[tex]5a - 12 = 3 \\ 5a = 3 + 12 \\ 5a = 15 \\ a = \frac{15}{5} \\ a = 3[/tex]
Answer:
[tex]a=3[/tex]
Step-by-step explanation:
Given the following question:
[tex]5a-12=3[/tex]
To solve this equation, we need to add 12 on both sides and then isolate the variable for a.
[tex]5a-12=3[/tex]
[tex]-12+12=0[/tex]
[tex]12+3=15[/tex]
[tex]5a=15[/tex]
[tex]\frac{5a}{5} =\div5[/tex]
[tex]15\div5=3[/tex]
[tex]a=3[/tex]
Hope this helps.
c. When two lines intersect, the
angles that lie on opposite sides of
the intersection point are called
vertical angles. For example, in
the diagram at the right, AED and
CEB are vertical angles. Name
another pair of vertical angles.
A
230
.19
E
DEB and AEC
9
B
d. Using the diagram at the right,
determine the measure of AEC,
DEB, and CEB if x = 23°. Show
all your work.
Answer:
AEC=BED=157°
Step-by-step explanation:
AEC + CEB + BED + x = 360°
since CEB and x are vertical angles, they are equal.
Also, AEC = BED (same reason)
therefore,
2AEC+ 23° + 23° = 360°
2AEC + 46° = 360°
2AEC = 360° - 46°
2AEC = 314°
AEC = 157°
BED also = 157°
Write an equation the describes the line passing through point (0,7) with slope - 7/3
Answer:
[tex]y=\frac{7}{3}x+7[/tex]
Step-by-step explanation:
[tex]y=mx+b\\\\y=\frac{7}{3}x+b\\ \\7=\frac{7}{3}(0)+b\\ \\7=b\\\\y=\frac{7}{3}x+7[/tex]
For these kinds of problems, the point-slope formula comes in handy.
The point-slope form (y - y1 = m(x - x1) +b) uses the slope and a point given to find the y-intercept, or in this case, the equation of the line.
First, we plug the known #'s into the equation, then solve.
y - 7 = -7/3( x -0)
y - 7 = -7/3x
+7 +7
y = -7/3x +7
Therefore, the equation of the line is: y = -7/3x + 7
Hope this helps!
A spinner is divided into 12 identical sectors and labeled 1 through 12. How many spins are expected for a multiple of 5 to be spun 22 times? Select from the drop-down menu to correctly complete the sentence. The spinner is expected to have to spin approximately Choose... times for a multiple of 5 to be spun 22 times
1. 68
2. 88
3. 110
4. 132
Using the binomial distribution, it is found that the spinner is expected to have to spin approximately 132 times for a multiple of 5 to be spun 22 times, hence option 4 is correct.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_f(X) = \frac{q}{p}[/tex]
In this problem:
We want 22 successes, hence q = 22.2 out of 12 sections(5 and 10) are multiples of 5, hence p = 1/6.Then:
[tex]E_f(X) = \frac{q}{p} = \frac{22}{\frac{1}{6}} = 22 \times 6 = 132[/tex]
Hence option 4 is correct.
More can be learned about the binomial distribution at https://brainly.com/question/14424710
Answer:
132
Step-by-step explanation: I took the test
Help me please this is due today
[tex]\huge\mathtt\blue{answer}[/tex]
D) 54
Step-by-step explanation:
input f(4) into x
f(x) = x² + 8x + 6
f(4) = (4)² + 8(4) + 6
f(4) = 16 + 32 + 6
f(4) = 54
PLEASE HELP DUE TODAY
Answer:
3.
A. Library (2, 3)
B. Park (8, 2)
C. Market (3, 7)
D. Rec Center (4, 10)
E. Pool (6, 6)
F. Movie Theater (9, 9)
G. Ice Cream Shop (5, 4)
4. A, C, D (and possibly G - see notes below in step-by-step)
Step-by-step explanation:
3.
For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (up the y-axis).
A. Library (2, 3)
B. Park (8, 2)
C. Market (3, 7)
D. Rec Center (4, 10)
E. Pool (6, 6)
F. Movie Theater (9, 9)
G. Ice Cream Shop (5, 4)
4.
True statements: A, C, D
(I don't know it statement G is correct as the text is half missing.
If it says "Point C is 1 unit left and 2 units up from point D" then it is true.
If it says anything else, it is not true
Answer:
Step-by-step explanation:
3.
A. Library (2,3)
B. Park (8,2)
C. Market (3,7)
D. Rec Center (4,10)
E. Pool (6,6)
F. Movie Theater (9,9)
G. Ice Cream Shop (5,4)
4.
A - correct
B - incorrect
C - correct
D - correct
E - incorrect
F - incorrect
Hope this helps!
