Answer:
See explanation below
Step-by-step explanation:
A system of linear equations is a system that is formed when you have two or more variables, for example:
[tex]x=2y+z\\3y-4x=7y+2z\\2y+z=4x+3y[/tex]
In this case, we have 3 equations with 3 variables in total (x, y and z). Thus, we would need to solve a system of linear equations (they are linear because none of the variables have exponents).
On the other side, a single linear equation has only one variable that we need to find, for example:
[tex]3x=\frac{5}{3}[/tex]
In this case we would just have to solve for x
[tex]3x=\frac{5}{3} \\9x=5\\x=\frac{5}{9}[/tex]
Thus, we need to solve a system of linear equations when we have more than one variable (and more than one equations) as opposed to when we have just one variable and a single equation (single linear equation)
A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
2.86cm
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes the following:
Volume (V) = 187cm3
Height (h) = 7.3cm
Pi (π) = 3.14
Radius (r) =..?
Step 2:
Determination of the radius of the cylindrical water bottle.
The radius of the cylindrical water bottle can be obtained as follow:
V = πr^2h
187 = 3.14 x r^2 x 7.3
Divide both side by 3.14 x 7.3
r^2 = 187 / (3.14 x 7.3)
Take the square root of both side
r = √[187 / (3.14 x 7.3)]
r = 2.86cm
Therefore, the radius of the cylindrical water bottle is 2.86cm
What is 13 - 4 x = 1 - x?
Answer:
x=4
Step-by-step explanation
Answer:
x = 4
Explanation:
how do you write 2x - 2y = 8 in slope-intercept form ?
Answer:
y=x-4
Step-by-step explanation:
The general scaffold for the slope intercept form is y=mx+b, where m is the slope and b is the y intercept. You can rearrange the equation that you are given like this:
2x-2y=8
-2y=-2x+8
y=x-4
Hope this helps!
Answer:
Rearrange the equation so that it is written in slope intercept form:
y=mx+b.
2x+2y=8.
2y=−2x+8.
y=−x+4.
Michael has three quarters two dimes + 3 nickels in his pocket he randomly draws two coins from his pocket at one time and they are both times he says the probability of that occurring as 1 out of 4 because two of the eight coins are dimes is he correct explain
Answer:
He is correct
Step-by-step explanation:
Here, we have 3 types of coins which are;
3 quarters
2 dimes
3 nickels
Now, we want to obtain the probability that if two coins are selected, both will be dimes.
Now, this probability is kind of delicate. This is because he is selecting only at a single time, the two coins.
Thus, the probability of the two coins coming out at the same time and they are both dimes will be 2/8 = 1/4
This shows that she is correct.
Kindly note that our answer is 1/4 because she is making the selection at the same time and not once at a time
s= ut + 1/2 at x2
u=10
a=-2
t=1/2
work out the value of s
Answer:
s = 4 3/4.
Step-by-step explanation:
The formula is s = ut + 1/2 at^2
so s = 10^1/2 + 1/2 * -2 * (1/2)^2
s = 5 - 1/4
= 4 3/4.
Leila and Jo are two of the partners in a business. Leila makes $4 in profits for every $5 that Jo makes. If Jo makes $60 profit, how much profit does Leila make?
Answer:
Leila would make a profit of $48
Step-by-step explanation:
~ Knowing that there is some sort of proportion that can be formed through Leila and Jo's profit, we could form even a proportionality to compute the profit Leila makes given jo's profit of $60 ~
If is is known that Leila: Jo, 4: 5, we could form such a proportion:
4 5 ⇒ where x - Leila's profit knowing Jo's profit of $60
x 60
Now let us solve for x, through cross multiplication:
5x = 60 * 4,
5x = 240,
x = profit of $48
Simplify. 6x+3−(x+1) =
Answer:
5x +2
Step-by-step explanation:
6x+3−(x+1) =
Distribute the minus sign
6x +3 -x -1
5x +2
Answer:
[tex]5x + 2[/tex]
Step-by-step explanation:
[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the probability of rolling a number cube and getting a number greater than four?
