Which of these steps will eliminate a variable in this system? 4x-9y=8 2x+3y=24
For eliminate a variables we need addition method or elimination method.
Define the term Variable?In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.
We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:
⇒ 4x - 9y = 8
⇒ -4x - 6y = -48
Add the two equations together: ⇒ -15y = -40
⇒ y = 8/3
Substitute this value of y back into either equation to solve for x.
⇒ 4x - 9(8/3) = 8
⇒ 4x - 24 = 8
⇒ x = 8
Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.
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Is .09 greater then .0003
Answer:
Yes
Step-by-step explanation:
For ease, let's multiply these by 10,000.
0.09 • 10,000 = 900.00 = 900
0.0003 • 10,000 = 3.00 = 3
900 is clearly greater than 3. Therefore, 0.09 is greater than 0.0003.
A study conducted in year 2002 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be: Null: The mean number of children per household in 2002 is equal to 1.7; Alternative: The mean number of children per household in 2002 is not equal to 1.7. Which of the following statements is true about this test?
a. This is a step-tailed test.
b. This is a left-tailed test.
c. This is a two-tailed test.
d. This is a right-tailed test.
Answer:
c. This is a two-tailed test.
Step-by-step explanation:
When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as
Ha : u≠ 1.7
meaning that values both larger and smaller than u are to be included.
When the alternative hypothesis has the "not equal to sign" it gives the two tailed test.
whats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
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16/25 divided by 15/8
Answer:
128/375
Step-by-step explanation:
16/25 divided by 15/8
16/25 X 8/15 = 128/375
The population of China is approximately 1.381x10^9, and the population of the US is approximately 3.23x10^8. About how many people live in both countries combined? Answer in scientific notation
Answer:
1.704 x 10⁹ people
Step-by-step explanation:
Population of China = 1.381 x 10⁹
Population of US = 3.23 x 10⁸
Problem:
Number of people in both countries combined = ?
Solution
To solve this problem, simply add them together;
Let us make the exponents the same for easy addition;
Population of China = 1.381 x 10⁹ = 13.81 x 10⁸
Poplation of US = 3.23 x 10⁸
Adding both:
(13.81 x 10⁸) + (3.23 x 10⁸)
⇒ (13.81 + 3.23) x 10⁸
⇒ 17.04 x 10⁸
⇒ 1.704 x 10⁹
What is 1047.04 divided by 16
Answer:
D
Step-by-step explanation:
Cause the calculator says so...
Answer:
65.44
Step-by-step explanation:
I copied and pasted but this is the answer 65.44
HELP PLEASEEEEEEEEEE
√-72 = √(i^2) 9*8 = 3i√8 = 3i√2^3 = 3i*2√2 =6i√2
Answer is D. 6i√2
If k-8= 0, what property justifies k = 8?
Answer:
5Etxxug
Step-by-step explanation:
64d64s585i is a solution of the linear
Solve A=4πr² for π. What is the solution to this problem?
Answer:
A/4r²=π
Step-by-step explanation:
A=4πr²
Divide each side by 4r²
A/4r²=4πr² /4r²
A/4r²=π
Rewrite using i. Show your work.
Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries? A. B. -1.872 – 1.615 + 217.55 > 255 -1.812 + 21.61r + 217.55 > 255 -1.8r2 – 21.611 + 217.55 < 255 C. D. -1.812 + 1.61x + 217.55 < 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.
The number of 20-cent increases in the cost of a package of strawberries can be gotten from:
(2.29 + 0.2x)(95 - 9x) > 255
217.55 - 20.61x + 19x - 1.8x² > 255
-1.8x² - 1.61x + 217.55 > 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
EDMENTUM
Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g
Answer: Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
Step-by-step explanation:
If you suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all representing three sequences respectively, and you also suppose that [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex] is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:
Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?
Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.
Answer:
X= 32 Y= 35
Step-by-step explanation:
We know FOB is parralel to AOE meaning x= 32
also, COH = 90 so GOD is also 90.
a straight angle is 180, so
23+90+x or 32= 145,
180-145=35,
y=35
Answer:
X=32
Y=35
Step-by-step explanation:
We know x is 32 because FOB is parrallel to AOE.
We also know that DOG is 90 because COH is 90, and parallel to DOG
So, we can do:
90 + 23 + 32 =145
180-145=35, which is Y
Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet
letter B 3 feet
Step-by-step explanation:
he needs three more to get 6 meters of wood
2) If U is between T and B, find the value of x and the lengths of the segments Label the line show all work
to answer the questions. (4 points)
T
U
B
TU = 2x, UB = 3x, TB = 20
X =
I
TU=
UB=
Number 2
With the money she had saved by working, Jennifer wanted
Answer:a car
Step-by-step explanation:
HELP EASY ASAP MULTIPLE CHOICE
Answer:
It's the first one 18/3 =6
Step-by-step explanation:
This is the only answer that has all integers or whole numbers. Hope this helps!
Answer:
Its the fisrt one cause its the only one with a whole number.
Step-by-step explanation:
Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much
PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
Answer:
see below
Step-by-step explanation:
The umbrella should fit
The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
Take the square root of each side
sqrt(900) = sqrt(c^2)
30 =c
As long as the umbrella is less than 30 inches, it should fit
The umbrella is 29 inches so it should fit
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
65% of what is 39?
Answer:
The answer is 25.35
Step-by-step explanation:
Hope this helps:)
Answer:
60
Step-by-step explanation:
65 % of 60 = 39
What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box
Answer:
39
Step-by-step explanation:
-3x(-13) = 39.
If this question was asking for something different I apologize.
Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20
Answer:
The sum is positive.
Step-by-step explanation:
The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.
Hope this helps!
Question 6 of 10
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = } - 7?
A. The graph of f(x) is shifted 7 units to the right.
B. The graph of f(x) is shifted 7 units down.
C. The graph of f(x) is shifted 7 units to the left.
O D. The graph of f(x) is shifted 7 units up.
SIR
Answer:
D I'm pretty sure
Step-by-step explanation:
Answer:
Its B. i just did this question.
Step-by-step explanation:
A line with slope -3 passes through the points (5,2) and (9,y). Find y. (and yes I know this is a repost but the other one was wrong its not y=5)
9514 1404 393
Answer:
y = -10
Step-by-step explanation:
Using the point-slope form of the equation for a line, we can write the equation as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = -3(x -5)
Using the values for the other point, this becomes ...
y -2 = -3(9 -5)
y = -3(4) +2
y = -10
Yousuf needs 7 4/9 yards of fabric to make blanket for his mom for Mother’s Day. He found 3 1/3 yards of pink fabric. How much more does he need to finish the blanket
A. 4 1/9
B. 10 7/9
C. 4 3/9
D. 10 1/9