Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
a = 4 1/5 (also can be turned into 21/5)
b = 2 7/20 (also can be turned into 47/20)
c = 3 1/4 (also can be turned into 13/4)
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike
Answer:
$162.50
Step-by-step explanation:
Answer:
87.5
You need to take 30 percent from 125 and subtract it to get the wholesale price
Find the value of x.
Answer:
x = √21.
Step-by-step explanation:
Triangles ADB and BCD are similar.
So their corresponding sides are in the same ratio:
x / 7 = 3 / x
x^2 = 21
x = √21.
BRAINLIEST!!!! Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
An equation is formed of two equal expressions. There are a total of 16 tricycles.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.
The total number of vehicles is 40. Therefore, we can write the equation as,
x + y + 2= 40
x + y = 38
Solving the equation for x,
x = 38-y
Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,
2x + 3y + 2(4) = 100
2x+ 3y = 92
Substitute the value of x from the above equation,
2(38 - y) + 3y = 92
76 - 2y + 3y = 92
y = 16
Hence, there are a total of 16 tricycles.
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use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]
PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to
a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
The question is incomplete.
Complete Question
Correct 36.2598 to
a) to one decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
Answer:
a) to one decimal place = 36.3
b) To the nearest hundredth= 36.26
c) to nearest 0.001 = 36.260
d) to the nearest whole number = 36
Step-by-step explanation:
From the question, we are to round up 36.2598 to the following:
a) to one decimal place.
Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,
36.2598 to one decimal place = 36.3
b) To the nearest hundredth:
Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,
36.2598 to the nearest hundredth = 36.26.
c) to nearest 0.001
Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.
This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.
Therefore,
36.2598 to the nearest 0.001 = 36.260
d) to the nearest whole number
Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.
For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.
36.2598 to the nearest whole number = 36.
Help pls!!1!___________
Answer:
1.08*10^11
Step-by-step explanation:
how many more it means you need to subtract :
in year 1965 : 7.2*10^10
in 1995 :1.8*10^11
(1.8*10^11)-(7.2*10^10)
18*10^10-(7.2*10^10)=
10.8*10^10 or 1.08*10^11
Find the volume of a pyramid with a square base, where the side length of the base is
12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.
Answer:
Volume = 1114.1 [tex]in^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]
Finally,we can now write the volume of the pyramid as:
[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1 [tex]in^3[/tex]
Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x
Answer:
x+8
Step-by-step explanation:
This is because in this answer, there are two terms with an addition sign in between them.
Find the value of x. Give reasons to justify your solution. C ∈ AE
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)Answer:
11 degrees
Step-by-step explanation:
Ur welcome
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answer: 2 <= X <= 5
Step-by-step explanation:
Answer: 2 <= X <= 5
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.
And no less than 2 days per week. That is, greater than or equal to 2 days.
Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2
An inequality to represent the range of days an employee can work will be
2 <= X <= 5
Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it
help me please emergenceyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
the answer is 1
Step-by-step explanation:
you convert 1/2 to a decimal, 0.5, then subtract. 0.75 and 0.25 to get 0.5, and when you add those two it equals one.
Answer:
It would equal 1
Step-by-step explanation:
Convert 1/2 to 0.5 then it would be easier to solve.
0.75-0.25=0.5
0.5+0.5=1
Hope this helps!
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Data given in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.
As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Therefore the option D is correct.
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Can someone please help me solve this?
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
In a class of c children,2/5 are boys What fraction are girls?
Hello! :)
________ ☆ ☆______________________
Answer:
3/5
Step-by-step explanation:
Here is the work:
You only have to subtract and you will get your answer.
5/5-2/5=3/5
We know 1 whole equals to 5/5, and there is 2/5 boys
So there will be 3/5 girls
Hope this helps! :)
_________ ☆ ☆________________________
By, BrainlyMember ^-^
✨ Good luck! ✨
Answer: 3/5c
Step-by-step explanation:
2/5 is 40%. 100-40=60. Thus, 60% of c, or 3/5c are girls.
Hope it helps <3
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
Is 15/3=v/7 a true proporation?
Answer:
15/3 = v/7 can be a true proportion.
Step-by-step explanation:
v is a variable, which means that technically any number can be put inside.
In this case, however, when you are solving for v, the numerator must be proportional to the denominator.
In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:
15 x 2.33 = ~34.95
If the variable v is ~34.95, then it is a true proportion.
these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values of x
Answer:
Option A.
Step-by-step explanation:
We need to find a table for which the y-value will be the greatest for very large values of x.
From the given table it is clear that the largest value of x in all tables is 5.
In table A, y=64 at x=5.
In table B, y=32 at x=5.
In table C, y=40 at x=5.
In table D, y=13 at x=5.
It is clear that 64 is the greatest value among 64, 32, 40 and 13.
It means table in option A represents the function for which the y-value will be the greatest for very large values of x.
Therefore, the correct option is A.
Answer:
Option A
Step-by-step explanation:
Took the quiz
In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?
Answer:
10
Step-by-step explanation:
3/5 is 0.6 and 10 time 0.6 is 6.
hope this helps
If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8
Answer:
B. 2/3
Step-by-step explanation:
Help Please I'm Out Of Time ;(
Is it true that every whole number is a solution of x > 0?
Use complete sentences to explain your reasoning.
Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.
Step-by-step explanation:
No, Is it not true that every whole number is a solution of x > 0.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
To check, Is it true that every whole number is a solution of x > 0.
Now, We know that;
Every whole number is a solution of x ≥ 0.
That is, Zero is include in the whole numbers.
Therefore, Is it not true that every whole number is a solution of x > 0.
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In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student who has a brother also has a
sister?
Has a brother | Does not have a brother
Has a sister
6
2
Does not have a sister
8
13
Answer:
[tex]Probability = \frac{6}{29}[/tex]
Step-by-step explanation:
Given
------------------------------Has a brother | Does not have a brother
Has a sister --------------------------- 6 ----------------- 8
Does not have a sister -----------2 ------------------ 13
Required
Probability of having a sister and a brother
First, the total number of students has to be calculated;
Total = 6 + 2+ 8 + 13
Total = 29
Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6
At this point, the probability can then be calculated;
Probability = Number of students that have a sister and a brother divided by Total number of students
[tex]Probability = \frac{6}{29}[/tex]
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
When q = 15, r = 4
Find q when r = 7
Answer:
q = 18 ?
Step-by-step explanation:
This is not a complete question but ill give it a shot!
If we are following a pattern then we see q is 11 more than r.
So we do 11 + r (7) to get 18!
mark as brainliest
Please help i will mark brainliest!
Answer:
A. and C. are true i think :/
Step-by-step explanation:
im not 100% sure though but again, good lucks!
Can anyone help please! Thanks!
Find the solutions to x2 = 24.
O A. x = 164
O
B. X =
+4v6
O C. x = +62
O D. x = +276
Answer:
x = ± 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
x² = 24 ( take the square root of both sides )
x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]