Answer:
The solution is (0,4).
Step-by-step explanation:
We are given the following system of equations:
[tex]8x + 9y = 36[/tex]
[tex]3x + 4y = 16[/tex]
Solving by substitution.
In the first equation, we have that:
[tex]8x + 9y = 36[/tex]
[tex]8x = 36 - 9y[/tex]
[tex]x = \frac{36-9y}{8}[/tex]
Replacing in the second equation:
[tex]3x + 4y = 16[/tex]
[tex]3\frac{36-9y}{8} + 4y = 16[/tex]
Multiplying everything by 7
[tex]3(36 - 9y) + 32y = 128[/tex]
[tex]108 - 27y + 32y = 128[/tex]
[tex]5y = 20[/tex]
[tex]y = \frac{20}{5}[/tex]
[tex]y = 4[/tex]
Now, with y, we can find x.
[tex]x = \frac{36-9*4}{8} = 0[/tex]
So the solution is (0,4).
Help ASAP I’ll mark brainliest
Answer:
a
Step-by-step explanation:
a is positive
b is idek just scattered
c is a scattered correlation aswell
d is a negative correlation
The prime factorization of a number is 3 x 4 x 4 x 4 x 7 x
7. What is the correct way to write this using exponential
notation?
Answer:
3 x [tex]4^{3}[/tex] x [tex]7^{2}[/tex]
Step-by-step explanation:
Help person right gets brainlist
Can someone guide me through this progress?
A school administrator claims that the average GPA of Which explanations are justified based on the evidence
the senior class is 3.53. You think that the average GPA you obtained? Check all that apply
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
It is possible that the population mean is 3.53, but
sample mean GPA is 3.70
the sample result is greater than that due to
You have some evidence that the mean GPA may be
sampling variability
greater than 3.53 because the sample mean of your It is possible that the school administrator made a
random sample is 3.70.
mistake, and the population mean is greater than
3.53
The fact that the sample mean is greater than the
claimed population mean proves that the average
GPA of the senior class is greater than 3.53
The sample mean of 3.70 cannot be correct
because the claimed population mean is 3.53.
The population mean of 3.53 cannot be correct
because the calculated sample mean is 3.70
Done
Answer:
its the first two
It is possible that the population mean is 3.53, but the sample result is greater than that due to sampling variability.
It is possible that the school administrator made a mistake, and the population mean is greater than 3.53.
Step-by-step explanation:
edg 2021
Answer:
A
B
Step-by-step explanation:
EDG 2020-2021
Write an expression that is equivalent to
5(a+3b)+6+8a+12
Answer:
13a+15b+18 is the answer hope it helps
Answer:
[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]
Step-by-step explanation:
Expanding rules (and rearranging) gives us that
[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]
Factor completely 4x^2 + 3x - 10.
A) (4x - 2)(x + 5)
B) (4x + 2)(x - 5)
C) (4x - 5)(x + 2)
D) (4x + 5)(x - 2)
Answer:
(4x-5)(x+2)
Step-by-step explanation:
factor -4x+24-4x^2completely
Answer: 4(−x+2)(x+3)
Step-by-step explanation:
−4x+24−4x^2
−4x^2−4x+24
4(−x+2)(x+3)
How much is nine times eight ?
3(x-4)= 2(x + 5)
Find the number
Answer:
x=22
Step-by-step explanation:
Reorder the terms:
3(-4 + x) = 2(x + 5)
(-4 * 3 + x * 3) = 2(x + 5)
(-12 + 3x) = 2(x + 5)
Reorder the terms:
-12 + 3x = 2(5 + x)
-12 + 3x = (5 * 2 + x * 2)
-12 + 3x = (10 + 2x)
Solving
-12 + 3x = 10 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-12 + 3x + -2x = 10 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-12 + 1x = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10
Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12
Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12
Combine like terms: 10 + 12 = 22
1x = 22
Divide each side by '1'.
x = 22
Simplifying
x = 22
According to Open Data Network, in 2016 there were approximately 3,737 people per square mile in Houston, Texas. If Houston, Texas is 600 square miles, approximately how many people lived in Houston, Texas in 2016?
Answer:
Number of people lived in Texas = 2,242,200
Step-by-step explanation:
Given:
People per square mile = 3,737
Area of Texas = 600 square mile
Find:
Number of people lived in Texas
Computation:
Number of people lived in Texas = People per square mile x Area of Texas
Number of people lived in Texas = 3,737 x 600
Number of people lived in Texas = 2,242,200
What is the perimeter of a rectangle with two lentghs of 5
Answer:
20
Step-by-step explanation:
in perimeter you have to add all the sides but rectabgless all have the same size so 5 x 4 since rectangle has 4 sides equls 20 so 20 is the answer
find the product (a + 3)(a - 2)
Answer:
a2 + a − 6
Step-by-step explanation:
the a with the 2 beside of it is to the power of
Radon is a naturally occurring gas and is the second leading cause of lung cancer in the United States. It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. Several methods can reduce the levels of radon in your home, and the Environmental Protection Agency ecommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from Franklin County, Ohio, where the county average is 9.32 picocuries per liter, were 5.2, 13.8, 8.6, and 16.8.
Required:
a. Find the mean step-by-step.
b. Find the standard deviation step-by-step.
