A bakery's specialty flour is a mixture of almond and coconut flour. The ratio of almond flour to coconut flour is 7:38 by volume. If a backery uses 180 cups of the flour mixture in a day, what is the volume, in cups, of the almond flour used?
According to the question,
The ratio of almond flour to coconut flour is 7:38
so,
the volume of the almond flour used in a day ,in terms of cups would be
[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]
[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]
[tex] \rightarrow28[/tex]
hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.
______________________________________
volume of coconut flour required in a day ,in terms of no. of cups would be
[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]
[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]
[tex] \rightarrow152[/tex]
hence ,152 cups of coconut flour are required to make the mixture.
_______________________________________
verification↷Given that,
The ratio of almond flour to coconut flour is 7:38
7:38 = 28:152
7:38 = 7 :38
LHS = RHS
hence , verified ✓
Let almond be 7x and coconut be 38x
ATQ
7x+38x=18045x=180x=4cupsTotal almond cupls=4(7)=28cups
Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or expression) that have the following solution sets: One solution: x=-3
Answer:
B=9
Step-by-step explanation:
X=-3 Plus c = b
C= 27
|x plus b| also = c
B=27 divided by 3
4x+70=9x-5 solve need serious help
Answer:
X=15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 15
Step-by-step explanation:
4x+70=9x-5
-4x -4x
______________
70 = 5x - 5
+5 +5
______________
75 = 5x
/5 /5
_____________
15 = x
Hope this helps :)
(If you need this explained in words let me know)
A researcher recorded the number of cows on each farm in the county.
Cows per farm
Stem Leaf
2 1 3 5 7
3 0 3 5
4 2 4 9
What is the range of the numbers?
Answer: 0
How: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Please help me with this
Simplify
PLEASE HELP
[tex]\dfrac 34(5a-16) - \dfrac 13(6a-3)\\\\=\dfrac{15a}4 - \dfrac{48}4 - 2a + 1\\\\=\dfrac{15a}4 -12-2a+1\\\\=\dfrac{15a}4 -2a -11\\\\=\dfrac{15a-8a-44}{4}\\\\=\dfrac{7a-44}4[/tex]
Answer:
1.75a - 11
Step-by-step explanation:
Remember your order of operations, first you want to start inside the parantheses. Nothing can be simplified there so move on to multiplication.
Distribute (mutiply) ¾ with (5a - 16) as well as -⅓ with (6a - 3) to get
3.75a - 12 - 2a + 1
Combine like terms, so 3.75 with -2a as well as -12 with 1.
1.75a - 11
Which you could also write as
⁷⁄₄a - 11 or 1¾a - 11
2a + 6 = 12
a =
Please answer this in 1 minute
I would really appreciate it
Answer:
a=3
Step-by-step explanation:
[tex]2a + 6 = 12[/tex]
[tex]2a+6-6=12-6[/tex] ( Subtract 6 from both sides)
[tex]2a=6[/tex] ( Simplify)
[tex]\cfrac{2a}{2}=\cfrac{6}{2}[/tex] (Divide both sides by 2)
[tex]a=3[/tex]
~
Answer:
2a+6=12
2a=12-6
a=6/2
a=3
question below......
Answer: (C) 37.68 m
Step-by-step explanation:
We can use a formula to help us solve for the circumference of this circle.
C = 2πr
C = 2π(6)
C ≈ 37.68 m
The circumference is about 37.68 m, so the answer to your question is option C.
The rectangle below has been enlarged by a scale of 3.5.
A rectangle with a length of 8 and width of 6.
[Not drawn to scale]
What is the area of the enlarged rectangle?
48 square units
168 square units
336 square units
588 square units
Please help fast. Thank you <3
Answer:
48 square units
Step-by-step explanation:
Area = length x width
= 8 x 6
= 48
Answer:
588
Step-by-step explanation:
8 x 3.5 = 28
6 x 3.5 = 21
Formula = Length x Height = Area
28 x 21 = 588
Elliot runs on a school track so he can measure his running distance each day. The table below shows the number of miles he ran each day this week.
What is the total distance Elliot ran from Sunday through Friday? Show your work.
Elliot’s goal is to run a total of 20 miles per week. What is the minimum number of miles he should run on Saturday to meet his goal? Show work or write an explanation to support your answer.
