Answer:
7
Step-by-step explanation:
the number = x
8x + 4 = 60
8x = 56
x = 7
Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1). Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2). Name the transformations that map line segment RS to line segment R''S''. reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1) rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1) rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1) translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin
Answer:
Rotation of 180° about the origin,
Followed by a translation (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Given
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S" = (5,2)[/tex]
Required
Determine the transformations
From the list of given options (B) answers the question.
Rotation of 180° about the origin,
When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)
So:
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
becomes
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
A translation (x, y) → (x + 1, y + 1)
This implies that 1 is added to the x and y coordinates
So:
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
becomes
[tex]R" = (2 + 1,-4 + 1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S"=(4 +1,1+1)[/tex]
[tex]S" = (5,2)[/tex]
PLEASE HELP ! Which inequality represents “nine more than three times a number is greater than 21”.
A. 9n > 21
B. 9+ 3 > 21
C. 3n +9 > 21
D. 9n + 3 > 21
Answer:
C
Step-by-step explanation:
Answer:
C. 3n+9>21
Step-by-step explanation:
Ignore the 9 for a second and think about the phrase "3 times a number", if we say n is the number, then 3n is 3 times the number n.
Now we need something that is 9 more than this 3n, that means you add 9 to this, so you have 3n+9.
Finally, this 3n+9 is greater than 21, so we have 3n+9>21.
pls help I really need this
Answer:
Rocks
Explanation:
I'm quite sure scientists have looked at rock mass to determine Earth's crusts.
A new health drink has 130% of the recommended daily allowance (RDA) for this vitamin. The RDA for this vitamin is 45 mg. How many milligrams of the vitamin are in the drink?
Answer: 58.5 mg
Step-by-step explanation:
Given: Recommended daily allowance(RDA) for a certain vitamin = 45 mg
To find : Quantity of this vitamin in drink
Amount of vitamin new drink has = 130% of (RDA)
= (130% of 45) mg
= (1.3 x 45 mg [ To convert percentage to decimal , we divide a number by 100]
= 58.5 mg
Therefore, Quantity of vitamin in drink = 58.5 mg
Angela uses 2/3 cup of strawberries to make 5/6 of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?
Answer: 5/6÷2/3
5/6×3/2
=5/4
5/4 cups of strawberries makes 1 litre of smoothie
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT occupied by the tennis balls? (Assume the tennis balls touch the can on all sides, top and bottom.) Round to the nearest tenth and show all steps and reasoning.
Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height of the cylinder
With the given condition,
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.
Which choices are solutions to the following equation?
Check all that apply.
x^2 - 3x = -5/4
Answer:
The answer to this question is C.
What is the reciprocal of 5 1/8
Answer:
0.19512195122
Step-by-step explanation:
Simplify the following problem.
| -48 – (-5) |
Answer:
the answer is -43 it is right
Answer:
-43
Step-by-step explanation:
Here is the question again
Answer:
[tex]\huge\boxed{11}[/tex]
Step-by-step explanation:
[tex]\sf = y^2-x^2\\\\Put \ y = 6 \ and \ x = 5\\\\=(6)^2-(5)^2\\\\=36-25\\\\= 11\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807What is the first step in solving the following system of equations?
3 x + y = 23.
8 x + 2 y = 23.
Answer:
Solve the first equation for y
Step-by-step explanation:
The distances traveled by car A car Afx x hours. are. represented by the graph and table below.
Answer: b
Step-by-step explanation:
The speed of car B is twice the speed of car A.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
For car A,
Time= 5 hours
Distance = 200 miles.
speed= 200/5
speed= 40 mph
and, In car B
Time= 6 hours
Distance= 480 miles
speed= 480/6
speed= 80 mph
Hence, the speed of car B is twice the speed of car A.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ6
Helppppppppppppppppppp me Write this rate as a unit rate. 7/5 miles 2/3 hour
The graph shows the volume (y) of a cup of water (in ml). The cup has a small leak and the volume of water is decreasing at a constant rate each second (x). The situation can be expressed as a linear equation. Which values are correct for the slope and the y-intercept of the graph?
m = –1.5, b = 22
m = –3.5, b = 22
m = –3.5, b = 420
m = –1.5, b = 420
PLEASE HELP!!!
Answer:
its B :)
Step-by-step explanation:
trust me bb
Ayana has $20.95 in quarters and dimes. If she has 103 coins in all, find the number of quarters and dimes. PLEASE HELP AND SHOW WORK!
Emma earns $2 less than three times as much as Rachel. Nick earns twice as much as Emma. Together they earn $594 per week. How much does each person earn per week?
Answer:
290$
Step-by-step explanation:
Answer:
Mei earn $2 less than three times as much as Olivia. Shane earns twice as much as mei. Together they earn $594 per week. How much does each person earn per week?
***
Step-by-step explanation:
let x=amt Olivia earns
3x-2=amt Mei earns ($2 less than three times as much as Olivia).
2(3x-2)=amt Shane earns (twice as much as mei)
..
x+3x-2+2(3x-2)=594
x+3x-2+6x-4=594
10x=600
x=60
3x-2=178
2(3x-2)=356
amt Olivia earns=$60
amt Mei earns=$178
amt Shane earns=$356
can someone plz help me
Answer:
I think B
Step-by-step explanation:
I think
Answer:
The equation has no solution.
Step-by-step explanation:
[tex]2(3x - 8) = 8x - 2x - 8 \\ \\ 2 \times 3x - 2 \times 8 = 6x - 8 \\ \\ 6x - 16 = 6x - 8 \\ \\ 6x - 6x = 16 - 8 \\ \\ 0 = 8 \: (which \: is \: absurd) \\ \\ the \: equation \: has \: no \: solution \\ [/tex]
Given the following function, determine f(6).
Type your answer in the space provided
f(x)
2X-7
Please help I’m dumb
A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.
Answer:
AD is 6.5 units
Step-by-step explanation:
Find the diagram attached.
From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.
To get AD, we will use the pythagoras theorem as shown;
Hyp² = Opp² + Adj²
AD² = 6²+2.5²
AD² = 36 + 6.25
AD² = 42.25
AD = √42.25
AD = 6.5
Hence the measure of length segment AD is 6.5 units
Please, I need help.
The science club is going to the space museum. The club consists of 27 students.
Answer:
did u forget to complete the question or.....
Does anyone have any drink recommendations for Starbucks???
Answer this math problem tho
Me and a friend go to Starbucks I order a venti caramel frap and my friend orders the same. Both of our drinks plus 4 cake pops cost $17.75. I have $40 in cash how much do I have left after our order has been paid for???
Answer:
hmm try pumpkin spice fraptinao *sry ik i spelled it wrong
Step-by-step explanation:
,,,,,,,,,hi help pls
PLZ help. I need this today.
Answer:
X=16
Step-by-step explanation:
6x=32+64
6x= 96
X= 16
True or false: A rotation is a type of transformation in which each point of a pre-image is moved along a circular path centered at a given
center of rotation O. (1 point)
This statement is false. A rotation is a type of transformation in which every point of an object is moved to a point on the other side of a given line and
the same distance from the line.
O This statement is false. A rotation is a type of transformation in which every point of an object moves the same distance in the same direction.
O This statement is true
O This staterment is false. A rotation is a line over which each point in a fiqure is reflected.
Carlos and Jonathan shared $40 in the ratio 5:3. How much money did Jonathan get? (Draw a tape diagram).
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
carlos got 25 and Jonathan got 15.
Step-by-step explanation:
5+3=8 40/8=5
5×5=25. 5×3=15
brainliest for correct answer
Answer:
5
Step-by-step explanation:
frend me please thank to this is cause i love you guys
Answer:
Thanks for the points broski. You shouldn't love a random stranger
Step-by-step explanation:
Answer:
ok whats up frend me to pleas
Step-by-step explanation:
50,6291583.9741
What place value does 4 hold in the number above?
number 4 is in the thousanths place
Francis heard that a car radio was on sale for 30% off. If the sale price was $57.75, what was the original price of the raido?
A. $82.50
B. $75.30
Answer
b
step-by-step explanation:
Answer:
a 82.50
Step-by-step explana
82.50
30.00
pluse taxt =3.00
52.50.50
30.00
82 . 50
