The solution to the system of equations is d = 300m, which means that after Jada starts, both Hasina and Jada will be 300m away from home.
The solution to the system of equations is d = 300m. This means that after Jada starts, both Hasina and Jada will be 300m away from home. This is because the equation for Hasina states that she is 300m + 1500m away from home. Since Jada is starting second, she will only be traveling 300m from home. Therefore, the solution of the system of equations is d = 300m.
To solve the system of equations, we can use substitution. First, we can substitute 300m for d in Jada's equation. This gives us 300m = 300m, which is a true statement. We can then substitute this value for d in Hasina's equation, which gives us 300m + 1500m = 300m. To solve for m, we can subtract 1500m from both sides, giving us 0 = -1500m. To isolate m on one side, we can divide both sides by -1500, giving us -1 = m. This means that after Jada starts, both Hasina and Jada are 300m away from home.
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There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{(-2)^3=\bf -8}[/tex]
[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{-8(9)= \bf -72}[/tex]
[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]
[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]
[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]
[tex]\mathsf{-2^2=\bf 4}[/tex]
[tex]\mathsf{= -12+4(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= -12+4(9)}[/tex]
[tex]\mathsf{4(9)= \bf 36}[/tex]
[tex]\mathsf{-12 + 36 = \bf 24}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The ratio of seventh graders to sixth graders on a chess team is 5 to 3 . What is the ratio of seventh graders to total chess players ? Enter the correct answer in the box
Answer: 5 : 8
Step-by-step explanation:
The ratio of seventh graders to sixth grader on the team is 5 : 3.
Assuming that only seventh and sixth graders are in the team, the total number of chess players at the most simple basis is:
= Number of seventh grade students in ratio + Number of sixth grade students in ratio
= 5 + 3
= 8 students
There are 5 seventh graders so the ratio will be:
= 5 : 8
Note: The chess team will most likely have more than 8 members but the ratio of seventh graders to total chess players will still be 5 : 8.
What is the midpoint of the segment with endpoint(1,9)and(-3,5)
Answer:
(-1 , 7)
Step-by-step explanation:
To find the midpoint, the equation used is:-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
Here, the values are:-
x1 = 1
x2 = -3
y1 = 9
y2 = 5
Substituting these in the equation, we get:-
[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]
[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]
(-1, 7)
What is the value of x????
In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.
x=6
Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.
Answer:
it would be (9/n )+ 2 = 8
Step-by-step explanation:
I hope this is right :)))
What is the period of the function?
1.π
2.2π
3. 3π
4. 4π
Answer:
2pi
Step-by-step explanation:
As x begins at zero and ends at 2pi, the graph repeats itself. Thus, the period is 2pi.
Answer: 2π
Step-by-step explanation:
just took the test
please help!!
Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.
Answer:
Exterior = 22.5 degrees
Interior = 157.5 degrees
Step-by-step explanation:
Exterior angles = 360/16 = 22.5
Interior Angles = 180 - 22.5 = 157.5
An aquarium holds 11.35 cubic feet of water, and is 2.8 feet long and 1.5 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
the tank is 3 feet deep
Step-by-step explanation:
I got 15.65 then rounded up to 3
area = ___ square units
Answer:
15 units^2
Step-by-step explanation:
Formula for area:
length × width or l × w
Count the length of BA or CD (they should equal the same):
Length (l) = 5 units
Count the width of AD or BC (they should equal the same):
Width (w) = 3 units
Plug these numbers into the formula:
5 units × 3 units
15 units^2
Box A has a surface area of 98 in 2. If box B is 4 times the size of box A, what is the surface area of box B?
Given:
Box A has a surface area of 98 in².
Box B is 4 times the size of box A.
To find:
The surface area of box B.
Solution:
Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.
We know that the areas of similar figures are proportional to the square of their corresponding sides.
[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]
Using cross multiplication, we get
[tex]98\times 16=1\times A_B[/tex]
[tex]1568=A_B[/tex]
Therefore, the surface area of box B is 1568 in².
69 min equals how many hours and min
Answer:
One hour and nine minutes
Step-by-step explanation:
Another way to write 300 + 70 + 5/10 + 8/100
Pick one:
A) 370.58
B) 370.058
C) 30, 070. 508
D) 30,070. 58
No! links or guessing or lm will report you! :)
Answer:
A. 370.58
Step-by-step explanation:
Hope that helps
There were 25 children and 15 adults at the beach. Emery said that there were 5 children for every 3 adults. Is he correct. Explain
Answer:
The statement is correct as we will simplify the ratio of adults to children and will come down this.
