Answer:
hi
Step-by-step explanation:
Answer:
The true statements are:
the first statement: Systems A and C have the same solution
the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18
the fifth statement: Systems A and B have different soltuoins.
Explanation:
1) The first statement: systems A and C have the same solutiotn: TRUE
The fourth statement proves that that the two systems are equivalent which means that both have the same solution.
2) The second statement: All three systems have different solutions: FALSE
The fourth statement proves that the systems A and C have same solution, so this second statement is false.
3) The third statement: Systems B and C have the same solution: FALSE
You can solve the two systems and will find the solutions are different
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2
=> solution x = -1 and y = -2
Solution of system C.
2x - 3y = 4
12x - 3y = 54
subtract
4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE
Look:
Second equation of system C = 12x - 3y = 54
Divide by 3:
12x - 3y 54
----------- = -----
3 3
Distributive property:
12x 3y
------ - ----- = 18
3 3
4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.
5) The fifth statement: systems A and B have different solutions: TRUE
You can solve the two systems and will find the solutions are different
Solution of system A:
2x - 3y = 4
12x - 3y = 54 since it is equivalent to 4x - y = 18
-------------------
12x - 2x = 54 - 4 subtracting the first equation from the secon
10x = 50 adding like terms
x = 5 dividing by 10
From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6
=> y = 6 / 3 = 2
=> x = 5, y = 2
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
Which is enough to prove that the two systems have different solutions.
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
Wyatt buys a one-quart bottle of juice for $4.80. How many fluid ounces of juice did Wyatt buy?
Answer:
Step-by-step explanation:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate =
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
Answer:
Wyatt bought 32 fluid ounces.
Step-by-step explanation:
If Wyatt bought a 1 quart bottle of juice, (which you would need to convert into fluid ounces) but every 0.1 quarts of juice would be 3.2 fluid ounces. And if 0.5 quarts of juice is 16 ounces we could do 16 + 16 (fluid ounces) and we would get 32 fluid ounces in total.
And that's how you get the answer! :)
During an local election the ratio of teens to adults who voted was 9.3. If 732 people voted how many were teens
Answer: 549
Step-by-step explanation:
Given
The ratio of teens to adults is 9:3
The total number of people who voted is 732
let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3
So, we can write
[tex]\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61[/tex]
No of the teens were [tex]9x=9\times 61=549[/tex]
Calculate the volume of a rectangular prism with a height of 2 ft, length of 2 ft, and a width of 5.5 ft.
[tex]22ft^{3}[/tex]
[tex]9.5ft^{3}[/tex]
[tex]10,648ft^{3}[/tex]
[tex]11ft^{3}[/tex]
You are putting money into a bank account. You start with $100 and add $12 every month. The total amount of money in your account can be represented by the following equation. (where T is total amount and M is the number of months):
T = 100 + 12 M
If you have $208, how many months have passed?
Show the equation and how you got the answer.
100
Add 12 every month
Ex: 100 + 12
100 + 12 + 12+ 12+ 12+ 12+ 12+ 12+ 12+ 12
It wound not be 100 x 9 because 100 x 9 is 900
Therefore 9 months
9 x 12 = 108
so that would be 100+108= 208
Hope this helps~
Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip?
Answer:
215 students
Step-by-step explanation:
500 divided by 2 = 250
250 - 35 each= 215
The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. How high does the
ball rise before starting to drop downward?
48 ft
O 100 ft
O 116 ft
O 64 ft
Answer:
The first one is: H=-6 and t=0
The second one is:16x(3t+4)
And i think the answer is:116
Step-by-step explanation:
Correct me if i'm wrong
In the last 4 seasons, Luis scored 14,18, 15, and 25 goals. How many goals does he need to score this year, to end the season with an overall average of 20 goals per season? O A. 29 O B. 27 O C. 30 O D. 28
Answer:
28
Step-by-step explanation:
For Luis to get a mean of 20 he would need:
14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20
Therefore 14 + 18 + 15 + 25 + x = 100
Solve for x to get 28
asap please help for brain list
If a+b = c which of the following statements is true?
b-c=a
a-c=b
c-a=b
c+b= a
Answer:
c-a=B
Step-by-step explanation:
if A+B=c then you subtract a from c and you get b
Answer:
C. c - a = b
Step-by-step explanation:
a + b = c
There are many ways to rearrange this equation. This can be done through addition and subtraction.
First, let's handle a. a is positive; therefore, we should subtract it.
a + b = c
b = c - a
Next, let's handle b. b is also positive; therefore, we should subtract it.
a + b = c
a = c - b
Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.
From our options, we can see that we have produced: b = c - a
This is an option, which has been written as c - a = b.
Therefore, your answer is C. c - a = b
Hope this helps!
