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seraphim [82]
3 years ago
7

Jacob Is Twice as old as Sue. The sum of their ages is 69 years. How old is Jacob?

Mathematics
1 answer:
NemiM [27]3 years ago
7 0
x-Sue\\2x-Jacob\\\\x+2x=69\\\\3x=69\ \ /:3\\\\x=69:3\\\\x=23-Sue\\\\2x=2\cdot23=46-Jacob\\\\Answer:Jacob\ is\ 46.
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Help please I’m lost
zaharov [31]

Answer:

d

Step-by-step explanation:

f(3)=5(3)²-7(4(3)+3))

    =45-105

    = -60

8 0
2 years ago
A pencil costs $0.60 plus sales tax. After sales tax the pencil costs $0.63. What is the sales tax rate?
olasank [31]

Answer:

5%

Step-by-step explanation:

4 0
3 years ago
Every $4,000 spent on cable TV will reach 160 fans while every $2,750 spent on radio ad will reach 125 fans. A stadium has estab
laila [671]

Answer:

Neither of the two advertising options meet the goal.

Step-by-step explanation:

Every $4,000 spent on cable TV will reach 160 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by \frac{4000 \times 200000}{160} = 5000000 dollars i.e. $5 million which is greater than the budget of $3 million.

Now, every $2,750 spent on radio ads will reach 125 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by \frac{2750 \times 200000}{125} = 4500000 dollars i.e. $4.5 million which is again greater than the budget of $3 million.

Therefore, neither of the two advertising options meet the goal. (Answer)

8 0
2 years ago
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o
andre [41]

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

(x_1,y_1) = (70,630)

(x_2,y_2) = (100,900)

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}

Substitute the x and y values using

(x_1,y_1) = (70,630) and (x_2,y_2) = (100,900);

We have:

y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}

y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}

y = 630 + (x - 70)\frac{270}{30}

y = 630 + (x - 70)*9

Open bracket

y = 630 + 9x - 630

y = 9x - 630+630

y = 9x

To solve for y when x = 73.

We simply substitute 73 for x

y = 9x

y = 9 * 73

y = 657

<em>Hence, the yield for 73 cubic feet is 657 pounds</em>

6 0
3 years ago
list the following rational numbers in order from least to greatest. -0.4 , 0.48, 4/8, -4/8. Someone plssssssss help me I need i
Lostsunrise [7]
For a problem like this, it is best to convert all numbers to a similar form making them easier to compare. I am going to convert them all to decimals, although converting them all to fractions can also work. 
-0.4 is already a decimal, so it needs no conversion; the same goes for 0.48.
4/8 is equal to 1/2, which equals 0.5 as a decimal. -4/8 is the same as -1/2, which is -0.5.
Therefore, we are left with the following converted numbers:
-0.4; 0.48; 0.5; -0.5

Now to simply order them from least to greatest, we will start with the two negative numbers because they are both below zero. When comparing negative numbers, the "bigger" one is actually smaller because it is farther below zero. Therefore, -0.5 is the smallest, followed by -0.4. 

Now for the last two, 0.5, or 0.50, is 0.02 bigger than 0.48. Therefore, 0.48 is the second largest number and 0.5 is the largest.

This is the order now:
-0.5 (smallest)
-0.4 (2nd smallest)
0.48 (2nd largest)
0.5 (largest)

Now they simply need to be converted back to their original form (if applicable):
-0.5 = -4/8
-0.4 = -0.4
0.48 = 0.48
0.5 = 4/8

This leaves us with the answer:
-4/8; -0.4; 0.48; 4/8
5 0
2 years ago
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