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3 years ago

Combine like terms to create an equivalent expression.

Mathematics

1 answer:

9966 [12]3 years ago

6 0

102m-51
Multiply the two into the parentheses and add the -102 and the 53.

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jacob bought 5 pencils for 80 cents. At this same rate, how many pencils can hee but for 40 cents? Explain why this answer does

Step2247 [10]

5 pencils cost $.80. Each pencil costs $0.16
Then divide $0.16 into $0.40
This equals 2.5 pencils, you can't buy half a pencil

3 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.

We can use cosine formula here to find the value of the unknown side.

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

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

2 years ago

What is the common difference for this arithmetic sequence?

MaRussiya [10]

Common difference of the arithmetic sequence, is

$d=a_{n} - a_{n-1}$

$d = a_{2} -a_{1} = 48-31=17 \\ \\d= a_{3} -a_{2} = 65 - 48= 17 \\ \\ d= a_{4} -a_{3}= 82-65=17 \\ \\ Answer:\ D.17.$

4 0

3 years ago

Read 2 more answers

Solve -14 +5x =-12 really need this answer

Paladinen [302]

Move the 14 over and get
5x = 2
divide by 5
x = 2/5

7 0

3 years ago

Read 2 more answers

The diagram shows Maha's garden.

Liono4ka [1.6K]

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

4 0

2 years ago