Answer:
Step-by-step explanation:
a + b = 140.......a = 140 - b
5.75a + 4.10b = 677.95
sub in 140 - b in for a in the other equation....and solve for b, the number of lbs of type B coffee
5.75(140 - b) + 4.10b = 677.95
805 - 5.75b + 4.10b = 677.95
-5.75b + 4.10b = 677.95 - 805
- 1.65b = - 127.05
b = -127.05 / -1.65
b = 77 <======= lbs of type B coffee used
a + b = 140
a + 77 = 140
a = 140 - 77
a = 63.........lbs of type A coffee used
check..
5.75a + 4.10b = 677.95
5.75(63) + 4.10(77) = 677.95
362.25 + 315.70 = 677.95
677.95 = 677.95 (correct)
I found both just so I could check my answer....and it checked out....
The number of pounds of coffee Type A and Type B will be 63 and 77, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Martina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Martina $5.75 per pound, and type B coffee costs $4.10 per pound. This month, Martina made 140 pounds of the blend, for a total cost of $677.95.
Let 'x' and 'y' be the number of pounds of coffee Type A and Type B. Then the equations are given as,
x + y = 140 ....1
5.75x + 4.10y = 677.95 ....2
From equations 1 and 2, then we have
5.75x + 4.10(140 - x) = 677.95
5.75x + 574 - 4.10x = 677.95
1.65x = 103.95
x = 63
Then the value of 'y' is given as,
63 + y = 140
y = 77
The number of pounds of coffee Type A and Type B will be 63 and 77, respectively.
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another 10second challenge is wich expresion has a lesser value?
Answer:
Therefore
Greater Value Expression is Expression ( 2 ) i.e [tex]3\times (492 - 166)\\[/tex]
Lesser Value Expression is Expression ( 1 ) i.e [tex]\frac{1}{3}\times (492 - 166)\\[/tex]
Step-by-step explanation:
Given:
[tex]\frac{1}{3}\times (492 - 166)\\[/tex] ............Expression ( 1 )
[tex]3\times (492 - 166)\\[/tex] ............Expression ( 2 )
To Find:
Which Expression has a lesser value ?
Solution:
First we will solve Expression ( 1 ) we get
[tex]\frac{1}{3}\times (492 - 166)=\frac{1}{3}\times 326=108.66[/tex]
Now we will solve Expression ( 2 ) we get
[tex]3\times (492 - 166)=3\times 326=978[/tex]
Therefore
Greater Value Expression is Expression ( 2 ) i.e [tex]3\times (492 - 166)\\[/tex]
Lesser Value Expression is Expression ( 1 ) i.e [tex]\frac{1}{3}\times (492 - 166)\\[/tex]
You are helping a coworker with a presentation and he has asked you to print out memos on a variety of colored paper. 60 will be attending and he needs 60% of the memos to be blue, 20% to be red, 15% to be green, and 5% to be yellow. How many green memos do you need to print
Answer:
Step-by-step explanation:
60 will be attending......15% of the memos are green
so u need to print : 15% of 60.....turn ur percent to a decimal...." of " means multiply
0.15(60) = 9 <==== u need to print 9 green memos
The number of green memos is 9.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The number of green memos is calculated as:-
60 will be attending and 15% of the memos are green
print: 15% of 60.
0.15 x (60) = 9
The number of green memos will be 9.
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A tortoise is walking in the desert. It walks at a speed of 7 meters per minute for 87.5 meters. For how many minutes does it walk?
Answer:
12.5 minutes
Step-by-step explanation:
87.5 m / 7 m/min = 12.5 min
a moving walkway at an airport moves at a pace of 1.75 feet per second
if you stand on the walkway as it moves how long will it take to transport you 280 feet
Answer:
The time taken to move distance of 280 feet at the speed of 1.75 feet per second is 160 seconds
Step-by-step explanation:
Given as :
The speed of the moving walkway at an airport = s = 1.75 feet per second
The distance cover on the walkway = d = 280 feet
Let The time taken to move 280 feet = t sec
Now, According to question
Time = [tex]\dfrac{\textrm distance}{\textrm speed}[/tex]
t = [tex]\dfrac{\textrm d}{\textrm s}[/tex]
t = [tex]\dfrac{\textrm 280 feet}{\textrm 1.75 ft per sec}[/tex]
t = 160 seconds
So, The time taken to move distance of 280 feet at the speed of 1.75 feet per second = t = 160 seconds
Hence, The time taken to move distance of 280 feet at the speed of 1.75 feet per second is 160 seconds . Answer
KE= 1/2 mvsquared
for v
Answer:
v=sqrt(2KE/m), -sqrt(2KE/m)
Step-by-step explanation:
KE=1/2mv^2
v^2=KE/(1/2m)
v^2=KE/(m/2)
v^2=KE(2/m)
v^2=2KE/m
v=sqrt(2KE/m), -sqrt(2KE/m)
When a company dropships its products to customers following a Web-based purchase, they _____.
