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3 years ago

How many more pennies were produced that year than half year

1 answer:

6 0

Think I know why don't you do the math cadence man all you said is "oh how many more pennies are produced in half a year really not even giving us any numbers it doesn't matter what device were on we can always look up the answer online your lucky

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

Black_prince [1.1K]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

The correct question is

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

4 0

3 years ago

What are the period and amplitude of the function?

umka2103 [35]

Answer:

The period of function is 5 and amplitude is 3.

Step-by-step explanation:

The period of the function is the time interval after which it repeats itself.

It means the time interval after which the same value of graph is attained.

In the above case looking at the peak point at time 5 seconds, the same value is obtained at time 10 seconds.

Thus the time interval is (10 - 5) 5 seconds.

Amplitude is the maximum value attained by the graph in the complete interval.

In the above case, the maximum value attained is 3.

8 0

3 years ago

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

4% account:

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

5% account:

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago

Solve the math problem

Nadusha1986 [10]

Answer:

Below!

Explanation:

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

2¹ = 2
3⁵ = 3 x 3 x 3 x 3 x 3 = 243
4³ = 4 x 4 x 4 = 64
6⁴ = 6 x 6 x 6 x 6 = 1256
7⁴ = 7 x 7 x 7 x 7 = 2401
1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
8² = 8 x 8 = 64
2³ = 2 x 2 x 2 = 8
4⁴ = 4 x 4 x 4 x 4 = 256
10³ = 10 x 10 x 10 = 1000
12² = 12 x 12 = 144
5⁴ = 5 x 5 x 5 x 5 = 625
6² = 6 x 6 = 36
3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
7³ = 7 x 7 x 7 = 343
2⁴ = 2 x 2 x 2 x 2 = 16
11⁰ = 1
4³ = 4 x 4 x 4 = 64
1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0

2 years ago

5 10 — = — s 14 Help!

allsm [11]

The answer to your question is 514

7 0

3 years ago