25 children / 15 adults
both are multiple of 15 and will be divided to come down to 5 / 3
therefore it can be said that there were 5 children for every 3 adults.
Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?
Answer:y=-3
Step-by-step explanation:
The value of the asymptote of the function is,
⇒ y = - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
g(x) is an exponential function shown in the graph.
We know that;
On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.
Hence, From graph,
The value of the asymptote of the function is,
⇒ y = - 3
Thus, he value of the asymptote of the function is,
⇒ y = - 3
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At a football stadium, 20% of the fans in attendance were teenagers. If there were 240 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
760 people in total
Step-by-step explanation:
PLS HELP MY LIL BRO!! NO LINKS!!! WILL GIVE 90 POINTS!!
Answer:
i think its 44cm^3
Step-by-step explanation:
I need help on finding the perimeter of MNP. I do not know how to start this problem. Any help will be appreciated :)
Answer:
The perimeter of triangle MNP is 130 units
Step-by-step explanation:
By the mid segment theorem, we have it that the a side of the smaller inner triangle is 1/2 the measure of the parallel side of the bigger triangle that faces it
This mean RS is half MN, QS is half NP and QR is half MP
Using this, we have it that;
2(x + 4) = 5x - 34
2x + 8 = 5x -34
5x-2x = 34 + 8
3x = 42
x = 42/3
x = 14
So we have RS which is x + 4 as 14 + 4 = 18
The perimeter of the smaller triangle is the sum of its side lengths
We have this as;
22 + 25 + 18 = 65
Furthermore, by the mid segment theorem , the perimeter of the bigger triangle is twice that of the smaller
thus, we have the perimeter of MNP as 2(65) = 130 units
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Grasshoper and Rabbits is correct answer .
please help me on this!!!
Answer:
19.0064
Step-by-step explanation:
A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?
Answer:
72 different ratings
Step-by-step explanation:
To find how many different ratings there are, multiply all the factors together.
2 * 4 * 3 * 3 = x
8 * 9 = x
x = 72
72 different ratings
Write an expression for the area of the square.
Answer:
A=[tex](4x-5)^{2}[/tex]
Step-by-step explanation:
The area of a square can be found by multipling two of the side lengths. And since all the sides of a sqaures are the same we just multiply (4x-5)(4x-5)=A or [tex](4x-5)^{2}[/tex]=A.
Find the 8th term of the arithmetic sequence
-5x + 3, x + 9,7x + 15, ...
Alan types at a rate of 30 words per minute. How many words does he type in 3 minutes? words
Answer:
90 words
Step-by-step explanation:
Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.
30 words per minute x 3 minutes = 90 words
All of the following situations can be
represented by the integer 10, except
which one?
A A balloon rises 10 ft into the air
B the stock market gains 10 points
C The town lies 10 ft below sea level
D Jon received a gift of $10
Answer:
b
Step-by-step explanation:
An integer is a whole number
If the stock market gains by 10 basis points. It means that it increases by (0.0001 x 10) = 0.001% or 0.00001
this is a decimal and not an integer
urgent, help pls. :)
Answer:
rational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
Simplify the expression by combining like terms: 4x - 2 - 8x + 1
Answer:
-4x-1
Step-by-step explanation:
combine 4x and -8x to make -4x and combine -2 and 1 to make -1
Anyone who is good with Geometry
Answer:
6
Step-by-step explanation:
pls help to solve this
Step-by-step explanation:
hope it is helpful to you
A radius of 1 meter. What’s the area. Use 3.14 for pi
Answer:
A is 3.14
Step-by-step explanation:
. good day.hope it helps
Answer:
Step-by-step explanation:
circumference = 2 * pi * radius
Plug in 4 meters for radius and 3.14 for pi .
circumference ≈ 2 * 3.14 * 4 m
Multiply these together.
circumference ≈ 25.1 m
area = pi * radius2
Plug in 4 meters for radius and 3.14 for pi .
area ≈ 3.14 * (4m)2
Square the 4m .
area ≈ 3.14 * 16m2
Multiply.
area ≈ 50.2 m2