Answer:
b. The total sum of the money was $330
Step-by-step explanation:
#b
∵ A sum of money is divided among John, Paul, and Robert
∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5
→ Multiply the ratio of each share by x
∴ The share of John = 2x
∴ The share of Paul = 4x
∴ The share of Robert = 5x
→ Find their sum
∴ The sum of the money = 2x + 4x + 5x = 11x
∵ The sum of the money is divided equally among them
→ That means dividing the sum by 3 to find the share of every one
∵ The sum of the money = 11x
∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x
∴ The share of John is larger by $50
→ That means the difference between his shares is 50
∵ [tex]\frac{11}{3}[/tex]x - 2x = 50
∴ [tex]\frac{5}{3}[/tex]x = 50
→ Divide both sides by [tex]\frac{5}{3}[/tex]
∴ x = 30
→ Substitute it in the sum of the money to find it
∵ The sum of the money = 11(30)
∴ The sum of the money = $330
∴ The total sum of the money is $330
What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
2x+7=19 solving two-step equations
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify
Answer:
6
Step-by-step explanation:
First what you do is you subtract 7 from both sides to get 2x by itself.
2x + 7 - 7 = 19 - 7
2x = 12
Then you divide 2 from both sides to get x by itself.
2x/2 = 12/2
x = 6
Your answer is then x = 6.
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees
Answer:
252°
Step-by-step explanation:
Given
Shape: Decagon
Required
Determine the value of n
A Decagon has 10 sides and a complete rotation takes 360°
First, we need to calculate the angle of each rotation as follows.
Each Rotation = ⅒ * 360°
Each Rotation = 360°
Next, we determine the possible values of n.
The statement is represented as "possible values of n" because n can assume infinite number of values.
However, n must be a multiple of 36
From the list of given options.
10, 150 and 225 are not multiples of 36
Only 252 happens to be a multiple of 36 from the list of given options.
Hence, option D answers the question [base on the given options]
A decagon is a ten-sided polygon.
The value of n could be 252 degree.
Since, A Decagon has 10 sides
The angle made in one complete rotation is 360 degree.
Now find angle made in each rotation is,
[tex]=\frac{360}{10}=36degree[/tex]
Now, we have to find possible values of n.
Since, n must be a multiple of 36
Apply hit and trial from given option.
We observe that from given options, only 252 degree is multiple of 36.
Therefore, value of n could be 252 degree.
Hence, option 4 is correct.
Learn more:
https://brainly.com/question/9549251
12x² + 8x = 0
What are the zeroes?
Answer:
The zeros are at 0 and -2/3
Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases
Answer:
pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
where is plymoth rock
Answer:
If u mean plymouth rock then the answer is
Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.
Step-by-step explanation:
ab (3a-5b) equals to?
Answer:
3a^2b-5ab^2
Step-by-step explanation:
Answer:
3a²b-5ab²
Step-by-step explanation:
Distribution method:
ab (3a-5b) = 3a²b-5ab²
Based on what you see here, what is the domain of this function?*
Your answer
This is a required question
Answer:
Domain seems to be all real numbers.
Step-by-step explanation:
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are
The possible values of x are positive integers that are less than 14
The perimeter of a figure is the sum of all its sides.
A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,
perimeter = 7 + 7 + x
perimeter < 28 feet
Therefore,
7 + 7 + x < 28
14 + x < 28
subtract 14 from both sides
14 - 14 + x < 28 - 14
x < 14
Therefore, the possible value of x are positive integers that are less than 14.
read more: https://brainly.com/question/11473110?referrer=searchResults
What will the first step look like in a substitution problem?
y=2x
x+y=9
Answer:
x + 2x = 9
General Formulas and Concepts:
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.
We are given:
y = 2x
x + y = 9
Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.
x + 2x = 9
And we would solve from there.
VERY URGENT WILL GIVE YOU 100 POINTS
Answer:
11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13Answer:
1. 11x
2.5x + 7
3. 5x +8
4. 8x + 9y
5. X + 8y +12
6. 12x + 3y
7. 10a + 7b + 4
8. 19a + 11
9. a + 16b + 10
10. 13a + 9b * 11
11. 12a + 2b + 24
12. 4a + 3b + 1
13. 8x + 6
14. 4x + 27
15. 11x + 20
16. 11x + 8y
17. 5x + 3y + 18
18. 7x + 15y + 30
19. 7x + 7y
20. 5x + 10y + 33
21. 2x + 7y + 37
22. 9x + 7y + 9
23. 6x + 8
24. 8x + 13
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]
__________________21-
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]
_________________22-
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]
_________________23-
[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
Identify the hypotenuse.
A. MN
B. LN
Answer:
The hypotenuse is line segment MN.
Step-by-step explanation:
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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.
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#teamtrees #WAP (Water And Plant)
An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr
True
False
Answer:
Step-by-step explanation:
152.2 miles /2.5 hours= 60.88 mph so false.
check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.
hcf and lcm of 120 and 180, shown your work
The HCM and LCM of 120 and 180 are 360.
What is HCF and LCM?The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Given are two numbers as -
120 and 180
We can write 120 and 180 as -
120 = 2 x 2 x 2 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60
Now, we can find LCM using the formula -
LCM(a, b) = (a x b)/HCF(a, b)
LCM(a, b) = (120 x 180)/60
LCM(a, b) = 2 x 180 = 360
Therefore, the HCM and LCM of 120 and 180 are 360.
To solve more questions on HCF and LCM, visit the link below-
https://brainly.com/question/20739723
#SPJ2
A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?
Answer:
18 / 6 = 3
The scale is 1:3
3 * 4.5 = 13.5
13.5 * 18 = 243 square feet
The answer is 243 square feet.
Step-by-step explanation:
Hope this helped!
what is halfway between 5.3 and 5.4
Answer:
5.35
Step-by-step explanation:
5.31 5.32 5.33 5.34 5.35
i need help. it’s due tonight.thank you
Answer:28
Step-by-step explanation:
Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5