The expression for determining the total cost of buying granola and flour is (3.25/g) * g + (0.74/f) * f. The values of g and f represent the number of pounds of each item. To find the total cost, substitute the values into the expression.
Explanation:The expression that can be used to determine the total cost is:
Total cost = ($3.25/g) * g + ($0.74/f) * f
where 'g' represents the number of pounds of granola and 'f' represents the number of pounds of flour.
For example, if you wanted to find the total cost of buying 5 pounds of granola and 2 pounds of flour, you would substitute g = 5 and f = 2 into the expression to get:
Total cost = ($3.25/5) * 5 + ($0.74/2) * 2 = $16.25 + $1.48 = $17.73
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The total cost of buying g pounds of granola at $3.25 per pound and f pounds of flour at $0.74 per pound can be determined using the expression 3.25g + 0.74f.
To determine the total cost of buying g pounds of granola for $3.25 per pound and f pounds of flour for $0.74 per pound, you can use the following expression:
3.25g + 0.74f
Here's a step-by-step explanation:
For granola, the cost per pound is $3.25. Therefore, for g pounds, the total cost is 3.25g.For flour, the cost per pound is $0.74. Therefore, for f pounds, the total cost is 0.74f.Add the costs together to get the total cost: 3.25g + 0.74f.This expression gives you the total cost based on the quantities of granola and flour you wish to purchase.
A pair of shoes usually sells for $62. If the shoes are 40% off, and sales tax is 8%, what is the total price of the shoes, including tax?
Answer:
45.57
Step-by-step explanation:
Final answer:
After applying a 40% discount to the original $62 price of the shoes and adding an 8% sales tax, the total cost of the pair of shoes is $40.18.
Explanation:
The question involves calculating the total price of a pair of shoes after a discount and adding sales tax. To find the discounted price, we take 40% off the original price of $62. To calculate 40% of $62, we multiply 62 by 0.40 (which is 40% as a decimal), giving us $24.80. We subtract this discount from the original price: $62 - $24.80 = $37.20, which is the discounted price of the shoes.
Next, calculate the sales tax on the discounted price by converting the sales tax rate from a percent to a decimal. The sales tax rate is 8%, which as a decimal is 0.08. Multiply the discounted price by the sales tax rate: $37.20 x 0.08 = $2.976, which we round to $2.98.
Finally, add the sales tax to the discounted price to find the total cost: $37.20 + $2.98 = $40.18. Therefore, the total price of the shoes, including tax, is $40.18.
Find the ordered pair (s, t) that satisfies the system
s/2 - 3t = -1
3t - 2s = 3
[tex]\left\{\begin{array}{ccc}\dfrac{s}{2}-3t=-1&\text{multiply both sides by 4}\\3t-2s=3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2s-12t=-4\\3t-2s=3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad -9t=-1\qquad\text{divide both sides by (-9)}\\.\qqud\qquad\boxed{t=\dfrac{1}{9}}\\\\\text{Put the value of t to the second equation}\\\\3\left(\dfrac{1}{9}\right)-2s=3\\\\\dfrac{1}{3}-2s=3\qquad\text{subtract}\ \dfrac{1}{3}\ \text{from both sides}[/tex]
[tex]-2s=2\dfrac{2}{3}\qquad\text{divide both sides by (-2)}\\\\s=\dfrac{8}{3}\cdot\left(-\dfrac{1}{2}\right)\\\\\boxed{s=-\dfrac{4}{3}}\\\\Answer:\ \boxed{\left(-\dfrac{4}{3},\ \dfrac{1}{9}\right)}[/tex]
By simplifying and rearranging the given system of equations, we find that the ordered pair (s, t) that satisfies the system is (2, 1 + 2/3).
Explanation:The system of equations given in the question is:
s/2 - 3t = -1
3t - 2s = 3.
We can begin solving this system by first multiplying the first equation by 2 to eliminate the fraction, giving us:
s - 6t = -2.
Next, we rearrange the second equation to be in terms of 's':
2s = 3t + 3.
We then substitute this into the first equation and solve for 't':
(3t + 3) - 6t = -2,
simplifying to:
-3t + 3 = -2,
leading us to t = 1 + 2/3.
