Solve: 15x - 12 + 7 x + 6 = 60
Answer:
The answer is 3
Step-by-step explanation:
If you combine like terms you get 22x - 6 = 60
Then you set the numbers and x's apart = 22x = 66
Then you divide and get 3
Add
-51 + (-16) -
a : - 67
b : 35
C : 67
D : - 35
teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8
A.20%
B.12%
C.60%
D.72%
please help!
Describe a sequence of transformations that maps Figure A to Figure B.
A. A 270° rotation about the origin, and then a dilation of 2 with center (0,0)
B. A 270° rotation about the origin, and then an expansion of 2 with center (0,0)
C. A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
D. A 90° rotation about the origin, and then a dilation of 2 with center (0,0)
A sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
The correct answer is an option (C)
What is transformation?"It means changing the size and position of an object from its original position to a new position."
What is rotation?"It is a transformation that turns a figure about a fixed."
For given example,
We need to describe the transformation that maps Figure A to Figure B.
First we rotate figure A by 90° about the origin.
We can observe that the size of the figure B is larger than the figure A.
So, after rotation we expand figure A by 2 units.
Therefore, a sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
The correct answer is an option (C)
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A log is 20 m long, correct to the nearest metre.
It has to be cut into fence posts which must be 90 cm long, correct
to the nearest 10 centimetres.
What is the largest number of fence posts that can possibly be cut from the log?
Answer:
222 fence posts
Step-by-step explanation:
Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct to the nearest 10 centimetres, there can be x fence posts 90 cm long.
So, we have x × 90 cm = 20 m
x × 0.9 m = 20 m
x = 20 m/0.9 m
x = 222.22
x ≅ 222 fence posts
So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
Answer:
As the lines are neither parallel nor perpendicular.
Therefore, These lines are neither parallel nor perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the lines
y = 3/2x + 2y = 2/3x + 6y = 3/2x + 2
Finding the slope of y = 3/2x + 2
comparing with the slope-intercept form of the line equation
The slope m₁ = 3/2
y = 2/3x + 6
Finding the slope of y = 2/3x + 6
comparing with the slope-intercept form of the line equation
The slope m₂ = 2/3
So,
m₁ = 3/2
m₂ = 2/3
We know that when two lines are parallel, they have equal slopes
But
m₁ ≠ m₂
3/2 ≠ 2/3
As the m₁ and m₂ are not equal.
Hence, the lines are not parallel.
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = 3/2 × 2/3
= 6/6
= 1
As
m₁ × m₂ ≠ -1
Thus, the lines are not perpendicular.
Conclusion:
As the lines are neither parallel nor perpendicular.
Therefore, These lines are neither parallel nor perpendicular.
The figure below is a net (flat pattern) of a
geometrical solid. The net, when folded on the
dashed lines, makes a right rectangular prism.
The given lengths are in feet. What is x ?
X
6
4.
5
F 3
G. 4
H. 5
J. 6
Answer:
G. 4
Step-by-step explanation:
Most geometrical solids can be unfolded into a flat pattern referred to as a net. This shows each part or surface spread out on an horizontal plane. The folding of the net with respect to the edges produce the initial solid.
From the given diagram,it can be observed that when the net is folded with respect to the edges, it would form a cuboid with x = 4.
What is the correct factorization of x2+6x+8?
Answer:
(x + 2)(x + 4)
Step-by-step explanation:
You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)
Helppppppppppppppppppppppp please.
Answer:
What do you need help with? :P
Step-by-step explanation:
Hav a gud day :3
help pls !ASAP! it a rq question
Express x^2 +12+11 in the form (x+p)^2 +q
Answer:
Assuming you meant x² + 12x + 11, then it would be expressed as:
(x + 6)² - 25
Step-by-step explanation:
The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected. It would just be x² + 33. Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.
x² + 12x + 11
= x² + 12x + 36 - 25
= (x + 6)² - 25
help help help guys show you solution
Answer:
Step-by-step explanation:
1) y = 2x ----------(I)
x + y = 6 -----------(II)
Plug in y =2x in equation (II)
x + 2x = 6 {Add like terms}
3x = 6
x = 6/3
x = 2
Plugin x = 2 in (I)
y = 2*2
y = 4
Check:
LHS = x +y
= 2 + 4
= 6 = RHS
2)5x + 10y = 3 ------------(I)
x = (-1/2) y ------------(II)
Substitute x = (-1/2)y in (I)
[tex]5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}[/tex]
Substitute y = (2/5) in equation (II)
[tex]x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}[/tex]
Check:
Substitute x and y value in equation (I)
[tex]LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS[/tex]
3) y - x = 3x + 2
y = 3x + 2 + x
y = 4x + 2 ---------------(I)
2x + 2y = 14 - y
2x + 2y +y = 14
2x + 3y = 14 ------------------(II)
Substitute y = 4x + 2 in equation (II)
2x + 3(4x +2) = 14
2x + 3*4x + 3*2 = 14
2x + 12x + 6 = 14
14x + 6 = 14
14x = 14 - 6
14x = 8
x = 8/14
x = 4/7
Substitute 'x' value in (I)
[tex]y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}[/tex]
Check:
[tex]LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS[/tex]
please help me on this will give you brainliest
The first common integer that comes to mind is 40, so multiple the numerator and denominator of the left fraction by 4, and the right by 5. This gives us:
36/40 and 35/40, respectively.
