Solve the following system of equations

-8x -9x = 10
4x -5y = 14

(See picture attached)

730 teens voted.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

A ratio is the relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other. For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.

Given Data

Teens to adult ratio 10:9

Total people votes = 1387

Ratio of teen vote:

= 1387 × [tex]\frac{10}{19}[/tex]

= 73(10)

= 730

730 teens votes.

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The cost of 6 bottles of juice is $2.34 if the each bottle costs the same.

According to the question,

We have the following information:

Adriel buys 20 bottles of grapefruit juice at the corner store for a total cost of $7.80.

Cost of 20 bottles of juice = $7.80

Now, from here we can find the cost of 1 bottle of juice by dividing the total cost by the number of bottles purchased.

Cost of 1 bottle of juice = $(7.80/20)

Cost of 1 bottle of juice = $0.39

Now, we can easily find the cost of 6 bottles of juice by multiplying the cost of 1 bottle of juice by 6.

Cost of 6 bottles of juice = $(0.39*6)

Cost of 6 bottles of juice = $2.24

Hence, the cost of 6 bottles of juice is $2.24.

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Answer:

n = 27

Step-by-step explanation:

n + 6 + 2n + 3 + 90 = 180

solve for n then n = 27

hope this helped

have a good day ^^

We can simplify the mathematical expression to get:

[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = 4*\sqrt{2/11}[/tex]

Here we have the mathematical expression:

[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} }[/tex]

Remember the rule:

[tex](a + b)*(a - b) = a^2 + b^2[/tex]

Then the numerator can be rewritten as:

[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = \frac{5^2 - \sqrt{3}^2 }{\sqrt{22} } = \frac{25 - 9}{\sqrt{22} } = \frac{16}{\sqrt{22} }[/tex]

notice that 16*16 = 256 then we can rewrite:

[tex]\frac{16}{\sqrt{22} } = \sqrt{\frac{256}{22} } = \sqrt{\frac{128}{11} } = \sqrt{\frac{4*4*2}{11} }= 4*\sqrt{2/11}[/tex]

That is the expression simplified.

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Answer:

-7 -8 -9 -10 -11 -12 -13 -14 -15

Step-by-step explanation: Integers are just numbers that are not fractions or decimals so like any number

a) Ratio in fraction form to compare the number correct to the total questions for each test is [tex]\frac{17}{20}[/tex].

b) Yes, we compare these two ratios as they are written.

Jamaya got a better answer on the test on her second test, and you could compare these two ratios as they are written.

a)

First: Convert the each of scores into the percentages:

How do you convert the ratios to percentages? Well, first we have to convert ratio to a decimal or a fraction. Let's convert it to fraction. So, 19 out of 25 will become fraction [tex]\frac{19}{25}[/tex], and 17 out of 20 will become fraction [tex]\frac{17}{20}[/tex] . To convert fraction to percentage:

Divide numerator by denominator:

19 ÷ 25 = 0.76                                        AND                           17 ÷ 20 = 0.85

Multiply the quotient by 100

0.76 x 100 = 76                                      AND                        0.85 x 100 = 85

Add percent sign

76%                                                          AND                                                   85%

Now, two quantities are easier to compare. We can obviously see that 85% is the bigger [and better] than 76%. So, ratio that equals 85% - 17 out of 20 - is a better grade.

b)

Yes, you can compare the these two ratios, just find [positive] difference between the amount that she scored and the total number of scores that could be gained.

25 - 19 = 6

20 - 17 = 3

Since equation with 20 and 17 in it has a smaller difference, it is most likely to have a greater value [because that means that Jamaya got more right and less wrong, which means a greater mark which is also greater quantity].

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Answer:

w=3units  l=6 units

Step-by-step explanation:

The required length and width of the rectangle are 6 and 3 units

Given that,
The width of a rectangle is 3 units less than the length. The area of the rectangle is 18 units.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Let the length of the rectangle be l and the width of the rectangle is l -3
Now,
area of the rectangle,
18 = l [l - 3]
18 = l² - 3l
l² - 3l - 18 = 0
l² - 6l + 3l  - 18 = 0
(l - 6) + 3 (l - 6) = 0
(l - 6)(l + 3) = 0
l = 6   {negative value of the l can be neglected.}
now,
width = 6 - 3 = 3

Thus, the required length and width of the rectangle are 6 and 3 units.

