Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
Answer:
r = 14
Step-by-step explanation:
4r + 2(r - 8) = 4(3 + r)
4r + 2r - 16 = 12 + 4r
6r - 16 = 12 + 4r
6r - 4r - 16 = 12 + 4r - 4r
2r - 16 = 12
2r - 16 + 16 = 12 + 16
2r = 28
2r ÷ 2 = 28 ÷ 2
r = 14
A motorist drives at an average speed of 80 km/hr. How far does she travel in 3(1/2)
hours?
Answer: 280 km
Step-by-step explanation:
[tex]3\dfrac{1}{2} \: hours = 3.5 \: hours[/tex]
S = V × t
V = 80 km/h
t = 3.5 h
S = 80 × 3.5 = 280 km
If sally completed 6 laps around a circular track with the dimensions shown below, how many meters will she have run? Use 3.14 for up and round your answer to the nearest tenth
Answer/Step-by-step explanation:
The diagram of the circular track is missing, and so also its dimensions.
However, let's assume the dimensions of the circular track given is diameter (d) = 20 meters or radius (r) = 10 meters.
Since it's a circular track, the circumference of the track would give us the number of meters she runs in 1 lap.
Circumference = πd
d = 20 m (we are assuming the diameter is 20 meters)
π = 3.14
Circumference of circular track = 3.14 × 20 = 62.8 m.
This means that 1 lap = 62.8 m that she would have to run.
Therefore,
6 laps would be = 6 × 62.8 = 376.8 m
Therefore, if she completes 6 laps around the circular track that has a diameter of 20 m, she will have to run about 376.8 m.
What is an equation of the line that passes through the points (-5, -1) and (5, 3)?
Find the value of x if necessary you may learn what the marking on a figure indicate
Answer:
Step-by-step explanation:
what is f(0) for the function f(x) =2x+3
Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
Answer:
3
step-by-step explanation
f ( x ) = 2 x + 3
f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )
multiply
f ( 0 ) = 0 + 3
Add the numbers
f ( 0 ) = 3
The school bought 957 science books, 1054 mathematics books, and 458 reading books. Put the books in order from least to greatest.
Answer:
reading books (458), science books (957), mathematics books (1054)
Step-by-step explanation:
458 is less than 957 and 1054, while 957 is less than 1054 but more than 458, and 1054 is more than 957 and 458.
458<957<1054
34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?
Answer:
small = 35 pounds
large = 45 pounds
Step-by-step explanation:
Let x = large boxes
y = small boxes
two equations can be derived from the question
x + y = 80 equation 1
60x + 65y = 4975 equation 2
multiply equation 1 by 60
60x +60y = 4800 equation 3
subtract equation 2 from 3
5y = 175
y = 35
substitute for y in equation 1
x + 35 = 80
x = 80 - 35
x = 45
Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______
Kharter goes to a gas station near his house where it costs $2.95 per gallon. Kharter’s car hold’s 13.2 gallons. The gas station near Devin’s house sells gas for $3.03 per gallon and his car holds 11.8 gallons
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
Answer:
4th graph
Step-by-step explanation:
x + 3y > -3
3y > -x - 3
y > -(1/3)x - 1
Blue Line
y < 1/2x + 1
Orange Line
y- intercepts = -1 and 1
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.
What expression represents the profit, and what is the profit if 240 cell phones are sold?
40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800
Answer:
C
Step-by-step explanation:
Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.
The profit, if 240 cell phones are sold, is $16,850.
Profit = 70x + 50
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The profit, in dollars, can be found by subtracting the cost from the revenue:
Profit = Revenue - Cost
= (2x² + 55x + 10) - (2x² - 15x - 40)
= 70x + 50
The expression for profit is 70x + 50.
To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:
Profit = 70x + 50
= 70(240) + 50
= 16,850
Therefore,
The profit, if 240 cell phones are sold, is $16,850.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Help please thanks! :)
Answer:
Option A = 1/15 cubic meters
Step-by-step explanation:
Formule to find volume of rectangular prism:
Volume = width × height × length
V = w×h×l
V = 1/3 × 1/4 × 4/5
V = 1/15 cubic meters
Find the missing side of the triangle and leave the answer in simplest radical form
Answer:
it would be radical 7
15 = x²+ 8
x²= 15 - 8
x²= 7 >>>>> radical 7 = x
Step-by-step explanation:
hope it helps
Answer:
x = √7.
