
a,d, and e
Step-by-step explanation:
At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?
9514 1404 393
Answer:
6 : 5
Step-by-step explanation:
The ratio is ...
dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5
The ratio of dogs to cats at the shelter is 6 to 5.
Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in white. What is the probability that his rocket landed in the area WITHOUT grass?
A. 3/5
B. 4/5
C. 3/4
D.3/10