5x - 7(2 - 4x)
i need help simplifying ​

Answer:

Speed of boat in still water = 40 mph

Rate of current = 10 mph

Step-by-step explanation:

Let the speed of boat in still water be x & let the speed of the stream be y.

Total Distance = 150 miles

Time taken to travel during upstream = 5 hrs

Speed of the boat during upstream = [tex]\frac{150}{5} = 30\:mph[/tex]

Speed of boat during upstream can be represented as [tex]x - y = 30[/tex] because the boat is moving in the opposite direction of flow of stream.

Time taken to travel during downstream = 3 hrs

Speed of boat during downstream = [tex]\frac{150}{3} = 50\:mph[/tex]

Speed of boat during downstream can be represented as [tex]x+y=50[/tex] because the boat is moving in the same direction of flow of stream.

We got a pair of linear eqns. Let  [tex]x-y=30[/tex] be eqn.1 and [tex]x+y=50[/tex] be eqn.2 . Using substitution method ,

From eqn.1 , [tex]x-y=30[/tex]

[tex]=> x = y + 30[/tex]

Putting 'x' in eqn.2 , [tex]x + y = 50[/tex]

[tex]=> y + 30 + y = 50[/tex]

[tex]=> y + y = 50-30[/tex]

[tex]=> 2y = 20[/tex]

[tex]=> y = \frac{20}{2} = 10\: mph[/tex]

Putting y in eqn.1 ,

[tex]x - 10 = 30[/tex]

[tex]=> x = 30 + 10 = 40 \:mph[/tex]

Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph

Step-by-step explanation:

[tex]\tt{ 7+3×6-9 }[/tex]

[tex]\tt{ 7+18-9 }[/tex]

[tex]\tt{ 25-9 }[/tex]

[tex]\tt{16 }[/tex]

Answer:

[tex]7 + 3 \times 6 - 9 \\ = 7 + 18 - 9 \\ = 25 - 9 \\ = 16[/tex]

16 is the right answer.

Answer:

3%percent of $375 is $11.25 and 20% of $56.25 is $11.25 .

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope is 4/1 which equals 4

the y int is 2

this gives us 4x+2

the line is dotted which mean there is no equal sign with the inequality

The shaded area is above the line, meaning y is greater

Answer:

4 feet 11 inches

Step-by-step explanation:

all you need to do is see how many groups of 12 is in 59

its 4 because 5 times 12 is 60

12 times 4 is 48

59-48= 11

4 feet 11 inches

Brainliest would be appreciated!

Answer:

13.26 * 6 =79.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

divide the number then add on

You can solve this using the Quadratic Formula, x =.

a = 1, b = -12, c = 59

x =    Multiply 4 and 1

x =    Multiply 2 and 1

x =    Multiply -4 and 59

x =    Square 12

x =    Subtract

x =    You can't find the square root of negatives, so factor the -92 out.

x =    You can find the square of 4, so take that out.

x =    Split the expression into two parts

x =  (+ or -)    The 2 in the numerator and the 2 in the denominator cancel each other out

x =  (+ or -)    Divide 12 by 2

x = 6 (+ or -)    Now, split the solution into the plus and minus parts.

x^2+2x-24 is the correct answer

Answer:

4

Step-by-step explanation:

Jimmy is eating appetizers that

have 120 calories each. He only

plans to eat 550 calories overall.

Write an inequality and determine

the most appetizers he can eat

without exceeding the limit.

He can eat 4.

Answer:

d

Step-by-step explanation:

because it starts off under the water which is -24 then you add a positive 24 to get to sea level

Answer:

the distance above sea level after increasing  24 meters from a depth of 24 meters below sea level

Step-by-step explanation:

equation- -24m + 24m = 0

the answer to the first one is -10 (-5 - 5 - -10)

the answer to the second one is 1,000 (0 + 1,000 = 1,000)

the answer to the third one is 10 ( 20 - 10 = 10)

the answer to the fourth one is 0 (-24 + 24 = 0)

Answer:

-2

Step-by-step explanation:

2(8) - 3(6)

16 -18 = -2

Answer:

-2

Step-by-step explanation:

If y = 8, then 2y = 8 times two, so 2y = 16

If k = 6 then 3k = 6 times 3, so 3k = 18

16 - 18 = -2

Hope this helps :)

Answer:

duh

Step-by-step explanation:

bc it’s not

Answer: B.

Step-by-step explanation:

Answer:

the answer is the option : D

Answer:

A

Step-by-step explanation:

By triangle inequality,

L < 15+6

15 < L+6

6 < L+15

Solving these, we get 9 < L < 21.

Only 10 falls within the range.

The answer is therefore 10cm i.e. A.

Answer:

the answer should be A for this question

Answer:

I think x=-25

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Don't worry I just know

Answer:

20% because if there's six different chocolates she likes and if she picks random thers a possibility of it

Answer:

y=4-3x/2

Step-by-step explanation:

move 3x to the other side by subtracting 3x on both sides

2y=8-3x

divide by 2 on both sides:

y=4-3x/2

Answer:

Step-by-step explanation: why do u need 8 balls to move 1 lolwut

Answer:

125

Step-by-step explanation:

First you want to find out the difference between Randy and Phil:

120 - 95 = 25

Then, multiply that by five:

25 × 5 = 125

Hope this helps

Answer:

Davis owns 125 cards

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

Answer:

14‏/12‏/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).

Step-by-step explanation:

Answer:

a = -4, b = 3

Step-by-step explanation:

sorry, im a bit late but hoping to help others that need the answer.

when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.

in this form, p is the opposite of the x coordinate.

and q is the same as the y coordinate.

to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.

we get: (x-2)^2+1

lets complete the equation now.

(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.

now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:

A = -4

B = 5

if i am wrong please feel free to correct me, ty.

Answer:

3.) 65

Step-by-step explanation:

180-125=55

55+60= 115

a triangle equals 180

180-115=65

The sum of all the angles in a triangle is 180 degrees.

The value of the m∠ACR is 65°.

Option 3 is the correct answer.

The sum of all the angles in a triangle is 180 degrees.

We have,

Line RCBT and ΔABC.

From the diagram, we see that,

In ΔABC,

m∠A + m∠B + m∠C = 180 ___(1)

m∠CBT = 180

m∠CBA + m∠ABT = 180

m∠CBA + 125 = 180

m∠CBA = 180 - 125

m∠CBA = m∠B = 55 ____(2)

m∠BCR = 180

m∠BCA + m∠ACR = 180 ____(3)

From (1) and (2) we get,

m∠A + m∠B + m∠C = 180

60 + 155 + m∠C = 180

m∠C = 180 - 60 - 55

m∠C = 65 ____(4)

From (4) we get,

m∠ACR = 65

Thus,

The value of the m∠ACR is 65°.

Option 3 is the correct answer.

Learn more about angles here:

https://brainly.com/question/28793979

#SPJ2

Answer:

y>5−2x/3

Step-by-step explanation:

Answer:

D

Divide both by 3

Step-by-step explanation:

Answer:

for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(

Answer:

3) 6.3

7) 14.7

Step-by-step explanation:

Use ratios to solve the table

10.5/5 = x/3

cross multiply

31.5 = 5x

x = 6.3

10.5/5 = x/7

73.5 = 5x

x = 14.7

Answer:

me dont know solve it your self HAHAHHH loser

Step-by-step explanation: