Answer:
A
Step-by-step explanation:
Let's say we need x pounds of one-dollar-a-pound coffee . The coffee must average out to 84 cents a pound, and the formula for average is
sum of cost of coffee / number of pounds of coffee, so we have
0.84 = total cost of coffee / (x+80) . The total cost of coffee can be found to be the sum of the cost of $1 coffee and 70 cent coffee, so we have
0.84 = (cost of $1 coffee + cost of 70 cent coffee) / (x+80)
The cost of $1 coffee can be found by adding $1 for each pound of one dollar coffee, or $1 * x. Similarly, the cost of 70 cent coffee is equal to 0.70 * 80, so we have
0.84 = (1*x+0.7*80)/(x+80)
0.84 = (x+56)/(x+80)
multiply both sides by (x+80) to remove a denominator
0.84(x+80) = x+56
0.84x + 67.2 = x+56
subtract both sides by 56 and 0.84x to isolate the x and its coefficients
11.2 = 0.16 x
divide both sides by 0.16 to isolate x
11.2/0.16 = x = 70
The number of pounds of a constituent in a mixture given the cost of the
mixture and the cost and mass of the other constituent can be calculated
by using an equation to model the system
The correct option for the number of pounds of one-dollar- pound coffee needed is option A
(A) 70 pounds
The procedure for arriving at the correct option is as follows:
The given parameters are;
The cost of the the coffee for which the mass in the mixture is to be determined = One-Dollar a pound = 100 ¢ a pound
The mass of the coffee 70¢ a pound coffee to be mixed = 80 pounds
The cost per pound of the mixture = 84 ¢ a pound
The required parameter;
The number of pounds of the one-dollar-a-pound (100 ¢ a pound) coffee in the mixture
Method:
Let x (pound) represent the number of pounds of the one-dollar-a-pound coffee in the mixture, we have;
Mass of mixture = Mass of the one-dollar-a-pound in the mixture, x + Mass of 70 ¢ a pound in the mixture, 80
∴ Mass of mixture in pounds = x + 80
Cost = Cost per pound × Number of pound
Find solution by applying the equation;
Cost of the constituents = Cost of the mixture
Where;
Cost of the constituents = $1 × x + 70 ¢ × 80 = 100 ¢ × x + 70 ¢ × 80
Cost of the mixture = 84 ¢ × (x + 80)
Therefore;
100 ¢ × x + 70 ¢ × 80 = 84 ¢ × (x + 80)
The above can be expressed as 100·x + 70×80 = 84 × (x + 80)
Expanding, evaluating and collecting like terms gives;
100·x + 5,600 = 84·x + 6,720
100·x - 84·x = 6,720 - 5,600 = 1,120
16·x = 1,120
x = 1,120/16 = 70
The number of pounds of one-dollar- pound coffee needed, x = 70 pounds
Learn more about equation modelling here;
https://brainly.com/question/14102741
Find the area and perimeter of the given plain figure
This shape is the rhombus, then ;
Rhombus area = side length × heightA= b × h
A= Rhombus area
h = height ; b = side length ( length of any side)
h= 3 inch ; b= 4.5 inch ; A=?
A= b × h
A= 4.5 × 3 = 13.5 inch²
____o__o_____
The perimeter of a rhombus = 4 × side of lengthP = 4× a
P = The perimeter of a rhombus ; a = side of length
p= ? ; a = 4.5 inch
P = 4× a
P = 4× 4.5 = 18 inch
I hope I helped you^_^
The graph showing here is the graph of which of the following rational functions?
Answer: A
Step-by-step explanation:
The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.
A would be correct because when x = -2,
[tex]F(-2)=\frac{1}{-2+2}=\frac{1}{0}[/tex], which is undefined.
Ms. Davis writes an equation on the board.
(-6) + 6 = 0
Which scenario could represent this equation?
There are many answers we could go with here. One such answer could be the following:
You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.
---------------------------------
Another possible answer could be this:
You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.
---------------------------------
Another possible answer could be this:
Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.
-----------------------------------
I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.
(2 x 100) + (7 x 1) + (2 x 1/10) + (9 x 1/100) + (4 x 1/1000) as a decimal number
Answer:
207.294
Step-by-step explanation:
(2 x 100) + (7 x 1) + (2 x 1/10) + (9 x 1/100) + (4 x 1/1000)
(200) + (7) + (1/5) + (9/100) + (1/250)
= 207.294
The decimal number for the given expression is 207.294.
The given expression is (2 x 100) + (7 x 1) + (2 x 1/10) + (9 x 1/100) + (4 x 1/1000).
We need to write the decimal number for the given expression.
