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Usimov [2.4K]
3 years ago
12

A builder needed to buy four hundred fourteen boards for his latest project. If the boards he

Mathematics
2 answers:
allochka39001 [22]3 years ago
3 0

Answer:

21

Step-by-step explanation:

77julia77 [94]3 years ago
3 0

Answer:

21 packages

Step-by-step explanation:

divide 414 from 20 to get 20.7, but the builder needs an exact number of packages to complete the build so you would round up to 21 packages

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The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10
Olenka [21]

The price of a senior citizen ticket  is $8 and the price of a student ticket is$ 10

Step-by-step explanation:

Let the cost of one  seniors citizen ticket be x and  student  be y

First day:

10 seniors citizen tickets and 11 student for a total of $190.

10x + 11y = 190-----------------------------(1)

Second day:

$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.

5x + 12y = 160---------------------------------(2)

Multiply eq(2) by 2

10x + 24y = 320----------------------------(3)

Subtract eq(1) from (3)

10x + 24y = 320

10x + 11y = 190

-----------------------------

0x + 13 y =  130

---------------------------

13y = 130

y = \frac{130}{13}

y = 10-------------------------------(4)

Substituting (4) in (2)

5x +  12(10) =  160

5x + 120 = 160

5x = 160-120

5x = 40

x = \frac{40}{5}

x = 8

5 0
3 years ago
For each reaction between a ketone and an amine, draw the curved arrow(s) to show the first step of the mechanism, then draw the
Ray Of Light [21]

Answer:

Step-by-step explanation:

Aromatic amine is generally less nucleophilic than aliphatic amine because of the aromatic delocalisation of the lone pair. Ketones are also less reactive compared to aldehyde and Reaction between aromatic amine and aromatic ketone is possible leading to the formation of Schiff's base in aqeous ethanoic solution.

6 0
2 years ago
The equation |2x – 12|= 10 has two solutions.<br> The sum of those two solutions is
zlopas [31]

Answer:

-5 and +5

Step-by-step explanation:

add twelve to both sides

New equations: 2x= -+10

Divide by 2 on both sides

x=-5, +5

3 0
3 years ago
Read 2 more answers
12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely
AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 6 a b^{2}(a+2)(2 a-1)

<u>Solution:</u>

Given, expression is 12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

We have to factorize the given expression completely.

Now, take the expression

12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

Taking b^2 as common term,

b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)

Taking "a" as common term,

b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)

Taking "6" as common term,

b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)

Splitting "3a" as "4a - a" we get,

b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)

\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}

Hence, the factored form of given expression is 6 a b^{2}(a+2)(2 a-1)

4 0
3 years ago
What is the distance between (9,5) and (-2,2)
nikitadnepr [17]

Answer:

10 units

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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