As the first step, you have to distribute
2x - 12 + 4x + 16 = 40 Now combine the like items
6x + 4 = 40
6x = 36
x = 6
One number is two times greater than another number. if the greater number is x what is the other number?
Answer:
[tex]\frac{1}{2}x[/tex]
Step-by-step explanation:
If the greater number is x and it is two times greater than the other number then the other number is half as big. This is true because 2*[tex]\frac{1}{2}[/tex]x = x
The other number is equal to x/2.
What is a Fraction?A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator.
As per the given data:
We are given the relationship between 2 numbers, It's given that One number is two times greater than another number.
The greater number = x
Let's assume that the smaller number is y.
From the given data in the question:
One number is two times greater than another number
= x = 2y ...(i)
The other number that is the smaller number is given by:
By dividing eq (i) by 2 from both sides.
y = x/2
The other number is equal to x/2
Hence, The other number is equal to x/2
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Can someone help me?
Answer:
Min = 2
Q1 = 4
Median = 11
Q3 = 16
Max = 18
Step-by-step explanation:
2, 4, 4, 7, 10, 11, 12, 13, 16, 17, 18
Q1 Q2 Q3
Min (minimum value) = 2
Q1 = 4
Median (middle value Q2) = 11
Q3 = 16
Max (maximum value) = 18
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
SpeedLet x be the speed of the current in km/h units
Speed of the boat traveling against the current= (15-x) km/h
Time spent traveling 36 miles against the current=36/15-x hours
Time spent rafting36miles (with the current) =35/x hours
Equation=36/x-36/15-x=9
Multiply both sides by x×(15-x)
36×(15-x) - 36x = 9x×(15-x)
540 - 36x - 36x=135x-9x²
9x²-207x+540=0
x²-23x+60=0
(x-3)×(x-30) = 0
Roots are x= 3 and x= 30
Since 15-x must be positive, the only root x = 3 survives
Hence:
Speed =3 km/h
Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
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Sharlotta's favorite candy is pixie sticks. A packet of 6 pixie sticks cost $ .42. How many packets of pixie sticks can Sharlotta buy for $13.02
the answer is 29.02
first I had to find out if it was cents or dollars I just thought of cents
so I did 42 cent minus 13.02 and that equals to 29.02
What is the answer to this equation
3 1/2 - 27/8
Answer:
1/8
Change 27/8 into a mixed number 3 3/8
Answer: 1/8
Step-by-step explanation: I explain in the photo ! have a good day
Ashley ate Mexican food 4 out of 7 days on her vacation. If her vacation was 35 days, how many days did she eat Mexican food?
31
21
20
28
The number of days Ashley ate Mexican food while on vacation is 20 days.
How many days did Ashley eat mexican food?
The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7
4/7.
The second step is to multiply 4/7 by 35
4/7 x 35= 20 days
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what iis the square root of 158
Answer:
The answer is 12.56, which can be rounded to 12.7 or 13. :)
Sammy’s dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours?
Answer:
distance in 3 hours = 150 miles
distance in 1 hour = 150/3 = 50 miles
distance in 9 hours = 50 × 9 = 450 miles
Answer:
Sammy's dad traveled 450 miles in 9 hours.
Step-by-step explanation:
mph = [tex]\frac{Miles}{Hours}[/tex]
Miles = 150
Hours = 3
Plug into the formula of distance/time
[tex]\frac{150}{3} = 50mph[/tex]
Sammy's dad is driving at 50mph
In three hours you can use this formula: [tex]50mph=\frac{miles}{9}[/tex]
Multiply both sides by 9: [tex]50mph * 9 =\frac{miles}{9} *9[/tex]
Solve:
[tex]50mph * 9 =miles[/tex]
[tex]450 =miles[/tex]
Sammy's dad traveled 450 miles in 9 hours.
