Answer:210
Step-by-step explanation:
3 x 280 = 840
840 ÷ 4 = 210
Hello
I will mark you as a brainliest
Please answer my question.....
Solve the following equation:-
6+5 (a-1) = 30
Answer:
29/5 or 5.8
Step-by-step explanation:
6+5(a−1)=30
first it would be good to distribute:
6+5(a-1)=30 -> 6+(5)(a)+(5)(−1)=30 which simplifies to 6+5a+−5=30
at this point it is best to rearrange:
(5a)+(6+−5)=30 which simplifies to 5a+1=30
from then on its a matter of doing opposite operation. at my school we would call this the "equality" method. what you do to one side you do the other.
Observe:
5a+1=30
-1 -1
5a=29
5a/5=29/5
a=29/5 (in decimal it would be like 5.8)
I hope this is helpful!
the algebraic expression for "the quotient of 51 and x" is?
Answer:
51/x
The first number/ variable always goes on top
At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. Which of the following could be the numbers of left-handed and right-handed students at West Junior High?
Choose 2 answers:
A= left-handed: 42
Right-handed: 483
B= lef-handed: 28
Right-handed: 378
C= left-handed: 48
Right-handed: 504
D= left-handed: 56
Right-handed: 560
E: left-handed: 30
Right-handed: 315
Answer:
C. Left-handed: 48, Right-handed: 504
D. Left-handed: 30, Right-handed: 315
Step-by-step explanation:
We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.
Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.
Ratio of right handed to left handed students at East Middle School = [tex]\frac{609}{58} = 10.5[/tex]
Checking for ratios of the given options:
A. [tex]\frac{483}{42} =11.5[/tex]
B. [tex]\frac{378}{28} =13.5[/tex]
C. [tex]\frac{504}{48} =10.5[/tex]
D. [tex]\frac{560}{56} =10[/tex]
E. [tex]\frac{315}{30} =10.5[/tex]
Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.
Answer:
OPTION C.
OPTION E.
Step-by-step explanation:
A relationship is proportional if the ratio between the variables is always the same.
In this case we know that the numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School and there are 58 left-handed students and 609 right-handed students at East Middle School. Therefore, the ratio is:
[tex]ratio=\frac{58}{609}=\frac{2}{21}[/tex]
So, we can check the ratio in each option to know which has ratio [tex]\frac{2}{21}[/tex]:
OPTION A:
[tex]\frac{42}{483}=\frac{2}{23}[/tex]
OPTION B:
[tex]\frac{28}{378}=\frac{2}{27}[/tex]
OPTION C:
[tex]\frac{48}{504}=\frac{2}{21}[/tex]
OPTION D:
[tex]\frac{56}{560}=\frac{1}{10}[/tex]
OPTION E:
[tex]\frac{30}{315}=\frac{2}{21}[/tex]
Therefore, you can observe that the numbers of left-handed and right-handed students at West Junior High could be:
[tex]Left-handed: 48\\Right-handed: 504\\\\\\Left-handed: 30\\Right-handed: 315[/tex]
given the two Fibonacci numbers below, which number would follow? F(14) = 377 and F(15) = 610
Answer:
987.
Step-by-step explanation:
The terms in a Fibonacci series are obtained form the sum of the previous 2 terms. So the next number F(16) = 377 + 610 = 987.
APEX ANSWER: 987
Step-by-step explanation:
377 + 610 = 987
which set represents the domain of function shown? {(-3,6),(0,2),(4,7),(11,15)}
Answer:
{-3,0,4,11}
Step-by-step explanation:
{(-3,6),(0,2),(4,7),(11,15)}
The domain is the input values, or x coordinates
{-3,0,4,11}
The length of a rectangle is three times its width. The perimeter is 160 cm. What is the number of square centimeters in the area of the rectangle?
Answer:
1200 cm²
Step-by-step explanation:
width = x cm
length = 3x cm
perimeter = 160 cm
2(x + 3x) = 160
4x = 160/2
4x = 80
x = 80/4
x = 20 cm - width
length = 3x = 3 · 20 = 60 cm
Area = length · width = 60 · 20 = 1200 cm²
The rectangle's width is 20 cm and its length is 60 cm. Thus, the area of the rectangle is 1200 square centimeters.
Explanation:We are given that the length of a rectangle is three times its width. Let's denote the width as 'w'. Consequently, the length would be '3w'.
