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3 years ago

8

Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to

find x, the number of teaspoons of baking soda needed for 9 cups of sugar?

2 answers:

EastWind [94]3 years ago

7 0

Answer: its c. y =2/3x

Step-by-step explanation:

Natali5045456 [20]3 years ago

6 0

Answer:

6 teaspoons

Step-by-step explanation:

PLz brainliest,Hope I could help

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find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive

wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

n = number of terms,
a = first term and
d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0

2 years ago

A street sign is 83 inches tall. how tall is it in feet and inches?

Klio2033 [76]

83/12 = 6 remainder 11 = 6ft. 11in.

8 0

3 years ago

Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x

ozzi

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

h = height of cone = 10 cm

r = radius of cone/sphere = ??

Volume of cone = 270 pi cm³

Volume of cone is :

$\qquad \sf \dashrightarrow \:v = 270 \pi$

$\qquad \sf \dashrightarrow \: \dfrac{1}{3} \cancel\pi {r}^{2} h = 270 \cancel\pi$

$\qquad \sf \dashrightarrow \:r {}^{2} \sdot10 = 270 \times 3$

$\qquad \sf \dashrightarrow \: {r}^{2} = 810 \div 10$

$\qquad \sf \dashrightarrow \: { {r}^{2} }^{} = 81$

$\qquad \sf \dashrightarrow \:r = \sqrt{81}$

$\qquad \sf \dashrightarrow \:r = 9 \: \: cm$

Now, let's calculate volume of solid sphere with same radius is ~

$\qquad \sf \dashrightarrow \:vol = \dfrac{4}{3} \pi {r}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot {9}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot 729$

$\qquad \sf \dashrightarrow \:vol = {4} {} \sdot243 \sdot\pi$

$\qquad \sf \dashrightarrow \:vol = 97 2\pi \: \: {cm}^{3}$

So, volume of the solid sphere in terms of pi is :

972 pi cm³

<u>note</u> : the solid figure attached below the cone is a hemisphere, so if the volume of hemisphere is asked then just dovide the result for sphere by 2. that is :

972pi / 2 = 486 pi cm³

4 0

2 years ago

(-7x)(-6x)(-23x) value of x interior angle

Hunter-Best [27]

You answer is going to be -966x^3

6 0

3 years ago

Read 2 more answers

A tree 5 feet tall grows an average of 8 inches each year. Write and graph an equation to model the tree's height h after x year

Stolb23 [73]

Okay my example will be for if you watched that tree for like 5 years and I can`t really put in a graph here so sorry about that

The equation is basically the original height, 5 foot, and multiply it by the number of years you`ve been watching it grow for example when you watch it for 6 years then it will be the original height of 5 foot multiplied by the number years it has been since you look at it which is 6 years. 5 * 6 = 30 so after 6 years it will grow 30 inches.
1st year: 5 foot
2nd year: 5 foot * 2 = 10 inch increase in height
3rd year: 5 foot * 3 = 15 inch increase in height
4th year: 5 foot * 4 = 20 inch increase in height
5th year: 5 foot * 5 = 25 inch increase in height
So basically the equation is 5 foot * the number of years its been = total increase in height

I hope this helps

3 0

3 years ago