Hope this helped! :)
The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5
Answer:
The graph of g is translated down 5 units from the graph of f and stretched horizontally
Step-by-step explanation:
was correct on test :)
pls brainliest XD
.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.
help pls asap
answer:
explain:
rate of change:
[tex]\sf \bold{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
coordinates taken: (0, 0), (2, 1)
[tex]\rightarrow \dfrac{1-0}{2-0}[/tex]
[tex]\rightarrow \dfrac{1}{2}[/tex]
Take 2 points
(-2,-1)(2,1)[tex]\\ \rm\rightarrowtail m=\dfrac{1+1}{2+2}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{2}{4}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{1}{2}[/tex]
Find the area. :)
please and thx
Answer:
132 cm²
Step-by-step explanation:
To find the area of the figure, start by dividing the figure into smaller rectangles.
Area of figure
= area of shaded rectangle +area of unshaded rectangle
[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}[/tex]
Shaded rectangle
Length= 4 cm
Breadth= 6 cm
Area
= 4(6)
= 24 cm²
Unshaded rectangle
Length= 9 cm
Breadth= 12 cm
Area
= 9(12)
= 108 cm²
After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.
Area of figure
= 108 +24
= 132 cm²
Copare use <,>, or =
Answer:
0.125 = ⅛
Step-by-step explanation:
Both are equal.......
What is the approximate length of the apothem? 0. 4 cm 0. 8 cm 1. 5 cm 1. 9 cm.
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
What is apothem?
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.
Using Pythagoras:
18² = a² + 9²
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
Find out more on apothem at: https://brainly.com/question/369332
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
Answer:
Option A
Step-by-step explanation:
Given:
Angle=45°Base= 9hypotenuse = x[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]
[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]
[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]
Carmen went for a drive in her new car. She drove 437.5 miles in 7 hours. What was her speed?
Please help!!!!
Answer:
62.5 miles per hour
Step-by-step explanation:
Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.
Hopefully this helps- let me know if you have any questions!
HELP PLEASE!!!!
Mr. Smith earns $75 a day plus $35 for each car he sells. Ife is the amount he earned and is the number of cars he sold, which expression below shows how much Mr. Smith will earn in a day?
Ooor 76
O35675
On 350
Answer:
should be 110
Step-by-step explanation:
hope that helps!
4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP
Answer:
d. 10a + 5bStep-by-step explanation:
5(a + a + b) = 5(2a + b)
use the distributive property:
a(b + c) = ab + ac
= 5 · 2a + 5 · b =10a + 5b
Answer:
[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
⇒ 5(a+a+b)⇒ a+a=2a
Rewrite the problem down.
[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]
Multiply should be expanded.
⇒ 5*2a=10a
⇒ 5*b=5b
Rewrite the problem.
⇒ = 10a+5b
Therefore, the final answer is 10a+5b.I hope this helps you! Let me know if my answer is wrong or not.
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
Answer: No Solution
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.
However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.
7 can never equal 4/5, so there is no solution :)
hey, could you help me real quick?
solution:
[tex]\frac{299}{6}=49\frac{5}{6}[/tex]
decimal result:
[tex]49.833[/tex]
1. Simplify the expression
[tex]26/3*23/4[/tex]
Multiply the fractions:
[tex]\frac{\left(26\cdot23\right)}{\left(3\cdot4\right)}[/tex]
Cancel terms:
[tex]\frac{\left(13\cdot23\right)}{\left(3\cdot2\right)}[/tex]
Simplify the arithmetic:
[tex]\frac{299}{\left(3\cdot2\right)}[/tex]
Simplify the arithmetic:
[tex]\frac{299}{6}[/tex]
Simplify the fraction:
[tex]\frac{299}{6} =49\frac{5}{6}[/tex]
[tex]==========================================[/tex]
First, let's convert the mixed numbers into improper fractions:-
[tex]\bf{8\displaystyle\frac{2}{3}[/tex]
Step 1:-Multiply the whole number (8) times the denominator (3). The product is 24.Add the numerator (2). The sum is 26.The denominator stays the same.Thus, the fraction is[tex]\displaystyle\frac{26}{3}[/tex]
Now, do the same for the second fraction:-
Multiply 5 times 4. The product is 20Add 3. The sum is 23.The denominator stays the same.Thus, the fraction is[tex]\displaystyle\frac{23}{4}[/tex]
Now, the formula for the area is
[tex]\bold{A=bh}[/tex]
We know both b and h, so we can just plug in the values and solve:
[tex]\bold{A=\displaystyle\frac{26}{3} *\frac{23}{4} }}[/tex]
Actually, we can reduce some fractions here (we can divide 26 and 4 by 2)
[tex]\bold{\displaystyle\frac{13}{3} *\frac{23}{2}}[/tex]
Multiplying 13 times 23 is easier than multiplying 26 times 13.
