Find the length of side BC.
Give your answer to 1 decimal place.

Answer: y = (4/3)x + 8

Step-by-step explanation:

Answer:

-216 has three real cube roots.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

72/2=36 50% of 72 is 36

Answer:

36

Step-by-step explanation:

72 divided by 2 to get a quotient of 36

Final answer:

The ordered pair (2,5) satisfies the equation -3x+4y=14, making it the correct solution, while the ordered pair (4,6) does not satisfy the equation.

Explanation:

To determine which ordered pair is a solution to the given linear equation -3x+4y=14, we need to plug in the x and y values from each pair into the equation and see if the equation holds true.

For the ordered pair (2,5), substituting x with 2 and y with 5 gives us:

Since the equation is satisfied, (2,5) is a solution to the equation.

For the ordered pair (4,6), substituting x with 4 and y with 6 gives us:

Since -12 + 24 does not equal 14, the equation is not satisfied, and hence, (4,6) is not a solution to the equation.

Therefore, the correct answer is A- Only (2,5)

Answer:

the boat travel one way = 2 x 14.16 = 28.32 miles

Step-by-step explanation:

the return trip only takes 1.7 miles (?) ... is it 1.7 hours (?)

the boat travels 2.5 miles (per hour ?) faster downstream

I calculate it on the assumption of my guess stated above ...

X: represent the boat speed / hour

distance one way = 2X

and Distance also = 1.7 * (x + 2.5 ) on return

2x = 1.7 x + 1.7 * 2.5 = 1.7x + 4.25

0.3 x = 4.25

x = 14.16

the boat travel one way = 2 x 14.16 = 28.32 miles

Answer:

Therefore values of a and b are

[tex]a=3\ and\ b = 2[/tex]

Step-by-step explanation:

Rewrite [tex]x^{2}-6x+7=0[/tex] in the form

[tex](x-a)^{2}=b[/tex]

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

[tex]x^{2}-6x+7=0[/tex] ..............Given

Which can be written as

[tex]x^{2}-6x=-7[/tex]

[tex](\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9[/tex]

Adding half coefficient of X square on both the side we get

[tex]x^{2}-6x+9=-7+9=2[/tex] ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

[tex]x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}[/tex]

Substituting in equation 1 we get

[tex](x-3)^{2}=2[/tex]

Which is in the form of

[tex](x-a)^{2}=b[/tex]

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

[tex]a=3\ and\ b = 2[/tex]

Answer 2: a = 3 and b = 2

Answer:

All real numbers are solution for the inequality.

Step-by-step explanation:

Given expression:

[tex]2(-6n-5)<-3(4n+2)[/tex]

Solving the inequality.

Using the distribution.

[tex](2(-6n))+(-2(-5)<(-3(4n))+(-3(2))[/tex]

[tex]-12n-10<-12n-6[/tex]

Adding [tex]12n[/tex] to both sides.

[tex]-12n+12n-10<-12n+12n-6[/tex]

We have,

[tex]-10<-6[/tex]

The above statement is always true and thus the inequality has all real number solutions.

The number line graph for the inequality can be shown.

To find the height of the baby giraffe given the average height of it and a giraffe is 6m, and it is 2/3 the giraffe's height, first solve for the giraffe's height to find it is 7.2m. Then, calculate 2/3 of this to get the baby giraffe's height, which is 4.8m.

The question asks to determine the height of a baby giraffe given the average height of a giraffe and a baby giraffe together is 6m, and the baby giraffe's height is 2/3 that of the giraffe's height. Let X be the height of the giraffe. Then, the baby giraffe's height would be 2/3 X. Given the average of these two heights is 6m, the equation to find the height of the baby giraffe is:

(X + (2/3)X) / 2 = 6

By solving this equation:

Hence, the height of the baby giraffe is 4.8m.

Answer:

Below.

Step-by-step explanation:

I can't read it very well but one equation might be

2x + 8 = 3x - 12

(because the opposite sides of a parallelogram  are congruent.

Explanation:

Opposite angles of a parallelogram are equal.

B. (3x - 12)° = (2x + 8)°

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

Hence, verified.

Answer:

7000

Step-by-step explanation:

because 6532 is closer to 7000 then 6000.

Answer:

y = - 5/2 * - 2

y = 10/2

y = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 ÷ 1/3

= 5 × 3/1

= 15

Answer:

number of shells zoe gives to dev  = 7

number of shells zoe is left with  = 55-7= 48

number of shells dev has = 9+7=16

Step-by-step explanation:

let the initial number of shells that dev has be A, and initial number of shells that zoe has be B.

let the number of shells that zoe gives to dev be x.

after giiving x shells zoe is left with 3 times the number of shell as that of dev.

therefore number of shells with zoe = 3×number of shells with dev.

number of shells with zoe = initial shells - x = 55-x

number of shells with dev = initial shells + number of shells he gets

                                            = 9+x

therefore (55-x)=3×(9+x)

55-x = 27+3x

55-27=3x+x

4x = 28

x= 7

therefore number of shells zoe gives to dev  = 7

number of shells zoe is left with  = 55-7= 48

number of shells dev has = 9+7=16

Answer:

Zoe laverne!!~!!!!!!!~~~!~~!~!~!

Step-by-step explanation:

Answer:

The required points of the given line segment  are ( - 7, - 4 ).

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( - 2, 3 ) and point A is ( 3, 10), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex] ) and  ( [tex]x_{2}, y_{2}[/tex]  )then the mid points M are-  

M = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex]  , [tex]\frac{ y_{1} + y_{2} }{2}[/tex]  )

Here,

Let A ( 3, 10 ), B ( x, y ) with midpoint M ( - 2, 3 ) -

then by the midpoint formula M are-

( - 2, 3 )  = ( [tex]\frac{ 3 + x}{2}[/tex] , [tex]\frac{ 10 + y}{2}[/tex] )

On comparing x coordinate and y coordinate -

We get,

( [tex]\frac{ 3 + x}{2}[/tex] = - 2  , [tex]\frac{ 10 + y}{2}[/tex] = 3)

( 3 + x = - 4, 10 + y = 6 )

( x = - 4 - 3, y = 6 - 10 )

( x = - 7, y = -4 )

Hence the required points  A are ( - 7, - 4 ).

We can also verify by putting these points into Midpoint formula.

Final answer:

To find the other endpoint of a line segment with a known endpoint (3, 10) and midpoint (-2, 3), use the midpoint formula in reverse to calculate the coordinates, resulting in the other endpoint being (-7, -4).

Explanation:

To find the other endpoint of a line segment when given one endpoint and the midpoint, you can use the midpoint formula in reverse. The midpoint formula in two dimensions is
( (x1+x2)/2, (y1+y2)/2 ), where (x1, y1) and (x2, y2) are the endpoints of the line segment. Given that (3, 10) is one endpoint and (-2, 3) is the midpoint, we can set up equations to find the coordinates of the unknown endpoint (x2, y2).

To find x2, we use the formula for x-coordinate of the midpoint: (-2 + 3)/2 = (x2 + 3)/2. Solving for x2 gives us x2 = -2 - 3 = -7.

To find y2, we use the formula for y-coordinate of the midpoint: (3 + 10)/2 = (y2 + 10)/2. Solving for y2 gives us y2 = 2*3 - 10 = 6 - 10 = -4.

Therefore, the other endpoint of the line segment is (-7, -4).

Answer:

70%

Step-by-step explanation:

69 - 20.70 = 48.3

48.3 / 69 = 0.7

0.7 x 100 = 70

The discount percentage for the JCPenney dress, discounted from an original price of $69.00 to a final price of $20.70, is calculated to be 70% off.

To calculate the discount percentage for the JCPenney dress, we need to find the difference between the original price and the final price, and then divide that by the original price. We can then multiply the result by 100 to get the percentage.

The original price of the dress is $69.00, and the final price is $20.70. The difference between these two prices is $69.00 - $20.70 = $48.30. This is the amount of the discount.

