Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount of flour, in cups, needed for the loaf of bread. Show your work.
b = 24c
(1/4)b + 4c = 5/4

Answers

Answer 1

The amount of flour needed for soft pretzel is c = 1/8 and the amount of flour needed for the loaf of bread is b = 3.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given system of equations,

b = 24 c and

[tex]\frac{1}{4}[/tex] b + 4c = [tex]\frac{5}{4}[/tex]

Substitute b = 24 c in the second equation.

[tex]\frac{1}{4}[/tex] (24 c) + 4c = [tex]\frac{5}{4}[/tex]

6c + 4c = [tex]\frac{5}{4}[/tex]

10 c = [tex]\frac{5}{4}[/tex]

c = [tex]\frac{5}{4}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{8}[/tex]

b = 24c = 24 / 8 = 3

Hence c = 1/8 and b = 3 in cups.

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Related Questions

let sets a and b defined as follows
A is c,d,e,f,g
b is the set of odd numbers greater than 5 and less than 13

Answers

Answer:

The set A is defined as the set containing the elements c, d, e, f, and g.

The set B is defined as the set of odd numbers greater than 5 and less than 13. This set includes the elements 7, 9, and 11.

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

The equation is ?

The solutions to the equation is ?

Answers

Equation [tex]x^{2}-6x=-5[/tex]

Solving:

[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]

How to solve this problem?

Answers

The geometry object known as a line extends on both sides and is defined as an object with zero width. Any line without curves is said to be straight.

What is a straight line called?

An object with zero width that extends on all sides is referred to as a line in geometry. Simply put, a straight line is an uncurved line. As a result, a straight line is one without any curves that stretches to infinity on both sides.

A line is a perfectly straight, one-dimensional shape that is endlessly long and thin in both directions. A line may be referred to as a straight line or, more formally, a right line (Casey 1893), to stress that there are no "wiggles" throughout its entire length.

y=mx+c

Definition. Y=mx+c is the formula for a straight line. m is the gradient and c is the height, commonly known as the y-intercept, at where the line crosses the y-axis in the equation y = m x + c.

[tex](b) $\because$ perpendicular makes an angle of $60^{\circ}$ with the line $x+y=0$.$\therefore$ the perpendicular makes an angle of $15^{\circ}$ or $75^{\circ}$ with $x$-axis.[/tex]

[tex]Hence, the equation of line will be $x \cos 75^{\circ}+y \sin 75^{\circ}=4$or $x \cos 15^{\circ}+y \sin 15^{\circ}=4$$(\sqrt{3}-1) x+(\sqrt{3}+1) y=8 \sqrt{2}$or $\quad(\sqrt{3}+1) x+(\sqrt{3}-1) y=8 \sqrt{2}$[/tex]

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suppose that a randomly generated list of numbers from 0 to 9 is being used to simlulate an event that has a probability of success of 30% which of these groups of numbers could represent a success

Answers

Any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.

What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is that suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 30%.

For the success rate of 30%, this means the probability of that specific event would be 0.3.

So any event for which, the 3 numbers between 0 and 9 are outcomes or are the number of favorable events could represent the success.  

Therefore, any event for which, the 3 numbers between 0 and 9 are outcomes could represent the success.  

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Find each indicated measure.
Find m

Answers

Answer:

m<N = 32°

Arc NQ = 106°

Step-by-step explanation:

✔️Find m<N:

Inscribed angles theorem, we would have;

m<N = ½(arc MP)

arc MP = 64°

Substitute

m<N = ½(64°)

m<N = 32°

✔️Find measure of arc NQ:

m<P = ½(arc NQ) => inscribed angle theorem

53° = ½(arc NQ)

Multiply both sides by 2

2*53° = arc NQ

106° = arc NQ

Arc NQ = 106°

What is the value of k?

1/2k + 6 = 4k - 8

Answers

Answer:

k=4

Step-by-step explanation:

[tex] \frac{1}{2} k - \frac{4}{1} k = - 8 - 6[/tex]

[tex] \frac{(1 \times 1) - (4 \times 2)}{(2 \times 1)} k = - 14[/tex]

[tex] \frac{1 - 8}{2}k = - 14[/tex]

[tex] - \frac{7}{2} k = - 14[/tex]

[tex] \frac{ - \frac {7}{2} }{ - \frac{7}{2} }k = \frac{ - 14}{ - \frac{7}{2} } [/tex]

[tex]k = 4[/tex]

a copy machine can make 500 copies every 4 minutes. how many minutes per copy?

Answers

Answer:

125 per minute.

Step-by-step explanation:

To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)

You get the answer 125.

What is this expression in simplified form?
(√22) (5√2)
O A. 10√11
O B.
12√11
O c.
20v/11
OD. 24√/11

Answers

General Formulas and ConceptsPre-Algebra

Radicals

Simplifying radicals

ApplicationStep 1: Define

Let's organize what the problem gives us.

We are given an expression to simplify:  [tex]\displaystyle (\sqrt{22})(5 \sqrt{2})[/tex]

Step 2: Work

Recall the specific rules to simplify radicals. We will apply those rules here to help us answer the question:

[tex]\displaystyle\begin{aligned}(\sqrt{22})(5 \sqrt{2}) & = 5 \sqrt{44} \\& = 5 \sqrt{4 \cdot 11} \\& = (5 \sqrt{4})(\sqrt{11}) \\& = (5 \cdot 2)(\sqrt{11}) \\& = \boxed{ 10 \sqrt{11} }\end{aligned}[/tex]

∴ the expression (√22)(5√2) simplifies down to 10√11.

Answer

∴ the expression in simplified form is equal to A. 10√11.