Now, this can only be done if the numbers do have some common factors. Both fractions are now in simplest form; 13, 23, 3 & 2 don't have common factors.
Multiply:
[tex]\bold{\displaystyle\frac{13*23}{3*2}}}[/tex]
The answer is
[tex]\bold{\displaystyle\frac{299}{6}}[/tex]
Convert to a Mixed Number:-
[tex]\bold{49\displaystyle\frac{5}{6}}[/tex]
[tex]==================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~Is~Power!}[/tex]Good luck & enjoy your day!Answered by:-Nickname:- [tex]\mathbb{DiAmOnD}[/tex]
[tex]\boxed{An~emotional~helper}[/tex]
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
Help find tqs I’ll give brainlist
Answer:
91 degrees
Step-by-step explanation:
Angle RT = 46 degrees
Angle RU = 180 degrees
Angle RS = 89 degrees
So 46 + 89 = 135
180 - 135 = 45
So Angle UT = 45 degrees
Which means that Angle QR = 45 degrees also because they are vertical from each other
So you add 45 + 46 = 91
Angle TQS = 91 degrees
which equation is equivalent to the expression (-2x to the power of two) (3x to the power of 5)?
A. 6x to the power of 7
B. -6x to the power of 10
C. 6x to the power of 10
D. -6x to the power of 7
Answer: pretty sure the answer is D
Step-by-step explanation:
solve the system of equations 2y - 3x = -27 5y + 3x = 6 PLEASE EXPLAIN STEPS!
(photo included)
Answer:
x=7 y= -3
Step-by-step explanation:
When you ADD both the x variable is cancelled
since -3x + 3x = zero
then you solve for y And when you plug the value of y you will solve x
2y-3x =-27
5y+3x =6
ADD BOTH
7y = -21
y = -3
PLUG y
5(-3)+3x = 6
-15 + 3x = 6
3x = 21
x=7
5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13
Answer:
The answer would be A) 4
if the circumference of a circle is 4πrcm, find diameter
Answer:
1.274cm
Step-by-step explanation:
Solve
-6=|3x|
A. X =2;x=-2
B. X=12;x=-12
C. X= 1/2; x = -1/2
D. No solution
Answer:
D. [tex]\displaystyle No\:Solution[/tex]
Explanation:
The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:
[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]
The negative absolute value of an integer however, IS negative.
I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help <3 if you can’t see, the diameter is 76
Answer:
[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]
I am joyous to assist you at any time.
Bob’s rectangular TV is 40 inches wide and 30 inches high. What is the length of the diagonal of Bob’s TV?
a.35 in.
b.45 in.
c.50 in.
d.70 in.
The length of the diagonal of Bob’s TV will be 50 in.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Bob’s rectangular TV is 40 inches wide and 30 inches high.
Now,
Since, TV is in rectangular shape.
Hence, It satisfy the Pythagoras theorem.
Let the length of the diagonal of Bob’s TV = x
So, We can formulate;
⇒ x² = 40² + 30²
⇒ x² = 1600 + 900
⇒ x² = 2,500
⇒ x = √ 2,500
⇒ x = 50 in
Thus, The length of the diagonal of Bob’s TV = 50 in.
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the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter.
Answer:
13.5 in, or 34.3 cm.
Step-by-step explanation:
First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.
Hopefully this helps- let me know if you have any questions!
find the approximate radius of a circle with circumference of 198 centimeters
Answer:
C=2πr
r=C/2π
198/2π
≈31.51268cm