The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).
To determine if an ordered pair is a possible solution to the equation y = 3x - 2, we need to check if the x and y values satisfy the equation when substituted into it.
Let's check each option:
A: (0, 2)
Substitute x = 0 and y = 2 into the equation:
2 = 3(0) - 2
2 = -2
This is not true, so (0, 2) is not a possible solution.
B: (1, 1)
Substitute x = 1 and y = 1 into the equation:
1 = 3(1) - 2
1 = 1
This is true, so (1, 1) is a possible solution.
C: (-3, 1)
Substitute x = -3 and y = 1 into the equation:
1 = 3(-3) - 2
1 = -11
This is not true, so (-3, 1) is not a possible solution.
D: (2, 0)
Substitute x = 2 and y = 0 into the equation:
0 = 3(2) - 2
0 = 4
This is not true, so (2, 0) is not a possible solution.
The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).
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Simpson has a rectangular fish aquarium that measures 31 inches long, 13 inches wide, and is 28 inches deep. If Simpson wanted to put a protective covering on the four glass walls of the aquarium, how much covering does he need?
The dimensions of the rectangular fish aquarium are:
length = 31 inches, width = 13 inches and depth = 28 inches
If Simpson covers all the four glass walls of the aquarium.
We have to determine the covering he needs.
So, Covering required for four walls of the aquarium
= [tex]2(lh+bh)[/tex]
= [tex]2( (31 \times 28)+ (13 \times 28))[/tex]
= [tex]2( (868)+ (364))[/tex]
= [tex]2 \times 1232[/tex]
= 2464 square inches
So, Simpson needs 2464 square inches of covering to cover all the four glass walls of the aquarium.
On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?
Answer:
In other words to what the dude above me said, the answer is "a''
Step-by-step explanation:
What is the least degree of a polynomial equation that has 3i as a root with a multiplicity of 3?
is 6km ( <, >, or =) 660m?
Batteries for an MP3 player usually cost $8.00, but they are on sale for 40% off. What is the discount amount? What is the sale price for these batteries?
Answer:
its b!
Step-by-step explanation:
discount is $8 = 40/100 to find that discout
is $3.20
sale price : $8.00 - $3.20 which is $4.80!
Your welcome! :D
Compare the properties of the diagonals of a kite with those of a square.
Diagonals of square are congruent while diagonals of kite are not congruent to each other.
What is diagonal?
" Diagonal is a straight line segment which connects the opposite vertices of any polygon or polyhedron."
Compare the properties of diagonal of square and kite
1) Diagonals of square are congruent while diagonals of kite are not of same length.
2) Diagonals of square bisect each other while in kite longer diagonals bisects the smaller one.
3) Diagonals of square and kite are perpendicular to each other.
Hence, diagonals of square are congruent while diagonals of kite are not congruent to each other.
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∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices.
The measure of the longest side of ∆ABC is ______ units. ∆ABC is_____ triangle.
If ∆ABD is formed with the point D(1, 2) as its third vertex, then ∆ABD is _____ triangle. The length of side AD is ______ units.
1.
B.29^(1/2) .
C.34^(1/2)
D.6
2.
A.equlaterial
B.isoclese
C.right
D.scalene
3.
A.equilateral
B.right isosceles
C.right scalene
D.non-right isosceles
E.non-right scalene
4.
A.3
B.5
C.8
D.10
The measure of the longest side of ∆ABC is 6 units. ∆ABC is a right scalene triangle. ∆ABD is also a right scalene triangle and the length of side AD is 5 units.
The measure of the longest side of ∆ABC can be found using the distance formula.
We calculate the distance between points A(1, 7) and B(-2, 2), between points B(-2, 2) and C(4, 2), and between points A(1, 7) and C(4, 2).
The longest distance is the measure of the longest side.
Using the distance formula, we find that the longest side is 6 units long.
∆ABC is a right scalene triangle.
This is because the lengths of its sides are all different and it has a right angle at point C, where the x-coordinate doesn't change but the y-coordinate does.
∆ABD is also a right scalene triangle.
The length of side AD can be found using the distance formula between points A(1, 7) and D(1, 2).
The length of side AD is 5 units.
find the LA, SA, and volume of a triangular prism with a hypotenuse of 12m, short leg of 5m, and height of prism of 5m
To find the lateral area, surface area, and volume of a triangular prism, use the Pythagorean theorem to find the missing leg, then calculate the triangular base area, lateral area, and volume, and finally add the triangular base areas to the lateral area for the surface area.