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Answer:

the discrete and cont is 2-4 or 3-4

domain should be 3

range thats ezzzzz thats 3,4

function, umm bud your on your own for that :D

Step-by-step explanation:

Ella got a higher test score (ratio of correctly spelled words to total words) in the current week when she spelled 13 out of 15 words correctly.

In last week, Ella spelled 16 out of 20 words correctly which is 16:20 in ratio terms and is equivalent to 0.8 (in decimal terms) or 80% in percentage terms.

In current week Ella spelled 13 out of 15 words correctly which is 13:15 in ratio terms and is equivalent to 0.866... (in recurring decimal terms) or 86.7% in percentage terms.

86.7% being greater than 80%, Ella scored higher in current week than in last week's spelling test.

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ANSWER : 4x-3y

EXPLANATION:

Answer:

0.95

Step-by-step explanation:

19/20

19÷2/20÷2

9.5/10

0.95

Considering a rectangular plot measuring 16 by 25 feet in a community garden the equation that models the the number of tomato plant and the number of pepper plant is 8x + 5y = 400

given data

a rectangular plot measuring 16 by 25 feet

area to grow tomato plants = 8 square feet

area to grow pepper plants = 5 square feet

From the  given data the total area is

Area = 16 * 25

Area = 400 square feet

let the number of area required by tomato plant be x and the area required by pepper plant be y

The equation that models how many tomato plants and how many pepper plants you can grow can be written as

8x + 5y = 400

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y=10-2x..(3)

[tex]3x+4(10-2x)=12\\\\3x+40-8x=12\\3x-8x=12-40\\-5x=-28\\\frac{-5x}{-5} =\frac{-28}{-5} \\x=\frac{28}{5}[/tex]

[tex]y=10-2(\frac{28}{5} )\\y=10-\frac{56}{5} \\y=-\frac{6}{5}[/tex]

If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord

The initial height = 13500 feet

The height at which she has to pull the cord = 5000 feet above the ground

The distance traveled to reach 5000 feet above the ground = 13500-5000

= 8500 feet

The equation for the distance traveled during the freefall d(t)= [tex]16t^{2}[/tex]

where d is the distance traveled

t is the time taken

Substitute the values in the equation

8500 = 16 × [tex]t^{2}[/tex]

[tex]t^{2}[/tex] = 8500/16

[tex]t^{2}[/tex] = 531.25

t = [tex]\sqrt{531.25}[/tex]

t = 23.05 seconds

Hence, If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord

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The proportional relation:

y = 2*x

Tells us how many cups of water we need for x scoops of coffee, with this we can see that for 5 scoops we need 10 cups.

We know that for one small scoop of coffee, you need to add 2 cups of water. Then we can write the proportional relation:

y = 2*x

Where x is the number of scoops of coffee and y is the number of cups of water.

if x = 5, then:

y = 2*5 = 10

y = 10

So for 5 scoops of coffee, you need 10 cups of water.

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Answer:

Step-by-step explanation:

Using the definition of the secant, the angle is given as follows:

θ = 112.6º.

The secant of an angle θ is given by one divided by the cosine of the angle θ, that is:

sec(θ) = 1/cos(θ).

In the context of this problem, the numeric value of the secant of the angle is given as follows:

sec(θ) = -13/5.

This means that the following relation can be established:

1/cos(θ) = -13/5.

Hence we can solve to find the angle measure as follows, applying cross multiplication:

-13cos(θ) = 5

cos(θ) = -5/13.

Applying the inverse cosine, we have that:

θ = arccos(-5/13).

θ = 112.6º.

This angle has equivalent on other quadrants, as for example, in the third quadrant the cosine is also negative. However, in the third quadrant, the tangent is positive and we want a negative tangent, which is why the measure is of θ = 112.6º.

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Step-by-step explanation:

1:10000

means we are using the same metric on the map and in reality.

just 1 unit in the map corresponds to 10000 units in reality.

so, e.g. 1 cm on the map = 10000 cm in reality.

