Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below: p = 4l + 4w + 4h = l + w + h h = –

QUESTION POSTED AT 15/01/2020 - 03:11 AM

Answered by admin AT 15/01/2020 - 03:11 AM

Answer:

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below: p = 4l + 4w + 4h = l + w + h h =             l+w

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Related questions

Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y. x. -15 15 -16 16 y. -16 16 -21 21 In the relationship between x and y, .x is always less than y .some x values are greater than y .x is always less than or equal to y .y is always less than x

-150x ≥ -2400
⁻¹⁵⁰ˣ/₋₁₅₀ ≥ ⁻²⁴⁰⁰/₋₁₅₀
       x ≤ 16

-336 ≥ -21y
⁻³³⁶/₋₂₁ ≥ ⁻²¹/₋₂₁y
   16 ≤ y
     y ≥ 16

In the relation between x and y, x is always less than or equal to y. The answer is equal to C.

ANSWERED AT 29/01/2020 - 05:40 PM


QUESTION POSTED AT 29/01/2020 - 05:40 PM

Solve for g. -6g + 3g + 12 > -18

-6g + 3g + 12 \ \textgreater \  -18

Start by combining like terms on both sides 
-6+3=-3
Now we have:
-3g+ 12 \ \textgreater \ -18

To isolate g we need to subtract 12 from both sides -18-12= -30

Now we have
-3g \ \textgreater \ -30

Divide both sides by -3 to isolate g, now we have: 

g\ \textgreater \ -10
When we divide an inequality by a negative we flip the sign so:
g\ \textgreater \ -10
becomes:
g\ \textless \ 10

Final answer:

g\ \textless \ 10

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

A given line has the equation 10x 2y -2.What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?)x 12O Submitted

10x + 2y = -2
2y = -10x - 2
y = (-10/2)x - 2/2
y = -5x - 1...the slope here is -5...a parallel line will have the same slope.

y = mx + b
slope(m) = -5
(0,12)...x = 0 and y = 12
now we sub...we r looking for b, the y intercept
12 = -5(0) + b
12 = b

so ur parallel line is : y = -5x + 12

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

A given line has the equation 10x -2.2y What is the equation, in slope-intercept form, of the line that is parallel to given line passes through the point (0, 12)?the and )x 12submitted

10x + 2y = -2

2y = -10x - 2

y = -(10/2)x - 2/2

y = -5x  - 1    y = mx + c,   slope m = -5.

If it is parallel, then the slope of the second line ought to be -5 as well.

So you should fill -5 in the bracket.

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books. Which equation models the situation?

Answer:

(3.95m) + (8.95b) = 47.65

Step-by-step explanation:

Hugh bought some magazines that cost = $3.95 each

the cost of each books = $8.95

He spent a total on purchase of books and magazines = $47.65

Let m represent the number of magazines and b represent the number of books.

Now the equation will be

(3.95m) + (8.95b) = 47.65

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 2x+7y=4 -4x -3y=14

2x + 7y = 4.....multiply by 2
-4x - 3y = 14
------------------
4x + 14y = 8 (result of multiplying by 2)
-4x - 3y = 14
----------------add
11y = 22
y = 2

2x + 7y = 4
2x + 7(2) = 4
2x + 14 = 4
2x = 4 - 14
2x = - 10
x = -5

solution is : (-5,2)

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Check all that apply. a. 2.3p – 10.1 = 6.4p – 4 b. 2.3p – 10.1 = 6.49p – 4 c. 230p – 1010 = 650p – 400 – p d. 23p – 101 = 65p – 40 – p e. 2.3p – 14.1 = 6.4p – 4

Start with given equation  2.3p - 10.1 = 6.5p - 4 - 0.01p .

1. In the right side you have three terms, two of them include p, so you can rewrite right side as

 6.5p - 4 - 0.01p=(6.5p - 0.01p)-4=p(6.5-0.01)-4=6.49p-4.

Then the whole equation is

 2.3p - 10.1 = 6.49p - 4 as in option B. This means that option B is true and option A is false (because left sides are the same, but right sides differ).

2. Now multiply the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p by 100:

 230p - 1010 = 650p - 400 - p, this equation is exactly as equation in option C. This gives you that option C is true.

3. Now multiply the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p by 10:

 23p - 101 = 65p - 40 - 0.1p, this equation differs from the equation in option D (because left sides are the same, but right sides differ). This gives you that option D is false.

4. At last, subtract 4 from the equation  2.3p - 10.1 = 6.5p - 4 - 0.01p :

 2.3p - 14.1 = 6.5p - 8 - 0.01p,\\ 2.3p - 14.1 = 6.49p - 8,

this equation differs from the equation in option E (because left sides are the same, but right sides differ). This gives you that option E is false.

Answer: correct choices are B and C.

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

One Half of the sum of a number and 10

n-the\ number\\\\\boxed{\dfrac{1}{2}(n+10)}

ANSWERED AT 29/01/2020 - 05:35 PM


QUESTION POSTED AT 29/01/2020 - 05:35 PM

In what year did the Great Depression begin

October 29, 1929 – 1939

ANSWERED AT 29/01/2020 - 05:34 PM


QUESTION POSTED AT 29/01/2020 - 05:34 PM

A cylindrical container is packaged inside a prism-shaped box. The box has a volume of 96 cubic units. If the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? Round the answer to two decimal places.

Answer:

The volume of the empty space is 20.57 unit³.

Step-by-step explanation:

Given,

The volume of the box = 96 cubic units,

Also, the cylindrical container is packed inside the box.

We know that,

The volume of a cylinder is,

V=\pi (r)^2 h

Where r is the radius of cylinder,

h is its height,

Here, r = \frac{4}{2} = 2 unit   ( Radius = Diameter / 2 )

And, h = 6 units

Thus, the volume of the cylindrical container is,

V=\pi (2)^2(6)

=\frac{22}{7}\times 4\times 6 = \frac{528}{7}\text{ cubic unit}

Hence, the volume of the empty space between the cylinder and the box = Volume of the box - Volume of the container

= 96 - \frac{528}{7}

=\frac{672-528}{7}

=\frac{144}{7}=20.5714285714\approx 20.57\text{ cubic unit}

ANSWERED AT 29/01/2020 - 05:33 PM


QUESTION POSTED AT 29/01/2020 - 05:33 PM

What value of x makes this equation true? 6x/-4=6(-1/2) a) -2 b)2 c)3 d)-3

6x/-4 = 6(-1/2)
6x/-4 = - 3...multiply by -4
6x = -3 * -4
6x = 12
x = 2


ANSWERED AT 29/01/2020 - 05:30 PM


QUESTION POSTED AT 29/01/2020 - 05:30 PM

A square field has an area of 10 square miles. What is the approximate length, to the nearest thousandth, of one side of this field? A.) 2.5 miles B.) 3 miles C.) 3.162 miles D.) 3.612 miles

Area x² = 10

x = √10 ≈ 3.16227

x ≈ 3.162 mile to the nearest thousandth.    Option C.

ANSWERED AT 29/01/2020 - 05:30 PM


QUESTION POSTED AT 29/01/2020 - 05:30 PM

What is the equation of a line that is perpendicular to y=3x-2 and passes through the point (6,8)

Answer:

APEX - y = -1/3x +10

Step-by-step explanation:

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Answer:

\text{Length of hypotenuse is }\sqrt{41}units

Step-by-step explanation:

Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.

By Pythagoras theorem,

In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides

Hypotenuse&^2=Base^2+Height^2\\\\Hypotenuse^2=4^2+5^2\\\\H^2=16+25\\\\H=\sqrt{41}units=6.4units

Hence, \text{length of hypotenuse is }\sqrt{41}units

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

How do I solve this?

I'm going to have to say 10.5, because that side looks the same as the side with the number 9.

ANSWERED AT 29/01/2020 - 05:27 PM


QUESTION POSTED AT 29/01/2020 - 05:27 PM

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collection is eleven less than five times John’s collection, and three times Jonathan’s collection is three less than seven times John’s collection. What is the number of postage stamps in John’s collection?

X = john, y = johan, z = jonathan

y = z
2y = 5x - 11....y = 5/2x - 11/2
3z = 7x - 3...z = 7/3x - 1

5/2x - 11/2 = 7/3x - 1..multiply by 6 to get rid of fractions
15x - 33 = 14x - 6
15x - 14x = -6 + 33
x = 27...so John (x) has 27 stamps in his collection

ANSWERED AT 29/01/2020 - 05:26 PM


QUESTION POSTED AT 29/01/2020 - 05:26 PM

What is the value of m in the equation, 1/2m-3/4 n=16 when n= 8?

First we sub n=8 into the equation. 

1/2m-3/4(8)=16
1/4 of 8 = 2 therefore 3/4 = 6
1/2m-6=16

Reverse equations
  add 6
1/2m=22
  multiply 1/2 which is the same as dividing by 2

m=11

ANSWERED AT 29/01/2020 - 05:25 PM


QUESTION POSTED AT 29/01/2020 - 05:25 PM

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change?

A. variable is an unknown number substituted in by a letter, such as h or s
    coefficient is the number multiplied by the variable.....7n....coefficient is 7
    constant is just a number with no variables attached.
    7.50h + 0.20s + 40.....coefficient is 7.50 or 0.20....variable is h or         s....constant is 40

B. 7.50h + 0.20s + 40 = her pay for the week
     she works 25 hrs....so sub in 25 for h....she sells 300....so sub in 300 for      s. ---- 7.50(25) + 0.20(300) + 40 = 287.50 <== her weekly pay

C. if she made 9 per hr instead of 7.50, the coefficient would change.
     It would be 9.00h + 0.20s + 40

ANSWERED AT 29/01/2020 - 05:24 PM


QUESTION POSTED AT 29/01/2020 - 05:24 PM

Which set of values could be the side lengths of a 30-60-90 triangle. Please see picture

IT would be 6, 6√3, and 12

To find side lengths of a 30-60-90 triangle would be to use a²+b²=c². C is the hypotenuse (longest side), while a and b are the legs (short sides).

using these values we get 36(originally 6)+108(originally 6√3)=144(12), which is true.

ANSWERED AT 29/01/2020 - 05:24 PM


QUESTION POSTED AT 29/01/2020 - 05:24 PM

What is the point-slope equation of the line with slope -13 that goes through the point (5,7)

Point slope formula: 
y-y_1=m(x-x_1)

We know that:
m=-13 
y1=7
x1=5
Plug those into the equation to get a final answer of:
y-7=-13(x-5)

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

A=1/2(B+b)h solve for b

Are you sure the h is after the parentheses or are the after the 1/2

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

Find the slope of the line whose equation is 15 + 3x = 2y.

15+3x=2y
2y=3x+15
y= \frac{3}{2} x+ \frac{15}{2}
Gradient, m=  \frac{3}{2}

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM

Solve the equation 3x + 4y = 16 for x.

Simplifying
3x + -4y = 16

Solving
3x + -4y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
3x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 16 + 4y
3x = 16 + 4y

Divide each side by '3'.
x = 5.333333333 + 1.333333333y

Simplifying
x = 5.333333333 + 1.333333333y

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM