Answer:
x=6
Step-by-step explanation:
This equation requires simplifying. We start with moving like terms to each other:
3 + 9 = 4/3x + 2/3x
After this, add the like terms together:
12 = 6/3x
6/3 will simplify into 2:
12=2x
Finally, divide both sides by 2:
6=x
Solve for q. q/18=5 q=
Answer:
q =90
Step-by-step explanation:
q/18=5
Multiply each side by 18
q/18 * 18=5* 18
q =90
Answer:
q = 90
Step-by-step explanation:
Multiply each side by 18:
q = 90
what is 9 x 34 and explain
Answer:
306. If you multiply 30 and 9 you will get 270, and if you add 4 * 9, which is 36, you will get 306.
Step-by-step explanation:
I hope that helped you out! :)
The Multiplication of 7 and 2 results to 14.
What is Multiplication?
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
We have to multiply 9 x 34.
So, we can split the number 34 as (30 + 4) then
First, 9 x 30 = 270
and, 9 x 4 = 36
Now, add the values
9 x 34
= 270 + 36
= 306
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5. 40% of Sam's collection of 64 cars is new. How many cars are new?
Known:
Unknown:
Equation:
6. 90 out of 20 students liked pizza. What percent of students cid
not like pizza?
Known:
Unknown:
Equation:
Answer:
5. 40% of Sam's collection of 64 cars is new. How many cars are new?
Known: Number of cars.
Unknown: How many cars are new.
Equation: 64*0.4=x x=24.
6. 90 out of 20 students liked pizza. What percent of students did
not like pizza?
Known: number of students
Unknown: percent of students did not like pizza.
Equation: 90*20/20 = 90.
90>20 so 0% did not like pizza.
1. A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight
in water and ate half its weight in food. Which equation can be used to find t, the
combined weight of the water and the food, In ounces, that the hummingbird had on this
day?
O
t - W + 8
2
O
t-w + 8 +
NI
O
t =8w+
2
w
t2w+
8
CLEAR ALL
Answer:
t = 8w + w/2
Step-by-step explanation:
Given that :
Weight of bird = w
Amount of water consumed = 8*w = 8w
Amount of food ate = 0.5*w = 1/2w
Hence, the combined weight of water and food (t) consumed by the humming bird :
t = amount of water consumed + amount of food ate
t = 8w + w/2
N is a multiple of 5
A = N + 1
B = N – 1
Prove, using algebra, that A2 – B2 is always a multiple of 20
Answer:
Proved
[tex]A^2 - B^2 = 20, 40,60,80...[/tex]
Step-by-step explanation:
Given
[tex]A = N + 1[/tex]
[tex]B = N - 1[/tex]
Required
Prove that [tex]A\² - B\²[/tex] is a multiple of 20
First, we need to evaluate [tex]A\² - B\²[/tex]
Start by applying difference of two squares
[tex]A\² - B\² = (A + B)(A - B)[/tex]
Substitute values for A and B
[tex]A\² - B\²= (N + 1 + N - 1)(N + 1 -(N-1))[/tex]
[tex]A\² - B\² = (N + 1 + N - 1)(N + 1 - N + 1)[/tex]
Collect Like Terms
[tex]A\² - B\² = (N + N+ 1 - 1)(N - N + 1+ 1)[/tex]
[tex]A\² - B\² = (2N)(2)[/tex]
[tex]A\² - B\² = 2N*2[/tex]
[tex]A\² - B\² = 4N[/tex]
Since, N is a multiple of 5, then the possible values of N are:
[tex]N = 5, 10, 15, 20...[/tex]
For each of these values, the possible values of [tex]A^2 - B^2[/tex] are
[tex]A^2 - B^2 = 4N: 4 * 5, 4*10,4*15,4*20...[/tex]
[tex]A^2 - B^2 = 20, 40,60,80...[/tex]
The above shows that [tex]A^2 - B^2[/tex] is a multiple of 20
Rainer earns four dollars in rewards for every $75 he spends at the grocery store if he earned $44 in rewards last month how much did he spend at the store
Answer:
dont really know this one sorry:)
Step-by-step explanation:
Which lists ALL the factors of 100?
1, 2, 4, 25, 50, 100
1, 2, 4, 5, 6, 10, 25, 50, 100
1, 2, 4, 5, 10, 20, 25, 50, 100
1, 2, 5, 10, 20, 50, 100
Answer:
the third one
List 3
Step-by-step explanation:
1*100=100
2*50=100
4*25=100
5*20=100
10*10=100
3х - 7 = 41
x = -2 - 21
Answer:-20=41
Step-by-step explanation:
3(-2-21)-7=41
Evaluate: (4x¹⁴)(8x¹¹) *
Answer:
32x^25
Step-by-step explanation:
4x^14*8x^11
#1 Factors Which of these numbers is a factor of 49? a. 9 b. 7 C. 6 d. 5
Answer = b. 7
THANK YOU FOR LISTENING TO MY TED TALK
What is the slope of the line?
