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3 years ago

За + 4a = -21 Solve the problem

Mathematics

1 answer:

Serga [27]3 years ago

6 0

Answer:

a = -3

Step-by-step explanation:

3a + 4a = -21

3a + 4a = 7a

7a = -21 Divide both side with 7

-21 / 7 = -3

a = -3

To make it true...

3(-3) + 4(-3) =

-9 + (-12) = -21

-21 = -21

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What is the measure of arc WXY

bonufazy [111]

Answer:

152°

Step-by-step explanation:

Let P be any point on tangent $\overleftrightarrow{YZ}$ and WY is secant or chord of the $\odot J$ .

$\therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\\therefore 104° + m\angle WYP = 180°\\\therefore m\angle WYP = 180°- 104° \\\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\$

NOW, by tangent secant theorem:

$m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\76°\times 2 =m( \widehat{WXY}) \\\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}}$

8 0

3 years ago

A book is 6 inches wide and 9 inches tall.

Makovka662 [10]

Answer:

Step-by-step explanation:

Leave the 2.5 out

Multiply 9 × 6

So.....9 × 6 = 54

So the area will be 54 of the front of the book after the book is enlarged.

Hope this helps!

4 0

3 years ago

Fator by grouping ab+2a+5b+10

Alenkasestr [34]

Ab + 2a + 5b + 10

= a(b + 2) + 5(b + 2)

= (b + 2) (a + 5)

3 0

3 years ago

A theater rents their space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets t

vitfil [10]

Answer:

Company needs to sell at least 34 tickets in order to make a profit.

Step-by-step explanation:

Given:

Rent for the space = $300

Cost per tickets = $9

Let the number of tickets sold be 'x'

We need to find the least number of tickets to be sold to make profit

Now total profit can be made if amount which is made after selling number of tickets is greater than 300.

Hence the equation can be framed as,

$9x\geq300$

Solving the equation to find the value of x we get;

We will use Division property and divide both side by 9 we get;

$\frac{9x}{9}\geq\frac{300}{9}\\\\x\geq33.33$

Tickets which need to be sell cannot be in point value hence rounding to whole number we get;

$x\geq34$

Hence Company needs to sell at least 34 tickets in order to make a profit.

6 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

Vlad [161]

Answer

$P(A) = 0.30$

$P(B) = 0.77$

$P(A\ n\ B) = 0.22$

$P(A\ u\ B) = 0.85$

Explanation:

Given

See attachment for proper data presentation

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

$Yes = 22$ and $No = 8$

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

$P(A) = 0.30$

Solving (b): P(B)

We only consider data in the Yes column.

Here:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

$P(B) = 0.77$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ n\ B) = 0.22$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

$P(A\ u\ B) = 0.85$

7 0

3 years ago