Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Let,
x be the pounds of type A coffee used
y be the pounds of type B coffee used
According to given statement;
4.15x+5.25y=980.85 Eqn 1
y = 4x Eqn 2
Putting y=4x in Eqn 1
4.15x+5.25(4x) = 980.85
4.15x+ 21x = 980.85
25.15x = 980.85
Dividing both sides by 25.15
[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]
Hence,
39 pounds of type A coffee were used.
Please only 10% of people are smart to answer this
Answer:
it's the one highlighted in orange
Step-by-step explanation:
I hope this helps with your question :)
The lowest point in Death Valley is Badwater at 282 feet below sea level. The highest point in
the surrounding mountains is Telescope Peak at 11,043 feet above sea level. How many feet
higher is Telescope Peak than Badwater?
Answer:
Step-by-step explanation:
Given
[tex]Badwater = -282ft[/tex]
[tex]Telescope\ Peak = 11043ft[/tex]
The position of badwater is negated because it is below sea level
The interpretation of the question, is to calculate the distance between the two given points.
This is calculated as:
[tex]Difference = Telescope\ Peak - Badwater[/tex]
[tex]Difference = 11043ft - (-282ft)[/tex]
Open bracket
[tex]Difference = 11043ft+282ft[/tex]
[tex]Difference = 11325ft[/tex]
Hence, the distance between both is 11325ft
Here's a graph of a linear function. Write the
equation that describes that function.
8
Express it in slope-intercept form.
6
Enter the correct answer
4
2.
OOO
DONE
Claus all
DOO
-8
-6
-4
GO
2
2
-2
6
8
-4
-8
Answer:
y = ⅓x - 3
Step-by-step explanation:
First, find the slope using two points on the line, say (0, -3) and (6, 0):
[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{6 - 0} = \frac{3}{6} = \frac{1}{3} [/tex]
Slope (m) = ⅓
Find the y-intercept (b):
The line intercepts the y-axis at y = -3. So b = -3
Next, substitute m = ⅓ and b = -3 into y = mx + b (slope-intercept form):
y = ⅓(x) + (-3)
y = ⅓x - 3
4p + 3p = 49
solve for p
Answer:
4p + 3p = 49
p(4+3)=49
p=49/7
p=7
Step-by-step explanation:
..........
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
What is the value of the expression 3y−4 when y = 2?
Answer: 2
Step-by-step explanation:
we simply plug in 2 for y.
3(2) - 4
6 - 4
6 - 4 = 2
Answer:
3y-4=2
3×2-4
=6-4
2 the value of y is 2
I need to get the answer but I’m struggling to understand how to get the gradient
Answer:
-5
Step-by-step explanation:
gradient or slope of line: m = (y'-y)/(x'-x)
line pass (-2,5) (-1,0) (0,-5)
use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5
Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?
Answer:
1/3
Step-by-step explanation:
6x=2
x= 1/3
Answer:
1 kilo takes 20 minutes
Step-by-step explanation:
6kilo in 2hrs
3kilo in 1 hr
1hr = 60min
3kilo/3 = 1 kilo
60min/ 3 = 20 min
1 kilo * 6 = 6kilo
20min * 6 = 120min ( 2 hours )
HELP !!!! find the measurements of each angle
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____
a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.
Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
-12 +15 + (-30) +17= (?)
Answer:
-10
Step-by-step explanation:
-12+15=3
(-30)+17=-13
3+(-13)=-10
Will mark brainliest!!!Solve for x and round to the nearest tenth
Answer:
i think its 63
Guess the rule and add the next number in the sequence.
6, 8, 12, 18, 26,
Answer:
The rule: Adds twice as much as the previous number added
Next number: 38
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.
this is a part of science too so pleae help
Given the sets above, select all (or the null set) of the element of: B
Given:
Universal set = {a, b, c, d, e, f, g, h}
A = {a, b, c, d}
B = {a, d, e}
C= {c, f, g, h}
To find:
The elements of set B'.
Solution:
Let universal set be U.
U = {a, b, c, d, e, f, g, h}
We know that,
Compliment of a set = Universal set - Set
It means,
[tex]B'=U-B[/tex]
[tex]B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}[/tex]
[tex]B'=\{b, c,f, g, h\}[/tex]
Therefore, only b, c, f, g, h are the elements of set B'.
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
Please can you help me
Answer: 340 children
a quarter is 1/4.
1,360 is the total number of children.
1,360 ÷ 4 = 340
Find the value of X URGENT!
Answer:
x=13
Step-by-step explanation:
45=3x+6
3x=39
x=13
need help asap please!!
Answer:
[tex]\displaystyle 23[/tex]
Step-by-step explanation:
[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]
I am joyous to assist you at any time.
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10simplify the expression (-6i)(-6i)
Answer:
36i^2 i think that's right
Can y’all help me? I think it’s the last one but I’m not sure
help!! geometry
jjjjjjjjjjjjj
Answer:
107
Step-by-step explanation:
Since they are congruent triangles angle B is the same as angle D.
To find D, all angles add to 180 degrees, so:
41+32+x=180
73+x=180
X=107
So angle B is 107 degrees
Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
Sin 30 = 5/x
Sin 30 = 1/2
x = 10
The length of the side x is 10.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
The length of side x can be calculated using the trigonometric identities.
We know that,
Sin x = Perpendicular / Hypotenuse
Sin 30 = 5 / x
1/2 = 5/x
Multiply 2 on both sides.
1= 10/x
x = 10
Thus,
The length of the side x is 10.
Learn more about trigonometric identities here:
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plz help i need it quick!!! simplify
Answer:im not sure sorry
Step-by-step explanation:
If 0 = 35, then solve for X.
X
9
Round to the nearest hundredth.
Answer:
x = 15.69
Step-by-step explanation:
Given that,
Height, h = 9
Hypotenuse, H = x
Angle, [tex]\theta=35[/tex]
We need to find the value of x.
The relation between height, Hypotenuse and the angle is given by :
[tex]\sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin(35)=\dfrac{9}{x}\\\\x=\dfrac{9}{\sin(35)}\\\\x=15.69[/tex]
So, the value of x is 15.69.
Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis
Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.
Answer:
Its Actually C, just took the quiz right now
Step-by-step explanation:
The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.
Hence, the 3rd option: "The sequence converges to 1.", is the best choice.
What does converging and diverging mean?Converging signifies a movement toward something. Diverging denotes moving away from something.
How to solve the question?In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.
This can be shown as 3/2, 4/3, 5/4, ...
The general term of this series is (n + 2)/(n + 1).
As it is going on continuously to infinite,
The term can be shown as:
[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]
Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.
Also, the point it converges is 1.
Hence, 3rd option is the best choice.
Learn more about converging and diverging sequences at
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