Answer:
[tex]6x + 5 + 4x = 45[/tex]
[tex]10x = 40[/tex]
Step-by-step explanation:
Given
[tex]OP = 6x + 5[/tex]
[tex]PQ = 4x[/tex]
[tex]OQ = 45[/tex]
The given parameters show that P is a point between O and Q.
So:
[tex]OQ = OP + PQ[/tex]
Substitute values for OP, PQ and OQ
[tex]45 = 6x + 5 + 4x[/tex]
[tex]6x + 5 + 4x = 45[/tex] --- This is an equation
Collect Like Terms
[tex]6x + 4x = 45 - 5[/tex]
[tex]10x = 40[/tex] ------ This is another
Make x the subject
[tex]x = \frac{40}{10}[/tex]
[tex]x = 4[/tex]
Hi! can someone simplify this, thank youu
k-6:5 + 4-k:6= 6k-36+20-5k:30 =
k-16:30
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21 cups of soda? Using J for juice and S for soda, how will the equation look?
Answer:
Step-by-step explanation:
4 cups of J for every 7 cups of soda 4:7
21 cups of soda will take 12 cups of J
If you take the 7 and multiply by 3 you get the 21.
So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.
4:7 same as 12:21
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
A small deck of 5 cards consists of 3 red Jards and 2 green cards.
Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 3 times.
Answer:
Approximately [tex]0.19[/tex].
Step-by-step explanation:
The cards were drawn with replacement. Therefore, the probability of drawing a red card will be [tex](3 / 5)[/tex] at every one of the seven draws. The probability of not drawing a red card would be [tex](1 - (3/5)) = (2/5)[/tex].
One way to get three red cards out of the seven draws would be [tex]\verb!red!\; \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!green![/tex]. That corresponds to a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex].
However, there are many other ways to get three red cards during the seven draws. For example:
[tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green![/tex], [tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green![/tex].[tex]\cdots[/tex].[tex]\verb!green!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!red!\; \verb!red![/tex].There are [tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} = 35[/tex] such ways in total to choose three draws out of seven draws.
These ways are mutually-exclusive. Each of these ways has a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex]. The probability for getting a red card on exactly three out of the seven draws would be:
[tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} \, (3/5)^3\, (1 - (3/5))^{7-3} \approx 0.19[/tex].
Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.
Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
HELP ASAP PLEASE :)))
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Answer:
The first one is not. The second one is. The third one is. The fourth one is not. The fifth one is not. The sixth one is.
Step-by-step explanation:
Answer: First one, no? I'm not sure its been a while
Step-by-step explanation:
what is the quotient of 8,187 divided by 24
Answer:
341.125
Step-by-step explanation:
Hope this helped, Have a Great Day!!
El 5% de los focos producidos por una fabrica son defectuosos. Al extraer una muestra de 6 focos. ¿Cual es la probabilidad de que menos de 3 focos sean defectuosos?
Answer:
3/10 no estoy segura pero creo que es esto
12.
Name the coefficients in the expression 4x + 9- y.
9
O
4,9,0
0
4, -1
OR
Answer:
4, 9, and -1
Step-by-step explanation:
Please give me brainliest
Answer:
4x+9-y
The 4 is your coefficient. X and Y are your variables and 9 is your constant.
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55.
How much George pay for his computer in total?
Answer:
£530
Step-by-step explanation:
Answer:
£530
I hope this helps!
PLEASE HELP I WILL MARK YOU BRAINLIEST. FIND THE AREA
Answer:
The family will need to purchase 187 square ft carpeting.
Step-by-step explanation:
Area of Rectangles
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Answer:
17.6 minutes
Step-by-step explanation:
[tex]\frac{4}{5} = \frac{x}{22}[/tex]
[tex]5x=22[/tex]
[tex]x=\frac{22}{5}[/tex]
[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]
what is special about the y coordinate that goes with the x coordinate of 1 on a proportional graph
Answer and Step-by-step explanation:
There is a two-dimensional numbers line in a coordinate plane, which has a horizontal line x-axis, and the vertical line is known as the y-axis. These lines intersect each other at zero points, and they are perpendicular. Zero points are known as the origin. The axes divide the plane into quadrants.
A point in the coordinate plane is of the form of (x, y). This point is named as ordered pair; the first number is from the x coordinate, and the second number from the y coordinate.
To make a graph, we draw a dot, starting from the origin, at the coordinate that communicates to the ordered pair. The y coordinates describe how many steps to move up or down ( positive or negative), and x coordinates tell us to move right or left ( positive or negative).
The completeness property for points describes:
Exactly one point in the plane given the number of ordered pair
And
Exactly one ordered pair of numbers at a given point in the plane.
A relation is ordered pairs; the x coordinates are known as domain, and the y coordinate is known as the range.
The domain contains the value that corresponds to the independent variable and the range equal to the dependent variable.
The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?
Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long
Answer:
33 minutes
Step-by-step explanation:
It would tale her 1.5 min for each page
A stop sign in the shape of a regular octagon is
resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?
Answer:
45°
Step-by-step explanation:
First, find the measure of each interior angle of the octagon.
Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]
Where, n = 8.
