Answer:
The answers are y=15.4x and y=16.4x.
Step-by-step explanation:
I took the test just 3 minutes ago
Two or more expressions with an equal sign is called as Equation. y = 15.2x is the equation which could represent Relationship A.
What is Equation?Two or more expressions with an equal sign is called as Equation.
Given that,
Relationship A has a greater rate than Relationship B
Hours Worked Amount Paid
2 30.4
4 60.8
5 76
8 121.60
Let us take hours worked as x and Amount paid as y.
In the given functions
y = 15.4x ...(1)
y = 15.2x ...(2)
y = 16.4x ...(3)
y = 14.9x....(4)
We need to check which satisfies the relationship between x and y.
If x=2 then we need to get 30.4
So let us put x=2 in equation 1.
y=15.4×2
=30.8
Which does not matches.
Now let us check with second function.
y=15.2×2
y=30.4
It matches.
So let us check for other values.
x=4
y=15.2×4
y=60.8
x=5
y=15.2×5=76
if x=8, y=15.2×8=121.6
Hence y = 15.2x is the equation which could represent Relationship A.
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A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dollars in profit last year.
How many times greater is the profit made by the entire chain last year than by this particular store?
Drag and drop the values into the boxes to represent the answer in scientific notation.
0.145 1.45 145 10^2 10^14 10^48
____X_____times greater
8/9(54x−36)+2=−3/4(−40+16x)+90x solve for x
HELP PLEASE!!!!! HELP
What is the number in scientific notation?
Drag the answer into the box to match the number.
855,000,000,000
A: 8.055 x 10 ^-8
B: 8.5 x 10^9
C: 8.55 x 10 ^-11
D: 8.55 x 10^11
E: 8.5 x 10^7
F: 8.055 x 10^8
In timra’s math class, there are 12 boys and 15 girls. What is the ratio of boys to girls in timra’s math class
In Timra's math class, the ratio of boys to girls is 12:15, which can be simplified to 4:5. This means for every 4 boys, there are 5 girls.
Explanation:In Timra's math class, there are 12 boys and 15 girls. The ratio of boys to girls in this case would be represented by the number of boys followed by the number of girls, separated by a colon. Therefore, the ratio of boys to girls is 12:15. You can also simplify this ratio by dividing both numbers by their greatest common divisor which is 3. After doing so, you will get a simplified ratio of 4:5. This means that for every 4 boys in the class, there are 5 girls.
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To make 3.7 a whole number, multiply by ?
suppose that Y and Z are points on the number line if YZ=11 and Y lies on -9 where would Z be located
Final answer:
Point Z is located at 2 on the number line, found by adding the distance YZ=11 to the location of Y at -9.
Explanation:
If Y and Z are points on the number line, YZ=11, and Y lies on -9, to find where Z would be located, you simply add the distance between Y and Z to the point Y. Since the distance YZ=11, and Y is at -9 on the number line, you add 11 to -9 to find Z.
Therefore, the location of point Z will be:
-9 + 11 = 2
So, point Z is located at 2 on the number line.
The average weight of an almond is 1,200 milligrams. You buy 65 almonds at the price of $0.10 per gram. How much do you pay for the almonds?
Final answer:
To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.
Explanation:
To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.
Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).
Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.
Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.
Therefore, you would pay $7.80 for 65 almonds.
Jack is mixing a cleaning solution that is 12% bleach.After mixing the solution,jack has 150 ounces of cleaning solution.how many ounces of bleach did jack use?
Which expression is equal to 4−−√40−3−−√45 ?
Which equation will help you solve this problem?
You have 16 books and 2 shelves to store them.
If you split them equally between the 2 shelves, how many books will be on each shelf?
the tax on a $400 painting is $34 what should be the tax on a $700 painting
. Rotate 270 clockwise around the origin, and then translate 2 units up. (2, 10) (9, 5) (12, 2) (12, 10)
which of the following is a solution to 4cos^2x-1=0?
60°
150°
210°
330°
Answer:
Option A- 60°
Step-by-step explanation:
Given : Function - [tex]4cos^2x-1=0[/tex]
To solve the function
Step 1 - Write the function
[tex]4cos^2x-1=0[/tex]
Step 2- Add 1 both side
[tex]4cos^2x=1[/tex]
Step 3- Divide 4 both side
[tex]cos^2x=\frac{1}{4}[/tex]
Step 4 - Taking root both side
[tex]cosx=\sqrt{\frac{1}{4}}[/tex]
Step 5 - solve
[tex]cosx=\pm{\frac{1}{2}}[/tex]
Either [tex]cosx={\frac{1}{2}}[/tex] or [tex]cosx=-{\frac{1}{2}}[/tex]
When [tex]cosx={\frac{1}{2}}[/tex]
[tex]\rightarrow cosx={cos\frac{\pi}{3}}[/tex]
[tex]\rightarrow x={\frac{\pi}{3}} or 60^{\circ}[/tex]
or when [tex]cosx=-{\frac{1}{2}}[/tex]
[tex]\rightarrow cosx={cos(\pi-\frac{\pi}{3})}[/tex]
[tex]\rightarrow x={\frac{2\pi}{3}} or 120^{\circ}[/tex]
Therefore, Option A is correct solution of function is at 60°.
