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[tex]\large\boxed{A. \text{ } y = 2x - 12}[/tex]
6x - 3y = 36
Solve for y:
begin isolating by subtracting both sides by 6x:
6x - 6x - 3y = 36 - 6x
-3y = 36 - 6x
Divide both sides by -3 to solve for y:
(-3y) / (-3) = (36 - 6x)/ (-3)
y = -12 + 2x
Rearrange:
y = 2x - 12, or choice A.
In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
Answer:
[tex]B = 108[/tex]
[tex]C = 36[/tex]
[tex]D = 36[/tex]
Step-by-step explanation:
Given
[tex]B =13x - 35[/tex]
[tex]C = 5x - 19[/tex]
[tex]D=2x+14[/tex]
[tex]BC = BD[/tex]
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
[tex]B + C + D = 180[/tex]
Since [tex]BC = BD[/tex], then [tex]C = D[/tex]
[tex]B + C + D = 180[/tex] can then be rewritten as:
[tex]B + C + C = 180[/tex]
[tex]B + 2C = 180[/tex]
Substitute values for B and C
[tex]13x - 35 + 2(5x - 19) = 180[/tex]
Open Bracket
[tex]13x - 35 + 10x - 38 = 180[/tex]
Collect Like Terms
[tex]13x + 10x = 180 + 38 + 35[/tex]
[tex]23x= 253[/tex]
Divide both sides by 23
[tex]x = 11[/tex]
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
[tex]B =13x - 35[/tex]
[tex]B = 13 * 11 - 35[/tex]
[tex]B = 108[/tex]
[tex]C = 5x - 19[/tex]
[tex]C = 5 * 11 - 19[/tex]
[tex]C = 36[/tex]
[tex]D=2x+14[/tex]
[tex]D = 2 * 11 + 14[/tex]
[tex]D = 36[/tex]
The measure of m<B, m<C and m<D are 108, 36 and 46 respectively
What are triangles?From the triangle BCD, if BC=BD, then
m<C = m<D (Base angles are equal)
Given the following paramters:
m<C = 5x-19m<D = 2x + 14Hence;
5x - 19 =2x + 14
5x- 2x = 14 + 19
3x = 33
x = 11
m<B = 13x - 35
m<B = 13(11) - 35
m<B = 108 degres
m<C = 5x - 19
m<C = 55- 19
m<C = 36
m<D = 180 - 144
m<D = 36 degreees
Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively
learn more on angles here: https://brainly.com/question/16281260
A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 oranges. All but one crate is full. How many oranges are in the last crate?
Answer:
13
Step-by-step explanation:
Given parameters:
Number of oranges processed by grower = 2330 oranges
Number of oranges per crate = 96
Unknown:
Number unpacked oranges
Solution:
To solve this problem, divide the total number of oranges by the number of oranges per crate;
Number of unpacked oranges = [tex]\frac{2330}{96}[/tex]
Number of unpacked oranges = 24 [tex]\frac{13}{48}[/tex]
The remaining unpacked is 13.
3. + (-2) + (-24 )
Please help this question is worth a lot of points ( math question) help please:)
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ - 26}}}}[/tex]
☄ Question : Simplify[tex] \sf{ + ( - 2) + ( - 24)}[/tex]☄ Step - by - step explanation : [tex] \sf{ + ( - 2) + ( - 24)}[/tex]Remember : [tex] \sf{( + ) \times ( - ) = ( - )} [/tex]
[tex] \dashrightarrow{ \sf{ - 2 - 24}}[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
[tex] \dashrightarrow{ \boxed{ \sf{ - 26}}}[/tex]
--------------------------------------------------------------
† Remember :✒ Sign rules of addition and subtraction of integers :
The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.✒ Sign rules of multiplication and division :
[tex] \sf{( + ) \times ( + ) = ( + )}[/tex][tex] \sf{( + ) \times ( - ) = ( - )}[/tex][tex] \sf{( - ) \times ( + ) = ( - ) }[/tex][tex] \sf{( - ) \times ( - ) = ( + ) }[/tex]▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Hope I helped!
Have a wonderful time ! ツ
f(x) = -4x – 2, solve for x when f(x) = 6
Step-by-step explanation:
[tex] - 4x - 2 = 6[/tex]
[tex] - 4x = 8[/tex]
[tex]x = - 2[/tex]
The lengths of four insects are 0.02 inch, 1 8 inch, 0.1 inch, and 2 3 inch. List the lengths in inches from least to greatest.
Answer:
0.1,0.2,1.8,2.3
Step-by-step explanation:
Answer:
.02, .1, 1/8, 2/3
Step-by-step explanation:
what is the constant
Answer:
I have no clue but whatever it is it is
Step-by-step explanation:
puebes the knife go chop chop chop
solve the following equation for x 0.5(x-8)=0.2x+11
Answer:
X=50
Step-by-step explanation:
Answer:
10.50 Decimal form
Step-by-step explanation:
plz help me its do today
Isaiah is working two summer jobs, making $16 per hour tutoring and $10 per hour clearing tables. isaiah must earn at least $110 this week. write an inequality that would represent the possible values for the number of hours tutoring, t, and the number of hours clearing tables, c, that isiah can work in a given week
Answer:
16t + 10x = 110
Step-by-step explanation:
t = tutoring
x = cleaning tables
16t + 10x = 110
All you do is plug in numbers.
