There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.
We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.
Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.
As per the given information, we can write the ratio would be as:
27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4 cup of dry oats
⇒ 27/ (1/2) = x/(2 1/4)
⇒ 27/ (1/2) = x/(9/4)
Reciprocal the term in the numerator,
⇒ 27 × 2 = x × 4/9
Apply the cross-multiplication operation,
⇒ x = 54 × 9/4
⇒ x = 121.50
Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.
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What is the equation of the following linear funchon?
Answer:
3x+8
Step-by-step explanation:
linear function formula ax+b
when x=3 3a+b=17 and when x=6 6a+b=26
3a=9 a=3,
when x=3 3.3+b=17 9+b=17 b=8
3x+8
A water storage tank is in the shape of a cone with the pointed end down. If the radius is 21 feet and the depth of the tank is 14 feet, find the volume of the tank in cubic feet. Use 22/7 for π.
The volume of the water storage tank is the amount of space in it
The volume of the water storage tank is 6468 cubic feet
How to determine the volume?The given parameters are:
Radius (r) = 21 feet
Height (h) = 14 feet
The shape of the water storage tank is a cone.
And the volume of a cone is:
V = 1/3πr^2h
So, we have:
V = 1/3 * 22/7 * 21^2 * 14
This gives
V = 6468
Hence, the volume of the water storage tank is 6468 cubic feet
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i need help fast i will mark brainliest
Answer:
50.24
Step-by-step explanation:
Area=R^2*PI
OR
Area-R*R*PI
So, Area=4*4*3.41
=50.24
Answer:
1,661.1
Step-by-step explanation:
A= 3.14 x (23 x 23)
3.14 x 529= 1,661.06
1,661.1
Determine the net change between the given values of the variable.
f(x) = 7x − 9; x = 2, x = 3
Answer:
the net change is 7
if u substitute x with
2 u get 5
3u get 12
4 u get 19
If made $90.00 how much was paid hourly?
Answer:
Made in how long of a workshift?
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS !! I HAVE 7 MINUTES TO TURN IT IN HELP PLEASE
Step-by-step explanation:
You know that the three lines are parallel.
There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.
We can then assume 2x+2-9=x+3
Then, to solve, you can get 2x-7=x+3
X=10
Hope this helped!
I'm a bit confused, but hope this helped again!
100 pts what is 2X2+6X5+8
Answer:
It's 42.
Step-by-step explanation:
Order of operations:
4+6*5+8
4+30+8
34+8
= 42
Therefore, the answer is 42.
Answer:
42
Step-by-step explanation:
The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50
Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5
Answer:
B to C;60
Step-by-step explanation:
Z to X;37.5 CORRECT ME IF IM WRONG #Carryonstudents
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Given the figure below, find the values of x and z.
Step-by-step explanation:
87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20
Answer:
=> z = 87° { vertically opposite angle }
=> 87° + (9x-87) = 180° { linear pair }
=> 87 +9x-87 = 180
=> 9x = 180°
=> x = 180/9
=> x = 20°
Pls help me with My math I need the ans rn, Tysm.
Answer:
35 degrees
30 degrees
Which statement is true about every exterior angle of any quadrilateral inscribed in a circle?
The measure of an exterior angle is equal to the measure of the nonadjacent interior angle.
The measure of an exterior angle is equal to the measure of an adjacent interior angle.
The measure of an exterior angle is equal to the average of the measures of the two adjacent interior angles.
The measure of an exterior angle is equal to the difference of the measures of the two adjacent interior angles.
Answer:
A
Step-by-step explanation:
In an inscribed quadrilateral, opposite angles are supplementary.
An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.
Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.
Answer: A
A florist used 16 flowers to make a bouquet, including 6 lilies.
What is the probability that a randomly selected flower will be a lily?
Answer:
3/8
Step-by-step explanation:
Values we are given :
16 flowers in total6 liliesWe know that :
Probability of selecting an object from a group of items = Number of objects / Number of itemsTherefore,
Probability of selecting a lily = Number of lilies / Number of flowersP = 6/16P = 3/8if right triangle RST, ST = 5, RT = 12, and RS = 13. Find tan (S).
Answer:
tan(S) = 12/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you the tangent ratio is ...
Tan = Opposite/Adjacent
In the given triangle, the side opposite angle S is RT, which has length 12. The side adjacent to angle S is ST, which has length 5. Then the tangent of angle S is ...
tan(S) = RT/ST
tan(S) = 12/5
_____
Additional comment
The rest of the trig functions in this triangle are ...
sin(S) = 12/13
cos(S) = 5/13
tan(R) = 5/12
sin(R) = 5/13
cos(R) = 12/13
Answer:
tan(S) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Hi there!
We are given ΔRST, where ST=5, RT=12, and RS=13
We want to find the tangent of angle S (the notation tan(S) means "tangent of angle S")
In trigonometry, tangent refers to the ratio of the opposite side/adjacent side.
The opposite side is the side that is opposite to the angle that we are referencing (in this case, angle S); in this case, that side is RT, which is 12
The adjacent side is the leg that is adjacent to the opposite side; in this case, that side is ST, which we were given as 5
Therefore, tan(S) will be [tex]\frac{RT}{ST}[/tex], or [tex]\frac{12}{5}[/tex].
Hope this helps!
In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.