The perimeter of a rectangle is given by the formula: 2*(length + width). Given that the perimeter is 160 cm, we can substitute our variables into the formula: 2*(w + 3w) = 160. This simplifies to 8w = 160. Therefore, the width (w) equals 20 cm, and the length is 60 cm (3w).
The area of a rectangle is calculated by multiplying its length and width. Hence, the area of our rectangle is: 60 cm * 20 cm = 1200 square centimeters.
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What is the first step in solving the inequality 2x + 3 ≥ 17?
The first step of solving this inequality is subtracting 3 to both sides. This will cancel 3 from the left side to start isolating x.
2x + 3 - 3 ≥ 17 - 3
2x ≥ 14
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x≥7
Step-by-step explanatio
To solve this problem, subtract 3 from both sides and divide by 2 from both sides.
2x+3-3≥17-3
17-3=14
2x≥14
2x/2≥14/2
14/2=7
x≥7 is the correct answer.
Find the length of KB¯¯¯¯¯¯¯¯+AK¯¯¯¯¯¯¯¯.
A. 28
B. 33
C. 21
D. 35
Intersecting chord rule:
DK x KB = AK x CK
12 x 4x+1 = 14 x 3+3x
Simplify:
48x +12 = 42x +42
Subtract 12 from each side:
48x = 42x + 30
Subtract 42x from each side:
6x = 30
Divide both sides by 6:
x = 5
Now find the length of KB: 4x +1 = 4(5) +1 = 20 +1 = 21
Now add KB and AK:
21 + 14 = 35
The answer is D. 35
The required length of KB(21) + AK(14) is 35. Option D is correct.
The figure is given,
where AK = 14. DK = 12, KB = 4x+1 and KC =3+3x.
KB + AK to be determined.
The ratio can be defined as the relativeness of the fraction of one quantity towards others.
Here,
The ratio of AK: DK = KB:KC
[tex]14/12= 4x+1/3+3x\\14*(3+3x) = 12*(4x+1)\\2+42x = 48x+12\\42-12=48x-42x\\6x= 30\\x = 5[/tex]
Now,
= KA + KB
= 14 + 4x+1
= 14+ 4(5)+1
= 35
Thus, the required length of KB + AK is 35.
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Angles 4 and 5 form what type of angles?
complementary angles
supplementary angles
vertical angles
obtuse angles
Answer:
the answer will be verticle angles
Step-by-step explanation:
∠4 and ∠5 form vertical angles.
What is vertical angles?When two lines intersect each other, then non-adjacent opposite angles are called vertical angles.
Vertical angles are always equal in measurement.
If line AB and CD intersect each other at point O, ∠AOC and ∠BOD are vertical angles, similarly, ∠AOD and ∠BOC are also vertical angles.
Here lines 1 and 2 intersect each other.
So ∠4 and ∠5 are formed which are non-adjacent and opposite also.
Therefore ∠4 and ∠5 form vertical angles.
Learn more about vertical angles
here: https://brainly.com/question/4191966
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Find the value when x=2and y=3 x^-3y^-3
Answer:
4/27
Step-by-step explanation:
x^-3y^-3
Let x=2 and y=3
2^ (2) (3)^-3
2^2 * 1/3^3
4/27
PLEASE HURRY
WILL GIVE BRAINLIEST
Simplify 4(x - 3) - 2x + 9.
Answer:
2x-3
Step-by-step explanation:
4(x - 3) - 2x + 9
Distribute the 4
4x -12 -2x+9
Combine like terms
4x-2x -12+9
2x -3
The system of equations y=-1/2x+4 and y = 2x – 1 is shown on the graph below. According to the graph, what is the solution to this system of equations?
A. (2, 3)
B. (3, 2)
C. (–1, 4)
D. (4, –1)
Answer: You can use a graphing calculator in the future
(2,3)
A
Answer: A(2,3)
Step-by-step explanation:
To solve the system of equations;
y=-1/2x+4 and y = 2x – 1
y=-1/2x+4 ----------(1)
y = 2x – 1 -----------(2)
Lets substitute equation 2 in equation 1
2x - 1 = -1/2x+4
Collect like term
(We move the x variables from the right -hand side of the equation to the right-hand side of the equation to the right-hand-side of the equation and then move the constants to the right-hand side of the equation)
2x + 1/2x = 4 + 1
5x/2 = 5
To get the value of x, we will multiply both-side of the equation by 2/5
5x/2 × 2/5 = 5 × 2/5
(On the left-hand side of the equation, the 5/2 will cancel out the 2/5 leaving us with x and on the right-hand side of the equation 5 will cancel out 5 leaving us with 2)
x = 2
Substitute x =2 in equation (2)
y = 2x - 1
y = 2(2) - 1
y = 4 -1
y =3
The solution to the system of the equations is x=2 and y=3
Therefore the answer is A(2,3)
5(2x-3) in distributive property
Answer:
The answer is (5*2x) - (5*3)
Step-by-step explanation:
You just have to multiply the coefficient by the individual numbers and variables inside the parentheses. :)
Solve for x
(x-4)(x - 4) = 0
Answer:
x=4
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
(x-4)(x-4)=0
if x=4 then 4-4=0
0^(x-4)=
x-4=0
0^0=0
1. If a, b, c, d, and e are whole numbers and a(b(c
+ d) + e) is odd, then which of the following
CANNOT be even?
