Answer:
[tex]x = 0[/tex]
[tex]y=4[/tex]
Step-by-step explanation:
Given
[tex]8x + 9y = 36[/tex]
[tex]3x + 4y = 16[/tex]
Required
Solve using substitution method
Make x the subject in [tex]3x + 4y = 16[/tex]
[tex]3x = 16 - 4y[/tex]
Divide through by 3
[tex]x = \frac{1}{3}(16 - 4y)[/tex]
Substitute [tex]\frac{1}{3}(16 - 4y)[/tex] for x in [tex]8x + 9y = 36[/tex]
[tex]8*\frac{1}{3}(16 - 4y) + 9y = 36[/tex]
[tex]\frac{8}{3}(16 - 4y) + 9y = 36[/tex]
Open bracket
[tex]\frac{8}{3}*16 - \frac{8}{3}*4y + 9y = 36[/tex]
[tex]\frac{8*16}{3} - \frac{8*4y}{3} + 9y = 36[/tex]
Multiply through by 3
[tex]3 * \frac{8*16}{3} - 3 *\frac{8*4y}{3} +3* 9y = 36*3[/tex]
[tex]8*16 - 8*4y +3* 9y = 36*3[/tex]
[tex]128- 32y +27y = 108[/tex]
[tex]128-5y = 108[/tex]
Collect Like Terms
[tex]-5y = 108-128[/tex]
[tex]-5y = -20[/tex]
Make y the subject
[tex]y = \frac{-20}{-5}[/tex]
[tex]y=4[/tex]
Substitute 4 for y in [tex]x = \frac{1}{3}(16 - 4y)[/tex]
[tex]x = \frac{1}{3}(16 - 4*4)[/tex]
[tex]x = \frac{1}{3}(16 - 16)[/tex]
[tex]x = \frac{1}{3}(0)[/tex]
[tex]x = 0[/tex]
Select the correct answer.
For which function is f(x) equal to f-1(x)?
A. F(x)=x+6/x-6\
B. F(x)= x+2/x-2
C. f(x) = x+1/x-1
D. f(x) = x+5/x-5
Answer: D
Step-by-step explanation: They are greater than the lengths of the sides of the base.
Look at pic
Time in Weeks
Which panda was heavier when they were born?
In a triangle ABC, one measure 68, another measure 19, what is the measure of the third angle? Thank you !
Answer:
third angle = 93 degrees
Step-by-step explanation:
all triangles have 180 degrees
180 - 68 - 19 = third angle
third angle = 93 degrees
Answer:
93 degrees
Step-by-step explanation:
180 - (68 + 19) = 93
Hope that helps!
Assignment is past due to
00:00
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y= { x + 2
2y = x + 4
The system of equations has infinitely many solutions
The two equations represent Choose
Choose
intersecting lines
the same line
parallel lines
Rach
Next
Answer:
The solution to the system of equation is (0, 2). The equation has only one solution.
Step-by-step explanation:
Given the system of equations
y= x + 2 .... 1
2y = x + 4 ... 2
Substitute equation 1 into 2;
From 2; 2y = x+4
2(x+2) = x+4
2x+4 = x+4
2x - x = 4-4
x = 0
Substitute x = 0 into 1;
From 1; y = x+2
y = 0+2
y = 2
Hence the solution to the system of equation is (0, 2). The equation has only one solution.
Answer:
The system of equations has
infinitely many solutions
The two equations represent
the same line
Step-by-step explanation:
Divide the following. Put your answer in
scientific notation.
(77) divided by (4.9 X10^6)
Answer:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
Step-by-step explanation:
Standard Notation:
122500 + 3655 = 1.26155 x 10 to the power 5
Scientific Notation:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
E Notation:
1.225e5 + 3.655e3 = 1.26155e5
Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/8 of a mile. How many students will a team need to complete the race?
The length of a rectangle is (3 + √7)m and its width is (1 + 2√7)n. What is the
area of the rectangle?
Answer:
[tex]A=(17+7\sqrt7)\ m^2[/tex]
Step-by-step explanation:
Given that,
The length of the rectangle, [tex]l=(3+\sqrt7)\ m[/tex]
The width of the rectangle, [tex]b=(1+2\sqrt{7} )\ m[/tex]
We need to find the area of the rectangle. We know that the area of the rectangle is given by :
[tex]A=l\times b[/tex]
Put all the values in the above formula.
