The expression for the number of cups of flour Cindy has left in the cupboard is y = 5 - c.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Let c be the number of cups of flour Cindy needs in her cupboard.
Let y be the number of cups of flour Cindy has left after making the brownies.
Now, the total number of cups in the cupboard is 5.
So, the expression for the total number of cups will be:
c + y = 5
Subtracting c from each side of the equation.
c + y - c = 5 - c
y = 5 - c
Therefore, the expression for the number of cups left is y = 5- c.
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Farmer Bob is going out to feed the cattle. He feeds seven pounds of cowchow to each cow. He uses at least 84 pounds of cowchow every time he feeds. Write an inequality and solve to find how many cows farmer Bob has
Each cow receives seven pounds of cow chow from Bob. Every time he feeds, farmer Bob uses at least 84 pounds of cow chow, which means that each time he feeds, 12 cows in total.
What is the concept of Unitary Method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Cow chow fed to each cow by the farmer =7 pounds
Total cow chow used by the farmer to feed the cows every time = 84 pounds
Total cow chow used = no. of cows *cow chow fed to each cow
No. of cows = Total cow chow / cow chow fed to each cow
= 84/7
=12
No. of cows = 12
Therefore, 84 pounds of cow chow is used to feed 12 cows each time.
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WILL GIVE POINTS! I just need someone to help with the rest
I think the first blank is "Given", the third is "Angle addition postulate", And the 6th is "90 degrees". Check this?
∠FED and ∠DEW are complementary because it is a sum of 90 degrees.
By the law of addition of complementary angles, m∠FED + m∠DEW = 90°
m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.
By the substitution property of equality, m∠FEW = 90°.
The ∠FEW is a right angle by the definition of right angles.
How to Interpret Complementary Angles?Complementary Angles defined as angles that sum up to 90 degrees.
Now, we are given that;
∠FED and ∠DEW are complementary.
We want to prove that ∠FEW is a right angle. Thus;
∠FED and ∠DEW are complementary because it is a sum of 90 degrees.
By the law of addition of complementary angles, we can say that;
m∠FED + m∠DEW = 90°
Also,
m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.
By the substitution property of equality, m∠FEW = 90°.
The ∠FEW is a right angle by the definition of right angles.
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The circumference of a circle of diameter 3,5 cm is 11 cm. What is the circumference of a circle of diameter 42 cm?
Answer ... cm
The circumference of a circle with diameter of 42 cm is 131.88 cm
How to find the circumference of a circle?The circumference of a circle of diameter 3.5 cm is 11 cm.
The circumference of a circle of diameter 42 cm can be found as follows:
Therefore,
circumference of a circle = 2πr
where
r = radius of the circleHence,
diameter = 42 cm
radius = 42 / 2
radius = 21 cm
circumference of a circle = 2 × 3.14 × 21
circumference of a circle = 42 × 3.14
circumference of a circle = 131.88 cm
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Whats the answer to 1 1/2 X 3 2/3
Answer:
5 1/2 or 5.5
Step-by-step explanation:
First, we can convert these values to improper fractions, where the numerator is larger than the denominator.
Then, we'd get:
3/2 x 11/3
Now, we can multiply the numerators and denominators, and we would get the answer of 33/6
When we convert 33/6 to a mixed number, we get 5 3/6, which can then be further simplified to 5 1/2 OR 5.5 (whichever you prefer)
Answer:
5 1/2
Step-by-step explanation:
1 1/2×3 2/3
[tex](2 \times 1 + 1) \times (3 \times 3 + 2) \\ [/tex]
3/2×11/3
33/6
=5 1/2
witch is greater 38 7/12 or 463/12
Answer:
they're the same !
Step-by-step explanation:
38*12= 456
456+7=463
hope this helps!!!
Matthew, Enos and Simon share 16 slices of pizza in the ratio 5: 1:2. How many slices of pizza does Simon have?
Simon had 4 slices of the total pizza.
What is fraction?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
There are several fraction examples in daily life, including:
1. If a pizza is split into two equal pieces, each piece represents half of the entire pizza.
2. Each piece of a watermelon slice that is divided into three equal pieces makes up one-third of the whole.
In this question , the ratios given are 5 : 1 : 2
Thus the total is 5 + 1 + 2 = 8
Since Simon's share is 2/8 th of the total
Thus the required fraction is 2 / 8 × 16
On solving further we get;
2 × 2
= 4 slices
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Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities y>-2x-4 and y
Answer:
We want to imagine where the shading should be, and with that determine which point is a solution for both inequalities. We will see that the solution is the point (7, -8)
Step-by-step explanation:
Interpreting inequalities:
In this case, the inqualities are:
y < -x + 1
y < (-1/2)*x - 1
You can see that in both cases, y is smaller than the line, thus, for both inequalities, we must shade the part that is below the lines.
