Write the phrase as a variable expression. use x to represent "a number." 8 less than 4 times a number

Write 9 decimals with three decimal places that when rounded to the nearest hundredth round to 4.56

Alexeev081 [22]

4.555
4.556
4.557
4.558
4.559
4.561
4.562
4.563
4.564

6 0

3 years ago

Read 2 more answers

I need help answering this question.

Usimov [2.4K]

Answer:

28 degrees

Step-by-step explanation:

Since the lines are parallel this means that angle BEF and angle ABE are equal because they are alternate interior angles. We are given a right angle which measures 90°. This means we can do 118°-90° to give us angle ABD. This means that angle ABD is 28°.

8 0

2 years ago

A boy scout has 4 meters of rope. He cuts the rope into cords 3/5 m long. How many cords will he make?

bulgar [2K]

Original length of the rope = 4m

Size of each piece = 3/5 m.

No of cords of same size formed will be

$4 \div \frac{3}{5} \\ = 4 \times \frac{5}{3} \\ = \frac{20}{3} \\ = 6 \frac{2}{3}$

$Therefore \: the \: person \: will \: make \: \: 6 \frac{2}{3 \: } cords.$

8 0

3 years ago

2х5y-3z-=14 x-2y+=-12 -x+ Зу-2z =13

lukranit [14]

Answer:

x = -34/3, y = 1/3, and z = -35/3

Step-by-step explanation:

2х+5y-3z-=14 let's call this equation 1.

x-2y=-12 let's call this equation 2.

-x+Зу-2z =13 let's call this equation 3.

USING EQUATION 1 AND EQUATION 3.

2х+5y-3z-=14 (EQUATION 1)

-x+Зу-2z =13 (EQUATION 3)

LET'S GET RID OF z, BY MAKING THE COEFFICIENT OF z IN THE TWO EQUATION THE SAME. WE WILL MULTIPLY EQUATION 1 BY 2 AND EQUATION 3 BY 3.

2х+5y-3z-=14 (EQUATION 1) * 2

-x+Зу-2z =13 (EQUATION 3) * 3

4х+10y-6z-=28 let's call this equation 4.

-3x+9у-6z =39 let's call this equation 5.

TO GET RID OF z, WE WILL HAVE TO SUBTRACT EQUATION 5 FROM EQUATION 4 PLEASE TAKE NOTE OF THE SIGNS (-) (+).

4х+10y-6z-=28 (EQUATION 4)

- (-3x+9у-6z =39) (EQUATION 5)

(4x - 3x) + ((+10y) - (+9y)) + ((-6z) - (-6z)) = (28 - 39)

x + y + 0 = -11

x + y = -11 let's call this equation 6.

USING EQUATION 2 AND EQUATION 6, LET'S FIND x AND y.

x-2y=-12 (EQUATION 2)

x + y = -11 (EQUATION 6)

x has the same coefficient in both equations, which is 1. Let's get rid of x so we can find the value of y.

We will subtract equation 6 from equation 2. Take note of the signs.

x-2y=-12 (EQUATION 2)

- (x + y = -11) (EQUATION 6)

(x - x) + ((-2y) - (+y)) = ((-12) - (-11))

0 + -3y = -1

-3y = -1

Divide both sides by -3.

-3y/-3 = -1/-3

y = 1/3

LET'S SUBSTITUTE THE VALUE OF y INTO EQUATION 2 TO GET THE VALUE OF x.

x-2y=-12 (EQUATION 2)

x-2(1/3)=-12

x -2/3 = -12

Add 2/3 to both sides.

x -2/3 + (2/3) = -12 + (2/3)

x + 0 = -34/3

x = -34/3

LET'S SUBSTITUTE THE VALUES OF x and y INTO EQUATION 1 TO GET THE VALUE OF z.

2х+5y-3z-=14 (EQUATION 1)

2(-34/3)+5(1/3)-3z-=14

-68/3 + 5/3 - 3z = 14

-21 - 3z = 14

Add 21 to both sides.

-21 + (21) - 3z = 14 + (21)

0 - 3z = 35

-3z = 35

Divide both sides by -3.

-3z/-3 = 35/-3

z = -35/3 or

Therefore, x = -34/3, y = 1/3, and z = -35/3

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6 0

3 years ago

: m +3m + 6 = 4m - 9+ 15 Solve for the variable

Sergeu [11.5K]

Answer:

<h2>Solution: each real number</h2>

Step-by-step explanation:

$m+3m+6=4m-9+15\qquad\text{combine like terms}\\\\(m+3m)+6=4m+(-9+15)\\\\4m+6=4m+6\qquad\text{subtract}\ 4m\ \text{from both sides}\\\\4m-4m+6=4m-4m+6\\\\6=6\qquad\bold{TRUE}\\\\\bold{CONCLUSION:}\ \text{infinitely many solutions}$

3 0

3 years ago