Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=21. Which of the following systems could have led to this equation
A. 8x-y=15, x+y=-6
B.3x+2y=7, 2x-y=7
C.4x+3y=24, -3x-3y=3
D. 7x+2y=21, -7x-2y=21
Answer:
Step-by-step explanation:
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
How do you solve Linear Equations?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Calculation7x=21 is the intermediate state.
x=3 is the given solution
Substitue x in the given solutions and find y from the given solutions.
9+2y=7 and 6-y=7
so y=-1 in both the cases.
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
To refer more about SYSTEM OF EQUATIONS, visit:
https://brainly.com/question/25976025
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URGENT!!!!!!!!!!!!!! Three ballet dancers are positioned on stage. If Ryan is 8 meters straight behind Nina and 6 meters directly left of Heather, how far is Nina from Heather? wil give 50 points for right answer but will delete point takers
Answer:
Is the answer to the :
1st is 9
2nd is 17
3rd is 20
4th is 5
5th is 6
If it helps you....then please mark brainliest
Step-by-step explanation:
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QUIZ:
Foundations - Systems of Equations
Which expression is equivalent
Please help
Answer:
3
Step-by-step explanation:
Henry is mixing concrete.To make
concrete he needs to mix cement,
sand and gravel in the ratio 4:3:1 by
weight. Henry needs to make 120 kg
of concrete. He has 65 kg of cement,
40 kg of sand and 15 kg of gravel.
Which ingredient is Henry short of?
Answer:
Sand
Step-by-step explanation:
120kg = (4 + 3 + 1) units = 8 units
1 unit = 120 ÷ 8 = 15kg
Calculating required quantities:
Cement: 4 units = 4(15) = 60kg
Sand: 3 units = 3(15) = 45kg
Gravel: 1 unit = 1(15) = 15kg
Comparing these values to those given in the question, he is short of sand.
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
Answer:
$67.20
Step-by-step explanation:
"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.
0.70($96) = $67.20 is the sales price
Write the algebraic expression: The sum of 2 and 83p
Answer and Step-by-step explanation:
2 + 83p would be the expression.
In word form:
Two plus eighty three times p.
#teamtrees #PAW (Plant And Water)
Answer:
[tex]2 + 83p[/tex]
Step-by-step explanation:
The phrase 'the sum of' indicates addition.
The phrase "The sum of 2 and 83p" would add '2' and '83p'.
"The sum of 2 and 83p" as an expression would be: [tex]2 +83p[/tex].
[tex]83p + 2[/tex] would also be correct due to the commutative property.
Hope this helps.
what is 3 /8 times 4/7 in simplest form
Answer:
3/14
Step-by-step explanation:
help plsss :’)))))))
=======================================================
Explanation:
Start in the first row. The stem here is 4, which forms the tens digit of the value. The first leaf of this row is 3, so it's the units digit.
A tens digit of 4 and units digit of 3 forms the value 43. The value 43 is the smallest value of this data set. We call this the minimum.
The max is 93 for similar reasons, but we look at the opposite endpoint of the spectrum. Locate the bottom row (stem = 9) and note the last leaf here is 3. So that's how we get 93 here.
Now compute the range:
range = max - min
range = 93 - 43
range = 50, answer is choice C
Help me pleaseeeeeeeeee!!!!
HELP HELP JIMTHOMPSON5910
Note: I had to write FA in that order, and not the other way around, due to the filter.
Part 1
There are 2 answers and they are
Choice 2) FA/AB = FG/BCChoice 3) AB/FA= BC/FG------------------
Explanation:
For any of the answer choices we are involving the following segments
ABFABCFGSo we're only involving four segments. They are paired up to form fractions which are then set equal to one another. Notice how segment FA is smaller than AB, and how they correspond together. Going from FA to AB means go from small to big. If we write the ratio FA/AB, then can think of it as small/big.
Also note that FG is smaller than BC, and both segments also correspond as they are both going downhill from left to right. So we can write FG/BC to set equal to the first fraction we set up.
Overall, the proportion FA/AB = FG/BC is one valid answer.
