Answers
Given:
Amount of flour in a bin = 30 cups
Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups
To find:
The correct equation and graph for the given situation.
Solution:
Let F be the amount of flour in the bin and c be the number of signature cakes.
Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups
Flour required for each signature cake = [tex]1.5[/tex] cups
Flour required for c signature cakes = [tex]1.5c[/tex] cups
Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:
[tex]F=30-1.5c[/tex]
At [tex]c=0[/tex], we get
[tex]F=30-1.5(0)[/tex]
[tex]F=30[/tex]
At [tex]F=0[/tex], we get
[tex]0=30-1.5c[/tex]
[tex]1.5c=30[/tex]
[tex]c=\dfrac{30}{1.5}[/tex]
[tex]c=20[/tex]
Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.
Related Questions
Circle experts...help! will give brainly to most detailed answer
Answers
Answer:
IU=161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
instruction Find m<LMN
Answers
Answer:
∠ LMN = 70°
Step-by-step explanation:
The tangent- secant angle LMN is half the difference of the measures of the intercepted arcs, that is
∠ LMN = [tex]\frac{1}{2}[/tex] (NK - NL) = [tex]\frac{1}{2}[/tex] (210 - 70)° = [tex]\frac{1}{2}[/tex] × 140° = 70°
Multiply: (2x+y) (n2-3xy+y2)
Answers
Answer:
[tex]{ \tt{(2x + y)( {n}^{2} - 3xy + {y}^{2} )}} \\ = { \tt{(2x {n}^{2} - 3 {x}^{2}y + 2x {y}^{2} + {n}^{2}y - 3x {y}^{2} + {y}^{3} )}} \\ = { \tt{ {y}^{3} - xy(y + 3x) + {n}^{2} y }}[/tex]
Hello!
(2x+y) (n2-3xy+y2)
2x* n²= 2xn²
2x* -3xy = -6x²y
2x* y² = 2xy²
y*n² = yn²
y*-3xy = -3xy²
y* y² = y³
=>
2xn²- 6x²y + 2xy² +yn²- 3xy² +y³
6.05kg, expressed in kilograms and grams
Answers
Answer:
6.05 kg, 6050 grams
Step-by-step explanation:
The kilograms were already given in your question, so that's one half done.
1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.
Please help!
This is a part 2 of a question, I found the first one and couldn’t find the second one. These are from edginuity. If you guys need the first part lmk.
Answers
Answer:
The vertical line test is basically a way to determine whether or not a graph is a function. All three of the options are accurate, so I would select all three.
Let me know if you have any other questions!
f(x+3)=2x+5 find f(x)
Answers
Answer:
Hello,
f(x)=2x-1
Step-by-step explanation:
[tex]f(x+3)=2x+5\\\\Let\ say\ x=y-3\\\\f(y-3+3)=2(y-3)+5\\\\\\f(y)=2y-6+5\\\\f(y)=2y-1\\\\\boxed{f(x)=2x-1}\\[/tex]
(10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)
Answers
55
you know you can just use a calculator or a search engine for that, right?
Answer:
i got 69 it should be right
Step-by-step explanation:
PLSSSS HELP ME!!!!! I HAVE A TEST IN THE MORNING WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST!
1. How would we name the polynomial below? Think about degree and number of terms.
x^4 + 3x^2 - x
2. Simplify by adding
(x + 4) + (2x + 7)
3. Multiply
3x^2(5x^3)
4. Divide
8x^3y^5 / 4x^2y^3
Answers
Answer:
2. 3x + 11
3. 15x^5
Step-by-step explanation:
2. Simplify by adding
(x + 4) + (2x + 7)
= x + 4 + 2x + 7
= 3x + 11
3. Multiply
3x^2(5x^3)
= 3 (5x^2 x^3)
= 3 (5x^2+3)
= 15x^5
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
-7x + 8, -12x + 12, -17x + 16, . . .
Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4
Answers
Answer:
The first one is the answer.
Step-by-step explanation:
It's an arithmetic sequence. It has a common difference.
d = an - a_n-1
an = -12x + 12
a_n-1 = - 7x + 8
d = -12x + 12 - (-7x + 8)
d = -12x + 12 + 7x - 8
d = -5x + 4
Try it. Let's try for the third term
-12x + 12 - 5x + 4
- 17x + 15 which is exactly what the third term is.
