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3 years ago

Solve for b. -b - 19 = -3b – 9

Mathematics

1 answer:

8090 [49]3 years ago

3 0

Answer:

b=5

Step-by-step explanation:

-b - 19 = -3b – 9

Add 3b to each side

-b+3b - 19 = -3b+3b – 9

2b -19 = -9

Add 19 to each side

2b-19+19 = -9+19

2b = 10

Divide by 2

2b/2 =10/2

b=5

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find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23

Irina18 [472]

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

AB= 6x, BC= x-5, AC= 23

Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

x=4

7 0

3 years ago

(2x + 35)=(5x-22) what’s x

finlep [7]

Answer:

x=19

Step-by-step explanation:

5 0

3 years ago

Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0

2 years ago

Marco needs to buy some dog food. At the nearest store, 3 bags of dog food cost $6.75. how much would he spend spend on six ba

ipn [44]

Your answer would be $13.50 because is 3 bags cost 6.75 and you need 6 bags then just multiply the 6.75 by 2 and you get your answer :)

7 0

3 years ago

Rama09 [41]

Answer:

m∠AOB=139°

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

$\tt 8x+51+6x-25=180$

$\tt 14x+26=180$

$\tt 14x=180-26$

$\tt \cfrac{14x}{14} =\cfrac{154}{14}$

$\tt x=11$

m∠AOB:-

$\tt 8(11)+51$

$\tt =88+51$

$\tt =139^{o}$

Therefore, m∠AOB=139°

7 0

2 years ago