Use greatest common factor and the distributive property to write equivalent expressions in factored form. 2 +8
Answer:
2(x+4y)
Step-by-step explanation:
The greatest common factor would be 2. So 2/2 is 1 and then 8/2 is 4. Now if we plug back the variables, you should get 1x and 4y. To put it in distributive property, just put the greatest common factor outside and the variables inside. inside. That's your answer! Hope this helped and have a great dayyyyy!!!!
Isaac wants the equation below to have no solution when the missing number is placed in the box. Box (x + 2) + 2 x = 2 (x + 6) + 4 x Which number should he place in the box?
Answer:
B:4
Step-by-step explanation:
i took the test
Answer :Isaac wants the equation below to have no solution when the missing number is placed in the box.
Box (x + 2) + 2 x = 2 (x + 6) + 4 x
Which number should he place in the box?
2
4 this one
6
8
Step-by-step explanation:
Patty Cake and Jim Nasium are flying a kite. Patty is 200 m away from Jim who is holding the kite. Facing Jim, Patty finds the angle of elevation of the kite is 40 degrees . If the kite string makes an angle of 85 degrees with the ground, find the amount of string let out by Jim.
Answer:
Amount of string let out by Jim will be 156.9 m.
Step-by-step explanation:
Distance between Jim and Patty = 200 m
Angle of elevation of the kite from Jim = 85°
Angle of elevation of the kite from Patty = 40°
Angle between the lines joining Jim and kite and Patty and the kite = 180° - (85 + 40)° = 55°
By applying Sine rule in the triangle formed by the kite, Jim and Patty,
[tex]\frac{\text{sin}55}{200}=\frac{\text{sin}40}{x}[/tex]
x = [tex]\frac{200\times \text{sin}40}{\text{sin55}}[/tex]
x = 156.94
≈ 156.9 m
Therefore, amount of string let out by Jim will be 156.9 m.
Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (-7,-3) C. (-6,-10) D. (6,23)
Answer:
B. (-7,-3)
Step-by-step explanation:
Given the circle: [tex](x + 7)^2 + (y - 10)^2 = 13^2[/tex]
The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.
We now consider the given options.
Option A (5,12)
When x=5, y=12
[tex](5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2[/tex]
Option B (-7,-3)
When x=-7, y=-3
[tex](-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2[/tex]
Option C (-6,-10)
When x=-6, y=-10
[tex](-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2[/tex]
Option D (6,23)
When x=6, y=23
[tex](6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2[/tex]
We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.
The correct option is B.
Solve 9x + 7 = 97 for me please
Answer:
x=10
Step-by-step explanation:
9*10=90+7=97
hope it helps
Answer:
x = 10
Step-by-step explanation:
[tex]9x +7 = 97\\Collect-like-terms\\9x = 97-7\\9x = 90\\Divide-both-sides-of-the-equation-by-9\\\frac{9x}{9} =\frac{90}{9} \\x = 10[/tex]
someone please help me, if i dont turn this in within less than 24 hrs, ill have to repeat my grade. how do i write an equation for the cost of a vacaton? the cost per night is 69$ and im staying for 5 days, it costs 1,079 to get there. PLEASE HELP ME
Brainliest question please help please help me and plz show your work
Answer:
A
Step-by-step explanation:
since the radius is 12, the most the circle expands out towards is 15 for x and 15 for y. (-6,-5) easily fits inside it.
part 1. Please show work. Please assist me with these math problems.
Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784
2) 2,490,924
3) Neither
Step-by-step explanation:
[tex]S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784[/tex]
[tex]\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\[/tex]
Neither
Not arithmetic because the difference between each of the terms is not the same.
S₂ - S₁ S₃ - S₂ S₄ - S₃
3 - 2 = 1 4 - 3 = 1 9 - 4 = 5
Not geometric because the ratios between each of the terms is not the same.
[tex]\dfrac{S_2}{S_1}=\dfrac{S_3}{S_2}\qquad \rightarrow \dfrac{3}{2}=\dfrac{4}{3}\qquad \rightarrow \text{cross multiply to get}: 9\neq 8[/tex]
what is 6 times 12 + 5
Answer:77
Step-by-step explanation:
6*12+5
72+5
77
the answer is simply 77
Please help me it’s geometry
Answer:
(-5,4)
Step-by-step explanation:
A: (5,4)
Reflect it across the y axis would mean you negate the x value
So if you reflect it across the y axis, 5 would become -5
Answer:
B
(-5,4)
Step-by-step explanation:
square 1 (+,+) square 2 (-,+) square 3 (-,-) square 4 (+,-) Find the coordinates is (5,4) but reflect the y-axis so it goes to square 2 where the x-axis turns in to a negative
I need to know how to do the following equation for system of equations (Aka Alegbra) I need to know how to do this: 5x+9y=23 -2X+y=23 I have a test tomorrow so if someone can help me I'd really appreciate it I need a step by step explanations please! Will 100% give brainlist!
Answer:
(-8,7)
Step-by-step explanation:
5x+9y=23
-2x+y=23
Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1
just like -2x+y=23 has the variable 1y
Step 2. solve for y in the second equation
-2x+y=23
+2x +2x
y=2x+23
Step 3. rewrite your equation
5x+9y=23
y=2x+23
Step 4. replace your y variable with the expression you just made
5x+9(2x+23)=23
Step 5. Distribute the 9 and solve
5x+18x+207=23
23x+207=23
23x=-184
x=-8
Step 6. enter your x value into the equation you solved in step one
y=2(-8)+23
y=-16+23
y=7
Step 7. determine if consistent or inconsistent
Because you have a x and y you have an consistent
...you can also graph it
It is worked out that if 3 ladles full of soup are given to each person,
150 people can be fed.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?
Answer:
it is worked out that if 5 ladles full soup are given to each person 300 at a time
Answer:
90 people
Step-by-step explanation:
Let's find the total number of ladels of soup.
1 person ----- 3 ladles
150 people ----- 3 ×150= 450 ladles
The amount of soup cooked does not change. Since now more soup is given to each person, the number of customers fed would decrease.
Number of people fed
= 450 ÷5
= 90
WILL MARK BRAINIEST!!! 35 POINTS!!! The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k? K=1/7 K=-1/7 k = 7 k = −7 Determine the equivalent system for the given system of equations. 4x − 5y = 2 10x − 21y = 10 4x − 5y = 2 3x − y = 4 4x − 5y = 2 24x − 47y = 22 4x − 5y = 2 10x + 3y = 15 4x − 5y = 2 14x + 26y = 12 PLZ SHOW WORK!!! I NEED THE HELP!!!!
Answer:
Step-by-step explanation:
First one is 7, since there is a minus sign by k, shifting the line 0.5x seven units down
the second one is too confusing due to spacing to find the answer
Answer:
the person that answer is correct
Step-by-step explanation:
How to rearrange the Pythagorean theory
Ruiz Creek overflows its banks after 12 centimeters of rainfall. One day rain fell at the rate of 4 centimeters every hour. How much time did people living by Ruiz Creek have to get away from danger?
2 hours
3 hours
4 hours
5 hours
Please assist
Answer:
3 hours
12 (the amount of cm it takes to overflow) divided by 4 (the amount of rainwater that falls in an hour) = 3
The shapes below are drawn on a centimetre grid
show that these shapes have the same area
Answer: See the explanation to understand.
Step-by-step explanation:
Well first off you have to understand the area concept. The area is shown on the grid clearly fir the square, 4cm (2x2). Now it might be a little tricky for the triangle but don’t worry, take it slowly, count the areas of the base of the triangle, the correct answer for that is 2cm so the base of the triangle is 2cm. Now go to highest point of the triangle and count down all the way to the base. The number you should get is 4. So now we know that the base is 2cm and the height is 4cm. Using the triangle Area formula which is base times height divided by two: bh/2 , substituting the values we have 2x4 is 8. 8 divided by two is 4cm. Now we know that the areas are the same by checking using the formula.