Substituting 't' into the second equation to find 's', we get:
2s = 3(1 + 2/3) + 3, which simplifies to s = 2. Therefore the ordered pair (s,t) that satisfies the system of equations is (2, 1 + 2/3).
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Which of the following is not a polynomial? Question is in the picture.
Answer:
4-x
Step-by-step explanation:
u can tell cause it doesn't have the exponent on the top and all that jazz
Sam is building a model of an antique car the scale of his model to the actual car is 1:10 his model is 16 1/2 inches long. How long is the actual car
16.5(10)=165
The length of the actual car is 165in.
2) On a trip to the movies a family spent $35 on tickets, and another $25 on popcorn. They also spent $10 on drinks. The oldest son spent some money on candy. Altogether the family spent $76. How much did the oldest son spend on candy?
Brady rode his bike 70 miles in 4 hours he rode at an average speed of 17 mph for t hours and at an averege rate of speed of 22 mph for the rest on the time how long did brady ride at the lower speed
i think it will be 5 minutes
Victor needs 30 feet of rope. The rope he wants to buy is sold by the yard. He knows that there are 3 feet in 1 yard. How many yards should he buy
A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean floor is 60 meters directly below the ship, how many meters is it from that point on the ocean floor to the wreck?
Answer:
The 13.2 meters from that point on the ocean floor to the wreck.
Step-by-step explanation:
As given
A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.
If a point on the ocean floor is 60 meters.
Now by using the trigonometric identity.
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
As shown in the figure given below.
Perpendicular = CB
Base = AC = 60 meters
[tex]\theta = 12.5^{\circ}[/tex]
Put in the identity
[tex]tan\ 12.5^{\circ} = \frac{CB}{AC}[/tex]
[tex]tan\ 12.5^{\circ} = \frac{CB}{60}[/tex]
[tex]tan\ 12.5^{\circ} = 0.22[/tex]
[tex]tan\ 12.5^{\circ} = 0.22[/tex]
[tex]0.22= \frac{CB}{60}[/tex]
CB = 60 × 0.22
CB = 13.2 meters
Therefore the 13.2 meters from that point on the ocean floor to the wreck.
The distance from the point on the ocean floor directly below the ship to the shipwreck is approximately 13.3 meters.
We will use the tangent function, which relates the angle of depression to the opposite side (the distance from the point directly below the ship to the shipwreck) and the adjacent side (the depth of the ocean at the point directly below the ship).
Given:
The angle of depression [tex]\theta[/tex] is [tex]12.5^o.[/tex]
The depth of the ocean at the point directly below the ship, h, is 60 meters.
We want to find the distance from the point directly below the ship to the shipwreck, which we will call [tex]d.[/tex]
Using the tangent function :
[tex]\[ \tan(\theta)[/tex] = [tex][\frac{\text{opposite}}{\text{adjacent}}][/tex]
[tex]\[ \tan(12.5^o) = \frac{d}{60} \][/tex]
To find d, we rearrange the equation: [tex]\[ d = 60 \times \tan(12.5^o) \][/tex]
Now we calculate the tangent of 12.5 and multiply it by 60:[tex]\[ d = 60 \times \tan(12.5^o) \][/tex]
[tex]\[ d \approx 60 \times 0.22169\][/tex]
[tex]\[ d \approx 13.3014 \][/tex]
Therefore, the distance from the point on the ocean floor directly below the ship to the shipwreck is approximately 13.3 meters.
The diagram of question is:
At the grocery store, Vanessa bought 1.02 pounds of ground beef, 1.6 pounds of tomatoes, and 1.2 pounds of chicken. How much did these three items weigh altogether?
Answer:
3.82 pounds.
Step-by-step explanation:
We have been given that at the grocery store, Vanessa bought 1.02 pounds of ground beef, 1.6 pounds of tomatoes, and 1.2 pounds of chicken.
To find the total weight of three items, let us add 1.02, 1.6 and 1.2.
[tex]\text{The total weight of three items}=1.02+1.6+1.2[/tex]
[tex]\text{The total weight of three items}=3.82[/tex]
Therefore, three items weigh 3.82 pounds altogether.
