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3 years ago

22 What are the 4 inequality signs? Symbol Description in words

1 answer:

8 0

Less than sign
$<$
Greater than sign
$>$
Less than or equal to sign
$\leqslant$
Greater than or equal to sign
$\geqslant$

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A number plus 5 is less than nine.<br><br>show work for this

Dimas [21]

Answer: x + 5 < 9

Step-by-step explanation:

A number: you can use any variable, such as an x.

Plus 5: plus means "+" and 5 is obviously 5.

Less than nine: less than means the number you wrote before has to be less than 9. You can use the "<" symbol for any equations that say "less than."

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3 years ago

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah

insens350 [35]

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

$1.5c+1.2p$

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

$1.5c+1.2p=1.35(c+p)$

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

$c+p=20$

We now have the system of equations:

$\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}$

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

$c=20-p$

Let's now substitute this into the first equation:

$1.5(20-p)+1.2p=1.35(20)$

Distribute:

$30-1.5p+1.2p=27$

Combine like terms:

$-0.3p+30=27$

Subtract 30 from both sides:

$-0.3p=-3$

Divide both sides by -0.3. So, the amount of peanuts needed is:

$p=10$

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

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3 years ago

Read 2 more answers

Can someone help me find the area of this shape

CaHeK987 [17]

I think it is 420 but I'm not sure

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3 years ago

Read 2 more answers

Is 168/54 in simplest form?

Brut [27]

No, because both can be divided by two. in simplist form it is 3 1/9

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3 years ago

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

juin [17]

Answer:

A. $PR = 80.6 yd$

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

$PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}$

$PR = \sqrt{(70)^2 + (-40)^2}$

$PR = \sqrt{4,900 + 1,600}$

$PR = \sqrt{6,500}$

$PR = 80.6 yd$ (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0

3 years ago