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less than the sum if the other two
Answers
Answer:
The shortest side of the triangle is 18
Step-by-step explanation:
Let the sides the triangle be x, y and z.
From the question, the perimeter of the rectangle is 64, that is
x + y + z = 64 ...... (1)
Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)
The third side, z, is 20 less than the sum of the other two, that is
z + 20 = x + y ...... (3)
Substitute equation (3) into (1)
Then,
z + 20 + z = 64
2z +20 = 64
2z = 64 - 20
2z = 44
z = 44/2 k
z = 22
From equation (3)
z + 20 = x + y
Then, k
22 + 20 = x +y
42 = x + y
x = 42 - y ...... (4)
Substitute this into equation 2
3x = 4y
3(42-y) = 4y
126 - 3y = 4y
4y + 3y = 126
7y = 126
y = 126/7
y = 18
Substitute this into equation (4)
x = 42 - y
x = 42 - 18
x = 24
∴ x = 24, y = 18 and z = 22
Hence, the shortest side of the triangle is 18.
Please help, the question is in the picture
Answers
Answer:
per = 18a 7a+2a+7a+2a
area = 14 [tex]a^{2}[/tex] 7a*2a
Step-by-step explanation:
Answer:
(i) 18a
(ii) 14[tex]a^2[/tex]
Step-by-step explanation:
i: 7a+7a+2a+2a
14a+4a
18a
ii: 7a*2a
14a2
I hope this helps!
nick was scuba diving at -32 1/2 feet if he descends another 8 3/5 feet what is his location ?
Answers
Answer:
-41 1/10
Step-by-step explanation:
subtract the two numbers may i get brainliest plz
This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1
Select the correct answer.
Which equation matches the function shown in the graph?
Answers
Answer:
D. y = cos(4x)
Step-by-step explanation:
The graph passes through the points y = 0 and x = 3π/8
So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.
Help help help help help
Answers
Answer: 0 and 4
Step-by-step explanation:
Can anyone help pls :)? Thank you
Answers
Explanation: The EXACT calculation would be 5.9215.. so the closest approximation would be
6, as it's only about .08 -ish away from 6.
Answer:
It's D:5.3
Step-by-step explanation:
√28 =5.29
Round off therefore is 5.3
A restaurant is ordering vegetables for the upcoming week. Potatoes are shipped in 30-pound bags and onions are shipped in 5-pound bags. If the restaurant receives 1,800 pounds of potatoes and onions and there are 25 more bags of potatoes than bags of onions, how many pounds of onions are received?
Answers
Answer:
525 pound of onions were recieved
Step-by-step explanation:
1 bag of potatoes: 30 pounds
total pounds of potatoes and onions received= 1800
let the total pounds of onions received be x,
25 bags of potatoes = 25 × 30= 750 pounds
now according to the question,
x + x + 750= 1800
2x = 1800 - 750
x= 1050 ÷ 2
x= 525
Note: plz correct me if I am wrong somewhere
The restaurant receives 150 pounds of onions.
How to determine pounds of onions receivedLet's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".
The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.
The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.
According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:
30(x + 25) + 5x = 1800
Simplifying the equation:
30x + 750 + 5x = 1800
35x + 750 = 1800
35x = 1800 - 750
35x = 1050
Dividing both sides by 35:
x = 1050 / 35
x = 30
Therefore, the restaurant receives 30 bags of onions.
To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:
Weight of onions = 5x = 5 * 30 = 150 pounds
Therefore, the restaurant receives 150 pounds of onions.
Learn more about Weight at
https://brainly.com/question/86444
#SPJ2
The mean age of 5 women in an office is 35 years old.
The mean age of 5 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?
Answers
Answer:
29.5
Step-by-step explanation:
(5×35)+(5×24)/10
175+120/10
295/10
=29.5
A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center
Answers
Answer:
1. Mean, because there are no outliers that affect the center
Step-by-step explanation:
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
The mean = ΣX / n
n = sample size, n = 15
Mean = 34 / 15 = 2.666
The median = 1/2(n+1)th term.
1/2(16)th term = 8th term.
The 8th term = 2
The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.
Both interquartile range and standard deviation are measures of spread and not measures of centre.