Final answer:
Vanessa bought a total of 2.82 pounds of food, calculated by adding the weight of the ground beef, tomatoes, and chicken she purchased.
Explanation:
To calculate the total weight of the ground beef, tomatoes, and chicken Vanessa bought, simply add up their weights:
Ground beef: 1.02 pounds
Tomatoes: 1.6 pounds
Chicken: 1.2 pounds
To find the sum, you can add these values together:
1.02 + 1.6 + 1.2 = 2.82 pounds
So, Vanessa bought a total of 2.82 pounds of food.
Write the sentence as an inequality. 14 is no less than 8 times a number x plus 6.
Answer:
[tex]x \leq 1[/tex]
Step-by-step explanation:
Multiplying 8 by x can be written as 8x, and +6 on end:
8x + 6
Because it says 14 is no less than, the equal to or more than sign needs to be used:
[tex]8x + 6 \leq 14[/tex]
The -6 can be moved over to the other side making it a -6:
[tex]8x \leq 14 - 6[/tex]
[tex]8x \leq 8[/tex]
Simplify by dividing both sides by 8:
[tex]x \leq 1[/tex]
Which is the inequality!
Answer:
The given statement can be written as [tex]14\geq 8x+6[/tex] or [tex]x\leq 1[/tex].
Step-by-step explanation:
It is required to write the sentence as an inequality.
The given sentence is "14 is no less than 8 times a number x plus 6".
The given statement can be written as " 14 can be equal or more than 8 times a number x plus 6"
Now, in the inequality form, the statement will be,
[tex]14\geq 8x+6[/tex]
Solve the above inequality as,
[tex]14\geq 8x+6\\8\geq 8x\\1\geq x\\x\leq 1[/tex]
Therefore, the given statement can be written as [tex]14\geq 8x+6[/tex] or [tex]x\leq 1[/tex].
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The male elephant weighs 8,000 pounds wich is the is th same as 4 tons the female weighs 7,000 pounds how many tons does the female weighs
Answer:
3.5 tons
Step-by-step explanation:
HELP CHECK THIS
The work of a student to solve a set of equations is shown:
Equation A: y = 15 − 2z
Equation B: 2y = 3 − 4z
Step 1: −2(y) = −2(15 − 2z) [Equation A is multiplied by −2.]
2y = 3 − 4z [Equation B]
Step 2: −2y = 15 − 2z [Equation A in Step 1 is simplified.]
2y = 3 − 4z [Equation B]
Step 3: 0 = 18 − 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3
In which step did the student first make an error?
Step1
Step 2
Step 3 <<<<<
Step 4
In Sakura's garden, for every 55 red flowers, there are 1010 yellow flowers. There are a total of 7575 yellow and red flowers in her garden. How many red flowers are in Sakura's garden?
Answer:
The answer is 25
Step-by-step explanation:
Therefore, there are 25 red flowers in Sakura’s garden1.
We know that for every 55 red flowers, there are 1010 yellow flowers.
The total number of flowers in the garden is 7575 (which includes both red and yellow flowers).
Let’s use the variable (x) to represent the number of red flowers in the garden. We can set up the following ratio:
[tex][ \frac{{\text{{Red flowers}}}}{{\text{{Total flowers}}}} = \frac{{55}}{{55 + 1010}} ][/tex]
Solving for (x):
[tex][ \frac{{\text{{Red flowers}}}}{{7575}} = \frac{{55}}{{55 + 1010}} ][/tex]
Cross-multiplying:
[tex][ 55 \cdot 7575 = 55x + 1010x ][/tex]
Simplifying:
[tex][ 7575 = 55x + 1010x ][/tex]
Combining like terms:
[tex][ 7575 = 1065x ][/tex]
Solving for (x):
[tex][ x = \frac{{7575}}{{1065}} = 25 ][/tex]
A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms. What's its density in grams per cubic centimeter?
Answer:
The density of the bar of gold is 19.32 grams per cubic centimeter .
Step-by-step explanation:
Formula
[tex]Density = \frac{Mass}{Volume}[/tex]
As given
A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms.
As 1 kilogram = 1000 gram
Than convert 13.949 kilograms into grams.
