Total weight required is half pound, so let the amount of cashews be [tex] a[/tex] , and amount of peanuts be $b$
$\therefore a+b=0.5$ (1)
And we want this to cost $2.80$
Cost of $a$ pound of cashews will be $5.50\times a$ and cost of $b$ pound peanuts will be $2.30\times b$
$\therefore 5.5a+2.3b=2.8$ (2)
Substitute $a=0.5-b$ from equation (1) in equation (2)
$5.5(0.5-b)+2.3b=2.8$
$\implies -3.2b=2.8+5.5\times0.5 $
$\implies -3.2b=0.05$
$b$ comes out to be negative. That means there's no solution with the given conditions.
I checked once , I don't think there's any mistake. Can someone else verify too?
EDIT
I verified all the given options from calculator, and no option gives 2.80
Can someone PLEASE help with this question? thank you
Answer:
C) 1
Step-by-step explanation:
First half:
Invert and multiply
x²/y²*y³/x²=x²y³/y²x³=y/x
Second half:
Invert and multiply
1/y*x/1=x/y
Combine
y/x*x/y=xy/xy=1
Can someone help me find the amount on year 11
Answer:
525 dollars
Step-by-step explanation:
simple interest yearly ( year 11 does not count because the question asking at the amount at the beginning of year 11)
interest=300*0.075*10= 225
the amount in the account : 300+225=525 dollars
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
Answer:
Ok, our function is:
f(x) = 3*(x - 1)^2 + 2.
First, domain:
We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.
In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)
Then the domain is the set of all real numers.
Vertex:
Let's expand our function:
f(x) = 3*x^2 - 3*2*x + 1 + 2
f(x) = 3*x^2 -6*x + 2
The vertex of a quadratic function:
a*x^2 + b*x + c is at:
x = -b/2a
here we have:
a = 3 and b = -6
x = 6/2*3 = 6/6 = 1.
And the value of y at that point is:
f(1) = 3*(1 - 1)^2 + 2 = 2
Then the vertex is at: (1, 2)
Range:
The range is the set of all the possible values of y.
Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.
Then the minimal value of our quadratic function is the value at the vertex, y = 2.
This means that the range can be written as:
R = y ≥ 2
So the range is the set of all real numbers that are larger or equal than 2.
Possible Points: 100 One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After si hours, what was the temperature?
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The two inequalities that show the solution to these equations are n ≥ 55 and y ≥ 6
Step-by-step explanation:
We are given two inequalities that we have to solve. We can solve these inequalities as if we are solving for the variable.
n/5 ≥ 11
Multiply by 5 on both sides.
n ≥ 55
Now, let's do the second one.
-3y ≤ -18
Divide by -3 on both sides. When we divide by a negative in inequalities, then the sign is going to flip to its other side. So, this sign (≤) becomes this sign (≥)
y ≥ 6
(-3)+(-5)
What are the signs and places
Express 0.504 as a fraction in its lowest term
Answer:
63/125
Step-by-step explanation:
Turn the decimal .504
=> 504/1000
=> 504/1000 = 252/500
=> 252/500 = 126/250
=> 126/250 = 63/125
=> 63/125 cannot be simplified anymore.
So, 63/125 is the simplified fraction of .504
help me Complete each sentence to describe the algebraic expression 9 + y. The variable in the expression is . The operation in the expression is . The constant in the expression is .
Answer:
'y', "addition", '9'.
Step-by-step explanation:
The variable is an unknown value in an algebraic equation or expression. It is represented by a letter.
'y' would be the variable in the given equation.
The operation in the expression is addition. The '+' sign represents addition, which means 9 and 'y' would be added together to get the sum.
Constants are terms in a expression or equation that contains no variables. This means that constants are only numbers.
'9' would be the given constant in the expression.
Hope this helps.
Answer:
y
+
9
Step-by-step explanation:
max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s
Answer:
x = 11.5 hours
Step-by-step explanation:
Set up a proportion:
[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]
661.25/460 = 1.4375
Multiply 8 by 1.4375 to find x:
8(1.4375) = 11.5
x = 11.5 hours
(48. PERSEVERE Wha
PERSEVERE What is the greatest number of planes determined using any three of
the points A, B, C, and D if no three points are collinear?
Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points = [tex]C(4,3)[/tex]
[tex]=4[/tex] [ [tex]C(n,n-1)=n[/tex] ]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB=2x-12, AC=14, and BC=x+2
Answer: BC = 10
======================================================
Work Shown:
The term "collinear" means all points fall on the same straight line.
Point B is on segment AC.
Through the segment addition postulate, we can say
AB+BC = AC
This is the idea where we glue together smaller segments to form a larger segment, and we keep everything to be a straight line.
Apply substitution and solve for x
AB+BC = AC
2x-12+x+2 = 14
3x-10 = 14
3x = 14+10
3x = 24
x = 24/3
x = 8
Then we can find the length of BC
BC = x+2
BC = 8+2
BC = 10
--------
Note that AB = 2x-12 = 2*8-12 = 16-12 = 4
and how AB+BC = 4+10 = 14 which matches with AC = 14
Therefore we have shown AB+BC = AC is true to confirm the answer.
Collinear points are points on the same line.
The value of BC is 10
Since points A, B and C are on the same line, where B is between points A and C.
So, we have:
[tex]AC = AB + BC[/tex]
Substitute values for AC, AB and BC
[tex]14 = 2x - 12 + x + 2[/tex]
Collect like terms
[tex]2x +x =14 + 12 - 2[/tex]
[tex]3x =24[/tex]
Divide both sides of the equation by 3
[tex]x =8[/tex]
Substitute 8 for x in BC = x + 2
[tex]BC =8 + 2[/tex]
[tex]BC =10[/tex]
Hence, the value of BC is 10
Read more collinear points at:
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. Find two polynomial expressions whose quotient, when simplified, is 1/x . Use that division problem to determine whether polynomials are closed under division.
Answer:
The two polynomials are:
(x + 1) and (x² + x)
Step-by-step explanation:
A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.
Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.
Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.
So,
Let's multiply both numerator and denominator by (x + 1) to get;
(x + 1)/(x(x + 1))
This gives; (x + 1)/(x² + x)
Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
[tex]\frac{63,756×60}{70×5,280}[/tex]
Answer:
[tex]1035[/tex]
Step-by-step explanation:
(63756×60)/(70×5280)
=1035
The sales tax for an item was $15.60 and it cost $390 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
15.60 times 100 divided by 390=4%
Step-by-step explanation:
The required sales tax rate percentage is 4%.
The sales tax for an item was $15.60 and it cost $390 before tax. To find the sales tax rate. Write your answer as a percentage.
the percentage is defined as, the composition of something out of whole inbounds of 100.example 10% of 150 = 10 * 150/100
= 15
It shows that 10 percent of 150 is 15.
sales tax = $15.60
cost = $390
To get the sales tax percentage we have to find out the tax composition of tax to the cost. So,
Sale tax percent = sale tax/cost * 100
= 15.60/390 * 100
= 0.04 * 100
= 4 %
Thus, the required sales tax rate percentage is 4%.
Learn more about percent here:
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When the factors of a trinomial are (x-p) and (x+q) then the constant teen of the trinomial is
(x-p)(x-q)
y(x-q) .... let y = x-p
yx - yq ... distribute
x(y) - q(y)
x(x-p) - q(x-p) ... replace y with x-p
x^2 - px - qx + pq .... distribute
x^2 + (-p-q)x + pq
The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq
The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground. t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
The time will be t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
What is Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable the dependent variable.
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum.
We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground.
The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
To know more about Function follow
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What is 33⁄5 as an improper fractions
Answer:
6 3/5
Step-by-step explanation:
33/5 = 6 R3
Answer:
6.6
Step-by-step explanation:
33÷5=6.6
33 divided by 5equal
Complete the sequence
8,27,64,125,.........
Just next letter
Answer:
216.
Step-by-step explanation:
These numbers are perfect cubes starting with 2^3.
2^3, 3^3, 4^3, 5^3 so the next one is 6^3, which is 216.
how many are 5 raised to 2 ???
Answer:
25
Step-by-step explanation:
5^2
This is 5 multiplied by itself 2 times
5*5
25
How can I find how many 13 are in 33?
Answer:
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
Step-by-step explanation:
Long division:
13 33
13*2 = 26
33 - 26 = 7
we have: 33/13 = 2 r7
we know that we can rewrite the remainder as 7/13
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
PLEASE HELP ME ASAP Find the total surface area.
