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3 years ago

Convert 142 base four to base ten

Mathematics

1 answer:

liraira [26]3 years ago

8 0

$142_4=1\times4^2+4\times4^1+2\times4^0=16+16+2=34_{10}$

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A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res

Brums [2.3K]

(1073 + 1108 + x) / 3 = 1000
(2181 + x) / 3 = 1000 ....multiply both sides by 3
2181 + x = 1000 * 3
2181 + x = 3000
x = 3000 - 2181
x = 819 <== they would need to earn $ 819 on Sunday

8 0

2 years ago

Which expressions are equivalent to − 56 z + 28 −56z+28minus, 56, z, plus, 28? Choose 2 answers: Choose 2 answers: (Choice A) A

Dmitrij [34]

Answer:

$(D)-2(28z-14) \: and\:\\(E) -7(8z-4)$

Step-by-step explanation:

We are to determine which of these expressions are equivalent to: $-56 z + 28$

$(A)\frac{1}{2}\cdot(-28z+14) \\(B)(-1.4z+0.7)40\\(C)(14-7z)\cdot(-4)\\(D)(8z-4)(-7)\\(E)-2(-28z-14)$

$-56 z + 28$

If we factor out -2

$-56 z + 28=-2(\frac{ -56 z}{-2} + \frac{28}{-2})=-2(28z-14)$

If we factor out -7

$-56 z + 28=-7(\frac{ -56 z}{-7} + \frac{28}{-7})=-7(8z-4)$

Therefore, the two equivalent expressions are:

$-2(28z-14) \: and\: -7(8z-4)$

5 0

2 years ago

Ashley bought 14 rainbow and balloon stickers for her little sister. The rainbow stickers cost 6 cents apiece and the balloon st

Morgarella [4.7K]

Answer:

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

Step-by-step explanation:

Let the number of rainbow sticker be x and number of balloon stickers be y.

Cost a single rainbow sticker= 6 cents

Cost a single balloon sticker= 4 cents

Cost a single x rainbow sticker= 6 cents × x

Cost a single y balloon sticker= 4 cents × y

Total number of stickers bought = 14

x + y =14 ..[1]

Total money spend on stickers = 68 cents

6x cents+4y cents=68 cents

$6x+4y=68$ ...[2]

Putting value of from [1] into [2];

x = 14 - y

$6(14-y)+ 4y=68$

$84-6y+4y=68$

$-2y=-16$

$y=\frac{-16}{-2}=8$

x = 14 -y =14 - 8 = 6

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

3 0

3 years ago

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liq [111]

Answer:

Step-by-step explanation:

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2 years ago

Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute

Paraphin [41]

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

6 0

2 years ago