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kondaur [170]
2 years ago
13

What's the difference between numerical and algebraic expressions? How is the order of operations used to evaluate these express

ions?
Mathematics
1 answer:
Masja [62]2 years ago
5 0

a numerical expression is a mathematical statement involving only numbers and one or more operation symbols. and a algebraic expession is an expressions that includes at least one variable and at least one operation. Order of operation goes (), exponent, divison, multiplication, addtion and subratcion

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Barney is eight years older than Nemo. In seven years the sum of their ages will be 46. How old is Barney now?.
olga55 [171]
Let's represent Nemo's age with an n.

Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8

In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.

n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12

That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.

To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.
6 0
4 years ago
Fine the perimeter of this rectangle
frosja888 [35]

Answer:

(z) + (z) + (z-1) + (z-1) = 4z-2

Step-by-step explanation:

Perimeter is the sum of all the sides

6 0
3 years ago
A lightbulb has a power of 60 W and is used for 16 hours. A toaster oven has a power of 1500 W
krek1111 [17]

a. The lightbulb uses the energy of 960 W or 9.60 kW.

Step-by-step explanation:

Step 1:

To determine the energy used by the appliances we need to understand the equation

power = \frac{energy}{time} .

To determine the energy used, we multiply the power of the appliance with the amount of time it has been used for.

Step 2:

The lightbulb has a power of 60 W and is used for a period of 16 hours.

The energy used by the lightbulb = 60(16) = 960 W = 0.96 kW.

The toaster oven has a power of 1,500 W and is used for 0.75 hours.

The energy used by the toaster oven = 1,500(0.75) = 1,125 W = 1.125 kW.

6 0
4 years ago
Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD
julsineya [31]

Answer:

Segment AB || Segment CD

Step-by-step explanation:

Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.

Given: <1 ≅ <3, ΔACD is an isosceles triangle.

Proof: Segment AB || Segment CD

From the diagram given,

AC ≅ AD (side property of isosceles triangle)

<3 = <4 (base angle property of an isosceles triangle)

<1 = <4 (alternate angle property)

Therefore, segment AB is parallel to segment CD.

8 0
4 years ago
Point p’ is the image of P (-6,5) under a translation by 7 units down
Rasek [7]
When p is down 7 units you are just going to go up
6 0
4 years ago
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