Answer:
a) mean = 11.1
b) Standard Deviation = 5.191
Step-by-step explanation:
Given the data in the question;
x = 5.2, 13.8, 8.6, and 16.8
sample n = 4
so;
x ( x - mean)²
5.2 34.81
13.8 7.29
8.6 6.25
16.8 32.49
∑ 44.4 80.84
a) Mean
Mean = total sum of the sample divided by the sample size
mean = ∑x / n
we substitute
mean = 44.4 / 4
mean = 11.1
b)
Standard Deviation is the Square root of variance;
Variance = ∑(x-mean)² / n - 1
we substitute from the above table
Variance = 80.81 / 4 - 1
Variance = 80.81 / 3
Variance = 26.94667
now since Standard Deviation is the Square root of variance;
Standard Deviation = √Variance
Standard Deviation = √26.94667
Standard Deviation = 5.191
Simply the expression by combining like terms 6x+9+2x+4
pls help :(
more than one answer btw
Answer:
A, C, E
Step-by-step explanation:
hope this helps!
Answer:
I think it is A, C, E
Step-by-step explanation:
A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.
Answer:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Step-by-step explanation: pls brain list
HELP!! RLLY EASY HELP I WILL MAKE 5 STARS AND BRAINLY IF CORRECT!
Answer:
area of the parallelogram =base × height
area of the parallelogram = 7.5×2.8=21
area of parallelogram = 21 inches.
Trayvion measured his basketball rim. The radius of the rim is \large 7\frac{1}{2} inches. What is the circumference of the rim?
a
176.6 inches
b
47.10 inches
c
23.55 inches
d
6.5 inches
Answer:
(b) 47.10 inch.
Step-by-step explanation:
C = 2πr
C ≈ 2 × 3.14 × 7.5 = 47.1 inches
i need help on math plz help me fast
Answer:
The smaller shape has 84% of the larger shape's area.
Step-by-step explanation:
Larger shape: 15 × 12 = (12 × 3) + (12 × 12) = 36 + 144 = 150 + 30 = 180
Smaller shape: 6 × 4.8 = (6 × 4) + (6 × 0.8) = 24 + 4.8 = 28.8
The percent difference is the absolute value of the quotient of the difference between the new value and the original value divided by the original value and then all multiplied by 100. (percentages are really just a fraction of 100)
[tex]|\frac{28.8-180}{180}|*100=|\frac{-151.2}{180}|*100=|-0.84|*100=0.84*100=84[/tex]
% difference = 84%
Hope this helps! Have a great day!
l4legitv3, I know you're really mad at me for getting your alternate account banned. I'm sorry. I only did that because you were acting rude, and I don't like that. I'm tired of being chased all over the place for getting someone banned. I'm willing to become your friend if you'll stop reporting me for that incident. Let's put the past in the past, 'kay?
can somebody solve this question for me and explain it
Answer:2
Step-by-step explanation:
What is 1.905 written as a mixed number in simplest form?
Answer:
1 9/10
Step-by-step explanation:
If you need this as a fraction then the answer is probably 1 9/10
The required mixed number for 1.905 is 1 905/1000 or 1 9 / 10.
Given that,
To determine the mixed fraction of 1.905.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
A mixed number is a number consisting of a whole number and a proper fraction.
The given number,
= 1.905
= 1 + 0.905
= 1 + 905 / 1000
= 1 905 /1000
Thus, the required mixed number for 1.905 is 1 905/1000 or 1 9 / 10.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Carpenters earn an average of $1120 less
per month than designers at a furniture
factory in Smithville. The factory employs
3 designers and 15 carpenters. Let x
represent the average monthly pay of a
designer
Which of the following functions correctly
shows the relationship between the
monthly payroll (P) and the wages of these
employees?
(1) P= 3x + 15(x - 1120)
(2) P= 3(x - 1120) + 15x
(3) P = 3(x - 1120) + 15(x -
1120)
(4) P= 3 + x + 15 + (x - 1120)
(5) P = 3(x)(15)(x - 1120)
A triangle has two sides that measure 5 cm and 7 cm. Which of the following CANNOT be the measure of the third side? A 3 cm B 5 cm C 7 cm D 12cm
Answer:
D
Step-by-step explanation:
Saying the number of |`s is the number side and |<|||>|| then for a triangle i can say |+||>|||
a hospital bill is estimated to be $480. It ends up actually costing the patient $524.50. What is the percent of error in the bill?
Answer:
8.48%
Step-by-step explanation:
Given that,
The estimated bill = $480
Actual costing of the bill = $524.50
We need to find the percent error in the bill. It can be calculated as follows :
[tex]\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%[/tex]
So, the percentage error in the bill is 8.48%.
Use the drop down menus to complete the statement to match the information shown by the graph
Answer:
yes ikow
Step-by-step explanation:
you can do that if you want to buy
Answer:
where the graph?
Step-by-step explanation:
Please help me Answer this :)
( Will give brainlst!!)
<3
Answer:
C) Proton
D) Electron shell/ orbit
E) Neutron
Hope this will help you!
Answer:
proton
electron shells
neutron
A security keypad uses five digits (0 to 9) in a specific order. How many different keypad patterns are possible if the first 4 digits must be even and the last digit cannot be zero, one or two?
Number of possible codes =
Answer:
g
Step-by-step explanation:
Jackie decorated 4 posters in 24 minutes. At that rate, how many minutes would it take to decorate 12 posters?
Answer:
72 mins
Step-by-step explanation:
24/4 = 6
So each poster take 6 mins to decorate
12 x 6 = 72
What single decimal multiplier would you use to decrease by 3% followed by a 4% increase?
Answer:
The single decimal multiplier is 26%.
Step-by-step explanation:
Since we have given that
You use to increase by 5% followed by 20% increase.
So, the single decimal multiplier would be
Hence, the single decimal multiplier is 26%.