(10,0) (0,4) in distance formala

The inequality for the load in truck is 300r + 425p ≤ 6300.

11 refrigerators and 8 pianos will overload the truck.

Given,

The carrying capacity of truck = 6300 lbs

The truck is used to transport refrigerators and pianos.

The weight of 1 refrigerator = 300 lb

The weight of 1 piano = 425 lb

We have to find an inequality which shows the number of refrigerators and pianos could the truck carry.

Let's take the number of refrigerators as r and number of pianos as p.

We can equate by using their weights:

That is,

300r + 425p ≤ 6300

Next, we need to determine that, will 11 refrigerators and 8 pianos overload the truck:

We have to multiply the given number with their weights:

That is,

(300 × 11) + (425 × 8) = 3300 + 3400 = 6700

6700 is greater than 6300.

So, we can conclude that 11 refrigerators and 8 pianos will overload the truck.

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Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Remember that we're using absolute values. A negative number plus a positive number is the same as a positive number subtracted by another positive number.

Answer: 2 6/7

Step-by-step explanation:

Answer:

Answer is 75/32

Step-by-step explanation:

Convert the mixed number to an improper fraction so 7 1/2 changes to 15/2 divided by 2x5/8 but then you change the 2 to 1/2 so 15/2 x 1/2 x 5/8

then you multiply the fractions then you get 75/32

The absolute value will always be a positive number while solving an equation that does not involve an absolute value could be any number.

The absolute value of a number n, written |n|, can be described

geometrically as the distance of n from 0 on the number line.

For instance, |42| = 42 and |–42| = 42. Both 42 and –42 are 42 units

from zero.

Algebraically, the absolute value of a number can be defined

piecewise as follows.

|x| = {

 x, for x ≥ 0

–x, for x < 0

Examine the definition carefully. Because –x is the opposite of x,

–x is positive when x is negative. For instance, |–7.4| = –(–7.4) = 7.4.

Thus |x| are |–x| are never negative, and, in fact, |x| = |–x|.

On many graphing utilities, spreadsheets, and CAS, the absolute–

the value function is denoted abs. For example, abs(x–3) = |x–3|.

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Answer:

A) [tex]y = \frac74x[/tex]

Step-by-step explanation:

Since the equation's graph passes through the origin, its [tex]c[/tex] value is equal to 0, and, therefore, you will only need to find the slope as the equation is of the template [tex]y = mx[/tex] where [tex]m[/tex] is the slope.

To find the slope, you can substitute the coordinates of the given points into the formula for a line's slope: [tex]y = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]y = \frac{7 - 0}{4 - 0} \to \frac74[/tex]

Therefore, the line's equation is [tex]y = \frac74x[/tex]

Answer:

100 and 10

Step-by-step explanation:

The unit price for the tape is $0.38 or 38 cents per yard.

The unit price is the price of one unit of measurement for a particular substance.

The unit price of a substance is used to calculate the total cost of a particular substance or the cost of a fraction of a substance.

Unit price is calculated by dividing the total cost by the total quantity of the product.

The given price of the product is $3.04 for a 8-yard roll of tape.

So to find the unit price we divide the total cost by the total length to find the cost of 1 yard of tape.

Unit price = $3.04 ÷ 8

or, Unit price = $ 0.38

Therefore the unit price of the tape is $0.38 or 38 cents.

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Answer:

NOT GREATER!!!

Step-by-step explanation:

0.6667 is NOT greater than 0.6667 which also means that 2/3 is NOT greater than 4/6.

Based on the constant average rates of change. , the missing value in the table is 16

Linear relationships are relationships that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The table of values is given as

x    y

1     4

2     7

3     10

4     13

5

The constant average rates of change of linear relationships imply that:

As the x values constantly change by a value, the y values constantly change by another value (could be the same value)

On the given table, we can see the trend to be;

As x increase by 1, y increase by 3

So, the missing y value is

y = 13 + 3

Evaluate the sum

y = 16

Hence, the missing value in the table is 16

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Answer: 40 hours

Step-by-step explanation:

As stated in the question the total amount spent in the month of august is $35.

First of all you have to subtract 15 out of the entire amount spent so that you can start calculating how many hours did Julie use the pool.

