Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)

Answer:I got you

2.3L=2300ML

4.5yds=162in

Step-by-step explanation:

Answer:

[tex]\frac{15a- 8}{14} = x[/tex]

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

[tex]5(6a + 1) = 7(4x + 3)\\[/tex]

[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]

Step 2 - Subtract 3 from both sides to isolate the 4x:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x[/tex]

Step 3 - Expand equation:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]

Step 4 - Translate -3 into a fraction and add it:

[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]

[tex]\frac{30a - 16}{7} = 4x[/tex]

Step 5 - Divide both sides of the equation by 4:

[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]

Multiply the two fractions together to simplify:

[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]

[tex]\frac{30a - 16}{28} = x[/tex]

Step 6 - Simplify by dividing the fraction by 2:

[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]

[tex]\frac{15a- 8}{14} = x[/tex]

Hope this helps!

Answer:

4p+23

Step-by-step explanation:

I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.

Answer:

1 inch = 2 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to given:

Divide both by 4 to get the scale of drawing:

Answer:

80 Yuan for 10 Dollars

Step-by-step explanation:

1 dollar = 8 yuan

10 x 8 = 80

Answer:

80 yuan

Step-by-step explanation:

$1= 8

you have $10

10*8= 80

Answer:

[tex]\frac{7}{10} ,0.7[/tex]

Reasoning:

Do the inverse of adding 4/5 to isolate and find a.

[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]

Decimal Form:

[tex]1.5-0.8=0.7[/tex]

Answer:

  a = 0.7 = 7/10

Step-by-step explanation:

Subtract 4/5 from both sides.

  a + 4/5 = 1 1/2

  a + 0.8 = 1.5

  a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides

  a = 0.7 = 7/10

_____

If you like, you can solve this a couple of other ways:

1) Solve it as an integer problem.

  10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions

  10a = 7 . . . . . . . . subtract 8

  a = 7/10 . . . . . . divide by 10

2) Use a common denominator

  a +8/10 = 1 5/10

  a = 1 5/10 -8/10 . . . . . subtract 8/10

  a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction

__

Additional comment

It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.

Answer:

add

Step-by-step explanation:

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Answer:

30 bikes

Step-by-step explanation:

the profit from each bike is 50 so then you divide 1500 by 50 and you get 30

Answer:

See answer below.

Step-by-step explanation:

Pick any two ordered pairs that is on the given graph line.

The  Slope = (the change in the y-values)/(the change in the x-values) or

Answer:

Step-by-step explanation:

=> 3x - 12 = 3

=> 3x = 3 + 12

=> 3x = 15

[tex] = > \frac{3x}{3} = \frac{15}{3} [/tex]

=> x = 5 (Ans)

[tex]\sf 3x - 12 = 3[/tex]

[tex]\sf \longmapsto3x = 3 + 12[/tex]

[tex]\sf \longmapsto3x = 15[/tex]

[tex]\sf \longmapsto \: x = \frac{15}{3} [/tex]

[tex]\sf \longmapsto{x} = 5[/tex]

[tex] \boxed{ \sf \: 5}[/tex]

Answer:

brainlest = answer

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

ford would be 250 in metres and the decimal would be the smallest

jerry, Simon, curst, carl, ford

Answer:

I believe it's (2d - 1) • (d + 2)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   3 .

     -4    +    1    =    -3

     -2    +    2    =    0

     -1    +    4    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  4

                    2d2 - 1d + 4d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   d • (2d-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2d-1)

Step-5 : Add up the four terms of step 4 :

                   (d+2)  •  (2d-1)

            Which is the desired factorization

Answer -  (2d - 1) • (d + 2)

Answer:

Step-by-step explanation:

please tell me what is -9d×2-d×2

-9d×2-d×2

-18d -2d

-20d

Answer:

c=0.8

Step-by-step explanation:

Step 1: Subtract 5.96 from both sides.

c+5.96−5.96=6.76−5.96

c=0.8

Answer:

The mean is 80, the median is 83, and the mode is 90

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

Answer:

97.5

Step-by-step explanation:

Supplementary means the angles add up to 180°

So,

m∠A = 180 - m∠B

m∠A = 180 - 82.5

m∠A = 97.5

Answer:

a = 0.5

b = 6

ab - b

= 0.5 × 6 - 6

= 3 - 6

= -3

Hope it helps:)

The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.

Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.

When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.

Learn more about regression analysis in https://brainly.com/question/1305938

Answer:

$ 15840

Step-by-step explanation:

12000 + 32% = 15840

Answer:

Deductive Reasoning.

Step-by-step explanation:

Basically it’s logical thinking in simply terms.

Step-by-step explanation:

19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2

Answer:

part A

y = 2x -1

the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive

the y-int is -1

y = 4x -5

the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive

the y-int is -5

part B  

the solution to this is (2,3)

Step-by-step explanation:

Answer:

Part A:

y = 2x - 1

Slope = 2/1

Y intercept = -1

y = 4x -5

Slope = 4/1

Y intercept = -5

Part B:

x = 2    y = 3

Step-by-step explanation:

Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.

Equation of a line: y = mx + c

where mx is the slope and c is the y intercept

y = 2x - 1

Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right

y intercept = -1

y = 4x - 5

Slope = 4/1

y intercept = -5

Part B:

Solving for x:

Since we know that y = 2x - 1 but also 4x - 5, then:

2x - 1 = 4x - 5

2x + 4 = 4x

4 = 2x

x = 2

Solving for y:

Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:

y = 2 x 2 - 1

y = 4 - 1

y = 3

Answer:

86/27 or 3 5/27

Step-by-step explanation:

10/9 is nothing but 30/27 (multiply the numerator and denominator by 3/3)

By adding 30/27+56/27, we get 86/27, which is our final answer

Answer:

Step-by-step explanation:

You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.

1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:

2. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12

3. This is fairly straight-forward the denominators already match so just subtract the numerators

4. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction

5. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.

6. For this we will use another LCD.

The critical probability assuming a confidence level of 86% is;

Option B; 0.86

We are given the confidence level as 86%. This means that the probability of the mean of the normally distributed population being true is 86%.

This means that the critical probability is the value of z at 86% or 0.86

So when we find the value of z at that value, we will use it to get the margin of error.

Read more about critical probability of Confidence level at; https://brainly.com/question/16112320