The amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
Some nutritionists recommend that people eat 31,000 milligrams of fiber each day.
The total amount of fiber Jodi took = 19 + 4 + 2(1) = 25 grams
1 gram = 1000 milligrams
25 grams = 25000 milligrams
The amount of fiber she needs to eat
= 31000 - 25000
= 6000 milligrams
or
= 6 grams
Thus, the amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.
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What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
Translate the verbal phrase "three less than three times a number w into an expression.
Answer:
3w - 3
Step-by-step explanation:
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 10 and DC = 25, what is the length of AC
Answer:
10
Step-by-step explanation:
Which one does not belong?
a 6x + 12y = 36
b 3x + 6y = 18
c 2x - 2y = 12
d x + 2y = 6
Answer:
C 2x-2y =12
Step-by-step explanation:
A, B, C and D are additional equations with x and y in ratio 1:2 and their totals also in equivalent increasing dimension.
A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?
Which points are less than 17?
Points P and Q
Point S
Points P, Q, and R
Points P, Q, and S
Answer:
Points P and Q
Step-by-step explanation:
P = 6 < 17
Q = 13 < 17
R = 17 = 17
S = 19 > 17
Kate is making biscuits. She uses flour, butter, and sugar in the ratio 5:3:2 Kate has 800 g flour 550 g butter. Kate wants to make the maximum number of biscuits possible. She works out how much sugar she needs. (a) How much sugar does Kate need? You must show working.
Answer:
800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits
160 biscuits × 3 grams butter/biscuit = 480 grams butter
160 biscuits × 2 grams sugar/biscuit = 320 grams sugar
Katie needs 320 grams sugar.
Kate needs 270g of sugar to make the maximum number of biscuits possible.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;
⇒ 800g + 550g
= 1350g of the mixture.
Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.
We can do this by adding up the ratio numbers;
(5+3+2) = 10.
Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.
So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:
2/10 = x/1350
We can solve for x by cross-multiplying:
2 × 1350 = 10x
2700 = 10x
x = 270
Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.
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Assume: (1) FIT calculated by percentage method; (2) Social Security 6.2% on $128,400; and Medicare 1.45%.Cumulative balance before this payroll is below maximum as related to cumulative earnings in calculating Social Security. (Round your answers to the nearest cent.)
The missing quantities are
Social Security= $217
Medicare = $50.75
Net Pay is $2,633.67
First, Taxable income is therefore;
= 3,500 - (76.90 x 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, the tax is $565.15 plus 28% of anything above $3,073.
= 565.15 + (28% x (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
and, Social Security
= Gross pay x 6.2%
= 3,500 x 6.2%
= $217
and, Medicare
= 3,500 x 1.45%
= $50.75
Then, the Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
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w=x^2-2yx make y the subject of the formula
Answer:
\(y=\dfrac{x^2-w}{2x}\)
Step-by-step explanation:
The given equation is :
w=x²-2yx
We need to find the value of y.
Subtract x² from both sides.
w-x²=x²-2yx-x²
w-x² = -2yx
Dividing both sides by -2x
\(\dfrac{w-x^2}{-2x}=\dfrac{-2yx}{-2x}\\\\y=\dfrac{w-x^2}{-2x}\\\\y=\dfrac{x^2-w}{2x}\)
So, the value of y is equal to \(\dfrac{x^2-w}{2x}\).
given the following venn diagram, where a and b are each represented by an oval: exam image which regions make up ( aexam imagebc )c?
The correct answer is U - II = I + III + IV.
In order to solve problems based on these sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.
c represent the compliment of the particular state.
U is the union set
∩ represent intersection between the neighbouring sets
Therefore,
Bc = U - B = I + II
Bc∩A = Area common in Bc and A = II
(Bc∩A)c = Area in U but not in (Bc∩A) = U - II = I + III + IV
So, answer is d.
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Can someone help me with this math problem asap
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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Please help me! (this is from khan academy 6th grade math!)
Answer:
1st → 1st
2nd → 3rd
3rd → 2nd
Step-by-step explanation:
just divide the first set of student wishes to the second set of students in the same question. the 1st for example
x-ray to all students is 6/ 36= 1/6 = 1:6
for all students, you add all the students in the table
Answer:
1st=1st
2nd=3rd
3rd =2nd
Step-by-step explanation:
basic math
what is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?
Answer:
The equation of the line will be:
\(y=-\frac{1}{2}x-6\)
Step-by-step explanation:
Given
slope = m = -1/2point (4, -8)Point slope form:
\(y-y_1=m\left(x-x_1\right)\)
substituting the values m = -1/2 and the point (4,-8)
\(y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)\)
\(y+8=\frac{-1}{2}\left(x-4\right)\)
subtract 8 from both sides
\(y+8-8=\frac{-1}{2}\left(x-4\right)-8\)
\(y=-\frac{1}{2}x-6\)
Therefore, the equation of the line will be:
\(y=-\frac{1}{2}x-6\)
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
A survey of all beings on planet alaber found that 76% preferred froph juice to all other juices. If 38 being’s preferred froph juice, how many beings were surveyed altogether
Altogether the number of beings surveyed are equal to 50.
