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Zigmanuir [339]
3 years ago
8

Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each

week. After how many weeks will their savings accounts have the same amount of money in them? *
Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

Step-by-step explanation:

Hayley: y = 10x + 155

Hank: y = -15x + 230

10x + 155 = -15x + 230

25x + 155 = 230

25x = 75

x = 3 weeks

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The formula for the volume V Of a cone has the radius r and the height h is shown below.
Allushta [10]

Answer:

H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !

Hope this helps

3 0
3 years ago
The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
7 1/5 x 2/9 in simplest form
Alecsey [184]

Your answer simplified should be 1.6 or 1 3/5


=)

3 0
3 years ago
A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?
zepelin [54]

Answer:

(11\frac{1}{3},20)

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40

N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600

Thus, the rate of change of sales N'(x) is increasing in the interval (11\frac{1}{3},20) on 10≤x≤40.

7 0
3 years ago
In circle o, mZWBY = 72°.
likoan [24]

Answer:

Answer is B. 36 degrees

Step-by-step explanation:

From the diagram,

angle WBY = 2 × angle WXY

angle WBY = 72°

angle WXY =

\frac{angle \: WBY}{2}

=  \frac{72}{2}

= 36 \: degrees

7 0
3 years ago
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