13.949 kilograms = 13.949 × 1000 grams
= 13949 grams
Mass = 13949 grams
Volume = 722 cubic centimeter
As put in the formula
[tex]Density = \frac{13949}{722}[/tex]
Density = 19.32 grams per cubic centimeter (Approx)
Therefore the density of the bar of gold is 19.32 grams per cubic centimeter .
The matrix shows the number of different basketball shots three players made in two minutes. These players want to double these results. Which matrix shows what the players want to do?
Answer:
Look at your answer choices and see which one has multiplied each of the shots by 2
Step-by-step explanation:
Step-by-step explanation:
To find the right matrix, you have to look which matrix among the options has doubled each item.For example, if you have:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Then, your answer would be:
[tex]\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right][/tex]
Because each term is the double of the original matrix.
Remember that, this operation is between a scalar and a matrix. That operation is done according to this property:[tex]aM=a\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] = \left[\begin{array}{ccc}1a&2a&3a\\4a&5a&6a\\7a&8a&9a\end{array}\right][/tex]
In fewer words, the scalar will multiply each element of the matrix.
Using the linear combination method, what is the solution to the system of linear equations 7x-2y=-20 and 9x+4y=-6 ?
Answer:
The answer would be well, B.(-2,3)
The given system of equations are solved to obtain x = -2 and y = 3.
What are the types of a system of equations?The given system of equation can either have a unique solution, more than one solutions or no solution.
On this basis they are divided into two parts consistent and inconsistent.
A consistent system has one or more solutions while for an inconsistent system there are no solutions.
The equations are given as,
7x - 2y = -20 (1)
9x + 4y = -6 (2)
Multiply equation (1) by 2 and then add to (2) to get,
2(7x - 2y) + 9x + 4y = -20 × 2 + (-6)
⇒ 23x = -46
⇒ x = -2
Then, substitute x = -2 in equation (1) to get,
7 × -2 - 2y = -20
⇒ y = 3
Hence, the solution of the given system of equations is given as x = -2 and y = 3.
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A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level the rope also touches a tree that is growing halfway between the state and the building if the tree is 38 feet tall how tall is the building
Because the tree is the halfway point, the building would be twice as tall:
The building is 38 x 2 = 76 feet tall.
Answer:
76 feet
Step-by-step explanation:
based on the looooooong txt, the building n tree form two similar right-angled triangles w the rope as the hypothesis.
tree is halfway between stake and bldg so stake-to-bldg = 2 x stake-to-tree
as the triangles are similar, their sides are in the same ratio
bldg height = 2 x tree height
= 2 x 38
= 76 feet tall
Please please help me!!!!!!!!
Answer: 20%
Step-by-step explanation:
200\1000
You can find the rise by _ the Y-coordinate of the left point from the y-coordinate of the right point
Answer:
Subtracting
Step-by-step explanation:
We know that the slope of a line is given by the rise over run. where rise is vertical difference between two points and run is the horizontal distance between the points.
[tex]\text{if }(x_1,y_1) \text{ and }(x_2,y_2)\text{ are two points on a line, then the}\\\text{slope of the line is given by}\\\\\text{Slope, }m=\frac{y_2-y_1}{x_2-x_1}\\\\\text{since slope}=\frac{\text{Rise}}{\text{Run}}, \text{ so Rise}=y_2-y_1\\\\\text{so we can find the rise by subtracting the Y-coordinate of the left point }\\\text{from the y-coordinate of the right point}.[/tex]
will mark brainliest !!
how do you calculate acceleration
Answer:
You use F = m x a to solve for acceleration. You can change this formula around to solve for acceleration by dividing both sides by the mass, so: a = F ÷ m. To find the acceleration, simply divide the force by the mass of the object being accelerated.
HOPE IT HELPS
F= Force
A = Acceleration
M = Mass
Answer:
a=v/t
Step-by-step explanation:
to find acceleration divide change in velocity and change in time!
Hope this helps!!
Have a great day!
NeeD HELP ASAP ! Please. the function f(x)=x^2. The graph of g(x) is f(x) translated to the right 3units and down 3 units what is the function rule for g(x) ? Please show me step by step
Answer:
g(x) = (x-3) ^2 -3
Step-by-step explanation:
f(x) = x^2
To shift down 3 units, subtract 3 ( When we move up, we add)
h(x) = x^2 -3
To shift to the right 3 units, replace x with (x-3). I know it seems backwards, but right is minus and left is plus.
g(x) = (x-3) ^2 -3
Please answer this question! 30 points and brainliest!
