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Serga [27]
3 years ago
9

Dimitri deposited 60% of his paycheck into a savings account be deposited $41.67 what was the total of his check

Mathematics
1 answer:
Ket [755]3 years ago
5 0
The amount of his paycheck is $69.45.
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Translate each verbal description into an algebraic expression. Then simplify
gogolik [260]

Answer:

(1/3)q  - (4/3) p - 5/9

Step-by-step explanation:

Step one

Write the fractional form of the givens

(1/3)(q + p)

(5/9)(3p + 1)

Step Two

Write out the expression

(1/3)(q + p) - (5/9)(3p + 1)          Remove the brackets

(1/3)q  + (1/3)p - (5/9)*3p - 5/9 Combine the 2 p terms

(1/3)q  + (1/3 - 15/9 )p - 5/9       Reduce 15/9 down to 5/3

(1/3)q  + (1/3 - 5/3)p - 5/9         Combine what is inside the brackets

(1/3)q  + ( - 4/3)p - 5/9              Bring out the minus sign

(1/3)q  - (4/3) p - 5/9                 This should be your answer.


7 0
3 years ago
The height of a rectangle, in which a= 10x^2 ft^2 base is 2x ft
Elena L [17]
Area of a rectangle = base x height
A = 10x² ft²
base = 2x ft

10x² = (2x) × (height)
divide both sides by 2x
5x = height

The height of the rectangle is 5x feet.
8 0
3 years ago
Please help!!<br> Everything is in the photo
Nutka1998 [239]
A) Pine Road and Oak Street form a right angle, so we can extract the relation

\tan30^\circ=\dfrac x{11\sqrt3}\implies\dfrac1{\sqrt3}=\dfrac x{11\sqrt3}\implies x=11

where x is the distance we want to find (bottom side of the rectangle).

Alternatively, we can use the other given angle by solving for x in

\tan60^\circ=\dfrac{11\sqrt3}x

but we'll find the same solution either way.

b) Pine Road and Oak Street form a right triangle, with Main Street as its hypotenuse. We can use the Pythagorean theorem to find how long it is.

(\text{Pine})^2+(\text{Oak})^2=(\text{Main})^2

Let y be the length of Main Street. Then

(11\sqrt3)^2+11^2=x^2\implies x^2=484\implies x=\pm22

but of course the distance has to be positive, so x=22.
8 0
3 years ago
Which percentage do i get if i have 1.34
qwelly [4]

Answer:

You'll get 134% based on m research


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
A car is traveling at a speed of 30 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the
Mandarinka [93]

Answer:

144.84

Step-by-step explanation:

3 0
3 years ago
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