The other valid answer is AB/FA= BC/FG. This equation is formed by applying the reciprocal to both sides of the first equation mentioned.
We can rule out choice 1 because FA/AB is small/big, but BC/FG is big/small. The two don't match up. Choice 4 is ruled out because AB does not correspond to FG.
=====================================================
Part 2
Answer: 27------------------
Explanation:
Through similar ideas mentioned in part 1, we can form this proportion
FA/AB = AG/AC
we have the format small/big = small/big
We are given these values either in word form or through the diagram
FA= 15AB = FA+FB = 15+30 = 45AC = 81Plug in those given values and isolate AG
FA/AB = AG/AC
15/45 = AG/81
15*81 = 45*AG .... cross multiply
1215 = 45AG
45AG = 1215
AG = 1215/45 .... divide both sides by 45
AG = 27
Segment AG is 27 inches long.
The area of a rectangle is 99 ft”, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle
Answer: Width = 5.5ft
Length = 18ft
Step-by-step explanation:
Let the width of the rectangle be x
Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:
= (2 × x) + 7 = 2x + 7.
Therefore, length × width = area
x × (2x + 7) = 99
2x² + 7x = 99
2x² + 7x - 99 = 0
2x² + 18x - 11x - 99 = 0
2x(x + 9) - 11(x + 9) = 0
(2x - 11) = 0
2x = 0 + 11
2x = 11
x = 11/2
x = 5.5
The width is 5.5ft
Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft
Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations:
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to test if these thermometers seem to be measuring the same temperatures. Let's use the threshold.
(a) Write down the appropriate hypothesis tests for β1.
H0: β1(≠ / = / > / <) 1 and Ha: β1( ≤ / = / > / ≠ / ≥ / <) 1.
(b) The test statistic is____.
(c) The p-value is____.
(d) Therefore, we can conclude that:_____.
1) The data provides evidence at the 0.1 significance level that these thermometers are not consistent.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
3) The probability that the null hypothesis is true is equal to the p-value.
4) The probability that we have made a mistake is equal to 0.1.
Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493 ( β=1 given)
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer
Answer:
200
Step-by-step explanation:
If you multiply 8 by the number 5's square, 25, you get 200
Jason spent $980 total on a new Ps5 and some games. He paid $800 for the Ps5 and he paid $45 per game. How many games did Jason buy?
Answer:
4 games
Step-by-step explanation:
Hope this is right!!!
Answer:
4
Step-by-step explanation:
So first off, subtract the 800 from the 980, this leaves the amount of money left ofr games:
980-800
=
180.
Next divide this by how much each game cost, to get the amoutn per game:
180/45
=
4
So we know he got 4 games.
Hope this helps!
pls help!! i’ll mark you brainliest : )
Answer:
B, d, e
Step-by-step explanation:
The formula for the area of a triangle is 1/2×base (b)×height (h)
For b
Half of 3 is 1.5 × 8 = 12
For d
Half of 6 is 3 × 4= 12
For e
Half of 12 is 6 × 2= 12
Which of these is NOT the net of a cube.
Answer:
A.
Step-by-step explanation:
You don't really need much of an explanation ...
Please help!!! Brainlyest answer!!!!
Answer:
Monday, Thursday, and friday
Step-by-step explanation:
Use the inequality given and solve for h
12.5h≥106.25
h≥8.5
from here you just select all days that have more than or equal to 8.5 hours
which is
Monday, Thursday, and friday
When do you use a solid line for graphing a linear inequality?
Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too
Step-by-step explanation:
A dotted line is there to represent that the equation your graphing is either grater than or less than
So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.
I hope this helps!
