Answer:
13x + 11y
Step-by-step explanation:
3x and 10x both have x so we can add them
5y and 6y both have y so we add 5 and 6
Solveby factoring :
p2 + 8p + 12 = 0
(show steps please)
Answer:
(p + 6)(p + 2)
Step-by-step explanation:
I believe you meant p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.
Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8. Thus,
p^2 + 8p + 12 = 0 = (p + 6)(p + 2)
find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)
Answer:
[tex]d = 14[/tex]
[tex](-2,-1)[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASDistance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
(5, -1)
(-9, -1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-9-5)^2+(-1-(-1))^2}[/tex]Simplify: [tex]d = \sqrt{(-9-5)^2+(-1+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-14)^2+(0)^2}[/tex]Evaluate: [tex]d = \sqrt{196}[/tex]Evaluate: [tex]d = \14[/tex]Step 3: Find Midpoint
Substitute: [tex](\frac{5-9}{2},\frac{-1-1}{2})[/tex]Subtract: [tex](\frac{-4}{2},\frac{-2}{2})[/tex]Divide: [tex](-2,-1)[/tex]
Given that 4x−5y=39
Find y when x=3
Give your answer as an improper fraction in its simplest form.
Answer:
- [tex]\frac{27}{25\\}[/tex]
Step-by-step explanation:
4x−5y=39
for x=3
12 - 5y = 39
-5y = 39 -12
-5y = [tex]\frac{27}{5\\}[/tex]
-y = [tex]\frac{27}{25\\}[/tex]
y = - [tex]\frac{27}{25\\}[/tex] = -1 [tex]\frac{2}{25\\}\\[/tex]
-27/5 or -5 2/5
Step-by-step explanation:
4x-5y=39 while x=3
4(3)-5y=39 add x into bracket
12-5y=39 result of 4*3
12-5y-12=12-39 substrate non variable number to each side
5y = -27 the result from upper substraction
y= -27/5 the result mixed fraction form -5 2/5
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During a basketball practice, Mai attempted 40 free throws and was successful on
25% of them.
How many successful free throws did she make?
The answer
Answer:
10Step-by-step explanation:
Total attempts = 40Successful attempts = 25%Number of successful free throws:
25% of 40 =0.25*40 = 10Three Variables LINEAR EQUATION
Answer:
x= 1, y= -2, z= 5
Step-by-step explanation:
Please see the attached picture for the full solution.
Olivia went to buy shoes at the mall. The shoes cost $55. If tax was 8%, how much did Olivia pay in all? i don't understand it
Answer:
$59.40
Step-by-step explanation:
8% is equal to 0.08
since you are adding the tax to the original cost you will multiply 55 by 1.08 to get the cost of the shoes plus the tax.
Answer:
55 times .8 =44$
Step-by-step explanation:
Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5
Answer:
C. 12
Step-by-step explanation:
Remember 0 to 4 turn it back
5 or above give it a shove.
Since 12.444 is around 0 to 4.
We can round that to 12.
Answer:
C.12
Step-by-step explanation:
Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.
A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green. It is spun twice. What is the probability of getting not green then green?
What is the y-intercept. Describe how you know in both the table and the graph.
Answer:
(4,0)
Step-by-step explanation:
Simplify the given expression using only positive exponents. Then complete the statements that follow. [(X^2y^3)^-1/(x^-2y^2z)^2]^2
The exponent on x is___
The exponent on y is___
The exponent on a is____
Answer:
As
[tex]\:\left(\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right)^2=x^4y^{-14}z^{-4}[/tex]
The exponent on x is 4The exponent on y is -14The exponent on z is -4Step-by-step explanation:
Given the expression
[tex]\left[\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right]^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right)^2=\frac{\left(\left(x^2y^3\right)^{-1}\right)^2}{\left(\left(x^{-2}y^2z\right)^2\right)^2}[/tex]
[tex]=\frac{\left(\left(x^2y^3\right)^{-1}\right)^2}{\left(\left(x^{-2}y^2z\right)^2\right)^2}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}[/tex]
so the expression becomes
[tex]=\frac{\frac{1}{x^4y^6}}{\left(\left(x^{-2}y^2z\right)^2\right)^2}[/tex] ∵ [tex]\left(x^2y^3\right)^{-1}=\frac{1}{x^2y^3}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
so the expression becomes
[tex]=\frac{\frac{1}{x^4y^6}}{\frac{y^8z^4}{x^8}}[/tex] ∵ [tex]\left(x^{-2}y^2z\right)^2=\frac{y^4z^2}{x^4}[/tex]
as
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
so the expression becomes
[tex]=\frac{1\cdot \:x^8}{x^4y^6y^8z^4}[/tex]
[tex]=\frac{x^8}{x^4y^6y^8z^4}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
so the expression becomes
[tex]=\frac{x^{8-4}}{y^8y^6z^4}[/tex]
[tex]=\frac{x^4}{y^8y^6z^4}[/tex]
[tex]=\frac{x^4}{y^{14}z^4}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}[/tex]
so the expression becomes
[tex]=x^4y^{-14}z^{-4}[/tex]
Therefore,
The exponent on x is 4The exponent on y is -14The exponent on z is -4A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
How far is the ship from the port, and what is its bearing?
