The perimeter of a triangle is
17
x
−
5
units. One side is
3
x
+
5
units and another is
8
x
−
3
units. How many units long is the third side?
Answer:
[tex]Side\ 3 = 6x - 7[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 17x - 5[/tex]
[tex]Side\ 1 = 3x + 5[/tex]
[tex]Side\ 2 = 8x - 3[/tex]
Required
Determine the length of the third side
The perimeter of a triangle is calculated as thus:
[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]
Substitute values for Perimeter, Side 1 and Side 2
[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]
Collect Like Terms
[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]
[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]
Solve for Side 3
[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]
[tex]Side\ 3 = 6x - 7[/tex]
Hence, the length of the third side is 6x - 7 units
What is the equation of a line that passes through (-10,3) and is parallel to y =2x+9?
Answer:
-2/3.
Step-by-step explanation:
Answer:
y = 2x + 23Step-by-step explanation:
Given
Line y = 2x + 9Parallel line has same slope
y = 2x + bFinding b using the given point (-10, 3)
3 = 2(-10) + b3 = -20 + b3 + 20 = bb = 23So the line is:
y = 2x + 23You are skiing down a mountain with a vertical height of 1200 feet. The distance that you ski as you go from the top down to the base of the mountain is 2900 feet. Find the angle of elevation from the base to the top of the mountain.
Answer:
24.44°
Step-by-step explanation:
The set up will give a right angled triangle.
Given
The length of the hill (hypotenuse) = 2900feet
Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)
According to SOH;
sin theta = opp/hyp
Sin theta = 1200/2900
Sin theta = 12/29
Sin theta= 0.4138
theta= arcsin(0.4138)
theta = 24.44°
Hence the angle of elevation from the base to the top of the mountain is 24.44°
SOMEONE HELP IM BEING TIMED I WILL GIVE BRAINLIEST 6TH GRADE MATH
Answer:
its a
Step-by-step explanation:
Factor: x^2 - 5x - 24
• (X-5)(x-3)
• (x+8)(x-3)
•(x+3)(x-8)
• not factorable
A cube has a side length of 8 inches. Select all values that represent the cubes volume in cubic inches. A. 8^2 B. 8^3 C. 6 x 8^2 D. 6 x 8 E. 8 x 8 x 8
Answer: B. 8^3; E. 8 x 8 x 8
Step-by-step explanation:
From the question, we are informed that a cube has a side length of 8 inches.
To calculate the volume of a cube, we multiply the length given thrice. In this case, the length of the cube is 8 inches. Therefore, its volume will be:
= 8^3
= 8 × 8 × 8
= 512 inches cubed
Therefore, the correct options are:
B. 8^3
E. 8 x 8 x 8
Peter's paint company made the same number of gallons of paint on Monday, Tuesday, and Wednesday. On Thursday, they made twice as many as any of the previous days. If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday
Answer:
Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
Step-by-step explanation:
If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday
Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x
On Thursday, they made twice as many as any of the previous days.
= 2x
Hence:
x + x + x + 2x = 20 gallons
5x = 20 gallons
x = 20 gallons/5
x = 4 gallons
Note that:
Thursday = 2x
Hence, = 2 × 4 gallons = 8 gallons
Hence, Peter's company uses on:
Monday = 4 gallons
Tuesday = 4 gallons
Wednesday = 4 gallons
Thursday = 8 gallons
3,910 Divided 25? i need help
Answer:
156.4 would be your answer
Step-by-step explanation:
3,910/25
15.6
Four brothers received the same amount of money to go to the movies. Each boy spent $16. Afterward, the boys had $48 altogether. Write an equation that represents the amount of money m each brother received.
Answer:
Equation is: 4(x - 16) = 48
Amount each received = $28
Step-by-step explanation:
We are told that the foot brothers received the same amount of money to go to the movies.
Let's say they each receive "x" in amount.
Which means total amount is;
x + x + x + x
Now,we are told that each boy spent $16.
Thus,amount left after spending is;
(x - 16) + (x - 16) + (x - 16) + (x - 16) = 4(x - 16)
We are told this amount after spending was $48 altogether. Therefore;
4(x - 16) = 48
Divide both sides by 4 to get;
x - 16 = 48/4
x = 16 + 12
x = $28
Help me plsssszzzzzzzzzzzzzzzzzzz
Are the expressions (3^4)^4 and 3^8 x 3^8 equivalent? I need help ASAP
Answer:
yes
Step-by-step explanation:
(3^4)^4
this is the same as 3^(4x4)
3^16
3^8x3^8
since they are the same base just add the exponent to get
3^16
A movie theater offers 30% off the price of a movie ticket to students from your school. The regular price of a movie ticket is $8.50. what is the discounted price that you would pay for a ticket?
Answer:
$5.95
Step-by-step explanation:
To get the discounted price, we need to find how much is taken off from the regular price.
x/8.50=30/100
30×8.50=255
255/100=2.55
$2.55
Next, we need to subtract $2.55 from $8.50 to get the discounted price.
8.50-2.55=5.95
$5.95
$5.95 is the discounted price.
I hope this helped! :)
Answer: 5.95 dollars
Step-by-step explanation:
Vocabulary How do you know if an equation represents a proportional relationship?
Use the drop-down menu to show your answer.
If an equation can be written in the form
Choose...
, then it shows a proportional relationship.
Answer:
Y = kx
I did the test and got it right, so this is it.