With that in mind, the region of solution will be the region that is below both lines at the same time, and that region will be the "triangle" that you can see at the middle below the horizontal axis.
Now that we know the region of solutions, we only need to see which point belongs there, from the given options the only that belongs to that region is the point (7, -8), which means that this point is a solution for both inequalities.
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-2+(-6) is units from -2, in the
direction.
-2+(-6) is -3 unit(s) from -2. in the negative direction.
Answer:
-8
Step-by-step explanation:
6 + 2 = 8,just make 8 negative
Jessie estimates the weight of her cat to be 8 pounds. The actual weight of the cat was 10 pounds. Find the percent error.
Explain why 3.14 is rational, but is not.
π
The number 3.14 is a rational number because it can be written as [tex]\frac{314}{100}[/tex].
What is rational number?p/q of two integers with q 0 can be used to represent a number as a rational number in mathematics. The set of rational numbers also contains all of the integers, which can each be expressed as a quotient with the integer as the numerator and 1 as the denominator. A rational number is one that can be written as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.
Given that,
3.14 is rational number
Here, 3.14 can be written as [tex]\frac{314}{100}[/tex].
3.14 can be written as fraction, whereas pie cannot be written in fraction form.
Therefore, 3.14 is a rational numbers but pie is not a rational number.
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Find x if:
B is between A and C
AB=x+5
BC= 2(x-3); and
AB BC
Answer:
If B is between A and C, then AB = BC.
x + 5 = 2(x - 3)
x + 5 = 2x - 6
x = 11
10. How many feet from the base of a house must a 39-foot ladder be placed so that the top of the ladder will
reach a point on the house 36 feet from the ground? Draw a picture!
The distance from the base of the ladder to the house is 15 ft.
How to find the side of a right triangle?The length of the ladder is 39 ft.
The ladder is placed to reach a point on the house 36 feet from the ground.
This situation forms a right angle triangle.
The distance from the base of the ladder to the house is as follows:
The distance from the base of the ladder to the house is the other leg of the right angle triangle.
The ladder length is the hypotenuse of the right triangle.
Hence, using Pythagoras theorem,
39² - 36² = b²
b² = 1521 - 1296
b² = 225
b = √225
b = 15 ft
Therefore, the distance is 15 ft.
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R.3 Write a ratio: word problems SBQ
There are 38 empty parking spots and 12 full parking spots in the parking garage. What is
the ratio of the number of empty parking spots to the number of full parking spots?
Answer:
[tex]19:6[/tex]
Step-by-step explanation:
What is a ratio in math?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
So as per the question we have :-
38 empty parking spots
12 full parking spots
the ratio of the number of empty parking spots to the number of full parking spots can be expressed as :
[tex]= 38:12[/tex]
And by simplifying it to the shortest value possible we get it as
[tex]19:6[/tex]
Hope this helped you out and if so please help me out by marking me as the brainliest answer,
a fellow student,
Cheers
Clare wants to make an open-top box by cutting out corners of a 30 inch by 25 inch piece of poster board and then folding up the sides. The volume `V\left(x\right)` in cubic inches of the open-top box is a function of the side length `x` in inches of the square cutouts.
c) Use the Distributive Property or an Area Diagram to find the product and rewrite your polynomial.
Your original V(x)=4x^{3}-110x^{2}+750x
Your new polynomial:
V(x)=
Clare plans to fold up the sides of a poster board that is 30 inches by 25 inches of box. The volume V(x)=4x³-110x²+750x.
Given that,
Clare plans to fold up the sides of a poster board that is 30 inches by 25 inches and trim the corners to create an open-top box. The open-top box's volume, "V(x)," in cubic inches, depends on the square cuts' side length, "x," in inches.
Length =30 inch
Width=25 inch
The box's size changes when x is taken out of the container.
Length=30-2x
Width=25-2x
Height=x
Because x is eliminated from both ends, we subtract 2x.
The volume is then determined as follows:
V(x)=length×width×height
V(x)=(30-2x)×(25-2x)×x
V(x)=(30-2x)×(25x-2x²)
V(x)=750x-110x²+4x³
V(x)=4x³-110x²+750x
Therefore, the volume V(x)=4x³-110x²+750x.