[tex]A=(3+\sqrt7)\times (1+2\sqrt7)\\\\=3+3\times 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2[/tex]
So, the area of the rectangle is [tex](17+7\sqrt7)\ m^2[/tex].
Combine like terms to simplify the expression: ill mark brainliest
7 − 3x + 3 + 8x = ______
8 + 5x
10x
10 + 5x
4 + 11x
8 − 5x pls fast ill give brainlyest
Help please! Could you explain it too?
Answer:
a) not proportional
b) proportional; k = [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Which inequality is true?
A.
|-5| > |-7|
B.
|-8| < |-5|
C.
|9| < |7|
D.
|-9| > |8|
Answer:
Okawa's favorite food is milk bread! His personal Motto is.....
The answer is D. |-9| > |8|
Answer:
D. |-9| > |8|Step-by-step explanation:
Consider that the absolute value is always positive. Then it is easy to compare.
A.
|-5| > |-7|5 > 7 - incorrectB.
|-8| < |-5|8 < 5 - incorrectC.
|9| < |7|9 < 7 - incorrectD.
|-9| > |8|9 > 8 - correctPamela is 5 years younger than Jiri. The sum of their ages is 81. What is Jiri's age?
Answer: Jiri is 43 years old
Step-by-step explanation:
Let x be the age of Pamela, and (x+5) be the age of Jri
Expression
x+(x+5)=81
Expand paranthesis
x+x+5=81
Combine like terms
2x+5=81
Subtract 5 on both sides
2x+5-5=81-5
2x=76
Divide 2 on both sides
2x/2=76/2
x=38
Since we've set Jiri's age as (x+5), we need to substitute the value of x
x+5=38+5=43
Hope this helps!! :)
Please let me know if you have any questions
A baseball has a diameter of 2.8 inches. How many baseballs will fit in a cylindrical barrel
that has a diameter of 4 ft and a height of 6 ft?
Answer:
5935 base balls
Step-by-step explanation:
Volume of a cylinder : pi * r² * h
r = Radius, h = height = 6ft
Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft
V = π * 2^2 * 6
V = 75.398223 ft³
Diameter of baseball = 2.8 inches
2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³
Hence,
75.398223 ft³ / 0.0127037ft³
= 5935.1370
= 5935 base balls
g Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 76 and 124? (b) What percentage of people has an IQ score less than 64 or greater than 136? (c) What percentage of people has an IQ score greater than 136?
Answer:
a) 95% of people has an IQ score between 76 and 124.
b) 0.3% of people has an IQ score less than 64 or greater than 136.
c) 0.15% of people has an IQ score greater than 136
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 100
Standard deviation = 12
(a) What percentage of people has an IQ score between 76 and 124?
76 = 100 - 2*12
124 = 100 + 2*12
So within 2 standard deviations of the mean, and the percentage is 95%.
(b) What percentage of people has an IQ score less than 64 or greater than 136?
64 = 100 - 3*12
136 = 100 + 3*12
99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136.
(c) What percentage of people has an IQ score greater than 136?
0.3% of people has an IQ score less than 64 or greater than 136.
Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.
Lines R and S are parallel. Find the value of x, then find the measure of 21 and 22.
m21=(74 - x)º
m22 =(85 – 2x)
Answer:
a) The value of x = 11°
b) m21 = 63°
m22= 63°
Step-by-step explanation:
Step(i):-
Given that the lines R and S are parallel
Given that M21 = (74-x)°
M22 = (85-2x)°
Equating angles
(74-x)° = (85-2x)°
74 - 85 = x -2x
-11 = -x
x = 11°
Step(ii):-
Put x = 11°
⇒ m21 = ( 74 -11) ° = 63°
⇒ m22 = (85-2(11))° = (85-22)° = 63°
Final answer:-
a) The value of x = 11°
b) m21 = 63°
m22= 63°
Whoever answers this will get branlyest
Answer:
10.8 ft
Step-by-step explanation:
6 goes into 18 3 times that means you multiply 3.6 by 3 and yo get 10.8 ft.
12-x
6
x+3
4
Solve for x
Step-by-step explanation:
x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)
Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.
Answer:
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
B.)
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
Step-by-step explanation:
Sample space :
Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
Event that the total number of head is even:
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
A GPA is usually an example of a
Answer:
Gpa is grade point average, it shows how well or high your scores in a subject or course on average . It’s an overall grade. It summarizes your final academic achievement or grade.
