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BartSMP [9]
4 years ago
12

Solve for b. Give an exact answer. 0.5(5 - 7b) = 8 - (4b + 6)

Mathematics
2 answers:
Afina-wow [57]4 years ago
3 0

Answer:

b=-1

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5(5−7b)=8−(4b+6)

Step 1: Simplify both sides of the equation.

0.5(5−7b)=8−(4b+6)

0.5(5−7b)=8+−1(4b+6)(Distribute the Negative Sign)

0.5(5−7b)=8+−1(4b)+(−1)(6)

0.5(5−7b)=8+−4b+−6

(0.5)(5)+(0.5)(−7b)=8+−4b+−6(Distribute)

2.5+−3.5b=8+−4b+−6

−3.5b+2.5=(−4b)+(8+−6)(Combine Like Terms)

−3.5b+2.5=−4b+2

−3.5b+2.5=−4b+2

Step 2: Add 4b to both sides.

−3.5b+2.5+4b=−4b+2+4b

0.5b+2.5=2

Step 3: Subtract 2.5 from both sides.

0.5b+2.5−2.5=2−2.5

0.5b=−0.5

Step 4: Divide both sides by 0.5.

0.5b/0.5=−0.5/0.5

b=−1

torisob [31]4 years ago
3 0

Answer:

b = -1

Step-by-step explanation:

steps to my answer is attached

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Licemer1 [7]

Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

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6 0
3 years ago
A pharmacist has 80 milileters of a 25 percent saline solution. Which expression can be used to find the percentage of the conce
Thepotemich [5.8K]

Answer:


Step-by-step explanation:

Final concentration % = [grams of salt / mililiters of solution] * 100


grams of salt = grams of salt from solution 1 + grams of salt from solution 2


grams of salt from solution 1 = mililiters * %/100 = 80 mililiters * 0.25 g/mililiters = 20 g


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6 0
3 years ago
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket
EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

a =255\ yd\\c = 305\ yd\\\angle B =17^\circ

To find:

Side b = ?

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

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cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}

Putting all the values:

cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

8 0
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5 0
4 years ago
Ian bought a cup of coffee. At first, he sipped slowly. As it cooled down, he drank more quickly. The last bit was cold, and he
Colt1911 [192]

Answer:

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Step-by-step explanation:

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