The linear equation for "a" in terms of "w" and "b" is:
a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."
To solve the equation for "a" in terms of "w" and "b," we can follow these steps:
Step 1: Start with the equation:
w = 7a + 4b
Step 2: Isolate the term with "a" on one side of the equation. To do this, subtract 4b from both sides:
w - 4b = 7a
Step 3: Divide both sides of the equation by 7 to solve for "a":
(w - 4b) / 7 = a
Step 4: Simplify the expression:
a = (w - 4b) / 7
Therefore, the linear equation for "a" in terms of "w" and "b" is:
a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."
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Find the volume of this triangular prism. Dimensions are in inches
Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points
Use the graph of f (x) to find the solutions to the equation f (x) = 0.
A. two solutions: x = 6, -2
B. two solutions: x = -6, 2
C. one solution: x = -12
D. no solutions
The graph of f(x) have two solution: x= -6, 2.
What is Solution of function?To graphically solve a system of linear equations, we graph both equations in the same coordinate system. The system's solution will be found where the two lines intersect.
For instance, The intersection of the two lines is (-3, -4), which is the solution to this system of equations.
To find the solution of f(x) at f(x) = 0.
we need to focus on the the points where the graph cuts the x axis.
This is because when f(x)= 0 then it means that y= 0 such that the points will lies on the x axis.
Now, from seeing the function have two solutions.
Thus, the solution of the f(x) is -6 and 2.
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Using the continuously compounding formula, what would the be the balance if you invest $5500 at a rate of 8% compounded continuously for 6 years? PLEASE SHOW ALL OF YOUR WORK in the space provided.
(3.) Would you be able to tell how much temperature rose since 6 A.M? Why or why not?
major help and if you can, please explain how you got your answer
Need help please, pt 4 Thanks!
Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.
Find the value of x in each of the following:
[tex] \sqrt[3]{27} = \: x[/tex]
[tex] \sqrt[3]{x} = \frac{1}{4} [/tex]
[tex] \sqrt[3]{ \frac{1}{512} } = \: x[/tex]
[tex] \sqrt[3]{x} = 11[/tex]
Please explain how you got your answer(s), thanks!
If the radius of the compass is 14 millimeters, what is the
approximate area of the compass?
A. 87.92 mm2
B. 615.44 mm2
C. 1,230.88 mm2
D. 43.96 mm2
Nick gets out of school at 2:25pm he has a 16 minute ride home on the bus next he goes on s 30 minute bike ride then he spends 55 minutes doing homework at what time does nick finish his homework
How does the volume of a cylinder change when its diameter is quadrupled?
When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.
When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.
The formula for the volume of a cylinder is [tex]\(V = \pi r^2 h\)[/tex], where r is the radius and h is the height.
If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.
Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.
Substituting the new radius into the volume formula, we get:
Original Volume: [tex]\(V_1 = \pi r^2 h\)[/tex]
New Volume: [tex]\(V_2 = \pi (2r)^2 h = \pi (4r^2) h\)[/tex]
We can see that the new volume is 4 times the original volume [tex](\(V_2 = 4V_1\))[/tex].
So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.
the cost of running an appliance varies jointly as the number of watts used, the hours of operation, and the cost per kilo-watt hour. A 6000 watt convection oven operates for 10 minutes for 15 cents at a cost of 7.5 cents per kilo-watt hour. what is the cost of cooking two meals if each meal takes 70 minutes to make?
The cost of cooking two 70-minute meals on a 6000-watt appliance with a kilo-watt rate of 7.5 cents will be roughly $1.05.
Explanation:Your question relates to the calculation of the cost of running an appliance based on its power, time of use, and the cost per kilo-watt hour. When evaluating power and energy consumption, we use an equation for energy, which states that E = Pt, where E is the energy (in kilo-watt hours), P is the power (in kilo-watts), and t is the time (in hours).
First, to find the cost, we need to convert everything to respective units. The 6000 watts is equivalent to 6 kilowatts (kw), and 10 minutes is equivalent to 10/60 or approximately 0.167 hours. The cost per kilo-watt hour is 7.5 cents.
The energy consumed would thus be E = Pt = (6kw)(0.167 hr)= 1kwh. The cost of running the appliance for 10 mins is (1kwh)(7.5 cent/kwh) = 7.5 cents.
To cook one meal, with a time of 70 minutes (or approximately 1.167 hours), we will have E = Pt = (6kw)(1.167 hr)= 7kwh. The cost of cooking one meal therefore would be (7kwh)(7.5 cent/kwh) = 52.5 cents.
Finally, to cook two meals, you would just double this cost, resulting in 2 * 52.5 cents = 105 cents or $1.05.
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This is an EXPLAIN YOUR THOUGHTS QUESTION, be sure to answer ALL parts of the questions and show all your work.
Task: Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm.
Part a) Identify the known values
Part b) Set up the equation that you will use to solve (be sure to include the known values and the variable that you are trying to solve for)
Part c) Solve the equation. (Be sure to include units!)
The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width
Beth drew four quadrilaterals which of the four quadrilaterals that she Drew is a regular polygon
How many solutions over the complex number system does this polynomial have
3x^6-x^3-4x^2+3x+52=0
Answer:
6 complex solutions
Step-by-step explanation:
(60 Points)
Question 1
Use the net to determine the total surface area.
(Picture 1)
A. 72 in2
B. 192 in2
C. 232 in2
D. 200 in2
Question 2
Use the net to determine the total surface area.