(A) a
(B) b
(C)c
(D) d
Answer:
a CANNOT be even ⇒ answer A
Step-by-step explanation:
* Lets revise the rules of even and odd numbers
- Even numbers any number its unit digit is (0 , 2 , 4 , 6 , 8)
- Odd numbers any number its unit digit is (1 , 3 , 5 , 7 , 9)
# even + even = even ⇒ 2 + 4 = 6
# odd + odd = even ⇒ 1 + 3 = 4
# odd + even = odd ⇒ 1 + 2 = 3
# even × even = even ⇒ 2 × 4 = 8
# odd × odd = odd
⇒ 3 × 5 = 15
# odd × even = even ⇒ 5 × 6 = 30
∵ a[b(c + d) + e] = odd
∵ odd × odd = odd
∴ a must be odd and [b(c + d) + e] must be odd
∵ odd + even = odd
∵ odd × even = even
# Case 1
∴ b(c + d) must be odd if e even
∵ b(c + d) is odd
∴ b must be odd and (c + d) must be odd
∵ c + d must be odd
∵ odd + even = odd
∴ c or d can be even
- We now now that e , c and d can be even
# case 2
∴ b(c + d) must be even if e odd
∵ b(c + d) is even
∵ even × even = even
∴ b and (c + d) both can be even
∵ c + d can be even
∴ c or d can be even or odd
- We now now that e , c , d and b can be even
∴ Only a can not be even
* a CANNOT be even
Gabe swam 2 hours each day, 5 days each week, for 5 weeks. In that time,gabe swam 1,500 laps. What was his average rate in laps per hour?
Answer:
30 laps per hour
Step-by-step explanation:
The first thing you do is calculate the amount of hours he swam for. Since he swam 2 hours each day, 5 days each week, for 5 weeks we use the equation 2*5*5. The answer is 50. After that what we do is take the amount of laps and divide it by 50. We do 1500 divided by 50 and we get a total of 30 laps per hour.
what is the middle term in the simplified product( x+3) (x-4)
Answer:
The middle term, once simplified is -x
Step-by-step explanation:
( x+3) (x-4)
FOIL
first
x*x = x^2
outer: -4*x = -4x
inner: 3*x = 3x
last: -4*3 = -12
Add them together x^2 -4x+3x-12
x^2 -x +12
What is the slope of the line represented by the equation y = x – 3? –3 3
Answer:
None of then, the slope is 1
Step-by-step explanation:
We have to use the general equation for lines, that is:
[tex]y=mx+b[/tex]
where 'm' is the slope (by comparison)
So, we only need to compare your equation ([tex]y=x-3[/tex]) with the general one.
We can see that m=1, b=-3
So our slope turns out to be equals to 1
QUESTION 3
In the set of ordered pairs {(4, 7), (4, -3), (-5, -9)}, the range is:
{(4, 7), (4, -3), (-5, -9)}
{(7, 4), (-3, 4), (-9, -5)}
{-5, 4}
{-9, -3, 7
The function consists of three points, as shown in the graph below. Determine the range of the function.
graph of three points, (negative 4, negative 2), (2, 1), and (4, 1)
{-4, 2, 4}
{-2, 1}
{-2, 0, 1}
none of these
QUESTION 5
Select the table that represents the following graph.
line through the points (negative 4, 4), (negative 2, 2), (1, negative 1), (3, negative 3), and extends beyond in both directions
x y
-3 2
-1 1
0 -1
2 -3
x y
-4 3
-2 2
1 -2
3 -4
x y
-2 3
0 1
2 -3
4 -5
x y
-4 4
-2 2
1 -1
3 -3
QUESTION 6
Select the table that represents the function. f (x) = x^2 -4x
x y
-1 5
1 -3
2 -4
5 5
x y
-3 -3
-1 0
1 1
2 3
x y
-4 1
-3 2
0 3
2 4
x y
0 -5
1 -3
3 1
4 3
QUESTION 7
Which graph is represented by the following table?
