Answer:
Mike is 68 and John is 32Step-by-step explanation:
Set equations as follows
20 years ago
Mike was four times as old as John:
x - 20 = 4(y - 20)Four years from now
Mike will be twice as old as John:
x + 4 = 2(y + 4)Simplify each equation
x - 20 = 4y - 80 ⇒ x = 4y - 60x + 4 = 2y + 8 ⇒ x = 2y + 4Solve for y by substitution
4y - 60 = 2y + 44y - 2y = 60 + 42y = 64y = 32Find the value of x
x = 2*32 + 4 ⇒ x = 68I hope you can convert the above equations into required format. Let me know if not.
Easy math 2 pictures
Answer:
Problem 3: 51°
Problem 5: 5 feet
Step-by-step explanation:
Image 1:
We are asked to find the missing angle. First off, we know that the full semi-circle equals 180 degrees. knowing this, subtract the second angle from 180 to get the smaller angle.
180 - 129 = 51
The unkown angle is 51 degrees.
Image 2:
We are asked to find the missing side. Apply the numbers of the known sides to the Pythagorean Theorem.
a² + b² = c²
a² + 12² = 13²
a² + 144 = 169
a² = 25
a = 5
The missing side is 5 feet.
Which list of numbers could be used to name each point plotted on the number line?
A nuimber line goes from 3.45 to 3.6 in increments of 0.01. Blanks are located as follows: above the first tick mark after 3.45, above the second tick mark after 3.45, above the third tick mark after 3.5, and above the first tick mark after 3.55.
Answer:
Step-by-step explanation:
numbers are {3.46,3.47,3.48,3.49,3.50,3.51,3.52,3.53,3.54,3.55,3.56,3.57,3.58,3.59}
SOLVE THE INEQUALITY FOR X - 27 < 12
Answer:
x < 39
Step-by-step explanation:
x - 27 < 12
Add 27 to both sides.
x - 27 + 27 < 12 + 27
x < 39
[tex]\qquad\qquad\huge\underline{{\sf Answer☂}}[/tex]
Let's solve the inequality ~
[tex]\qquad \sf \dashrightarrow \: x - 27 < 12[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 12 + 27[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 39[/tex]
Please help as soon as possible
Answer:
possibly (9, 9) (9, 5) (5, 9)
Find the value of x. Round your answer to the nearest tenth.
how many roots does y=x2-6x+9 have
Answer:
One root ; x = 3
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
y = x² - 6x + 9
x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²
( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3
If radius =5 units and x = 12 units what is the volume of the cylinder
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
It's given that,
radius (r) = 5 unitsheight (x) = 12 unitsNow, according to formula ~
[tex]\qquad \sf \dashrightarrow \: v = \pi {r}^{2}x[/tex]
[tex]\qquad \sf \dashrightarrow \: v = \frac{22}{7} \times {5}^{2} \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: v = \frac{22}{7} \times 25 \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: v = \frac{6600}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:v \approx 942.86 \: \: unit {}^{3} [/tex]
Amanda and her best fiend found some money buried in a field. thay split the money evenly, each getting $24.28. how much money did thay find?
Answer:
48.56
Step-by-step explanation:
We have to multiply 24.28x2 because there are 2 people so if we multiply it we will get the answer 48.56.
4 2/3 divided by 1 1/9
Answer:
4.2 or 21/5
Step-by-step explanation:
i used demos
Answer:
4 1/5
[tex]\frac{14 * 9}{3 * 10} = \frac{126}{30}~which~is~also~4\frac{1}{5}[/tex]
At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?
Let R(x) =X-3/x-4. Solve for R(x) <= 0.
The value of x in the function r(x) = x - 3/x-4 is equal is 3.
To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.
Data;
R(x) = x-3/x-4R(x) = 0What is a Function?A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.
Given that the function R(x) is
[tex]R(x) = \frac{x-3}{x-4}[/tex]
And also, R(x) is equal to 0.
[tex]R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3[/tex]
The value of x in the function is 3.
Learn more on functions here;
https://brainly.com/question/1214333
7.4 Practice
A medicine is effective on 70% of patients.
