6)
A bookcase is 3 feet high and 3 feet wide. Two braces are going to be built to diagonally cross the back of the case. How long is
the piece of wood that is needed to build each brace?

Answer: $800

Step-by-step explanation:

N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. This in the ratio of 1:2:3:4.

If the profits for the first month were $2,000, the amount received by Z will be:

= 4/(1+2+3+4) × $2000

= 4/10 × $2000

= 4 × $200

= $800

Answer:

There is no solution

Step-by-step explanation:

Given the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1

We are to find the value of x

Collect like terms

2x²+x-3 = 3/x-1 - 1/x-1

2x²+x-3 = 2/x-1

Cross multiply

(2x²+x-3) (x-1) = 2

2x³-2x²+x²-x-3x+3-2 = 0

2x³-x²-4x+1 = 0

Since we cannot factor the polynomial, hence there is no solution

Answer:

F and C

Step-by-step explanation:

None needed :)

F and C is the correct answer to the question

Answer:

0 = 0 =>  Infinitely many solutions

Step-by-step explanation:

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

Answer:

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

As per above info we get following equations:

Substitute s and solve for d:

Get rid of fraction by multiplying all terms by 3d(d + 2):

Find s:

The answer is

Answer:

33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x = -0.8

<CAD = -8

Step-by-step explanation:

10x + 4 = 5x - 4 (Clean up)

10x = -8 (Divide each side by 10)

x = -0.8

<CAD = 5x - 4

<CAD = 5(-0.8) - 4

<CAD = -4 - 4

<CAD = -8

Given:

Joe has $173 in the bank.

He puts 7 weeks earning in the banks.

Now joe has $208 in the bank.

To find:

How much money does joe earn each week?

Solution:

Let x be the same amount of money each week for 7 weeks and puts this money in the bank.

Total earning in 7 weeks = 7x

Total amount of money in bank = Initial amount + 7 Weeks earning

[tex]208=173+7x[/tex]

[tex]208-173=7x[/tex]

[tex]35=7x[/tex]

Divide both sides by 7.

[tex]\dfrac{35}{7}=x[/tex]

[tex]5=x[/tex]

Therefore, joe earns $4 each week.

Answer:

Is that supposed to be

7 1/2? If so, answer is 8

Step-by-step explanation:

7 1/2 + 1/2=8

the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:

24(5/6)x + 24(2) = 24(7/8)

the denominators will cancel out so you have:

4(5x) + 48 = 3(7)

do the multiplication:

20x + 48 = 21

fractions have been eliminated, and if you want to continue to solve:

20x = -27

x = -27/20

Answer:

x=−5

Step-by-step explanation:

−3x+5=20

Step 1: Subtract 5 from both sides.

−3x+5−5=20−5

−3x=15

Step 2: Divide both sides by -3.

−3x/-3 = 15/-3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}[/tex]

[tex]\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}[/tex]

[tex]\bold{x = \dfrac{15}{-3}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Learn more about Sinusoidal function here

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Answer:

.0235294117647

Step-by-step explanation:

Answer:

0.02352941176

Step-by-step explanation:

Answer:

y=2/3x+1/3

Step-by-step explanation:

I believe this is it if I'm not mistaken

Answer:

i dunno man like 20x2853-3835734= close to 1 ish maybe

Step-by-step explanation:

khiormurki vmuirtojolihesmgkjsNDv;jJSDgi0ajsdovSpUERHwejgoWjgjSDfiSJDflkNDSfhi34hwtughgvnsdiuufhasidfLKDFijjfiSDFMsjd fyWEHFOIEwnfasdgaiuewhjgajsdgnasidhgaiusdSJDnfIUJFOEntgejEOthueshgoNhiywejsgo Thsopdfpdfkosppppppppppppppposdkfopdskfsdoijrgoifjg i have big pp isdfijsdfjiosdjijidsfijdsfjoisfdjoifdsjoidfjiofsdjoifsdjiofsjidoiosdjfsDuHdgFrbgsrfgvjsurgfjIURgjvursjgsJgrf9srgiurw9giw9r0ti9ew0riwe90ri09weir90ewir9weir09we0fSLKcnnPZkknknjknkjnkjnkjnjnkjnjknjnokoljgtdderdwesweaqwasdfgvfcuyggfvjhhvvuhhgbjvtcuyjvbvygvgvtygiuhihidsfu7rsrfiurfiorfjoidfijofdijofvuivmvcnmvcxjkldfsjewiuewjlkldjkllfdsutuyewrjlkcvm,dsfdsjkfsdiubdnsgdkjlfsdiuodsfkjlfsdkjlsfdjklfsdjlkfsdjkdsfjkdfkjdfsjkfdjksFKJSDFIhsfuHDFJsdfDSJASDIUEJONDUhfJEFHweoijsiuhijsaudhisjfhashfpKKDaskdPAOSFUSHDFOIjsdifahsdjjckvljauydsfhkjdvnauidsfjsfhUSDFLASGMASFHDFSKFHSJDKFJNlsdjjuNLWEEE IWQJDB UEWJOHCJSDOK?

