21
[tex] \frac{1}{2} height \: of \: trapezium(a + b) = area \: of \: trapezium[/tex]
half the height is 3
a=7
b=x
3(7+x)=84
21+3x=84
place the like terms on one side
84-21=3x
63=3x
x=21
(4x + 9)/2 1/3= 3x/0.5
The value of x is 9/10.
The given equation is [tex]\frac{4x+9}{2\frac{1}{3} } =\frac{3x}{0.5}[/tex].
What is an equation?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, [tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
⇒(4x+9)×3/7=3x×2
⇒12x+27=42x
⇒30x=27
⇒x=9/10
Therefore, the value of x is 9/10.
To learn more about the equation visit:
https://brainly.com/question/10413253.
#SPJ2
Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality 3 + t less-than 5.5 represents the situation. Which number line shows how much longer Allen can run and still meet his goal?
Answer:
Kindly check attached picture for number line.
Step-by-step explanation:
Total time Allen would love to complete race is less than 5.5 hours
Time elapsed = 3 hours
Inequality representing the problem above :
3 + t < 5.5
Where t will mean the time left.
Solving for t
t < 5.5 - 3
t < 2.5
Time left is < 2.5 hours.
Answer:
Open Circle to the left from 2.5
Step-by-step explanation:
helppp
Determine the x-intercept of the line whose equation is given:
y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)
Answer:
A
Step-by-step explanation:
If you put your function in a graphing calculator you will get (6,0)
Which of the following is a term in the algebraic expression:
p2 + 12p-14?
A. 12
B. p3
C. 3
D.P
Answer:
Hello!
____________________
Your answer would be (C).
Hope this helped you!
Nzjksjsjdidnxnskusxh
Answer:
99cm^2
Step-by-step explanation:
Look at pic
Solve the system of equations by substituion,
-5x + y = 3
7.5x - 1.5y = 3
If there are 9 square patches on the quilt, how many circle patches are there?
Answer:
5
Step-by-step explanation:
there are 5 circle patches on the quilt
HELP ME ASAP Check all that apply. If cos0=15/17 , than: A. sec0 = 17/15 B. csc0 = 17/15 C. sin0 = 15/8 D. tan0 = 8/15
Answer:
D. tan 0 = 8/15 and A. sec 0 = 17/15
Step-by-step explanation:
Cos 0 = adjacent/ hypotenus
Adj = 15 and Hyp =17
Using pythagoras theory
Opp^2 = 17^2 - 15^2
Opp^2 = 289 - 225
Opp^2 = 64
Therefore Opp = 8 which is the square root of 64
tan 0 = opp/adj
tan 0 = 8/15
Sec 0 is the multiplicative inverse of cos 0
5. Solve 2(1 - x) > 2x.
a. x > 2
b. x < 2
c. x < 0.5
d. x > 0.5
Answer:
I do not know for sure but i think it might be B.
Step-by-step explanation:
Im not the smartest so yeah hopefully that is the answer you are looking for tho :D
Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
A fish tank measures 40 cm by 25 cm by 24 cm. It is filled with water from a tap. The fish tank is 5/8 full in 6 minutes. Find the volume of water that flows from the tap each minute
Answer:
Rate r = 2500 cm^3 per minute.
the volume of water that flows from the tap each minute is 2,500 cm^3
Step-by-step explanation:
Given;
Dimension of fish tank = 40 cm by 25 cm by 24 cm
Volume of tank V = l×b×h = 40×25×24 cm^3
V = 24000 cm^3
From the question;
The fish tank is 5/8 full in 6 minutes
The volume of water in the tank in 6 minutes is;
V(6) = 5/8 × V = 5/8 × 24000
V(6) = 15000 cm^3
The rate of flow of water from tap per minute is;
Rate r = V(6) ÷ time
r = V(6) ÷ 6 minutes
r = 15000 ÷ 6
r = 2500 cm^3 per minute.
the volume of water that flows from the tap each minute is 2,500 cm^3
I will mark brainiest if correct Let f(x)=5x−7 and g(x)=x+3. Find f(g(x)) and g(f(x)).
