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Elis [28]
3 years ago
8

Which expression has a negative value? a. 7+36-4)(2) b. -2[12-(-3)] c. (15-7) - (9-3) d. -5[7+(-14) )-30 ​

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0
B has a negative value of -30
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Lisa collects rainwater in a barrel that weighs 25 pounds. When there are 10 gallons of water in the barrel, the total weight of
Zinaida [17]

Answer:

The equation that matches this situation is y = 8.34x + 25 ⇒ B

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope (rate of change)
  • b is the y-intercept (initial value)

The rule of the slope is m = Δy/Δx, where

  • Δy is the change of y
  • Δx is the change of x

∵ Lisa collects rainwater in a barrel that weighs 25 pounds

∴ The initial value of the weight is 25 pounds

∴ b = 25

∵ When there are 10 gallons of water in the barrel, the total weight

  of the barrel and the water is 108.4 pounds

∴ At x = 10, y = 108.4

∵ When there are 20 gallons of water, the total weight is 191.8 pounds

∴ At x = 20, y = 191.8

→ Find Δx and Δy

∵ Δx = 20 - 10 = 10

∵ Δy = 191.8 - 108.4 = 83.4

→ Substitute them in the rule of the slope above

∴ m = \frac{83.4}{10}

∴ m = 8.34

→ Substitute the values of m and b in the form of the equation above

∵ y = 8.34x + 25

∴ The equation that matches this situation is y = 8.34x + 25

6 0
3 years ago
Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining
enot [183]

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

8 0
4 years ago
PLEASE TELL ME!!!!!!<br><br> What is the solution to the equation 4/5n-1/5=2/5n
Mashutka [201]

Answer:

4/5n-1/5=2/5n  

One solution was found :

                  n = 1/2 = 0.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/5*n-1/5-(2/5*n)=0  

Step by step solution :

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

   4    1   2

 ((—•n)-—)-(—•n)  = 0  

   5    5   5

Step  2  :

           1

Simplify   —

           5

Equation at the end of step  2  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  3  :

           4

Simplify   —

           5

Equation at the end of step  3  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4n - (1)     4n - 1

————————  =  ——————

   5           5    

Equation at the end of step  4  :

 (4n - 1)    2n

 ———————— -  ——  = 0  

    5        5  

Step  5  :

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4n-1) - (2n)     2n - 1

—————————————  =  ——————

      5             5    

Equation at the end of step  5  :

 2n - 1

 ——————  = 0  

   5    

Step  6  :

When a fraction equals zero :

6.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2n-1

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2n-1  = 0

Solving a Single Variable Equation :

6.2      Solve  :    2n-1 = 0  

Add  1  to both sides of the equation :  

                     2n = 1

Divide both sides of the equation by 2:

                    n = 1/2 = 0.500

One solution was found :

                  n = 1/2 = 0.500

4 0
4 years ago
Express 8 sin^2x - 10sinxcosx in the form a+b sin(2x+c).
ladessa [460]
8 sin2x - 10sinxcosx = 8*2sinXcosX-10sinXcosX = 16sinXcosX - 10sinXcosX = 6sinXcosX=3sin2x
7 0
3 years ago
Is the point (2,3) the same as the point (3,2)?<br> Explain.<br><br><br> Plz answer before 30 min
Makovka662 [10]

no, (2,3) is 2 over 3 up and (3,2) is 3 over 2 up. They are completely different.

7 0
3 years ago
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