gIB BRAIN SMARTER

Answer: The perimeter is 9.31km

Step-by-step explanation:

We have two triangle rectangles, and the perimeter of the complete triangle will be equal to the sum between the hypotenuses (of both triangles) and the bottom cathetus (of both triangles)

For a triangle rectangle and a given angle A (that is not the right angle)

Remember the relationships:

Sin(A) = (opposite cathetus)/(hypotenuse)

Cos(A) = (adjacent cathetus)/(hypotenuse)

Tan(A) = (opposite cathetus)/(adjacent cathetus)

With this, we can find the measures of each triangle in the imae.

The left triangle rectangle.

We have a cathetus (opposite) with length of 2.5km and A = 51.8°

Then the hypotenuse can be found by:

Sin(51.8°) = (2.5km)/(hypotenuse)

then:

hypotenuse = (2.5km)/sin(51.8°) = 3.18 km

And the bottom cathetus can be found with:

Tan(51.8°) = (2.5km)/(adjacent cathetus)

adjacent cathetus =  (2.5km)/(Tan(51.8°)) = 1.98 km

For the other triangle, we have A = 62.1°, and the opposite cathetus is 2.5 km

We can use the same relationships than before:

Sin(62.1°) = (2.5km)/(hypotenuse)

then:

hypotenuse = (2.5km)/sin(62.1°) = 2.83 km

And the bottom cathetus can be found with:

Tan(62.1°) = (2.5km)/(adjacent cathetus)

adjacent cathetus =  (2.5km)/(Tan(62.1°)) = 1.32 km

Then the perimeter of the complete triangle is:

Perimeter = 3.18 km + 1.98 km + 2.83km + 1.32 km = 9.31 km

Answer:HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

Step-by-step explanation:

never saw that before

Answer:

(x-20)(x+3)

Step-by-step explanation:

Answer:

( x − 20)( x + 3)

Step-by-step explanation:

i did the test

Answer:

there will be 4 cornered shapes 1 rectangle that is almost a square and the shape I Forgot TvT

Answer:

Draw a vertical line to divide the shape into a rectangle and a trapezoid. Then draw a horizontal line to split the trapezoid into a rectangle and a triangle.

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

A line with an undefined slope will be a vertical line.

This means the equation of the line will be in x = form, because the line will only go through one x value.

Since the given point has the x value of 9, this means the line will only go through that value.

So, the equation of the line will be x = 9

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

Answer:

y=1/2 +1.5

Step-by-step explanation:

y intercept = 1.5

gradient = rise over run = 1/2

y = 1/2 +1.5

Answer:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] when [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the y-coordinate of the point where the line crosses the y-axis)

1) Find the slope ([tex]m[/tex])

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We can use any two points on the line to plug into this equation, but it's often easiest to use points that have whole-number coordinates. For example, we can use the points (1,-1) and (3,0).

[tex]m=\frac{0-(-1)}{3-1}[/tex]

Two negatives make a positive

[tex]m=\frac{0+1}{3-1}\\m=\frac{1}{2}[/tex]

So far, our equation looks like this:

[tex]y=\frac{1}{2}x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

We're told to approximate the y-intercept based on what appears to be true in the graph. In the graph, we can see that the y-intercept appears to occur when y=-1.5, or when y=[tex]-\frac{3}{2}[/tex]. Therefore, [tex]b=\frac{-3}{2}[/tex].

Now, after plugging both [tex]m[/tex] and [tex]b[/tex] into our equation, our final equation looks like this:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

I hope this helps!

Answer:

$30

Step-by-step explanation:

To find the cost, plug in 10 for x, then simplify

1.5x + 15

1.5(10) + 15

= 30

So, it will cost Johnny $30 to download 10 songs

The total amount of money that Johnny will have to pay is f(10) = 30.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →

1.5(x) + 15.

The expression is given by -

f(x) = 1.5(x) + 15

where [x] is the number of songs downloaded.

For [x] = 10 songs, the total amount of money that Johnny will have to pay is -

f(10) = 1.5 x 10 + 15

f(10) = 15 + 15

f(10) = 30

Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.

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