Ask question

Ask question

All categories

2 years ago

15

A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many li

ters of lemon juice and yogurt are needed to make 11 cakes?

2 answers:

igor_vitrenko [27]2 years ago

7 0

We know that
1 liter------------> is equal to 1000 ml

if for one cake--------------> are required 80 milliliters of lemon juice
<span> for 11 cakes--------------> X
X=11*80---------> 880 ml

</span>if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml

<span>liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt

</span><span>liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt

the answer is
are needed 0.88 lt </span>of lemon juice and 2.64 lt of yogurt to make 11 cakes<span>

</span>

storchak [24]2 years ago

7 0

Answer: 3 liters 520 milliliters

Step-by-step explanation:

Total liquid amount:

80 ml + 240 ml = 320 milliliters

Total amount for 11 cakes:

320 milliliters × 11 = 3,520 milliliters

Total amount for 11 cakes conversion:

3,520 milliliters ÷ 1,000 = 3 remainder 520 = 3 liters 520 milliliters

You might be interested in

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 g

ELEN [110]

Answer:

The mass of the pipe is $465\ g$

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

$V=\pi [r2^{2}-r1^{2}]L$

we have

$r2=2/2=1\ cm$ ---> the radius is half the diameter

$r1=1.8/2=0.9\ cm$ ---> the radius is half the diameter

$L=100\ cm$

$\pi=3.14$

substitute

$V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}$

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

$m=7.8(59.66)=465\ g$

8 0

2 years ago

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,

sweet-ann [11.9K]

Answer:

a. $H_{0}:$ μ = $24.57

$H_{a}:$ μ ≠ $24.57

b. 0.12

c. we fail to reject the null hypothesis since p ≈0.12 > 0.05

d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96

Step-by-step explanation:

a)

$H_{0}:$ μ = $24.57

$H_{a}:$ μ ≠ $24.57

b)

To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis

z-score can be calculated as follows:

$\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X= $23.89
M is the mean value under null hypothesis ( $24.57)
s is the sample standard deviation ($2.40)
N is the sample size (30)

Putting the numbers in the formula we get

$\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }$ ≈ −1,5518

The corresponding p-value is <em>two tailed </em>and ≈ 0.12

c)

since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>

d)

Critical value for the 0.05 significance level in two tailed test is :

c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>

7 0

2 years ago

Macy plans to buy a TV during the Black Friday Sale. All TV's are advertised as 25% off of the original price, before tax. Which

snow_lady [41]

A because p+ 0.25p is the right answer

3 0

2 years ago

A charity is holding a benefit at an italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for

Paraphin [41]

$200 + {4 \times 46}$

4 0

2 years ago

Read 2 more answers