Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.
please help me as fast as possible
Answer:
Skewed Right
Step-by-step explanation:
What is the slope of the line that passes through (5,4) and (7,10)?
A. 3
B. -3
C. 2
D. -2
Answer:
A. 3
Step-by-step explanation:
I just did it on a calculator and got it correct
17 m
17 m
16 m
Find the area of the isoceles triangle.
The area is
square meters.
9514 1404 393
Answer:
120 m²
Step-by-step explanation:
If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...
A = 1/2bh
A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area
__
Alternate solutions
Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...
α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°
Then the area is ...
A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C
A = 1/2sin(α)·17·17 = 120 . . . m²
__
Using Heron's formula:
s = (17 +17 +16)/2 = 25
A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²
__
If you need to, you can compute the triangle's height from the Pythagorean theorem.
a² +b² = c² . . . . generic Pythagorean theorem equation
8² + h² = 17² . . . with relevant values filled in
h² = 289 -64 = 225
h = √225 = 15
Plsssss help it is khan academy!!!
the ratio of hamburgers to hot dogs at the picnic is 25:10. If there are 100 hamburgers how many lunch itemd are there altogether?
Answer:
140 lunch items
Step-by-step explanation:
The unit ratio is 5:2
So if we take that and multiply it by 20 we get 100:40. 100+40 is 140
Answer:
140
Step-by-step explanation:
well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right
How do I do this and what is the answer please help??
Answer:
log3x
Step-by-step explanation:
i think it would be y=log3x
PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .
You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?
3/8 – 2/8 = 1/0
3/8 + 2/8 = 5/8
3/8 – 2/8 = 1/8
3/8 + 2/8 = 5/16
Answer:
B
Step-by-step explanation:
3/8 + 2/8 = 5/8
a pool only open when the temperature is at least 72 degrees. Which inequality represents the temperature t, when the pool is open?
Answer:
t ≥ 72
Step-by-step explanation:
The pool has to be at least 72° or MORE to open, so we are going to have a greater sign with an equal sign under indicating that the temperature has to at least be 72° or be greater than 72°. (≥)
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - X+5 = 0
A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
Learn more about Quadratic Equations here:
https://brainly.com/question/2263981
#SPJ2
find the value of
x!!!!!!!!!!
Answer:
x = 16
Step-by-step explanation:
7x - 12 + 5x = 180
12x = 192
x = 16
Answer:
x = 16
Step-by-step explanation:
180 = (7x-12) + 5x
192 = 12x
16 = x
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
129°
Step-by-step explanation:
the two angles are vertically opposite.
Answer:
angle f= angle g= 129°
Step-by-step explanation:
angle g and f are vertically opposite angles and hece should be equal.
Hope it helps. Please mark as the brainliest.
Plz hurry.....................
Answer:
It should be 115.2 meters^3
Step-by-step explanation:
Volume = 1/3 a^2h
= 1/3 x 12^2 x 2.4
= 115.2 m ^3
If a sample proportion is 0.55, which of the following could be a 90% confidence interval for the population proportion? Select all that apply.
(a) Lower bound: 0.50; Upper bound: 0.60 (b) Lower bound: 0.53; Upper bound: 0.59 (c) Lower bound: 0.52; Upper bound: 0.58 (d) Lower bound: 0.60; Upper bound: 0.70 (e) Lower bound: 0.45; Upper bound: 0.60
Answer:
The correct options are a and c.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.
Sample proportion is 0.55
So options for the confidence interval are:
Lower bound - upper bound
0.54 - 0.56
0.53 - 0.57(which means that option b is wrong)
0.52 - 0.58(which means that option c is right)
...
0.5 - 0.6(which means that option a is right).
The correct options are a and c.
The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C
Hence, the upper and lower boundary would the same error value above and below the mean proportion.
Evaluating the options given :
Error below = 0.50 - 0.55 = -0.05
Error above = 0.60 - 0.55 = 0.05
Error below = 0.53 - 0.55 = -0.02
Error above = 0.59 - 0.55 = 0.04
Error below = 0.52 - 0.55 = -0.03
Error above = 0.58 - 0.55 = 0.03
Error below = 0.60 - 0.55 = 0.05
Error above = 0.70 - 0.55 = 0.15
Error below = 0.45 - 0.55 = -0.10
Error above = 0.60 - 0.55 = 0.05
Therefore, the only options with equal margin of error, above and below the mean are options A and C.
