Answer:
y = 5x
Step-by-step explanation:
The standard equation for directly proportional equations is y = kx. We can see that y is directionally proportional to x when y = 30 and x = 6 and we need to work out an equation connecting x and y.
→ First step is to substitute in the values
y = k × x
30 = k × 6
→ Divide both sides by 6 to isolate k and find the value of k
5 = k
k = 5
→ Now we substitute k = 5 back into y = kx
y = 5x
Answer:
y=5x
Step-by-step explanation:
The answer is y=5x hope you have a nice day!
Lera brought a watermelon that weighed b kg to a party. Nick brought a box of candies. How much is the weight of the box of candies greater than the weight of the watermelon if the weight of the watermelon is 2/5 of the weight of the box of candies?
IT ISN'T 2.5 OR 1.5
Answer:
The weight of the box of candies is 1.5b kg greater than the weight of the watermelon.
Step-by-step explanation:
Let's begin by listing out the variables we were given:
weight of the watermelon = b (kg),
weight of watermelon = (2/5) * weight of candies
weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4
weight of candies = 2.5b (kg)
How much is the weight of the box of candies greater than the weight of the watermelon is given by:
weight of the box of candies - weight of watermelon= 2.5b - b = 1.5b (kg)
Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg)
The converse of the Pythagorean theorem says that if the side lengths of a triangle satisfy the equation
a
2
+
b
2
=
c
2
a2+b2=c2
, then the triangle is a right triangle. Which triangle is a right triangle?
Clear Check
Answer:
photo please!
Step-by-step explanation:
45% of the 6th graders at Dutchtown Middle went to the Valentine's Dance. If 126 students went to the dance, how many 6th grade students are there at Dutchtown Middle?
Answer: 280
To find the total number of 6th grade students at Dutchtown Middle, we can set up a proportion based on the information given:
- 45% of the 6th graders went to the Valentine's Dance.
- 126 students attended the dance.
Let us denote the total number of 6th grade students as N.
Given that 45% of the 6th graders is equal to 126 students, we can write the equation as:
(45/100)N = 126
[tex]\[ 0.45N = 126 \][/tex]
[tex]\[ N = \frac{126}{0.45} \][/tex]
[tex]\[ N = \frac{126}{0.45} \]\[ N = 280 \][/tex]
Therefore, the total number of 6th grade students at Dutchtown Middle is 280.
The difference of the square of a number and 18 is equal to 3 times that number. Find
the positive solution.
Answer:
6.
Step-by-step explanation:
To solve this, you can set up an equation as such:
x²-18= 3x
Now, rearrange this to make it an equation in standard form:
x²-3x-18=0.
Simply turn this equation into factored form:
(x-6)(x+3)= 0.
The only positive solution here is x=6.
The problem is about a quadratic equation where a number's square, minus 18 equals 3 times the number. This equation is solved by factoring to get two potential solutions, -3 and 6. The positive solution is 6.
Explanation:The subject matter of this question is quadratic equations in Mathematics. We are to find a number where the difference between the square of the number and 18 is equal to 3 times the number.
We first turn this into a quadratic equation:x2 - 3x - 18 = 0. Then we solve using a technique such as factoring which results to (x - 6)(x + 3) = 0. Giving the solutions x = 6 and x = -3.
Since you asked for the positive solution, x = 6 is the correct answer.
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Use the interactive tool to plot several points in each quadrant of the coordinate plane. What can you say about all the y-values in quadrant II?
Answer:
All positive. :)
Step-by-step explanation:
took it give me brainelist if it's right ty
Answer:
THE ANSWER IS A
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP
LOTS OF POINTS
Find the area of the shaded segment of the circle.
Answer:
Around 55.9
Step-by-step explanation:
The first step is to find the area of segment of the circle. Since the segment is a 90 degree angle and a total circle is 360, it is a quarter of the area of a circle. Therefore, you can find its area with the formula [tex]\frac{1}{4}\pi r^2=49\pi[/tex]. Now, you can find the area of the triangle inside. Since all of the radii in a circle are the same length, the triangle has two sides of length 14. Using the triangle area formula, you get an area of 14*14/2=98 square centimeters. [tex]49\pi-98\approx 55.9[/tex] square centimeters. Hope this helps!
Coby needs to know the area and perimeter of his farm property. The length of his property is 1 6 mile and the width is 2 9 mile. What is the area? The area is sq mi. What is the perimeter? The perimeter is mi.
Answer:
P= 7/9 miles
A= (7/18) miles²
Step-by-step explanation:
Length 'l' = (1/6) mile
Width 'w'= (2/9) mile
Perimeter 'P' is given by:
'P' = 2l + 2w => 2(1/6) + 2(2/9)
P= 7/9 miles
Area 'A' is given by:
A= l x w =(1/6) x (2/9) = (7/18) miles²
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1
Given the factors of function f as (x-6) and (x-1), the zeros of the function are 6 and 1.
What are zeros of a function f?In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.
The factors of the function f are (x-6) and (x-1).