Explanation:Finding the Lateral Area, Surface Area, and Volume of a Triangular Prism
To find the lateral area (LA), surface area (SA), and volume of a triangular prism with a given hypotenuse, short leg, and height of the prism, we will follow these steps:
Determine the length of the other leg of the right-angled triangle using the Pythagorean theorem (since the triangular face is a right triangle given the hypotenuse and one leg).
Calculate the area of the triangular base using the formula for the area of a triangle (1/2 × base × height).
Compute the lateral area by multiplying the perimeter of the triangular base by the height of the prism.
Add the areas of the two triangular bases to the lateral area to get the surface area.
Find the volume by multiplying the area of the triangular base by the height of the prism.
Since the short leg is 5 m and the hypotenuse is 12 m, the other leg (long leg) can be found as √(12² - 5²) = √(144 - 25) = √119 m. The area of the triangular base (A) is then 1/2 × 5 m × √119 m. The perimeter (P) of the triangular base is 5 m + 12 m + √119 m. The lateral area is P × height of prism (5 m), and the surface area is LA + 2 × A. Lastly, the volume is A × height of prism (5 m).
PLEASE HELP ME ON THIS AND SHOW UR WORK
THX
Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7. The stock made $6,450 on top of the initial capital. If the payoff is done in the same ratio, how much does Gail get?
"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"
The amount that Gail will get is $5862.5.
What is Ratio?A ratio is a comparison of two quantities produced by dividing the first by the second. If a and b are two values of the same kind and with the same units, and b is not equal to zero, then the quotient a/b is known as the ratio between a and b. The colon sign is used to denote ratios (:). This means that the ratio a/b has no unit and can be expressed as a: b.
Given:
Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7.
The stock made $6,450 on top of the initial capital.
Total they made
= 3600+ 6450
= $10, 050
The pay off Jim get
= 10, 050 x 5/12
= 4187.5
and, the pay off Gail get
= 10, 050 x 7/12
= $5862.5
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One inch on a map equals 300 miles. it is 1/4¨ from el paso texas, to bismarck north dakota. how many miles would it be?
The value of 1/4 inch in miles from the given map is; 75 miles
How do you convert the measurement?We are given that;
1 inch on the map = 300 miles
Now, we want to find what 1/4 inch will give us in miles from the given conversion. Thus;
1/4 inch in miles = 1/4 * 300
⇒ 75 miles
Thus, we will conclude that 1/4 inch will yield 75 miles on the map.
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Given the function f(x) = 0.5(3)x, what is the value of f−1(7)?
This question has been asked before but the answer is unclear to me.
describe the relationship of input and output values for composite functions?
Keisha is solving the equation 7^x=9.
Write an equation that shows the first step she should take.
(logarithms)
Body temperatures are normally distributed with a mean of 98.6° f and a standard deviation of 0.19° f. what temperature represents the 95th percentile?
To find the temperature that represents the 95th percentile, calculate the z-score using the given formula and substitute the values in the equation. Using a standard normal distribution table, the temperature is approximately 98.93°F.
Explanation:To find the temperature that represents the 95th percentile, we need to calculate the z-score corresponding to the 95th percentile.
The z-score can be calculated using the formula: z = (x - μ) / σ, where x is the temperature, μ is the mean, and σ is the standard deviation. In this case, μ = 98.6°F and σ = 0.19°F.
By looking up the z-score in the standard normal distribution table, we can find the corresponding temperature.
Using a standard normal distribution table, we find that the z-score for the 95th percentile is approximately 1.645. Substituting the values into the formula, we get: 1.645 = (x - 98.6) / 0.19.
Solving for x, we find x ≈ 98.6 + (1.645 * 0.19) ≈ 98.9295°F.
Therefore, the temperature that represents the 95th percentile is approximately 98.93°F.
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white? 13 23 34 1516
Answer: The answer is 2/3.
Write an equation to represent, "sum of eight and a number is one hundred". What is the number?
Help will mark as brainliest
A. -6
B. 6
C. 12
D. -12
is a hope i helped you wlcome
What is the value of x?
20
40
45
85
Answer:
the answer i 40 hope this helps :)
Step-by-step explanation:
Help Please!!!
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when full?
I know the answer is 81pi cubic ft
but not sure what formula to use to get that answer. It's not Volume of a cylinder.,
Answer:
You would need to use the formula for the volume of cylinder in order to get this. That's how I got to the answer of 81 pi. Maybe you used a different/wrong formula but you do need the formula for the volume of a cylinder.
