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andrey2020 [161]
3 years ago
8

Solve 1/5 (x+3)=−(2x+3)

Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer:

Step-by-step explanation:

just simplify the LHS first.

You can either multiply 1/5 by (x+3) and then solve

or

multiply both sides by 5 to get rid of 1/5 on LHS

I will multiply by 5

(x+3)= -10x-15     ( 5*1/5(x+3)= -5(2x+3)

now rearrange the equation

x+3=-10x-15

-10x-15-x-3=0

-11x-17=0

-11x=17

x= -17/11

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Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas c
MrRissso [65]

Answer:

P's surface area is less than Q's surface area

4 0
3 years ago
Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)
Salsk061 [2.6K]
The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100  (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100
3 0
3 years ago
The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 14
Salsk061 [2.6K]

<u>Question Completion</u>

PIE CHART NUMBERS:

  • Excellent 9%
  • Good 41%
  • Fair 36%
  • Poor 13%
  • Other 1%

Answer:

0.000063

Step-by-step explanation:

Number of Respondents, n=1400

Probability that they would rate their financial shape as​ excellent = 0.09

Number of Those who would rate their financial shape as excellent

=0.09 X 1400

=126

Therefore:

The probability that 4 people chosen at random would rate their financial shape as​ excellent

=\dfrac{^{126}C_4 \times ^{1400-126}C_0}{^{1400}C_4} \\=\dfrac{^{126}C_4 \times ^{1274}C_0}{^{1400}C_4}\\=0.000063 $(correct to 6 decimal places)

6 0
3 years ago
Help me:-
Vesnalui [34]

Answer:

20 + 4y

Step-by-step explanation:

The 4 multiplies the 5 and the y, i.e., it distributes over the terms of the expression in ( ).

5 0
2 years ago
Select the correct answer. Simplify the expression.<br> (see the screenshot)
Sliva [168]

Answer:

Option D

Step-by-step explanation:

Given expression has been given as,

\sqrt[5]{224x^{11}y^8}

\sqrt[5]{224x^{11}y^8}=\sqrt[5]{2\times 2\times 2\times 2\times 2\times 7(x^{11})(y^8)}

                 =\sqrt[5]{(2^5)\times (7)(x^{10}\times x)(y^5\times y^3)}

                 =2^{\frac{5}{5}}\times 7^{\frac{1}{5}}\times x^{\frac{10}{5}}\times x^{\frac{1}{5}}\times y^{\frac{5}{5} }\times y^{\frac{3}{5} }

                 =2\times 7^{\frac{1}{5}}\times x^2\times y\times x^{\frac{1}{5} }\times y^{\frac{3}{5} }

                 =2x^2y\sqrt[5]{7xy^3}

Option D will be the answer.

7 0
3 years ago
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