do not keep products in inventory; rather an order is sent to the manufacturer or distributor who then fills the order and sends it to the customer
maintain a fleet of aircraft and delivery vehicles that they use to ship worldwide overnight, dropping off the package to the consumer by 10:00 AM
drop or fail to fill the order
None of the above
Answer: on oddysey its
A) do not keep products in inventory; rather an order is sent to the manufacturer or distributor who then fills the order and sends it to the customer
Step-by-step explanation:
Karachi earns $5 for each umbrella that he
sells and $3.50 for each rain poncho that he
sells. He earned $190 last week selling
ponchos and umbrellas.
Write an equation to represent the number
of umbrellas (u) and ponchos (p) he sold last
week.
The equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is 5u + 3.5p = 190
Solution:
Given that Karachi earns $5 for each umbrella that he sells and $3.50 for each rain poncho that he sells
Thus we can say,
Amount earned from 1 umbrella = $ 5
Amount earned from 1 rain poncho = $ 3.50
To find: equation to represent the number of umbrellas (u) and ponchos (p) he sold last week.
Let "u" be the number of umbrellas sold
Let "p" be the number of ponchos sold
He earned $190 last week selling ponchos and umbrellas
Thus we can frame a equation as,
number of umbrellas sold x Amount earned from 1 umbrella + number of ponchos sold x Amount earned from 1 rain poncho = $ 190
[tex]u \times 5 + p \times 3.50 = 190\\\\5u + 3.5p = 190[/tex]
Thus the equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is found
To represent the number of umbrellas (u) and ponchos (p) sold by Karachi last week, the equation is 5u + 3.50p = 190.
Explanation:To represent the number of umbrellas (u) and ponchos (p) sold by Karachi last week, we can set up an equation based on the given information:
5u + 3.50p = 190
This equation represents the earnings from selling umbrellas (at $5 each) and rain ponchos (at $3.50 each) totaling $190. We can use this equation to find the values of u and p.
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What is the value of 5 ^ 3 * i ^ 9
Answer:
Step-by-step explanation:
5 ^ 3 = 5 * 5 *5 = 125
i⁹ = i⁴ * i⁴ * i = 1 * 1 * i = i
5 ^ 3 * i ^ 9 = 125 * i = 125i
5 ^ 3 * i ^ 9
Answer: 125i
Step-by-step explanation:
Decide whether the two events are disjoint and tell why or why not:
• randomly drawing a jack from a standard deck of cards
• randomly drawing an ace from a standard deck of cards
Disjoint, because the events can occur at the same time.
Not disjoint, because the events can occur at the same time.
Not disjoint, because the events cannot occur at the same time.
Disjoint, because the events cannot occur at the same time.
Answer:
Disjoint, because the events cannot occur at the same time.
Step-by-step explanation:
disjoint events are mutually exclusive events.
if a and b are two events then a intersection b will be 0 . they cannot occur at the same time.
here in the given problem let the event A be randomly drawing a jack from a standard deckn of card and evnt B be randomly drawing an ace from a standard deck of card.
since in a same card jack and ace cannot occur they are disjoint events.
therefore randomly drawing a jack from a standard deck of cards and randomly drawing an ace from a standard deck of cards are disjoint events because the events cannot occur at the same time.
The two events are disjoint because a card from a standard deck cannot be both a jack and an ace at the same time. That is, these events cannot occur simultaneously.
Explanation:In the given scenario, the two events - randomly drawing a jack from a standard deck of cards and randomly drawing an ace from a standard deck of cards - are disjoint. This is because these are separate and distinct events which cannot occur simultaneously. In terms of probability theory, two events are considered disjoint if the occurrence of one event excludes the possibility of the occurrence of the other event. In a standard deck of cards, a card cannot be both a jack and an ace at the same time.
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if 2.1x+4.2y=14.7 and
−5.7x−1.9y=−11.4
what is x and what is y?