x f(x)
-2 0
0 -4
1 -3
3 5
coordinate graph of a parabola that opens up with minimum at (0, negative 4) and goes through the points (5, 1) and (negative 5, 1)
coordinate graph of a parabola that opens up with minimum at (0, negative 4) and goes through the points (4, 4) and (negative 4, 4)
coordinate graph of a parabola that opens up with minimum at (0, negative 4) and goes through the points (2, 0) and (negative 2, 0)
coordinate graph of a parabola that opens up with minimum at (0, negative 4) and goes through the points (2, 4) and (negative 2, 4)
QUESTION 8
Collette’s Superstore is having a sale on desk lamps. The following graph shows the number of desk lamps left in the store t minutes after opening. How many minutes after opening will the store only have 40 desk lamps remaining?
Graph with t in minutes on the x axis and number of desk lamps remaining on the y axis. Graph shows line hitting points (0, 120), (5, 110), (10, 100), (15, 90), (20, 80), (25, 70), and (30, 60)
30 minutes
35 minutes
40 minutes
45 minutes
3 points
Answer:
see explanation
Step-by-step explanation:
The range is the set of y- values of the ordered pairs without repeats.
3
given
(4, 7), (4, - 3), (- 5, - 9)
Then the values of y are 7, - 3, - 9
hence range is { - 9, - 3, 7 }
For
(- 4, - 2), (2, 1), (4, 1)
Then the values of y are - 2, 1, 1
Hence range is { - 2, 1 }
Which ordered pair is a solution of this equation x-7y=-3
Answer:
-3,0
Step-by-step explanation:
this is the answer hope u like it
Subtract
(6x^2 + 5) - (4x-3)
[tex](6x^2+5)-(4x-3)=6x^2+5-4x+3=6x^2-4x+8[/tex]
ANSWER B
I took the test and that was the correct answer
I need help!!!!
Which represents the inverse of the function f(x)=4x?
Answer:
[tex]h(x)=\frac{1}{4}x[/tex].
Step-by-step explanation:
The inverse is basically you just swapping x and y. People want to solve it for y to make it a function of x.
[tex]y=4x[/tex]
Swap x and y:
[tex]x=4y[/tex]
Now solve for y by dividing y on both sides:
[tex]\frac{x}{4}=y[/tex]
[tex]\frac{1}{4}x=y[/tex]
[tex]y=\frac{1}{4}x[/tex].
(-6,5)
(-3,3)
(0,1)
what are the intercepts
Answer:
(0, 1)Step-by-step explanation:
y-intercept: (0, y)
x-intercept: (x, 0)
Therefore the y-intercept is only (0, 1).
What is the quotient of -13/8 divided by -1/4
Answer:
0.40625
Step-by-step explanation:
Answer:
The answer is 13/2
Step-by-step explanation:
Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form. What is the value of c in her equation?
Answer:
-7
Step-by-step explanation:
Mischa's equation is -x² + 4x - 7 = 0
The standard form is ax² + bx + c = 0
c is the constant term in the quadratic equation.
If we compare terms, we find that c = -7.
Find the area of the image.
See the attached picture:
A car wash had to make their soap last 8 days .If they only have one-seventh of a gallon of soap ，how many should they use each day so it lasts 8 days ？
Answer:
1/56 gallon
Step-by-step explanation:
The car wash has 1/7 gallons of soap and they can use 1/8th of it each day. So, you would set up [tex]\frac{1}{7}[/tex] x [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{56}[/tex].
Should it be facing left or right ?
Answer:
Facing Right
Step-by-step explanation:
Given inequalities are:
4-x≤-1
Subtracting 4 from both sides
4-x-4≤-1-4
-x≤-5
Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality
So,
x≥5
Second Inequality:
2+3x≥17
Subtracting 2 from both sides
2+3x-2≥17-2
3x≥15
Dividing both sides by 3
x≥5
Union of both solutions:
x≥5 ∩ x≥5
=> x≥5
Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..
Points C, D, and G lie on plane X. Points E and F lie on plane Y.Which statements are true? Select three options.
Answer:
2nd , 3rd, & 4th
Step-by-step explanation: