Answer:
We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that
A+B=153.
But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So
5.5A+4.3B = 756.30
Now we have two equations:
A+B = 153
5.5A + 4.3B = 756.30
We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have
A+B = 153
550A + 430 B = 75630
Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have
550A + 550B = 84150
550A + 430B = 75630
Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain
120B = 8520
Now divide by 120 into both sides to solve for B, we get
B= 8520/120 = 71
So Pablo used 71lbs of blend B.
Step-by-step explanation:
Hope this helps you!!!!! :D
Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a heart and the second card is red
Answer:
25/208 or 12.2%
Step-by-step explanation:
P(heart) = 13/52 = 1/4
P(red) = 26/52 = 1/2
because we are not replacing the first card drawn, the deck has 51 cards remaining
P(heart, red) = 1/4 × 25/52
= 25/208 or 12.2%
The table shows values for functions f(x) and g(x). X f(x)=4x 1 g(x)=3x 1−4 −3 −11 −359 −2 −7 −113 −1 −3 −3 0 1 −1 1 5 5 2 9 23 3 13 77 What is the solution to f(x)=g(x) ? Select each correct answer. −3 −2 −1 0 1 2 3.
f(x) = g(x) at 0 and 1.
FunctionThe function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
x f(x) = [tex]\rm 3^x[/tex] g(x) = 2x + 1
-2 [tex]\frac{1}{9}[/tex] -3
-1 [tex]\frac{1}{3}[/tex] -1
0 1 1
1 3 3
2 9 5
To findThe solution to f(x)=g(x).
How to find the solution to f(x)=g(x) ?It is clear that at x = 0 and 1, f(x) = g(x).
Thus, f(x) = g(x) at 0 and 1.
More about the function link is given below.
https://brainly.com/question/5245372
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem:
There is a total of 3 + 4 = 7 marbles, hence N = 7.Of those, 3 are blue, hence k = 3.2 marbles will be taken, hence n = 2.The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857[/tex]
[tex]P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429[/tex]
Hence:
[tex]p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286[/tex]
0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
Bonjour quelqu'un pourrait m'aider à résoudre ce calcul svp ?
A= (5+T) (T-2)
Stephanie is saving money for a computer. So far she has saved $350. Write an equation to show how much she needs to save each month,m, for the next year so she has $1600 to spend on the computer.
Answer:
I believe the answer is x less than > with a line under it 83.33.
Pleasee help me with this ty…………
Answer:
28.4
Step-by-step explanation:
IJ corresponds to FG, and JK corresponds to GH. So, x/6 = 52/11. 11x = 312, x = 28.36, which rounds to 28.4
PLEASE HELP WITH THIS PLEASE
Answer:
x - 2
Step-by-step explanation:
If (x - h) is a factor of f(x) then f(h) = 0
Here f(2) = 0 , then x - 2 is a factor of f(x)
literally pls help i'm getting 15 bonus points for this and i need this rn
Answer:
IN THIRD STEP
Step-by-step explanation:
14/5-6 HE DIDNT TOOK LCM AND CUT 5 WITH THE ANOTHER 5 WHICH IS OUTSIDE
Circle all the true equations
A. 5+0=0
B. 15 x 0=0
C. 1.4+2.7=4.1
D. 2/3 x 5/9= 7/12
E. 4 2/3 = 5- 1/3
Karen jumped rope for 20 minutes she stopped at 8:05 when does she start jumping
she started jumping rope at 7:45
The height of a tower on a scale drawing is 14 centimeters. The scale is 2 cm : 29 m. What is the actual height of the tower?
Answer:
203 m
Step-by-step explanation:
Set up a proportion and solve it.
drawing size : real size
14 cm : x
2 cm : 29 m
14/x = 2/29
2x = 14 × 29
x = 7 × 29
x = 203
Answer: 203 m
14
13
10
9
need to show work!!!
