Answer:
Step-by-step explanation:
making all terms have a common denominator of 12
(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out
3(2x-3)+2(2x-5)=6
6x-9+4x-10=6
10x-19=6
10x=25
x=2.5
12(a – 2) = 14 + 3(2b – 1)
5(a + 1) + 2(1 – 2b) = 14
solve with elimantion?
Answer:
(a,b) = (49/9 , 91/18)
Step-by-step explanation:
12a-6b=35
5a-4b=7
multiply both sides
-24+12b= -70
15a-12b=21
elimiate one varibable by adding the equations
-9a= -49
divide both sides
a=49/9
subsitite the value of a
5*49/9-4b=7
solve the equation
b=91/18
a possible solution is
(a,b) = (49/9 , 91/18)
Check it if you want but yeah
A ladder is standing on horizontal ground and rests against a vertical
wall. The ladder is 4.5 m long and its foot is 1.6 m from the wall.
Calculate how far up the wall the ladder will reach. Round your
answer to three decimal places. (Show your working)
Answer:
I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one
Step-by-step explanation:
PLS HELP TEXT ILL GIVE BRAINLIEST
Answer:
a = -15
Step-by-step explanation:
multiply both sides by 3, then you get a = -15
Answer:
a= -15 for the first one and b= -1 for the 2nd one
Step-by-step explanation:
A B C OR D SOMEONE HELP
Answer:
B
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.
Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.
I hope this helps!
To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1
Answer:
D
Step-by-step explanation:
2y=10x
Divide both sides by 2.
y=5x
Now substitute this into the second equation.
Answer:
b. [tex]x^2/64 - 5y^2/36=1[/tex]
Step-by-step explanation: a p e x
(Urgent) Worth 10 points 7.3
Answer:
[tex] 2228 \: {ft}^{2} [/tex]
Step-by-step explanation:
Required flooring cover
= Area of the school playground
= Area of square with side 40 ft + Area of semicircle with radius (40/2) i.e. 20 ft
[tex] = {(40)}^{2} + \frac{1}{2} \times 3.14 \times {(20)}^{2} \\ \\ = 1600 + \frac{1}{2} \times 3.14 \times 400 \\ \\ = 1600 + 3.14 \times 200 \\ \\ = 1600 + 628 \\ \\ = 2228 \: {ft}^{2} [/tex]
DA is tangent to the circle at A and DC is tangent to the circle at C. Find m
Answer:
D
Step-by-step explanation:
m angle b equals 77 now we have to find the arc of andle b.
so use the equation arc AC = 2(77)
arcAC = 154
360 - 154
=206
206/2
= 103
What number should go in the space?
Multiplying by 0.25 is the same as decreasing by
%.
Answer:
75% hope this helps, this can be proven by using 100 as a tester
Answer:
75%
Step-by-step explanation:
(number) x 0.25 = 0.25(number)
0.25(number) = 25% (number)
(number) - 75% = 25% (number)
what is bigger 1 yard or 35 inches
Answer:
Step-by-step explanation:
1 yard has 3 feet
1 foot has 12 inches
3 feet have 3 * 12 = 36
36 is greater than 35
1 yard is greater than 35 inches.
giving BRAINLIEST for the correct answer !!
Answer:
x<4
Step-by-step explanation:
About Prove each of the following statements using mathematical induction. (a) Prove that for any positive integer n, 4 evenly divides 32n-1. (b) Prove that for any positive integer n, 6 evenly divides 7n - 1. (c) Prove that for any positive integer n, 4 evenly divides 11n - 7n. (d) Prove that for any positive integer n, 7 evenly divides 9n - 2n.
Answer:
(a) [tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]
(b) [tex]7^{k+1} - 1 = 6(7k + 1)[/tex]
(c) [tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]
(d) [tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]
Step-by-step explanation:
Solving (a): For integer [tex]n[/tex], 4 divides [tex]3^{2n} - 1[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{3^{2k}- 1}{4} = k[/tex]
Multiply through by 4
[tex]3^{2k} - 1 = 4k[/tex]
[tex]9^k - 1 = 4k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]3^{2{k+1}} - 1[/tex]
[tex]3^{2{k+1}} - 1 = 9^{{k+1}} - 1[/tex]
[tex]3^{2{k+1}} - 1 = 9^{k} * 9^1 - 1[/tex]
[tex]3^{2{k+1}} - 1 = 9^k * 9 - 1[/tex]
Express -1 as - 9 + 8
[tex]3^{2{k+1}} - 1 = 9^k * 9 - 9 + 8[/tex]
Factorize:
[tex]3^{2{k+1}} - 1 = 9(9^k - 1) + 8[/tex]
Recall that: [tex]9^k - 1 = 4k[/tex]
So, we have:
[tex]3^{2{k+1}} - 1 = 9*4k + 8[/tex]
Factorize
[tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
Solving (b): For integer [tex]n[/tex], 6 divides [tex]7^n - 1[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{7^k - 1}{6} = k[/tex]
Multiply through by 6
[tex]7^k - 1 = 6k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]7^{k+1} - 1[/tex]
[tex]7^{k+1} - 1 = 7^k * 7^1 - 1[/tex]
[tex]7^{k+1} - 1 = 7^k * 7 - 1[/tex]
Express -1 as - 7 + 6
[tex]7^{k+1} - 1 = 7^k * 7 - 7 + 6[/tex]
Factorize:
[tex]7^{k+1} - 1 = 7(7^k - 1) + 6[/tex]
Recall that: [tex]7^k - 1 = 6k[/tex]
So, we have:
[tex]7^{k+1} - 1 = 7(6k) + 6[/tex]
Factorize
[tex]7^{k+1} - 1 = 6(7k + 1)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
