======================================================
Explanation:
In any quadrilateral, the four angles always add to 360
P+Q+R+S = 360
x+5x+x+5x = 360
12x = 360
x = 360/12
x = 30
This means
P = R = x = 30
Q = S = 5x = 5*30 = 150
So, P+Q+R+S = 30+150+30+150 = 360 which helps confirm the answer.
Answer:
x = 30
Step-by-step explanation:
the sum of all angles is 360
the picture shows that the sum equals 12x
12x=360
x= 360/12
x = 30
Ebony attended 75% of 32 school events. How many school events did she NOT attend?
Answer:
8.
Step-by-step explanation:
25% of 32=8
25*32=800
800/100=8
8 events
Mr. Styranko and his wife combined ate 9 pieces of the wedding cake. Mr
Styranko ate 3 pieces of cake and his wife ate 14 of the total cake.
a.
Write an equation to determine how many pieces of cake (c) there
was in total.
b.
Find the total number of pieces of cake
wdym: 14 of the total cake
Karen made $85 for 5 hours of work. At the same rate, how much would she make for 8 hours
Answer:
The correct answer would be $136
Step-by-step explanation:
If Karen made $85 in 5 hours and you want to figure out how much she would make in 8 hours, then you would first need to know how much she makes in 1 hour. Do to that, you would divide from 85 by 5, which would then give you 17. So that tells you how much Karen makes in 1 hour, now to find out how much she makes in 8 hours, all you have to do is multiply 17 and 8. Therefore, the answer to your question is Karen would make $136 in 8 hours.
Hope I helped
11 Pause
Jose's batting average is 0.250 after 160 times at bat, which means he made a hit 40 of the times he was at bat. He wants to
improve his batting average to 0.333. If he makes a hit the next x times at bat, which equation can be used to calculate the number
of hits needed to obtain this improved batting average?
O A. 2+40
160
.333
Answer:
Step-by-step explanation:
Given that:
Batting average = 0.25 after 160 times at bat;
Batting Average = Number of hits / number of times at bat
0.25 = number of hits / 160
Number of hits = 0.25 * 160 = 40
He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average
Hence,
New average = number of hits / number of times at bat
0.333 = (number of hits + x) / (160 + x)
0.333 = (40 + x) / (160 + x)
8 taps can fill a tank in 27 min with the same rate of flow. If 3 taps go out of order how long will the remaining taps take to fill the tank
Answer:
pls 5 star
Step-by-step explanation:
8 taps can fill a tank in 27 minutes.
So,
1 tap can fill the same tank in time = 27 × 8 = 218 minutes
Therefore, 6 remaining taps can fill the same tank = 216/6
= 36 minutes
The remaining 6 taps will take 36 minutes to fill the same tank.
The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
inverse of this function is f-?(x) = ell. Which conclusion can be drawn by comparing the two functions?
The domain of f(x) is all real numbers and the range is all real numbers.
The domain of f(x) is all real numbers greater than 0 and the range is all real numbers.
The domain of f-1(x) is all real numbers and the range is all real numbers greater than 0.
The domain off-1(x) is all real numbers greater than 0 and the range is all real numbers greater than 0.
Answer: The domain of f-1(x) is all real numbers and the range is all real numbers greater than 0.
Step-by-step explanation:
The inverse function of f(x) = ln(x) is:
f-1(x) = exp(x).
And as:
The domain of f(x) is: x ∈ R, x > 0.
The range of f(x) is: x ∈ R
Then for the inverse, we should have the opposite:
The domain of f-1(x) is: x ∈ R (the exponential function does not have any problems like the logarithm, so you can actually input any real value).
The domain is: x ∈ R, x > 0.l
Because, for example:
e^0 = 1
e^-1 = 1/e > 0.
e^-n = 1/e^n > 0.
e^x is always positive, then the range is the set of all real numbers large than zero.
Answer:
The answer is C.