To find the discount percentage, we divide the discount amount by the original price: $48.30 / $69.00 = 0.7. To convert this decimal to a percentage, we multiply by 100: 0.7  imes 100 = 70%.

Thus, the dress is discounted by 70%.

Answer:

Step-by-step explanation:

first we need to find the slope using the slope formula :

slope = (y2 - y1) / (x2 - x1)

(-9,7)...x1 = -9 and y1 = 7

(-6,-3)....x2 = -6 and y2 = -3

now we sub

slope = (-3 - 7) / (-6 - (-9) = -10 / (-6 + 9) = -10 / 3

so our slope is -10/3

now we use y = mx + b....with m representing the slope

slope(m) = -10/3

use either of ur points....I will use (-9,7)...x = -9 and y = 7

we are solving for b, the y intercept

now we sub

7 = -10/3(-9) + b

7 = 30 + b

7 - 30 = b

- 23 = b

so ur equation is : y = -10/3x - 23

Final answer:

To find the equation of the line through (-9, 7) and (-6, -3), calculate the slope, which is -10/3, and then use the point-slope form to derive the equation y = -10/3 x + 23.

Explanation:

To complete the equation of the line through the points (-9, 7) and (-6, -3), we need to find the slope (m) and use one of the points to find the y-intercept (b) in the slope-intercept form y = mx + b.

Step 1: Find the slope (m):

Step 2: Use point-slope form to find equation:

The completed equation of the line is y = -10/3 x + 23.

Answer:

The top left graph is the correct one.

Step-by-step explanation:

The graph of y = 1/2x - 4 will rise to the right , have a slope of 1/2  and pass through the point (0, -4) on the y-axis.

Since the inequality sign is 'less than or equal to' the line will be continuous and the shading will be below this line.

Answer:

y - 8 = (-2/3)(x + 3)

y - 8 = (-2/3)x - 2

y = (-2/3)x + 6

Answer: 250 grams.

Step-by-step explanation:

Let x be the weight of the solution.

Given : There are 80 grams of salt in a 32% solution.

That means , 32% of x = 80 grams

[tex]\Rightarrow\ 0.32x=80[/tex]  [convert percent into decimal by dividing it by 100]

[tex]\Rightarrow\ x=\dfrac{80}{0.32}=\dfrac{8000}{32}=250[/tex]

i.e. Total solution = 250 grams.

Hence, the weight of the solution = 250 grams.

If cos x= sin(20 + x)° and 0° < x < 90° then value of x is 35 degrees

Solution:

Given that:

[tex]cos x= sin (20 + x)[/tex]

We know that,

[tex]sin (a+b)=sin a \times cos b+cos a \times sin b[/tex]

[tex]cos x= sin (20 + x) = sin 20 cos x + cos 20 sin x[/tex]

[tex]cos x-sin20 \times cos x=cos 20 \times sin x[/tex]

Taking cos x as common,

[tex]cos x(1-sin 20)=cos 20 \times sin x[/tex]

[tex]\frac{(1-sin 20)}{(cos 20)}=\frac{sin x}{cos x }\\\\tan x = \frac{(1-sin 20)}{(cos 20)}[/tex]

By trignometric functions,

sin 20 = 0.34202

cos 20 = 0.939692

So,

[tex]tan x = \frac{1 - 0.34202}{0.939692}\\\\tan x = 0.7002[/tex]

Therefore,

x = arc tan (0.7002)

x = 35 degrees

Therefore value of x is 35 degrees

cos x = sin (20 + x)

sin and cos are co - functions, which means that:

cos x = cos [90 - (20 + x)]

cos x = cos (90 - 20 - x)

cos x = cos (70 - x)

Therefore, x = 70 - x

x + x = 70

2x = 70

x = 35

Therefore value of x is 35 degrees

If 3x-y=12, what is the value of 8x/2y?