A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Which BEST decreases the validity of the claim? A.Only 50 cleaning services were surveyed. B.Cleaning services were selected at random. C.A well-known company conducted the survey. D.Only one cleaning product was asked about in the survey.
Answer:
D. Only one cleaning product was asked about in the survey.
Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.
Step-by-step explanation:
the other options are wrong because:
A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim. C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.State the slope and y-intercept of the graph of the equation y = 3x + 2
The slope is _________.
The y-intercept is ____________-
Three fifths of the sum of 13 and 6
Answer: 11.4
Step-by-step explanation:
change to numbers [tex]\frac{3}{5} (13+6)[/tex]
simplify [tex]\frac{3}{5} (19)\\11.4[/tex]
Someone help me pleaseeee
Answer: x=44°
explanation: because the angles in a triangle add up to 180° and since the latter or whatever goes straight up it is 90° and the other angle is 46° so 180=90+46+x.
Subtract 90 from both sides of the = and it becomes 90=46+x.
Then you subtract 46 on both sides and you get 44=x
easy geometric shapes question!
Answer:
Cylinder
Step-by-step explanation:
The given geometric shape is of a cylinder.
Answer:
Cylinder
Step-by-step explanation:
The shape will make a cylinder if put together.
Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left?
1.Dividing a number by 10 is the same as subtracting the number ten times.
2. Dividing by 10 is the same as removing a zero.
3. Moving the decimal point left makes the number smaller.
4. Moving the decimal point one place to the left makes the number 1/10 of its original value.
4 is the answer
The next best is 3
Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 16 cups of coffee, the card had a $5 remaining balance. Write an equation for A(x),A(x), representing the amount money remaining on the card after buying xx cups of coffee.
Answer:
$45-$2.50xx
Step-by-step explanation:
Let first of all determine the original amount on the gift card as follows
amount utilized=$2.50*16=$40
balance left after utilizing $40=$5
original amount on the gift card=amount utilized+balance left=$40+$5=$45
if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50
i.e $2.50xx
The equation for the amount left would total amount on the gift card minus the $2.50xx
equation for amount remaining =$45-$2.50xx
If the questioner has duplicated x,which means he or she meant just x
equation of the amount remaining would=$45-$2.50x
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark's investment double before age 52? What will his investment be worth? What would Mark's investment be if he had invested at age 28?
Answer:
A.3times
B.$1214.68
Step-by-step Explanation
A
Using compound interest formula
A=P(1+I)^n
A is the amount
P is the principal=$300
I is the interest=0.06
n is the time ( between 52 and 16years)=36years
A=300(1+0.06)^36
A=$2444.175
Which means 300 would have become
$2444.175 which is 8 folds.
That means it would have doubled 3times(2×2×2) at age of 52.
B. The time would change to (52-28)=24
Using compound interest formula
A=300(1+0.06)^24
A=$1214.68
Therefore his investment would have been $1214.68.
You spin the spinner below once. What is the probability that the arrow will land on 3
Answer:
how many numbers are there and if there is more of the same number then that will be ur probability
Step-by-step explanation:
What type of sequence is 0,12,24,36,48 geometric or arithmetic?
Answer:
Arithmetic
Step-by-step explanation:
Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!
Answer:
It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!
Find the exact value of sin 300°.
Answer:
-0.86602540378 or -√3/2
what is the 15th n term of the sequence 22 18 14 10 6
Answer:
-34
Step-by-step explanation:
All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34
please help quickly !