Answer:
three and three fourths
Step-by-step explanation:
add all the numbers and subtract from 20
Help plssssssssssssssssss
Answer:
1. 17/40, 0.425, 42.5%
2. 7/8, .875, 87.5%
Step-by-step explanation:
Add all of our balloons popped, which is 40. striped balloons popped is 17, so 17/40. which is 0.425 and 42.5%
for polka dots, it would be 7/8. 35/40 simplest form is 7/8 then we get .875, which is 87.5%
Draw the solution set for each of the following inequalities.
If you are NOT beinggreat78, DO NOT ANSWER THIS. Beinggreat still answer this fast though bc ppl are mean
Answer:
[tex]Here~you~go![/tex]
The answer is 5:19. Why? Because you add all the fruits together, and then compare them to the amount of peaches.
Someone pls help, I will pick brainliest!
Answer:
Your answer would be A. RSTU results from a translation of ABCD is not true.
Step-by-step explanation:
when you look at the images, it states the figure RSTU backwards, meaning, that it had to be reflected over the y-axis at some point, not a translation because a translation could not reflect a figure like a reflection can.
negative decimals on the number line part 1
Answer:
-7.4
Step-by-step explanation:
It's only one less than -7.5
PLease help me! Due tonight thank you!
Answer:
1432.08 centimeters^2 I think
Step-by-step explanation:
Surface Area = 2×(3.4×18 + 3.4×30.6 + 18×30.6) = 1432.08 centimeters2
I need help with this question please
Answer:
The answer to this question would be c
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.
1. How many students did the teacher survey?
Answer:
1000
Step-by-step explanation:
you have asked how many pupils have been surveyed and all of them have so it's 1000 the number of pupils
5pts and the person who has the correct answer gets brainliest
Answer:
4
Step-by-step explanation:
The one that weighs the less is 80
Pls give brainlest.
Answer:
EAsy 4
Step-by-step explanation:
What is the perimeter and area of the photo below? And please show me how you did it. I need it for a school math group, and I’m struggling. So please show work.
Answer:
Assuming the area is made up of a square and a semicircle.
Perimeter
The side length of the square = 18 ft
We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).
⇒ perimeter of the square = (3 x 18) + (18 - 12)
= 54 + 6
= 60 ft
Circumference of a circle = [tex]\pi[/tex]d (where d is the diameter)
⇒ arc length of the semicircle = 1/2 circumference
= 1/2 · [tex]\pi[/tex] · 12
= 6[tex]\pi[/tex] ft
Total perimeter = 60 + 6[tex]\pi[/tex] = 78.8 ft (nearest tenth)
Area
Area of a square = s² (where s is the side length)
⇒ area of square = 18²
= 324 ft²
Diameter = 2r ⇒ r = 1/2 diameter
Area of a circle = [tex]\pi[/tex]r² (where r is the radius)
⇒ area of the semicircle = 1/2 · [tex]\pi[/tex] · 6²
= 18[tex]\pi[/tex] ft²
Total area = 324 + 18[tex]\pi[/tex] = 380.5 ft² (nearest tenth)
The base of a hexagonal prism has an area of 82 square inches. The height of the prism is 9 inches. Find the volume of the prism.
Answer: V≈1.57×105
Step-by-step explanation: V=33
2a2h=3·3
2·822·9≈1.57225×105
Answer:
42.27in³
Step-by-step explanation:
Using the formulas
A=6ah+33a2
AB=33a2
2
V=ABh
Solving forV
V=3h3﹣h23h2+3A+Ah
2=3·93﹣92·3·92+3·82+82·9
2≈42.27214in³
2 Classify each triangle by its angles and its sides.
Answer:
10) acute triangle
13) right triangle
Step-by-step explanation:
all triangles have angles that add up to 180 degrees
find the third angle of the triangle by subtracting the known angles from 180
180-75-78=27
acute triangles have no angles that surpass 90 degrees which fits that triangle's description
180-54-36=90
since one angle is 90 degrees, it is a right triangle
Answer:
[tex]\huge\boxed{\bf\:10) \: Acute \: angled \: triangle}[/tex]
[tex]\huge\boxed{\bf\:11) \: Right \: angled \: triangle}[/tex]
Step-by-step explanation:
▪︎ Question 10 :
We need to find the missing angle at first. Take it as 'x' .
We know through the angle sum property of a triangle that the total sum of all the angles in a triangle will sum up to 180°. Hence,
75° + 78° + x° = 180°
153° + x° = 180°
x° = 180° - 153°
x° = 27°
Then, since all the angles are less than 90°, we can say that the triangle is an acute angled triangle.