(Picture 2)
A.270 in2
B. 330 in2
C. 350 in2
D. 310 in2
Question 3
Use the net to determine the lateral surface area.
(Picture 3)
A. 134.4 in2
B. 72 in2
C. 103.2 in2
D. 92.8 in2
Question 4
Use the net to determine the total surface area.
(Picture 4)
A. 528 cm2
B. 480 cm2
C. 336 cm2
D. 192 cm2
Question 5
Use the net to determine the total surface area.
(Picture 5)
A. 249.6 cm2
B. 499.2 cm2
C. 108 cm2
D. 278.4 cm2
The total surface area of each of the figure are 232 inches², 310 inches², 103.2 inches², 336 cm² and 249.6 cm².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
1) Total surface area = (10 × 8) + (10 × 2) + (10 × 8) + (10 × 2) + (8 × 2) + (8 ×2)
= 232 inches²
2) Total surface area = 2 [(10 × 7) + (10 × 5) + (7 × 5)]
= 310 inches²
3) Total surface area = (2)(6)(4) + (2)(1/2)(6)(5.2) + (6)(4)
= 103.2 inches²
4) Total surface area = (4)(1/2)(8)(12) + (12)(12)
= 336 cm²
5) Total surface area = (4)(1/2)(12)(10.4)
= 249.6 cm²
Hence the total surface area area found.
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Given the figure below, find the values of x and z.
Answer:
x = 14; z = 83 hope this helps u
What is 10and 1/9 +7and5/6
let f(x)=2x^2-3x+8.what is the value of f(-4)?
what is the position of D on the number line below?
write your answer a fraction or mixed number
The position 'D' on a number line, based on the information given, is approximately one and two-thirds units, or 1 2/3, to the right of the center bottom perpendicular hash mark, often representing zero.
The position of 'D' on the number line represents the location of a particular point labeled as 'D.'
According to the provided reference, the fifth dot, presumably 'D', is about one and two-third perpendicular hash marks to the right of the center bottom perpendicular hash mark.
On a typical number line, the center bottom perpendicular hash mark often represents zero.
If each perpendicular hash mark to the right of zero denotes one unit, then 'D' would be located at 1 2/3 or 1.67 on the number line. However, without the actual number line, this remains an estimated position.
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The probable question may be:
What is the position of D below?
Mrs. Thomas is preparing a lunch for a group of students.
A can of juice has a radius of 4 cm and a height of 11 cm.
Mrs. Thomas knows she needs at least 5,100 Cm^3 of juice.
How many cans of juice will Mrs. Thomas need to buy?
To determine the number of cans of juice Mrs. Thomas needs to buy, calculate the volume of juice in one can and then divide the total required volume by the volume of one can. Mrs. Thomas will need to purchase at least 10 cans of juice.
To find out how many cans of juice Mrs. Thomas needs to buy, we need to calculate the volume of juice in one can first.
We use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.Calculate the volume of one can: V = 3.142 x (4 cm)² x 11 cm = 554.632 cm³.Divide the total volume needed by the volume of one can: Number of cans = 5,100 cm³ / 554.632 cm³ = 9.19.Since you can't buy a fraction of a can, Mrs. Thomas will need to buy at least 10 cans of juice.
how to solve 2x squared -6x-+=0
[tex] {2x}^{2} - 6x - 1 = 0[/tex]
The circle has a radius of 3 cm. What is the area of the circle?
A. 9.42 cm2
B. 56.52 cm2
C. 18.84 cm2
D. 28.26 cm2
Answer:
D: 28.26
Step-by-step explanation:
Emilio borrows $1200 from a bank with 8% simple interest per year. How much interest will he have to pay back in 2 years?
The interest per year on the amount of money that Emillio borrowed from the bank at the rate of 8% interest is $192
Interest can be regarded as the charges that is added to the principal, usually some percentage of the principal.Principal is the amount of money that is been lent out.Rate can be regarded as the percentage increase of the principal.Time (t) can be regarded as the period that is needed to pay the money that was lent out back.were were given rate (r) as[tex]8% = 0.08[/tex]%with[tex]interest (I)[/tex]as ?[tex]principal (P)= $1200[/tex]From the the formula for expressing
[tex]simple interest [ I= prt][/tex]
[tex]P= principal \\ I= interest\\ r= rate[/tex]Then substitute into the formula[tex]I= (1200 * 0.08 * 2)[/tex][tex]= 192.00[/tex]
Therefore, the interest on the money is $192
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Find M angle P
The diagram is not a scale
gene bakes 10 loaves of bre for the party. He needs 4 cups of milk for each loaf. How many quarts of milk does he need to make all of the loaves?
The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity. Unit rate is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.
13(1/3) can be written as,
= 13(1/3)
= 40/3
Each loaf requires 3 and four-fifths cups of flour.
This can be written as,
3(4/5) cups of flour = 1 loaf
19/5 cups of flour = 1 loaf
Multiply 5/19 on both sides.
1 cup of flour = 5/19 loaf
Multiply 40/3 on both sides.
40/3 cups of flour = 40/3 x 5/19 loaf
40/3 cups of flour = 3.5 loaf
This means we can make 4 loaves.
Thus,
The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.
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complete quesrtion:
Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake? 3 loaves of bread 4 loaves of bread 50 loaves of bread 51 loaves of bread
What is the value of x in the triangle ?