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2 years ago

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Sandy is ordering bread rolls for her party. She wants 3/5 of the rolls to be whole wheat. What other fractions can represent th

e part of the rolls that will be whole wheat?

1 answer:

Vsevolod [243]2 years ago

7 0

9/15 rolls would be wheat

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Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut

wel

(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
<span>0.10x + 0.15(50 – x) = 0.12(50)
0.10x - 0.15x + 7.5 = 6
-0.05x + 7.5 = 6
7.5 - 6 = 0.05x
1.5 = 0.05x
1.5/0.05 = x
30 mL = x

Then the 15% solution: 50 - 30 = 20 mL

</span>

7 0

2 years ago

Read 2 more answers

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

Viktor [21]

Answer:

Therefore $k= \frac{ln2 }{18}$ , A=184

Step-by-step explanation:

Given function is

$T(t)=230 -e^{-kt}$

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

$138=230 -Ae^{-k\times 18}$

$\Rightarrow -Ae^{-18k}=138-230$

$\Rightarrow Ae^{-18k}=92$ .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

$184=230-Ae^{-k\times 36}$

$\Rightarrow Ae^{-36k}=230-184$

$\Rightarrow Ae^{-36k}=46$ .......(2)

Dividing (2) by (1)

$\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}$

$\Rightarrow e^{-18k}=\frac{46}{92}$

Taking ln both sides

$ln e^{-18k}=ln\frac{46}{92}$

$\Rightarrow -18k =ln (\frac12)$

$\Rightarrow -18k= ln1-ln2$

$\Rightarrow k= \frac{ln2 }{18}$

Putting the value k in equation (1)

$Ae^{-18\frac{ln2}{18}}=92$

$\Rightarrow A e^{ln2^{-1}}=92$

$\Rightarrow A.2^{-1}=92$

$\Rightarrow \frac{A}{2}=92$

$\Rightarrow A= 92 \times 2$

⇒A= 184.

Therefore $k= \frac{ln2 }{18}$ , A=184

7 0

2 years ago

The original price p of an item less a discount of 15%

Snowcat [4.5K]

P-.15p this is the expression for cost after discount

and its just .15p for just the discount

7 0

2 years ago

Read 2 more answers

Sin(11∘)cos(19∘)+cos(11∘)sin(19∘)

sergij07 [2.7K]

Recall that:

sin(A + B) = sinAcosB + cosAsinB

Therefore:

sin11°cos19° + cos11°sin19° = sin(11° + 19°)

= sin30° = 0.5

I hope this explains it.

3 0

2 years ago

The expression P(z<1.00)= represents the area under the standard normal curve below a given value of z. Use your standard nor

Ganezh [65]

Answer:

The value of P(z<1.00)=0.8413

Step-by-step explanation:

Using a standard normal table, the area under the standard normal curve below the given value of z=1 is:

z <u> .00</u> .01

0.9 0.81594 0.81859

<u>1.0</u> <u>0.84134</u> 0.84375

1.1 0.86433 0.86650

P(z<1.00)=0.84134

Rounded to 4 decimal paces

P(z<1.00)=0.8413

5 0

2 years ago