Answer:
20≤4x+2y
Step-by-step explanation:
Given data
maximum amount to spend= $20
Egg cake costs $4
Cream cake costs $2
let Egg cake be x
let Cream cake be y
Hence the total is given by
20≤4x+2y
Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?
If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90
If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4
The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.
Given to us
To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.
To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.
Ratio for 30 ServingsA.) If We are making 30 servings of bread and using 0.45 oz of yeast,
As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,
[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]
Using the ratio for 0.45 oz of yeast,
[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]
[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]
[tex]\rm {Flour} = 90\ oz[/tex]
Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.
Ratio for 90 ServingsB.) If We are making 90 servings of bread and using 720 oz of flour,
As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,
[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]
Using the ratio for 720 oz of flour,
[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]
[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]
[tex]\rm {Flour} = 90\ oz[/tex]
Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.
Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.
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Help im behind my math class. pls
Answer:
Please check the explanation.
Step-by-step explanation:
From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.
Therefore, the pairs of alternating interior angles formed by the two transversal lines are:
∠1 & ∠5 ∠2 & ∠4∠2 & ∠7 ∠3 & ∠6We know that alternating interior angles formed by a transversal line are congruent.
Thus,
∠1 = ∠5 ∠2 = ∠4∠2 = ∠7 ∠3 = ∠6Part a)
Given
m∠1 = 3x + 42
m∠5 = 8x - 8
As
∠1 = ∠5
So
3x + 42 = 8x - 8
flipe the equation
8x - 8 = 3x + 42
subtract 3x from both sides
8x - 8 - 3x = 3x + 42 - 3x
5x - 8 = 42
add 8 to both sides
5x - 8 + 8 = 42 + 8
5x = 50
divide both sides by 5
5x/5 = 50/5
x = 10.0000 (Rounded to four decimal places)
Thus, the value of x = 10.0000 (Rounded to four decimal places)
Part b)
Given
m∠6 = 12°
It is clear that angles ∠6 and angle ∠7 lie on a straight line.
Thus,
The sum of ∠6 and ∠7 is 180°.
∠6 + ∠7 = 180°
substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°
12° + ∠7 = 180°
subtract 12 from both sides
12° + ∠7 - 12° = 180° - 12°
∠7 = 168°
Thus, measure of angle ∠7 = 168°.
We already know that alternating interior angles formed by a transversal line are congruent.
∠7 and ∠2 are alternating interior angles.
Thus,
∠2 = ∠7
As ∠7 = 168°.
Therefore,
∠2 = 168°
Hence, we conclude that
∠2 = 168°
What is 124% of 20? Pls help meeeeeeee
Answer: 24.8
Step-by-step explanation: Hope that helps
Mr. Luu spent 15.99 on new flashlights. If 12 students are using flashlights what is the unit cost per student round the answer to the nearest hundreds.
Answer:
$1.33 per student
Step-by-step explanation:
Mr. Luu spent 15.99 on new flashlights.
Total number of students = 12
We need to find the unit cost per student. It can be calculated by dividing the total cost and the total number of students.
[tex]C=\dfrac{15.99}{12}\\\\C=1.33[/tex]
So, the required cost per student is 1.33.
Ariel bought 8 balloons for $3.20. Mrs.Torres spent $38.40 on balloons at the same store. How many balloons did Mrs.Torres buy?
A.15
B.96
C.40
D.64
Answer:
96 because 3.20 divided by 8 is 0.4 and 0.4 times 96 is 38.4
21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?
PLEASE HELP ME! :(
Answer:
The company has 70 falvors
What is the complete factorization of 8x2 − 8x + 2?
A. 2(4x − 1)2
B. 8(x − 1)(x + 1)
C. 2(2x − 1)2
D. 2(x − 2)(x + 2)
Answer:
Step-by-step explanation:
8x^2 - 8x + 2
2(4x^2 - 4x + 1)
2(2x - 1)(2x - 1) or 2(2x - 1)^2
answer is C
The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
What is factorization ?Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.
We have,
[tex]8x^2 - 8x + 2[/tex]
Using the mid term splitting method;
[tex]=8x^2-4x-4x+2[/tex]
[tex]=4x(2x-1)-2(2x-1)[/tex]
[tex]=(4x-2)(2x-1)[/tex]
[tex]=2(2x-1)(2x-1)[/tex]
[tex]=2(2x-1)^2[/tex]
So, the factorization of the given expression is given in option [tex](c)[/tex] i.e. [tex]2(2x-1)^2[/tex] .
Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
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please answer the following
The quotient of 9 and a number less 4
Answer:
ead the excerpt from "The Most Dangerous Game,” by Richard Connell.
His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.