Answer:
c x >=3
Step-by-step explanation:
9-2x <= 3
Subtract 9 from each side
9-9-2x <=3-9
-2x <-6
Divide by -2. Remember to flip the inequality when multiplying or dividing by a negative number.
-2x/-2 >= -6/-2
x >=3
Answer: i think it would be letter c plz mark brainliest and add as friend
If JK and LM are congruent and parallel, then JKL and MLK are congruent.
Answer:
Given statement is TRUE.
Step-by-step explanation:
Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.
We know that corresponding angles formed by transversal line are congruent.
Hence ∠JKL = ∠ MLK ...(i)
Now consider triangles JKL and MLK
JK = LM {Given}
∠JKL = ∠ MLK { Using (i) }
KL = KL {common sides}
Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.
Hence given statement is TRUE.
To find the quotient of 8 :- 1/3, multiply 8 by
Answer:
3
Step-by-step explanation:
The ___________ is the center of gravity in a triangle.
A) centroid
B) circumcenter
C) incenter
D) orthocenter
Answer:
A) centroid
Step-by-step explanation:
I just looked it up.
Answer:
A. Centroid
Step-by-step explanation:
A centroid of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle. The centroid is also called the center of gravity of the triangle.
In the figure shown, what is the measure of angle x?
150 degrees
110 degrees
105 degrees
100 degrees
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
In ΔABC,
∠A= 30°
∠B=75°
We need to find the value of ∠ACD=x
As we know that "Sum of interior angles is equal to exterior angle":
So, we will have,
[tex]\angle A+\angle B=\angle ACD\\\\30\textdegree+75\textdegree=\angle ACD\\\\105\textdegree=\angle ACD[/tex]
Hence, Third option is correct.
Answer:
The answer is 105 degrees
180-75=105
The charge for ice skating is $3 for the skate rental and and 2 per hour to skate how much will you pay if you skate
Which statement is true ? Help plzzzz
Answer:
Correct choice is B
Step-by-step explanation:
The quadratic function g(x) has equation [tex]g(x)=ax^2+bx+c.[/tex] Find values of a, b and c:
[tex]g(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2.[/tex]
[tex]g(2)=3=a\cdot 2^2+b\cdot 2++2\Rightarrow 4a+2b=1.[/tex]
[tex]g(4)=2=a\cdot 4^2+b\cdot 4+2\Rightarrow 16a+4b=0.[/tex]
From the last equation [tex]b=-4a[/tex] and [tex]4a-8a=1,\\ \\a=-\dfrac{1}{4},\\ \\b=1.[/tex]
The equation of the quadratic function g(x) is
[tex]g(x)=-\dfrac{1}{4}x^2+x+2.[/tex] This quadratic function determines the parabola with vertex at point (3,2). Thus,
1. The maximal value of f(x) is 4 at x=2.
2. The maximal value of g(x) is 3 at x=2.
Thus, the maximal value of f(x) is greater than the maximal value of g(x). So option B is correct.
Robert wanted to know if the type of phone you used gave you better or worse service. Define the dependent and independent variables.
Answer:
Independent Variable - Type of Phone
Dependent Variable -Type of Service
Step-by-step explanation:
How to solve this problem?
Answer:
Can not be determined.
Step-by-step explanation:
We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.
Hence, option C is correct i.e. the limit can not be determined.
Answer:
cannot be determined
Step-by-step explanation:
If we have, [tex]\lim_{n \to \infty} {1+\frac{1}{n}}[/tex]
We plug in infinity for n directly
1/∞ =0
So when we plug in infinity for n then 1/n becomes 0
[tex]\lim_{n \to \infty} {1+\frac{1}{n}}[/tex]
[tex] {1+\frac{1}{infinity}}[/tex]
1+ 0 = 1
In our problem , limit says x-> ∞
there is no x term inside
[tex]\lim_{x \to \infty} {1+\frac{1}{n}}[/tex]
so we can clearly say limit cannot be determined