Answer:
x = 11
Step-by-step explanation:
5(x+8) = 2x - 7 + 8 (x - 1)
5x + 40 = 2x - 7 + 8x - 8
5x + 40 = 2x + 8x - 7 - 8
5x + 40 = 10x - 15
40 + 15 = 10x - 5x
55 = 5x
5x = 55
x = 55/5
x = 11
x=11
Step-by-step explanation:
5x+40=2x-7+8x-8
5x+40=10x-15
10x-5x=40+15
5x=55
x=55/5
x=11
Suppose that Y and Z are points on the number line.
If YZ=8 and Z lies at 5, where could Y be located?
If there is more than one location, separate them with commas.
Location(s) of Y :
9514 1404 393
Answer:
-3, 13
Step-by-step explanation:
8 units to the left of 5 on the number line is 5-8 = -3.
8 units to the right of 5 on the number line is 5+8 = 13.
The possible locations of Y are -3 or 13.
Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Ravi deposits $3200, how much will he have in the account
after six years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent
x
5
?
the answer is 4160$
After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.
Moneysaver's Bank offers a saving account with the features as,
Rate of interest = 5% annualTime of investment = 6 yearsPrincipal amount = $3200Expression to calculate the final amount when compounded continuously,
Final amount = [tex]P.e^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
By substituting the values in the expression,
Final amount = [tex]3200.e^{0.05\times 6}[/tex]
= 3200(1.3498588)
= 4319.548
≈ $4319.55
Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.
Learn more,
https://brainly.com/question/2141828
(A) use the Pythagorean theorean to determine the length of the unknown side of the triangle
Answer:
a. = 36km
b. Perimeter = 108km
c. Area = 486km^2
Step-by-step explanation:
Pythagoras theorem
a^2 + b^2 = c^2
27^2 + b^2 = 45^2
b^2 = 45^2 - 27^2
b^2 = 1296
b = [tex]\sqrt{1296}[/tex]
b = 36km
Perimeter
a + b + c
27 + 36 + 45 = 108
Perimeter = 108km
Area = [tex]\frac{ab}{2}[/tex]
Area = [tex]\frac{27 * 36}{2}[/tex]
Area = [tex]\frac{972}{2}[/tex]
Area = 486km^2
The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)
Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.
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 [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].
Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.
A similar problem is given at https://brainly.com/question/25606713
Write the equation of the line in fully simplified slope-intercept form.
[tex]y = -\frac{1}{2}x - 1[/tex]
Step-by-step explanation:
Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]
With this value of the slope, we can write the general slope-intercept form of the equation as
[tex]y = -\frac{1}{2}x + b[/tex]
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]
Therefore, the slope-intercept form of the equation is
[tex]y = -\frac{1}{2}x - 1[/tex]
The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?
Answer:
0
Step-by-step explanation:
Because Rory's higher average and Lane's higher average is 96 in Quiz 3.
96-96=0
Dеtеrmіnе tһе domain օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе range іѕ {-3, 9, 15}.
x = -3 ==> 2(-3) + 1 = (-6) + 1 = -5
x = 9 ==> 2(9) + 1 = 18 + 1 = 19
x = 15 ==> 2(15) + 1 = 30 + 1 = 31
Domain = (-5, 19, 31)if 1 dollar equals 0.72p what is the exchange rate from pounds to dollars
Answer:
1 pound = 1.389 dollars ( to nearest thousandth)
Step-by-step explanation:
1 pound = 1/0.72 = 1.388888...
ZA and B are vertical angles. If mZA = (6x – 11)° and m B = (5x + 4)º,
then find the measure of ZB.
9514 1404 393
Answer:
∠B = 79°
Step-by-step explanation:
Vertical angles are congruent, so you have ...
6x -11 = 5x +4
x = 15 . . . . . . . . . . . add 11 -5x to both sides
5x +4 = 5·15 +4 = 79
The angles measure 79°.
_____
Checkk
∠A = 6x -11 = 6·15 -11 = 90 -11 = 79
Write x^2+3x-8 in the form of (x+p) ^2+q
Answer:
(x+1.5)^2 -10.25
Step-by-step explanation:
1)first, we half 3 to give us 1.5
(x+1.5)^2
2)square 1.5=2.25
so far we have (x+1.5)^2 - 2.25 --- the negative sign from 2.25 is part of the formula
3)we subtract 8 from -2.25. the 8 comes from here shown in bold ----- x^2+3x-8
4) (x+1.5)^2 -2.25 - 8
5)simplify the last part by doing -2.25 - 8= -10.25
6)answer is (x+1.5)^2 - 10.25
Need the answer to this pls
Answer:
0
Step-by-step explanation:
1. First, we should know the slope-intercept form of any equation: y = mx + b.
y = y-coordinatem = slopex = x-coordinateb = y-intercept2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.
Additionally, this is a proportional relationship because it follows the format y = kx. Proportional relationships always have a y-intercept of 0.Therefore, the y-intercept is 0.
in which system are the lines parallel ?
What is the quotient of -9 Divided by 3 ?
