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Usimov [2.4K]
3 years ago
10

Can someone tell me this?): thank u

Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:x=6

Step-by-step explanation:

YZ is 1/2 of EF, so the same goes for the other sides. ED is 10, so XY is 5, 5=x-1, solve for x, and you get x=6. And to verify, XY is 7.5, so DF would be double that, so 15=3(x-1), which is correct 15=3(6-1)=3(5)

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Use back-substitution to solve the system of linear equations.
ludmilkaskok [199]

Step-by-step explanation:

x - y + 5z = 29

y + 2z = 4

z = 7

since z = 7 we can use this value in second equation

y + 2×7 = 4 and y = -10

now we know the value of y we can solve the first equation

x -(-10) + 5×7 = 29

x + 10 + 35 = 29

x = -11

5 0
3 years ago
Read 2 more answers
Simplify completely****​
andreyandreev [35.5K]

Answer:

\displaystyle \frac{x + 7}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 + 12x + 35}{3x + 15}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                          \displaystyle \frac{(x + 5)(x + 7)}{3x + 15}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{x + 7}{3}
4 0
3 years ago
The average (arithmetic mean) of y numbers is x. if 30 is added to the set of numbers, then the average will be x - 5. what is t
Anastasy [175]
Given,

AM of y numbers = x.

Let the sum of y numbers be s.

AM of y numbers = x

\frac{s}{y} = x

s = y*x

Given, when 30 is added to the y numbers, the AM becomes x - 5.

\frac{s + 30}{y + 1} = x - 5

\frac{y*x + 30}{y +1} = x - 5&#10;

y*x + 30 = (x -5)( y +1)

y*x + 30 = y*x + x - 5y -5

5y = x - 5 -30 = x - 35&#10;

y =  \frac{x -35}{5} 
8 0
3 years ago
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the sala
balu736 [363]
The restaurants sold 50 salads.

-The given is that they sold 35 garden salads which is 70% of their sales.
-Now, to get how many salads 1% is equal to, you divide 35 by 70
-35/70 = 0.5
-So now, multiply 16 by 0.5 and 14 by 0.5
-16(0.5)=8 and 14(0.5)=7
-Add the three together to get 50
-Now, check to see if it works
70% of 50 is 35
16% of 50 is 8
14% of 50 is 7

Hope this helps and is right, have a good day!
4 0
3 years ago
PLEASE HELP I HAVE 10 MINUTES LEFT
Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
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