Step-by-step explanation:
f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8
g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4
Given: JP = KP; PX = PY Prove: ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K. Which best describes the missing reasons? ♣: ♦:
Answer:
Which best describes the missing reasons?
♣:reflexive property
♦: SAS
Step-by-step explanation:
I just did it.
The missing reasons is ♣: reflexive property
We have given that,
JP = KP; PX = PY
ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K.
We have to determine which best describes the missing reasons.
What is the reflexive property?
The reflexive property of equality states that a number is always equal to itself. Reflexive property of equality. If a is a number, then. a = a. a=a.
♣: reflexive property
♦: SAS
To learn more about the reflexive property visit:
https://brainly.com/question/2019080
#SPJ2
Q2:
Which expression is equivalent to 4(x + 1) – 7(x + 3)?
A
11x + 25
B
11x – 17
C
–3x – 17
D
–3x + 25
Answer:
The expression equivalent to the given equation is -3x - 17
Step-by-step explanation:
4(x + 1) - 7(x + 3)
Distribute 4 to (x + 1) and distribute 7 to (x + 3).
4x + 4 - 7x - 21
Combine like terms.
-3x - 17
Multiply the polynomial.
(4x+2)(x-2)
PLEASE HELP!!! ASAP!!!
Answer:4x2−6x−4
Step-by-step explanation:
(4x+2)(x−2)
=(4x+2)(x+−2)
=(4x)(x)+(4x)(−2)+(2)(x)+(2)(−2)
=4x2−8x+2x−4
=4x2−6x−4
Answer:
(4x+2)(x-2)
= 4x(x-2) +2(x-2)
=4x^2-8x + 2x-4
=4x^2 - 6x -4
A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c
Answer:
The correct option is
[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A
The diagram shows a parallelogram.
4 cm
7 cm
100°
Work out the area of the parallelogram.
Give your answer to 2 significant figures.
Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].
Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.
what is a other name for the set of all x-values
Answer:
its domain
Step-by-step explanation:
Answer:
i believe it is A- range.
Step-by-step explanation:
i took the quiz
If 3x-5=10x+9, what is 4(x+7)?
Answer: not sure
Step-by-step explanation:
Answer:
Hey there!
3x-5=10x+9
-5=7x+9
-14=7x
x=-2
4(x+7)
4(-2+7)
4(5)
20
Hope this helps :)
What value of x is in the solution set of 2x-3> 11 - 5x?
-3
2
Answer:
x >2
Step-by-step explanation:
2x-3> 11 - 5x
Add 5x to each side
2x+5x-3> 11 - 5x+5x
7x -3 > 11
Add 3 to each side
7x-3+3 > 11+3
7x >14
Divide by 7
7x/7 > 14/7
x >2
A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is'
Answer: 0.10
Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.
Power is the probability of avoiding a type 2 error. That is ;
Power = 1 - P(type 2 error)
Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is 0.10.
Calculation of the probability:Since The type 2 error should be committed at the time when the alternative hypothesis should be rejected
So, it can be like
Power = 1 - P(type 2 error)
Given that power = 0.90 ;
P(type 2 error) = probability of committing a type 2 error.
Now
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
Learn more about probability here: https://brainly.com/question/10695144
Select the correct answer. What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? A. 2 B. 3 C. 5 D. 6
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [- 1, 1 ] , thus
f(b) = f(1) = 5 ← from graph
f(a) = f(- 1) = - 5 ← from graph , thus
average rate of change = [tex]\frac{5-(-5)}{1-(-1)}[/tex] = [tex]\frac{10}{2}[/tex] = 5 → C
help me solve this please
Answer:
Center : (-2, 7)
Radius : 6
Step-by-step explanation:
If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.
hALP PLeAASE i will give brainly ;D
Answer:
the total amount is £756.