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 6800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xxx, the number of 100-kilogram crates that can be loaded into the shipping container.
Answer:
x ≤ 207 crates
Step-by-step explanation:
Greatest weight of the container = 27,500 kilograms
Weight of other shipment = 6,800 kilograms
Weight of a crate = 100 kilograms
Number of 100-kilogram crates that can be loaded into the shipping container = x
The inequality is
27,500 ≤ 6800 + 100x
27,500 - 6800 ≤ 100x
20,700 ≤ 100x
x ≤ 20,700 / 100
x ≤ 207 crates
Moe painted the lid of a barrel. The circumference of the lid is 32 inches. Which
measurement is closest to the area of the lid in square inches?
Answer:
A ≈ 81.487 in²
Step-by-step explanation:
We know that circumference is C = 2πr, where r is the radius.
So,
C = 2πr
32 = 2(3.14)r
[tex]r=\frac{32}{2(3.14)}[/tex]
r ≈ 5.093 in
We also know that the formula for the area of a circle is A = πr², so:
A = πr²
A = (3.14)(5.093)²
A ≈ 81.487 in²
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he
earns for recycling p pounds of newspaper if p > 10?
A
5 +0.25 (p - 10)
B
(5 +0.25) P
с
5 + 0.25p
D
5 (10) +0.25p
A
Question 14
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then 50 25 for each additional pound. Which expression ropresents the amount he earns for recycling p pounds of newspaper if p > 10?
5+0.25 (p-10)
(5 +0.25) P
5 +0.25p
5 (10) +0.25p
B
С
D
Complete Question
Question 14
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he earns for recycling p pounds of newspaper if p > 10?
a. 5+0.25 (p-10)
b. (5 +0.25) P
c. 5 +0.25p
d.5 (10) +0.25p
Answer:
5 (10) +0.25p
Step-by-step explanation:
Let the number of additional pounds = x
Hence:
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound.
The statement above is represented as:
$5 × 10 + $0.25 ×p
= 5(10) + 0.25(p)
Therefore, the expression that represents the amount he earns for recycling p pounds of newspaper if p > 10 is written as
5(10) + 0.25(p)
Option d is the correct option
Write 9 19/20
as a decimal.
Answer:
9.95
Step-by-step explanation:
Answer:
9 19/20 = 9.95
Step-by-step explanation:
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!! with (11)(−4) 12=
Answer:
you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528
Step-by-step explanation:
7. What is the missing measure?
12 cm
x х
3 cm
A 8 cm
B 4 cm
9 cm
C 6 cm
D 3 cm
Out of 1200 people polled, 30% do not like radio, and 10% of the people who do not like radio also do not like music. How many people polled do not like both radio and music?
Answer:
10% of people don't like either. Your answer is 120 people.
Step-by-step explanation:
An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?
Answer:
66°
Step-by-step explanation:
Given that :
Right angle measure of a triangle are used in a design :
A right angles triangle has one of its angle equals 90 ;a
Since the second angle is given as 24 ; b
The measure of the third angle ; c will be :
Sum of angles in a triangle = 180
(a + b + c) = 180
(90 + 24 + c) = 180
c = 180 - 114
c = 66°
what does x= in each of the questions
Answer:
x+35/5=2
x+35=10
x=-25
Answer:
[tex]\frac{1}{5} x[/tex]+7=2, x=-25
[tex]\frac{m}{7} -7=3[/tex], m= 105
[tex]\frac{3}{5} x+7=-20, x= -45[/tex]
[tex]-\frac{2}{7} t+5=17, t=-42[/tex]
4.9x+4.2=9.1, x=1
Explanation for last two:
[tex]-\frac{2}{7}t+5=17[/tex]
Step 1: Subtract 5 from both sides.
[tex]\frac{-2}{7} t+5-5=17-5[/tex]
[tex]\frac{-2}{7} t=12[/tex]
Step 2: Multiply both sides by 7/(-2).
[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]
t=−42
4.9x+4.2=9.1
Step 1: Subtract 4.2 from both sides.
4.9x+4.2−4.2=9.1−4.2
4.9x=4.9
Step 2: Divide both sides by 4.9.
[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]
x=1
8
Which expression is equivalent to 4.8 + 2.2w – 1.4w + 2.4?
Answer:
7.2 + 0.8w
Step-by-step explanation:
Combine like terms.
Here Like terms: i) 2.2w and (-1.4w)
II) 4.8 and 2.4
4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w
= 7.2 + 0.8w
If You Had Three Wishes, What Would You Wish For?
Answer:
I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions
Step-by-step explanation:
thats only for brainly though
Answer:
My three wishes would be:
1: Get all staright A's
2: the sickness that starts with C thats going around goes away forever
3: Have some cheesecake.