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\text{\bf Guide to remember}\downarrow\\\large\textsf{2 negatives = positive}\\\large\textsf{1 negative \& 1 positive = negative}\\\large\textsf{2 positives = positve}\\\large\textsf{1 positive \& 1 negative = negative}[/tex]
[tex]\large\text{This means your answer will most likely be a \boxed{\text{negative}} because}\\\large\text{you have a negative number (-9) \& a positive number (3).}[/tex]
[tex]\large\boxed{\mathsf{-9 \div 3}}\\\large\boxed{\mathsf{= \dfrac{-9}{3}}}\\\large\boxed{\mathsf{= \dfrac{-9\div3}{3\div3}}}\\\large\boxed{\mathsf{= \dfrac{-3}{1}}}\\\large\boxed{\mathsf{= -3\div 1}}\\\large\boxed{\mathsf{= -3}}\\\\\\\\\\\huge\boxed{\text{Therefore. your answer is: \boxed{\textsf 3}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]distance from the point to 0, so it can never be
negative.
a. Coordinate plane
b. Opposite
c. Absolute value
d. Quadrant
distance from the point to O, so it can never be negative so answer is
b.oppsite
George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten
Answer: 5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
What is the probability of randomly selecting a month of the year and not getting a month that has fewer than 30 days
Answer
11 out of 12
11/12
Step-by-step explanation:
a line that passes through the point (8, 2) and has the slope -5/2
Answer:
y = -5/2x + 22
Step-by-step explanation:
y = mx + b
2 = -5/2(8) + b
2 = -40/2 + b
2 = -20 + b
22 = b
y = -5/2x + 22
Which of the following describes a similarity between a solid and a gas
Answer:
they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volumehooke’s law states that the extension or elastic string beyond its natural length as the force applied. if a weight of 9 9 pounds attached to s spring causes it to a length of 20 inches?
Answer:
https://brainly.com/question/25709302
Find the length of the missing leg in the following right triangle.
A) 35.5
B) 20
C) 8
D) 400
Please and thank you!
Work Shown:
[tex]a^2 + b^2 = c^2\\\\b^2 = c^2 - a^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{29^2 - 21^2}\\\\b = \sqrt{841-441}\\\\b = \sqrt{400}\\\\b = 20\\\\[/tex]
I applied the pythagorean theorem.
A photograph measures 15 cm by 20 cm. It is made smaller in the ratio 4:5 What are the dimensions of the new photograph?
HELP PLSS !!!!!
Answer:
12cm by 15cm
8cm by 10cm
4cm by 5cm
Step-by-step explanation:
it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer
Answer:
15 cm is the new dimensions of new photograph
Step-by-step explanation:
initial dimension of shorter side = 8 cm
initial dimension of longer side = 10 cm
final dimension ofshorter side = 12 cm
finial dimension of longer side = x cm
The enlargement always ensure the aspect ratio
aspect ratio = lonter side/shorter side
equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]
Solving for x,
10 × 12 = 8 × x
[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]
/\
that says 10 x 12
longer side is 15cm
(Hope this helps can I pls have brainlist (crown)☺️)
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___feet, ___feet, ___feet
then then then
okokokokokokok
HELP ASAP PLZ!!!!!!!!
Step-by-step explanation:
Triangle KLN has 3 equal angles so all sides of it must be equal ( equilateral triangle)
y+3=10
y=7
Triangle LNM has 2 equal angles as in an isosceles triangle so LN= ML
So sides opposite to equal angles must be equal too
x-6=y+3
x-6= 10
x= 16
Only answer this if you know the answer.
Find The nth Term of this number sequence
18, 16, 14, 12
Answer:
The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
First term = 18
Second term = 16
Common difference = 16 - 18 = -2
It should be noted that the formula for finding the next term of an arithmetic sequence will be:
= a + (n - 1)d
= 18 + (n - 1) × -2
= 18 - 2n + 2
= -2n + 20
Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
Step-by-step explanation:
please look at the pic!
The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))
Thus, we have
x | p(x) | xp(x)
3 | 0.14 | 0.42
6 | 0.05 | 0.3
9 | 0.36 | 3.24
12 | 0.35 | 4.2
15 | 0.10 | 1.5
Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66
The last option is correct.
Which shows the expanded form of the number 54.98?
O a. 5x10+4x1+9x1+8 x 10
B. 5 x 10+ 4x1 +9 x 10+ 8 x 100
C 5x 10+4x1+9x to +8 100
10
D. 5 x 1000 + 4 x 100 + 9 x 10 + 8
Last month, Irma’s deliveries consisted of $33,600 in groceries, and she made 140 deliveries of pet supplies. How much does Irma earn in total for the month?
Answer:
If in you little HMH thing it is 4044.8
2logx= log 16 + log 4 find the value of x
Step-by-step explanation:
the rules of logarithm.
log(a×b) = log(a) + log(b)
log(a^b) = b×log(a)
2×log(x) = log(16) + log(4)
now, using the above knowledge :
log(x²) = log(16×4)
=>
x² = 16×4 = 64
x = ±8
and since a logarithm of a negative number is undefined the only plausible solution is
x = 8
the 7th term of a Gp is 192 and it common ratio is 2 find the first term
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]
plz help!!!!!!!!!!!!!!!!
Answer:
C = 50°
Step-by-step explanation:
In the given figure, it tells us which angles are the same. ( You can look at the red marks. )
So, 68 + 62 = 130.
As we all know, the sum of all angles in any triangle is 180.
So, 180 - 130 = 50.
That is Angle C.
I hope it helps.