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Firlakuza [10]
3 years ago
12

Doris made 80 cookies this week. She baked 4 less than three times the total she made last week. Which equation, when solved for

x, gives the number of cookies she baked last week?
Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

The equation is  3x-4=80

The value of x is 28 cookies

Step-by-step explanation:

Let

x ---->  the number of cookies she baked last week

we know that

The number of cookies she baked last week multiplied by 3 minus 4 must be equal to 80 cookies

so

The linear equation that represent this situation is

3x-4=80

solve for x

3x=80+4\\3x=84\\x=28\ cookies

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A rubber ball is dropped onto a hard surface from a height of 9 feet, and it bounces up and down. At each bounce it rises to 80%
8_murik_8 [283]
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is: h(n) = 108 * 0.8^n. To find the bounce height after 10 bounces, substitute n=10 into the equation: h(n) = 108 * 0.8^10 = 11.60in (2.d.p.). Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x: 108 * 0.8^x = 1; 0.8^x = 1/108; Ln(0.8^x) = ln(1/108); xln(0.8) = ln(1\108); x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
4 0
3 years ago
Determine the factors of the expression x^2 - 9
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:


The answer is B.


Use the sum-product pattern


2+3−3−9



Common factor from the two pairs


2+3−3−9x2+3x−3x−9


(+3)−3(+3)

Rewrite in factored form


(+3)−3(+3)


Solution:

(−3)(+3)

‘Hope it Helps!

5 0
2 years ago
I need some help please
Nataliya [291]

Answer:

25π

Step-by-step explanation:

4 0
3 years ago
Question 32 of 40<br> The ratio<br> opposite<br> hypotenuse<br> describes which function?
Helen [10]

The ratio \frac{Opposite}{Hypotenuse } describes the Sine function . The correct option is C. Sine

<h3>Trigonometry </h3>

From the question, we are to determine the function that the ratio of <em>opposite </em>to <em>hypotenuse </em>describes

By SOH CAH TOA

We have that

Sine = \frac{Opposite}{Hypotenuse }

Cosine = \frac{Adjacent}{Hypotenuse }

and

Tangent = \frac{Opposite}{Adjacent}

Hence, the ratio \frac{Opposite}{Hypotenuse } describes the Sine function . The correct option is C. Sine

Learn more on Trigonometry here: brainly.com/question/956353

#SPJ1

5 0
2 years ago
ef<br>gh<br>A. dº + fº = 180° B. gº + fº =<br>C. Cº + f 0 = 180° D. bº + 0 =<br>The circumference of a circle is 88c<br>Calculat
Solnce55 [7]

About 28cm

circumference of a circle =radius×3.14

3.14÷circumference of the circle (88cm)=28.04.

About 28cm.

8 0
3 years ago
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