The zeros of function f are 1 and 6.
x - 6 = 0 ⇒ x = 6
x - 1 = 0 ⇒ x = 1
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Final answer:
The zeros of function f, given the factors (x - 6) and (x - 1), are 6 and 1. Hence, the correct answer to the student's question is option C: 1 and 6.
Explanation:
The factors of function f are given as (x − 6) and (x − 1). To find the zeros of function f, we need to set each factor equal to zero and solve for x. This gives us the equations:
x - 6 = 0 → x = 6
x - 1 = 0 → x = 1
Therefore, the zeros of function f are 6 and 1. Hence, the correct answer is option C: 1 and 6.
Glenn and Maggie own a regional chain of juice bars and are looking to expand in the coming year. They already have fifty shops, but they know they will need a loan to reach their goal of one hundred twenty five shops. Which type of banking institution is most suitable for Glenn and Maggie’s business?
Answer: A commercial bank.
if i could get brainliest that would be great
Step-by-step explanation:
Commercial banks are financial institutions whose functions, among many, are: offering banking services to individuals, groups and companies, to make profit. One of the roles performed by these types of financial institutions is to credit loans to individuals, small businesses, and other groups, and as such, they are the first line to which a small business, such as the one controlled by Glenn and Maggie, would go to, to request a loan to be able to open up their other branches. This bank would give them the loan and allow them to make profit, without having any ties to the banking institution, just as long as they return the investment given to them.
A "commercial bank" is most suitable for Glenn and Maggie’s business. A further explanation is below.
A financial organization generally includes commercials, provides trying to check account management, originates different loans, as well as provides entrepreneurs and business companies with basic investment instruments such as certifications of term deposit funds.Its mission should be to provide financial services around the world as well as businesses while also guaranteeing economic stability.
Thus the above answer is correct.
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what’s the answer to this?v
Your friend adds (2.5*10^9) and (5.3*10^8) . Is your friend correct?
Answer:
the correct answer would be 3030000000
Step-by-step explanation:
2500000000+530000000=3030000000
What is the area of this polygon?
42.5 units²
41.5 units²
35.5 units²
29.5 units²
Step-by-step explanation:
where is the polygon??
No need to worry, I know the original question that was being asked.
Here is the answer to the problem:
Maria bought a swimming pool with a circumference of 24 feet. She wants to buy a cover for her pool. Maria will need to buy _______ square foot pool cover. Use 3.14 for pi.
A. 7.64
B. 11.99
C. 45.82
D. 183.28
Answer:
C. 45.82
Step-by-step explanation:
We know the circumference is given by
C = 2 * pi *r
24 = 2 * 3.14 * r
24 = 6.28r
Divide each side by 6.28
24/6.28 = r
r = 3.821656051
We want to find the area
A = pi r^2
A =3.14 * (3.821656051) ^2
=45.85987261
What is another term for y value
Another term for y value is range.
What is domain and range of function?The domain of a function is a set of values for which the function is defined.
The range of the function is the set of all values that a function takes.
Now in the given question, for another term of y-
Reciprocal- reciprocal means opposite.
Function- function is when the y values do not repeat in a pattern.
Range- Range is another term for a y value.
Independent Value - an independent value is X.
Therefore,another term for a y value is Range.
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The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has a base that measures 4 units and a height of 3 units. If the length of each prism is 3.61 units, which statement is true?
Check the attached picture for the diagram attached to the question
Answer: VOLUME A = VOLUME B
Step-by-step explanation:
The volume of a prism = cross-sectional area × length
PRISM A:
Rectangular prism
Cross-section, as given above, equals 3units by 2units
Therefore, the Area of the cross-section equals
Area of rectangle= Length × Width
Area of rectangle( 3×2) = 6
Length = 3.61
The volume is 6 × 3.61 = 21.66 unit^3
PRISM B:
Triangular prism:
Cross-section, as given above, equals 4units by 3units
Therefore, the Area of the cross-section equals
Area of triangle = (1/2) × base × height
Area of triangle 0.5 × 4 × 3= 6
Length = 3.61
The volume is 6 × 3.61 = 21.66unit^3
Answer: D) Volume A = Volume B
Consider the solid formed by rotating a 2 x 3 rectangle with vertices (2,0), (4,0), (2,3), and (4,3) about the y-axis select all the statements that are true about the resulting figure.
It will be a rectangle in the 3rd quadrant
It will be a solid cylinder with a radius of 2
It will be a hollow cylinder, the central core has a radius of 2
It will have a surface area equal to 56pi
It will have a surface area equal to 48pi
Answer: It will be a hollow cylinder, the central core has a radius of 2 and It will have a surface area equal to 48pi
Step-by-step explanation:
Just did it on algebra nation
how to find function of x
Answer:
By using function notation
This question os incomplete
Find g(x), where g(x) is the translation 7 units up of f(x) = -2x - 9.
Write your answer in the form mx + b, where m and b are integers.
Answer:
g(x) = -2x - 2
Step-by-step explanation:
When translating up, you are changing the y-intercept, b, or in this case, -9.
To solve this, simply add 7 to -9, since you are moving upwards. You will get -2.
