Answer:
x = 3, y = 7
or (3,7)
Step-by-step explanation:
We are given the system of equations below:
[tex] \large{ \begin{cases} 2x - y = - 1 \\ 3x - y = 2 \end{cases}}[/tex]
We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.
By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)
[tex] \large{ \begin{cases} y= 2x + 1\\ 3x - y = 2 \end{cases}}[/tex]
Then we substitute y = 2x+1 in the second equation.
[tex] \large{3x - (2x + 1) = 2}[/tex]
Use the distribution property.
[tex] \large{3x - 2x - 1 = 2}[/tex]
Isolate x-term to solve the equation.
[tex] \large{x = 2 + 1} \\ \large{x = 3}[/tex]
Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.
[tex] \large{2x - y = - 1} \\ \large{2(3) - y = - 1} \\ \large{6 - y = - 1}[/tex]
Isolate and solve for y-term.
[tex] \large{6 + 1 = y} \\ \large{7 = y} \\ \large{y = 7}[/tex]
Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)
Hence, the solution is (3,7)
Find the volume of the cone.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Solve for volume
V≈37.7
r Radius
2h Height
9V=πr2h3=π·22·93≈37.69911Answer:
37.7
Step-by-step explanation:
( NEED HELP ASAP )
Drews fish tank measures 32 cm by 22 cm by 26 cm. He pours 20 liters of water into it, and some overflows the tank. Find the volume of water, in milliliters, that overflows.
Answer:
the answer to the question is 1,696
Step-by-step explanation:im sorry i dont have an exsplanation but its that trust me
Write the expression with your terms. 10x-2x
Answer:
Step-by-step explanation: first you do 10 minus 2 you get 8
5.3 in.
8 in.
4 in.
8 in.
Answer: 58.6
Step-by-step explanation:
4 x 8 = 32
4 x 5.3 = 21.2
4 x 2.7 = 10.8 / 2 = 5.4
32 + 21.2 + 5.4 = 58.6
a bag contains 13 1/2 cups of sugar. a serving of sugar 3/4 cup. how many total servings are in the bag?
Answer:
18 servings
Step-by-step explanation:
13 1/2 divided by 3/4
13.5/.75=18
Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 158 inches? Enter the answer in the box.
meters
The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm.
(a) State the hypotheses to test whether the mean is smaller than it is supposed to be.
(b) What is the test statistic?
(c) At α = .05, what is the critical value for this test?
(d) What is your conclusion?
Answer:
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
Step-by-step explanation:
Goal mean μ = 56 gm
standard deviation σ = 0,77
From random sample:
mean x = 55,82
sample size n = 49
We assume a normal distribution ( is a manufacturing controlled process)
a) Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative hypothesis is telling us that the test is a one-tail test to the left
as n > 30 we use the normal distribution.
b) z(s) = ( x - μ ) / σ / √n
z(s) = 55.82 - 56 ) * 7 / 0,77
z(s) = 0,18*7/0,77
z(s) = - 1.6363
c) if significance level is α = 0.05 then α/2 = 0,025
Then from z table, z score for 0,025 z(c) = -1.96
d) Comparing z(c) and z(s) modules
|z(s)| < |z(c)|
Then z(s) is in the acceptance region we accept H₀.
We don´t have evidence to support that candy bar mean weight is below 56 gm
How many different 2 digit PIN numbers codes are possible? *
Answer:
there are 10 numbers 1,2,3,4,5,6,7,8,9,0,
Step-by-step explanation:
10000
Answer:
90
Step-by-step explanation:
Solve using square roots: (x-6)^2=144
x^2-12x+36-144=0
x^2-12x-108=0
(x-18)(x+6)
X=18,-6
rewrite 1/4 with the denominator 24
Answer:
6/24.
Step-by-step explanation:
24 = 4 * 6 so we:
multiply by 6/6:
1 * 6
------ = 6 / 24.
4 * 6
A rectangle with a length of 5cm and width of 2cm is cut diagonally. What is the area of one of the triangles formed?
PLEASE LEAVE STEPS!
Answer:
5cm^2
Step-by-step explanation:
l=5 w=2
Area= 5×2
=10cm^2
Area of triangle= 10/2
=5cm^2
4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?
