Answer:
3c-8
Step-by-step explanation:
A coffee distributor plans to mix some Gualtemala Antigua coffee that
normally sells for $10.20 per pound with some Arabian Mocha coffee that
normally sells for $13.00 per pound to create 20 pounds of a new coffee
blend that can sell for $11.46 per pound.
How many pounds of each kind of coffee should they mix?
Answer:
pounds of Gualtemala Antigua coffee.
pounds of Arabian Mocha coffee.
Round
your answers to the nearest whole number of pounds.
Answer:
11 pounds of Guatemala Antigua coffee
9 pounds of Arabian Mocha coffee
Step-by-step explanation:
Guatemala Antigua coffee - $10.20 per pound
Arabian Mocha coffee - $13.00 per pound
First find the total profit from the 20 pounds of the new coffee blend.
20 × $11.46 = $229.20
Now set up an equation.
$10.20g + $13.00a = $229.20
Use guess and check to find the number of pounds of each type of coffee.
$10.20g + $13.00a = $229.20
$10.20(11) + $13.00(9) = $229.20
$112.20 + $117 = $229.20
$229.20 = $229.20
It checks out. So, they should mix 11 pounds of Guatemala Antigua coffee and 9 pounds of Arabian Mocha coffee.
Hope that helps.
Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right
[tex]y=|\dfrac{1}{2}x-2|+3[/tex]
Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)
[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]
After simplifying, we now have the following equation:
[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]
This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
we are given
y=|2x|-1
we are given to translate this equation
Whenever we translate any function to right side by 'c' units
we can replace x as x-c
Here , we have to translate one unit right
so, we can replace x as x-1
and we get
y=| 2( x-1 ) | 1
Hope this helps <3
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answer:
Option A.
Step-by-step explanation:
there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let x and y be the number of stamps of 40 cents and 55 cents respectively.
Total number of stamps is 45. So
[tex]x+y=45[/tex]
Total cost of stamps is $18.75. So
[tex]0.40x+0.55y=18.75[/tex]
But Krista wrote the system of equations as
[tex]0.40x+y=45[/tex]
[tex]x+0.55y=18.75[/tex]
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not write 0.40 in the second equation meant for the value of stamps.
Therefore, the correct option is A.
Answer:
The answer is A
Step-by-step explanation:
TOOK THE TEST!
What is the difference between a Rate and a Ratio? Explain
Answer:
The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.
( just #1 ) ( a and b
1. Identify the sides or angles that need to be congruent in order to make the
Answer: AB ≅ DE
∠BAC≅∠DEF
Step-by-step explanation:
as AAS is a criterion where two angles and a side not included between the angles is congruent with the other triangle's two angles and the side not included between the angles.
If a△ b=a2+ab−b2, then find (3 △ 2) △ 13. WILL MARK BRAINLIEST PLS HELP!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is
18Step-by-step explanation:
a ∆ b = a² + ab + b²
(3 ∆ 2)
a = 3 b = 2
(3 ∆ 2) = 3² +3(2) + 2²
= 9 + 5 + 4
= 9 + 9
= 18
Hope this helps you
=====================================================
Work Shown:
First we compute 3 △ 2
a △ b = a^2 + ab - b^2
3 △ 2 = 3^2 + 3*2 - 2^2 ... replace 'a' with 3, replace b with 2
3 △ 2 = 9 + 6 - 4
3 △ 2 = 15 - 4
3 △ 2 = 11
Replace the ( 3 △ 2 ) in the original expression with 11.
We now want to find 11 △ 13
a △ b = a^2 + ab - b^2
11 △ 13 = 11^2 + 11*13 - 13^2
11 △ 13 = 121 + 143 - 169
11 △ 13 = 264 - 169
11 △ 13 = 95
Can someone please help me?
Answer:
15=Does not have the right diagram
16=Does not have the right diagram
17=Sorry I can not draw that on a screen
18=4,8
19=5,4
20=2,7
21=5,8
22=145 Degrees
Step-by-step explanation:
15, Complementary angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines
16, According to the definition of supplementary angles, they are two angles that sum up to 180, and any two angles that are on the same line, same side and are being separated by a line are supplementary
17,
18, Corresponding angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines.
19, By the definition of Alternate Interior Angles, they are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal
20, By the definition of Alternate Exterior Angles, they are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal
21, Vertical angles are angles opposite of each other made by two intersecting lines
22, 1, and 2 are supplementary angles so 180-35=145=1. 1 and 8 are Alternate Exterior Angles so 1=8, substitute, 145=8
Hope this helps, if it did, please consider giving me brainliest, it will help me a lot. If you have any questions, feel free to ask.
Have a good day! :)
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet?
Answer:
4 points
Step-by-step explanation:
.
Let L be the circumference of the circle.
Then the faster cyclist will catch the slower cyclist first time when the faster cyclist will cover
the distance which exactly 1 circumference longer than the distance covered by the slower cyclist
9t-5t=l
It gives the time to get first meeting point
t=l/9-5=l/4 hours
and the distance which the faster cyclist covered during this time is
d1=9t=9l/4 miles
The distance which the slower cyclist covered during this time is
d2=5t=5l/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is
(1/l)(5l/(4)-l)=1/4
of the full angle of 2pi radians, or 90 degrees.
So, they started simultaneously, and their first meeting point is at the 90 degrees angle.
Next, they started from this point SIMULTANEOUSLY and . . . and everything was repeated.
Hence, their next meeting point is the point on the circle with the angle of 180 degrees.
So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points
(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.
There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Let L represent the circumference of the circle.
Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist
9t - 5t = L
It gives them time to get the first meeting point
t = L/9 - 5
t = L/4 hours
The distance which the faster cyclist covered during this time;
d1 = 9t = 9L/4 miles
The distance that the slower cyclist covered during this time is
d2 = 5t = 5L/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;
(1/l)(5l/(4)-l)=1/4
Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.
So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
Learn more about circumference here;
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What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth. 160.36 feet² 184.96 feet² 190.56 feet² 200.96 feet²
Answer:
A =200.96 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi 8^2
A = 64 pi
Letting pi = 3.14
A = 64 ( 3.14)
A =200.96 ft^2
Answer:
[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]
Step-by-step explanation:
Apply formula for the area of a circle.
[tex]area=\pi r^2[/tex]
The radius is 8 ft.
[tex]A=\pi (8)^2[/tex]
[tex]A=64\pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]A=64(3.14)[/tex]
[tex]A=200.96[/tex]
A Roman statue is three times as old as a Florentine statue. One hundred years from now the Roman statue will be twice as old as the Florentine statue. How old is the Roman statue?
Answer:
300 years
I hope this helps!
Please help me on this question
Answer:
[tex] \huge \boxed{x = \frac{5p}{h} }[/tex]Step-by-step explanation:
Let's solve:
[tex]p = \frac{hx}{5} [/tex]
Multiply both sides of the equation by 5 / h
[tex]p \times \frac{5}{h} = \frac{hx}{5} \times \frac{5}{h} [/tex]
Solve
[tex] \frac{5p}{h} = x[/tex]
Swap the sides of the equation
[tex]x = \frac{5p}{h} [/tex]
Hope I helped!
Best regards!
Answer:
5p
x = ------
h
Step-by-step explanation:
Given: p = hx/5, solve for x:
1. Multiply both sides by 5 to remove the fraction: 5p = hx
2. Divide both sides by h to isolate x:
5p
x = ------
h
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? A. -3x + 4y = 3 B. -1.5x − 3.5y = -31.5 C. 2x + y = 20 D. -2.25x + y = -9.75
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).
When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...
3x -7y = constant
Negating the x-coefficient gives ...
-3x -7y = constant
Filling in the given point values, we can find the constant:
-3(7) -7(6) = constant = -21 -42 = -63
None of the answer choices matches this, but one does match when we divide the numbers by 2:
-3x -7y = -63
-1.5x -3.5y = -31.5 . . . . . . matches choice B
Answer:
y = (-3/7)x + 9
Step-by-step explanation:
IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent. Dividing both sides by 3 yields y = (7/3)x - 21.5/3. This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.
Thus PQ, being perpendicular to AB, has the slope -3/7. Starting with y = mx + b, and using the coordinates of P(7, 6), we get:
6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.
Which is the equation of a parabola with focus (0, 5) and directrix y= -1?
Answer:
Can you include more detail like the equations to choose from so I can help
Step-by-step explanation:
A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answer:
Step-by-step explanation:
area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth
Answer:
The answer is
397.40 cm²Step-by-step explanation:
To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.
that's
For the rectangle
Area of rectangle = length × width
From the question
length = 5cm
width = 11 cm
So we have
Area of rectangle = 5cm × 11cm = 55cm²
For the circle
Area of a circle = πr²
where r is the radius
From the question
r = 12 cm
Area of circle = π (12)²
= 144π
= 452.40 cm²
Area of shaded figure
Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle
That's
452.40 cm² - 55cm²
= 397.40 cm² to the nearest hundredth
Hope this helps you
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?
The measure of the length of line segment BC will be 31.2 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.
Let x be the length of BC.
x / 12 = 13 / 5
x = 31.2
More about the triangle link is given below.
https://brainly.com/question/25813512
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Answer:
31.2 units
Step-by-step explanation:
A standard die (a six-sided cube with the numbers 1‚ 2‚ 3‚ 4‚ 5‚ and 6 on the sides) is rolled 150 times. Which of the following is the most likely number of times that a 1 or a 4 would appear? A 2 B 25 C 50 D 100
Answer:
50
Step-by-step explanation:
1÷6×150=25
1÷6×150=25
ans:25+25
=50
Solve:
3x - 9 = 5(x-3)
Hi,
[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]
Have a good day.
Help me ASAP for this question
Answer:
The third option is your answer
Step-by-step explanation:
Because the fee is equal 6% or 0.06 of the balance in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]
hope this helps, if it does please mark brainliest!!
Find the area of a rectangle whose length is 12cm and width 6cm A. 720cm² B. 702cm² C. 722cm² D. 72cm² I will mark you us brainliest
Area = length x width
Area = 12 x 6 = 72 cm^2
Answer is D
Answer:
The answer is option D.
72cm²Step-by-step explanation:
Area of a rectangle = length × width
From the question
length = 12 cm
width = 6 cm
Area = 12cm × 6cm
We have the final answer as
72cm²Hope this helps you
Plz help this is due tomorrow!
Answer:
B
Step-by-step explanation:
[tex]\sqrt[4]{x^\frac{2}{3} }=(x^\frac{2}{3} )^\frac{1}{4} =x^\frac{2}{12}=x^\frac{1}{6}[/tex]
Remember that [tex]\sqrt[n]{x}[/tex] is the same as [tex]x^\frac{1}{n}[/tex].
Also, I used the Power of a Power property.
Answer:
[tex] {x}^{ \frac{1}{6} } [/tex]Option B is the correct option
Step-by-step explanation:
[tex] \sqrt[4]{ {x}^{ \frac{2}{3} } } [/tex]
Using [tex] \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]transform the expression:
[tex]( {x}^{ \frac{2}{3} } ) ^{ \frac{1}{4} } [/tex]
Simplify the expression by multiplying exponents
[tex] {x}^{ \frac{2 \times 1}{3 \times 4} } [/tex]
Calculate the product:
[tex] {x}^{ \frac{2}{12} } [/tex]
Reduce the numbers with G.C.F 2
[tex] {x}^{ \frac{1}{6} } [/tex]
Hope this helps...
Good luck on your assignment...