Answer:
Step-by-step explanation:
What is an equation of the line that passes through the point (4, -1) and has
slope -5?
This is what my teacher says to do and i dont know how to solve it. Can anyone help?
Answer:
y + 1 = -5(x - 4)
y + 1 = -5x + 20
y = -5x + 19
after placing an equation into his calculator Rob got the following table. He then determine that X=6 when f (x) = -4 is he correct? explain
x | f(x)
——————
-4 | 6
——————
-2 | 3
——————
0 | -1
——————
2 | -4
Answer:
f(6) = - 4 is incorrect.
Step-by-step explanation:
In the given table the values of x and corresponding values of f(x) are given.
The ordered pairs are (-4,6), (-2,3), (0,-1) and (2,-4).
Now, we have to determine the function y = f(x) from any two of the given ordered pair.
The equation of the function is
[tex]\frac{y - 6}{6 - 3} = \frac{x - (- 4)}{- 4 - (- 2)}[/tex]
⇒ -2(y - 6) = 3(x + 4)
⇒ 2y + 3x = 0 ........... (1)
Now, putting x = 6 in the above equation (1), we get y = - 9
Therefore, f(6) = - 9
Hence, f(6) = - 4 is incorrect. (Answer)
The perimeter of a rectangle is 74 cm. The length of a rectangle is 5cm less than twice the width. Find the dimensions of the rectangle.
The width of the rectangle is 14 cm and the length is 23 cm.
Explanation:Let's assume the width of the rectangle is x cm. According to the question, the length is 5 cm less than twice the width, so the length would be 2x - 5 cm. The perimeter of a rectangle is calculated by adding up the lengths of all its sides. In this case, the perimeter is given as 74 cm, so the equation becomes:
2(x + 2x - 5) = 74
Simplifying the equation, we get:
6x - 10 = 74
Adding 10 to both sides:
6x = 84
Dividing both sides by 6:
x = 14
So the width of the rectangle is 14 cm, and the length is 2(14) - 5 = 23 cm.
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which property is shown by the rails of a railway track?
The correct answer is :
B) parallelism
The rails of a railway track demonstrate parallelism because they run alongside each other without intersecting, maintaining a constant distance apart. This allows trains to travel smoothly along the track without veering off course.
The complete question is here:
Which property is shown by the rails of a railway track?
A) perpendicularity
B) parallelism
C) intersecting lines
D) opposites
8. In 1986, an accident at the Chernobyl nuclear power reactor led to widespread
contamination of Cesium-137, a highly radioactive, man-made isotope of Cesium. It has a
half-life of 30.17 years, which means it decays at a rate of 2.3% per year. It is estimated
that nearly 191,500 kBq/m² was leaked during the disaster. How much of the material is
still radioactive now, 25 years later?
Answer:
79,342.061650646
Step-by-step explanation:
if 1/2 9f life is 30.17
complete life is 60.34
HELP PLEASE!!
What is a line segment?
Step-by-step explanation: To understand what a line segment, we first need to introduce the most basic figure in geometry which is called a point. A point in usually labeled with a capital letter. For example, .A.
When we have two points such as points X and Y, we can introduce our next figure in geometry which is called a line segment. For example, segment XY. A line segment is defined as a figure that's composed of two points which are called the endpoints and all the points in between.
Segment XY can be represented as XY with a segment drawn over it like I have attached in in the image provided.
Tracy deposited $59 into a bank account that earned 3.5% simple interest each year.
If no money was deposited into or withdrawn from the account, how much money was in the account after 112 years?
Round your answer to the nearest cent.
Enter your answer in the box.
$
/second questoin Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 12 year, she had earned $5.00 in interest on the account.
If no other money was deposited into or withdrawn from the account, how much was her initial deposit?
Enter your answer in the box.
$
Answer:
Step-by-step explanation:
1) Tracy:
P =$ 59 ; r =3.5% ; T = 12 years
SI = PrT/100
= 59 * 3.5 * 12 /100
= $24.78
Amount Tracy that will be after 12 years in her account = $ 59 +$24.78
= $83.78
simplify 3(2x- 3xy) + 5x-5xy
Answer:
11x-14xy
Step-by-step explanation:
3(2x- 3xy) + 5x-5xy
=6x-9xy+5x-5xy
=11x-14xy
Answer: The answer is 11x-14xy
Step-by-step explanation:
3(2x- 3xy) + 5x-5xy
6x-9xy+5x-5xy
6x+5x-9xy-5xy
11x-14xy
A.
discrete
B.
continuous
C.
linear
D.
nonlinear
E.
increasing
F.
decreasing
G.
both increasing and decreasing
H.
neither increasing nor decreasing
B. Continuous, D. Non Linear, And G. Both Increasing and Decreasing.
I think.
