Answer:
Step-by-step explanation:
Let x be the number.
6 times the number = 6*x = 6x
Sum of 6 times of a number and twelve = 6x + 12
Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]
[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]
[tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]
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System Of Equations:
Solve by substitution:
y = x + 3
7x - y = 3
Group of answer choices
(1 , 4)
(-1 , -4)
(-1 , 4)
(1 , -4)
Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
2. 124 2. 1
tell what theroem you used in each class
Answer:
Vertical Angles Theorem
Step-by-step explanation:
I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2
Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3
Calculate the value of the expression -8 x -3/4
A. 6
B. -6
C. 4
D. -4
E. -7
Answer:
A
Step-by-step explanation:
- 8 × - 3 = 24 ÷4=6
this is the right answer
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15
Answer:
b.
Step-by-step explanation:
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In the same circle or in congruent circles:
Congruent central angles determine, arcs
Congruent central angles determine blank
arcs,
Options. Congruent minor
Distinct minor
Equidistant
Infinitely many
Three
Answer:
congruent minor
Step-by-step explanation:
two congruent circle are corresponding minor
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Look at picture.
Approximate how many times greater Saturn's mass is than Mercury's.
A) 200,000
B) 2,000,000
C) 2,000
D) 20,000
Answer:
2000 times
Step-by-step explanation:
Given
Sara:
[tex]Mercury = 3.302 * 10^{23[/tex]
[tex]Saturn = 5.685 * 10^{26[/tex]
Sam:
[tex]Mercury = 3.302 * 10^{29[/tex]
[tex]Saturn = 5.685 * 10^{32[/tex]
To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:
[tex]Times = \frac{Saturn}{Mercury}[/tex]
Using Sara's measurement; this gives:
[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]
Apply law of indices
[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]
[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]
[tex]Times = 5.685/3.302 * 10^3[/tex]
[tex]Times = 1.72 * 10^3[/tex]
Approximate
[tex]Times = 2 * 10^3[/tex]
[tex]Times = 2000[/tex]
A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer
Answer:
h
Step-by-step explanation:
Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.
Answer:
μd= 1 second
σd= square root (1.25) = √1.25 seconds= 1.1180 seconds
Step-by-step explanation:
Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.
Find the standard deviation of DD
The mean difference is found out by subtracting the individual means.
The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second
The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1
σd = sqrt( σ1² / n1 + σ2 ²/ n2 )
First we calculate the variances.
Variance is the square of the standard deviation.
The variance of Andy =σA²= 1²= 1
The variance of Jim =σJ²= (0.5)²= 0.25
The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds
PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Answer: g it is 2x+21 ansd h is 3x+24
Step-by-step explanation:
PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL MARK BRAINLEIST
Stephanie checked the temperature in her house when she woke up. After 3 3/4 hours, the temperature had increased by 10 1/2 degrees. Assuming that the temperature rose at a constant rate, by how many degrees did the temperature in Stephanie’s house increase each hour?
Which is greater: pi or -3?
Answer:
> -3
Step-by-step explanation:
Pi can be simplified down to 3.14. That is a positive number. -3 is a negative number. Because positive numbers are greater than negative numbers, pi > 3.
Answer:
Pi
Step-by-step explanation:
pie is 3.14 which is a positive number
any positive number is greater than a negative number. pi>-3
If three times a number is increased by 4, the result is -8. Determine the number.
Answer:
Step-by-step explanation:
let the number is x
3x+4=-8
3x=-8-4
3x=-12
x=-4
Find the missing angles of 2 questions.
Answer:
x= - 6
Step-by-step explanation:
[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]
[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]
It takes 77 pounds of seed to completely plant a 10-acre field. How many pounds of seed are needed per acre?
Answer:
7
Step-by-step explanation:
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Answer: A
Step-by-step explanation:
4.1
Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.
Answer:
x=2 and y=0.
Step-by-step explanation:
Answer:
[tex]x=-1,\\y=-1[/tex]
Step-by-step explanation:
We can write the following system of equations as given:
[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].
Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].
Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].
Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]
if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180
Answer:
The answer is 80 :)
Step-by-step explanation:
Which of the following describes a simple event?
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Option D is correct, tossing a coin 3 times is a simple event.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A simple event is a single outcome or result of an experiment or probability experiment.
In option D, the simple event is tossing a coin once and getting either a heads or a tails.
Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).
However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.
In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.
Hence, Option D is correct, tossing a coin 3 times is a simple event.
To learn more on probability click:
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What is the approximate length of the missing side in the triangle below?
13.9 mi.
19.0 mi.
21.3 mi
25.4 mi
Answer:
[tex]21.3\:\mathrm{mi}[/tex]
Step-by-step explanation:
The Law of Cosines is given as the following:
[tex]c^2=a^2+b^2-2ab\cos C[/tex].
Plugging in given values and solving, we get:
[tex]c^2=15^2+18^2-2\cdot 15\cdot 18\cdot \cos 80^{\circ},\\c\approx \fbox{$21.3\:\mathrm{mi}$}[/tex]
Answer:
C: 21.3
Step-by-step explanation:
b = √a2 + c2 - 2ac·cos(B) = 21.33612
HELP!!! WILL GIVE BRAINLIEST!!!
If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.
Answer:
answer: The formula is
(Y2-y1) /(x2-x1)
(3-1)/(5-2)
2/3
Step-by-step explanation:
Have a good day;-)
Kim has a new job. She decided to follow this savings plan: Month Dollars
1 - 65
2 - 72
3 -79
4 - 86
5 93
6 -100
7 - ?
Step-by-step explanation:
For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)
Hence at Month 7, there will be 100 + 7 = 107 dollars.
Answer:
107 dollors
Step-by-step explanation:
For every month, It increase 7 dollars, So it would be 107 bdollors
FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?
Answer:
49
Step-by-step explanation:
50% is basically half so divide 98 by 2
Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4
a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1
Answer:
a
Step-by-step explanation:
if it’s wrong i’ll change it when i’m done with this quiz
The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players
Answer:
0
Step-by-step explanation:
At a camping site, there are 3 yellow canoes for every 5 blue canoes. What percentage of the canoes are blue?
Answer:
60%
Step-by-step explanation:
Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%
= 60%
11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answer: B
Step-by-step explanation:
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
What is the x-intercept of the linear function y = 1/3x +1
Answer:
the x intercept is -3
or (-3,0)
Step-by-step explanation:
the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.
Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.
0=1/3x+1
subtract 1 from both sides
-1=1/3x
multiply by 3
-3=x
Therefore the x intercept is -3.
As a point is (-3,0)
hope this helps!
Please help! I'll mark brainliest!! :)
Answer:
Area = 201 1/4 yard^2
Or in decimal form: 201.25 yard^2
Step-by-step explanation:
First convert the mixed numbers into improper fractions or even decimal form so it is easier to operate with them:
Base = 11 1/2 yards = 23/2 yards = 11.5 yards
Height = 17 1/2 yards = 35/2 yards = 17.5 yards
Use the formula for the area of a parallelogram:
Area = Base x Height
which in our case give:
Area = 23/2 x 35/2 = 805/4 yard^2 = 201 1/4 yard^2
Or in decimal form: 201.25 yard^2