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3 years ago

Simplify the expression by combining like terms.2x + 4y + 6 + 2y - 5 + 3x

Mathematics

1 answer:

zlopas [31]3 years ago

7 0

Answer:

Step-by-step explanation:

Here is the workings

2x+4y+6+2y-5+3x combine like terms

2x+3x+4y+2y+6-5

Step 2

2x+3x+4y+2y+6-5 Add the similar exponents

5x+4y+2y+6-5

5x+6y+6-5

Step 3

5x+6y+6-5 Add and subtract

Your answer would be 5x+6y+1

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Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?

Xelga [282]

Answer:

$4,500.

Step-by-step explanation:

1 year and 6 months is 18 months, so 250 times 18 is 4,500.

7 0

4 years ago

Read 2 more answers

Convert the angle \theta=\dfrac{8\pi}{9}θ=

Nikolay [14]

Answer:

$160^\circ$ is the degrees value of $\theta = \dfrac{8 \pi}{9}$ .

Step-by-step explanation:

We are given the following details about the angle $\theta$ :

$\theta =\dfrac{8\pi}{9}\text{ radians}$

It is know that the relation between radians and degree units is as follows:

$\pi \text{ radians} = 180 ^\circ$

We can use simply use unitary method to convert radian value of $\theta$ to degrees.

$\pi \text{ radians} = 180 ^\circ$

$\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ$

$\Rightarrow \dfrac{8\pi}{9} \text{ radians} = \dfrac{180}{\pi} \times \dfrac{8\pi}{9} ^\circ\\\Rightarrow \dfrac{180 \times 8}{9}^\circ\\\Rightarrow 20 \times 8^\circ\\\Rightarrow 160 ^\circ$

Hence, $\theta = 160^\circ$

8 0

3 years ago

Dominic had a gross paycheck of $600, 25% of his paycheck was deducted for taxes, then $100 was taken out for insurance. How muc

ehidna [41]

ANSWER: 350

25% of 600 is 150

Now you have 450

450-100=350

So the answer is 350

7 0

3 years ago

A whatjapanthinks.com survey asked residents of Japan to name their favorite pizza topping. The possible responses included the

grin007 [14]

Answer:

See Explanation

Step-by-step explanation:

Solving (a):

First, we categorize each data (to get their frequencies):

PI PI PI PI PI PI PI PI PI ---> Frequency: 9

S S S S S S S S---> Frequency: 8

V V V V V V V V V V V V V ---> Frequency: 13

PO PO PO---> Frequency: 3

B ---> Frequency: 1

C C ---> Frequency: 2

Total = 36.

The frequency table is as follows:

$\begin{array}{cc}{Pizza\ Topping} & {Frequency} & {Beacon\ or\ Ham} & {9} & {Seafood} & {8} \ \\ {Vegetable\ and Fruit} & {13} & {Poultry} & {3} & {Beef} & {1} & {Cheese} & {2}\ \end{array}$

Solving (b): The relative frequency and percentage.

Relative frequency is calculated by dividing each frequency by the total frequency.

So, we have:

${Beacon\ or\ Ham} = \frac{9}{36} =0.250$

$Seafood = \frac{8}{36} =0.222$