88511, 16351, ?, 10251
Complete the sequence
Answer:
73155
Step-by-step explanation:
To find sequence, we need to find the pattern of number.
88511= [tex]8 + 8, 8-5, 5\times 1, \frac{1}{1} = 16351[/tex]
16351= [tex]1+6,6-3,3\times 5,\frac{5}{1} = 73155[/tex]
73155= [tex]7+3, 3-1, 1\times 5, \frac{5}{5} = 10251[/tex]
10251
The missing number in the sequence '88511, 16351, ?, 10251' is 60809, as the pattern in this sequence is to subtract 77160 from the previous number and take its absolute value.
Explanation:This is an example of a number sequence problem. Let me explain how we can find the missing number in the sequence '88511, 16351, ?, 10251'. To solve this, we need to identify the pattern used to generate this sequence. In this case, it appears the number 77160 (88511 - 16351) is subtracted to get the next number.
So if we subtract 77160 from 16351, we get -60809. But given the pattern of the sequence, all numbers are positive. Therefore, we need to take the absolute value of the result to fit the sequence. So our missing number would then be 60809.
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Carey has already knit 2 centimeters of scarf, and can knit 1 centimeter each night. After
45 nights of knitting, how many centimeters of scarf will Carey have knit in total?
ensed
91
centimeters
Time
Answer:
47cm
Step-by-step explanation:
if she already has 2cm and can knit 1 more very night after 45 nights that leaves you with 45cm in scarf then you add the 2cm you already had.
Find three consecutive even integers such that the sum of the first, twice the second, three times the third is -76. What is the number?
(the three numbers is the same number)
Answer:
The numbers are -14,-13 and -12
Step-by-step explanation:
The correct question is
Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?
Let
x ----> the first consecutive integer
x+1 ---> the second consecutive integer
x+2 ---> the third consecutive integer
we have that
[tex]x+2(x+1)+3(x+2)=-76[/tex]
solve for x
apply distributive property
[tex]x+2x+2+3x+6=-76[/tex]
Combine like terms
[tex]6x+8=-76[/tex]
subtract 8 both sides
[tex]6x=-76-8[/tex]
[tex]6x=-84[/tex]
Divide by 6 both sides
[tex]x=-14[/tex]
so
[tex]x+1=-14+1=-13[/tex]
[tex]x+2=-14+2=-12[/tex]
therefore
The numbers are -14,-13 and -12
Hii:) is this the simplest form or can it be further simplified? Thanks :)!
Step-by-step explanation:
[tex](12 + 3 \sqrt{2 } - 2 \sqrt{5} )(2 + 3 \sqrt{2} + 2 \sqrt{5} ) \\ = 24 + 36 \sqrt{2} + 24 \sqrt{5} + 6 \sqrt{2} + 18 + 6 \sqrt{10} - 4 \sqrt{5} - 6 \sqrt{10} - 20 \\ = 22 + 42 \sqrt{2} + 20 \sqrt{5} [/tex]
The area of a trapezium is 34 cm and the length one of its parallel side is
10.4cm and its height is 4cm.Find the length of the other parallel side.
Answer:
6.6 cm.
Step-by-step explanation:
The area of a trapezium A = (h/2)(a + b) where h = the height, a and b are the length of the parallel sides.
So substituting the given values in this formula:
34 = (4/2)(10.4 + b)
34 = 2(10.4 + b
34 = 20.8 + 2b
2b = 34 - 20.8 = 13.2
b = 6.6 cm.
How can you use the point-slope form of a line when only given two points?
Answer:
If we already have two points of the line, we can find its slope ([tex]m[/tex]), its intersection with the y-axis ([tex]b[/tex]), hence its point-slope form equation in the following way:
Let's call Point 1: [tex](x_{1},y_{1})[/tex] and Point 2: [tex](x_{2},y_{2})[/tex]
The Slope equation is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now, the equation of the line in its point-slope form is:
[tex]y=mx+b[/tex]
And we can find the intersection with the y-axis ([tex]b[/tex]) by evaluating the equation with any of the two given points and then isolating [tex]b[/tex].
the binomial 8x+6 is equivalent to
Using the Distributive Property
The answer would be 3.
