A squirrel needs to look for some nuts in the forest every day. It can find 24 nuts on a sunny
day and 10 nuts on a rainy day. If the squirrel found 98 nuts last week, write and solve a
system of equations in order to find:
How many sunny days were there in last week? |
sunny days
How many rainy days were there in last week?
rainy days

Answer:

x > 2

Step-by-step explanation:

Original Equation:

4x + 0.5(2x + 4) > 12

0.5 multiplied by 2x = 1x

0.5 multiplied by 4 = 2

4x + 1x + 2 > 12

4x + 1x = 5x

5x + 2 > 12

Subtract 2 from both sides.

5x > 10

Divide both sides by 5

x > 2

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Answer:

2

Step-by-step explanation:

Parallel lines have the same slope. Hope this helps!

Answer:

The answer is y=5/4x-5

Step-by-step explanation:

The required equation of the line that goes through the point (4, 0) and has a slope of 5/4 is y = 5/4x - 5.

In the equation intercept is the value of the linear function where either of the variables is zero.

The equation of a line with slope m and passing through the point (x₁, y₁) can be found using the point-slope formula:

y - y₁ = m (x - x₁)

Plugging in m = 5/4, x₁ = 4, and y₁ = 0, we get:

y - (0) = 5/4 (x - (4))

Simplifying, we get:

y = 5/4x - 5

Thus,  the equation of the line is y = 5/4x - 5

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Answer:

2.088

Step-by-step explanation:

Trust me I am in high school honors algebra with almost an average of 100.

The product of 2.4 x 0.87 is 2.088.

A decimal is represented by a dot which separates the whole part and the fractional part of a number.

According to the given question we have to multiply two decimals numbers  2.4 and 0.87.

Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.

So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.

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Answer:

Number 2

Step-by-step explanation:

Answer:

h/3 + p/3 + 8 = k

Step-by-step explanation:

h+p=3(k-8)

h+p=3k-24

h+p+24=3k

h/3 + p/3 + 8 = k

Answer

k=(h+p+24)/3

Step-by-step explanation:

h+p=3(k-8)

h+p=3k-24

h+p+24=3k

k=(h+p+24)/3

Answer:

4 beads in each bracelet

Step-by-step explanation:

You divide 32 by 8 which gives you 4 because 8 multiplied by 4 equals 32

Answer:

Step-by-step explanation:

Answer:

the answer is A) X=m/n-p

Step-by-step explanation:

m/x=n-p

n-p=m/X

(n-p)×x=m

X=m/n-p

Answer:

8,000

Step-by-step explanation:

you have to move the decimal to the right 3 times. so you take 8 and move the decimal 3 times. which gives you 8000.

or 8,000

The solution is: 8x10^3 in standard notation is 8,000.

Here, we have,

given that,

the expression is: 8 x 10^3

now, we have to write 8 x 10^3 in standard notation.

we know that,

A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules.

For example, 4.5 billion years is written as 4,500,000,000 years.

we know,

To change a number from scientific to standard notation, move the decimal point the number of places shown in the exponent of 10.

here, we have,

8 x 10^3

= 8 x 1000

so, we have to move the decimal to the right 3 times. so we take 8 and move the decimal 3 times. which gives 8000.

we get,

8 x 10^3 = 8000

Hence, The solution is: 8 x 10^3 in standard notation is 8000.

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Answer:

25 minutes

Step-by-step explanation:

it kinda depends on how fast hes going but most likely 25 minutes

Answer:

The speed of the slower car = 20 mph

The speed of the faster car = 25 mph

Step-by-step explanation:

Let the speed of the slower car be s - 5

Let the speed of the other car be s

Two cars are 180 mi apart and travel toward each other along the same road. They meet in 4 hr.

Hence, the total speed = Distance/Time

= 180 miles/4hr

= 45 miles/hr or 45mph

Therefore:

s + s - 5 = 45 mph

2s - 5 = 45 mph

2s = 45 + 5

2s = 50

s = 50/2

s = 25 mph

The speed of the other car = s = 25mph

The speed of the slower car be s - 5

s - 5

= 25 - 5 = 20mph

Therefore,

The speed of the slower car = 20 mph

The speed of the faster car = 25 mph

Answer:

d

Step-by-step explanation:

consecutive angles aren't a thing and the others there would have to be an angle on the other side.

Answer:

16

Step-by-step explanation:

80 divide by 5 is 16

Answer:

Step-by-step explanation:

(7p² + 4p+3)-(4p²- 3p+1)

opening the brackets

7p² + 4p + 3 - 4p²+ 3p - 1

By grouping the like terms,

7p² - 4p² + 4p + 3p + 3 - 1

3p² + 7p + 2

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Complete question is;

State whether true or false

The sum of a negative integer and a positive integer is always a negative integer.

Answer:

False

Step-by-step explanation:

The statement is false. This is because it's not in every case that sum of negative integer and a positive integers is equal to zero.

For example let's consider the integers -5 and 8.

The sum is; -5 + 8 = 3

The result is not negative

Whereas if we consider -8 and 5,the sum is; -8 + 5 = -3

This result is negative

So sometimes the sum can yield a positive or negative results.

Thus, the statement in the question is false.

Answer:

Step-by-step explanation:

so the y axes is up and down and the x axes is left to right so point d and point e have the same y axes but they have opposite x axes so instead of negative four to the left its positive 4 to the right

Answer:

I guess you need all your numbers to be multiblyed to get 46

Step-by-step explanation:

what is basikly the question

Answer: 12, 13, 14

Explanation: This was on my test last week and this is the correct answer.

Answer:

18, 19, 20

Step-by-step explanation:

We can have the lowest number be [tex]x[/tex], and the second and third numbers be [tex]x+1[/tex] and [tex]x+2[/tex]. Now we have the equation [tex]x+x+1+x+2=x+39.[/tex]

[tex]3x+3=x+39\\\\2x=36.[/tex]

x=18, so the numbers are 18, 19, and 20.

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of ​$174,000, then;

25x + 40y = ​174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = ​174,000.

25(6000-y) + 40y = ​174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000

Answer:

f(n) = -3n + 24

Step-by-step explanation:

Let the function representing Number of meals and amount of Pet Food remaining is,

f(n) = an + b

Where a = number of meals dispensed

n = amount of Pet food per meal

b = Initial amount of Pet food

From the table attached,

For n = 1 and f(n) = 21,

21 = a(1) + b

a + b = 21 -----------(1)

For n = 3 and f(n) = 15,

15 = a(3) + b

3a + b = 15 -----------(2)

Equation (2) - equation (1),

(3a + b) - (a + b) =  15 - 21

a = -3

From equation (1),

-3 + b = 21

b = 24

Therefore, function will be,

f(n) = -3n + 24

Answer:f(n)=-3+24

Explanation

Unit rate of the table is three therefore taking away 3 cups each time food is dispensed aka -3n. 24 represents the starting point. 21+3=24

Answer:

Step-by-step explanation:

Hope this helps! <3

Answer:

[tex]15 \sqrt{2 } [/tex]

that the answer

Answer:

4x-3y

Step-by-step explanation:

Answer:

(3x-5y) + (x+2y)

Let just go ahead and open brackets and simplify

3x - 5y + x + 2y

3x + x + 2y - 5y

4x - 3y

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