9. Write the equation that expresses the table below.

Answer:

Rate of the Eastbound train is 93 mph.

Step-by-step explanation:

Let the speed of the Eastbound train = x miles per hour

And the speed of the West bound train = y mph

Eastbound train travels 14 mph slower than the westbound train,

So the equation will be,

y - x = 14 ----------(1)

If these trains are 400 miles apart after 2 hours,

Distance traveled by the Eastbound train = Speed × Time

                                                              = 2x miles

Distance traveled by the Westbound train = 2y miles

Trains are 400 miles apart after 2 hours,

So the equation will be,

2y + 2x = 400

x + y = 200 ----------(2)

By adding equation (1) and equation (2)

(y - x) + (x + y) = 14 + 200

2y = 214

y = 107 mph

From equation (1)

107 - x = 14

x = 107 - 14

x = 93 mph

Therefore, rate of the Eastbound train is 93 mph.

Answer:

15.01

Step-by-step explanation:

The second place to the right of the decimal point  the hundredths.

9 rounded would be to 10. You just put the 1 in the  place of the hundredths.

Answer:

15.01

Step-by-step explanation:

                               BASIC RULES FOR ROUNDING

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Answer:

Sysem A has 2 real solutions (both the positive and negative form of a number can be squared to get a positive square)

System B has 0 real solutions (you can't square root a negative number and get a real number)

System C has 2 real solutions (same explanation as System A)

Answer:

Step-by-step explanation:

5/6 x 18 = 5 x 18/6 = 5x3 = 15

The requried, fraction 5/6 of 18 is equal to 15. In other words, if you take 5/6 of 18, you get 15.

To find 5/6 of 18, we set up the expression as follows:

(5/6) * 18

To multiply a fraction by a whole number, we simply multiply the numerator (the top number) of the fraction by the whole number. The denominator (the bottom number) remains the same. In this case, we have:

(5 * 18) / 6

Now, we multiply the numerator 5 by the whole number 18:

5 * 18 = 90

So, we have:

(90) / 6

Simplify the fraction.

To simplify the fraction, we divide the numerator (90) by the denominator (6):

90 / 6 = 15

Therefore, 5/6 of 18 is equal to 15. In other words, if you take 5/6 of 18, you get 15.

Learn more about fractions here:

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Answer:

40x-6 is not equivalent because 16 is not a multiple of 40

Step-by-step explanation:

if you write the multiples of 4o you will see that 16 is not one of them so that means 40x-16 is not equivalent

Answer:  if Lisa has  ?  sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with

Answer:

El numero es 2

Step-by-step explanation:

Sea x el número.

A partir de la pregunta, la expresión se puede representar matemáticamente como:

[tex]3x ^ 2 = 6x[/tex]

Divide ambos lados de la expresión por x

[tex]\frac{3x ^ 2}{ x} = \frac{6x }{ x}[/tex]

[tex]\frac{3x ^ 2}{ x} = 6[/tex]

[tex]3x = 6[/tex]

Divide ambos lados de la expresión por 3

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

Por tanto, el número es 2

Answer:

The answer is 3x^2 + 3x + 27

Step-by-step explanation:

Simplify the expression.

hoped this helped!

brainly, please?

Answer: 50

Step-by-step explanation: 60 divided by 30= 2 this means that 1 kid equals two percent 100 percent minus 60 percent= 40 percent 40 divided by 2= 20

20 plus 30= 50 so 50 kids are in the marching band

Answer:

divide by 105 lol.

Step-by-step explanation:

1500/105.... just plug n in, n = 105

Answer:

A $14.29

Step-by-step explanation:

d = 1500/n

d = 1500/105

d = 14.2857..

d = $14.29

Answer:

B

Step-by-step explanation:

Count the units

Answer:

n=68

m=180-(68+68)

m=180-136

m=44

Answer:

m=44 n=68

Step-by-step explanation:

Base angle theorum.

180-(68+68)= Angle opposite to M=44

Vertical Angle Theorum.

M=Angle opposite to M=44

Definition of Isoceles Triangle.

n=(180-44)/2=136/2=68

Answer:

It’s the bottom answer.

Step-by-step explanation:

hope I helped

The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔLMN, the measure of the third angle is calculated as,

∠N + ∠M + ∠L = 180°

∠N + 51° + 36° = 180°

∠N = 93°

In triangle ΔFGH, the measure of the third angle is calculated as,

∠H + ∠F + ∠G = 180°

∠H + 51° + 36° = 180°

∠H = 93°

In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

More about the triangle link is given below.

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Answer:

2 or b

Step-by-step explanation:

Answer:

x=4.464974

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

multiplication

Answer:

18

Step-by-step explanation:

1/3(x-9)=3

x-9=3/(1/3)

x-9=(3/1)/(1/3)

x-9=(3/1)(3/1)

x-9=9/1

x-9=9

x=9+9

x=18

Answer:

y = 45x + 25

Step-by-step explanation:

Slope-intercept equation/form:

y = mx + b

________________________

x is the amount of classes that Toshelle will take and each class costs $45.

So, you multiply them by one another to get:

45x

_________________________

Additionally, there is a one-time payment of $25.

So, you add 25 to the cost to get:

+25

__________________________

y is the total amount of money Toshelle has to pay.

Therefore, you place 45x and +25 into a slope-intecept equation/form to get:

y = 45x + 25

a^n + a^n+1

rewrite a^n+1 as a^1 a^n

now you have a^n + a^1a^n

Factor out the common term to get the final answer:

a^n (1+a)

Answer:

13

Step-by-step explanation:

the two numbers that satisfy the requirements for this is 2 and 3, so the answer i put is the sum of the square of the two numbers.

Answer:

let two number be x and y

by question

x+y=5….....(1)

xy=6

x=6/y.........(2)

putting the value of x in equation 1

6/y+y=5

6+y²=5×y

y²-5y+6=0

y²-3x-2x+6=0

(y-3)(y-2)=0

either

y=3

or

y=2

:.required no is 2 and 3

Answer:

2/5 yards of fabric

Step-by-step explanation:

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow?

5 identical pillows = 2 yards of fabric

1 pillow = x yards

Cross Multiply

x yards × 5 pillows = 2 yards × 1 pillow

x yards = 2 yards × 1 pillow/5 pillows

x yards = 2/5 yards of fabric

Therefore, 2/5 yards of fabric was used for 1 pillow

Answer:

The Equation :

D = 300 - 10W

Step-by-step explanation:

We are told in the above question that:

Tony has $300 in his bank account. He takes out $10 each week for "W" weeks.

Where W = number of weeks

Our Equation is written as

Total amount in the bank account - $10 × W

= $300 - $10 × W

The Equation is given as

D = 300 - 10W

Answer:

Step-by-step explanation:

using the pemdas method

121-1= 120

57*120= 6840-120= 6720

Answer:

The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Step-by-step explanation:

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25