How to convert expanded form to standard form?To convert the expanded form of a number to the standard form, simply add the values in the expanded form together.
Now, 200+7+0.2+0.09+0.004=207.294
Therefore, the decimal number for the given expression is 207.294.
To learn more about decimal numbers visit:
https://brainly.com/question/4708407.
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Los científicos dicen que el universo fue por el big bang pero yo tengo una teoría
Mi teoría es
Que el universo no se creó siempre a estado siempre estuvo y siempre estará, que el universo no tienen edad que el universo es infinito y siempre lo será esa es mi teoría un poco corta
Answer yo mbitaen digo lo mismo el universo siempre a eado hays sn niotrsoss oarlo
bet
Step-by-step explanation:
Find the sentence distance between the points (-2,2) and (-1,1). Round to two decimal places if necessary.
Someone help me
Answer:
1.41
Step-by-step explanation:
Coordinates of point 1 are:
(-2,2)
Coordinates of point 2 are:
(-1,1)
[tex]Distance \: between \: two \: points \\ = \sqrt{ {(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} } \\ = \sqrt{ { (- 1 - - 2)}^{2} + {(1 - 2)}^{2} } \\ = \sqrt{ { (1)}^{2} + {( - 1)}^{2} } \\ = \sqrt{ 1 + 1 } \\ = \sqrt{2} \\ = 1.41 [/tex]
1 - 3/10 Write the answer as a fraction
Answer:
7/10
Step-by-step explanation:
Get a common denominator
1 - 3/10
10/10 - 3/10
7/10
31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-
Answer:
The correct choice is Option A. m ≥ -28/5
Step-by-step explanation:
i will mark brainliest!!!
Other answers: C. y=25x
D. y=25x+8.34
Answer:
Omg why are you soo beautiful? I love it
I don’t really understand this…
Steps:
Calculate MU/P
Compare MUx with MUy
Choose highest MU
Continue until you spend all of your money
Answer:
In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi-marginal utility tells us the way how a consumer maximizes his total utilit
Match all the part of the circle to their correct name.
1. YW
2. Q
3. WX
4. W
5. ST
6. VQ
7. TW
a. Center
b. Secant Line
c. Chord
d. Radius
e. Point of Tangency
f. Diameter
g. Tangent Line
Answer:
halo
1. YW - chord
2. Q - center
3. WX - tangent line
4. W - point of tangency
5. ST - secant line
6. VQ - radius
7. TW - diameter
please mark brainliest???
The correct matches are,
1. YW - chord
2. Q - center
3. WX - tangent line
4. W - point of tangency
5. ST - secant line
6. VQ - radius
7. TW - diameter
What is diameter?In geometry, a diameter of a circle exists as any straight line segment that passes via the center of the circle and whose endpoints lie on the circle. It can also be described as the longest chord of the circle. Both descriptions exist also valid for the diameter of a sphere.
The correct matches are,
1. YW - chord
2. Q - center
3. WX - tangent line
4. W - point of tangency
5. ST - secant line
6. VQ - radius
7. TW - diameter
To learn more about diameter refer to:
https://brainly.com/question/23220731
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m=8+n
PLZ HELP ASAP, WILL MARK BRAINLIEST!!!
[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]
Take n to left[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]
Henceif m=1
[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]
if n=1
[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]
[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]
Analyze the diagram below and complete the instructions that follow.
10
6
B.
'C С
8
Find sin ZA
A 3
5
B. 4
C 1
Answer:4
Step-by-step explanation:just had this
CHO A (0,2) B(-2,0) C(2,-1) chứng minh A B C thẳng hàng
Step-by-step explanation:
language mujhe samajh mein nahin a rahi hai
Is pi + 1 rational or irrational
Answer: Irrational
==========================================================
Explanation:
Let's assume that pi+1 is rational
If so, then pi+1 = m/n where m and n are integers and n is not zero.
Let's isolate pi
pi+1 = m/n
pi = (m/n) - 1
pi = (m/n) - (n/n)
pi = (m - n)/n
This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.
So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]
[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]
[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]
Find the value of x.
B
10-X
3
D
х
2.
A
С
x = [?]
Answer:
3/(10-x) = 5/(10-x+x)
3/(10-x) = 1/2
6 = 10-x
x = 4
Hope this helps!
Do these pairs of values (x and y) represent two quantities that are proportional?
