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3 years ago

If 5a=-4b+5 and 3a=-2b+3, what is 6b?

1 answer:

6 0

There are two equations and two variables. You can solve for each variable using either the elimination method or the substitution method. Here, I believe the elimination method would be best:
5a = -4b + 5
3a = -2b + 3
You can multiply the second equation by two, so the 4b and -4b in both equations will cancel each other out when you add them. So:
5a = -4b +5
6a = 4b +6
Add both equations together.
11a = 11
a = 1
Plug in the a value into any of the previous equations:
5(1) = -4b + 5
-4b = 0
b = 0
So, since we know that b = 0, 6b is also 0.

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Help me with a. b. c. I need help

hammer [34]

Answer:

a) Perimeter = 20.5 Inches

Area is 15 Sq Inches

b) Perimeter is 61.4 Cms

Area is 210 Sq cm

c) Perimeter is 22 yards

Area is 21 Sq Yards

Step-by-step explanation:

a) Perimeter = sum of all the sides

= 8+7.5+5

=20.5

Perimeter = 20.5 Inches

Area of Triangle = $\frac{1}{2} \times height \times Base$

Base = 7.5 In

Height = 4 In

$A = \frac{1}{2} \times 4 \times 7.5$

$A = 2 \times 7.5$

$A = 15$

Hence Area is 15 Sq Inches

b) Perimeter = Sum of all the sides

P=13+23+13.4+12

P=61.4

Perimeter is 61.4 Cms

Area of trapezium = $\frac{1}{2} \times height \times (sum \ of \ parallel \ sides)$

$A= \frac{1}{2} \times 12 \times (12+23)$

$A= 6 \times 25$

$A=210$

Area is 210 Sq cm

c) Perimeter = Sum of all the sides

P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram

P = 22

Perimeter is 22 yards

Area of a parallelogram = $base \times height$

$A= 7 \times 3$

$A = 21$

Area is 21 Sq Yards

3 0

3 years ago

Find the least common denominator for these two rational expressions negative 4/x^2 6/9x

diamong [38]

Answer:

9x^2

Step-by-step explanation:

-4/x^2 6/9x

-36/9x^2 6x/9x^2

4 0

2 years ago

Find the value of the variable then the angle measure of the polygon. I just need 26 and 28 please! Got a bit puzzle while doing

juin [17]

The answer for 26 is 60 and 120

3 0

1 year ago

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

garik1379 [7]

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3 = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

4 0

2 years ago

Gina's doctor told her the standardized score (z-score) for her systolic blood pressure, as compared to the blood pressure of ot

lakkis [162]

Answer:

Option b) Gina's systolic blood pressure is 1.50 standard deviations above the average systolic blood pressure of women her age.

Step-by-step explanation:

We are given the following in the question:

The distribution of systolic blood pressure of other women is a bell shaped distribution that is a normal distribution.

z-score = 1.50

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Let x be the Gina's systolic blood pressure.

Thus, we can write:

$1.50 = \displaystyle\frac{x-\mu}{\sigma}\\\\x = 1.5\sigma + \mu \\\text{where }\sigma \text{ is the standard deviation and }\\\mu \text{ is the mean for the given distribution of blood pressure.}$

Thus, we can write Gina's blood pressure is 1.50 standard deviations above the average systolic blood pressure of women her age.

Option b) Gina's systolic blood pressure is 1.50 standard deviations above the average systolic blood pressure of women her age.

8 0

2 years ago