MATHEMATICS HIGH SCHOOL

Evaluate the following expression: 7.0 x 10⁴ + 6.0 x 10³

A) 13 x 10⁷
B) 42 x 10⁷
C) 67 x 10³
D) 76 x 10³

Answers

Answer 1
Answer: 7.0 \cdot 10^4 + 6.0 \cdot 10^3=10^3\cdot (7.0 \cdot 10+6.0)= (70.0 +6.0)\cdot10^3= 76 \cdot10^3\n \n Answer: \ D) \ \ 76 \cdot 10^3

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Tom bought 2 1/16 pounds of peanuts and 2.45 pounds of cashews. Which did he buy more of?Explain.

Answers

2.45 pounds is more because that equals to a little over .40% more than 1/16 as a fraction which would be more over to the right making it a smaller digit

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3x + 4

Step-by-step explanation:

y = mx + b is the formula for finding the slope intercept form equation

m = slope

b = y intercept

If you look at points (-3, 0) and (0, 4), you can calculate the slope

You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)

Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4

Now, lets create your equation...

y = 4/3x + 4

True or false If the graph of two linear equations cross at exactly one point they are called dependent.

Answers

false .. the dependent if 2 lines applicable with each other  
to make shape like (T) symbol 

Suppose you are traveling straight from Los Angeles, California to Albuquerque, New Mexico, stopping overnight in Flagstaff, Arizona. The distance from L.A. to Albuquerque is 810 miles, and the road connecting the three cities is a straight line. If the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque, how far is L.A. from Flagstaff, and how far is Flagstaff from Albuquerque?

Answers

We are given with three points: A is to Los Angeles, California, B is to Flagstaff, Arizona and C is to Albuquerque, New Mexico. We translate the statements: 
AB is 120 + xBC is xAC is 810
Thus, 
120 + x + x = 810x = 345 miles (B to C)120 + x = 465 miles   (A to B)

Answer:

Albuquerque is 345 miles away from Flagstaff.

Step-by-step explanation:

We are given three cities:

  • Los Angeles, California(L.A.)
  • Flagstaff,Arizona
  • Albuquerque, New Mexico

The journey took place as:

L.A.--to-----Flagstaff-----to-----Albuquerque.

The distance between L.A. to Albuquerque is 810 miles.

Let the distance between Flagstaff to Albuquerque be 'x' miles.

Also we are given that the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque.

i.e. distance from  L.A. to Flagstaff is 120+x.

therefore, 120+x+x=810

           ⇒  120+2 x=810

          ⇒    2 x=690

         ⇒     x=345.

Hence, the distance between Flagstaff and Albuquerque is 345 miles.

Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink?

Answers

12+4+8=24.The ratio of the red balls is 8.

The ratio of the number of red balls to the number of balls that are yellow will be 2/3 and with pink will be 2.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red.

Then the number of red balls will be

⇒ 24 - 12 - 4

⇒ 24 - 16

⇒ 8

The ratio of the number of red balls to the number of balls that are yellow will be

⇒ 8 / 12

⇒ 2/3

The ratio of the number of red balls to the number of balls that are pink will be

⇒ 8 / 4

⇒ 2

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ2

Which of the following is a factor of 3x3 + 18x2 + 27x?9x

x3

x + 3

x - 3

Answers

Hello,


Answer C

3x^3+18x²+27x= 3x(x²+6x+9)=3x(x+3)²

Answer:

x + 3

Step-by-step explanation:

when you factor the expression, the answer is 3x(x+3)^2

not 9x (because of 3x^3)

not x^3 (b/c of 27x)

not x - 3

have a wonderful day!!!!!
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