___

Topic: Pre-Algebra

Unit: Radicals

Determine if the graph is a function.

Answers

Answer:

1. not a function

2. function

3. function

Step-by-step explanation:

ask yourself..."does it pass the vertical line test?"

please only right answers

Answers

Answer:

what is the full question? 4 units left or right or?

Five snails are having a race. The snail's speeds are given in the table. Which two snails are going the same rate of speed?

Answers

Answer:

2 1/5 for alice

4 3/14 for Bert

5 for Carl

5 for Eva

5 1/2 for Dennis

Carl and Eva

Step-by-step explanation:

brainliest please

help please! i give brainly-est just help no links! (if u give incorrect answer i bop u and reports) TwT

Answers

Answer:

3. 1

4. 8.625 mi

5. 5 3/8

Step-by-step explanation:

That's all I know

Hii... please talk to me, I want a friend :(

Find the area of the image.
help pls

Answers

Answer:

[tex]A) 16.56 ~in^{2}[/tex]

Step-by-step explanation:

[tex]Area=\frac{a+b (h)}{2}[/tex]

[tex]\frac{6.1+3.1(3.6)}{2}[/tex]

= [tex]\frac{9.2(3.6)}{2}[/tex]

= [tex]4.6(3.6)[/tex]

= [tex]A=16.56[/tex]

----------------------

hope it helps...

have a great day!!

Answer:

A) 16.56

Step-by-step explanation:

hope it helps...

PLEASEEEE HELP MEE WITH THIS EQUATION

Answers

Answer:

Basically, LON would be 8z + 112 + 6z - 17

So, our equation will look like this

8z + 112 + 6z - 17 = -1z + 65

Subtract the 6z from the 8z

2z + 112 - 17 = -1z + 65

112 - 17 = 95

2z + 95 = -1z + 65

add the 1z

3z + 95 = 65

subtract the 95

-30

3z = -30

The answer is -10 :)

Step-by-step explanation:

Answer:

LON=75

Step-by-step explanation:

LON= LOM=NOM

-1z+65=8z+112-6z-17

-1z+65=2z+95

3z=-30

z=-10

LON= -1z+65

       = -1(-10)+65

       = 10+65

LON= 75

Is it plausible that the average commute time is actually 20 minutes? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Most commutes to work or errands are about 8 to 32 minutes - averaging at around 20 minutes.

answer t h i s. p l e a s e

Answers

N = 5 and I think the second one is uhhh I’m not sure but Ik those underlines mean that is is either greater or equal to

The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width.

Answers

4 times 4 which is 8 so 8 times 4 which is 32 so divide that by 138 but divide the 138 first and you will get 17.25?

WILL MARK BRAINLIEST

The sum of an interior angle and its exterior angle is ___ for all regular polygons.

Answers

Answer:

180

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

Hope it helped :)

Plz help me well mark brainliest if correct.......????.

Answers

Answer:

the answer is 6 feet!!

Answer:

A. 6 feet

Step-by-step explanation:

5. What polygon is shown?
+

Answers

Answer:

Step-by-step explanation:

Pentagon

Answer: Pentagon

Step-by-step explanation: The shape has 5 sides so it's a pentagon

For every 15 situps Ryan does, he does 10 push-ups. Create a table of equivalent ratios that show the relationship between the number of sit-ups and the number of push-ups Ryan does.​

Answers

Answer:

15/10, 30/20, 60/40, 120/80, 240/160, 480/320

Step-by-step explanation:

The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.

The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.

paper costs $1.50, which inequality is used to find how many rolls of paper could be purchased with less than $12?

Answers

Answer:

1.50x < 12 (the inequality would just be "less than")

Step-by-step explanation:

What are the more appropriate measures of center and spread for this data
set?

Answers

Except Option - A all satisfy the more appropriate measures of center and spread for the data that is median and IQR.

Given that,

We have to find what are the more appropriate measures of center and spread for data.

We know that,

Mean, median, and mode are the three central tendencies, and median is the more accurate indicator.

This is because

i) Extreme values affect the mean.

ii) If there are more outliers, the mean is in error.

iii) Means that are biassed to the right or left may not accurately reflect the nature of the data.

However, median is preferable to mean because it represents the center entry and is unaffected by extreme items or outliers.

Since extreme items will show higher standard deviation and some outliers may be misleading, IQR is a superior spread measurement tool. However, IQR provides an excellent idea.

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Graph 5/3 on the number line.

Answers

Answer:

5/3 is the same thing as 1 and 2/3 so just put it on the second line after the number 1 and trust me I’m so sorry if I am wrong

Step-by-step explanation:

1 and 2/3 on a number line, since positive on the right side

The standard form of an absolute value function is f(x)= a lx- h| + k. Which of the following represents the vertex ?
0 (-k,n)
o (-h,k)
O (k,n)
O (h,k)

Answers

Answer:

D. (h,k)

Step-by-step explanation:

got it right on edge

a line has a slope of 7/10 and a y intercept of (0,-4) what is the equation of the line in standard form

Answers

Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4

What is Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.

Equation in this case

In this case, you know:

A line has a slope of 7/10.A line has a y-intercept of (0,-4).

So, the line can be expressed as:

y=7/10x -4

Expresed in standard form:

y - 7/10x= -4

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please help NO LINKS

Answers

Answer:

(5,-6)

Step-by-step explanation:

This is where the two lines meet. I hope this helps ◕ ◡ ◕

< 8. If m M = (8x - 56) and mNP = (5x + 22), find mLP. M39 degrees​

Answers

Answer:

I think 42 is the answer...

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20

Answers

Answer: B

Step-by-step explanation:

gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount.

Answers

Answer:

59.5765%

Step-by-step explanation:

$35.74/$59.99

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