James has $11. Suppose the function f (x ) = 1.25x + 4 represents the cost to rent x video games each month. How many more dollars will James need to rent 9 video games next month? *
Answer:
$4.25
Step-by-step explanation:
First, find the cost to rent 9 video games by plugging in 9 as x:
f(x) = 1.25x + 4
f(9) = 1.25(9) + 4
f(9) = 15.25
So, it will cost $15.25. Since James already has $11, we can find how many more dollars he will need by subtracting 11 from 15.25:
15.25 - 11
= 4.25
So, James will need $4.25 more dollars
Answer:
$4.25 more dollars
Step-by-step explanation:
f(x)=1.25x+4
James wants 9 video games, so 9 would be x
1.25(9) = 11.25
then you add the fixed cost of 4
11.25+4 = 15.25
He has $11, so 15.25 - 11 = 4.25
Meaning he needs $4.25 more dollar to rent 9 video games
If you drive 70 miles per hour for 8 hours how far can you drive
Answer:
You could travel 560 miles.
Step-by-step explanation:
To find out the answer you need to multiply 70 by 8.
70 × 8= 560
please help find the area (not cm) i’ll give brainliest
Answer
4.5 centimeters2
Step-by-step explanation:
Answer: 4.5
Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5 Hope this helps!
Choose the correct answer.
1. What is the equation of a line that passes
through the origin and intersects (4, 6)?
A. y = -3/2x
B. y = -2/3x
C. y = 2/3x
D. y = 3/2x
Answer:
The equation of the line is y = [tex]\frac{3}{2}[/tex] x ⇒ D
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through the origin (0, 0) and point (4, 6)
∴ x1 = 0 and y1 = 0
∴ x2 = 4 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]
∴ m = [tex]\frac{3}{2}[/tex]
→ Substitute it in the form of the equation above
∴ y = [tex]\frac{3}{2}[/tex] x + b
∵ The line passes through the origin
∴ The y-intercept = 0
∴ b = 0
→ Substitute it in the equation
∵ y = [tex]\frac{3}{2}[/tex] x + 0
∴ y = [tex]\frac{3}{2}[/tex] x
∴ The equation of the line is y = [tex]\frac{3}{2}[/tex] x
Question 8
The ratio of soccer balls to baseballs is 12 to 15. If there are 4 soccer balls, how many baseballs are there?
Your answer
Answer:
5
Step-by-step explanation:
Are the ratios 19:10 and 2:1 equivalent?
Answer: No, they are not.
Step-by-step explanation:
What's the common denominator of 2/3 and 4/9
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
Um, no lo sé, lo siento, solo necesito los puntos
Answer:
9
Step-by-step explanation:
common denominator of 2/3 and 4/9
9 is the answer
this is the third one. to the person that is helping me, thank you so much.
Answer:
B is the answer.
First you do 38.25 divided by 3 and you get 12.75, And option B is 12.75
I NEED HELP ASAP! Solve for x.
Answer:
3
Step-by-step explanation:
HELP PLEASEEE I NEED ANSWER RN.
Answer:
The first answer.
Step-by-step explanation:
-4, .075, 2.23, and 3. All you really needed was to know the square root of 5
Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car averages than Russ' s car?
Answer:
4 times
Step-by-step explanation:
This is calculated by putting them in a ratio
Russ's car : Mike's car
9.8 miles per gallon : 39.2 miles per gallon
Converting to fraction
= 9.8/39.2
= 1/4
Hence, we have the ratio:
1 : 4
Hence, Mike's car averages Russ's car 4 times more in miles per gallon
A car travels 266 miles in 7 hours. If it travels at a constant rate, how many miles does the car travel in 1 hour?
A.26 Miles
B.27 Miles
C.34 Miles
D.38 Miles
Answer: D is the right answer
Step-by-step explanation:
Kelsey owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Kelsey charges for a bike rental that lasts x hours?
Answer:
y=10+4x
Step-by-step explanation:
PLEASE HELP I HAVE A TEST!!A function predicts the number of household online-
devices in the average United States household. Which
domain would be the most appropriate set to use for
this function
Integers
Whole numbers
Rational Numbers
Irrational Number
Answer:
whole numbers probably
Which steps show how to use the distributive property to evaluate 6 times 49
A. 6(49) = 6(50-1) = 6.50 6.1 300
B. 6(49) = 6(50
1) 6.50
1 300
1299
C. 6(49)=6150 - 16.30
D. 6(19) =6150
1) = 6 to
500 1300 300
Answer:
294
Step-by-step explanation:
The distributive property for multiplication is as follows :
a(b+c) = ab + ac
We need to evaluate 6 times 49 i.e. 6(49).
We can write 49 as (50-1)
6(50-1) = 6(50+(-1))
Here, a = 6, b = 50 and c = -1
So,
6(50+(-1)) = 6(50) + 6(-1)
= 300-6
= 294
So, answer is 294. Option (A) is somehow correct.
Find the slope of the line described by 2x − 5y = −10.
Answer:
2/5 is the slope
Step-by-step explanation:
Answer: y= [tex]\frac{2}{5}x + 2[/tex] would be the equation the slope would be 2/5x
Write an equation in slope intercept form of the line that passes through the given point
and has the given slope.
(-3,2), m = -3
Answer:
y=mx+b 2=(-3)(-3)+b
2=9+b -7=b