Learn more : https://brainly.com/question/15111061
Find the volume of the cube below.
17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8
Answer:
C.
Step-by-step explanation:
The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.
Two non-congruent circles intersect and have a common chord 40 cm
long. The centers of the circles are 63 cm apart. The radius of one circle is
52 cm. Find the radius of the other circle.
Please include all work and sketch
Answer:
25 cmStep-by-step explanation:
The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.
As we know the long diagonal bisects the shorter one and they are perpendicular.
Using Pythagorean, lets find the distance between the center of a greater circle and the chord:
52² - (40/2)² = 2304 ⇒ √2304 = 48 cmThe distance from the center of smaller circle and the chord is:
63 - 48 = 15 cmNow using Pythagorean again, find the radius of the smaller circle:
15² + (40/2)² = 625 ⇒ √625 = 25 cmWhat amount of fencing (in feet) is needed?
(b)What is the total cost (in dollars) of the fencing if it costs $1.69 per foot?
Which choices are solutions to the following equation? Check all that apply.
x^2- 5x = -9/4
A. X = -1
B. X = 0.5
C. X= 4.5
D. x = 2
Answer:
the choices that are solutions are a and d sorry ic im wrong
Answer:
answer is option B) X=0.5
Step-by-step explanation:
happy to help:)
Write your answer using integers, proper fractions and improper fractions in the simplest form
PLEASE HELP
Answer:
y = ⁷/5x + 13/10
Step-by-step explanation:
Recall: equation in slope-intercept form is given as y = mx + b
Thus, let's rewrite 14x - 10y = -13 in this form.
14x - 10y = -13
Add -14x to both sides
-10y = -14x - 13
Divide both sides by -10
-10y/-10 = -14x/-10 - 13/-10
y = ⁷/5x + 13/10
Given Find the area of figured one area of figure two area of figured three area of figure four area of the whole figure
Answer:
culeous
Step-by-step explanation:
because it gives particular figured area
\
What the person above me said. :)
The first one, second one or third one??!
Answer:
the second one
Step-by-step explanation:
Answer: Second one
Step-by-step explanation: Because when the plus times the minus it will stay minus.
Expand and simplify 3(C - 2d) - 2(2C - 3d).
Answer:
-C
Step-by-step explanation:
3(C - 2d) - 2(2C - 3d).
Distribute
3C - 6d - 4C +6d
Combine like terms
3C -4C -6d +6d
-C
Answer:
-C
Step-by-step explanation:
3(C - 2d) - 2(2C - 3d) =
= 3C - 6d - 4C + 6d
= 3C - 4C - 6d + 6d
= -C
find the distance between the points (-4,5), (-12,5)
Answer:
d = 8
Step-by-step explanation:
For:
(X1, Y1) = (-4, 5)
(X2, Y2) = (-12, 5)
Distance Equation Solution:
d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√
d=(−8)2+(0)2−−−−−−−−−−√
d=64+0−−−−−√
d=6–√4
d=8
Therefore, the distance between (-4,5), (-12,5) is 8.
state the place value of:. (i) 8 in 287
Answer:
80
Step-by-step explanation:
because 8 is in tens place
so it´s value is 8*10=80
what does x and y =??????
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
give me a correct answer, My answer probably wrong.
Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).
[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]
[tex]3y^2dy=x-1dx[/tex]
Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.
[tex]y^3=\frac{1}{2}x^2-x+C[/tex]
Then here, we just solve for [tex]y[/tex] and we have our general solution.
[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
find the measure of the angle theta
Answer:
theta = 48.190
Step-by-step explanation:
Answer: θ = 48.2°
Step-by-step explanation:
The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3
rounded to three significant digits = 48.2°
After 1 year, $1,000 deposited in a savings account with simple interest had earned $30 in interest. What was the interest rate?
Answer:
3%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
30 = (1000)(R)(1)
30 = 1000R
R = 0.03
Multiply by 100 to get the percentage of 3%
please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: -7
Step-by-step explanation: -7 x -7 equals 49
find the measure of the angle theta
Answer:
A. 57.8°
Step-by-step explanation:
Reference angle = θ
Length of hypotenuse = 15
Length of adjacent side = 8
Recall, SOHCAHTOA.
Thus, apply CAH to find θ.
Cos θ = Adj/Hyp
Cos θ = 8/15
θ = Cos^{-1}(8/15)
θ = 57.7690474° = 57.8°