Step-by-step explanation:
Which inequality represents the sentence below?
Two more than a number is less than 14.
0 2+ns 14
O 2+n< 14
O 2+ n2 14
O >
2+n> 14
Answer:
it is b
Step-by-step explanation:
What is the probability of spinning a number greater than 5 on a spinner numbered 1-8 and tossing a tail on a coin
Answer:
3/16
Step-by-step explanation:
P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16
Answer:
12/64
Step-by-step explanation:
We have numbers 1-8 = /8
We have the numbers 6, 7, 8 on the spinner = 3/8
We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8
To use if the question has two events for spinner.
We toss a coin = H or T = 1/2
We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)
3/8 x 4/8 = 12/64
A vehicle is purchased for $19,800 and the lender requires a down payment of 20% of the purchase prize find the down payment
Answer:
the answer is 15840
Step-by-step explanation:
Help quick plzzzzz Plzzzzzzzzzzzzz
12873t456473892220-209873
Find x. Round to the nearest tenth.
By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.
How to find the missing angle
In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:
90² = 55² + 50² - 2 · 55 · 50 · cos X (1)
X ≈ 117.916°
To learn more on law of the cosines: https://brainly.com/question/17289163
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The owner of a tire company wants to determine how long a new type of tire tread will last by measuring the length of time, in days, it takes for the tire tread to reach 2 mm. Let μ = the true mean number of days it takes for the tire tread to wear to 2 mm. Which of the following sample sizes will have the least variability in the sampling distribution of the sample mean?
25
35
45
55
Answer:
35
Step-by-step explanation:
The sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We know in sampling distribution:
variance ∝ 1/√n
Because,
[tex]\rm \sigma_\bar{x} \ =\ \sigma_{\sqrt{n}}[/tex]
From the above relation, as the sample size is large, the variability is less.
For least variability,
The sample size must be large.
Thus, the sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.
Learn more about the population and sample here:
brainly.com/question/9295991
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I PUT THE PICTURE ALONG WITH THIs. SOMEONE PLEASE PLZ PLZ PLZ PLZ HELP ASAP.
Answer:
get math it will help you
Step-by-step explanation:
Two sections took the same vocabulary qui. Use the 5-number summary 20,30 35 45 80) to construct a boxplot for Section and use the summary 120.35.45.50.60] to construct a boxplatfor Section II. Use the same scales for both plats, of course. Based on the two boxplats, which of the following statements about the two sections CANNOT be ustes?
A. The median of Section il is greater than the median for Section L
B. About 75% of the scores in Section il are greater than the or equal to about 50% of the scores in Section
C. There are the same number of scores in Section and Section
D. The range of scores for Section is equal to the range of scores for Section II The interquartile ranges are equal for both sections.
Answer:
C. There are the same number of scores in Section and Section
Step-by-step explanation:
The median of section I is greater than the median of section L. Median is the middle value or midpoint in the data set. In the given quiz the data set has different numbers for every section and therefore the values are not same. The data set has 75% of scores in section il which is higher than the section L.
please help and explain , HURRY PLEASE !
A man owns stock valued at $2200. One day the stock drops by 6%, and then gains the same
percentage back the next day. How much money is the stock valued at the end of the second day?
Answer: 2192.08
Step-by-step explanation:
6/100=0.06
1 - 0.06= 0.94
1 + 0.06= 1.06
2200*094*1.06= 2192.08
The value of the stock at the end of the second day is $2192.08.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Value of stock = $2200
At the end of the first day →
6% decrement
6$ of 2200 ⇒ 2200 × 6/100 = 132
So,
2200 - 132 = $2068
At the end of the second day →
6% increment
6$ of 2068⇒ 2068× 6/100 = 124.08
So,
2068 + 124.08= $$2192.08
Hence "The value of the stock at the end of the second day is $2192.08".
For more about the percentage,
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please help with question
Which set of ordered pairs represents a function?
O{(-1,-6), (-1, -2), (5, -1), (7,-2)}
O {(5,-9), (-2, -7), (5,4), (3,7)}
O {(4,-4), (-4,-4), (-7, -2), (-6,6)}
{(-4, 7), (-4, - 7), (-3,6), (-6, -6)}
Answer:
Third 1
Step-by-step explanation:
A function can not have repeating x-values, but CAN have repeating Y-VALUES.
(x,y)
Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.