(35-15) = 20 (divide the answer with 0.50)

(20/0.50) = 40 (We have to divide to get the amount of hours she spent in pool)

The required function based on the given conditions is y = 13 / x.

What is a function?

A function is defined as an expression or rule that specifies the relationship between two variables or objects, out of which one is dependent and the other is an independent variable. The image of each and every element is unique.

Examining the function which satisfies the given conditions

Given values of x = 52 and y = ¼

Consider a function such that x and y vary inversely with each other,

y = k / x, where k is a constant         —-- 1

Putting values of c and y, we get,

¼ = k / 52

52 / 4 = k

k = 13

Put the value of k in equation 1, we get,

y = 13 / x

Hence, the required function is given by, y = 13 / x.

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Answer:

Find out the number of video games that Jasmine can buy with her savings .

To proof

Let us assume that the number of video games Jasmine can buy  be x .

As given

Jasmine wants to use her savings of $1128 to buy video games and music CDs.

The total price of the music CDs she bought was $72. The video games cost $43 each.

Than the equation becomes

72 + 43× x = 1128

simplify

72 + 43x = 1128

43x = 1128 - 72

43x = 1056

x = 24.6 (approx)

Take

x = 24

Therefore the maximum number of video games that Jasmine can buy with her savings be 24 .

Step-by-step explanation:

The maximum number of video games that Jasmine can buy with her savings is... 24 ✅

Allow me to explain...

First, subtract $72 from $1,128

1,128 - 72 = 1,056

       ⬆️         ⬆️

Then, divide $1,056 by $43

1,056 ÷ 43 = 24.5581...

        ⬆️            ⬆️

Coming to the conclusion that Jasmine only has enough money for a maximum of 24 video games. ✅

I hope this was helpful! (✿◠‿◠)

Answer: 4r + 4s - 16s

Step-by-step explanation:

r +3r = 4r

-10s -6s =16s

2t + 2t =4t

key when you see the word perimeter than think of addition

The given expression can be solved by finding the square root of the terms if possible and expressing the terms in the simplest form.

The square root of a number is the factor (number) that can be multiplied by itself to get that number (within the square root sign). Finding the square root of a number can be seen as the opposite of squaring a number. In the general form, √a*a=a.

In the given expression, the numerator √6 cannot be further simplified.

√6=√2*3

We cannot take square root as the number is not multiplying itself.

In the denominator √36 can be further simplified.

√36=√6*6=6

We can take square root as the number is multiplying itself.

Hence,

√6/3√36=√6/(3*6)=√6/18

The product or quotient of √6/3√36 is √6/18

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The extraneous solution is √2 and -√2

Extraneous solutions refer to the ones which when found the roots appear to be right, but are not exactly valid roots.

We have to check, whether the given solution is an extraneous one or not. We have to solve this equation,

√x+1 + √2 x = √5 x+3

or, √x + √2 x - √5 x = 3 - 1

or, - √2 x = 2Now, we have to square both sides,

∴ 2x² = 4

or, x² = 4/2

or, x² = 2

or, x = + √2 and - √2

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Answer:

number is - 4

Step-by-step explanation:

let the number be n then 4 times the sum of the number and 2 is 4(n + 2)

4(n + 2) = 2n

4n + 8 = 2n ( subtract 2n from both sides )

2n + 8 = 0 ( subtract 8 from both sides )

2n = - 8 ( divide both sides by 2 )

n = - 4

the number is - 4

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - - - - - -

[tex]\textsf{Let the number be t.}[/tex]

[tex]\textsf{The Sum means adding two numbers together.}[/tex]

[tex]\textsf{Then,}[/tex]

[tex]\textsf{4 times the sum of a number and 2 = 4 times t+2 = 4(t+2).}[/tex]

[tex]\textsf{Remember to write the parentheses when you're multiplying something times}\\\textsf{a sum or a difference.}[/tex]

[tex]\textsf{You know how to write "is equal to", don't you? It's =}[/tex]

[tex]\therefore\\\textsf{4(t+2)=}[/tex]

[tex]\textsf{Next, twice the number is written as 2t.}[/tex]

[tex]\textsf{\textbf{Our expression looks like this:}}[/tex]

[tex]\Large\boldsymbol{\rm{4(t+2)=2t}}[/tex]

[tex]\textsf{Now let's find the number: }[/tex]

[tex]\Large\begin{gathered} \sf{4(t+2)=2t}\\\sf{4t+8=2t}\\\sf{4t-2t=-8}\\\sf{2t=-8}\\\sf{t=-4} \end{gathered}[/tex]

[tex]\ddot\smile[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]

Answer:

[tex]\sf \bf h^{21}[/tex]

Step-by-step explanation:

  We have to multiply the powers.