Thus, the left fraction is greater than the right fraction
What is the pattern in the infinite sequence below?
–3, –1, 1, 3, 5, ...
Multiply the term number by 2, then subtract 5.
Multiply the term number by 3, then subtract 6.
Multiply the term number by 4, then subtract 7.
Multiply the term number by 5, then subtract 8.
Answer:
A. Multiply the term number by 2, then subtract 5
Step-by-step explanation:
Edge 2021
2) The original price of a scarf was $35. During a store-closing sale, a shopper saved $14 on the scarf. a.) Did the shopper save more or less than 50%? b.) What percentage discount did she receive?
Answer: 35 times 50% is 17.5 so she got a 40% discount because 35 times 40% equals 14
Step-by-step explanation:
You have to do first 35•50% and get your answer and if it’s not the right number then go up or down and I went down 10 and got 14 when I did 35•40%
How many ounces are there in 13.5 pounds? Answer without units.
Answer:
216
Step-by-step explanation:
The cost for fudge at Candy Lane is represented by the table. The graph shows the cost of a similar fudge that Best Fudge Shop sells.
Which is the difference in cost when purchasing 5 pounds of fudge at each store?
Answer:
$16 Dollars
Step-by-step explanation:
Press on the picture
Answer:
bet, I pressed the picture (lol)
Step-by-step explanation:
it's B
378 is what percent of 450?
Show work!
Answer:
84 %
Step-by-step explanation: I also got this question
Step-by-step explanation:
378/450×100
0.84×100
=84%............
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Is there a solution YES OR NO AND WHAT IS THE SOLUTION?
the perimeter of a rectangle is equal to that of a square with the side 13m if thr rectangle is 16m long what is the breadth
Answer:
[tex]2(l + b) = {s }^{2} \\ 2(16 + b) = {13}^{2} \\ 32 + 2b = 169 \\ 2b = 137 \\ b = 68.5[/tex]
A line with a slope of 3/10 passes through the point (10, 3). What is its equation in
slope-intercept form?
Answer:
[tex] y = \frac{3}{10} x[/tex]
Step-by-step explanation:
[tex]y - 3 = \frac{3}{10} (x - 10) \\ \\ y - 3 = \frac{3}{10} x - \frac{3}{10} \times 10 \\ \\y - 3 = \frac{3}{10} x - 3 \\ \\y = \frac{3}{10} x - 3 + 3 \\ \\ y = \frac{3}{10} x + 0 \\ \\ \purple{ \bold{ y = \frac{3}{10} x}} \\ is \: the \: required \: equation[/tex]
Write an equation where a number is multiplied by a variable, and a solution is -4/5
Answer:
5x = -4
Step-by-step explanation:
5x = -4
x would have to be -4/5 because -4 divided by 5 is -4/5.
The equation will be 5x = -4 to get the solution of -4 / 5.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.
The equation will be formed as below:-
5x = -4
x = -4 / 5
Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.
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what represents a line that is parallel to x-4y=16 ???
5. Use the given figure to solve X- Justify each step below.
2x
*+79
Answer:
2x + 79= 0
2x = -79
X = -79/2
X = -39.5
If you earn $40 a year on a $500 investment, what is the annual rate of return?
Answer:
40/500 = 8%
Step-by-step explanation:
40/500 = 8%
So the answer is 8%/year. The question is if the $40 is reinvested, then will the following year's return be 8% of $540 is $43.20? If it were, this would be an example of compound returns is getting interest (or a return) on the previously earned interest. That's an 8% per annum simple yield. You'd be better off finding something that compounded your investment.
The annual rate to return will be 8%.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Simple interest = $40
Principal amount = $500
Time = 1 year
Now,
Since, We know that;
⇒ Simple interest = P R T/100
Substitute all the values, we get;
⇒ $40 = $500 x R x 1 / 100
⇒ $40 × 100 = $500R
⇒ $400/$500 = R
⇒ R = 8%
Thus, The annual rate to return will be 8%.
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PLZ HELP ASAP ILL GIVE BRAINLEST
Answer:
2.25
Step-by-step explanation:
-9/-4= 2.25
I did the work and it's what the person above me said.
HELP! 10 points! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?
Answer:
I believe the answer is 10
Determine which consecutive integers do not have a real zero of f(x) = x3 - 4x2 - 4x+ 15 between them. a (4, 5) c. (2-1) b. (1, 2) d (-3,-2)
Answer: B
Step-by-step explanation: the answer is (0,1)
A supermarket sells 11 different sandwiches, 9 snacks and 5 drinks.
They have an offer: "Buy a sandwich and get either a snack or a drink for free."
How many different meals can you get on the offer?
Answer: There are 154 different meals that you can get with this offer.
Step-by-step explanation:
The total number of combinations will be equal to the product of the numbers of options for each selection.
Here we know that:
"Buy a sandwich and get either a snack or a drink for free."
Then we have two selections:
Sandwich, where we have 11 different types.
Snack or a drink (we can choose only one) there are 9 options for snacks, and 5 options for drinks, then there is a total of 9 + 5 = 14 options.
The total number of different combinations is:
Combinations = 11*14 = 154
There are 154 different meals that you can get on the offer.