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
(60 divided by (3+7) x2 ) x 5 +7 A. 60 B 22 C 30 D 67
Answer:
the answer is D
Step-by-step explanation:
20 POINTS PLEASE ANSWER THIS ASAP!!!!!
How many six-character code words can be formed if the first two characters are letters and the others are letters and/or digits? Repetition of numbers and letters is allowed.
a) 6,760,000
b) 723,465,600
c) 1,135,420,416
d) 918,918,000
2.Answer question # 1 if Repetition is NOT allowed.
a) 918,918,000
b)723,465,600
c)1,135,420,416
d)720
Answer:
A ; 3276000 (second answer)
Step-by-step explanation:
think of it like this:
L L # # # # ( six symbols, L for letters, # for numbers)
26 X 26 X 10 X 10 X 10 X10 = 6760000
If we take away repetition then the equation would look like this:
L L # # # # ( 26 then 25 due to the loss of a letter due to no )
26 X 25 X 10 X 9 X 8 X 7 ( Repetition. Same with 10,9,8,7 )
Therefore the answer to the second question isn't even up there which is 3276000.
Hope this helps...
HELP MREEEEEEEE ASAP IM TIMED PLEASE HELP
Answer:
i need points i sugjest going on yt it gives you full guide
Step-by-step explanation:
Answer:
I think its 3 I took this test last year if I remember right 3
14. What is the length of a diagonal of rectangle EFGH? Show your work
Answer:
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
[tex]h^2 = a^2 + b^2[/tex]
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]
The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]
Diagonal:
[tex]d^2 = a^2 + b^2[/tex]
[tex]d^2 = 3^2 + 7^2[/tex]
[tex]d^2 = 9 + 49[/tex]
[tex]d^2 = 58[/tex]
[tex]d = \sqrt{58}[/tex]
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
I've been crying about this question plz Help i'll give brainliest. Question 7
Step-by-step Answer/Explanation(answers are underlined and bolded):
okay, first you want to identify all the numbers and what they mean:
lawyers:235 (within the main number of lawyers: Criminal lawyers: 74)
Family doctors: 87
Sergeons: 30
From there, add up all of said numbers (ignore the Criminal lawyers for now):
235 + 87 + 30 = 352
(352 is going to be the denominator or the number that we are going to be dividing from.)
Next, we start answering the questions!
the first one is asking for the percent of sergeons.
To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:
30/352 = .0852
then multiply this by 100:
.0852 x 100= 8.52%
So the percent of sergeons is 8.52%
Next question: the percent of Family Doctors
so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:
87/352 = .2472
.2472 x 100 = 24.72%
Meaning the percent of family doctors is 24.72%
Criminal Law is next:
repeat the steps in the last couple of problems:
72/352 = .2045
.2045 x 100 = 20.45%
Family Law:
Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.
235 - 72 = 163
now repeat the steps from the earlier problems:
163/352 = .3864
.3864 x 100 = 38.64%
(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)
Convert to the given unit. 65 m = cm
Answer:
65m = 6500 Cm.
Step-by-step explanation:
A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.
22cm^3
Step-by-step explanation:
My education system is different so I dont know what nearest tenth would mean in this .
But going mathematically:
Its diameter is 7 centimetres.
So to find its volume we can use the formula pi/d or pi/r^2
Now, 22/7÷7 would be 22cm³.
A right rectangular prism has a base with sides 6 cm and 8 cm. If the volume of the prism is 624 cm^3, find the height of the prism.
Answer:
H=13cm
Step-by-step explanation:
Volume= Length x Width x Height
v=624cm^3
L=8cm
W=6cm
8cm x 6cm=48cm^2
Divide 624cm^3 by 48cm^2= 13cm
H=13cm
Hope this helps!
I need the answer fast
Answer:
87
Step-by-step explanation:
this is correct
Write the equation of the graph
Answer:
x + 2y - 5 = 0
Step-by-step explanation:
We can see that , the graph passes through (0,2.5) and (5,0) . Therefore the ,
x intercept is 5 y intercept is 2.5We can use the intercept form of equation as ,
=> x/a + y/b = 1
=> x/5 + y/2.5 = 1
=> x + 2y/5 = 1
=> x + 2y = 5
=> x + 2y -5 = 0 .
This equation can be verified by plotting the graph .[ Refer to attachment ]
Hence the equation of the line is x + 2y - 5 = 0 .Please help me with my math guys really need it
Answer:
The answers are given in the pictures. One of them was an opinionated question, so you can just put whatever you want there. I put my opinion just in case.
Step-by-step explanation: