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3 years ago

21 ≤ 2x + 3 = How do you work this out? And what is the answer? :)

Mathematics

2 answers:

nadya68 [22]3 years ago

7 0

Answer:

Step-by-step explanation:

21≤2x+3
21-3≤2x
18≤2x
divide both side by 2
therefore the answer
x≥9

Igoryamba3 years ago

4 0

Just use app called Socratic will help out

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How many times does six go into forty-eight?

Marizza181 [45]

6 x 8 = 48, the answer is 8, just divide 48 by 6.

3 0

4 years ago

Look at the picture

Fantom [35]

Answer:

The x-intercept is 2.

Step-by-step explanation:

$2 \sqrt[3]{x - 10} + 4 = 0$

$2 \sqrt[3]{x - 10} = - 4$

$\sqrt[3]{x - 10 } = - 2$

$x - 10 = - 8$

$x = 2$

3 0

2 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

3 years ago

2. Eric had $197 in his savings account before he was paid his weekly salary. His current

umka21 [38]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Solve x2 − 7x + 12 = 0. x = −3, x = −4 x = 3, x = 4 x = 2, x = 6 x = −2, x = −6

UNO [17]

Answer:

x=4, x=3

B is correct.

Step-by-step explanation:

Given: $x^2-7x+12=0$

Using middle term splitting factor the left side equation.

$x^2-4x-3x+12=0$

$(x-4)(x-3)=0$

Equate each factor to 0 and solve for x

x-4=0 or x-3=0

x=4 and x=3

Hence, The solution of the equation is 4 or 3

6 0

3 years ago