Answer:
Step-by-step explanation:
To solve mixture problems like this the best way is to make a table. Here's the basic format of the table we will use, calling the first coffee C1 and the second coffee C2:
#lbs x $/lb = Total
C1
C2
Mix
This is the table we will fill in. First, we were given the cost per pound of each type of coffee, so we put that in first:
#lbs x $/lb = Total
C1 4
C2 6.50
Mix
Next, we are told that she wants to make a mix of these coffees so she has a total number of pounds as 150 and that she wants it to cost $4.75 per pound. That goes in next:
#lbs x $/lb = Total
C1 4
C2 6.50
Mix 150 * 4.75
That asterisk is the multiplication sign.
Here's where we are now responsible for filling out the rest of the chart. If she needs to mix these 2 coffees to get a mix that is `150 pounds, she can have x pounds of C1 which means that she has to have 150 - x of C2:
#lbs x $/lb = Total
C1 x * 4
C2 150 - x * 6.50
Mix 150 * 4.75
Now all we have left to do is what the table tells us to do, which is to multiply the first 2 columns and put that product under the Total column:
#lbs x $/lb = Total
C1 x * 4 = 4x
C2 150 - x * 6.50 = 975 - 6.50x
Mix 150 * 4.75 = 712.50
Since we have to add the 2 coffees together to get the pounds of mix in the first column, we also have to add the cost of those coffees together to get the total cost of the mix. The equation looks like this:
4x + 975 - 6.50x = 712.50 and combining like terms:
-2.5x = -262.5 so
x = 105
That means that there is 105 pounds of coffee 1 and 150 - 105 pounds of coffee 2.
C1 = 105 pounds, C2 = 45 pounds
A square has an area of 81 cm^2.What is the length of each side
Answer:
length of each side=√81
=9 cm
Answer:
9cm
Step-by-step explanation:
a square has 4 equal sides, so to find out the area you do width x height
the area is 81cm², which means that the side length is 9cm as 9 x 9 = 81
hope this helps :)
Someone please help me thank you
Answer:
x = 8 and y = 10
Step-by-step explanation:
The given equations are :
2x -y = 6 ....(1)
-9x + 3y = -42 ....(2)
Multiply eqation (1) by 3.
6x - 3y = 18 .....(3)
Adding equation (2) and (3).
-9x + 3y + 6x - 3y = -42 +18
-3x = -24
x = 8
Put the value of x in equation (1).
2(8) -y = 6
16 - 6 = y
y = 10
Hence, the values of x and y are 8 and 10 respectively.
help!!! find the missing side, round to the nearest tenth
Answer:
D
Comment if you need step by step. I assumed you needed it fast
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail?
x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90
Equationlet
number of times Maria hiked the mountain trail = xnumber of times Maria hiked the canal trail = y5x + 10y = 90
Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90
Learn more about equation:
https://brainly.com/question/16863577
#SPJ1
Answer:
5x + 10y = 90
Step-by-step explanation:
can someone help me?
(2x+8)(2x+2)
[tex] 4 {x}^{2} + 20x + 16[/tex]
Step-by-step explanation:
[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
What is 9v-8(10v-9) I need an answer
What is the role that by subscribe to translation ABC D
Answer:
The role of ABCD is two determine the points of the figure.
5. Evaluate the quadratic function f(x) = 5(x-3)(x-2) when x = 9
Answer:
Step-by-step explanation:
f(9)=5(9-3)(9-2)
=5*6*7
=210
Answer:
f(9) = 210
Step-by-step explanation:
In f(x) = 5(x-3)(x-2), replace each instance of x with 9:
f(9) = 5(9-3)(9-2), or:
=5(6)(7) = 210
I’m lost someone help lol
Pick the last choice.
Please mark brainliest, I had to give go ogle a bj for this answer.
Shawn rode his bike 3 miles to the library. He rode 4 miles to his friend’s house. Then, he rode 5 miles home. How many miles in all did Shawn ride his bike?
determine the intercepts of the line
x-intercept (__,__)
y-intercept (__,__)
x-intercept (-40,0)
y-intercept (0,15)
Answer:
x intercept (-40,0)
y intercept (0,15)
Step-by-step explanation:
the point where a line cuts an axis (X or Y) is called the intercept of that axis.
Find the volume of the sphere. Round your answer to the nearest tenth. Radius is 12ft
Answer: 7238.2[tex]ft^3[/tex]
Step-by-step explanation:
The formula for a sphere's volume is [tex]V=\frac{4}{3} \pi r^3[/tex].
Substitute r = 12 in the formula: [tex]V=\frac{4}{3} \pi (12)^3[/tex]
Then calculate (type the right side of the equation above in your calculator), and you will get an answer of 2304π. When you simplify further, you get 7238.22947. Rounded to the nearest tenth, it is 7238.2.
∴, the volume of the sphere is 7238.2[tex]ft^3[/tex], to the nearest tenth.
