All categories

3 years ago

Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

Answer:

For this case we can apply the following proportional rule:

Step-by-step explanation:

1/7 nuts. x

------------ = ----------

1/5 cake. cake

and solving for x we got:

x = 1/7

------- = 5/7 nuts

1/5

then the answer for this case would be 5/7 nuts

your welcome

You might be interested in

Calcula el perímetro (P) y área (A) del la siguiente figura

Dafna11 [192]

Are the link help us I search but they didn’t help

3 0

3 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

3 years ago

Find each product or quotient. Use significant digits. 1,370 m 31.7 s

Dvinal [7]

I think you are asking for the quotient of the numbers because base from the choices the units are meters per second and the given has units of meters and seconds. So, the quotient of the numbers is 43.218 meters per second which is option B.

8 0

3 years ago

Mary’s coffee shop borrowed $9,850 for new chairs and tables. The money was borrowed for 9 months at 9 ¼ % discounted rate, what

Greeley [361]

Let
M---------------> money borrowed -------------> $9,850
r--------------> discounted rate--------> 9 ¼=9.25-------> 0.0925
t---------------> time--------> 9 months=9*30=270 days
D-------------> amount of the discount

we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34

the answer is $683.34

6 0

3 years ago

Terri and Donna both sell crafts at two different craft shows each weekend. Terri is charged a 5% commission on the amount of mo

harina [27]

Answer:

T = 0.05x + 35

D = 0.03x + 55

Step-by-step explanation:

i) On the last weekend in November both Terri and Donna earned from sales the amount of x.

ii) Terri pays the amount T = 0.05x + 35

iii) Donna pays the amount D = 0.03x + 55

5 0

3 years ago