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arsen [322]
2 years ago
8

Y=-3x-5 y=4x+30 PLS HELP ASAP

Mathematics
1 answer:
Dominik [7]2 years ago
6 0

{y,x} = {10,-5}

Step-by-step explanation:

sorry if this dont make sense

solve equation [2] for the variable y

y = 4x +30

plug this in for variable y in equation [1 ]

(4x+30) +3x= -5

solve [1] for the variable x

7x= - 35

x= - 5

by now we know this much

y= 4x+30

x= - 5

use the x value to solve for y

y=4 (-5) + 30 = 10

solution

{y,x} = {10,-5}

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tigry1 [53]

Answer: y=4x+7 is the equation

5 0
2 years ago
Find four consecutive even integers such that seven times the first exceeds their sum by 18.
Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be (x+2)

  Third consecutive number will be (x+4)

  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

∴ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

solving the equation to find the number.

⇒ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

Opening parenthesis

x+x+2+x+4+x+6+18 = 7x

⇒ 4x+30= 7x

subtracting both side by 4x

⇒ 30= 3x

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

  First number is 10

  Second consecutive number will be (10+2) = 12

  Third consecutive number will be (10+4)= 14

  Fourth consecutive number will be (10+6) = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0
2 years ago
A farmers field has the dimensions shown. He needs to find the area of the field so that he knows how much he needs to buy .What
kolbaska11 [484]

Answer:

Area of the rectangular Field = 3 8/9 km²

Step-by-step explanation:

Length of the field = 2 1/3 km

Width of the field = 1 2/3 km

Area of a rectangular Field = length × width

= 2 1/3 × 1 2/3

= 7/3 × 5/3

= (7*5)/(3*3)

= 35/9

Area of the rectangular Field = 3 8/9 km²

Perimeter of the rectangular Field = 2(length + width)

= 2(2 1/3 + 1 2/3)

= 2(7/3 + 5/3)

= 2(7+5/3)

= 2(12/3)

=2(4)

= 8 km

Perimeter of the rectangular Field = 8 km

5 0
3 years ago
Seattle, Washington is known for being very rainy. One day last month, 8 inches of rain fell in 1 1/2 hours. What is the rate of
Leno4ka [110]

Answer:

0.44ft/hr

Step-by-step explanation:

Given parameters:

Quantity of rainfall  = 8inches

            1ft  = 12inches

   so;

            \frac{8}{12}   = 0.67ft

Time  = \frac{3}{2}hr

Unknown:

Rate of rainfall expressed in ft/hr  = ?

Solution:

The rate of the rainfall is given as;

    Rate  = \frac{Quantity}{time}  

  Rate  = \frac{0.67ft}{\frac{3}{2} }    = 0.44ft/hr

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to<br> 94<br> 94<br> 310<br> 95<br> 94<br> 310<br> (9².3³) ²₂
a_sh-v [17]

Answer:

Step-by-step explanation:           The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

5 0
10 months ago
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