Answer:
I believe about 30.8%
make use of formulae to convert imperial measurement of one once to a metric measurement.shiw the formulae that you would use
Answer:
secret para bibo hahaah
The owner of a restaurant wants to collect data to find out the customers' opinions on the variety of appetizers offered on the menu. Which group should she survey to collect the best data? ANSWERRR QUCIKK A.
thirty customers who asked to share their opinions of the appetizers with the chef
B.
fifty randomly selected customers who dined at the restaurant
C.
sixty members of the local community
D.
the first fifty customers who dine at the restaurant without ordering an appetizer
Fifty randomly selected customers who dined at the restaurant will be best to collect the data thus, option (B) is correct.
What is sampling?Sampling is collecting some items in a lot randomly to predict opinions about the lot.
For example; the Selection of goods, selection of people
Sampling is a useful technique because if we do it for all samples then it will take time and cost as well.
As per the given,
To find out the customers' opinions on the variety of appetizers offered on the menu we need to take randomly customers and the customers who dine at the restaurant because if they did not dine then they didn't know the verities.
The random selection gives the exact results.
Hence "Fifty randomly selected customers who dined at the restaurant will be best to collect the data".
To learn more about sampling,
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$7.36 + 2.23 + 4.86
The answer for 7.36 + 2.23 + 4.86 is 14.35
Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?
Answer:
12, because both dogs and birds only have 12 heads
1) Which division expression is the given figure below modeling?
10 points
A) 2/3=4
B) 4 = 2/3
C) 4x2/3
D) 2/3 x 4
Figure to use with Problem #1
54, 46, 43, 40, 34, 20, 28, 50, 45, 42, 38. What is the mean?
Answer:
40
Step-by-step explanation:
Average = Sum / Count
= 440 / 11
= 40
Answer:
Step-by-step explanation:
The mean is the total number to add .them you divide the total for of value ,
in this case your add al number 54+46+43+40+34+20+28+50+45+42=382
in / 382/11 = 34.727272... = 35
I already know the answer I just need someone to explain step by step how to solve it. I need to know the process
Step-by-step explanation:
First Multiply two of the numbers, for example, 15 x 6 and then multiply that by the last number, 90 x 13 and thats your answer. Hope it helps!
Can you pls find the surface area AND volume? ITS WORTH 50 points
Answer:
64
Step-by-step explanation:
Answer:
Solution given:
r=4in
h=4in
surface area=2πr(r+h)=2π*4(4+4)=64π or201.06ft²
Volume=πr²h=π*4²*4=64π or 201.06ft³
calculate the distance between the points J = ( -7, 6) and F = ( -1, 1 ) in coordinate plane
Step-by-step explanation:
d=√(x2-x1)²+(y2-y1)²
d=√(-1+-7)²+(1+6)²
d=√(-8)²+(7)²
d=√64+49
d==√113
d=10.6
Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)
-90 + x = 180
What is the answer ?
Answer:
x = 270
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-90 + x = 180
Step 2: Solve for x
[Addition Property of Equality] Add 90 on both sides: x = 270Answer:
x = 270
Step-by-step explanation:
- 90 + x = 180
Add 90 to each side of the equation.
- 90 + 90 + x = 180 + 90
Combine like terms.
x = 270
Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for speeding if they ran a red light?
Answer:
four out of 100 (4%)
Step-by-step explanation:
Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?
A: $240.31
B: $245.83
C: $230.12
D: $229.81
ANSWER:
245.83
Step-by-step explanation:
16,780/100=167.8
167.8 x 1.465= 245.827
Using unitary method, Adam's monthly payment is 245.83 dollar.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.
Learn more about unitary method here
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plwaseeee helppp!! plelalslsllslslz
Answer:
45 degrees
opposite angles are the same so
30+30=60
105+105=210
210+60=270
360-270=90
but since we have 2 angles we divide it by 2
so angle 1 is 45 degrees
hope it helps :)
What angle is this
A. Vertical
B. Adjacent
C. Supplementary
D. Complementary
Can be multiple answers
Answer:
A and D
Step-by-step explanation:
3 3/4 - 1 2/3 iready
Answer: 2 1/12
Step-by-step explanation:
Brie saves her $5 weekly allowance for several weeks and uses the money to buy a game for $32. She has $8 remaining. For how many weeks did Brie save her allowance
Answer:
8 weeks
Step-by-step explanation:
hope this helps!!
What is the real number of ∞?
Answer:
Infinity is not a real number, its an idea.
Step-by-step explanation:
An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.