Answer:
9
Step-by-step explanation:
Since you have a right triangle, you can use the Pythagorean theorem.
a² + b² = c²
x² + 5² = 10²
x² + 25 = 100
x² = 75
x = √75
x = 5√3 = 8.66...
x = 9
Find the slope on the line
Answer:
-1
Step-by-step explanation:
Use Rise/Run and since the line is negative the slope will be negative
how do you do 6x-11=-2x+5
Find the Mean of the given data. 10,20,30,40,50
Answer:
The mean is 30
Step-by-step explanation:
To find the mean you add up all the numbers then divide how many numbers there are.....
10+20+30+40+50=150
150/5= 30
Hope this helps<3
Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drives (HD), and 15% have problems with both MB and HD.
(a) Are the events A have problems with motherboards" and B have problems with hard drives independent? Why or why not?
(b) What is the probability that a 10-year old computer still has fully functioning MB and HD?
you are given that 3y=5x
find the value of when x=12
Answer:
60 is the answer
Step-by-step explanation:
There are 46 children at the zoo. Twenty-nine students like popcorn and twenty like peanuts. Fifteen like both. How many students like neither popcorn nor peanuts?
Answer:none
Step-by-step explanation:
You must mean 64 instead of 46.Because 29+20+15=64 but none would agree to dislike both popcorn not peanuts.
Please help me with this quick!
the picture is above
I’ll make you brainly
Answer:
The answer is A, C, and D
Step-by-step explanation:
The sales tax rate in New Mexico is 5.125%. Which equations represent the sales tax, t, you would pay in New Mexico for an item of cost c?
t = 0.05125c
please give brainliest
Hey I need help with please
Thank You.
Someone help me with these 3 problems!!!! Due tomorrow!!!
Answer:
3. x[tex]\leq[/tex]-1
5. n[tex]\geq[/tex]6
7. n[tex]>[/tex]11
Step-by-step explanation:
3. -7+x[tex]\geq[/tex]-8 5. n-2[tex]\leq[/tex]4 7. -18+n[tex]<[/tex]-7
+7 +7 +2 +2 +18 +18
x[tex]\leq[/tex]-1 n[tex]\geq[/tex]6 n[tex]>[/tex]11
what is 685 x 32?? im confused
Answer:
21920
Step-by-step explanation:
Answer:
21,920
Step-by-step explanation:
Work uploaded below :)
is the equation y = x2 - 8 linear or nonlinear? show work or explain
Answer:
linear
Step-by-step explanation:
nonlinear equations have exponents and linear equations do NOT have exponents .
giving brainly if correct
this model represents which equation?
a. 3/4 ÷ 3/8
b. 10 ÷ 6
c. 6/10 ÷ 2
d. 3/4 ÷ 1/2
Hey There!
Solve For x ~
[tex] \large\sf \: 4x + 2 = -8?[/tex]
Thank You! :)
Hope It's Helps! :)
The value of x in the algebraic expression is -2.5
What is an algebraic expression?An algebraic expression is the representation of numbers with variables with the purpose of solving for the variable. The variables are expressed by using alphabetical letters, here it is (x).
From the given algebraic expression, we have:
4x + 2 = -8
Collect like terms
4x = -8 - 2
4x = - 10
Divide both sides by 4
[tex]\mathbf{\dfrac{4x}{4} = \dfrac{-10}{4}}[/tex]
x = -2.5
Learn more about algebraic expression here:
https://brainly.com/question/4344214
FACTOR COMPLETELY
x^2-7x+7y-y^2
Given: [tex] {x}^{2} - 7x + 7y - {y}^{2} [/tex]
Now factoring them,
[tex] = > (x - y)(x + y) - 7(x - y)[/tex]
[tex] = > (x - y)(x + y - 7)[/tex]
Therefore, the answer to the question is [tex] (x - y)(x + y - 7)[/tex]
Question 1 of 25
In preparing for his group's party, Ozzie cut up 26 strawberries. Then he answered a phone call. After the call, he cut up 18 more strawberries. How many strawberries did Ozzie cut up?
A. 26 strawberries
B. 34 strawberries
C. 8 strawberries
D. 44 strawberries
I kinda suck at inequalities, help pls:,)
Please help! Due at 11:30!!
Answer:
B (atleast from my calculations)
Step-by-step explanation:
The top dot is on 2 on the x axis and on 4 on the y axis so
Y=x+2
4=2+2
Hope this helps