The table shows 30 randomly generated
numbers from to 999. Use the table to
estimate the probability of the event.
1. The modicine is effective on at least two
of the next three patients.
028837 618 205 984
724 301249 946 925
042 | 113 | 696 985 632
312085 | 997 198 | 398
117 240 853:373 597
606 077 016 012
695
2. The medicine is effective on none
of the next three patients.
Design and use a simulation to find the experimental probability.
3. A bowler hats the headpin 90% of the time that all ten pins are standing.
What is the experimental probability that the bowler hits the headpin
exactly four of the next five times that all ten pins are standing?
The simulation of the medicine and the bowler hat are illustrations of probability
The probability that the medicine is effective on at least two is 0.767The probability that the medicine is effective on none is 0The probability that the bowler hits a headpin 4 out of 5 times is 0.3281The probability that the medicine is effective on at least twoFrom the question,
Numbers 1 to 7 represents the medicine being effective0, 8 and 9 represents the medicine not being effectiveFrom the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two
So, the probability is:
p = 23/30
p = 0.767
Hence, the probability that the medicine is effective on at least two is 0.767
The probability that the medicine is effective on noneFrom the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none
So, the probability is:
p = 0/30
p = 0
Hence, the probability that the medicine is effective on none is 0
The probability a bowler hits a headpinThe probability of hitting a headpin is:
p = 90%
The probability a bowler hits a headpin 4 out of 5 times is:
P(x) = nCx * p^x * (1 - p)^(n - x)
So, we have:
P(4) = 5C4 * (90%)^4 * (1 - 90%)^1
P(4) = 0.3281
Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281
Read more about probabilities at:
https://brainly.com/question/25870256
what is 4 1/8 x 1/4 equal to?
Answer:1.03125
Step-by-step explanation:
When using synthetic division you must switch the signs in the divisor
Correct answer:
True
False
b a dddddddies hmuuuuuuuuuuuu XD
ome friends went to the local movie theater and bought four large buckets of popcorn and six boxes of candy. The total for the snacks was $46.50. The last time you were at the theater, you bought a large bucket of popcorn and a box of candy, and the total was $9.75. How much would 2 large buckets of popcorn and 3 boxes of candy cost?
Type the price of one bucket of popcorn here.
Type the price of one box of candy here.
How much would 2 large buckets of popcorn cost?
How much would 3 boxes of candy cost?
How much would 2 large buckets of popcorn and 3 boxes of candy cost?
Answer:
One bucket of popcorn: 6$
One box of candy: $3.75
2 buckets of popcorn: $12
3 boxes of candy: $11.25
2 buckets of popcorn and 3 boxes of candy: $23.25
Step-by-step explanation:
We can find the cost of one bucket of popcorn and one box of candy using a system of equations
[tex]4P + 6C=46.50\\P + C =9.75[/tex]
We can use the elimination method and thus multiply the second equation by -4:
[tex]4P + 6C = 46.50\\-4(P+C=9.75)\\\\4P + 6C = 46.50\\-4P -4C=-39\\\\2C = 7.5\\\\C = 3.75[/tex]
We can plug C into the second equation to find P:
[tex]P + 3.75 = 9.75\\P = 6[/tex]
Thus, the cost of two buckets of popcorn is 6 * 2 = $12
And the cost of three boxes of candy is 3.75 * 3 = $11.25
And the cost of both two buckets of popcorn and three boxes of candy is (6*2) + (3*3.75) = 12 + 11.25 = $23.25
Find the average of this set of numbers.1, 9, 11, 13, 26
A) 12
B) 13
C) 14
D) none of the above
[tex]\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}[/tex]
[tex]\longrightarrow[/tex]Here, no of observation are 5
Now,
[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{1+9+11+13+26}{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Average = \frac{60}{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Average = 12 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]The Average of given set of numbers is 12 .
[tex]\therefore\: [/tex] Option A) is correct ✔️
What the value of q?
Step-by-step explanation:
again ?
out of the total of 70°, 30° are taken by the first angle.
so, that leaves 70 - 30 = 40° for the second angle.
q = 40°
is there still something unclear about this ? please let me know.