Step-by-step explanation:
The Mulder Farm has 600 acres of land allotted for raising corn and wheat. The cost to cultivate corn is $40 per acre. The cost to cultivate wheat is $25 per acre. The Mulders have $18,000 available to cultivate these crops. How many acres each crop should the Mulders plant
Answer: Corn = 200 acres
Wheat= 400 acres
Step-by-step explanation:
Let the number of acres of corn = c
Let the number of acres of wheat = w
The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:
c + w = 600
c = 600 - w
Cultivation cost equals:
= 40c + 25w = 18000
Since c = 600 - w, we slot it into the equation
40c + 25w = 18000
40(600 - w) + 25w = 18000
24000 - 40w + 25w = 18000
Collect like terms
24000 - 18000 = 40w - 25w
6000 = 15w
w = 6000/15
w= 400
400 acres of wheat will be planted
Since c + w = 600
c = 600 - 400
c = 200
200 acres of corn should be planted
Triangle ABC is similar to triangle XZY. Find the missing side x using proportions ( PLEASEE HELP ASAP)
Answer:
x=70º
Step-by-step explanation:
Triangle ABC, A/C=50º, B/C=40º
40º+50º=90º
Triangle XZY, Y/Z=20, Y/X=x
Since it is a right triangle it will add up to 90º.
So 90º-20=70
The missing angle x is 70
x= 70
The length of the unknown side of the triangle XYZ is 25 units.
What is similarity of triangles?
Two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.
Given is Triangle ABC which is similar to triangle XZY.
Since both the triangles are congruent to each other, their corresponding sides will be in equivalent ratios. Therefore, we can write-
BC/YZ = AC/YX
40/20 = 50/x
x = (50 x 20)/40
x = 50/2
x = 25
Therefore, the length of the unknown side of the triangle XYZ is 25 units.
To solve more questions on similar triangles, visit the link below-
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How do you rotate 180 degrees counterclockwise
Answer:
You do the hokie pokie and you turn yourself around, thats what its all about, but while doing that, turn to the left instead of the right LOL. Have a great day! -Conner
Step-by-step explanation:
What is the mean of the values: 10, 20, 35, 35, 35, 40, 45, 45, 50, 60
nothing. sorry I can't answer
Answer:
37.5
Step-by-step explanation:
On a map, two cities are 5 3/4 inches apart. The scale of the map is 1/2 inches =3 miles. What is the actual distance between the towns?
Answer:
34.5 miles.
Step-by-step explanation:
Name the additive inverse of 5 + I
Answer:
so
Step-by-step explanation:
For example, the additive inverse of the positive number 5 is -5. ... This means that the additive inverse of a negative number is positive. For instance, if x equals -12, then its additive inverse is y = 12.
The additive inverse is (-5) + (-1)
what is additive Inverse?To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.
Given:
5 + I
As, the additive inverse is the opposite sign of the given number.
For example, if the number is -6 and we have to find its additive inverse.
So, the additive inverse will be 6.
So, the additive inverse is (-5) + (-1)
Learn more about additive inverse here:
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Help please. I'll give the Brainliest.
Answer:
Options 1,2,3 are correct statements
The first values in an ordered pair ( the coordinates) are the domain : ( -3,-2,-1,0,1)
The second values are the range : (-1,1,2,3,4,5)
One input should have only one output for a function.
But -1 input has 2 outputs: -1 and 3.
Thus, it is a relation and not a function.
Hope it helps :)
Mark it Brainliest pls:)
Answer:
When going down, 19 is the answer. When going up, 20 is the answer.
10* (For the first number)
Step-by-step explanation:
Who’s smart. You have a car that drives 30 miles per hour if your car drove 24 hours what mile would you be at.
Answer:
720
Step-by-step explanation:
Hope this helps:)
Answer:
You drove 720 miles
Step-by-step explanation:
You would use the equation 24x30 and that would give you 720 miles driven.
POLY ≅ SIDE
A. List four pairs of congruent sides.
B. List four pairs of congruent angles
Which expression is equal to 72
Answer: The last one is equal to 72
Step-by-step explanation:
2^3*3^2
2*2*2*3*3=72
Question 5 (5 points)
(07.02)
Simplify (3x - 5) - (5x + 1). (1 point)
a
-2x + 6
b
-2x - 6
C с
2x - 6
Od
2x + 6
Answer:
B. -2x-6
Step-by-step explanation:
First distribute the minus sign (remember that the "-" is actually a "-1")
3x-5+-5x-1
Now group like terms
3x-5x-5-1
And solve
-2x-6
Find the slope of a line perpendicular to each given line.
1) y = 1/2x - 2
2) y = 2x + 2
Answer:
It's 1. Have a nice day! :)
Step-by-step explanation:
Please help pre algebra it’s super hard
Answer:
a reflection and then a translation
a translation and then a rotation
a rotation and then a reflection
Hope this helps
Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9); Slope: 2
Answer:
point slope form: y - y1 = m(x - x1)
m = slope, (x1, y1) is a point on the line
y - (-9) = 2(x - 1)
y + 9 = 2(x-1)
Step-by-step explanation:
C (x) = 0.05x+9.25
What is the total rental cost if Jose drove 40 miles?