Which equation correctly shows this statement:
8 times as many as 22? (3 points)
22 ‒ 8 = ________
8 + 22 = ________
22 ÷ 8 = ________
8 x 22 = ________
Answer: the last choice
Step-by-step explanation:
times in the statement indicated multiplication so the answer is D or 8 x 22
22-8=14
8+22=30
22÷8=2.75
8x22=176
Help!!! Use 1st and 2nd differences to determine if the following table of values is linear, quadratic or neither.
Answer:
This would be QUADRATIC
HELP ME ON THIS QUESTION
Answer:
168
Step-by-step explanation:
(11 +17) ×12 /2
28×12 /2
=168
all about formule
Answer:
C. 168ft²
Step-by-step explanation:
area: S = a + b /2 × h
S = 11 + 17 / 2 × 12
S = 28/2 × 12
S = 14 × 12
S = 168
Nancy and Elsa like to ride bikes. The equation m=12h represents the approximate number of miles m Nancy bikes in h hours. The equation m=9h represents the approximate number of miles m Elsa bikes in h hours. How much longer will it take Elsa to bike 72 miles than Nancy?
Answer:
2 hours
Step-by-step explanation:
substitute m = 72 into both equations and solve for h
72 = 12h ( divide both sides by 12 )
6 = h
Takes Nancy 6 hours to cycle 72 miles
72 = 9h ( divide both sides by 9 )
8 = h
Takes Elsa 8 hours to cycle 72 miles
Elsa takes 2 hours longer than Nancy to cycle 72 miles
Answer:
2
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
substitute m = 72 into both equations and solve for h
72 = 12h ( divide both sides by 12 )
6 = h
Takes Nancy 6 hours to cycle 72 miles
72 = 9h ( divide both sides by 9 )
8 = h
Takes Elsa 8 hours to cycle 72 miles
Elsa takes 2 hours longer than Nancy to cycle 72 miles
A wire is attached 35 feet above the ground to a telephone pole. The wire makes an angle of 45° with the ground, as shown below. What is the length of the wire?
Answer:
The length of the wire will be 44.83 feet.
Step-by-step explanation:
From the information given, the wire is attached from the top of a 30 foot telephone pole to a stake in the ground. if the angle formed by the wire and the pole is 48°.
Therefore, the length of the wire will be:
cos 48° = 30/x
x = 30/cos 48°
x = 44.83
The length is 44.83 feet.
Length of the wire is equals to 35√2 feet.
What is angle of elevation?"Angle of elevation is defined as the angle between the horizontal plane and the line drawn through the point of observation."
Formula used
sinθ = (Opposite side) / Hypotenuse
According to the question,
Given,
Length of the pole = 35feet
Angle of elevation = 45°
Length of the wire = Hypotenuse
'l' represents the length of the wire
Substitute the value in the formula we get,
sin 45° = (35 / l )
⇒ (1 / √2) = (35 / l )
⇒l = 35√2 feet
Hence, length of the wire is equals to 35√2 feet.
Learn more about angle of elevation here
https://brainly.com/question/21137209
#SPJ2
Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24
Answer:
Hello i was going to answer this but someone else answered it and i didnt want to write that much lol.
Step-by-step explanation:
https://brainly.com/question/13457391 hope it helps
Yusuf made note of all the bicycles and cars he could see parked or locked on
a certain city block. All the cars had exactly four wheels, and all the bicycles
had exactly two wheels. How many wheels were on the block if there were 13
bicycles and 12 cars? How many wheels were on the block if there were x
bicycles and y cars?
Answer:
74 wheels
Step-by-step explanation:
there would be 74 wheels because 13 * 2 + 12 * 4 = 74
5.(11x* +34x° - 534x² + 454x – 45)+(x² + 4x – 45)
help asap! brainlist will be given!! (geometry)
Answer:
Step-by-step explanation:
smallest: 21
medium: 72
Large: 87
Triangles always add up to 180. Subtract the 87 and 21 from the 180 and you get the missing size.
Have a good day
The point StartRoot x EndRoot is plotted on the number line. A number line going from 9. 8 to 10. 7. StartRoot x EndRoot is plotted slightly to the left of 10. 2. What whole number best approximates the value of x? 100 102 103 104.
Function assigns the value of one set to another. The whole number that best approximates the value of x is 10.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given that the point √x is plotted on the number line. therefore, the value of x is in square root. Now, in order to get a whole number out of this point function, we need the value of x should be such that when it goes through the function the outcome must be a whole number. therefore, let's substitute the value of x in the function,
A.) 100
[tex]\sqrt{x} = \sqrt{100} = 10[/tex]
B.) 102
[tex]\sqrt{x} = \sqrt{102} = 10.099[/tex]
C.) 103
[tex]\sqrt{x} = \sqrt{103} = 10.149[/tex]
D.) 104
[tex]\sqrt{x} = \sqrt{104} = 10.198[/tex]
As we can see, when the value of x is 100, only then the outcome of the point function is a whole number.