[tex]\sf \boxed{\bf (a^m)^n=a^{m*n}}[/tex]

       [tex]\sf (h^3)^7=h^{3*7}[/tex]

                [tex]\sf = h^{21}[/tex]

The equation of the parabola in vertex form is y = - (1 / 4) · x².

In this problem we find a parabola whose axis of symmetry is on the y-axis and the directrix is above the parabola, which means that the least distance between the vertex and the directrix is negative. The equation of the parabola in vertex form is described below:

4 · p · (y - k) = (x - h)²

Where:

If we know that p = - 1 and (h, k) = (0, 0), then the equation of this parabola is:

4 · (- 1) · y = x²

- 4 · y = x²

y = - (1 / 4) · x²

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The graph at:

x=-6,-4→intersects directly

x=0→passes through

x=1→tangent

At different x-intercepts, graphs exhibit varying behaviours. On occasions, the graph will intercept the x-axis and cross it. On occasions, the graph will contact the x-axis and then deviate from it. The graphs contact or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities. Higher even powers, such as 4, 6, and 8, will still cause the graph to contact and deviate from the x-axis, but as even power increases, the graph will appear flatter as it does so.The graph will still cross through the x-axis for higher odd powers like 5, 7, and 9, but for each rising odd power, the graph as it approaches and departs the x-axis, it seems flatter.

∴x=-6,-4→intersects directly

x=0→passes through

x=1→tangent

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Answer: 2 laps four minutes

explanation:

Answer:

the harvester costs 1200 a day.

54 hectares / 12 per day = 4.5 days.

Step-by-step explanation:

if she can rent the harvester for half a day, it will cost her 4.5 * 1200 = 5400.

if she can only rent the harvest for full days, it will cost her 5 * 1200 = 6000.

Step-by-step explanation:

You could use a calculator to make it simple

(0.067 × 42.1) ÷ (17.4 - 4.19). to 1s.f

=(2.8207) ÷ (13.21)

= 0.213527 to 1s.f

= 0.2

*you could also check using your own calculator

*let me know if you want me to expand it if you don't have a calculator

Answer:

[tex] \sf \large \: x = -1[/tex]

Step-by-step explanation:

4x + 7 = 3

Substract 7 from both sides

4x + 7 - 7 = 3 - 7

4x = -4

Divide both sides by the coefficient of x

4x/4 = -4/4

calculate

x = -1

There are two types of exponential functions. For x or y increases as the value of y increases, the value of y decreases, approaching zero. For

approaching zero as the value of {x} increases, the value of y increases.

Which two forms of exponential functions are there?

What does Y mean in the exponential growth equation?

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Answer:

the answer is 90⁰ ok that

Answer:

x=6.28 0r 0.72

Step-by-step explanation:

The explanation is in the image

Answer:

[tex] \sf{x=−12}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

90+x+67+35=180

Step 1: Simplify both sides of the equation.

90+x+67+35=180

(x)+(90+67+35)=180(Combine Like Terms)

x+192=180

x+192=180

Step 2: Subtract 192 from both sides.

x+192−192=180−192

x=−12

The value of x would be 28 and the measure of angle M will be 90 degrees.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

WE have been given the Quadrilateral MNOP is a rectangle, and ∠M = 3x + 6.

WE know that interior angle of the rectangle are 90 degrees each.

Therefore,

∠M = 3x + 6 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28

Hence, the value of x would be 28 and the measure of angle M will be 90 degrees.

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Answer: 3c^2  +4 -5c

Step-by-step explanation:

-2c^2 -c +1 -(-5c^2 -3 +4c)

3c^2  +4 -5c