Step-by-step explanation:
Using the Pythagoras theorem:
x^2 = (√15)^2 - (2√2)^2
x^2 = 15 - 8
x = √7.
A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST
Answer:
A. 4:5
B. 600 girls
Step-by-step explanation:
A. g : b = 12 : 15 = 4 : 5
B. the numbers of girls = 4/(4+5) × 1350
= 4/9 × 1350 = 600
Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75
Answers:
mean = 79mode = nonemedian = 81.5=================================================
Explanation:
To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores
Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632
Divide that over n = 8 to get 632/n = 632/8 = 79
The mean is 79
You have the correct answer. Nice work.
---------------
The mode is the most frequent value.
In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.
---------------
To get the median, we need to sort the items from smallest to largest
{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}
Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5
The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median
A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please
Answer:
60 sq.mStep-by-step explanation:
Given,
Length of the room = 12m
Width of the room = 5m
Therefore,
Area of the room = l × w
= 12m × 5m
= 60 sq.m (Ans)
(1.8 + 1.3) + 0.7 = 1.8 + (1.3 + 0.7) is an example of which property?
Answer:
Associative property
Step-by-step explanation:
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Hope this helps
WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°
Answer:
3 * 45 = 135 which is NOT 180
45, 45, 90 would work
Step-by-step explanation:
hope it helps!
Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals
Answer:
timely, timely,measurable
Step-by-step explanation:
Answer:
specific, timely, measurable
Step-by-step explanation:
i took the test on plato
the length of a pond is 1700 CM breadth is 14m and height is 1000 CM if a point is half filled calculate the volume of a water in the pond
Answer:
1190 m^3
Step-by-step explanation:
l = 1700 cm = 17 m
b = 14 m
h = 1000 cm = 10 m
Total volume = l × b × h
= 17 × 14× 10
= 2380 m^3
since it is half filled ,
Volume is half , so,
volume of water in pond = 2380 ÷ 2
= 1190 m^3
Can you please help. Evaluate angles d and e, giving reasons for your answer.
Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
<d = 25 degree and <e = 130 degree
Step-by-step explanation:
Let <d, <e and <f be the respective angles
<f = 25 degree (Vertically opposite angles are equal)
side fe = side ed (given)
Therefore, <f = <d (angles opposite to equal sides are equal)
Therefore, <d = 25 degree
<d + <e + <f = 180 degrees (Angle sum property)
25 + 25 + <e = 180
50 + <e = 180
<e = 180 - 50
<e = 130 degree
Therefore, <d = 25 degree and <e = 130 degree
Hope u understood
Please mark as brainliest
Thank You
Does this graph show a function? Explain how you know
yo brainly bolws and 2+2 is 4
Answer:
chese
Step-by-step explanation:
Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.
Answer:
2+2=4
Step-by-step explanation:
Bro, u serious?
A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it
Answer:
A = 4a² - 4ab + b²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length ) , so
A = (2a - b)² ← expand using FOIL
= (2a)² - 2ab - 2ab + (- b)²
= 4a² - 4ab + b²
A) m + n
B) 0
C) m - 1
D) -(m+n)
Answer:
D
Step-by-step explanation:
Lsh=rhs
U solve using algebra
https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5
Answer:
??????????
Step-by-step explanation:
Answer:
need more clarification
Step-by-step explanation:
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Una escalera de 10 metros de longitud esta apoyada sobre la pared. El pie de la escalera dista 6 metros de la pared. ¿ que altura alcanza la escalera sobre la pared?
Answer:
The height reached by the ladder is 8 m.
Step-by-step explanation:
A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?
Length of ladder, L = 10 m
foot of ladder, D = 6 m
Let the height reached is H.
[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]
Find the length of the hypotenuse to the nearest tenth. (example 4.5)
7
2

Answer:
hypotenuse = 7.3
Step-by-step explanation:
the length two legs of the given triangle are 7 and 2 respectively.
using pythagoras theorem
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.3 = c
x² + 8x + 16 =
I need the steps and the answer
and the box
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)