Answer:
7.89 births per minute
Step-by-step explanation:
525600 minutes in a year
4,148,000 divided by 525600 =
7.89193302892
hellllllllllllllp please
Answer:
The hieght should be 3 cm
Step-by-step explanation:
We can put it into an equation form:
6⋅2⋅x=36
Then solve from there!
Hope this helps!!
Answer:
Yo I was going to answer this question but I assume there is a mistake I think your teacher meant the length of the box is 6cm if not the answer is 6 cm high if so and there's a mistake then the answer is 3 cm high.
Step-by-step explanation:
From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. Write your answer in simplest form.
Answer:
5/6
Step-by-step explanation:
In total there are 7+5+8+4+6=30 marbles. you need to take out the yellow marbles that you counted into the total of 30 marbles which would be 25 marble. this means that there are 25 out of 30 marble you can select that is not yellow. which gives you the probability of 25/30 simplify it to get 5/6
Drag each equation to its equivalent fact. DUE TODAY
Answer:
left left right
Step-by-step explanation:
rearange the formula as normal
Which of the following is the correct factorization of the polynomial below?
x^3 - 12
A. (x + 3)(x - 4)
B. (x - 3)(x + 4)
C. (x + 3)(x^2 - 4x + 4)
D. The polynomial is irreducible.
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is odd, what is the probability that the second digit is even? A. 1/2
B. 4/9
C. 1/8
D. 1/9
Answer:
A. 1/2.
Step-by-step explanation:
After the odd digit is taken out there are 8 digits left,
and of these 4 are even so
the answer is 4/8 = 1/2.
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answer:
no idea
is the answer
if you like my answer please like comment and mark me as brilliant
Stacy is making a scale model of the Eiffel Tower for French class. Her model is 500 times smaller than the actual tower, which is 300 meters tall. How many millimeters tall is Stacy's model?
Answer: 600 mm
Step-by-step explanation:
Let height of her model be x meters
So,
500x = 300
[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]
Therefore, Stacy's model is 600 millimeters tall
What is the classification of the pair of angles shown?
F. complementary
G. supplementary
H. vertical
I. no relationship
Answer:
Vertical
Step-by-step explanation:
Since both the angles are located directly opposite of each other, this is a vertical angle pair.
What is the equation of the line that passes through the point (3,7) and has a slope of 2/3
Answer:
[tex]Y=\frac{2}{3} x +5[/tex]
Hope This Helped! :) Please Mark Brainliest!
Find the value of y.
As
<IJK and <IKJ are equal measured
The triangle is isoceles
The adjacent sides of both angles are similar
Hence
IJ=IKy=21Answer:
21
Step-by-step explanation:
as angle J and angle K are equal, sides JI and IK are also equal. So y = 21
The volume of a sphere is 9,198.11 ft3. To the nearest foot, what is the radius of the sphere? Use 3.14 for π.
I WILL GIVE BRAINLYEST AND 60 POINTS. Please help me ASAP.
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q
Answer:
This may or may not help be it might get you close.
HELP The recursive rule for a sequence is shown An=An-1 +4 a1=14 write the explicit rule in simplified form for the sequence An=
Answer:
aₙ = 4n + 10Step-by-step explanation:
Given is the AP with
The first term of 14The common difference of 4Explicit rule for the sequence is
[tex]a_n=a_1+(n-1)d=14+(n-1)(4)=14+4n-4=4n+10[/tex]Answer:
[tex]\sf a_n=4n+10[/tex]
Step-by-step explanation:
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.
An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.
Given recursive rule:
[tex]\begin{cases} \sf a_n=a_{n-1}+4\\ \sf a_1=14\end{cases}[/tex]
Therefore, the next two values in the sequence are:
[tex]\begin{aligned} \implies \sf a_2 & = \sf a_{2-1}+4\\& = \sf a_1+4\\& = \sf 14+4\\& = \sf 18\end{aligned}[/tex]
[tex]\begin{aligned} \implies \sf a_3 & =\sf a_{3-1}+4\\& = \sf a_2+4\\& = \sf 18+4\\& = \sf 22\end{aligned}[/tex]
Explicit formula
[tex]\sf a_n=a+(n-1)d[/tex]
where:
[tex]\sf a_n[/tex] is the nth terma is the first termn is the number of the termd is the common difference between termsGiven:
[tex]\sf a = a_1=14[/tex][tex]\sf d = 22-18=4[/tex]Substituting the given values into the formula:
[tex]\sf \implies a_n=14+(n-1)4[/tex]
[tex]\sf \implies a_n=14+4n-4[/tex]
[tex]\sf \implies a_n=4n+10[/tex]
Therefore, the explicit rule in simplified form for the sequence is:
[tex]\sf a_n=4n+10[/tex]
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Define then compare and contrast diverges and converges.
Answer:
Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.
! PLS HELP ! In a raffle, one thousand tickets are sold. There
is a grand prize of $4000, a second prize of
$500, and a third prize of $100. What ticket
price would make this game fair?
Answer:
$4.60
Step-by-step explanation:
Write each expression as a single power of 10.
Answer:
Refer to below!
Step-by-step explanation (a):
[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]
[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]
Step-by-step explanation (b):
[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow{10^{9} }[/tex]
Step-by-step explanation (c):
[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{2} }[/tex]
Step-by-step explanation (d):
[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]
[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]
[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{5} }[/tex]
Step-by-step explanation (e):
[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]
[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]
[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]
[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow {10^{4}[/tex]