[tex]\rule{150pt}{2pt}[/tex]
▪︎ Question 11 :
Just like the above question, we need to find the missing angle at first. Take it as 'y' .
The total sum of all the angles in a triangle will sum up to 180° (angle sum property of triangles). Hence,
36° + 54° + y° = 180°
90° + y° = 180°
y° = 180° - 90°
y° = 90°
Since, one angle is equal to 90°, the given triangle is a right angled triangle.
[tex]\rule{150pt}{2pt}[/tex]
A recipe uses 1 1/4 cups of milk to make servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk?
Please help!!!!
Answer:
Since a gallon is equal to 16 cup we need to get the amount of cups to 16.
1 1/4 x 12.8 = 16 so 12.8 servings! please tell me if im wrong
Step-by-step explanation:
Since a gallon is equal to 16 cup we need to get the amount of cups to 16. Find the amount that equals 16
I need help solving this.
Answer:
0.66
Step-by-step explanation:
4.91 x 10^2
Calculate 10 to the power of 2 and get 100.
4.91×100
Multiply 4.91 and 100 to get 491.
491
7.47×10^2
Calculate 10 to the power of 2 and get 100.
7.47×100
Multiply 7.47 and 100 to get 747.
747
491 divided by 747=0.65729585006693440428380187416332
0.65729585006693440428380187416332 is rounded to 0.66
HELP ASAP and whoever gets it right can have brainliest!
Answer:
3x8x10=240
240/3 = 80
Step-by-step explanation:
Answer if u know please ASAP if correct and speedy I’ll give brainliest
Answer: tbh its not a
Step-by-step explanation: i just know
Answer:
Answer is C. 2, -4,
Step-by-step explanation:
Which point is located at -5/8
Answer:
Point C
Step-by-step explanation:
it is 5 units negative wise, on a 8 point scale.
Answer: 5
Step-by-step explanation:
HeLP WiLL gIve BranIliEST
Answer:
1.I think the dot plot was the right decision because we are trying to go over specific data.For instance bar graphs are good if you are trying to get data on things that are in ranges like 1-3 and 4-6 but when you have things like this where he is trying to show each value its better to use a dot plot
2. 16 students are in this class (you can just count the dots to get this answer)
3. the class is a adult swim class-yes,this class ranges between 18 year olds to 32 year olds which are all legally adults
Half the students are between 2 and 3 years old-no,the minimum or youngest age that this set has is 18 years old which is still alot of a higher value than 2 or 3
Step-by-step explanation:hope this makes sense and helps you
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AC > EF given BC = EF. Upload the entire proof below.
Given:
BC = EF
Prove:
AC > EF
Answer: Lets say BC and EF = Xcm. AC is clearly longer than BC so its greater than Xcm. If AC is longer than Xcm, and EF is Xcm, then AC is no doubt longer than EF.
Step-by-step explanation:
Answer: A is farther away from C
Step-by-step explanation:
If BC = EF, then AC has to be greater than EF. This is because A is farther away from B from C
HELP NEEDED ASAP
3. James has a box shaped as a rectangular prism. The container is 8 inches long, 4 inches wide, and 5 inches high.
(a) Here is a model of the box. It is filled with unit cubes.
Find the volume of the box using the unit cubes. Explain your answer.
Answer:
(b) Find the volume of the box using the formula .
Answer:
(c) Find the volume of the box using the formula .
Answer:
(d) How does using the volume formulas to find the volume of a rectangular prism compare to counting unit cubes? Compare your answers in parts (b) and (c) your answer in part (a) to answer the question.
Answer:
Answer:
The volume is 160
Step-by-step explanation:
Explanation: To find the volume of the rectangular prism you need to multiply 8x20. The reason is because there are 20 cubes in each row (i'm sorry if i'm not good at explaining math very well). The way I found the volume was to count the amount of cubes on the side and multiply it by how many rows there were on top. So that brings me to 160. The product of 8x20. (I hope this helps, math isn't my best subject)
Answer:
V = 160 cubic inches
Given that,
Length, width and height of prism are 8 inches, 4 inches and 5 inches
The formula for the volume of a rectangular prism is given by :
So, the volume of the prism is 160 cubic inches.
Step-by-step explanation:
hope this helps!