*note: it's [tex]ft^3[/tex] (feet cubed) because a sphere is a 3D object, so its volume is also a 3D measurement.
When 62 + 5y - 112 + 7y is simplified results is? *
Answer:
-50+12y
Step-by-step explanation:
62+5y-112+7y
62-112+5y+7y
-50+5y+7y
-50+12y
Write an inequality that models the solution for 4(x + 2) > 8x – 3.
EXPLAIN
So the question is just asking for you to simplify the inequality until you get an answer.
1. Open the bracket on the left side. If you open it, you get 4x+8 > 8x - 3
2. Know - 4x from both side so you dont have x on 1 side. So 8 > 4x - 3
3. Get rid of the -3 from the right side by adding 3 onto both side. So 11>4x
4. Now you can divide by 4 on each side. x<2.75
= x < 2.75 (x is smaller than 2.75) .
You can write 2.75 > x. It is the same thing but I like writing my x first :)
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
y would be 3
Step-by-step explanation:
x would be 0 since the line goes up, meaning it's positive, not negative btw
Which of the following is NOT a terminating decimal?
A. 4.4
B. 4.44
C. 4.0444
D.
Answer:
C
Step-by-step explanation:
The others are repeated
Answer:
[tex]\text{D. }44.\overline{4}[/tex]
Step-by-step explanation:
*The person who asked this question clarified answer choice D should be [tex]\text{D. }44.\overline{4}[/tex].
Define a terminating decimal by a decimal that has a finite (or fixed) number of digits. Answer choices A, B, and C all have a finite number of digits, thus they are terminating decimals. The overline is answer choice D is using to represent that digit (4) is repeating and therefore there are an infinite number of digits in the decimal. Thus, [tex]\boxed{\text{D. }44.\overline{4}}[/tex] is not a terminating decimal.
How to Simplify (x-2)(3x2 + 3x + 2) to a polynomial in standard form:
Which is the graph of f(x) =2(3)x
Answer:
Top graph on the left
Step-by-step explanation:
f(x) =2(3)^x
Let x = 1
f(1) =2(3)^1
= 2 *3 = 6
(1,6)
What statement could be used to prove that m // n?
HELP
Answer:
4 th option
Step-by-step explanation:
∠ 2 and ∠ 7 are congruent since they are Alternate exterior angles
can some one help me solve this?
Answer:
i’m not sure good luck
Step-by-step explanation:
34x divided by 6
What is the value of x?
Answer:x would be 8 because 348 divided by 6 equals a quotient of 58
Step-by-step explanation:
Use long division to find the quotient below.
(x2 + 3x - 18) + (x-3)
O A.X-6
O B. x+6
C. x+15
D. X-15
HELP ASAP I am STUCK!
Answer: a. 5+7x=y b.5+(7•6)= 47
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. i would do 7(2) 7 inches in 1 year aka 7 times 2 which 14 inches in 2 years
B. 12 inches is a foot keep that in mind. they want to know how many feet would it be in 6 years. so 7 inches times 6years is 42inches. so 42 inches divided by 12 cause there is 12 inches in a foot is 3.5 so three and a half feet in 6 years
-lots of love,
makayla<3
Please help me
Look at the image
Answer:
74 degrees
Step-by-step explanation:
As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees
the diagram of g||h, with transversal f,
Hellopoooopppoo
Quickkkkkkkkkkkkkkk
Answer:
4.5 units
Step-by-step explanation:
PQ transferred to WX, and QR to XY.
PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :
4 × x = 6
x = 6/4 = 3/2
the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.
=> QR × 3/2 = XY.
3 × 3/2 = 9/2 = 4.5 = XY
0
Homework Progress
107 / 285
A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.
Submit Answer
Answer:
It's C
Step-by-step explanation: I took the test and got it wrong
The third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].
What is a sequence?The sequence exists in a particular order in which connected things follow each other.
The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2
Second term b will be [tex]$-2*6+13=1$[/tex]
The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]
So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]
If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]
If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]
So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.
Therefore, the third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] exists reversed will be [tex]$\frac{a-13}{6}$[/tex].
To learn more about sequence
https://brainly.com/question/12200498
#SPJ2
please help me!!
Best one gets brailiest!
Explanation:
When translating word problems into equations, the word "is" often means "equal sign"
The term quotient is the result of a division problem. So "quotient of g and 3" means "g divided by 3" or g/3.
1
2
-17
+
X
5
+ 1 = 2
4
= 21
Answer:
21
Step-by-step explanation:
You got it right.
what is the degree of the simplest polynomial with integer coefficients that has √2 , 2 , √2 + i , and 2 + 2i as some of its zeros?
a. 6
b. 7
c. 8
d. 9
If the polynomial has integer coefficients, then any complex roots with non-zero imaginary part must occur along with their conjugates. If a + bi is a root, then so is a - bi.
The given polynomial would then have at least 6 roots: √2, 2, √2 + i and √2 - i, and 2 + 2i and 2 - 2i. So the minimum degree is (A) 6.