Hope this makes sense!
Darcy gave her beauty technician a $5.40 tip. The tip was 12% of the cost of the procedure. Write an equation to find b, the cost of the procedure.
Answer:
Cost of procedure is $45
Step-by-step explanation:
In this question, we are concerned with finding the cost of the procedure, given the tip amount and the percentage of which it is of the procedure cost.
From the question, we are told that the cost of the procedure is b
Mathematically, 12% of b = tip
Thus,
12/100 * b = 5.4
12b = 5.4 * 100
12b = 540
b = 540/12
b = $45
Find the measure of angles X and Y, as well as the values of x and y:
W
52°
(6y – 2)
Х
(4x + 20)°
Y
Value: 10
Angle X measures
degrees.
Angle Y measures
degrees
The value of xis
degrees.
Tha value of y is
degrees.
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other because of this:
6y - 2 = 4x + 20
But we have a problem because we have 2 unknowns.
Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that
52 + 6y - 2 + 4x + 20 = 180.
But we STILL have a problem with those 2 unknowns. BUT...
If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20. We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:
52 + 2(4x + 20) = 180 and
52 + 8x + 40 = 180 and
8x = 88 so
x = 11.
That means that
4(11) + 20 = 64 which is the measure of both angles X and Y.
Let's check:
64 + 64 + 52 better equal 180. And it does, so we're good.
The value of x is found this way:
4x + 20 = 64 and
4x = 44 so
x = 11 which we already knew. Now for y:
6y - 2 = 64 and
6y = 66 and
y = 11 also.
during a practice sash drank 2 1/2 pints of water and on the way home she drank 1/2 cup of water how much water did she drank in total
Answer:
5 1/2 cups
Step-by-step explanation:
1 pint = 2 cups
(2 1/2)(2) = 5
5 + 1/2 = 5 1/2
Choose the graph that represents the following set.
the whole numbers greater than 3
Answer:
The last graph or
Graph C
Step-by-step explanation:
Solve the inequality.
2(4+2x)25x+5
Solve for q qq. 3 ( q + 4 3 ) = 2 3(q+ 3 4 )=23, left parenthesis, q, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, equals, 2
Answer:
q=7
Step-by-step explanation:
3(q +4/3)+2=23
3q+4+2=23
3q+2=23
3q=23-2
q=21/3=7
Answer:
- 2/3
Step-by-step explanation:
on khan academy
Find the distance between (−5, 8) and (6, 8).
Answer:
11
Step-by-step explanation:
Since the y coordinates are the same, the distance is the values between the x coordinates
6 - -5
6+5
11
The right answer is 11 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
What is the interest rate of this? I=160 P= 2000 t= 8 months
Answer:
The interest rate= 12.05%
Step-by-step explanation:
The interest rate= 12.05%. I added the steps down below to help you understand.
Steps:
1: I=$160.67
2: p= $2000
3: t= 8 months = 8/12 = 2/3 years. I=prt
4: 160.67 = 2000.r. 2/3 Substitute
5: 160.67 = 4000/3r Multiply
6: 3/4000 .160.67= 3/4000 . 4000/3r Multiply both sides by 3/4000
The interest rate= 12.05%
Answer: 12.05%
Hope this helps.
Answer:
12%
Step-by-step explanation:
Your equation would be 160=2000xRx2/3 (8 months=2/3
First, multiply 2000x2/3 which equals 1333.33
So now we have 160=1333.33r
Second, divide 160 by 1333.33 which equals 0.1200003
Lastly, move the decimal two spots over to get your percent which is 12%
Hope this helped :)
Daniel has five bags of coloured sweets.
He picks at random a sweet from each bag.
The table shows the probability that the sweet he picks from each bag is red.
Which bag contains only red sweets?
A
B
C
D
E
Define the proper and improper subsets?
Answer: A proper subset is one that contains few elements of the original set whereas an improper subset, contains every element of the original set along with the null set.