Hey there!
the slope of the line is [tex]3[/tex]
Slope is [tex]\frac{rise}{run}[/tex], meaning that the slope is [tex]\frac{3}{1}[/tex] or [tex]3[/tex]
Hope it helps and have a great day!
Are the two triangles congruent
Answer:
the answer is B
Step-by-step explanation:
different sides are marked
Answer:
c.
Step-by-step explanation:
even though that the 2 cides are not congruent to each other, it must be asking for the perimeter of the triangle. we don't know if it is congruent because we do not know the length of the last side.
HELP PLEASE!
I don’t understand polynomial expressions!
Answer:
A: 2x^3 + 3x - 5
Step-by-step explanation:
All of the others have fractions in places where they aren't allowed to.
Answer:
A: 2x^3 + 3x - 5
Step-by-step explanation:
Jack buys a pool with 400 gallons, and it take 8 hours to fill. How many gallons were poured per hour?
Answer:
50 gallons
Step-by-step explanation:
400/8 = 50
Answer:
50 gallons were poured per hour
Step-by-step explanation:
hope this helps
standard form two thousand, fifty seven and eighteen hundredths
Answer:
2,057.18
Step-by-step explanation:
A certain statistic will be used as an unbiased estimator of a parameter. Let R represent the sampling distribution of the estimator for samples of size 35, and let S represent the sampling distribution of the estimator for samples of size 15. Which of the following must be true about R and S?
a. The expected values of R and S will be equal, and the variability of R will be less than the variability of S.
b. The expected values of R and S will be equal, and the variability of R will be equal to the variability of S.
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
d. The expected value of R will be greater than the expected value of S, and the variability of R will be greater than the variability of S.
e. The expected value of R will be greater than the expected value of S, and the variability of R will be less than the variability of S.
Answer:
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
Step-by-step explanation:
This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.
Using the Central Limit Theorem, it is found that the correct option is:
a. The expected values of R and S will be equal, and the variability of R will be less than the variability of S.Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation, measuring variability, of [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. Hence, a higher sample size leads to less variability.In this problem:
The samples are taken from the same population, hence they have the same expected value.Due to the higher sample size, R has less variability.Hence, option A is correct.To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25581475
Helpppppp pleaseeeee
Helpppppp meeee please and thank you
Answer:
-1/3
Step-by-step explanation:
The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the rectangle
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
Area of a rectangle:
A rectangle has width [tex]w[/tex] and length [tex]l[/tex]. The area is the multiplication of these measures, that is:
[tex]A = wl[/tex]
The length of a rectangle is the sum of the width and one.
This means that [tex]l = w+1[/tex], or [tex]w = l - 1[/tex]
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So
[tex]wl = 72[/tex]
[tex](l-1)l = 72[/tex]
[tex]l^2 - l - 72 = 0[/tex]
Quadratic equation with [tex]a = 1, b = -1, c = -72[/tex]. So
[tex]\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289[/tex]
[tex]l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9[/tex]
[tex]l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8[/tex]
Since the length is a positive measure, the length of the rectangle is of 9 units.
A phone company offers two monthly plans. Plan A costs $14 plus an additional $0.15 for each minute of calls. Plan B costs $25 plus an additional $0.13 for each minute of calls.
3. (7.4D) If the original quantity is 20 and the new
quantity is 25, what is the percent change
Answer:
25% increase
Step-by-step explanation:
[tex]\frac{(v_{2}- v_{1}) }{|v_{1}| }x100[/tex]
[tex]\frac{25-20}{|20|}x100[/tex]
=[tex]\frac{5}{20}x100[/tex]
=0.25×100
=25% change
=25% increase
Connor drove 340 miles on 8 gallons of gas. How many miles did his car travel per gallon of gas?
Answer: He drove 42 miles per gallon and remainder 4.
Step-by-step explanation:
What is the value of the element at h32 ? H=⎡⎣⎢615−152923−4752⎤⎦⎥ 23 9 2 75
Answer:
I just got this right...hopefully this helps :)
Step-by-step explanation:
Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
Question 9 options:
A)
22.8°
B)
73.5°
C)
36.1°
D)
66.0°
In the given triangle the measure of ∠Q is (B) 73.5°.
What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.So, let's use the Sine rule in the calculation as follows:
q/sin q = r/sin r15/sin q = 12/sin 50.1 (Cross multiply)12 × sin q = 15 × sin 50.1 (divide both sides by 12)sin q = 15 sin 50.1/12q = sin⁻¹(15 sin 50.1/12) ≈ 73.5° (Rounded off)Therefore, in the given triangle the measure of ∠Q is (B) 73.5°.