2 *4x = 8x and 2 * 3 = 6, to get 8x 6
A system of equations is shown below:
4x = -3y + 17
3x - 4y = -6
Answer:
x = 2, y = 3 → (2, 3)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}4x = -3y + 17&\text{add}\ 3y\ \text{to both sides}\\3x - 4y = -6\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=17&\text{multiply both sides by 4}\\3x - 4y = -6&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}16x+12y=68\\9x -12y = -18\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad25x=50\qquad\text{divide both sides by 25}\\.\qquad x=2\\\\\text{Put the values of }\ x\ \text{to the second equation}[/tex]
[tex]3(2)-4y=-6\\6-4y=-6\qquad\text{subtract 6 from both sides}\\-4y=-12\qquad\text{divide both sides by (-4)}\\y=3[/tex]
find the exact values of sin θ/2 and cos θ/2 for sin θ = 3/4 on the interval 0° ≤ θ ≤ 90°
Answer:
Step-by-step explanation:
If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.
Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,
[tex]4^2=3^2+b^2[/tex] and
[tex]16-9=b^2[/tex] and
[tex]b=\sqrt{7}[/tex]
Now for the forula for the sin of a half-angle:
[tex]sin(\frac{\theta}{2})=\sqrt{\frac{1-cos\theta}{2} }[/tex]
Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is [tex]\frac{\sqrt{7} }{4}[/tex]
Filling in the formula then:
[tex]sin(\frac{\theta}{2})=\sqrt{\frac{1-\frac{\sqrt{7} }{4} }{2} }[/tex]
Get a common denominator on the upper fraction:
[tex]sin(\frac{\theta}{2})=\sqrt{\frac{\frac{4-\sqrt{7} }{4} }{2} }[/tex]
Bring up the 2 as 1/2 to multiply and get:
[tex]sin(\frac{\theta}{2})=\sqrt{\frac{4-\sqrt{7} }{8} }[/tex]
When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value:
[tex]cos(\frac{\theta}{2})=\sqrt{\frac{4+\sqrt{7} }{8} }[/tex]
A diagram of a concrete patio is shown, where each small square represents one square meter. Find the total area of the concrete patio.
Answer:
C
Step-by-step explanation:
The red bordered area is the patio. We need to find its area.
We will consider
If this was a square, full red square. Then we find the area of the square.
After that, we will subtract the white part that is not there to create the patio shape.
Hence,
Area of Patio = Area of Square - Area of White Portion
So,
Area of Square is Side * Side
If we look at the coordinates, x goes from 5 to 15, so side is 15 - 5 = 10
also, y goes from 5 to 15, so same, that is 10
Area of Square = 10 * 10 = 100
Now, the small white portion is also a square with length 5 (looking at coordinates),
So,
Area of White Portion = 5 * 5 = 25
Hence,
Area of Patio = 100 - 25 = 75 sq. meters
Correct answer is C
jamal's age is 3 more than 3 times Mike's age. Mike's age is 17 years less than Jamals agee. What is the sum of the ages of Mike and Jamal?
Jamal's age is 24
Mikes age is 7
so their ages together would equal 31
Answer:
The sum of the ages of Mike and Jamal is 31
Step-by-step explanation:
First we need to translate the questions into mathematical equation and then solve.
Let x be Jamal's age and y be Mike's age.
"Jamal's age is 3 more than 3 times Mike's age" can be written mathematically as;
x =3 + 3y ---------------------------------------------------------------(1)
"Mike's age is 17 years less than Jamal's age" can be written mathematically as ;
y = x - 17 -----------------------------------------------------------------(2)
Substitute equation (1) into equation (2)
y = 3 + 3y - 17
y = 3y - 14
subtract 3y from both-side of the equation
y - 3y = 3y - 3y - 14
-2y = -14
Divide both-side of the equation by -2
[tex]\frac{-2y}{-2}[/tex] = [tex]\frac{-14}{-2}[/tex]
y = 7
Mike is 7 years old
Substitute y = 7 into equation (1)
x = 3 + 3y
= 3 + 3(7)
= 3+21
=24
Jamal is 24 years old
The sum of their ages is = x + y = 24 + 7 = 31
Therefore, The sum of the ages of Mike and Jamal is 31