Answer:
16t + 10c>=110
Step-by-step explanation:
the total earned from tutoring in a week is
16(t)
and the total earning from clearing tables per week is
10(c)
but in a week he has to earn a minimum of 110 dollars
What is the mean?
3 0 4 7 0 4 5 3 6 8
Step-by-step explanation:
3+0+4+7+0+4+5+3+6+8/10
40/10
4
Answer:
The mean is 4.
Step-by-step explanation:
When you add 3+0+4+7+0+4+5+3+6+8 you get 40 and because there are 10 numbers you would divide 40 by 10 and get 4.
Mean-the average of all of the numbers in a data set...to find the mean you simply add all of the given numbers together and then divide that sum by the total amount of numbers given, then you will get your mean.
HOPE THIS HELPS!!!!!!!
PLEASE HELP ME
An alloy is a mixture of metals.Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
Answer the questions below. Do not do any rounding.
(a) How many grams of copper are in the resulting mixture?
Il grams
(b) What percentage of the resulting mixture is copper?
Answer:
(a) How many grams of copper are in the resulting mixture?
= 160 grams
(b) What percentage of the resulting mixture is copper?
= 61.5%
Step-by-step explanation:
(a) How many grams of copper are in the resulting mixture?
From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.
The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams
(b) What percentage of the resulting mixture is copper?
70 grams of an alloy that contains 12% copper = 70 × 12%
= 70 grams × 0.12
= 8.4 grams
The number of grams of copper in the resulting mixture = 160 grams
The percentage of the resulting mixture that is copper is
=( 8.4 grams + 90 grams of pure copper/160) × 100
= 98.4/160 × 100
= 61.5%
What’s the answer to this? Pls and thank you!
Answer:
Answer choice D
Step-by-step explanation:
You can see that the triangles have dashes on them. side DE has two and side AB also has 2. If you rotate triangle ABC, you can also see that AB and DE are congruent.
BRAINLEIST AND 5 STARS The function gives the number of people, in millions, who own a smartphone, years after the year 2000.
What does each equation tell us about smartphone ownership?
P(17) = 2, 320
Molly is making bags of trail mix for the hiking club. She will use 20 ounces of walnuts. 11.1 ounces of almonds, and 24.8 ounces of cashews. This amount makes 26 bags of trail mix. How many ounces are in each bag?
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=
Uh yes I’m sorry I am just trying to get answers
Find the slope of the following graph and Identify the type of
Slope:
Answer:
the slope is undefined
Step-by-step explanation:
in the slope equation rise/run you can't divide by 0
Given AABC with coordinates A(-4,-2), B(-1,1) and C (-2,3)
what would be coordinates of AA'B'C' after a rotation of 180° ?
Answer: 15
15-15 = 0
10-10=0
PLS ANSWER FAST I WILL MARK THE BEST ONE BRAINLIEST PLS
Which of the following is equivalent to 4x^2+4xy+y^2 ?
A) 4(x^2+y^2)
B) 4(x+y)^2
C) 2(x+y)^2
D) (4x+y^)2
E) (2x+y)^2
Answer:
E
Step-by-step explanation:
if we decidedly factor this expression-
4x^2+4xy+y^2
= (2x)^2 + 2*2xy + y^2
= (2x + y)^2
as you can see it is a perfect square so it can be grouped into (2x+y)^2
hence your solution is option e
f(x) = x2. What is g(x)?
Answer:
its C. yw
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did the test
"Twelve less than two-thirds a number is 48"What is the number?
Answer:
-54
Step-by-step explanation:
1.) 12-2/3x=48
2.) Multiple by 3 on both sides
36-2x=144
3.) Move the constant on the other side by subtracting it.
-2x=144-36
4.) Subtract numbers
-2x=108
5.) Divide both sides by -2
-2=108
÷2 ÷2
6,) Then you get x=-54
Samir's retirement party will cost $294 if he invites 6 guests. If there are 12 guests, how much will Samir's retirement party cost? Solve using unit rates.
Answer:
$588
Step-by-step explanation:
$294 = 6 Guests
$588 = 12 Guests
HELP ME PLEASE! how do you write 0.0370 as a scientific notation
Alewuya invests a total of $29,000 in two accounts paying 15% and 6% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,685.00. $__was invested at 15% and
$__ invested at 6%.
x squared = 4x squared -75
A recipe calls for 3 cups of flour to 4 cups of sugar. Find the unit rate of flour to cups of sugar.
Answer: 0.75 cups of flour to 1 cup of sugar.
Step-by-step explanation:
From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.
It simply means what we need to calculate much of flour to one cup of sugar. This will be:
= 3/4 = 0.75
Therefore, the unit rate will be:
0.75 cups of flour to 1 cup of sugar.
Sales tax is 7.25%. If Liz buys the game system for $245.65, how much will Liz spend altogether?
Unmute your mic and "meow" to show that you need to round to the nearest cent.
Question: If an electric train is moving north at 100mph and a wind is blowing to the west at 10mph, which way does the smoke blow?
Answer:
There is no smoke due to it being an electric train.
Step-by-step explanation:
Didn't fool me. ;)
what is 1/2 of 6/7
Answer:
3/7
Step-by-step explanation:
6/14 which equals 3/7
Pls help asappp solve for x
Answer:
65
Step-by-step explanation:
If you need explanation please tell me.
$25 with a 300% increase
Answer:
100 dollars
Step-by-step explanation:
So amount of increase = (300/100) * 25
= 3 * 25
= 75 dollars
Then the final amount = (25 + 75) dollars
= 100 dollars