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Rama09 [41]
3 years ago
8

Solve x-2y=4 for y in terms of x

Mathematics
1 answer:
vazorg [7]3 years ago
3 0
Y= 1/2x-2
sybtract x from left to right
divide both side by -2
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James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?
Tpy6a [65]
Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.
7 0
3 years ago
Helppppppp mathhhhhhhh
aivan3 [116]
Again using the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths.  You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:

34^2=16^2+y^2

y^2=34^2-16^2

y^2=1156-256

y^2=900

y=√900

y=30 ft

So the ladder will reach a spot 30 feet high on the building. 
8 0
3 years ago
Riley invested $1,000 in savings bonds. If bonds earn 6.75% interest compounded semi-annually, how much will riley earn in 15 ye
lara31 [8.8K]

Answer:

$2,706.86

Step-by-step explanation:

8 0
2 years ago
Find the area of the figure.
SpyIntel [72]

Answer:

the length is 3

Step-by-step explanation:

length times 6 equals 2

6 divided by 2 equals 3

5 0
3 years ago
1.John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in. One day, his sink
Vlad [161]

Answer:

\large\boxed{\large\boxed{85cups}}

Explanation:

<u>1. Volume of a cup</u>

The shape of the cup is a cylinder. The volume of a cylinder is:

       \text{Volume of a cylinder}=\pi \times (radius)^2\times height

The diameter fo the cup is half the diameter: 2in/2 = 1in.

Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:

         \text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3

<u>2. Volume of the sink:</u>

The volume of the sink is 1072in³ (note the units is in³ and not in).

<u>3. Divide the volume of the sink by the volume of the cup.</u>

This gives the number of cups that contain a volume equal to the volume of the sink:

          \dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups

8 0
3 years ago
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