Solving (c): For integer [tex]n[/tex], 4 divides [tex]11n - 7n[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{11k - 7k}{4} = k[/tex]
Multiply through by 4
[tex]11k - 7k = 4k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]11(k + 1) - 7(k + 1)[/tex]
[tex]11(k + 1) - 7(k + 1) = 11k + 11 - 7k - 7[/tex]
Collect Like Terms
[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 11 - 7[/tex]
[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 4[/tex]
Recall that: [tex]11k - 7k = 4k[/tex]
So, we have:
[tex]11(k + 1) - 7(k + 1) = 4k + 4[/tex]
Factorize
[tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
Solving (d): For integer [tex]n[/tex], 7 divides [tex]9n - 2n[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{9k - 2k}{7} = k[/tex]
Multiply through by 7
[tex]9k - 2k = 7k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]9(k+1) - 2(k+1)[/tex]
[tex]9(k+1) - 2(k+1) = 9k+9 - 2k-2[/tex]
Collect Like Terms
[tex]9(k+1) - 2(k+1) = 9k- 2k+9 -2[/tex]
[tex]9(k+1) - 2(k+1) = 9k- 2k+7[/tex]
Recall that: [tex]9k - 2k = 7k[/tex]
So, we have:
[tex]9(k+1) - 2(k+1) = 7k+7[/tex]
Factorize
[tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
the slide at the playground has a height of 6 feet. the base of the slide measured on the ground is 8 feet. what is the length of the slide?
Answer: 10 feet
Step-by-step explanation:
The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).
Which is an equation in terms of x and y for this function?
y = 12x + 10
y = 23x + 9
y = 32x + 8
y = 2x + 7
Answer:
y=12x+10
Step-by-step explanation:
hope this helps sorry if I'm wrong
Your weight on Mars varies
directly with your weight on
Earth. A person weighing 125 lb on
Earth weighs 47.25 lb on Mars,
since Mars has less gravity. If
you weigh 155 lb on Earth, how
much will you weigh on Mars
rounded to the nearest pound?
Answer:
w=58.59
Step-by-step explanation:
47.25/125=w/155
155×47.25/125=155×w/155
7323.75/125=w
w=58.59
6-4x is Less than or equal to 26
The area of a rectangular folder is 63 square inches. The folder is 7 inches wide. How long is
it?
*........* inches
Answer:
9 inches long
Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.
number 5 please yeah
Answer:
3x<45
Step-by-step explanation:
Simple
In a bowl of fruit, there are green grapes and black grapes in the ratio 3: 4
If there are 24 green grapes, how many black grapes are there?
Which best describes the triangle shown?
Answer:
a I think please be right
What expression is equivalent to 3x - 7 - 6x + 13
Answer:
-3x + 6 and -3(x - 2)
Step-by-step explanation:
Given
[tex]3x - 7 - 6x + 13[/tex]
Required
An equivalent expression
[tex]3x - 7 - 6x + 13[/tex]
Collect Like Terms
[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]
[tex]3x - 7 - 6x + 13 = -3x+6[/tex]
This can be simplified further as:
[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]
PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST
Answer:
a I think please be right
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
The system of equations y=- x +5 and y= x - 1 is graphed. What is the solution to the system of equations?
Answer:
2(x+1)=3(x-1). 2x+4 = $*-6. -*=-8 .... x=y x=17. 1. x x. X. = 8. X-9=-3x-5 f). 4x=4 x = 1 ... Graphing Linear Equations. Graph ... Solve the inequality and graph the solution on a number line.
Provide on equivalent ratio. Show your work....
Write the ratio as a unit rate
per HELP PLEASE
Answer:
VHV
Step-by-step explanation:
wheres the question even?
Whats 9387c x 732l +99 *DO NOT REPORT TY!*
.
.
.
.
.
.
.
.
.
.
.
.
do not come until wednesday
Id: 334 911 1797
pass: hey
Answer:
You did not even start the meeting them you want us to join . Silly
Step-by-step explanation:
6871383
how you doing?
how your day going?
Answer:
6871383
Step-by-step explanation:
why dont come until wednsday??
What is an
equation of the line that passes through the points (-4,3) and
(-8,0)?
Answer:
y = 3/4x + 6
Step-by-step explanation:
(-4,3) and (-8,0)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(0 - 3) / (-8 - (-4))
Simplify the parentheses.
= (0 - 3) / (-8 + 4)
= (-3) / (-4)
Simplify the fraction.
= -3/-4
= 3/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 3/4(-8) + b
To find b, multiply the slope and the input of x(#)
0 = -6 + b
Now, add 6 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = 3/4x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 3).
y = 3/4x + 6
3 = 3/4(-4) + 6
3 = -3 + 6
3 = 3
Your equation is correct.
Hope this helps!
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
i have $2 in my pocket what might be in my pocket (number puzzle)
Answer:
$2
Step-by-step explanation:
Hellllppppppppppppppp!!!!!
Barb drew a line through the origin and point
(2, 3). Jamal drew a line through the origin
and point (4,6). How can you tell that Barb
and Jamal drew the same line?
