Answer:
Step-by-step explanation:
Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:
#lbs x $/lb = Total
T
K
Mix
Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:
#lbs x $/lb = Total
T 9
K 13.50
Mix
Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound
#lbs x $/lb = Total
T 9
K 13.50
Mix 50 9.54
Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:
#lbs x $/lb = Total
T x x 9 = 9x
K 50 - x x 13.50 = 675 - 13.50x
Mix 50 x 9.54 = 477
The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:
9x + 675 - 13.5x = 477 and
-4.5x = -198 so
x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.
i need to know how to do translations
dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years
Answer:
below
Step-by-step explanation:
that is the procedure above
The balance in the account after 2 years is $619.35.
What is the compund interset?The compound interest for an amount depends on both Principal and interest gained over periods.
Dlan invested $600 in a savings account at a 1.6% annual interest rate.
He made no deposits or withdrawls on the account for 2 years.
The balance in the account after 2 years is given by;
[tex]\rm Amount =Principal(1+rate)^{time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]
Hence, the balance in the account after 2 years is $619.35.
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What is the circumference of a 12 inch (diameter)
pizza?
A right triangle has side lengths 5, 12 and 13 as shown below use these lengths to find cosB tan B and sin B
PLZ SOMEONE HELP BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
Simplify the radical.
Answer:
See below for answers
Step-by-step explanation:
Problem 7: [tex]\sqrt{125}=\sqrt{25*5}=\sqrt{25}\sqrt{5}=5\sqrt{5}[/tex]
Problem 8: [tex]\sqrt{200}=\sqrt{100*2}=\sqrt{100}\sqrt{2}=10\sqrt{2}[/tex]
2 (x + 3) = x - 4
pls help me
Answer:
-10
Step-by-step explanation:
2x+6 =x-4
x+6=-4
x=-10
Answer:
-10
Step-by-step explanation:
2 ( x + 3) = x - 4
2x + 6 = x - 4
collect terms
2x -x = -4 -6
x = -10
Hope this helps!
Can someone help me !!
Question and choices are in the photo please explain the answer
Answer:
B
Step-by-step explanation:
expand the brackets
2x² - x + 10x -5 = 3x + 15
combine like terms
2x² + 9x - 5 = 3x + 15
2x² + 6x - 20 = 0
divide through by 2
x² + 3x - 10 = 0
factorise
determine factors of -10x² that would add up to 3x
they are 5x - 2x
(x² -2x) (5x - 10)
x(x - 2) +5(x-2)
x + 5 = 0
x = -5
x - 2 = 0
x = 2
Determinar el ángulo NPO, si el ángulo PON es igual a 132 grados y el segmento NP es bisectriz del ángulo P y N.
Aquí les dejo una pista, la respuesta correcta es: 24 grados.
The measure of ∠NPO is equivalent to 24°.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral anglesGiven is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Now -
OP = ON
So, this means that ∠OPN = ∠ONP = x° {say}
We can write -
∠OPN + ∠ONP + 132° = 180°
2x = 48°
x = 24°
Therefore, the measure of ∠NPO is equivalent to 24°.
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{
Question in English is as follows -
Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Here's a hint, the correct answer is: 24 degrees.
}
Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?
Answer:
please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question
Answer:
13 minutes lifting weights.
Step-by-step explanation:
Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.
A patio deck in the shape of a parallelogram has three square cutouts for trees to grow through each square has a side length of 4 1/2 ft what area of wood boards is needed to cover the deck while leaving room for the square cutouts
Answer:
1048.05 square feet.
Step-by-step explanation:
The area of the deck is 50.4 x 22 = 1108.8 square ft.
The area of 1 cut out is 4.5 x 4.5 = 20.25
There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.
The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.
Which one of the following is a correct equation?
Answer:
B. cos 41° = [tex]\frac{x}{19}[/tex]
Step-by-step explanation:
cos of an angle is the adjacent side of the angle over the hypotenuse.