According to the question,
We have the following information:
A survey of all beings on planet alaber found that 76% preferred froph juice to all other juices. And 38 being’s preferred froph juice.
Now, let's take the number of beings who were surveyed altogether to be x.
So, we have the following expression when we solved the percentage:
76x/100 = 38
Using the cross-multiplication method, we will have 38 multiplied by 100 and 76x being multiplied by 1:
76x = 3800
x = 3800/76
x = 50
Hence, altogether the number of beings surveyed altogether is 50.
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A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
Which is misleading about the data shown on the figure?
Number of members
Look at the photo
The misleading about the data shown on the figure is the clas width
Which is misleading about the data shown on the figure?From the question, we have the following parameters that can be used in our computation:
The histogram
On the histogram, we have the following readings
1 - 2021 - 3031 - 4546 - 65From the above, we can see that
The above readings are not consistent i.e. the class widths are not equal
Hence, the misleading about the data shown on the figure is the clas width
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Thirty-one plus three times a number is seventy-six.
Helppp.
Answer:
15
Step-by-step explanation:
Pretend a is the number.
We have: 31 + 3a = 76
=> 3a = 76 - 31 = 45
=> a = 45/3
=> a = 15
line passing through points (3,5) with a slope of 1
Write equation of the line in point-slope, slope- intercept, and standard form.
The linear equation with a slope of 1 that passes through (3, 5) is:
y = x + 2.
How to get the linear equation?
The general linear equation is given by:
y = a*x + b
Where b is the y-intercept and a is the slope.
Here we know that the slope is 1, so we have:
y = x + b
And we also know that the line passes through (3, 5), then we must have that:
5 = 3 + b
We can solve that for b:
b = 5 - 3 = 2
So the linear equation is:
y = x + 2.
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what is 25% of 18£ I need help doing it
As part of a study on the effect of forest fragmentation on the decline of the songbird population, a team of researchers needs to gather information on the nest predation. A large forest area is divided up into N = 80 (nonoverlapping) sites, each of approximately the same size. Due to time and cost constraints, the researchers would like to select five of these sites at random and send out one team of researchers to each site for observation. You are to select a simple random sample of size n = 5 from a population of 80 sites. Explain how you would label the sites and how you would use random integer on the TI calculator. Using a seed value of 29, identify the 5 sites that would be selected from the 80 sites in the forest.
The selected samples are 47, 53, 68, 57, 34.
How to solve thisHere, the random numbers are chosen that:
It should lie between 0 and 80The same number should not come twice.According to the above rule, we divide the random number table values until we obtain n= 5 samples.
The numbers are:
85, 47, 5, 4, 58, 57, 53, 34, 42
Thus, the selected samples are 47, 53, 68, 57, 34.
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What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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Find the value of x. 1222° 0 111 O 55 O 42 O 138
Based on the outside angles theorem, the value of x is: 42°
What is the Outrside Angles Theorem?The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.
Given the following:
One arc measure = 222°The second arc measure = 360 - 222 = 138°Therefore, based on the outside angles theorem, we would have the following:
x = 1/2(222 - 138)
x = 42°
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Consider the following.f(x) = -2x4 + 13x3 – 21x2 + 2x + 8(a) List the possible rational zeros of f. (Enter your answers as a comma-separated list.
1) We need to use the Rational Roots Theorem:
\(f\mleft(x\mright)=-2x^4+13x^3-21x^2+2x+8\)So, let's write out a ratio with the possible rational roots, considering the constant term and the leading coefficient:
\(\frac{constant\:term\:divisors}{leading\:coefficient\:divisors}=\frac{\pm1,2,4,8}{\pm1,2}\)a) So the list of all possible zeros is:
\(\pm1,\pm\frac{1}{2},\pm2,\pm4,\pm8\)Note that "possible' does not mean the list of all real rational roots. We'd need to plug into the function and check
A triangle has an area of 42 square feet.if the height of the triangle is 4 feet, how many is the length of the base.
Answer: Base= 21 ft
Step-by-step explanation: 0.5(base)(height) = 0.5 (base) 4 = 42
Hope this helps!
The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?
Answer: They resold them for $30 more than the original price.
Answer: 37.5%
Step-by-step explanation:
$80 - $50 = $30,
$30/$80 = 0.375 > 37.5%
find the length of AB
Answer:
ICE CREAMZ
Step-by-step explanation: