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3 years ago

What is the value of the expression 3 (5to the 3rd power) + 4t to the 2nd power when s = 5 and t = 3?

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

8 0

Answer:

137

Step-by-step explanation:

enot [183]3 years ago

3 0

Answer:

411

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

3s³ +4t² = 3(5³) +4(3²)

= 3(125) +4(9) = 375 +36 = 411

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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they

FinnZ [79.3K]

Answer:

The rate per hour of the 1st mechanic is US$ 115, and the rate of the 2nd mechanic is US$ 120.

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly.

Time of the 1st mechanic working on the car = 20 hours

Time of the 2nd mechanic working on the car = 5 hours

Total rate of the work done by the two mechanics = US$ 2,900

2. What was the rate charged per hour by each mechanic if the sum of the two rates was 235 per hour?

Rate per hour of the 1st mechanic = x

Rate per hour of the 1st mechanic = 235 - x

For solving the value of x, we will use the following equation:

x * 20 + 5 * (235 - x) = 2,900

20x + 1,175 - 5x = 2,900

15x = 2,900 - 1,175 (Like terms)

15x = 1,725

x = 115 (Dividing by 15 at both sides)

The rate per hour of the 1st mechanic is US$ 115, therefore the rate of the 2nd mechanic is US$ 120 (235 - 115).

Total charged by the 2 mechanics = 115 * 20 + 120 * 5

Total charged by the 2 mechanics = 2,300 + 600

Total charged by the 2 mechanics = 2,900

5 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

larisa86 [58]

Answer:

y = -2x^2 -4x +5

Step-by-step explanation:

The vertex is at (-1,7) and the y intercept is at (0,5)

The vertex form of a parabola is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a(x--1)^2 +7

Then substitute the point into the equation

y = a(x+1)^2 +7

5 = a(0+1)^2 +7 +7

Subtract 7 from each side

5-7 = a(1)^2

-2 = a

y = -2(x+1)^2 +7

Now FOIL

y = -2 (x^2 +2x+1) +7

Then distribute

y = -2x^2 -4x-2 +7

y = -2x^2 -4x +5

5 0

3 years ago

Read 2 more answers

The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes?

krok68 [10]

FORMULA:

TSA of cubes = 6(a)²

ANSWER:

We just have to plug the respective value.

So, TSA of 8 cubes = 6 × (12)²

6 × 144
864ft².

So, Correct choice - [C] 864 ft².

6 0

3 years ago

Skye had 12 1/4 meters of ribbon. She used 2/3 of it to wrap a present and 1/2 of the remainder on a craft project. How many met

LenaWriter [7]

Answer:

She has 2 1/24 meters of ribbon

Step-by-step explanation:

Skye has 12 1/4 meters of ribbon, and she uses 2/3 of that.

To know how much she uses we have to multiply the total by the fraction she uses:

12 1/4 * 2/3,

12 1/4 is the same as 49/4, so we can solve by multiplying the nominators and denominators:

49/4 * 2/3 = 49/6;

So she used 49/4 meters of ribbon or 8.167 m.

Now we are going to see how much ribbon is left by subtracting from the total what she used:

12 1/4 - 49/4 = 49/12 meters that she has left.

And out of those she uses 1/2, so we are going to multiply what she has left by 1/2:

49/12 * 1/2 = 49/24 = 2 1/24 = 2.04167 meters that she used of the remaining.

And because she used half she still has the other half of the remaining:

2 1/24 or 2.94167 meters.

8 0

3 years ago

Sara is buying flour for her bake shop the prices of the four types of flour are listed in the table below.Which type of flour c

vladimir1956 [14]

Answer: wheat

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers