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3 years ago

13

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's bagg

age is 35 kg. Write an equation to determine the weight, (w), of each of Carl's checked bags.

1 answer:

slava [35]3 years ago

7 0

(35 - 4) / 2 = w
35 is total weight
4 is backpack
2 is the number of bags

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Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so

Fofino [41]

Answer:

33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .

25% is the percent of the total amount Tom caught.

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

Part First

As given

Tom caught 4 fish and his son caught 12 fish.

Here

Part value = 4

Total value = 12

Put in the formula

$Percentage = \frac{4\times 100}{12}$

$Percentage = \frac{400}{12}$

Percentage = 33.3 % (Approx)

Therefore the 33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .

Second Part

As given

Tom caught 4 fish and his son caught 12 fish.

Total number of fish caught = 4 + 12

= 16

Part value = 4

Total value = 16

Put in the formula

$Percentage = \frac{4\times 100}{16}$

$Percentage = \frac{400}{16}$

Percentage = 25%

Therefore the 25% is the percent of the total amount Tom caught.

8 0

3 years ago

To complete the music program, a student must present

Vladimir [108]

To complete the music program, a student must present one vocal performance, one instrumental performance, and compose one original work.

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One independent clause and at least one dependent clause connected by subordinating conjunction make up a complex sentence. One of the four fundamental forms of sentences in the English language is complex sentences.

Complex sentences need a minimum of three components:

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8 0

2 years ago

solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of Albert Einstein, "Everything

vova2212 [387]

a.

$XA^{-1}=A^3$

$(XA^{-1})A=A^3A$

$X(A^{-1}A)=A^4$

$X=A^4$

b.

$AXB=(BA)^2$

$A^{-1}(AXB)B^{-1}=A^{-1}(BA)^2B^{-1}$

$(A^{-1}A)X(BB^{-1})=A^{-1}(BA)^2B^{-1}$

$X=A^{-1}(BA)^2B^{-1}$

c.

$(A^{-1}X)^{-1}=(AB^{-1})^{-1}(AB^2)$

$X^{-1}A=(BA^{-1})(AB^2)$

$X^{-1}A=B(A^{-1}A)B^2$

$X^{-1}A=B^3$

$(XX^{-1})A=XB^3$

$XB^3=A$

$X(B^3(B^3)^{-1})=A(B^3)^{-1}$

$X=A(B^3)^{-1}$

d. Not totally sure what the equation is supposed to be, but I guess it's

$ABXA^{-1}B^{-1}=A$

$ABX(BA)^{-1}=A$

$((AB)^{-1}(AB))X((BA)^{-1}(BA))=(AB)^{-1}A(BA)$

$X=(AB)^{-1}A(BA)$

$X=(B^{-1}A^{-1})A(BA)$

$X=B^{-1}(A^{-1}A)(BA)$

$X=(B^{-1}B)A$

$X=A$

7 0

4 years ago

Which two numbers does the square root of 180 between

Whitepunk [10]

I remember that the square of 12 is 144.
Let's work up from there to the squares that 180 lies between.

Keep in mind that squares are when a number multiplies by itself.

For example;
10^2 means 10 • 10, which makes the product of 100.

12^2 = 144
13^2 = 169
14^2 = 196

Well, we have 169 and 196, which 180 lies between.

Your answers are:

13 and 14.

I hope this helps!

4 0

3 years ago

PLS HELP, this is due today. thank u.

Aleks04 [339]

The answer is would be 67.5

8 0

3 years ago

Read 2 more answers