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It took a plane 2 hours to fly from Dallas to New York with the headwind and 1.5 hours to return with the tailwind. If the speed of the wind was 30 mph, how far apart are the two cities?
Please help
The distance between in two cities is 360 miles.
Given,
It took a plane 2 hours to fly from Dallas to New York
The headwind and 1.5 hours to return with the tailwind.
and, the speed of the wind was 30 mph.
To find the how far apart are the two cities?
Now, According to the question:
Let speed of be x
Speed of wind be c
Also note D = RT, where
D is distance and R is rate and T is time
For First Leg:
we can write:
(x - c) × 2 = D
2x - 2c = D
For Second Leg:
we can write:
(x+ c) × 1.5 = D
1.5x + 1.5c = D
We can equate and write:
2x - 2c = 1.5x + 1.5c
0.5x = 3.5c
We know Speed of Wind, c, is 30, so we have:
0.5x = 3.5(30)
0.5x = 105
x = 105/0.5 = 210 [speed of airplane]
We know distance is
D = 2x - 2c
D = 2(210) - 2(30)
D = 420 - 60
D = 360 miles
Hence, The distance between in two cities is 360 miles.
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banks normally charge a monthly service fee to customers for servicing their bank account. This fee can often be avoided, which of the following are common reasons for the bank to waive their monthly fee.
Select one or more:
a.
If you open two checking accounts with the same bank they won't charge a monthly fee
b.
If a student links their account to a parent's account the bank will waive the monthly fee
c.
If you go overdrawn the bank will waive the monthly service fee and charge you an overdraft fee instead.
d.
If you ask your employer to direct deposit your salary into your bank account the bank will waive the monthly fee
e.
If you keep a minimum required balance in the account the bank will waive the monthly fee
f.
If you ask the bank to waive their monthly service fee they will agree to
The common reasons for the bank to waive their monthly fee are :
a. If you open two checking accounts with the same bank they won't charge a monthly fee.
d. If you ask your employer to direct deposit your salary into your bank account the bank will waive the monthly fee
e. If you keep a minimum required balance in the account the bank will waive the monthly fee
What is monthly fee?Monthly fee can be defined as the fee a bank or financial institution charge their customers for services they rendered to their customers example of this monthly fees is account maintenance fees.
A bank can decide to waived a customer monthly fees or charges when the customer open two checking account with the bank or when a customer make use of a direct deposit as well as when a customer maintain a enough balance or maintain minimum balance in their bank account.
Therefore the correct options are A, D, C.
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Which of the following best defines an output? (4 points)
Question 1 options:
1)
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
2)
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
3)
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
4)
An output is a set of ordered pairs in which no y-value repeats.
Answer:
i go with the first one cause
Step-by-step explanation:
its the only true one
Which numbers are greater than 59 1/3
592/10
59 4/12
59 2/3
179/3
The numbers that are greater than 59 1/3 are; C: 59 2/3 and D: 179/3
How to interpret Inequalities?We want to find the numbers that are greater than 59 ¹/₃.
Now, the given fraction is written in mixed fraction. Looking at the fraction side, we can see that 1/3 can be written as 0.333. Thus;
59 ¹/₃ = 59.333
When we talk about the inequality greater than, we are simply referring to sayin that a figure is more than another figure which could be given or not given.
Looking at the given options, let us rewrite each of the mixed or improper fractions in decimal form to get;
59 ²/₁₀ converted to decimal form gives 59.2
59 ⁴/₁₂ = 59 ¹/₃ converted to decimal form gives 59.333
59 ²/₃ converted to decimal form gives 59.667
179/3 = 59 ²/₃ converted to decimal form gives 59.667
Comparing the options to the given number in the question, we can conclude that 59 2/3 and 179/3 are greater than 59 1/3
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A clothing store is tracking how much money adults are spending on clothes each month from their only store. Which description represents a population?
adults who buy any clothes
adults who buy their children’s clothes
adults who are not married
adults who are in college
A clothing store is tracking, adults who are spending on clothes each month from their only store then the adults who buy any clothes consider as population of the store.
Adults who buy any clothes represents a population, who are spending money on clothes each month from their only store.As others adults who buy their children’s clothes does not include them selves, while buying clothes.Adults who are not married will buy clothes buy them selves.So, we cannot consider as population of the store.
Adults who are in college will not buy adults clothes, a teenagers.So, they are not consider as population of the store.
Therefore,
Adults who buy any clothes consider as population of the store.
