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Lorico [155]
3 years ago
13

Solve the system of linear equations by substitution. y=2x+5 y=3x−1 solution: ( , )

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

X intercept is (1,0)

Y intercept is (0, - 1/5

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Shalnov [3]
1st one RS=DE,
second one T=F,
last one R=D
7 0
3 years ago
Read 2 more answers
how many sides does a regular polygon have if the measure of an interior angle is 160 degrees? justify ur answer EXPLAIN HOW PLS
Afina-wow [57]

Step-by-step explanation:

Size of Interior angle = 180° - 360°/n, where n is the number of sides of the regular polygon.

We have 180° - 360°/n = 160°.

=> 360°/n = 20°, n = 18.

Therefore it is a 18-sided regular polygon.

3 0
3 years ago
On a number line: What does a closed circle mean and what does an open circle mean?
MArishka [77]
A closed circle means greater than or equal to and less than or equal to.
An open circle is greater than or less than.
4 0
3 years ago
Victoria completed 1/8 of her test in 2/5 of an hour if it koreas rate stayed the same how much of her test was finished in 1 ho
dangina [55]

Answer:

<h2>31.25%  or 1/16 of her test</h2>

Step-by-step explanation:

Step one:

given

let the total amount of her test be x

we are told that she complete 1/8x  test in 2/5 of  an hour

hence she completed 1/8x in 0.4 hours

let us find the rate at which she completes are test

rate= 1/8x/0.4

convert the numerator to decimal number for easy computation

rate= 0.125x/0.4

rate=0.3125x per hour

Step two:

Hence 1 hour she can finish 0.3125x *1

=0.3125x

She can finish 31.25 % of her test in 1 hour

or 1/16 of her test

7 0
3 years ago
Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240
Alisiya [41]

Let's call the length of the rectangular fence l and the width of the rectangular fence w.


Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

A = lw

P = 2l + 2w


Now, let's substitute in the values we are given in the problem:

240 = lw

68 = 2l + 2w


Now, let's solve the system using substitution.

240 = lw \Rightarrow \dfrac{240}{w} = l

  • Solve for l from the first equation

68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w

  • Substitute this value into the second equation

68 = \dfrac{480}{w} + 2w

  • Simplify

68w = 480 + 2w^2

  • Multiply both sides of the equation by w

2w^2 - 68w + 480 = 0

  • Subtract 68w from both sides of the equation

(2w - 48)(w - 10) = 0

  • Factor

2w - 48 = 0 and w - 10 = 0

  • Use the Zero Product Property and solve both factors

2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24

w - 10 = 0 \Rightarrow w = 10


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10

w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24


Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0
3 years ago
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