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kap26 [50]
2 years ago
14

What’s the solution of x+y=29 and y=4x-11

Mathematics
1 answer:
tia_tia [17]2 years ago
6 0

Answer:

x = 8

y = 21

Step-by-step explanation:

y = 4x − 11

x + y = 29

Solve for x:

x + y = 29

x + 4x − 11 = 29

5x − 11 = 29

5x = 40

x = 8

Solve for y:

y = 4x − 11

y = 4 × 8 − 11

y = 21

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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the bas
julia-pushkina [17]

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

x² = 1176 × 3/2

x² = 1764

x = ✓1764

x = 42

The length is 42 feet

6 0
3 years ago
Can someone please help me with this?
GrogVix [38]
The circumference of a circle with radius r is 2\pi r. If the length of the radius is tripled, then the circumference becomes 2\pi(3r)=3\cdot2\pi r, which is just 3 times the original circle's circumference.
4 0
3 years ago
Fencing encloses a rectangular backyard that measures 300 feet by 600 feet. A blueprint of the backyard is drawn on the coordina
liubo4ka [24]

Answer:

(x-15)^2+(y-30)^2=36

Step-by-step explanation:

we know that

The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet

The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units

therefore

If the radius of the circular flower garden in the actual is 60 feet

then

the radius of the circular flower garden in the blueprint is 6 units

Find the center of the radius in the blueprint

Remember that the circular flower garden is in the center o the backyard

so

To find out the center, determine the midpoint of the rectangular backyard

C((0+30)/2,(0+60)/2)

C(15,30)

The equation of a circle in center radius form is equal to

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

where

(h,k) is the center

r is the radius

we have

(h,k)=(15,30)\\r=6\ units

substitute

(x-15)^2+(y-30)^2=6^2

(x-15)^2+(y-30)^2=36

4 0
3 years ago
Please help me this is from khan academy :(((
Dmitrij [34]

Answer:

y=1.4x+6.8

Step-by-step explanation:

(-2;4) (-7;-3)

4=-2k+b

-3=-7k+b

7=5k

k=1.4

-2.8+b=4

b=6.8

I already know k and b so I can write an equation.

y=1.4x+6.8

6 0
3 years ago
Given the proportion x/y = 2/5, what ratio completes the equivalent proportion: x/2= ?/?
prohojiy [21]
Cross multiply the original proportion

5x = 2y Divide by 2
5x/2 = y Now divide by 5
x/2 = y/ 5

So the answer is y/5

8 0
3 years ago
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