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gulaghasi [49]
3 years ago
15

A pot contains 25 ounces of soil. You use 4 1/4 ounces of soil to plant 1 herb. Is there enough soil in the pot to plant 5 herbs

?
Mathematics
1 answer:
Andre45 [30]3 years ago
6 0

Answer:

why is there so much soil

Step-by-step explanation:

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi
Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

7 0
3 years ago
Use two unit multipliers to convert 1500 centimeters to feet.<br>thanks :)
bagirrra123 [75]

49.2126 Feet (ft)

hope this helps

7 0
3 years ago
Read 2 more answers
What is the difference between the largest prime number less than 5o and the smallest comoosite number greater than 10
erastova [34]
<h3>Answer:  35</h3>

A prime number is one where the only factors are one and itself. A composite number has other factors.

You'll have to look at the list of numbers from 1 to 50

In that list, 47 is the largest prime less than 50, and 12 is the smallest composite number greater than 10.

So 47-12 = 35

8 0
3 years ago
Expand the logarithm. log4 (3xyz​)^2
tangare [24]
2<span>(<span>log4</span><span>(3)</span>+<span>log4</span><span>(x)</span>+<span>log4</span><span>(y)</span>+<span>log4</span><span>(z)</span><span>)</span></span>
4 0
3 years ago
Read 2 more answers
What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3
a_sh-v [17]

The value of the expression is 141.5

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

140+1.5

Finally, using PEMDAS, let us add the values, we have,

141.5

Thus, the value of the expression is 141.5

7 0
3 years ago
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