Answers
Step-by-step explanation:
Yz / RT = SZ / ST
2X +2 / 3X -7 = 35 / 40= 7 / 8
8( 2x+2) = 7( 3x-7 )
16 x +16 = 21x 49
5x = 65
x =13
YZ = 2×13 +2 = 28
Related Questions
Ms. Chibbaro asked her students to find an expression equivalent to 7 - 3(4 - 2x) - 10x Jon had the work shown to the Left on his paper. One step in Jon's wok is incorrect. Find and explain the error. Then write your own expression equivalent to the one given by Ms. Chibbaro.
Answers
Answer:
[tex]-15 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Expression: 7 - 3(4 - 2x) - 10x[/tex]
Required
Determine Jon's error and make corrections.
Also, give the equivalent of the expression
The question has missing details because Jon's workings is not listed.
One mistake student's make during multiplications that involves minus (-) and plus (+) is in the signs.
So, watch out for the signs to know where the error is.
However, I'll give an equivalent of the given expression
[tex]7 - 3(4 - 2x) - 10x[/tex]
Open Bracket
[tex]7 - 12 + 6x - 10[/tex]
Collect Like Terms
[tex]7 - 12 - 10 + 6x[/tex]
[tex]-15 + 6x[/tex]
Hence, the given expression is equivalent to [tex]-15 + 6x[/tex]
Write an equation for the line that is perpendicular to the line y= -9 that passes through the point (-3,4).
I attached the answers down below. Much appreciated to the person who helps.
Answers
Answer:
Step-by-step explanation:
x= -3
(-7)(5) =
Answers
Answer:
-35 is the correct answer
Answer:
-35
Step-by-step explanation:
The answer is -35
-7 × 5 = -35
7,018 mm = 7.018 A. km B. m C. dm D. cm
Answers
Answer: B
Step-by-step explanation:
Find an equation for the line below.
Answers
Answer:
y = 1/3x - 3/4
Step-by-step explanation:
Create a slope triangle or just count the amount of squares between each highlighted point. And then see where the line intersects on the y-axis.
The sides of a triangle are given as 3x, x - 1 and 3x + 1. If the perimeter [2]
is 56m find its sides.
Answers
Answer:
The sides are 24cm, 7cm, and 25cm
Step-by-step explanation:
3x+x-1+3x+1=56 <---- First we combine like terms (the 1's cancel out)
7x/7=56/7 <--- Divide by 7 to isolate the variable
x=8 <--- Now that we've solved for x we need to plug it back into each side
3(8)=24
(8)-1=7
3(8)+1=25
24+25+7=56 <---- Make sure it all adds up to 56
Hope this helps :)
Answer:
The sides of the triangle are:
[tex]3x = 3(8)=24[/tex][tex]x-1=8-1=7[/tex][tex]3x+1=3(8)+1=25[/tex]Step-by-step explanation:
We know that the perimeter of a triangle is the sum of the length of its sides.As the sides are given
3xx-13x+1so the equation of the perimeter becomes
[tex]P=3x+\left(x-1\right)+\left(3x+1\right)\:[/tex]
as
P = 56mso
[tex]56=3x+\left(x-1\right)+\left(3x+1\right)[/tex]
[tex]3x+x+3x-1+1=56[/tex]
[tex]7x-1+1=56[/tex]
[tex]7x=56[/tex]
[tex]\frac{7x}{7}=\frac{56}{7}[/tex]
[tex]x=8[/tex]
Now finding the sides
[tex]3x = 3(8)=24[/tex]
[tex]x-1=8-1=7[/tex]
[tex]3x+1=3(8)+1=25[/tex]
Therefore, the sides of the triangle are:
[tex]3x = 3(8)=24[/tex][tex]x-1=8-1=7[/tex][tex]3x+1=3(8)+1=25[/tex]HELP ASAP!!!
Which of the following expressions is equal to
-5 for some value of x?
A) |x - 6| + 2
B) |x - 2|-6
C) |x+2|+6
D) |x + 6|-2
Answers
===========================================================
Explanation:
Recall that for y = a| x-h | + k, the vertex is (h,k).
Since all of the answer choices have a > 0, this means all of the vertexes are the lowest point for each absolute value graph.
Consequently it tells us the lowest possible y value.
For choice A, the smallest y output possible is y = 2For choice B, it would be y = -6For choice C, y = 6 is the lowestAnd choice D says y = -2 is the lowest y valueChoices A, C and D indicate that getting y = -5 is impossible. For instance, if y = 2 is the smallest, then there's no way to get y = -5. I recommend making a number line.
