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kondor19780726 [428]
3 years ago
5

3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks ar

e in the store
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

There are total 96 shirts out of which  72 are black and  12 are white and 12 are red.

Step-by-step explanation:

Let the total number of shirts be x.

Then 3/4= 0.75 shirts are black

50% or 50/100 =0.5  of 1/4 ( 1-3/4) remaining are white

and 12 are red

x= 0.75x+0.125x+12

x= 0.875x+ 12

x-0.875x= 12

0.125x= 12

x= 12/0.125

x= 96

There are total 96 shirts out of which 3/4 are black

96*0.75= 72 are black and

96*0.25= 24  are left behind out of which 50% are white.

12 are white and 12 are red.

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Tresset [83]

Answer:

the 19th term of the arithmetic sequence is 73.

Step-by-step explanation:

Given:

The arithmetic sequence whose common difference is

d=4

And first term is

a=1

Find the 19th term of the arithmetic sequence

n=19

Now we know that,

a_{n}=a+(n-1)d

Put all the value in above AP.

a_{19}= 1+(19-1)4

a_{19}= 1+18\times 4

a_{19}= 1+72

a_{19}= 73

So, 19_{th} term of the sequence is 73.

3 0
3 years ago
Factorise <br> Xsquared+7x+12<br> Please help x
mart [117]
The factored form would be (x+3)(x+4) since 4*3 = 12 and 4+3 = 7
7 0
4 years ago
Katy is older than Alex and Beth. Sarn is
Sholpan [36]
This would be Delores because it goes katy, Delores, Alex, Sam, Beth
8 0
3 years ago
5. Adriana gives half of her t-shirts to charity. Then
fenix001 [56]
I believe 22. Because 11+3=14, but without that, you would add 11 to 11, which gives you 22
5 0
2 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
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