Help will medal!!!!
Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and three inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
3 feet
6 feet
8 feet
10 feet
Answer:
Option C is the correct answer.
Step-by-step explanation:
Volume = Length x Breadth x Height
Length = 10 feet = 3.33 yard
Height = 3 inches = 0.25 feet = 0.0833 yard
The price of concrete is $98 per cubic yard and total cost is $72.59.
[tex]\texttt{Total concrete needed = }\frac{72.59}{98}=0.74yard^3[/tex]
We have
Volume = Length x Breadth x Height = 0.74
3.33 x Width x 0.0833 = 0.74
Width = 2.67 yards = 2.67 x 3 = 8 feet
Option C is the correct answer.
Given cosx=1213 and sinx=513 .
What is ratio for tanx ?
leave answer as a fraction in simplest form
Remember to show all of you work
By using the tangent formula, we will see that:
tan(x) = 5/12.
How to get the tangent of x?You just need to remember that we can write the tangent as:
tan(x) = sin(x)/cos(x).
In this case, we know that:
sin(x) = 5/13cos(x) = 12/13We can just replace these two in the tangent equation, we will get:
tan(x) = (5/13)/(12/13) = (5/13)*(13/12) = 5/12
tan(x) = 5/12
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Professionals typically order 10% more than calculated. If w represents the minimum number of whole boxes needed, what expression represents the number of boxes they would order?
Describe the relationship among the lengths of the segments formed by the secant, , and the tangent segment, .You may use words and/or an equation.
Suppose in. and in. Is it possible to find the length of ? If so, show how to find the length. If not, explain why not.
We can write the answers as -
TU² = TR x TSTU = 6 What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
3√x + 3 = 15
{ 1 } -
When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment. We can write -
TU² = TR x TS
{ 2 } -
We can write -
TU² = TR x TS
TU² = 9 x 4
TU² = 36
TU² = ± 6
TU = 6 {non - negative}
Therefore, we can write the answers as -
TU² = TR x TSTU = 6To solve more questions on algebraic expression, visit the link below -
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Choose the graph that matches the following system of equations:
Explain to me why I got this wrong!!! Please
8x + 5y = −5
7x − 3y = 3 (6 points)
please help me please
what is the value of x that equals 14 y=310-25(x)
Suzy likes to mix and match her 3 necklaces, 2 bracelets, and 6 hats. The colors are listed in the table. On Monday, she randomly picks a bracelet, a necklace, and a hat. What is the probability of Suzy choosing a red bracelet and silver hat? NECKLACE COLORS: RED ,GREEN ,GOLD BRACELET COLORS: RED AND BLACK HAT COLORS: SILVER, YELLOW, GREEN, GOLD, BLACK, AND WHITE A. one-half B. one-fourth C. start fraction 1 over 6 end fraction D. start fraction 1 over 12 end fraction
Answer:
The probability of Suzy choosing a red bracelet and silver hat is 1/12
Step-by-step explanation:
Each one of the red, green, and gold necklace have a probability of 1/3.
Each one of the red and black bracelet have a probability of 1/2.
Each one of the silver, yellow, green, gold, black, and white hat have a probability of 1/6.
Hence, the probability of Suzy choosing a red bracelet and silver hat becomes:
[tex]\frac{1}{2}*\frac{1}{6} =\frac{1}{12}[/tex]
So, the answer is 1/12.
Please help
According to Cavalieri's principle,
A) the volume of the sphere is equal to the volume of the cones.
B) the volume of the sphere is equal to the volume of the cylinder.
C) the volume of the sphere is equal to two times the volume of the cones.
D) the volume of the sphere is equal to the volume of the solid between the cones and the cylinder.
Answer:
Step-by-step explanation:
The answer is d.
Answer:
d
Step-by-step explanation:
What percent of 82.5 is 21.12
The 25.6 percentage of the number 82.5 is 21.12
Given data:
To find the percentage of 21.12 in relation to 82.5, the proportion is simplified as:
21.12 is to 82.5 as x is to 100.
This can be expressed as:
21.12/82.5 = x/100
On solving for x by cross multiplying:
21.12 * 100 = 82.5 * x
2112 = 82.5x
To isolate x, divide both sides by 82.5:
2112/82.5 = x
On simplifying:
25.6 ≈ x
Hence, 21.12 is approximately 25.6 percent of 82.5.
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