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2 years ago

Please help number 7 and number 8

Mathematics

1 answer:

ladessa [460]2 years ago

8 0

7. You are finding the area of the box. Not the cube, just a surface. Length times width of the surface. Eliminate other numbers and multiply

24.5×19.5

then

26×24.5

8. You are doing the same thing almost. Word problems are scary, but look for the numbers.

4inch ×8inch × 12inch

Find the volume
Multiply the volume by 3, that'd one answer
Devide the ORIGINAL volume by 2. don't divide the volume you multiplied by 3.

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How would I solve this equation?

sergiy2304 [10]

Let's solve your equation step-by-step.
2/3(3x+1)=5
Step 1: Simplify both sides of the equation.
2/3(3x+1)=5
Simplify: (Show steps)
2x+2/3=5
Step 2: Subtract 2/3 from both sides.
2x+2/3−2/3=5−2/3
2x=13/3
Step 3: Divide both sides by 2.
2x/2=13/3/2
x=13/6
Answer:
x=13/6

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!

Lunna [17]

NOTES:

Given a quadratic function in standard format (y = ax² + bx + c), the direction of the parabola is as follows:

if "a" is positive, then opens UP
if "a" is negative, then opens DOWN

Given a quadratic function in standard format (y = ax² + bx + c), the vertex can be found as follows:

the Axis Of Symmetry (x-value) is: x = $\frac{-b}{2a}$
y-value is found by plugging in the AOS for "x" in the equation

****************************************************************************************

1) y = x² + 11x + 24

a = +1 so the parabola opens UP

x = $\frac{-b}{2a}$ = $\frac{-11}{2(1)}$ = $-\frac{11}{2}$

y = $(-\frac{11}{2})^{2}$ + 11 $(-\frac{11}{2} )$ + 24 = $-\frac{25}{4}$

vertex $(-\frac{11}{2}$ , $-\frac{25}{4})$ is in Quadrant 3 and is below the x-axis

This COULD be the graph of the rain gauge.

The graph should contain the vertex, x-intercepts (-3, 0) and (-8, 0), and y-intercept (0, 24)

******************************************************************************************

2) y = -x² - 6x - 8

a = -1 so the parabola opens DOWN

x = $\frac{-b}{2a}$ = $\frac{-(-6)}{2(-1)}$ = $\frac{6}{-2}$ = -3

y = -(-3)² - 6(-3) - 8 = -9 + 18 - 8 = 1

vertex (-3, 1) is in Quadrant 2 and is above the x-axis

This could NOT be the graph of the rain gauge.

The graph should contain the vertex, x-intercepts (-2, 0) and (-4, 0), and y-intercept (0, -8)

******************************************************************************************

3) y = x² - 2x + 3

a = 1 so the parabola opens UP

x = $\frac{-b}{2a}$ = $\frac{-(-2)}{2(1)}$ = $\frac{2}{2}$ = 1

y = (1)² - 2(1) + 3 = 1 - 2 + 3 = 2

vertex (1, 2) is in Quadrant 1 and is above the x-axis

This could NOT be the graph of the rain gauge.

The graph should contain the vertex, y-intercept (0, 3), and its mirror image (2, 3). There are no x-intercepts

******************************************************************************************

4) y = x² + 4x + 4

a = 1 so the parabola opens UP

x = $\frac{-b}{2a}$ = $\frac{-4}{2(1)}$ = -2

y = (-2)² + 4(-2) + 4 = 4 - 8 + 4 = 0

vertex (-2, 0) is in Quadrant 2 and is on the x-axis

This COULD be the graph of the rain gauge.

The graph should contain the vertex, y-intercept (0, 4), and its mirror image (-4, 4). The x-intercept is the vertex.

Compared to the other four graphs, this is most likely the equation for the rain gauge!

******************************************************************************************

5) y = 3x² + 21x + 30

a = +3 so the parabola opens UP

x = $\frac{-b}{2a}$ = $\frac{-21}{2(3)}$ = $-\frac{7}{2}$

y = 3 $(-\frac{7}{2})^{2}$ + 21 $(-\frac{7}{2} )$ + 30 = $-\frac{27}{4}$

vertex $(-\frac{7}{2}$ , $-\frac{27}{4})$ is in Quadrant 3 and is below the x-axis

This COULD be the graph of the rain gauge.

The graph should contain the vertex, x-intercepts (-2, 0) and (-5, 0), and y-intercept (0, 30)

*******************************************************************************************

4 0

3 years ago

Read 2 more answers

Can someone answer this? Thanks :)

Maslowich

Answer:

15ft

Step-by-step explanation:

Draw out the picture and use the Pythagorean theorem (equation is written in blue) to solve.

View Image

4 0

2 years ago

HELP!!!

Jobisdone [24]

Answer:

$16$ is the number of quarters and $14$ is the number of dimes

Step-by-step explanation:

we know that

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

Let

x-----> the number of dimes

y------> the number of quarters

we know that

$0.10x+0.25y=5.40$ -----> equation A

$x+y=30$ ----Isolate the variable y

$y=30-x$ -----> equation B

Substitute equation B in equation A

$0.10x+0.25(30-x)=5.40$

$0.10x+7.5-0.25x=5.40$

$0.25x-0.10x=7.5-5.40$

$0.15x=2.1$

$x=14\ dimes$

Find the value of y

$y=30-x$

$y=30-14=16\ quarters$

therefore

$16$ is the number of quarters and $14$ is the number of dimes

8 0

3 years ago

Read 2 more answers

5. Three times the width of a certain rectangle exceeds twice its length by two inches. Four times its length is twelve more

damaskus [11]

Answer: A

Step-by-step explanation:

L=Length W=Width

3W=2L+2

4L=2L+2W+12

2L=2W+12

Option A

Hope this helps!! :)

Please let me know if you have any question or need further explanation

4 0

2 years ago