Distance: 8.6 miles; Bearing: 20.2 degrees West of North.
Distance: 8.6 miles; Bearing: 20.2 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees West of North.
Answer:
C
Step-by-step explanation:
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
What is cosine law?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
This problem is shown in the image. The distance of ship from initial point is,
[tex]c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles[/tex]
The measure of the angle x is,
[tex]\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o[/tex]
Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
Learn more about the law of cosine here;
https://brainly.com/question/4372174
2.1(0.2x−1.4)=1.3(0.4x−3.5)
Answer:
x=9.84375
Step-by-step explanation:
...
Answer:
16.1=x
Step-by-step explanation:
2.1(0.2x-1.4)=1.3(0.4x-3.5) Distribute
0.42x-2.94=0.52x-4.55 Combine like terms
+4.55 +4.55
0.42x+1.61=0.52x
-0.42x -0.42x
1.61=0.1x
0.1 0.1
16.1=x
Which ratio is less than 15 Over 24
A. 1/2
B. 7/8
C. 19/24
D. 6/8
Answer:
A
Step-by-step explanation:
There are screws, nuts and bolts in a tool box. The ratio of the number of
Screws to the number of nuts to the number of boits is 2:3:7. The
difference between the number of nuts and the number of bolts is 112.
Find the number of each item
Answer:
Step-by-step explanation:
56:84:196 would be the answer
Determine if the statement is True or False:
The length of the shorter segment cut by the altitude from the obtuse angle to the longer base of an isosceles trapezoid is equal to the average of the bases.
Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?
Answer:
17 rides
Step-by-step explanation:
30-8=22
22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17
There are 5,000 books in the town's library. Of these, 4,300 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
A. 4,300 = m / 5,000
B. 4,300 = m x 5,000
C. 5,000 = m / 4,300
D. 5,000 = m x 4,300
Answer:
B
Step-by-step explanation:
The percent of the books that are fiction is 86% and the percent equation is 4300=m×5000. Therefore, option B is the correct answer.
Given that, there are 5,000 books in the town's library.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the percent of the books that are fiction be m
So, m= 4300/5000
4300=m×5000
Percentage =4300/5000 ×100
= 86%
The percent of the books that are fiction is 86% and the percent equation is 4300=m×5000. Therefore, option B is the correct answer.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
hello! um what is the equivalent to 3/7?
Answer:
9 goes in the blank
Step-by-step explanation:
Since 21 divided by 7 is 3 then you would have to multiply 3 to the numerator to get the equivalent. Hope this helped :)
Answer:
9/21
Step-by-step explanation:
multiply the numerator and denominator by 3 and you will get 9/21
Find angles in isosceles triangles...
Answer:
68
Step-by-step explanation:
Given is an isosceles triangle, therefore measures angles opposite to equal sides would be equal.
Hence,
56° + 56° + x° = 180°
112° + x° = 180°
x° = 180° - 112°
x° = 68°
x = 68
Answer:
x = 68°Step-by-step explanation:
The triangle is isosceles as two sides have same length
Angles opposite to same sides have same value, therefore two of them equal to 56°
x = 180° - 2*56°x = 180° - 112°x = 68°PLEASE HELP ME! (It's not "B")
Answer:
b is the correct answer
is y= 12 x a proportinal relationship
Answer: yes
Step-by-step explanation:
3
Lee has -£13 in his bank account. Every week he gets paid £45, and
spends £60. How much will Lee have in his bank account after 3 weeks?
Answer:
Lee has -£13 in his bank account.
Every week he gets paid £45, and spends £60.
IN 3 WEEKS
He gets paid --> £45 · 3 = £135
He spends money --> £60 · 3 = £180
£135 - £180 = -£45
He had -£13 initially
He now has --> -£13 - £45 = -£58
AWARDING MORE POINTS question in pic
Answer:
sad
Step-by-step explanation:
Simplify the expression
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]
Plz help me with this question if you can explain plz do also thank you!!
Answer:
The answer is b because h = hours and 45 is the mph
Step-by-step explanation:
Will mark BRAINLIEST!!
3=1/2(x+4)
3=1/2(x+4)
x+4= 3×2
x+4= 6
x=6-4
x=2
The water level of a lake is at 35ft. It is rising at a rate of 3 inches per day. How many days will it take the lake to reach 40 ft?
7) How far away from a 340 foot redwood tree would you need to stand, if the angle of elevation to the top of the tree is 550? Round your answer to the nearest foot.
Answer:
The required distance away from the foot of the tree is 238.0 feet.
Step-by-step explanation:
The height of the redwood tree = 340 feet, and the angle of elevation to its top = [tex]55^{o}[/tex].
let the required distance be represented by x, applying the appropriate trigonometry function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]55^{o}[/tex] = [tex]\frac{340}{x}[/tex]
⇒ x = [tex]\frac{340}{Tan 55^{o} }[/tex]
= [tex]\frac{340}{1.4282}[/tex]
= 238.062
x = 238.0 feet
The required distance away from the foot of the tree is 238.0 feet.
what is 4.9x10^-3 in standard form
Answer:
0.0049
Step-by-step explanation:
Answer: 0.0049
There u go luv, have a nice day :)
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])
