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2 years ago

12

Carlo was baking cupcakes. The recipe called for 1.5 cups of sugar to make 24 cupcakes. How many cups of sugar will he need to m

ake 12 cupcakes? What type of relationship is this?

1 answer:

IceJOKER [234]2 years ago

3 0

Answer:0.75

Step-by-step explanation:12 is half of 24

Answer should be be half of 1.5

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Here is a square and some regular octagons.

Digiron [165]

Answer:135 degrees

Step-by-step explanation: Because a octagon equals 1080 and since there are eight sides you divide it by 8 and get 135

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3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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3 years ago

Two spinners are shown. Look at the spinners as you respond to the statements below.

spayn [35]

Answer:
A. false
B. true
C. true
D. false
step-by-step:
A: probability of spinning a 4 on spinner A is 1/4 and probability of spinning a 4 on spinner B is 1/3.
B: there are 2 fours out of 6 possible options so that makes it 2/6, simplify that, it becomes 1/3.
C: 2 and 4 are even numbers so that makes 2/4 possible on spinner A. simplify 2/4 and that becomes 1/2.
D. spinning a 3 on spinner A would make it 1/4 (already simplified). spinning a 3 on spinner B would make it 1/6 (already simplified) therefore spinner A is greater.

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3 years ago

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PLS ANSWER WILL MARK BRAINLIST

andreyandreev [35.5K]

Answer:

72 degrees

Step-by-step explanation:

Slope

y=-(7/8)x+105

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72=-(7/8)x+105

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3 years ago

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Iteru [2.4K]

Answer:

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Step-by-step explanation:

Given,

Total population = 20,000 people

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Radius of the circle town

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$r = 3.64\ km$

Hence, the radius of circle town is equal to 3.64 Km.

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3 years ago

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