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professor190 [17]
2 years ago
14

Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter befo

re he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional
Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation:

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vredina [299]

Answer:

idk im stuck too

Step-by-step explanation:

6 0
2 years ago
Find the amount accumulated after investing a principle P for T years at an interest rate compounded k times per year.
BartSMP [9]
1. 3500(1+ \frac{.05}{4}) ^{4*10}
3500(1+.0125) ^{40}
3500(1.64) = 5740

2. 25300(1+ \frac{.045}{12} ) ^{12*25}
25300(1+.00375) ^{300}
25300(3.07) = 77671

Hope that helps.  Feel free to ask any questions
8 0
3 years ago
In the construction of a right angle, how can 3 steps be used to create segment CD as a longer or shorter segment?
Katena32 [7]
<span>Without changing the opening of your compass, put the sharp end of your compass on point C and make an arc on the ray. Label the point where the arc intersects the ray point D. Segment CD is congruent to segment AB.</span>
5 0
3 years ago
The vertex of the parabola below is at the point (3,2) and the point (4,6) is on the parabola. What is the equation of the parab
nata0808 [166]

Answer:

\large\boxed{y=4(x-3)^2+2\ \bold{vertex\ form}}\\\boxed{y=4x^2-24x+38\ \bold{standard\ form}}

Step-by-step explanation:

The vertex form of a parabola:

y=a(x-h)^2+k

(h, k) - vertex

We have the vertex at (3, 2) → h = 3 and k = 2.

Substitute:

y=a(x-3)^2+2

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:

6=a(4-3)^2+2       <em>subtract 2 from both sides</em>

6-2=a(1)^2+2-2

4=a\to a=4

Finally:

y=4(x-3)^2+2          <em>vertex form</em>

<em>use (a - b)² = a² - 2ab + b²</em>

y=4(x^2-6x+9)+2          <em>use the distributive property</em>

y=4x^2-24x+36+2

y=4x^2-24x+38             <em>standard form</em>

6 0
3 years ago
One number is four times another number. The sum of their reciprocals is 1/4 . What is the answer
Yakvenalex [24]
Using the information from the question, one can construct two equations:

4 z = x  ...  (1)

\frac{1}{z}  +   \frac{1}{x}   ... (2)

by substituting (1) into (2) to find x

\frac{1}{z} +  \frac{1}{4z}  =   \frac{1}{4}

\frac{5}{4z}  =   \frac{1}{4}

\frac{5}{4z}  =   \frac{1}{4}  

\frac{4z}{5}  =   \frac{4}{1}

\frac{4z}{1}  =   \frac{20}{1}

z =   \frac{20}{4}

⇒ z = 5

By substituting value of z into (1)

⇒ 4 (5) = x

⇒ x = 20

Thus the two numbers are 5 & 20 



4 0
3 years ago
Read 2 more answers
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