1 m = 100 cm

so, 10000 cm = 100 m.

therefore, 1 cm on the map = 100 m in reality.

but we need 5 km = 5000 m.

that is 50 times 100 m in reality or 1 cm on the map.

so, the length on the map is 50 cm.

The image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death" because it is a common symbol of death that requires little description.

Emily Dickinson's lyrical poem "Because I could not stop for Death" was originally printed in Poems: Series 1 in 1890, after her death. We don't know if Dickinson finished "Since I could not stop for Death" or if it was "abandoned" because her writing was never granted permission to be published.

In the poem "Because I could not stop for death the personified Death appears to Dickinson's poem's speaker. The poet's character speaks calmly about Death, the Afterlife, and the tranquility that comes with it. She represents Death as a young guy accompanying her in a carriage. She gives us a quick overview of her previous life while still living as she passes through to the afterlife.

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Answer:

y=26

Step-by-step explanation:

3y=78

3 x 26 = 78

y = 26

Answer:

168

Step-by-step explanation:

= 2[3-{3(-9)(3)}]

= 2[3-{-81}]

= 2(84)

= 168

Hope it helps!!
BTW it was very easy...

Answer:

6

Step-by-step explanation:

If f(n) is f(-6), that means you need to input -6 in any places that have n in them.

f(-6) = --6

Two negatives make a positive.

f(-6) = 6

Hope this helps! :)

Hello!

To find the value of f(-6)

 ==> must plug '-6' into n's position in the equation

    f(-6) = -(-6) = 6

Hope that helps!

There is no saddle point (DNE). However, there is local maximum at (1, 1/2) for the given function.

we have function of two variables f(x,y)= 9-2x+4y-x^2-4y^2

we will find the values by partial derivative with respect to x,y,xy

f ₓ= -2 -2x

[tex]f_{y}[/tex] = 4 -8y

to find the saddle point we should first find the critical points so equate

-2 -2x=0 and   4 -8y=0

we get x= 1  and y =1/2 so, critical points are (1,1/2)

to find local maximum or minimum we have to find  [tex]f_{xx}[/tex]  , [tex]f_{yy}[/tex] and [tex]f_{xy}[/tex]

formula is  [tex]f_{xx}[/tex]* [tex]f_{yy}[/tex] - [tex]f_{2xy}[/tex] =0

[tex]f_{xx}[/tex] = -2

[tex]f_{yy}[/tex] = -8

[tex]f_{2xy}[/tex]=0

putting values in formula

(-2)*(-8) -0 =16 > 0, and [tex]f_{xx}[/tex] < 0  and [tex]f_{yy}[/tex] <0

so, here we have local maximum

we have no saddle point for this function by using the same formula we used to find extrema.

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Answer: 17

Step-by-step explanation: 34x50/100 = 17

Answer:

17

Step-by-step explanation:

you type on your calculater

34 divided by 100 multiply by 50

then that will equivalate to 17

Answer:

option d

Step-by-step explanation:

y=mx+c

6= -5*2+c

c=6+10

c=16

since y=AsinKx.......1

so amplitude =|A|=1

Answer:

Domain: All real numbers

Range:  f(x) ≥ 5 or f(x) < 2

Step-by-step explanation:

The given graph is a graph of a piecewise function.

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

When graphing piecewise functions:

Domain

The domain of a function is the set of all possible input values (x-values).

From inspection of the graph, the arrows show that the function continues indefinitely in both the positive and negative directions.

The value of x = 1 is not included in the left part of the graph, but it is included in the right part of the graph.

Therefore, the domain of the function is all real values of x:  

Range

The range of a function is the set of all possible output values (y-values).

From inspection of the graph, there is an open circle at y = 2 and a closed circle at y = 5.  Therefore, there are no y-values in the interval:
2 ≤ y < 5.

Therefore, the range of the function is f(x) < 2 or f(x) ≥ 5:

Answer: 100 = 4x + 6y

Step-by-step explanation:

We have a total of 100 guests, small tables seat 4, and large tables seat 6. So for each small table used, 4 guests are subtracted from the total.

x = small tables

y = large tables