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Consider the points below.
P(2, 0, 2), Q(−2, 1, 3), R(4, 2, 4)
(a) Find a nonzero vector orthogonal to the plane through the points
P, Q,
and R.
Answer:
a) The nonzero vector orthogonal to the plane through the points P, Q and R is (0, 10, -10).
b) The area of the triangle PQR is [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The statement is incomplete. The complete question will be presented below:
Consider the points below: P(2, 0, 2), Q(−2, 1, 3), R(4, 2, 4)
(a) Find a nonzero vector orthogonal to the plane through the points
P, Q, and R. (b) Find the area of the triangle PQR.
a) Let [tex]P(x,y,z) = (2,0,2)[/tex], [tex]Q(x,y,z) = (-2,1,3)[/tex] and [tex]R(x,y,z) = (4,2,4)[/tex]. First, we construct vectors PQ and PR by using the following formulas:
[tex]\overrightarrow{PQ} = Q(x,y,z) -P(x,y,z)[/tex] (1)
[tex]\overrightarrow{PQ} = (-2,1,3)-(2,0,2)[/tex]
[tex]\overrightarrow{PQ} = (-4,1,1)[/tex]
[tex]\overrightarrow{PR} = R(x,y,z) -P(x,y,z)[/tex] (2)
[tex]\overrightarrow{PR} = (4,2,4)-(2,0,2)[/tex]
[tex]\overrightarrow{PR} = (2,2,2)[/tex]
Then, we can find the nonzero vector orthogonal to the plane by means of the following cross product:
[tex]\vec S = \overrightarrow{PQ}\,\times\,\overrightarrow{PR}[/tex]
Which can be solved by the following determinant (Law of Sarrus):
[tex]\vec S = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4&1&1\\2&2&2\end{array} \right |[/tex]
[tex]\vec S = (2-2,2+8, -8-2)[/tex]
[tex]\vec S = (0, 10,-10)[/tex]
The nonzero vector orthogonal to the plane through the points P, Q and R is (0, 10, -10).
b) The area of the triangle is determined by the following formula:
[tex]A = \frac{1}{2}\cdot \|\overrightarrow{PQ}\,\times\,\overrightarrow{PR} \|[/tex]
[tex]A = \frac{1}{2}\cdot \|\vec S\|[/tex] (3)
[tex]A = \frac{1}{2}\cdot \sqrt{0^{2}+10^{2}+(-10)^{2}}[/tex]
[tex]A = 5\sqrt{2}[/tex]
The area of the triangle PQR is [tex]5\sqrt{2}[/tex].
Can anyone help me with this thank you :))
Answer:17
Step-by-step explanation:
5w + 2
5(3) + 2
15 + 2
17
plz help me with this math problem
Answer:
[tex]a = 9in[/tex]
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]
[tex]a = \sqrt{112.36 - 31.36} [/tex]
[tex]a = \sqrt{81} [/tex]
[tex]a = 9in[/tex]
a triangle has two angles with measures of 40 degrees and 60 degrees. What is the measure of the third angle?
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
Let the third angle be x.
Add all the quantities and subtract the answer from 180.
So: 180= 40+60+x
180-100=x
80=x
Estimate.
-49/100 + 10/21 = ?
a. -1
b. 0
c. 1
d. 2
20 points! Please help! And hurry!
Answer:
0 (b)
Step-by-step explanation:
So we're estimating in this one.
we can round -49/100 to -50/100 and 10/21 to 10/20
Then we can get a common denominator
10/20 will become 50/100
so
-50/100 + 50/100 = 0
So your answer is b.
Answer:
B. 0
Step-by-step explanation:
-49/100 + 10/21
They are both about half
Therefore, since one is negative and the other is a positive they would equal about .02 which the closest number out of the 4 answers would be B. 0
4. Is the point on the line, yes or no, show all work for full marks.
a) Line: y = 5x -8
Point (1,-3)
b) Line: y = -3x+1
(T2 each)
Point(-2,-7)
someone help!!!
Answer:
a) yes
The point ( 1,-3) lie on the given line y = 5x-8
b) No
The point ( -2,-7) does not lie on the given line y = -3 x +1
Step-by-step explanation:
Step(i):-
a) Given line y = 5 x - 8 ...(i)
Point ( 1, -3 )
substitute ( 1,-3 ) in equation (i)
-3 = 5(1) - 8
-3 = 5 -8
-3 = -3
∴ The point ( 1,-3) lie on the given line y = 5x-8
b)
Given line y = -3 x +1 ...(i)
Point ( -2, -7 )
substitute (-2, -7 ) in equation (i)
-7 = -3(-2) +1
-7 ≠ 7
The point ( -2,-7) does not lie on the given line y = -3 x +1