Step-by-step explanation:
given, monthly charge =£16
rate per min of call= £13 per min(150free calls )
rate per texts= £15per text (150 free text)
now, total calls made =170calls
total text = 180 text
now, minimum charge for 150 calls is free
so, left calls = 20 calls
charge for 20 calls= 20×£13
therefore, the charge for 20 calls is £260
now, for text
no. of text = 182-150=32
now, charge for 32 text =£ 15× 32
therefore the charge of 32 text is £ 480.
now, total amount = monthly charge + extra call charge+ extra text charge.
or, total amount = £16+£260+£480
=£756
therefore, the total amount is £756.
hope it helps...
How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that is 12% sugar? Answer: liters
Answer:
4 liters.
Step-by-step explanation:
From the question above, we are required to find the amount of water that should be added to a sugar and water solution.
Let x represent the amount of water that would be added by Sharon.
2×36/100= 12/100(2+x)
2×0.36= 0.12(2+x)
Cross multiply both sides
0.72= 0.24+0.12x
Collect the like terms
0.72-0.24= 0.12x
0.48= 0.12x
Divide both sides by the coefficient of x which is 0.12
0.48/0.12= 0.12x/0.12
x= 4
Hence Sharon should add 4 liters of water to 2liters of sugar and water solution that is 36% sugar to form a solution of 12% sugar.
Answer:
4 liters is the correct answer
Step-by-step explanation:
I have two U.S. coins that total 30 cents. One is not a nickel. What are the two coins?
To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out
In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :
Answer and Explanation:
The given problem is a kind of a riddle. It is given that the total of two US coins is
30
cents.
One is not a nickel, But the other one can be a nickel=
5
cents. So, the first one coin is a quarter=
25
cents. Which gives the total
30
cents.
Therefore, the two coins are a nickel and a quarter.
Hope you understood it!!! A
B
C
D
WHICH ONE??
PLEASE HELP ME !!!
Answer:
Is it B?
Step-by-step explanation:
ab^2 + 2a^2b + 4a + 2b
ab(b+2a) +2(2a+b)
ab(b+2a) +2(b+2a)
(ab+2)(b+2a)
that's why ab+2 is the answer.
a) Complete the table of values for y = 3x – 1
X
-2
-1
0
1
2
3
y
I
-4
5
Answer:
x | y
− 2 − 6
− 1 − 3
0 0
1 3
2 6
hope this helps!
The table of values for the equation y = 3x - 1, is attached.
x y
-2 -7
-1 -4
0 -1
1 2
2 5
3 8
What are equations?Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.
How do we solve the given question?We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.
To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.
Value of y when x = -2 is, y = 3(-2) -1 = - 6 - 1 = -7.Value of y when x = -1 is, y = 3(-1) -1 = - 3 - 1 = -4.Value of y when x = 0 is, y = 3(0) -1 = 0 - 1 = -1.Value of y when x = 1 is, y = 3(1) -1 = 3 - 1 = 2.Value of y when x = 2 is, y = 3(2) -1 = 6 - 1 = 5.Value of y when x = 3 is, y = 3(3) -1 = 9 - 1 = 8.We put all these values of y, for the corresponding value of x in the table. The completed table is attached.
Learn more about equations at
https://brainly.com/question/4344214
#SPJ2
It takes Carrie 58 minutes to get home. If Carrie leaves for home at 1:32, what time will she arrive?
Answer:
2:30
Step-by-step explanation:
58+32=90
90-60=30
2:30 is the answer
Answer: she will get home at 2:30
Step-by-step explanation:
If you start at 1:32 then take 28 min from 58 then you get 2:00
Finally add 30 yo that and get 2:30.
please help me and explain
Answer:
65
Step-by-step explanation:
[tex]x = \frac{1}{2} \times x \times y[/tex]
[tex] = \frac{1}{2} \times 10 \times 13 = 65[/tex]