V dollars
?
Answer:
11.25 dollars in 40 miles.
Step-by-step explanation:
Plugging 40 in for x, we get the equation C(x) = 0.05(40) + 9.25. We do the math, get 2 + 9.25, add, and get the answer 11.25.
Estimate the quotient using compatible numbers.
2,316 ÷ 6 = _____
3,000
4,000
400
300
can someone help me
Anna is really involved in after school activities and is a part of the Drama club, as well as the Junior Optimist club. Every three days, there is a Drama club meeting, and every 8th day, she has Junior Optimist club meeting. Today she is scheduled to attend both meetings. How many days will it be until she will have both meetings on the same day again?
Answer:
The next time she will have both meetings on the same day again is 24 days time
Step-by-step explanation:
The given information are;
The frequency of the Junior Optimist club meeting = Every 3 days
The frequency of the Drama club meeting = Every 8th day
The club meeting Anna will attend today = Both meetings
The next time she will have both meetings on the same day again is given as follows;
The next time she will have both meetings on the same day again = The number of days the complete cycles of both meetings will coincide = The product of the cycles of both meetings
The next time she will have both meetings on the same day again = 8 × 3 = 24 days
The next time she will have both meetings on the same day again = 24 days time.
What is the discriminant of the quadratic equation 7x2 + x + 8 = 0?
Answer:
22+ 1x=
Step-by-step explanation:
hello
What is the value of the 8 in the number 24.387.Give your answer as a fraction
Answer:8/100
Step-by-step explanation:
Answer:
Be more specific next time, please. If you are asking what percent 8 is of 24.387, the answer is 33.333333333333% or 3/8.
3(m + 4)
Simplify the expression
Answer:
( − 3 m ) − 4
should be the answer , hope i helped
Rewrite the expression using the negative exponent rule
Simplify the denominator.
Answer:
3m+4
Step-by-step explanation:
3(m+4)
mutliply 3 with m and 4 known as the distributive property
you get: 3m+4
Pete is having a cup of black coffee with breakfast. The glass weighs 100g and holds 100mL, so he says that the drink (the cup and coffee together) weighs 200g. Explain why Pete is mistaken
Answer:
The units g and mL measure different quantities.
Step-by-step explanation:
Pete knows the glass weighs 100g, so this is the weight of the cup.
It holds 100 mL, however, mL measures volume, not weight.
Pete is wrong about saying that the cup and coffee together weigh 200 g, because you cannot add two values together that have different units.
In this example, you cannot add together the weight of the cup and volume of the coffee, in order to get the total weight. You would have to find the weight of the coffee, then add that to the cup's weight.
So, Pete is wrong because you cannot add 2 values together that have different units.
Different quantities are measured by the units g and mL.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Pete knows the glass weighs 100g, so this is the weight of the cup. It holds 100 mL, however, mL measures volume, not weight. Pete is mistaken when he claims that the coffee and cup combined weigh 200 g since you cannot add two values with different units of measurement.
In this case, you cannot calculate the entire weight by adding the weight of the cup and the volume of the coffee. You would need to determine the weight of the coffee and then increase it by the weight of the cup.
Therefore, Pete is wrong because you cannot add 2 values together that have different units.
To know more about units follow
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- Hector can throw a ball 50 feet
. Lee can throw the same ball 48 feet. How much farther can Hector
throw the ball than Lee:
A. 2-
15
B. 2
C.
D.
Answer:
2
Step-by-step explanation:
hector(50)- lee(48)
2
Answer:
1 ball = 5o feet
same ball=48 feet
hactor=50-48=2
(b)=2
A building casts a 33 m shadow when the Sun is at an angle of 26. to the vertical. How tall is the the building, to the nearest meter? Use a trigonometric ratio to find the distance FE. A building casts a 33 m shadow when the Sun is at an angle of 26. to the vertical. How tall is the building, to the nearest meter? Use a trigonometric ratio to find the distance F E.
so basically we just us do this
tan(26)=33/FE
Multiply to get rid of fraction
tan(26)FE=33
divide to get FE alone
FE = tan(26) * 33
FE=16.0951m
so it should be 16.0951m