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Norma-Jean [14]
3 years ago
10

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes

(t) and the number of days (d) Jamie has practiced?
d = 45t

d = 45 + t

t = 45d

t = 45 + d
Mathematics
2 answers:
timama [110]3 years ago
8 0
The answer is: t=45d.
stiv31 [10]3 years ago
7 0
T=45d minutes= 45minutes by how many days
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Write a recursive definition for the sequence 14, 10, 6, 2...
VladimirAG [237]
The general form of recursive definition for arithmetic sequence:
a_{n}=a_{1}+d(n-1)

So, what we need to do is to find a_{1} and d.
a_{1}=14
d=a_{2}-a_{1}=10-14=-4
Having found these two values we can now define our recursive sequence:
a_{n}=14-4(n-1)
a_{n}=14-4n+4
a_{n}=18-4n
7 0
3 years ago
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Item 6 Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last
tester [92]

Answer:

$8.40

Step-by-step explanation:

We can write a proportion to find the total amount last year using the information given. A proportion is two equivalent ratios set equal to each other.

\frac{125}{100}=\frac{10.50}{y}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

125(y)=100(10.50)

125y=1050

y=8.40


7 0
3 years ago
Point J(-2, 1) and point K(4, 5) form the line segment jk. for the point p that partitions jk in the ratio 3:7 what is the y coo
kumpel [21]

Answer:

\frac{11}{5}

Step-by-step explanation:

Using the section formula

y_{P} = \frac{3(5)+7(1)}{3+7} = \frac{15+7}{10} = \frac{22}{10} = \frac{11}{5}

7 0
3 years ago
Find the surface area of the following figure.
fgiga [73]

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

6 0
2 years ago
Logariths, please help​
Valentin [98]

Answer:

<em>{ - 2 , 8 } </em>

Step-by-step explanation:

log_{4} ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ x_{1} = - 2 , x_{2} = 8

<em>{ - 2 , 8 }</em>

3 0
2 years ago
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