X: 4, 6, 10, 14
Y: 2, 3, 5, 7
Answer:
No
Step-by-step explanation:
In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not). It would not go through (0.0), but would go through (2, 0)
Given that line a is parallel to line b and that line c isparallel to line d, if m<13 = (12x – 22)° and m<14 = (9x – 29)°, find m<2
Answer:
∠ 2 = 70°
Step-by-step explanation:
∠ 13 and ∠ 14 are adjacent angles and sum to 180° , then
12x - 22 + 9x - 29 = 180
21x - 51 = 180 ( add 51 to both sides )
21x = 231 ( divide both sides by 21 )
x = 11
Then
∠ 14 = 9x - 29 = 9(11) - 29 = 99 - 29 = 70°
∠ 7 = ∠ 14 = 70° ( Alternate angles )
∠ 2 = ∠ 7 = 70° ( Alternate angles )
The cone in the figure below has a volume of 72π cubic centimeters and a height of 6
centimeters. What is the radius of the base of the cone, in centimeters?
Answer:
6 cm
Step-by-step explanation:
The volume of a cone = (1/3) πr²h
72π = (1/3) π r² 6
72 = (1/3) r² 6
Divide both sides by 6
12 = (1/3) r²
Multiply both sides by 3
36 = r²
So r (radius) = 6 cm
For the Parabola y = (x - 7)^2 – 3. the equation for the Line Of Symmetry is
Answer:
x+=(y)=x
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
y = (x - 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex. For a vertical parabola, the axis of symmetry is x=h
x = 7
2 1/2 + 3 1/4 = ? pls
Answer:
5 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]
= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex] Here we add the two whole numbers first
= 5 + [tex]\frac{1}{2} + \frac{1}{4}[/tex]
= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex] Here you bring the two fractions to a common denominator and to to this you find the highest common factor of the denominators.
= 5 + [tex]\frac{3}{4}[/tex] Here we added 1/4 and 2/4
= 5 [tex]\frac{3}{4}[/tex] This is the answer simply add 5 and 3/4
HOPE THIS HELPED
Answer:
Step-by-step explanation:
Your answer is 5 3/4
Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️
(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
PLZ ANSWER QUICK
Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.
Answer: Answer is in the image below.
Step-by-step explanation:
חן
d
60°
30°
e
The product of sin 30° and sin 60° is same as the product of
and
Answer:
Step-by-step explanation:
This is a fascinating question. It turns out to be true because of the relationship between a 30 degree angle and a 60 degree angle
The answer is that the product of sin30*sin60 = cos(30)*cos(60). This happens because sin(60) = cos(90-60) = cos(30)
Other angles will do the same thing sin36 * sin54 = cos(54)*cos(36)
a call centre aims to deal with calls in less than 5 minutes
calls come in randomly
Answer:
1/8
Step-by-step explanation:
Let "A" = the next call of a customer's complaint
Let "B" = the next call completed under 5 minutes
P(A) = 1/4
P(B) = 1/2
So ----> P(AB) = P(A) times P(B) P(AB)
= 1/4 times 1/2 = 1/8
Find the measure of the third angle of a triangle if the measures of the other two angles are given.
35.5 and 82.6
A. 66.8
B. 58.4
C. 61.9
D. 31.9
9514 1404 393
Answer:
C. 61.9°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so the third angle is ...
180° -35.5° -82.6° = 61.9°
Please help me answer this
Answer:
77Step-by-step explanation:
Use Pythagorean to solve this:
FH² = FG² - GH²GH² = EG² - EH²Substitute values:
FH² = 85² - (45² - 27²)FH² = 5929FH = √5929FH = 77Answer:
FH = 77
Step-by-step explanation:
Using all the side lengths given, we can create a pythagorean like equation with all three values:
= -45² + 27² + 85²
= -2,025 + 729 + 7,225
= 5929
= √5929
= 77
Best of Luck!
Write the equation of the circle in standard form with the center located at
(-2, 5) and radius of 3.
Answer:
(x+2)^2 + (y-5)^2 = 9
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -2)^2 + (y-5)^2 = 3^2
(x+2)^2 + (y-5)^2 = 9
Plzzz help 10 points and will mark brainiest
hint: answer is a fraction
Answer:
1/3
Step-by-step explanation:
The left side of FA is 6 units.
The left side of FB is 2 units.
From 6 to 2, you divide by 3.
Same for the top,
FA is 9 units, while FB is 3 units.
I hope this helps!
pls ❤ and mark brainliest pls!
A.0.16, 0.10, 0.07, -2.65, -1.43
B. -2.65, -1.3, 0.16, 0.10, 0.07
C.0.16, 0.10, 0.07, -1.43, -2.65
D.-2.65, -1.43, 0.07, 0.10, 0.16
Answer:
Step-by-step explanation:
The greatest value is 0.16. The least value is - 2.65
The least value (mathematically) is - 2.65
So C is the right answer.
