All categories

3 years ago

-5/6(8+5b) = 75+5/3 b

Mathematics

2 answers:

Viktor [21]3 years ago

6 0

Answer:

b = - 14

Step-by-step explanation:

Given

- $\frac{5}{6}$ (8 + 5b) = 75 + $\frac{5}{3}$ b

Multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions

- 5(8 + 5b) = 450 + 10b ← distribute left side

- 40 - 25b = 450 + 10b ( subtract 10b from both sides )

- 40 - 35b = 450 ( add 40 to both sides )

- 35b = 490 ( divide both sides by - 35 )

b = - 14

Arisa [49]3 years ago

6 0

I think it’s b= -14

You might be interested in

I need this fast!........................

Schach [20]

Answer: $(2,2)$

Step-by-step explanation:

1. Substitute $y=0$ into first equation and solve for "x" in order to find the x-intercept of the first line:

$0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6$

2. Substitute $x=0$ into the first equation and solve for "y" in order to find the y-intercept of the first line:

$y=-\frac{1}{2}(0)+3\\\\y=3$

Knowing that first line passes through the points $(6,0)$ and $(0,3)$ , you can graph it.

3. Substitute $y=0$ into second equation and solve for "x" in order to find the x-intercept:

$0=2x-2\\\\2=2x\\\\x=1$

4. Substitute $x=0$ into the second equation and solve for "y" in order to find the y-intercept of the second line:

$y=2(0)-2\\\\y=-2$

Knowing that second line passes through the points $(1,0)$ and $(0,-2)$ , you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

$(2,2)$

7 0

3 years ago

Berry waked the dog for 20 minutes.

Sergeu [11.5K]

Chris walked the dog for 80 minutes or 1 hour and 20 minutes

5 0

3 years ago

Read 2 more answers

A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus

anastassius [24]

Answer:

Step-by-step explanation:

24 x 1 1/4

5 0

3 years ago

Find the area of a triangle formed by placing the vectors [3, 6] and [7, 1] tail-to-tail.

Usimov [2.4K]

Answer:

a. $A=10u^{2}$

b. View graph

c. 6.40u

Step-by-step explanation:

knowing that the triangle area is equal to base by heigh between two, then:

$A=\frac{bh}{2}=\frac{5*4}{2}=10u^{2}$

The length of the longest altitude of your triangle is:

$c^{2}=a^{2}+b^{2}=5^{2}+4^{2}=25+16=41\\ c=\sqrt{41}=6.40u$

finally it can be seen that the position of the triangle does not matter, as long as the base and heigh are maintained, the area of the triangle will be the same

6 0

3 years ago

Use the information given to enter an equation in standard form. Slope is 4/7 , and (5,8) is on the line.

aalyn [17]

8=4/7(7) + b
b=4
Y= 4/7 x + 4
[You might wanna check your answer, I might be wrong. Sorry if I’m wrong.]

4 0

3 years ago