Which operation should be performed last in this problem: 32 + 7 x 4? Why?

Mathematics

2 answers:

Mandarinka [93]3 years ago

7 0

Answer:

Addition should be performed last, because of PEMDAS.

Step-by-step explanation:

in pemdas multiply/divide comes before add/subtract so therefore you would multiply 7 x 4 first, even though addition comes before it in the problem.

Viefleur [7K]3 years ago

3 0

Addition because of order of operations (PEMDAS)

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Sophia expects the number of cows, C C, on her farm t t years from now to be modeled by the function C ( t ) = 3 0 ( 2 ) C(t)=30

topjm [15]

Answer:

The expression is given as:

$H(t)=C(t)\times F(t)=240\times 3^t$ .

Step-by-step explanation:

Sophia expects the number of cows, C, on her farm t years from now to be modeled by the function:

$C( t ) = 30\times (2)^t$

Additionally, she expects the supply of hay, F, in tons, that her crops can provide for each cow t years from now to be modeled by the function

$F( t ) =8\times (1.5)^t$

Let H be the total yearly amount of hay produced in Sophia's farm (in tons) t years from now.

Total amount of Hay produced in sophia's farm= Number of cows in farm×Amount of hay required for each cow.

i.e. H(t)=C(t)×F(t)

$H(t)=30\times 8\times (2)^t\times (1.5)^t$

and we know that $a^x\times b^x=(a\times b)^x=(ab)^x$

Hence, $H(t)=240\times (2\times 1.5)^t\\\\H(t)=240\times 3^t$ .

Hence, the hay produced on Sophia's farm is used exclusively to feed her cows i.e. we need to write the formula of H ( t ) in terms of C(t) and F (t) is:

$H(t)=C(t)\times F(t)=240\times 3^t$ .

8 0

3 years ago

Line p is parallel to line q. if the measure of angle 3 is 54°, what is the measure of angle 6

Free_Kalibri [48]

Answer:

$m\angle 6=54^o$

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called <em><u>Alternate Interior Angles</u></em>.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

$m\angle 6=m\angle 3$ ---> by alternate interior angles