Hope this helps!
Which expression can be used to determine the length of segment AB?
Answer:
see explanation
Step-by-step explanation:
Calculate the length using the distance formula
AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)
AB = [tex]\sqrt{(-2-4)^2+(1-3)^2}[/tex]
= [tex]\sqrt{(-6)^2+(-2)^2}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]\sqrt{4(10)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex] = 2[tex]\sqrt{10}[/tex] ← exact length
someone please help!! i’ll mark you brainliest if answer is CORRECT.
4. A ramp is being constructed with wood and then filled with concrete. How many cubic feet of concrete will be needed to complete the ramp?
Answer:2.5
Step-by-step explanation:
A pair of jeans costs $34.00. You have a coupon for 30% off the regular price. What is the new price of the jeans after you use your coupon?(Hint. This is a two step problem. You will have to multiply and subtract) *
To find the new price of the jeans after using a 30% off coupon, multiply the original price by the discount percentage and subtract that amount from the original price.
Explanation:To find the new price of the jeans after using the 30% off coupon, you need to multiply the original price by the discount percentage and subtract that amount from the original price. Here's how:
Calculate the discount amount by multiplying the original price ($34.00) by the discount percentage (30% or 0.30). The discount amount is $34.00 * 0.30 = $10.20.Subtract the discount amount from the original price to find the new price of the jeans. $34.00 - $10.20 = $23.80.Therefore, the new price of the jeans after using the coupon is $23.80.
The Pyramid Arena in Memphis, Tennessee is about 98 meters tall
and has a square base with a side length of about 180 meters. A prism-shaped
building has the same square base as the Pyramid Arena. What is the height of
the building if it has the same volume as the Pyramid Arena?
Answer:
Height of the building is 32.67 meters.
Step-by-step explanation:
Volume of a Pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]
Side of the square base of the Memphis pyramid = 180 m
Height of the pyramid = 98 meters
Volume = [tex][\frac{1}{3}(180)^2](98)[/tex]
= 1058400 cubic meters
Another building having the same base and volume, is in the shape of a prism.
Therefore, Volume of the pyramid = volume of the building(prism) = 1058400 cubic meters
Volume of the prism = (Area of the base) × height
1058400 = (180)²h
h = [tex]\frac{1058400}{180\times 180}[/tex]
h = 32.67 meters
Therefore, height of the building in the prism shape is 32.67 meters.
Which equation demonstrates the multiplicative identity property?
t
O (-3+51)+(--3+5i
O (-3+5)(1)--3+51
O (-3+5)(-3+5)) --16-301
0 (-3+5)(3-5) - 16+301
Answer:
Long story short its C)
Step-by-step explanation:
Option B is correct, (-3 + 5i) (1) = -3 + 5i equation demonstrates the multiplicative identity property
What is Number system?A number system is defined as a system of writing to express numbers.
The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply :
"The product of any number and one is that number"
So The Multiplicative Identity is 1 can be stated in the formula:
a×1=1×a=a
(-3 + 5i) (1) = -3 + 5i
This is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true
Hence, option B is correct, (-3 + 5i) (1) = -3 + 5i equation demonstrates the multiplicative identity property
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If the number of bacteria in a colony doubles every 85 hours and there is currently a
population of 500 bacteria, what will the population be 170 hours from now?
bacteria
Answer:
2000 bacteria
Step-by-step explanation:
The number of bacteria double 2 times because 170/85=2. 500 times 2 is 1000 and 1000 times 2 is 2000.
Please please help me with this question is hard and i will give you a Brainiest and 12 points
Answer:
x=0
Step-by-step explanation:
10(x-2) = -20
10(-2) = -20
A positive multiplied by a negative is a negative.
Hope this helps!
-MoCKEry
Answer:
0
Step-by-step explanation:
10(x−2)=−20
10x -20=-20
10x=0
x=0
What is the area of the trapezoid?
Answer:
24 units ²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
Counting the squares in the diagram gives
h = 4, a = 4, b = 8, thus
A = [tex]\frac{1}{2}[/tex] × 4 × (4 + 8) = 2 × 12 = 24 units²
Hey! I need help ,
Find the cube root of -27/125
= Cube root of -27 = -3 (because the factors of 27 = 3×3×3)
= Cube root of 125 = 5 ( because the factors of 125 = 5×5×5)
Thus, cube root of -27/125 = -3/5
Answer:
-3/5
Step-by-step explanation:
hello :
- 27 =(-3)^3 and 125= 5^3
-27/125 = (-3)^3 / 5^3 = (-3/5)^3
so : ∛((-3/5)^3 )= -3/5
a(b+c)=a(c+b)
which property explain why these two expressions are equal?
a) Identity property
b) Symmetric Property
c) associative Property
d) commutative property
A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on
sale. What was the regular price of the sweater?
$40
$80
550
$60
Answer:
$50
Step-by-step explanation:
Sale on sweater = 40% .
Money saved = $20 .
Let original price be x then ,
=> 40% of x = $20
=> 40x/100 = $20
=> x = $20 *100/40
=> x = $ 50