Answer:
[tex]243.2cm^{2}[/tex]
Step-by-step explanation:
Step 1: Understand what this shape is constructed out of
2 Congruent Trapezoid
2 Congruent Rectangles
1 Small Rectangle
1 Large Rectangle
Step 2: Find the surface area of the shapes
Area of 2 Trapezoids =[tex](\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}[/tex]
Area of 2 Rectangles = [tex](3)(10)(2)=(60)(2)=120cm^{2}[/tex]
Area of Smaller Rectangle = [tex](4)(10)=40cm^{2}[/tex]
Area of Larger Rectangle = [tex](6)(10)=60cm^{2}[/tex]
Step 3: Add the surface areas up
[tex]23.2cm^{2} +120cm^{2} +40cm^{2} +60^{2} =243.2cm^{2}[/tex]
Therefore the surface area of the Trapezoidal Prism is [tex]243.2cm^{2}[/tex]
f(x)=x^2 what is g(x)?
pls help me
A can do a piece of work in 10 days and B in 12 days.
With the help of C they can finish the work in 4 days. How
long will C take to do it alone?
a) 12 days b) 15 days c) 18 days d) 20 days
Answer:
B. 15 days
Step-by-step explanation:
A=10=1/10 of the job
B=12=1/12 of the job
A+B+C=4=1/4 of the job
A+B
=1/10 + 1/12
=10+12/120
=22/120
=11/60
(A+B+C) - (A+B)
=1/4 - 11/60
=5 - 11/60
=4/60
=1/15
It would take C alone 15 days to finish the job
please help me solve
Answer:
18 square centimeters
Step-by-step explanation:
Notice that if e is the midpoint of the side CB, and angle [tex]\angle x = 45^o[/tex], then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 [tex]cm^2[/tex]
Answer:
(B) 18
Step-by-step explanation:
The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.
90 - 45 = 45
Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.
A = lw
A = (6)(3)
A = 18
The answer is B.
a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red.
Hey there! I'm happy to help!
If we have 6 red marbles and 4 blue marbles, we have 10 total marbles.
First, we have the probability that a marble we draw is red, which is 6/10. This simplifies to 3/5.
If this happens, there are only 5 red marbles left and 9 total ones. So, the probability of drawing a red one again is 5/9.
We multiply these two probabilities together to see the probability of them both happening.
[tex]\frac{3}{5} *\frac {5}{9}= \frac{1}{3}[/tex]
The probability that both marbles are red is 1/3.
Have a wonderful day! :D
Aug 19,7:01:38 PM
Kylie is moving and must rent a truck. There is an initial charge of $50 for the rental
plus a fee of $3 per mile driven. Make a table of values and then write an equation for
C, in terms of m, representing the total cost of renting the truck if Kylie were to
drive m miles.
Number of Miles Driven Total Cost to Rent Truck
Answer:
0 miles- $50
1 mile- $53
2 miles- $56
3 miles-$59
Step-by-step explanation:
you add $3 to the original 50 as you go each mile.
Does someone know how to solve this?
Answer:
6 quarts
Step-by-step explanation:
8 bags
--------
2 quarts
Multiply top and bottom by 3
8*3 bags
--------
2*3 quarts
24 bags
--------------
6 quarts
Answer:
6
Step-by-step explanation:
2 quarts of iced tea = 8 tea bags.
x quarts of Iced tea = 24 tea bags
=> 2/8 = x/24
=> Multiply the extremes and means
=> 8x = 48
=> 8x / 8 = 48 / 8
=> x = 6
6 quarts of iced tea can be made with 24 tea bags.
23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.
Answer:
Step-by-step explanation:
a) area of rhombus = 1/2 × d1 × d2 = 90cm^2
here d1 and d2 are the diagonals
d1 = 18 cm
1/2 × 18 × d2 = 90
9 × d2 = 90
d2 = 90/9
d2 = 10 cm
∴The length of other diagonal is 10 cm
b) d1 = 28 cm
d2 = 24 cm
area = 1/2 × d1 × d2
= 1/2 × 28 × 24
= 336 cm^2
∴ The are of the rhombus = 336 cm^2
Hope this helps
plz mark as brainliest!!!!!
How many solutions does this system of inequalities have graphed below
Answer:
There is only one solution set.
Step-by-step explanation:
The set can contain any number of solutions or none.
This is all I know, hope it helps.