Answer:
Answer is a
[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]
In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred
Answer: [tex]5.13\ \text{units}[/tex]
Step-by-step explanation:
Given
In a circle, [tex]\angle PQR=42^{\circ}[/tex]
[tex]PQ=7\ \text{units}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Insert the values
[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]
The length of the arc PR is [tex]5.13\ \text{units}[/tex]
Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4
Answer:
Step-by-step explanation:
Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are
(x + 8)(x + 4) = 0, then by the Zero Product Property,
x + 8 = 0 so x = -8 or
x + 4 = 0 so x = -4. Choice A.
A student says that the value of the expression 5 + 25 /5 is 6.What error did the student make?
Answer:
The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.
Step-by-step explanation:
lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter
Answer:
hey,
18+5=23
so AD=23
this is the correct answer :)
please mark as brainliest
Explain how rays AB and AC form both a line and an angle.
Answer:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T
Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
Answer:
[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]
[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
If mKM = 112 degrees, find mLM.
Answer:
mLM is probably also 112˚
Or
(B) 112˚
Step-by-step explanation:
Please help this is the only one im stuck on...10 points
evaluate the expression for n = 2.
3 − 6n =
Answer:
9 is the answer
Step-by-step explanation:
3- 6(2) = 9
Answer:
9
Step-by-step explanation:
(6)×2-3. = 12-3=9. hope helpful answerThe coordinates of the two vertices of square QRST are Q(3.6, 2.1) and R(-5.4, 2.1) what is the length in units of each side of square QRST?
Answer:
the length of each side of the square QRST is 9 units.
Step-by-step explanation:
By using distance formula we find the distance between the two vertices Q and R therefore giving us the length of one side, 9 units. Since it is a square all the sides are equal in length, so each side of the square QRST is 9 units.
Hope this helps uwu
Answer all please I need this :o
Answer:
18. d
19. c (not sure)
20. c
Answer:
18) d. Synopsis
19) c. Duration
20) c. Pacify
Step-by-step explanation:
18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!
19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)
20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.
Hope this helps, good luck have a good day!
Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?
Step-by-step explanation:
Mass = Density × Volume or m=pV
Density = 6
Volume = 13
6 × 13 = 78
The mass of the iron ball is 78.
===================================================
Work Shown:
d = density = 6 grams per cm^3
m = mass = unknown
v = volume = 13 cm^3
--------
d = m/v
dv = m
m = dv
m = 6*13
m = 78 grams
Lacy got a $100 gift card to an online clothing store. She
uses the gift card to buy a pair of pants for $19.99. She
also wants to use the gift card to buy some shirts. Each
shirt costs $11.69.
Which of these inequalities describes this situation, where
n is the number of shirts Lacy wants to buy?
Answer:
80.01>11.69n
Explanation:
100-19.99=80.01
she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.
Please help will mark the brainliest
Answer:
452.4 mi^2
Step-by-step explanation:
area of circle=πr^2
=22/7*(12)^2
=3.142*144
=452.448
=452.4 mi^2
Answer:
C) 452.4 mi²
Step-by-step explanation:
a = πr²
a = π * 12²
a = π * 144
a = 452.3893421169
a = 452.4
The base and height in a figure are always what?
Answer:
Perpendicular
Step-by-step explanation:
By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.
What tool would use to measure around a cup
Answer:
one tool you can use would be tape measure
Describe the graph of the linear function with this equation: y + 3 = 1/3 (x-2)
Answer:
it has a slope of 1/3 and a point on the graph is (2,-3)
Step-by-step explanation:
Two tankers contain 35 litres and 50 litres of petrol, the maximum capacity of a container which can measure the petrol of either tanker in exact number of times : *
Answer:
The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is 5 litres
Step-by-step explanation:
Given
[tex]L_1 = 35L[/tex]
[tex]L_2 = 50L[/tex]
To calculate the required maximum capacity, we simply calculate the HCF of both capacities.
We have:
[tex]L_1 = 35L[/tex]
[tex]L_2 = 50L[/tex]
Factorize both:
[tex]L_1 = 5 * 7[/tex]
[tex]L_2 = 2 * 5 * 5[/tex]
The HCF is:
[tex]HCF = 5[/tex]