The only thing left is choice B. If we plug in y = -5 then we get...
y = |x-2| - 6
-5 = |x-2| - 6
-5+6 = |x-2|
|x-2| = 1
x-2 = 1 or x-2 = -1
x = 1+2 or x = -1+2
x = 3 or x = 1
Plugging either of those x values into y = |x-2| - 6 leads to y = -5
You could try solving something like -5 = |x-6| + 2 for x, but you'll find that it has no solutions.
As another alternative, you can graph each answer choice. Then see which one intersects the horizontal line y = -5. You should see that only y = |x-2| - 6 does so.
p=m+x² (make x the subject)
Answers
Answer:
See below
Step-by-step explanation:
[tex]p = m + {x}^{2} \\ \\ p - m = {x}^{2} \\ \\ {x}^{2} = p - m \\ \\ x = \pm \sqrt{p - m} \\ [/tex]
REALLY URGENT
There are two types of fish in a lake. These are carp and pike.
In a netted area of the lake 120 carp and 16 pike were caught
In the whole lake it is estimated there are 34 000 fish
Zalika estimated that there are 4000 pike in the lake altogether.
How does Zalika work out this estimate.
Answers
Answer: Ratios
Step-by-step explanation:
Zalika can work out this estimate by using the ratio of carp to pike that she first caught. This is how to use the ratios:
1) 120 carp : 16 pike --> from given information
2) 136 fish : 16 pike --> add the numbers together to get total fish compared to pike
3) Multiply by 250 --> 34000 divided by 136 is 250
4) 34000 fish : 4000 pike --> 16x250=4000
8. Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four
more cards than twice the number that Maura has.
(a) If the number of cards Maura initially has is represented by n, then write an expression for the number of
cards that Dai initially has.
(b) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to
determine the number of cards Maura initially had.
Answers
Answer:
2n + 4
n = 12
Step-by-step explanation:
Given that :
Initial :
Dai has four more cards than twice the number that Maura has.
Maura's initial card = n
Dai's initial card = 2n + 4
B.)
If Dai must give Maura 8 cards, so they have equal amount
Dai's initial card - 8 = Maura's initial card + 8
2n + 4 - 8 = n + 8
2n - 4 = n + 8
2n - n = 8 + 4
n = 12
Which statement describes the graphs of y = −x + 3 and y = −x + 6?
A. They intersect at point (3, 6).
B. They are parallel.
C. They are perpendicular.
D. They intersect at point (6, 3).
Answers
its d i did this before its easy
The statement which describes the graphs of y = −x + 3 and y = −x + 6 is; Choice B: They are parallel.
By comparison with the slope-intercept form of a linear equation;
y = mx + cWhere, m = slope and c = y-intercept.
We can conclude that, the slope, m of both equations given is, -1.
And from straight line geometry; We recall that;
Parallel lines have equal slope.Read more on parallel line slopes:
https://brainly.com/question/10790818
If Alfonso does a job in 30 hours more than Zoe, and they can do the job together in 8 hours, how long would it take Zoe to do the job alone?
Answers
Answer:
Step-by-step explanation:
Let the time it will take Alfonso be x
Let the time it will take Zoe be y
If Alfonso does a job in 30 hours more than Zoe, then;
x = 30+y...... 1
Also if they can do the job together in 8 hours, then;
x+y = 8.... 2
Substitute 1 into 2;
x+y=8
30+y+y = 8
40+2y = 8
2y = -32
y = -16
Hence X = 30-16
X = 14
y = 30+14 = 44
hence it will take Alfonso about 44hours to do the work alone
the length of two sides of a triangle are 8cm and 15cm. between which two numbers will the third side of the triangle lie
Answers
Answer:
7 and 22
Step-by-step explanation:
The Sum of any Two Sides of a Triangle is Greater than the Third Side.
The third side = x
x < 8 + 15
x < 23
8 < x + 15
Can be any number in between 1 and 22.
15 < x + 8
Should be a number in between 7 and 22.
A cylindrical syringe has a height of 6.8 cm and a diameter of 2.37 cm is going to be
used to fill a half sphere (semi sphere) with a circumference of 31.4 cm. How many
syringes filled with water would be needed to fill the semi-sphere?
