Answer:
15x^3-70x^2+65x+30
Step-by-step explanation:
1) 5(3x+1)= (15x+5)
2) (15x+5)(x-2)=15x^2-25x-10
3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30
The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height
Answer:
10cm
Step-by-step explanation:
the formula for an area of a trapezium:
[tex] \frac{(a + b) \times h}{2} = area[/tex]
where a and b are the parallel sides and h is the height. equating what we have:
[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]
simplify the numerator by adding 19.8 and 7.2=27
[tex] \frac{27h}{2} = 135[/tex]
multiply both sides by 2
[tex]27h = 270[/tex]
divide both sides by 27
[tex]h = \frac{270}{27} = 10[/tex]
the height is 10cm
If 3x = 21, find the value of 23 - 4x
Answer:
- 5
Step-by-step explanation:
Given
3x = 21 ( divide both sides by 3 )
x = 7
Then
23 - 4x = 23 - 4(7) = 23 - 28 = - 5
A map is drawn to a scale of 28 miles per inch. Fill in the table.
need some help
Answer:
inches: 0.5 miles: 14
inches: 1 miles 28
inches: 1.5 miles 42
Hope This Helps!!!
X=?
38 degrees 75 degrees
Answer:
67
Step-by-step explanation:
Sam the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday
there were 5 clients who did Plan A and 3 who did Plan B. on Thursday there were 7 clients who did Plan A and 9 who did Plan B. Sam trained his Wednesday
clients for a total of 6 hours and his Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Length of each Plan A workout:
Length of each Plan B workout:
Answer: 45 minutes for BOTH workouts
Step-by-step explanation:
Let time for plan a be x
Let time for plan b be y
On Wednesday
# of clients for plan a are 5
# clients for plan b are 3
On Thursday
# of clients for plan a are 7
# of clients for plan b are 9
Wednesday eqn --> 5x+3y=6
Thursday eqn --> 7x+9y=12
Multiply Wednesday equation by -3 and use elimination to solve
-15x-9y=-18
7x+9y=12
-8x=-6
x=6/8
Reduce: x=3/4 hour
Substitute x=3/4 into Thursday equation
7(3/4)+9y=12
9y=27/4
y=3/4
Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes
The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!
Answer:
AB ≈ 5.7
Step-by-step explanation:
Calculate AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )
AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]
= [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]
= [tex]\sqrt{4^2+4^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
≈ 5.7 ( to the nearest tenth )
A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students
Answer:
65 adults and 70 students
The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
To know more about elimination method here:
https://brainly.com/question/12090959
#SPJ2
Please help WILL MARK BRAINLIST!!!!
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
What is 4/6 divided by 3/12 what is the quotient
Answer: 8/3, 2 2/3
Step-by-step explanation:
reciprocal of 3/12 is 12/3
soooooo
4/6 x 12/3
which is 48/18
u can divide that by 6
which is 8/3
or 2 2/3
Find the measure of the indicated angle in the triangle.
Answer:
70°
Step-by-step explanation:
The V angle is complementary with the R which means that
120° + V angle = 180° Therefore V = 60°
The sum of the internal angles of the triangles equals 180.
We have 50° + 60° + U = 180
70° is the answer
The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.
Answer:
7 cm, 16 cm, 19 cm
Step-by-step explanation:
Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.
P = s + (3s -2) +(2s +2)
42 = 6s . . . . . simplify, use the given value of perimeter
7 = s . . . . . . . divide by 6
2s+2 = 16
3s -2 = 19
The side lengths are 7 cm, 16 cm, and 19 cm.
Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.
Answer:
54 - (2n)
Step-by-step explanation:
First you take 54
Then its says to “decrease (said number: 54) by twice a number”
Decrease meaning “take away/remove”.
So you subtract 54 by 2 —> 54 - 2
But then, the important line comes along, “Use the variable n to represent the unknown number.
This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.
So your answer is —> 54 - (2n)
Answer:
54 - 2n
Step-by-step explanation:
54 - 2n
Evaluate c√+b(a−3)^3, when a = 5, b = 2, and c = 49.
a.84
b.72
c.54
d.23
(will mark brainliest if correct)
Answer:
D). 23Step-by-step explanation:
I just did this question and it is 100% correct
A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$637.54
Step-by-step explanation:
The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.
a derpartment store sell 152 pair of jeans for 29 each. which is the best estimate of the total sales for the jeans
Answer:
44 dollars
Step-by-step explanation:
Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer
Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.
