Shalu is 16 years old.
The equation can be defined as a mathematical term that refers to a situation in which several factors must be considered. It is defined as the state of being equal and is frequently represented as a math expression with equal numbers on either side.
Two expressions joined by an equal sign form a mathematical statement known as an equation.
Shalu's brother was born 2 years before Shalu.
Shalu's sister was born 4 years after Shalu.
And the sum of Shalu's brother and sister's age is 30 years.
Let x be the age of Shalu.
As Shalu's brother was born 2 years before her = x + 2
As Shalu's sister was born 4 years after her = x - 4.
Therefore,
x + 2 + x - 4 = 30
2x - 2 = 30
Adding 2 on each side of the equation,
2x -2 + 2 = 30 + 2
2x = 32
Dividing each side of the equation by 2.
2x / 2 = 32 / 2
x = 16
Therefore, Shalu is 16 years old.
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Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.
Answer: 39.13 for 18 plants
Step-by-step explanation:
120/55.20= 2.17 dollars per plant
18*2.17=39.13
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answer:
Step-by-step explanation:
(-5)(-3) = 15
(-6)(-8)= 48
(48)(15)= 720
the sign is positive
two negatives = a positive
four negatives = a positive
Answer:
Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive
Step-by-step explanation:
What is the value of x in the diagram below? 2 right triangles are stacked. The bottom triangle has a side length of 9 units and an adjacent angle measure of 30 degrees. The top triangle has a hypotenuse length of x and an angle measure of 45 degrees. StartFraction 18 Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 2 EndRoot Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 3 EndRoot Over StartRoot 2 EndRoot EndFraction 18 StartRoot 2 EndRoot Mark this and return
Answer:
18 sqrt2/ sqrt3
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Trust me edge 2022
can someone help me on this
Answer: ur answer is 4
Step-by-step explanation:
Find the midpoint of and label it D. Find the midpoint of and label it E. Record the coordinates of points D and E. When you’re through, draw .
Answer:
The coordinates of the midpoints are D(1.5, 2.5) and E(3.5, 2.5).
Step-by-step explanation:
Rudolph can fly 5 miles in 12 seconds. At
that rate, how many miles can he fly per
minute?
Answer:
25 mpm
Step-by-step explanation:
60 devided by 12 = 5
5 times 5 = 25 mpm
A silo contains 20 pounds of corn per foot in height. Looking at the model below, about what is the maximum amount of corn the actual silo could hold?
A. 60 pounds
B. 300 pounds
C. 900 pounds
D. 2000 pounds
Answer: its actually 900
Step-by-step explanation:
The elves ate all 327 cookies in a 1/2 hour. What is the rate in cookies per hour?
For
every dog
pet store
there are 3 cats at the pet store. What's the ratio?
Answer:
1/3?
Step-by-step explanation:
what is the value of the expression -36 + 7
Answer:
-29
Step-by-step explanation:
subtract the negative from positve
Contains (1, −3) and has the same stretch factor as
f(x) = 3x2.
Vertex has x-coordinate of −1.
The obtained quadratic function has the same stretch factor as the given function and contains the given point is y = 3x² + 6x - 12
What is defined as the quadratic function?A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function.
Because a quadratic function is indeed a parabolic curve, we use the standard parabola equation.
y = a(x - h)² + k
where a = stretch factor,
h = x-coordinate of vertex and
k = y-coordinate of vertex.
The quadratic function incorporates the point (1, -3) and has the vertex x-coordinate at x = -1. h = -1 is the answer.
It also has the stretch factor of f(x) = 3x². So, a = 3.
Thus, y = a(x - h)² + k
y = 3(x - (-1))² + k
y = 3(x + 1)² + k
Now, because the quadratic function proceeds through (1, -3), we have
y = 3(x + 1)² + k
-3 = 3(1 + 1)² + k
-3 = 3(2)² + k
-3 = 3(4) + k
-3 = 12 + k
k = -3 - 12
k = -15
Similarly, find the value for y.
y = 3(x + 1)² + k
y = 3(x + 1)² - 15
y = 3(x² + 2x + 1) - 15
y = 3x² + 6x + 3 - 15
y = 3x² + 6x - 12
Therefore, the equation of the quadratic function that contains the given point and has the same stretch factor as the given function is y = 3x² + 6x - 12.
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The complete question is-
Write the equation of the quadratic function that contains the given point and has the same stretch factor as the given function.
Contains (1, −3) and has the same stretch factor as
f(x) = 3x².
Vertex has x-coordinate of −1.
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?
A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules
Answer:
C. 303,000 Joules
Step-by-step explanation:
1. use abcos(theta)
a=50
b=7000
theta=30 degrees
2. (50)(7000)cos(30)=303,000
Answer:
C: 303,000 Joules
Step-by-step explanation:
Edge 2020
what is equivalent to 3 and 1/4 minus negative 5/8
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
Suppose there are 19 students in the class a teacher at 122 pencils and passes them out to the class estimate the number of pencils in each student will receive
Madison bought an empty lot for $2000 and later sold it for a 25% profit. how much did she sell it for?
Find the volume of a right circular cone that has a height of 16.8 in and a base with a
radius of 4.7 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Volume of right circular cone is 388.43 in³
Step-by-step explanation:
Height of circular cone = 16.8 in
Radius of circular cone = 4.7 in
We need to find Volume of right circular cone
The formula used for calculating volume of a right circular cone is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14\times (4.7)^2 \times \frac{16.8}{3}\\Volume=3.14\times 22.09 \times 5.6\\Volume= 388.43 \:in^3[/tex]
So, Volume of right circular cone is 388.43 in³
I need a little more help :( 2/3 = ?/9 3/5 = ?/20 2/10 = ?/20 1/3 = ?/6 4/6 = ?/12
Answer:
2/3 = 6/9
3/5 = 12/20
2/10 = 4/20
1/3 = 2/6
4/6 = 8/12
If AC = 2, CD = 6, and CE = 3, what is BC?
Answer:
Hello,
Statement: Reasons:
BC/CD = AC/CE 1. Given
∠BCA = ∠ECD 2. Vertical ∠'s =
△ACB ~ △ECD 3. SAS
Hope it helps!
Step-by-step explanation:
Answer:
i believe the answer would be number 4
you run 3 miles in 19.5 minutes. your friend runs 2 miles in 13.5 minutes. who is faster you or your friend? how many minutes sooner will the faster runner will finish a mile race?
Answer:
You are faster. You are 0.25 min faster (15 seconds faster)
Step-by-step explanation:
you 19.5/3 =6.5 minutes per 1 mile
The friend 13.5/2 = 6.75 minutes per 1 mile
you run 1 mile in 6.5 minutes
the friend runs 1 mile in 6.75 min
How oils the following triangle be classified ?
A. Isosceles acute
B. Scalene acute
C. Scalene Antier
D.isosceles obtuse
jacob, stephen, and jermaine are hiking up half dome mountain in Yosemite National Park. Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m. Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m. Jermaine is 1/4 of the way between Steven and Jacob. How far has jermaine hiked and what is his elevation?
The distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
How to illustrate the information?From the information, Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m whole on the other hand, Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m.
Therefore, since Jermaine is 1/4 of the way between Steven and Jacob. This will be:
= 1/4(5.6 + 9.8)
= 1/4 × 15.4
= 3.85km
The elevation will be:
= 1/4(1920 + 2495)
= 1/4 × 4415
= 1103.75 m
Therefore, the distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
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A life insurance company is offering Anna a $100,000 life insurance policy for
$300. The insurance actuary has calculated that the probability of death within
a year of a 30 year old woman is 0.00064. Determine the expected value of the
insurance policy to Anna.
10 minutes to complete helpppp!!!!
Answer:
that will be the incenter
Step-by-step explanation:
In right triangle ABC, m angle B ne m angle C Let sin B = r rand cos B = What is sin C- cos C?
A. r+s
B.r-s
C.r/s
D.s-r
Help pls
Which expression is equivalent to 6x - 5 - 2x + 1?
Answer: 4x-4 is the correct answer
Step-by-step explanation that is the correct answer
Please help , Simplify 3 to the power of 8 divided by 3 to the power of 2
The expression 3⁸ / 3² is equal to 3⁶.
When dividing two numbers with the same base, we subtract the exponents. In this case, we have:
3⁸ / 3²
To simplify, we subtract the exponent of 3² from the exponent of 3⁸:
3⁽⁸⁻²⁾
3⁶
Therefore, 3⁸ / 3² is equal to 3⁶.
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Mr. Garrison sold 17 pounds of oranges at the flea market. The oranges
sold for $1.78 per pound.
How much did Mr. Garrison receive for the oranges he sold?
( 1pound = $1.75 )
Which linear inequality is graphed with y> -+-2 to create
the given solution set?
y>x+1
y
y>x-1
y
Answer:
c
Step-by-step explanation:
Which number line correctly shows 0.8 + 0.3? Help
Answer:
search it up please :)
Step-by-step explanation:
factorize 2xy - 8x + 5y -20
The factors for 2xy - 8x + 5y -20 is ( 2x + 5 ) ( y - 4 ).
Given 2xy - 8x + 5y -20
By writing like terms on one side
2xy - 8x + 5y - 20
By taking common terms outside we get
2x ( y - 4) + 5 ( y - 4)
By taking common terms we get
( 2x + 5 ) ( y - 4 )
Therefore the factors for 2xy - 8x + 5y -20 is ( 2x + 5 ) ( y - 4 )..
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