Answer:
[tex]\mathbf{x=\frac{1}{2}}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]
The statement is true.
Option A is correct.
Step-by-step explanation:
We need to determine if [tex]x=\frac{1}{2}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]
Solving the equation first to find value of x
[tex]4x+12-8x=-1+2x+10[/tex]
Combining like terms:
[tex]4x-8x+12=2x+10-1\\-4x+12=2x+9[/tex]
Subtracting 2x on both sides
[tex]-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9[/tex]
Now, subtracting 12 on both sides
[tex]-6x+12-12=9-12\\-6x=-3\\[/tex]
Divide both sides by -6
[tex]\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}[/tex]
So, we get [tex]\mathbf{x=\frac{1}{2}}[/tex]
Therefore we can say that [tex]\mathbf{x=\frac{1}{2}}[/tex] is the solution to the equation: [tex]4x+12-8x=-1+2x+10[/tex]
The statement is true.
Option A is correct.
there are 30 students in Ms. jones's class. if 10% of the students are left-handed, how many students are left-handed? explain
Answer:
3
Step-by-step explanation
So, you need to find 10% of 30
10/100 (fraction form of 10%) x 30
of = multiply
10/100 x 30 = 300/100 = 3
Please help! I've been stuck on these questions for awhile!
how do you solve the problem 2247 divided by 7?
Answer:
321
Step-by-step explanation:
2247÷7=321
Answer:
321
Step-by-step explanation:
Shown in picture attached.
The following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 What proportion of the measurements lie in the interval LaTeX: \bar x \pm 2sx
Answer:
0.9
Step-by-step explanation:
Given that data:
x : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27
Mean = Σx / n
Using calculator :
Mean (m) = 13.5
Standard deviation (s) = 6.433
Proportion that lies in mean ± 2s
Lower = Mean - 2s
13.5 - 2(6.433) = 0. 632
Upper = Mean + 2s
13.5 + 2(6.433) = 26.376
Mean ± 2(sd) = (0.632, 26.276)
The only digit from the data which falls outside the defined range = 27
Proportion within interval = 9 / n
Proportion which falls within range = 9/10 = 0.9
Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.
a.5.75 × 10 -11
b.2.938 × 10 6
c.1.738 × 10 10
d.1.738 × 10 6
Answer:
17.38*10^8
Step-by-step explanation:
Step one:
given data
The dividend is 2.26*10^8 (i rewrote the given data, i hope it was mearnt to be so)
divisor is 0.013.
Step two:
Hence the quotient is the whole number gotten when the dividend is divided by the divisor
quotient= 2.26*10^8/0.013.
quotient= 17.38*10^8
Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U .
Answer:
h(x) = x-5 . The domain of h(x) is (- infinity,3) U (3, infinity)
Step-by-step explanation: plato/edmentum
The domain of h(x) is (-∞ , 3 ) ∪ (3,∞) .
What is domain?The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.
According to the question
f(x) = [tex]x^{2}[/tex] − 8x + 15
g(x) = x − 3
h(x) = f(x) ÷ g(x)
i.e,
h(x) = [tex]\frac{ x^{2} -8x + 15}{x-3}[/tex]
now,
x ≠ 3
[tex]h(x) = \frac{(x-5)(x-3)}{(x-3)}[/tex]
so,
Domain or x ∈ (-∞ , 3 ) ∪ (3,∞)
Hence, The domain of h(x) is (-∞ , 3 ) ∪ (3,∞)
To know more about domain here:
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Ken used 1 3/8 cupe of walnuts and 1 3/4 cups of raid in to make trail mix did he make
Answer:
3 1/8
Step-by-step explanation:
Add the 1 3/8 cups of walnuts to the 1 3/4 cups of raisins. You will have to make your denominators the same to add the fraction.
1 3/8. 1 3/8
+1 3/4. 3 x 2 = 6. +1 6/8
_____ 4 x 2 = 8. ______
2 9/8 reduce 3 1/8
Which statements are correct?
Answer:
Point F and Point D
Hope this helps!!
Allen weighs 44 kg. Miller weighs half as much as Allen, and James weighs 3 kg more than Miller.
What is their weight all together?
Answer:
91
Step-by-step explanation:
Please help me with this question
9514 1404 393
Answer:
A∪B = (-7, -2)
Step-by-step explanation:
It can be helpful to draw a picture. It shows that set B is completely contained within set A, so the union of the two sets is simply set A.
A∪B = (-7, -2)
What number is 7 units to the left of -1?
8
6
-8
-6
Answer:
7 units to the left is -6
Step-by-step explanation:
your counting back wards but its not a neg. its positive so the answer is 6
-8
Step-by-step explanation:
7 units to the left is -8
reason is because if you count backwards 7 from -1 you hit -8
-1+-7=-8
I need help please it so confusing can somebody anyone break it down
Answer:
[tex]a=\sqrt{63}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in tho find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+9^2=12^2\\a^2+81=144\\a^2=63\\\sqrt{a^2}=\sqrt{63}[/tex]
So a would equal whatever the square root of 63 is.
There are 44 students in the band . If eleven of them own their own instrument, what percent do NOT own their own instrument?
Answer:
75%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
You can tell since it is 11/44 as a fraction and if there are 4 11's, it will be 44 and a percent that is equal to 100 but has four "places" is 25%
p2-q2=7 and p-q=2. Find the value of p + q.
Answer:
p + q = 13/4
Step-by-step explanation:
p² - q² = 7
p - q = 2
Use substitution.
p = 2 + q
(2 + q)² - q² = 7
Expand (2 + q)² with FOIL - first, outer, inner, last
(2 + q)(2 + q)
4 + 2q + 2q + q²
4 + 4q + q²
Subtract q².