Answer: So, 27 as a fraction would be 27/1 i guess? lol
Answer:
27/1 it's correct answer
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form? Lin walked south, creating a right triangle. Lin walked southwest, creating an obtuse triangle. Lin walked southeast, creating an acute triangle. Lin walked directly east, creating a right triangle.
The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.
We have to determine
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
According to the question,
Types of Triangle;1. Lin walked south, creating a right triangle-
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 1 is incorrect.
2. Lin walked southwest, creating an obtuse triangle.
When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.
Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.
Thus statement 2 is correct.
3. Lin walked southeast, creating an acute triangle.
Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).
With walking in actuate triangle one can make Lin can not go in his diagonal direction.
Thus statement 3 is incorrect.
4. Lin walked directly east, creating a right triangle.
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 4 is incorrect.
Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
For more details about the Equation refer to the link given below.
https://brainly.com/question/9719077
Answer:
its B Lin walked southwest, creating an obtuse triangle
Which figure has reflection symmetry?
Answer:
the first option
Step-by-step explanation:
if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side
The figure below shows a rectangular prism and a cube:
A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch.
How many such cubes are required to completely pack the prism without any gap or overlap?
choices:
288
576
1,152
1,636
Answer:
576
Step-by-step explanation:
find the volume and then divide by the cube
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer: 54 words does Rachel type per minute
Step-by-step explanation:
Rachel types 162 words in 3 minutes Rachel types at a constant rate.
We have to find how many words does Rachel type per minute.
By definition of unit rate: all we do is divide 162 by 3 which gives us 54
Answer:
54 words per minute
Step-by-step explanation:
In 3 minutes Rachel types 162 words
Then
In 1 minutes,Rachel types 162÷3 words
In 1 minutes Rachel types 54 words
.
. . Rachel types 54 words per minute
When is it best to solve a system of equations using substitution?
Answer:
The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method
PLEASEE HELP ME ITS EAZY
If its easy, why don’t you do it yourself??
i know the pythagorean theorem
Answer:
I know the pythagorean theorem
Step-by-step explanation:
ok
What do you know to be true about the values of p and q?
09
AM
60°
50°
30°
80°
Answer:
p=q
Step-by-step explanation:
all angles together is 180. p=70 degrees and q = 70 degrees
Maci is saving money to go to Disney world for spring break. She has saved $570 so far. She works at Walmart and makes $9.20 per hour. How many more hours must work ur she needs a total of $800 to go to Disney world?
Answer:
25 hours
Step-by-step explanation:
subtract 800 from 570 to find out how much more she needs to save
divide your answer by 9.20
hope you understand
.The quotient of 9.75 and a number is-6.5
Answer:
1.5
Step-by-step explanation:
Set uo an algabraic equation like so:
9.75/x=6.5
Solve by multiplying both sides by x
then you get 9.75=6.5x
Then you divide 6.5 on each side
x=1.5
Answer:
1.5
Step-by-step explanation:
9.75/5.5=1.5
The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of the original piece of land.
Step-by-step explanation:
Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m
Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m
If 4 small square flower bed of side length 1 m are made at center.
To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.
Perimeter of the rectangle = 2 × ( length + breadth )
= 2 × ( 25/2 + 26/5 )
= 2 × ( 177/10 )
= 177/5 m
= 35.4 m
Area of the rectangular land = Length × Breadth
= 25/2 × 26/5
= 5 × 13
= 65 m²
Area of a flower bed = side × side = 1 × 1 = 1 m²
Area of 4 flower bed= 4 × 1 = 4 m²
Area left in the land = 65 - 4 = 61 m²
Therefore, Perimeter of the land is 35.4 m
Area of land is 65 m²
Area of the land left after flower beds is 61 m²
The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.
Please explain also
Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.
Diane is participating in a 5-day cross-country biking challenge. She bikes for 47, 46, 61, and 50 miles on the first 4 days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day
1.) Jacob bought a total of 9 pizzas for his class party. The amount of
large pizzas was twice the amount of medium pizzas. How many large
and how many medium pizzas did he buy?
Equation #1:
Equation #2:
Large Pizzas:
Medium Pizzas:
what’s the equations
Answer:
Equation 1: L+M=T
Equation 2: 2M=L
Large Pizzas: 6 pizzas
Medium Pizzas: 3 Pizza
Step-by-step explanation:
Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.