6.8 cm
Answers
Answer:
The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes
Step-by-step explanation:
The height of the syringe = 6.8 cm
The diameter of the syringe = 2.37 cm
The circumference of the hemisphere = 31.4 cm
Let r represent the radius of the hemisphere, we have;
2·π·r = 31.4 cm
r = 31.4/(2 × π) ≈ 4.9975 cm
The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³
The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³
The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)
Therefore;
The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.
Which equation represents a line which is perpendicular to the line y = 6/7x –4?
Answers
Answer:
any line with the same slope but different y intercept
Step-by-step explanation:
Answer:
7x+6y=18
Step-by-step explanation:
if m< 3=74 find each measure
Answers
Answer:
for you
Step-by-step explanation:
help :((((( this is hard
Answers
Step-by-step explanation:
y - y1 = m (x - x1)
(y - y1)/m = x - x1
x - x1 = (y - y1)/m
x = (y - y1)/m + x1
therefore, answer is option C
Topic: Change of subject / coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
12.) Find the x-intercept and y intercept of the following equation.
9x + 6y = -36
Answers
Answer:
Thevalue of x-intercept is 0
and y intercept is-6.
Step-by-step explanation:
here,9x+6y=-36
9x = -36 - 6y
x=(-36 -6y)/9
x=(-12-2y)/9.........(i)
putting value of x in question
9[(-12-2y)/9]+6y=-36
-12-2y+6y= -36
-12+4y= -36
4y=-24
y=-6
puting value of x in equation (i)
x=(-12-2y)/9
x=(-12-2×-6)/9
x=0
I have done your task. But i think it will help you. if it helps please my answer as brainliest answer.
please do .... for my hard work.
looking for an answer ty
18 / (-3) + 4
Answers
Answer:
-2
Step-by-step explanation:
First divide 18/-3 = -6
Then add 4 to -6
Answer is -2
what is..
y=4/3x-2 and y=-2/3x-8
Answers
help me pls thanks!
Answers
Finding the value of x
16x-3=8+9x+45
Explanation
We know that the,
Sum of interior angles =exterior angles
→16x-9x=45+3+8
→7x=56
→x=56/7
→x=8
▬▬▬▬▬▬▬▬▬▬▬▬
Hope my answer helps uh!
The figures are similar. Find the missing length.
Answers
6/4.5 = x/6
3х + 9
Please help me
Answers
There is no answer to this problem.
A table showing Number, Value, and Total Value. The first row shows Pennies, with the entries, p, 0.01, and 0.01 p. The second row shows Nickels, with the entries, 22 minus p, 0.05, and 0.05 left parenthesis 22 minus p right-parenthesis. 0.01p + 0.05(22 – p) = 0.54 Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54. How many of each type of coin does Ari have? pennies and nickels
Answers
14 pennies and 8 nickles
i hope this helps
Answer:
0.01p + 0.05(22 – p) = 0.54
Factor the polynomial function p(x) = x3 – 2x2 - 4x2 + 8x.
Answers
Answer: p=x2−6x+8
Step-by-step explanation:
hope this answer helps
Answer: x(x-4)(x-2)
Step-by-step explanation:
Write an equation of the line that is parallel to x=-11 that passes through the point (-9, 0).
Answers
There is no slope in either equation. Therefore, x=-11 and x=-9 will be two vertical and parallel lines at (-11,0) and (-9,0)
Solve each equation. a. ( − 6)( x+ 5) = 0
Answers
Answer:
x = -5
Step-by-step explanation:
divide both side by -6 (-6/6) (5/-6)
x + 5 = 0
move constant to the right side and change it sign
x = -5
I need help with solving this problem please I will mark brainliest if correct
Answers
Answer:
both anges are 105
x = 128
Step-by-step explanation:
This is based on a theorem called F-angles.
If a and b are parallel, then these angles are equal.
So x = 105+23 = 128
Solve using
elimination
X- 2y = 3
3x - y = 2
Answers
Answer: x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
Substitute -7/5 for y in x - 2y = 3:x - 2 (-7/5) = 3x + 14/5 = 3x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)x = 1/5Answer: x = 1/5 and y = -7/5The perimeter of a rectangle window is 226 cm. If the length of the window is 62 cm, what is its width?
Answers
Answer:
51 cm
Step-by-step explanation:
perimeter = 2 * length + 2 * width
226 = 2 * 62 + 2 * width
226 = 124 + 2 * width
226 - 124 = 2 * width
102 = 2 * width
102/2 = width
51 = width