Factor the expression below.
25x2 + 30x + 9
(5x - 3)(5x-3)
B. (25x+3)(x+3)
C. (5x+3)(5x + 3)
D. (25x - 3)(x-3).
Answer:
I'm glad you asked!
Step-by-step explanation:
Factor [tex]25x2+30x+9[/tex]
[tex]25x2+30x+9[/tex]
[tex]=(5x+3)(5x+3)[/tex]
Answer:
[tex]=(5x+3)(5x+3)[/tex]
Answer: C. (5x+3)(5x+3)
Step-by-step explanation:
This is assuming this is a quadratic with 25x2 actually being 25x^2
We can start by simplifying the 25 to be 5^2
As well as the 9 to be 3^2
The expression now looks like: [tex]5^{2}x^{2} + 30x + 3^2[/tex]
Now we can apply an exponent rule to the 5^2 x^2
The rule states: [tex]a^{m}b^{m} = (ab)^m[/tex]
So this means: [tex]5^{2}x^{2} = (5x)^2[/tex]
We can now rewrite 30x as 2 * 5x * 3
The expression now looks like: [tex](5x)^{2} + 2 * 5x * 3 + 3^{2}[/tex]
Now this expression matches with the perfect square formula which states:
[tex](a+b)^{2} = a^{2} +2* a * b + b^{2}[/tex]
Our a value is 5x and our b value is 3.
So: [tex](a+b)^{2} = (5x+3)^{2}[/tex]
The answer is (5x+3)(5x+3)
A triangular prism is 4 millimeters long. It has a triangular face with a base of 13 millimeters. The volume of the prism is 416 cubic millimeters. What is the height of its triangular face? Height = millimeters
Answer:
16 millimeters
Step-by-step explanation:
Length of the Triangular Prism=4 millimetersBase Length of One Triangular Face=13 millimeters.Volume of the Prism =416 cubic millimeters.Now:
Volume of a Prism=Base Area X Prism Length
Since we have a triangular base:
Volume of the Prism=(0.5 X Base X Height) X Prism Length
Substituting the given values, we obtain:
416=(0.5 X 13 X Height) X 4
416=26 X Height
Divide both sides by 26
Height of its triangular face=16 millimeters
Answer:
h = 16 mm
Step-by-step explanation:
Th volume of the prism is:
[tex] V = A*l [/tex] (1)
Where:
V. is the volume of the triangular prism = 416 mm³
A. is the area of the prism = ?
l: is the large of the prism = 4 mm
The area of the triangular face of the prism is:
[tex] A = \frac{1}{2}bh [/tex] (2)
Where:
b: is the base of the triangular face = 13 mm
h: is the height of the triangular face = ?
From equation (1) we have:
[tex] V = A*l [/tex]
[tex] A = \frac{V}{l} = \frac{416 mm^{3}}{4 mm} = 104 mm^{2} [/tex]
Now, using equation (2) we can find the height of the triangular face:
[tex] A = \frac{1}{2}bh [/tex]
[tex] h = \frac{2A}{b} = \frac{2*104 mm^{2}}{13 mm} = 16 mm [/tex]
Therefore, the height of the triangular face is 16 mm.
I hope it helps you!
I need help on this question??
Answer:
Not sure what your choices are on the drop-down, but these expressions are equivalent to each other and include all solutions (all real numbers).
Edit:
1--Equivalent
2--29
3--Equivalent
estimate the line of best fit using two points on the line (2,8) (8,5)
Answer:
y= -1/2x +9
Step-by-step explanation:
The line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have two points (2, 8) and (8, 5)
To find the line of best fit using these two points:
[tex]\rm (y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]\rm (y-8)=\frac{5-8}{8-2} (x-2)[/tex]
[tex]\rm (y-8)=-\frac{3}{6} (x-2)\\\\\rm (y-8)=-\frac{1}{2} (x-2)[/tex]
[tex]\rm y = - \frac{1}{2} x +9[/tex]
Thus, the line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
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