Plug in the value of n into the formula
[tex] = \frac{(8 - 2)180}{8} [/tex]
[tex] = \frac{(6)180}{8} [/tex]
[tex] = \frac{1,080}{8} = 135 [/tex]
x = 180 - 135 (straight line theorem.)
x = 45°
What is the difference between 1.37 and 0.52
Answer:
0.85
Step-by-step explanation:
1.37-0.52=0.85
X^3-4x^2+3x+2=0 find all the real values of x
Step-by-step explanation:
The factor of the polynomial is (x-2)
We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor
We therefore equate
x³-4x²+3x+2=(x-2)(ax²+bx+c)+r
x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r
We group terms on the RHS
x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r
By equating the terms on both sides,
ax³=x³,a=1
Next,
b-2a=-4
b-2(1)=-4
b-2=-4
b=-4+2
b=-2
Next,
c-2b=3
c-2(-2)=3
c+4=3
c=-1
Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1
We now find the zeros of x²-2x-1
which are 1+√2 and 1-√2
The values of x are therefore 2,1+√2, and 1-√2
Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)
Answer:
2, 1 +/- sqrt2
or 2, 2.414, -0.414 (correct to the nearest thousandth).
Step-by-step explanation:
Let x = 2: then
f(2) = 8 - 16 + 6 + 2 = 0
So x = 2 is one of the zeros.
So one factor of the function is x-2.
If we divide the function by (x - 2) we get:
x-2)X^3-4x^2+3x+2(x^2-2x-1
x^3- 2x^2
-2x^2+3x
-2x^2+4x
-x+2
-x+2
.......
So x^2-2x-1= 0
x = [-(-2 +/- sqrt(4 - 4*-1)] / 2
x = (2 +/- sqrt8) / 2
= 1 +/-sqrt8/2
= 1 +/- sqrt2
From the sum of -265 and -156 subtract the sum of 356 and -250
pls send with showing how to do the sum
Pls ASAP
Answer:
315
Step-by-step explanation:
The sum of -265 and -156:
-265 + (-156)
= -265-156
= -421
The sum of 356 and -250:
356 + (-250)
= 356-250
= 106
The sum of both:
-421 + 106
= -315
Hope this helped!
Can someone help me with these three math problems pleaseeeeeeeeeee
Answer:
75 should be the answer
Solve: x=4+(4x-4)1/2
Answer:
x = 10
Step-by-step explanation:
x = 4 + (4x-4) ^ (1/2)
First, we rewrite the expression:
x = 4 + (4x-4) ^ (1/2)
x = 2 (2+ (x-1) ^ (1/2))
x = 4 + 2 (x-1) ^ (1/2)
From here we get a solution for x = 10
To check it we substitute x = 10 in the expression:
10 = 4 + 2 (10-1) ^ (1/2)
10 = 4 + 2 (9) ^ (1/2)
10 = 4 + 2 (3)
10 = 4 + 6
10 = 10
Answer:
The solution is:
x = 10
Answer:
C. x = 10
Step-by-step explanation:
edgen 2020
A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?
Answer:
3808
Step-by-step explanation:
9) Solve: a^2+ b^2= c^2 for b
Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
55.5 cents from 51 cents.
Answer:
[tex]\%Change = 8.8\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 51\ cents[/tex]
[tex]Final = 55.5\ cents[/tex]
Required
Determine the percentage change
Percentage change is calculated as;
[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]
[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]
[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]
[tex]\%Change = \frac{450\%}{51}[/tex]
[tex]\%Change = 8.8\%[/tex]
Hence, the percentage change is approximately 8.8%
Which expression is equivalent to 3m+1-m?
A-2+m-1+m
B-1+m
C-3m-1
D-3m
Answer:
A
Step-by-step explanation:
Answer:
option (a) is correct.
2 + m - 1 + m is an equivalent expression to the given expression 3m+1-m
Step-by-step explanation:
Given expression 3m+1-m
We have to choose an equivalent expression from given options.
Equivalent expression are those expression that looks different but are same.
Like 4+2 = 6 and 3+ 3 = 6
Both have same value but looks differently.
Like terms are term having same variable with same degree.
Consider the given expression 3m+1-m
Simplify by adding like terms,
3m + 1 - m = (3-1) m + 1
Thus, (3-1) m + 1 = 2m + 1
Also 2m + 1 can be written as m + m + 2 - 1
Thus, option (a) is correct.
4. Zack went into a frame it yourself shop. He wanted a frame 3-in longer than it was wide. The frame he chose has an area of 18-in squared. What are the dimensions of the length and width of the frame Zach purchased? *
Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
Answer:
No
Step-by-step explanation:
Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse
From the Pythagorean theorem
8^2 = 5^2 + 7^2
64 = 25 + 49
64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths
A sock weighs 1 oz. A shoe weighs 16 oz. how much heavier is the shoe ?
Using a Table of Values to Find a Solution to a System
a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.
x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6
b) Give the solution for the equation:
Answer:
This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.
f(x) = 2.5x -10.5 g(x) = 64(0.5)^x
when x= 2... when x= 2...
f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2
f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16
when x= 3... when x= 3...
f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3
f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8
when x= 4... when x = 4...
f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4
f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4
when x= 5... when x= 5...
f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5
f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2
when x= 6... when x = 6...
f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6
f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1
Let A = (1,2,3,4) and B= (0,1) use the set roster notation,to work each of the following sets and indicate the number of elements that are in each set?
a.A x B
b. bx A
c.A x A
d.B x B
Step-by-step explanation:
A={1,2,3,4}
B={0,1}
now,
a. A×B={1,2,3,4}×{0,1}
={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}
b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}
c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}
d. B×B={(0,0)(0,1)(1,0)(1,1)}
hope it help u..