Select all the shapes that are cross sections of a cylinder.
A line
B oval
C triangle
D rectangle
E circle
Step-by-step explanation:
only the circle
as cylinder is neither oval nor triangle not a rectangle..
so cylinder has circle as the cross section
Answer:
This is for a different question but hope this helps too!
Step-by-step explanation:
Help picture below problem 12
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
The fence around Jan's backyard
is 45 feet long and 30 feet wide.
What is the perimeter of the fence?
What is the area of the yard?
Answer:
Perimeter : 150
Area : 1,350
What's the circumference of a circle with a diameter of 7 feet Use 3.14 for pi.
Answer:
21.98
Step-by-step explanation:
Formula for Circumference of a Circle:
C=2πr
1. We find r, which is basically the diameter divided by 2, aka half of the diameter:
d/2 = r
Fill in:
7/2 = r
r = 3.5
2. We fill in the Formula:
C = 2πr
C = 2(3.14)(3.5)
3. Multiply it all
3.14 x 3.5 = 10.99
10.99 x 2 = 21.98
Hence, the circumference of the circle is 21.98.
Two boys, Brady and Quinn, are running a 100 meter race. In the race, Brady beats Quinn by 5 meters.
They decide to race again. To make things fair, in the second race, Brady stands 5 meters behind the
starting line. The two boys run at the same speed as they did in the first racy. Who wins the second race?
Answer:
It states they ran the same speed in the first race so that means only the distance they ran would be different. Thus that means Brady only ran 95 meters instead of 100 meters. If Brady was put 5 meters back that means it will be a tie if they ran at the same speed the entire race.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
It would be a tie. Brady is 5 meters faster then Quinn. So if Brady were to stay behind 5 meters and they ran the same speed as they did before, then it would be a tie.
Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =
Answer:
f(x)= (x-3)^2-3
Step-by-step explanation:
Vertex Form: y= a(x-h)^2+k
a is the reflection
h and k are the vertex so in an ordered pair (x,y) = (h,k)
Since it is translating 3 units down it is going to be a negative 3. If it was translating up it would be positive 3. This represents the "k" because it is moving on the y-axis.
Since it is translating 3 units to the right it is going to be positive 3. If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.
After plugging it into the vertex form formula: f(x)= (x-3)^2-3
*notice when I plugged the "h" in it became negative because x-(3)= x-3*
A European swallow flies about 14 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly
km.
giving brainliest!!!
Answer:
-7
32
Step-by-step explanation:
a)9-16=-7
b)4-10=-6
2∆-6
36-4
32
c) Brett buys 120 chocolate bars for £60 He sells them all, making a 50% profit to give to charity. He sells each bar for the same price. How much does he sell each bar for?
Answer:
I believe he sells each bar for .75 cents
How does Algebra act as a tool to improve communication
It is a tool as it represents the language of patterns.
It is also a means of working with abstract notions and then applying them, which frequently leads to the formation of generalisations and insights outside of the original context.
WARNING: For this high pointed question, we clearly state that if you do not achieve the goal of the inquirer, you will instantly be banned and will NOT be allowed to access our page anymore. Our team must ensure the quality of every answer.)
Question: The time is 1 o'clock. What are the next two times at which the hour and minute hands will be perpendicular?
The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.
When will the hands be perpendicular?The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.
Each hour that the hour hand moves, there is an angle of 30°.
The first time that we will have an angle of 90° between the hands is at:
1:20
Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.
The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.
Answer:
-2.3, 8.6 to the nearest tenth.
Step-by-step explanation:
-16t^2+100t+316=0
Simplify it first.
Divide by -4:
4t^2 - 25t - 79 = 0
Using the quadratic formula:
x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8
= (25 +/- √(1889)) / 8
= 3.125 +/- 43.463/8
= 3.125 +/- 5.433
= -2.308, 8.558
Answer:
quadratic formula normally normally applies in such cases
HELP
explain what the answer is
Answer:10/7 and mixed number form is 1 3/7