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Please show your work.
What is this solution?
8+(-7)^2-(7∙-2+1)
What is $609,786 rounded to the nearest 1,000 dollars?
Answer:
$610.000
Step-by-step explanation:
The thousands digit is and the hundreds is 7 so we round up the 9.
Answer is $610.000
Solve for x, ty/ wlc!
[tex]\sf 3+6x=2x+27[/tex]
3 + 6x = 2x + 27
Move the 2x on the left side with changed sign and the 3 on the right side with changed sign aswell.
6x - 2x = 27 - 3
4x = 24
Now devide 24 by 4.
x = 24 : 6 = 4
Answer:
[tex]\bf x=6[/tex]Step-by-step explanation:
[tex]\bf 3 + 6x = 2x + 27[/tex]
Subtract 3 from both sides:-
[tex]\bf 3+6x-3=2x+27-3[/tex]
Simplify:-
[tex]\bf 6x=2x+24[/tex]
Subtract 2x from both sides:-
[tex]\bf 6x-2x=2x+24-2x[/tex]
Simplify:-
[tex]\bf 4x=24[/tex]
Divide both sides by 4:-
[tex]\bf \cfrac{4x}{4}=\cfrac{24}{4}[/tex]
Simplify:-
[tex]\bf x=6[/tex]
_____________________
X and Y varies inversely. X equals 10 when Y equals 20. What does X equal when Y is 40?
A. 10
B. 8
C. 20
D. 5
E. 15
I will give you 50 points. NO LINKS
john measured two pieces of strings. one piece measured 7/12 m and the other measured 4/7 m. sect the true statement about the lenghts of john strings.
John measured two pieces of string. One piece measured \dfrac7{12}\text{ m}127 mstart fraction, 7, divided by, 12, end fraction, start text, space, m, end text and the other measured \dfrac47\text{ m}74 mstart fraction, 4, divided by, 7, end fraction, start text, space, m, end text.
how many horseshoes are needed to fit 5 horses
Answer:
20 horseshoes
Step-by-step explanation:
How many horseshoes are needed to fit 5 horses?
5 horses with 4 hooves each:
5 × 4 = 20 horseshoes
Kurt bowled 4 strikes in his 10 frames. Write his occurrence of strikes as a
fraction, then as a percent.
Answer:
4/10 and 40%
Step-by-step explanation:
He had 4 Strikes out of a total 10 Tries. 4 of his 10 tries were strikes.
So its 4/10.
-9/2 + 5/12
Due soon
Answer:
-49/12
Step-by-step explanation:
20. A work crew is building a new biking path that will be 28 miles long. Each day,
the crew builds 0.5 mile of the path. Write an expression for the length of the bike
path left to build at any point during the construction. Explain what your variable
represents.
PLEASE HELP
The most appropriate choice for linear equation will be given by-
[tex]l = 28 - 0.5d[/tex] is the required expression for the length of the bike
path left to build at any point during the construction.
[tex]l[/tex] is the length of the bike path left to build at any point during the construction
[tex]d[/tex] is the number of days
What is Linear equation?
A one degree equation is called a linear equation.
Here,
Let the length of the bike path left to build at any point during the construction be [tex]l[/tex] and the number of days be [tex]d[/tex]
In one day, the crew build 0.5 miles of the path
In d days, the crew can build [tex]0.5 \times d[/tex] miles of the path
Length of path left to construct after [tex]d[/tex] days = [tex]28-0.5d[/tex]
By the problem,
[tex]l = 28 - 0.5d[/tex]
This is the required expression for the length of the bike
path left to build at any point during the construction.
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(-4.8) (-0.6) please explain the answer
Answer : These are points on a coordinate plane
What is the distance between the following points?
Choose 1 answer.
7
9
√65
√80
The distance between points (-6 , 4 ) and (-5 , -4 ) marked in the graph
is [tex]\sqrt{65}[/tex]
solution:From the given graph the two points are:
A = ( -6 , 4 ) , B = (-5 , -4 )
we have the distance from A to B ,
to find distance the formula is,
Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
= [tex]\sqrt{(-5 - (-6))^{2} + (-4 -4)^{2} }[/tex]
= [tex]\sqrt{1^{2} + (- 8)^{2} }[/tex]
= [tex]\sqrt{1 + 64}[/tex]
= [tex]\sqrt{65}[/tex]
so the distance between points (- 6 , 4 ) and ( -5 , -4 ) is [tex]\sqrt{65}[/tex]
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