Hence, the whole number that best approximates the value of x is 10.
Learn more about Function:
https://brainly.com/question/5245372
Question, what is the best Lofi song to listen to when studying?..
Answer:
boomerang by jojo siwa lol
Step-by-step explanation:
Answer:
Phonky town or Phonk music
Step-by-step explanation:
Jackson’s backpack weighs 734 pounds. After he adds food and water to his backpack, it weighs 1134 pounds. If the water weighs 134 pounds, how much does the food weigh?
Answer: 266 lbs.
Step-by-step explanation:
First, you subtract 734 from 1134 to get 400. Then, you subtract the number of pounds the water weighs from how much the food and water weighs. So you basically do 400 - 134 to get 266.
What percent of 72 is 9?
18%
1 1/4%
12 1/2%
125%
Answer:
The answer is c, 12 1/2% for K12
complex numbers
simplify.
\left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)
Answer:
-5+ 20i
Step-by-step explanation:
just distribute: [tex](\sqrt{-5})(2\sqrt{20}+\sqrt{-5})[/tex]---> [tex](2\sqrt{-100}) -5[/tex] and because 100 is the perfect square of 10 you get -5+20i
it takes me 12 minutes to run 2 kilometers. how long will it take me to run 10000 meters
Answer:
60 minutes
Step-By-Step Explanation:
1. 12/2= 6 (6 minutes per kilometer)
2. 10000/1000= 10 (10000m is 10km)
3. 10*6= 60min
If this helped, please consider picking this answer as the Brainliest Answer. Thank you!
Answer:
60 minutes or 1 hour
Step-by-step explanation:
Time taken to cover the distance of 2 km = 12 minutes
10000m = 10km
Then time taken to cover the distance of 10 km = 5 x 12 = 60 minutes
I have multiplied 12 with 5 because if we multiply 2km with 5 we will get 10km. So, hope you understood my explanation. If not ask me your doubt in comment.
A cube with a volume of 75 cm³ is dilated by a factor of 5. What is the volume of the dilated cube? Enter your answer in the box. Cm³.
Using the concept of dilation the volume of the dilated cube when dilated by a factor of 5 is 9375 cm³.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A cube with a volume of 75 cm³ is dilated by a factor of 5.
The edge of the cube before dilation
Edge³ = 75
Edge = 4.217
The edge after dilation will be
Edge = 5 x 4.217
Edge = 21.08
The volume of the dilate cube will be
Volume = ( Dilated Edge)³
Volume = 9375
The volume of the dilated cube is 9375 cm³.
More about the dilation link is given below.
https://brainly.com/question/8652140
f(x)=x^3 −9x
What is the average rate of change of f over the interval [1,6] ?
Answer:34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 1, 6 ], thus
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8
average rate of change = = = 34
Find the quotient-you must show your thinking to support your answer.
-8 divided by (-2/3)
Answer:
12 (i think)
Step-by-step explanation
What I did is that I made negative 8 (8/1) and switched 2/3 to 3/2 because it's division. I then cross-canceled to get 4/1 and 3/1. After that, I multiplied and got 12/1, which is equal to 12.
Suppose your friend's parents invest $20,000 in an account paying 6% compounded annually. What will the balance be after 5 years?
Step-by-step explanation:
if you invest $20,000 with 6% compounded interest annually over the span of 5 years the interest would be $6,765 with a total of $26,765
85% of £30? I really need help homework is due tomorrow
Answer:
$25.50
Step-by-step explanation:
85% can be written as 0.85
Therefore just multiply it by 0.85 times 30 and you'll get $25.50 dollars.
P(x) = 2x3 – 3x 2 – 23x + 12
Answer:
(2x+1)(x−3)(x+4)
Step-by-step explanation:
What is the product of (x - 5) and (x - 4)? Use the model to find the result. pls put the model answers too.
Answer:
[tex] {x}^{2} - 9x + 20[/tex]
Step-by-step explanation:
[tex](x - 5)(x - 4)[/tex]
[tex]x(x - 4) - 5( x - 4)[/tex]
[tex] {x}^{2} - 4x - 5x + 20[/tex]
[tex] {x}^{2} - 9x + 20[/tex]
What is the difference of 4 3/4 and 4 1/4 in inches?
Answer:
2/4 is answer
Step-by-step explanation:
got it for u
At 3:30 p. M. , Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0. 11 hours 0. 25 hours 0. 88 hours 1. 84 hours.
Answer:
1.84 hours
Step-by-step explanation:
trust me its the right answer
Vrite your definition of square numbers. Square numbers:
Answer:
Square numbers are numbers that have been multiplied by themselves.