Answer:

[tex]\frac{8x}{2y} =\frac{4x}{3x-12}[/tex]

Step-by-step explanation:

[tex]3x-y=12[/tex]

[tex]-y=12-3x[/tex]

[tex]y=3x-12[/tex]-------------------------(equation 1)

Now,

[tex]\frac{8x}{2y} =\frac{8x}{2(3x-12)}[/tex]---------(from equation 1)

[tex]=\frac{8x}{6x-24}[/tex]

[tex]=\frac{8x}{2(3x-12)}[/tex]

[tex]=\frac{4x}{3x-12}[/tex]

Therefore, the value of [tex]\frac{8x}{2y} =\frac{4x}{3x-12}[/tex]

Answer:(x,y)-(x+7,y+6)

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

2(3y+12)=180

3y+12=90

3y=78

y=26

Answer:

Option c) is correct.

The value of y in the given equation is 26 ie., y=26

Step-by-step explanation:

Given equation is

[tex]2(3y+7+5)=196-16[/tex]

Now to the find the value of y in the above equation.

To find y simplify the above equation

[tex]2(3y+7+5)=196-16[/tex]

[tex]2(3y+12)=180[/tex]

Now apply distributive property

[tex]6y+24=180[/tex]

[tex]6y=180-24[/tex]

[tex]=\frac{156}{6}[/tex]

Therefore y=26

Option c) is correct.

The value of y in the given equation is 26 ie., y=26

Answer:

the answer will be -5 and 1/2

Answer:

5 is a regular number and 1/2 is a fraction

make brainliest

Step-by-step explanation:

Answer:

8 ounces of vinegar

36 ounces of dressing

Step-by-step explanation:

Marco makes his famous salad Jackson by mixing 5 1/4 ounces of olive oil with 1 1/2 ounces of vinegar.

Olive oil                 Vinegar

5 1/4                           1 1/2

28                                x

Write a proportion:

[tex]\dfrac{5\frac{1}{4}}{28}=\dfrac{1\frac{1}{2}}{x}\\ \\5\dfrac{1}{4}\cdot x=28\cdot 1\dfrac{1}{2}\ [\text{Cross multiply}]\\ \\\dfrac{21}{4}x=28\cdot \dfrac{3}{2}\\ \\\dfrac{21 x}{4}=42\\ \\x=42\div \dfrac{21}{4}\\ \\x=42\cdot \dfrac{4}{21}\\ \\x=2\cdot 4\\ \\x=8\ ounces[/tex]

Marco will make

[tex]28+8=36[/tex] ounces of dressing

Answer:

maximum value of P is 33

Step-by-step explanation:

Sketch the lines represented by the constraints

5x + y = 16

with intercepts ([tex]\frac{16}{5}[/tex], 0) and (0, 16)

2x + 3y = 22

with intercepts (11, 0) and (0, [tex]\frac{22}{3}[/tex])

The solutions to both are below the lines.

Solve 5x + y = 16 and 2x + 3y = 22 simultaneously to find the point of intersection at (2, 6)

The coordinates of the vertices of the feasible region are

(0, 0), (0, 16), (2, 6), 11, 0)

Evaluate the objective function at each vertex

P = 3(0) + 2(0) = 0 + 0 = 0

P = 3(0) + 2(16) = 0 + 32 = 32

P = 3(2) + 2(6) = 6 + 12 = 18

P = 3(11) + 2(0) = 33 + 0 = 33

The maximum value of P is 33 when x = 11 and y = 0

Answer:

$103

Step-by-step explanation:

192.62 divided by 1.87

answer is $103

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If the markup price of the shoes is $192.61 then the original price of the shoes will be equal to $25.04.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Let the original price of the shoes is x.

Markup Price = $192.61, which is 87% more than the original price.

Price markup = 192.61 × 87/100 = $167.57

Original Price, x = $192.61 - $167.57

x = $25.04.

To know more about Percentage:

https://brainly.com/question/29306119

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Answer:

SAS

Step-by-step explanation:

WX = ZY

ANGLE W = ANGLE Y (90 DEGREE)

YZ = YZ

SAS CONGRUENCY

I hope this answer is correct

Anyways do confirm