Which analysis best explains the effect of adding the female character
Step-by-step explanation:
The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions
Variables:
equation:
Solution:
Answer:
the length and width be 13.33 feet and 34.67 feet respectively
Step-by-step explanation:
The computation is shown below:
Let us assume the width be x
So, the length be 2x + 8
As we know that
The perimeter of the rectangle = 2(length + width)
96 = 2(2x + 8 + x)
96 = 4x + 16 + 2x
96 - 16 = 6x
80 = 6x
x = 80 ÷ 6
= 13.33 feet
So, the length would be
= 2 × 13.33 + 8
= 34.67 feet
Hence, the length and width be 13.33 feet and 34.67 feet respectively
Find the scale factor
Answer:
36/x =48/24
36/x =2
2x= 36
x= 36/2
x=18
Translate the following expression from a numerical expression to a verbal expression: 5(2n + 7) –3
HELP PLZ
Answer:
Five times the sum of two times a number plus seven all minus three
Step-by-step explanation:
P and q are points on the line y=2-4X
Draw the line y= 2-4X for vales of x from -2 to 2
Answer:
`The answer is below
Step-by-step explanation:
P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)
Draw the line y= 2-4X for vales of x from -2 to 2
Solution:
The equation of a line is given by:
y = mx + b
Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).
The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.
x: -2 -1 0 1 2
y: 10 6 2 -2 -6
The value P(0, ) Q( ,0)
The y coordinate of point P is gotten by substituting x = 0:
y = 2 - 4(0) = 2
P = (0, 2)
The x coordinate of point Q is gotten by substituting y = 0:
0 = 2 - 4x
4x = 2
x = 0.5
Q = (0.5, 0)
There are only red, blue and green counters in a bag.
There are 4 red counters.
There are 5 blue counters.
There is 1 green counter.
Matt takes a counter at random from the bag.
a) What is the probability that the counter is red?
Give your answer as a fraction.
b)
What is the probability that the counter is not blue?
Give your answer as a fraction.
Answer:
A 4/10
B 5/10
Step-by-step explanation:
A because there are 4 out of the 10 that are red
B because there 5 out of the 10 that are not blue
please help thank you so much
Answer:
Q=63 degrees
Step-by-step explanation:
R=60 degrees
since T=123 degrees, S=180-123=57 degrees
There is 180 degrees in a triangle
Q=180-60-57
Q=63 degrees
Lattice has £15000 in a savings account at the start of the year. How much will she have at the end of the year if the annual interest rate is 7.5%?
Answer:
£13 875
Step-by-step explanation:
first you have to find out how much is 7.5% of 15 000 and you find it by calculating 0,075 times 15 000 which becomes 1 125. then you take out that answer from your first answer which is 15 000 - 1 125= 13 875
Expression 10 x (250 + 45) years
Answer:
2950
Step-by-step explanation:
the answer is 2950 the reason why is if u solve the given problem this is what you get
Answer:
250+45=325 x 10=3250
Step-by-step explanation:
What is the volume of the following rectangle prism? Plz help
Answer:
7 2/3 or 7.666
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
since we only have two points we have to do
4/3 x 23/4 = 7 2/3 or 7.666
so the answer is 7 2/3 or 7.666
I need help fast thank you!
Answer:
the third one
Step-by-step explanation:
Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8
Answer:
y = -5x + 4
Step-by-step explanation:
Solve for y
10x + 2y = 8
2y = -10x + 8
y = (-10x)/2 + 8/2
y = -5x + 4
Write an equation in slope-intercept form for the line with slope and -intercept .
Answer:
y = [tex]\frac{2}{5}[/tex] x - 9
Step-by-step explanation:
Please answer hurry I’m times
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle?
The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of envelopes and 6 boxes
of notebook paper cost $17. Find the cost of each. 8.
(Need step by step please!)
Answer:
Step-by-step explanation:
E for Envelopes
N for Notebook Paper
3E + 4N = $13.25
2E + 6N = $17
N = $2.45
E = $1.15
a
\large 140\frac{1}{2}
b
\large 140\frac{1}{3}
c
\large 141
d
\large 140\frac{3}{4}
3x + 16 = 136
(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)
Subtract 16 from each side. Then divide both sides by 3.
Answer:
x = 40
Step-by-step explanation:
Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)
Answer:
The function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
Step-by-step explanation:
We know that an exponential function is of the form
y = abˣ
where 0 < b < 1
Please note that an exponential function cannot have a base of 0, 1, or a negative value.
Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as
here 0 < b < 1 and a > 0
Therefore, the function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
If 5 pizzas cost $60, how much will 9 pizzas cost?
10
Answer:
108
Step-by-step explanation:
do 60 divided by 5 and you get 12 so that = 1 pizza then do
12 x 9 to get 108
Answer:
108
Step-by-step explanation:
60 / 5
1 pizza would cost 12
9 × 12 is 108
jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?
Answer:
37 minutes. :))
Step-by-step explanation:
HELP The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle?
A: x^2 + (y + 5)^2 = 10
B: (x + 5)^2 + y^2 = 10
C: x^2 + (y + 5)^2 = 100
D: (x + 5)^2 + y^2 = 100
Answer:
the answer is c, x^2+(y+5)^2=100.
Step-by-step explanation:
if you go to a graphing calculator and input the equation, you can count the units and see that that’s the right answer.
i also just took the quiz on edge and got a 100%
Answer:
a
Step-by-step explanation:
just got it right on edge