The solution of the given trigonometric ratio for the expression 4cos²x - 1 = 0 is equal to 60°
To find the solutions to the equation 4cos²x - 1 = 0, we first need to isolate the cosine term and then solve for x.
Let's go through the steps,
Add 1 to both sides of the equation:
4cos²x = 1
Divide both sides by 4:
cos²x = 1/4
Take the square root of both sides:
cosx = ±√(1/4)
Now, we have two cases to consider: positive and negative square roots.
Case 1,
cosx = √(1/4)
The cosine of an angle can never be negative when expressed in degrees, so we ignore the negative square root.
cosx = √(1/4) = 1/2
To find the angles for which the cosine is 1/2, we look at the unit circle or use a calculator to find the inverse cosine (arccos) values:
x = arccos(1/2)
The principal angle that satisfies this is x = 60°.
Case 2,
cosx = -√(1/4)
Again, we ignore the negative square root as the cosine is not negative in degrees.
Therefore, the only solution to the equation is:
x = 60°
Therefore, among the given options, the solution to 4cos²x - 1 = 0 is 60°.
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jon weighs 148 lbs and hopes to gain 2 lbs a week matt weighs 193 lbs and hope to lose 1 lb a week how many weeks till the weight is the same
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)
PLEASE HELP!!!
Answer:
its step 3
Step-by-step explanation:
i just took the test.
at the soda shop they sold forty eight hotdogs on monday and eighty on tuesday. how many times as many did they sell in monday than they sold on tueday?
Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxes?
Multiply. (75)(−54) Enter your answer as an improper fraction, in simplified form, in the box.
Can anyone help me with this question? If you can explain, please do so!
PLEASE HELP ME! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts amoung 5 people. How many pounds of peanuts will each person get? Express your answer in simplest form.
Use the associative property to identify which expression is equal to (10)(5x)(7).
A. (7)(5x)(10)
B. 10(5x + 7)
C. (10*5)(x*7)
D. (5x)(10)(7)
Help please, thanks in advance!
Farmer Ed has 3,500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?
Answer:
Because it is a rectangle, the area is expressed as A = xy, or length times width.
Step-by-step explanation:
Because it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y solve for x
x = 7500 - 2y substitute into the area equation
A = (7500 - 2y)y distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m2
If Farmer Ed has 3,500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, Then 7,031,250 is the largest area that can be enclosed.
What is Rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.
As it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y
solve for x
x = 7500 - 2y
substitute into the area equation
A = (7500 - 2y)y
Distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m².
Hence 7031250 is the largest area that can be enclosed.
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y+7=9/10(x+3) in standard form
The equation y + 7 = 9/10(x + 3) is converted into standard form by distributing, isolating y, eliminating fractions, and rearranging terms, resulting in the standard form 9x - 10y = 43.
The equation y + 7 = 9/10(x + 3) needs to be converted into standard form. The standard form of a linear equation is Ax + By = C where A, B, and C are integers, and A should be non-negative.
To put the given equation into standard form, we need to distribute the 9/10 across the (x + 3) and then isolate y on one side:
y + 7 = (9/10)x + (9/10)x3
Step 1: Multiply 9/10 by each term in the parentheses.
y + 7 = (9/10)x + 27/10
Step 2: Subtract 7 from both sides to isolate the y term.
y = (9/10)x + 27/10 - 70/10
y = (9/10)x - 43/10
Step 3: To get rid of the fraction, multiply the entire equation by 10.
10y = 9x - 43
Step 4: Finally, to put this into standard form, we need to move the x term to the left side of the equation.
-9x + 10y = -43
Here, our standard form would be 9x - 10y = 43, as we usually do not want a negative A term in standard form.
What is the product of −2 1/2 and −3 1/3 ? a−8 1/3 b−616 c6 1/6 d8 1/3
Answer:
d 8 1/3
Step-by-step explanation:
there are 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and same number of pizza with nothing left over. How many students could go to the party?
how many slices of pizza will each get?
how many cookies will each get?
Your local bakery charges $6.00 for one dozen of doughnuts. (One dozen is 12 doughnuts). If you purchase any number of doughnuts over one dozen, you will only have to pay $0.40 per doughnut. The total cost of any number of doughnuts is given by the expression below.
6+.40(d−12)
Which part of the expression represents the number of doughnuts purchased at the discounted rate?
A. d
B. (d−12)
C. 6
D. .40(d−12)
0.2(x+50)-6=0.4(3x+20)
( show work please)
State the slope of the line in simplest form.
7/4 - 1.76
Please help -.-
I am 5 more than 6 times 10?what number am i?