Answer:
75-52.5 =x
Step-by-step explanation:
We know that the total amount they eat is 75
They eat 52.5 is acacia leaves. The rest is other types of leaves
75 - 52.5 = other types of leaves
75-52.5 =x
7(5+2x)+x=65 someone please help me with this equation
Answer:
x=2
Step-by-step explanation:
7(5+2x)+x=65
35+14x+x=65
35+15x=65
15x=65-35
15x=30/15
x=2
Answer:
x=2
Step-by-step explanation:
7×5=35
7×2x=14x+=65
so the equation would be
35+14x+x=65
add the variables together so:
35+15x=65
subtract 35 from 65 which makes it 30 so:
15x=30
now divide both sides by 15
which makes the anwer x=2
A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists of 80 separate events that are equally likely. What is the probability of each?
Answer:
1/80
Step-by-step explanation:
The probability of selecting each of the event in the sample space is; 1/80
How to Find the Probability?We are given;
Sample Space = 80 separate events
Now, we are told that each event is equally likely to be selected.
Thus;
Probability of selecting each event = 1/80
Read more about Probability at; https://brainly.com/question/251701
#SPJ2
The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weight of 3/8 pound or less
Answer:
2.25 pounds
Step-by-step explanation:
The diagram showing the weight of bags with grapes is shown in the attached file below.
From the diagram; number of bags of grapes that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is:
[tex]\dfrac{3}{8}[/tex] pounds = 3
[tex]\dfrac{1}{4}[/tex] pounds = 4
[tex]\dfrac{1}{8}[/tex] pounds = 1
Thus; the total is = 3+4+1 = 8
However, The total weight of the grapes in the bag that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is :
= [tex]\dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)[/tex]
= [tex]\dfrac{9}{8} + 1 + \dfrac{1}{8}[/tex]
= [tex]\dfrac{9+8+1}{8}[/tex]
= [tex]\dfrac{18}{8}[/tex]
= 2.25 pounds
the radius of a circle with a circumstance of 28 pie into units
Answer:
The radius is 14
Step-by-step explanation:
The circumference of the circle is 28 pi
C = 2* pi *r where r is the radius
28 pi = 2 pi *r
Divide each side by 2 pi
28 pi/2pi = 2 pi *r/2pi
14 = r
If the point (a,1) lies on the line y = 3x - 5, what is the value of a?
Answer:
a = 2
Step-by-step explanation:
Note that a point uses (x , y).
y = 1
x = a
Plug in 1 for y in the equation, and a for x:
y = 3x - 5
1 = 3a - 5
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First add 5 to both sides:
1 (+5) = 3a - 5 (+5)
1 + 5 = 3a
6 = 3a
Next, divide 3 from both sides:
(6)/3 = (3a)/3
a = 6/3
a = 2
2 is your value for a.
~
The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.
She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.
Shruti counted how many free-throws were successes in each simulated sample. Here are her results:
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Give your answer as either a fraction or a decimal.
Answer:
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that Shruti succeeds at any given free-throw is 80%, percent.
This means that [tex]p = 0.8[/tex]
Sample of 12 free throws:
This means that [tex]n = 12[/tex]
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]
[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]
[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Answer:0.8
Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes
Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX
Answer:
Step-by-step explanation:
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
Answer:
the answer is c
Step-by-step explanation:
Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.
Answer:
48^2 =2304 < 2345 < 2401 = 49^2
=> Smallest number should be: 2401 - 2345 = 56
Hope this helps!
:)
Answer:
56
Step-by-step explanation:
sqrt(2345) = 48.425...
Nearest integer is 49
So, the nearest perfect is 49²
49² = 2401
To be added:
2401 - 2345
56
Can you please help me
Answer:
the length of the car in Ivan's drawing is 12 cm, or the second option.
Step-by-step explanation:
Scale drawing length : actual car length = 2 cm:1 cm
Since it's the same car, we know that the length would be 6 cm.
Therefore, we can set up a proportion and solve for x.
2/1=x/6
x=12
Therefore, the length of the car in Ivan's drawing is 12 cm, or the second option.
I hope this helped and have a good rest of your day!