4 + 4q + q² - q² = 7
4 + 4q = 7
Combine like-terms.
4q = 3
Divide by 4 to isolate q.
q = 3/4
Plug q into the equation to find p.
p - q = 2
p - (3/4) = 2
Add 3/4 to both sides.
p = 11/4
Add p and q.
11/4 + 3/4
= 13/4
What is an equation of the line that passes through the point (-4,-6)and is
paralel to the line 2x-y=6
Answer:
Step-by-step explanation:
2x - 7y = -6.
What is the scientific notation of 0.000000000012
Answer:
1.2x10^-11
You never start with a zero so you move the decimal 11 spots the right which makes it negative
What is the distance between the points (-1, 8) and (5, 8) in the coordinate plane?
Find the missing angle
Explain the pattern that you notice when dividing by 10, 100, and 1,000
Answer:
when you divide by 100 it is .1 but when you divide by 1000 it is .01 so every time you divide you move the decimal up by one
I hope this helps:
Solve the inequalities by graphing. Identify the graph that shows the following equations.
3x – 2y <1
y > 3
Answer:
its 9
Step-by-step explanation:
Wwhich expression has the greatest value when x=3?
A) 2x^3
B) 2x^3 + 5
C) (2x)^3
D) (x-1)^3
Answer:
C!
a=54
b=59
c=216
d=8
Step-by-step explanation:
Marco bought a 64 ounce bag of popcorn.
He ate 5% of the bag with his lunch. How
much popcorn did he eat at lunch?
Answer:
3.2 ounces.
Step-by-step explanation:
Divide 5 percent by One Hundred,
5/100 = 0.05
Multiply 0.05 by 64
0.05x64= 3.2
Answer:
3.2
Step-by-step explanation:
Find 5% of 64
10% = 6.4 (64 divided by 10)
5% = 6.4÷2= 3.2
268 = n = 0.268
n=
What is the value of n
Answer:
Simplifying
268 + n = 0.268
Solving
268 + n = 0.268
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-268' to each side of the equation.
268 + -268 + n = 0.268 + -268
Combine like terms: 268 + -268 = 0
0 + n = 0.268 + -268
n = 0.268 + -268
Combine like terms: 0.268 + -268 = -267.732
n = -267.732
Simplifying
n = -267.732
Step-by-step explanation:
Which equation represents the graph shown?
A.) y=x
—
35
B.) y=x-35
C.) y=x+35
D.) y=35x
A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?
The equation –3y = 15 – 4x rewritten in slope-intercept form is
.
The y-intercept is
and the slope of the line is
.
Line
is the graph of the line –3y = 15 – 4x.
Answer:
Step-by-step explanation:
Line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
What is a Line??
A line can be defined by the shortest distance between two points is called as a line.
Given the expression of the line,
–3y = 15 – 4x
Now by putting every given point of the lines given with their passing points in –3y = 15 – 4x , it is found that point (3.75, 0) and (0, -5) lies on the line.
Hence, the expression –3y = 15 – 4x represents line B.
Now, the slope and y-intercept of the equation.
Rearrange the equation into standard form,
y = 4/3 x - 5
Now compare the above equation with the standard form line
y = mx +c
m = 4/3 and c = -5
Thus, line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.
Learn more about lines here:
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njhgfdszdfghjkllllllklklk
Answer:
dfgfgyhjfyhujlkmnjhg lol-
Step-by-step explanation:
Using the formula A = 6s2, solve when s = 2?
Answer:
When s=2, A=24
Step-by-step explanation:
We are given the formula [tex]A = 6s^2[/tex]
We need to solve and find value of A , when s=2
So, putting value of s in the given formula we can find value of A
The formula given is:
[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]
So, by putting s= 2, We get A=24
If Brenda has 10 math problems to solve and she can solve one math problem per minute how long will it take her to solve all 10 problems
A glacier in Alaska moves about 29.1 meters a day. About how much farther will it move in 1,000 days than it will move in 100 days?
Answer:
26190 meters
Step-by-step explanation:
The distance moved by a glacier = 29.1 meter per day
For 100 days, the distance moved = 29.1 meter per day * 100 days = 2910 meters
For 1000 days, the distance moved = 29.1 meter per day * 1000 days = 29100 meters
Therefore the distance farther it move in 1,000 days than it will move in 100 days = distance moved in 1000 days - distance moved in 100 days
farther distance = 29100 meters - 2910 meters = 26190 meters
We will find that the glacier moves 10 times more in 1,000 days than in 100 days.
We know that the glacier moves about 29.1 meters per day.
Then we need to find how much it moves in 1,000 days and in 100 days, we will get:
In 1,000 days it moves: (29.1 meters/day)*1,000 days = 29,100 metersin 100 days it moves: (29.1 meters/day)*100 days = 2,910 meters.To find how much farter the glacier moves in 1,000 days than in 100 days we need to take the quotient between the above two distances:
29,100 meters/2,910 meters = 10
So the glacier moves 10 times more in 1,000 days than in 100 days.
If you want to learn more about quotients, you can read:
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Luis rides his bicycle 3/4 mile in 5 minutes along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.
Answer: 3 mph.
Because....
3/4 of a mile is 0.75 miles.
0.75 miles = 15 minutes
X = 15 * 1 / 0.75
X = 20 minutes takes a mile to travel
20 minutes = 1 mile
60 minutes = X
Clearing X would give:
X = 60/20
X = 3 miles per hour.
Luis rides 3 miles per hour.
* Hopefully this helps:) Mark me the brainliest!!!