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.
Answer:
y = -x + 17
Step-by-step explanation:
A(-10,-3)
B(7,14)
C(5,12)
Need line CD perpendicular to AB through C.
Solution:
slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1
Slope of CD, m2 = -1/m1 = -1 / 1 = -1
Line CD through C, using the point slope form
y-yc = m2(x-xc)
y-12 = -1 (x-5)
rearrange
y = -x + 5 + 12
y = -x + 17
Answer:
x intercept of CD is (17, 0)
Point (-2, 19) lies on CD
Step-by-step explanation:
Ordered pair for this point? (I circled the point in Pink)
Answer:
(-4,-3)
Step-by-step explanation:
The first coordinate of the ordered pair is the x value or go across
to the right is positive and the left is negative so x = -4
The second coordinate of the ordered pair is the y value or go up and down
up is positive and down is negative so y = -3
(-4,-3)
Answer:
(-4, -3)
Step-by-step explanation:
You can move 4 left from the x axis to get -4, and then move 3 down from the y axis to get -3, leading to the coordinates (-4, -3).
*DIFFICULT QUESTION, PLEASE ANSWER ASAP * *MAKE SURE YOU PROVIDE DETAILS* Without knowing their diameters, which sporting ball has the smaller surface area--a golf ball or a tennis ball? Explain how you know.
Answer:
Golf ball
Step-by-step explanation:
The formula for the surface area of a sphere is 4[tex]\pi[/tex]r². The variable is the radius. Therefore, the sphere with the smallest radius would have the smallest surface area.
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
Golf ball. The formula for surface area of a sphere is 4πr². The sporting ball that has the smaller surface area is golf ball because it has a smaller radius.
Hope this helped!! ٩(◕‿◕。)۶
According to the diagram below, LMK = XYZ by HL. If the Pythagorean
theorem is used to show LK=XZ. congruence can also be shown by which of
the following theorems?
A. AAS
B. НА
C. LA
D. SSS
SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.
Help me ASAP for this question? Which group of numbers is in order from smallest to largest?
69% 3/4 0.08
0.08, 35% 2/5
7/10 0.85, 79%
0.17 3/20 37%
Answer:
the second one
Step-by-step explanation:
when turning a percentage into a fraction put it over 100. I then turned that into a decimal which was 0.35. 2/5 is 0.4 which is also equal to 0.40
What is the surface area of the right rectangular prism shown?
Answer:
B. 286 m²
Step-by-step explanation:
Surface area = 2*(9*5) + 2*(5*7)+ 2*(9*7) = 286 (m²)
Answer:
b) 286 m²
Step-by-step explanation:
A = 2(l×w + l×h + w×h)
l = 9m
w = 7m
h = 5m
A = 2(9m×7m + 9m×5m + 7m×5m)
= 2(63m² + 45m² + 35m²)
= 2×143m²
= 286 m²
Convert 18 ft to yards
Answer:
6 yds
Step-by-step explanation:
We know there are 3 ft in 1 yd
Divide by 3 ft
18 ft / 3 ft = 6 yds
Answer:
6 yards
Step-by-step explanation
1 yard= 3 feet
This is question 18 for the recent post please help!!
Answer: D) 6
Step-by-step explanation:
Because this triangle's legs are x and x*root(3), it is a 30-60-90 triangle. Thus, the hypotenuse equals 2x, or 6.
Hope it helps <3
What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid
Answer:
Triangular Prism
Step-by-step explanation:
Answer:
Triangular Prism
Step-by-step explanation:
Because I'm smart
Help is greatly appreciated!! :)
Answer:
y = 3x^2 + 3x - 3
Step-by-step explanation:
If x is -1, we would do:
3(-1)^2 + 3(-1) - 3 = -3
If x is 0, we would do:
3(0)^2 + 3(0) - 3 = -3
If x is 3, we would do:
3(3)^2 + 3(3) - 3 = 33