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3 years ago

(1/2)^3+(8*3/4)-6 please help asap

Mathematics

1 answer:

Natali [406]3 years ago

7 0

(1/2)^3 = 1/2 * 1/2 * 1/2 = 1/8

8 * (3/4) = (8 * 3)/4 = 24/4 = 6

Then, from order of operations, you can do the subtraction first or the addition first. The subtraction would be easier to do first, because we would have 6 - 6 = 0.

Then, we’re left with 1/8 + 0 which is just 1/8.

The answer is 1/8.

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Alicia used 4 gallons of gasoline to travel 90 miles. At the same rate, how far can she travel on a full tank that holds 18 gall

MrRa [10]

90 miles/4 gallons = 22.5 miles/1 gallon.

22.5 miles*18 gallons= 405 miles

the answer is 405 miles

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3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

Find the value of y

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

Use quadrilateral ABCD to find the value of x. The figure is not drawn to scale. Use the following dimensions: m⦨ABC = 4x◦, m⦨BC

OLEGan [10]

Answer/Step-by-step explanation:

Question 1:

Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.

Since sum of the interior angles = (n - 2)180, therefore:

$4x + 3x + 2x + 3x = (n - 2)180$

n = 4, i.e. number of sides/interior angles.

Equation for finding x would be:

$4x + 3x + 2x + 3x = (4 - 2)180$

$12x = (2)180$

$12x = 360$

$x = \frac{360}{12}$ (dividing each side by 12)

$x = 30$

Find the measures of the 4 interior angles by substituting the value of x = 30:

m<ABC = 4x

m<ABC = 4*30 = 120°

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m<BCD = 3*30 = 90°

m<CDA = 2x

m<CDA = 2*30 = 60°

m<DAB = 3x

m<DAB = 3*30 = 90°

Question 2:

<CDA and <ADE are supplementary (angles on a straight line).

The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.

m<ADE = 180° - m<CDA

m<ADE = 180° - 60° = 120°

6 0

3 years ago

Any idea help me ASAP:)

Arada [10]

Answer:

The x-intercept is (18/5, 0).

The y-intercept is (0,-2).

Step-by-step explanation:

To find the x-intercept, sub y for 0.

-5x + 9y = -18

-5x + 9(0) = -18

Simplify and isolate x.

-5x = -18 <= Divide both sides by -5

x = 18/5

Since we substituted y for 0, y=0.

(18/5, 0)

To find the y-intercept, sub x for 0.

-5x + 9y = -18

-5(0) + 9y = -18

Simplify and isolate y.

9y = -18 <= Divide both sides by 9

y = -2

Since we substituted x for 0, x=0.

(0,-2)

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3 years ago

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navik [9.2K]

Answer:

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Step-by-step explanation:

Just plug in your numbers:

M = 0.0375/12 * 30000/(1-(1+.0375/12)^60)

since 5 years is 60 months

6 0

3 years ago