Step-by-step explanation:
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
C.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answer:
0
Step-by-step explanation: i did the lesson
What is the value of x?
Answer:
x = 39
Step-by-step explanation:
The angle between a tangent and the radius of a circle at the point of contact is 90° , then
x = 180 - (90 + 51) = 180 - 141 ← angle sum of triangle
x = 180 - 141 = 39
x + 51 = 90
x = 90 - 51
x = 39°
a) 23 x 11 - 23 x 10
Step-by-step explanation:
= 23 × 11 - 23 × 10
= 23 ( 11 - 10)
= 23 ( 1)
= 23
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Bonnie's doctor recommended that she drink 2cups of milk per day. If she buys 3 quarts of milk,will it be enough milk to last 1 week?
Answer:
She does not have enough milk to last for 1 week
Step-by-step explanation:
From the question, we are told that:
Bonnie's doctor recommended that she drink 2cups of milk per day.
Step 1
The number of days in a week is 7 days
Hence
1 day = 2 cups of milk
7 days = x
Cross Multiply
x = 7 × 2 cups of milk
= 14 cups of milk.
Step 2
If she buys 3 quarts of milk,will it be enough milk to last 1 week?
We have the conversion rate as:
1 quart = 4 cups
Therefore,
1 quart = 4 cups
3 quarts = x cups
Cross Multiply
x cups = 3 quarts × 4 cups/1 quart
x cups = 12 cups of milk
This means she bought 12 cups of milk.
Therefore, from the above calculation, she does not have enough milk to last for 1 week because due to her doctor's recommendation, she need 14 cups of milk for the week but she only bought 12 cups of milk
Answer:
70
Step-by-step explanation:
68+2
jose is now six years older than john. in two years jose will be twice as old as john. How old is john now.
Answer:
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠾⠛⠋⠉⠀⢀⣀⠐⣤⣶⣶⡤⢤⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣰⣶⣾⣿⣿⣿⣆⠀⣀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢀⢀⣀⠀⣀⣈⡿⠿⠿⠽⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⠿⠿⠿⠾⠟⢁⣀⡴⣦⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣤⣀⣀⠀⠀⠀⠀⢘⣿⣍⡷⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠈⠉⠛⠛⠿⠓⠀⠉⠋⠉⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠙⠻⢶⣶⡤⠀⠀⠛⠶⠾⠼⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠈⠻⣶⣤⡀⠀⠀⢸⠿⣶⣦⣤⣠⣾⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠙⢷⣤⣀⠈⠁⠀⠀⢠⣤⣀⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢧⣀⠉⠛⠃⠀⠀⠀⠀⠉⠛⠿⠿⠻⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢳⣄⠙⠛⢋⠁⠀⠀⠀⠘⠿⣴⣤⣄⣤⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⡙⠛⠋⠀⠀⠀⠀⠀⠰⣤⣀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⡈⠉⠉⠀⠀⠀⠀⠀⠀⢀⡈⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡉⠛⡁⠀⠀⠀⠀⠀⠀⠈⠻⠷⣶⣦⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡈⢷⣌⠙⠛⠁⠀⠀⠀⠀⠀⠀⠰⣦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡉⠛⠛⠀⠀⠀⠀⠀⠀⠀⢀⠈⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⠉⠛⠷⠖⠀⠀⠀⠀⠀⠀⠀⠘⠿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣀⠙⠳⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⢠⠛⠛⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠰⣦⣄⠈⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠺⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠁⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣀⣀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣻⣿⣿⣔⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠉⠁⠀⠀⠀⠀
Step-by-step explanation:
Answer:
John is currently 6 years old.
You can find this by setting John's original age as x and Jose's original age as x + 6. Then we can set up an equation adding two to both.
John's new age = x + 2
Jose's new age = x + 8
Now we can multiply John's new age by two and set equal to Jose's age, since Jose's new age is twice as much as John's.
2(x + 2) = x + 8
2x + 4 = x + 8
x + 4 = 8
x = 4
This means John's original age is 4 and his new age is 6.
Step-by-step explanation:
State whether the sequence is Arithmetic, Geometric, or Neither: 40, 43, 46, 49, ......
Answer:
t2-t1 =43-40
Step-by-step explanation:
you subtract the second term by the first term to get the common difference
At the beginning of March, a store bought a rake at a cost of 9$ and marked it up 130%. At the end of the month, the rake had not sold, so the store marked it down 50%. What is the discounted price?
Answer:
the new discounted price is $5.85
Step-by-step explanation:
First convert 130% into a decimal: 130 ÷ 100 = 1.3
Next multiply 1.3 by 9: 9 x 1.3 = 11.7
Then convert 50% into a decimal: 50 ÷ 100 = 0.5
Last multiply 11.7 by 0.5: 11.7 x 0.5 = 5.85