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3 years ago

There are 68 calories in 1 serving of cereal. If a bowl holds 7 servings, how many calories are in the bowl?

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer:

476

Step-by-step explanation:

$68 \times 7 = 476$

because there are 68calories per serving and there are 7 servings

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Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10d + 0.05n = 5.25, where d represents the

barxatty [35]

<span>To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63

Sonji has 63 nickels.

Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.</span>

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3 years ago

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What is the slope of the line whose equation is y−4=5/2(x−2)?

postnew [5]

Answer:

$m=\dfrac{5}{2}$

Step-by-step explanation:

If the equation of the line is

$y=mx+b,$

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

$y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1$

Thus, the slope of the line is

$m=\dfrac{5}{2}$

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3 years ago

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When functions are defined by more than one equation, they are called?

BARSIC [14]

When functions are defined by more then one equation, they are called piecewise defined functions

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The volume of a cone is 16 pi cubic inches is is 12 inches what is the radius of the cone

Furkat [3]

Answer:

Step-by-step explanation:

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3 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

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3 years ago

There are 68 calories in 1 serving of cereal. If a bowl holds 7 ​servings, how many calories are in the​ bowl?

There are 68 calories in 1 serving of cereal. If a bowl holds 7 servings, how many calories are in the bowl?