HELPPP PYTHAGOREAN THEOREM
Answers
Answer:
60
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+25^2 = 65^2
a^2 +625 = 4225
a^2 = 4225-625
a^2=3600
Taking the square root of each side
sqrt(a^2) = sqrt(3600)
a = 60
Answer:
Step-by-step explanation:
Hypotenuse: 65
Leg: 25
Let Hypotenuse be c, and leg be a
[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]
[tex]a^{2} + 25^{2} = 65^{2}[/tex]
[tex]a^{2} + 625 = 4225\\[/tex]
[tex]a^{2}[/tex] = 4225 - 625
[tex]a^{2}[/tex] = 3600
3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.
a = [tex]\sqrt{3600\\}[/tex]
a = 60
Therefore a is equal to 60 feet
Solve for x. Round all answers to the nearest tenth.
Answers
Answer:
4.6
Step-by-step explanation:
tan(75) = 17/x
x = 17/tan(75)
x = 34-17√3
x = 4.6
Answered by GAUTHMATH
Help me plz it’s due today
Answers
Answer:
10x²−9x
Step-by-step explanation:
10x²−10x−6+x+6
=10x²−10x−6+x+6
Combine Like Terms:
=10x²−10x−6+x+6
=(10x²)+(−10x+x)+(−6+6)
=10x²−9x
I hope this answer helps you out! Brainliest would be appreciated :)Answer:
10x^2=9x
Step-by-step explanation:
Add them together into one equation
10x^2 - 10x - 6 + x + 6
Now add like terms. The -6 and 6 cancel eachother out since they equal 0
10x^2 - 10x +x
You should get 10x^2 - 9x
Find the volume of a cone with radius 10 feet and height of 4 feet.
Answers
Answer:
[tex]\frac{400}{3} \pi[/tex]
Step-by-step explanation:
Formula for Cone: π[tex]r^{2}\frac{h}{3}[/tex]
Since we have all the components, we can find the volume of the cone.
R = 10
H = 4
π[tex]10^{2}\frac{4}{3}[/tex]
10×10 = 100
100π[tex]}\frac{4}{3}[/tex]
[tex]}\frac{4}{3}[/tex]×100
4 100 400
--- × ----- = ------
3 1 3
Answer: [tex]\frac{400}{3} \pi[/tex]
Hope this helped.
Find the volume of a cone with radius 10 feet and height of 4 feet.
Solution :Given Data :
Radius = 10 feet
Height = 4 feet
Formulae :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}[/tex]
Putting the values we get
[tex] \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }[/tex]
[tex] \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }[/tex]
[tex] \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }[/tex]
[tex] \frak{Volume_{(Cone)} = 418.67 \: ft³ }[/tex]
Henceforth, the volume is 418.67 ft³
Will Mark Brainlest Help pls
Answers
Answer:
can you snap it again it's not clear
Whoever can answer this question gets 100 Points!!!!!!!
question: What is 2 + 2 - 1
Answers
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
HELP ASAP!!!!!
thanksssssss
Answers
Answer:
[tex]9(c+5)=9c+45[/tex]
Step-by-step explanation:
Multiply 9 by the variable and the number
A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answers
Answer:
11/30
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Find the distance between (0,3) and (0,-6).
A. 9
B. -9
C. -3
D. 0
Answers
HELPPP MEE PLEASE!!!
Consider the function shown on the graph.
Answers
Answer:
Domain x ≥ - 5
Range y ≥ - 2
Step-by-step explanation:
x ≥ - 5
y ≥ - 2
The cars get miles to the gallon. After the car has traveled miles. 2 2/3 gallons of gas has been consummed
Answers
Answer:
80 miles
Step-by-step explanation:
Please find attached the graph used in answering this question
On the graph, the distance travelled is on the vertical axis while the gallons consumed in on the horizontal axis
from the graph, the following can be deduced :
0 gallons is consumed when the car travels 0 mile
1 gallon is consumed when the car travels 30 miles
2 gallons is consumed when the car travels 60 miles
total mile travelled when the gallons consumed is : 2 2/3 x 30
8/3 x 30 = 80 miles
Solve for x.
x = [?]
5x – 16
X + 10
Answers
Answer:
If it is expression than answer 6x-6
If it is an equation 5x-16=x+10 than answer is 13/2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
[tex]\\ \sf \longmapsto 5x-16=x+10[/tex]
[tex]\\ \sf \longmapsto 5x-x=10+16[/tex]
[tex]\\ \sf \longmapsto 4x=26[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{26}{4}[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{13}{2}[/tex]
