Hasina and her sister Jaqa ride their bikes to school.
Hasina starts first. The equations show the distance
each girl is from home m minutes after Jada starts.
What is the solution of the system of equations? What
does this mean in this situation?
Hasina: d = 300m + 1,500
Jada: d= 300m

Answers

Answer 1

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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Related Questions

What is the midpoint of the segment with endpoint(1,9)and(-3,5)

Answers

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)

Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.

Answers

Answer:

it would be (9/n )+ 2 = 8

Step-by-step explanation:

I hope this is right :)))

area = ___ square units​

Answers

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?

Answers

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.

Alan types at a rate of 30 words per minute. How many words does he type in 3 minutes? words​

Answers

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

please help me on this!!!

Answers

Answer:

19.0064

Step-by-step explanation:

What is the value of x????

Answers

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

Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?

Answers

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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pls help to solve this ​

Answers

Step-by-step explanation:

hope it is helpful to you

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?​

Answers

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

Find the 8th term of the arithmetic sequence
-5x + 3, x + 9,7x + 15, ...

Answers

The answer is 17x+15

please help i’ll give brainliest

Answers

Grasshoper and Rabbits is correct answer .

Simplify the expression by combining like terms: 4x - 2 - 8x + 1

Answers

Answer:

-4x-1

Step-by-step explanation:

combine 4x and -8x to make -4x and combine -2 and 1 to make -1

the answer is -4x - 1

I need help on finding the perimeter of MNP. I do not know how to start this problem. Any help will be appreciated :)

Answers

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

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

Answers

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.

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.

Answers

Answer:

the tank is 3 feet deep

Step-by-step explanation:

I got 15.65 then rounded up to 3

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

Answers

[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]

Write an expression for the area of the square.​

Answers

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.

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! :)

Answers

Answer:

A. 370.58

Step-by-step explanation:

Hope that helps

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

Answers

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.

69 min equals how many hours and min

Answers

Answer:

One hour and nine minutes

Step-by-step explanation:

1 hour=60 minutes
So 69-60=9
1 hour and 9 minutes

A radius of 1 meter. What’s the area. Use 3.14 for pi

Answers

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

Anyone who is good with Geometry

Answers

Answer:

6

Step-by-step explanation:

PLS HELP MY LIL BRO!! NO LINKS!!! WILL GIVE 90 POINTS!!

Answers

Answer:

i think its 44cm^3

Step-by-step explanation:

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.

Answers

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 period of the function?

1.π
2.2π
3. 3π
4. 4π

Answers

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

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?

Answers

Answer:

760 people in total

Step-by-step explanation:

please help!!

Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.​

Answers

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

urgent, help pls. :)​

Answers

Answer:

rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

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

Answers

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

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