The ratio of the length of the toucan’s bill to the length of its body is 1 inch to 3.5 inches. If the bill is 7 inches, how long is the body?

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

The equations are :

-3x + 4y = 7. - [1]

2x + y = -1 - [2]

[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]

multiply equation [2] with 4

[tex] \longrightarrow(2x + y = -1 ) \times 4[/tex]

[tex] \longrightarrow8x + 4y = - 4[/tex]

[tex] \underline{ \underline{ \bf{step} -2}}[/tex]

subtract equation [1] from [2]

[tex] \longrightarrow8x + 4y - ( - 3x + 4y) = - 4 - 7[/tex]

[tex] \longrightarrow8x + 4y + 3x - 4y = - 11[/tex]

[tex] \longrightarrow11x = - 11[/tex]

[tex] \longrightarrow \: x = - 1[/tex]

[tex] \underline{ \underline{ \bf{step} - 3}}[/tex]

plugging the value of x in equation [1]

[tex] \longrightarrow- 3x + 4y = 7[/tex]

[tex]\longrightarrow - (3 \times - 1) + 4y = 7[/tex]

[tex]\longrightarrow3 + 4y = 7[/tex]

[tex]\longrightarrow4y = 4[/tex]

[tex]\longrightarrow \: y = 1[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

[see below]

Step-by-step explanation:

I used a graphing program to graph the given system. I also graphed the points given.

Options B's choice lies in the double shaded area, so it would be a solution to the system.

See the graph attached!

Hope this helps you!  

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Angle D:

value of angle across is equal to angle D = 122

Angle E:

value of angle across is equal to angle E = 30

Angle F:

180 - 122-30

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Answer:

the awnser would be a I'm pretty sure

Step-by-step explanation:

make the other side the same ones so like take the bottom 8 and duplicate it to the top. do the same thing with the 6 but put it on the left side. and then combine 12 + 18 and there you go.

Answer:

0

Step-by-step explanation:

1/2 times 4 is 2 and 2 minus 2 is 0

Answer:

y=0

Step-by-step explanation:

Substitute x in place of x

y=[tex](\frac{1}{2} *4)-2[/tex]

y=2-2

y=0

The other choices are false, so choice C is the only solution here.

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Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

Answer:

The maximum value is the 10's.

Step-by-step explanation:

Look at the chart and see which one has the most.

Answer:

[tex]5.23 \times {10}^{ - 5} [/tex]

Answer:

35

Step-by-step explanation:

anything that gives u the same answer which is 35. so it can be 9+ 26 or 11+ 24 or 10+15 and so on

Answer:

35

Step-by-step explanation:

Answer:

Solution given;

length[l]=20cm

for trapezoid

side 1=37cm

side 2=15cm

height[h]=25.7cm

we have

volume =area of trapezoid *length

the volume of the figure13364cm³.

Step-by-step explanation:

3y means 3 times y.  It is normally used to shorten an equation with a variable to save room.  The number is always placed before the variable.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A Milkshake!!!!!

Answer:

a milkshake

Step-by-step explanation:

tha malk is shakin'

Step-by-step explanation:

7pi/6 radians = 7×180° /6 = 210°

Answer:

(i)  29 : 6

(ii)  5 : 29

(iii) 6 : 5

Step-by-step explanation:

Sum of two number = 95

Let the first number be x, then another number be x + 15.

According to the question, x + x + 15 = 95

=>2x+15=95

=>2x+15-15=95-15

=>2x=80

=>x=40

Hence, the first number = 40

And another number = 40 + 15 = 55.

Answers:

It's not clear which version of WX your teacher wants, so I provided both of them.

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Explanation:

Focus on the perimeters. The jump from 36 to 30 means the linear scale factor is 30/36 = 5/6

This means,

WX/YZ = 5/6

WX/5 = 5/6

6WX = 5*5

6WX = 25

WX = 25/6 which is exact

WX = 4.167 approximately

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The linear scale factor is 5/6, so the area scale factor is (5/6)^2 = 25/36.

The area of figure 1 is 216 cm^2, making the area of figure 2 to be 216*(25/36) = 150 cm^2

Answer:

option A : 7x - 1

Step-by-step explanation:

Area of the shaded region = [ Area of bigger rectangle] - [Area of smaller rectangle ]

Therefore, Area of bigger rectangle = length * breadth = (x - 1)(x + 5)

Therefore, Area of smaller rectangle = length * breadth = (x + 1)(x - 4)

Area of shaded region = [(x - 1)(x + 5)] - [(x + 1) ( x - 4)

= [x(x + 5) - 1(x + 5)] - [x(x - 4) + 1( x - 4)]

= [ x^2 + 5x - 1x -5] - [ x^2 - 4x + 1x - 4]

= x^2 + 5x - 1x - 5 - x^2 + 4x - 1x + 4 ....(after removing the brackets)

= x^2 - x^2 + 5x + 4x - 1x - 1x - 5 + 4.....( as (+ x^2 )and (- x^2 )get eliminated due to opposite signs)

= 9x - 2x - 1

= 7x - 1

So, option A: 7x - 1 is the correct answer.

[tex]cosec( \theta) = \frac{1}{sin( \theta)} [/tex]

[tex]sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

[tex]cosec( \theta) = \frac{hypotenuse}{opposite} [/tex]

[tex]cosec( \theta) = \frac{21}{4 \sqrt{5} } [/tex]

Answer:

you are absolutely correct .........

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

40 words per minute

Step-by-step explanation:

[tex]\frac{1}{y} :\frac{3}{120}[/tex]

y · 3 = 1 · 120

3y = 120

3y ÷ 3 = 120 ÷ 3

y = 40

Answer:

1. 40 words per minute

Step-by-step explanation:

3 minutes = 120 words

1 minute = 120/3 = 40 words

Answer:

The answer is  

a.

$75,000

Step-by-step explanation:

The face value of the 10-year term insurance policy on a 24-year-old male is $359.25 is given as follows: $75,000.

The face value of the insurance policy is given by the equation presented as follows:

Face value = 1,000 x (Annual premium / Amount paid per $1,000 coverage )

The parameters for this problem are given as:

Annual premium = $359.25, as given in the problem.

Also, Amount paid per $1,000 coverage for 24 year old male for 10 year policy = 4.79,

Hence the face value is calculated as:

Face value = 1000 x 359.25/4.79

Face value = $75,000.

More can be learned about the face value of insurance policies at brainly.com/question/23554493

#SPJ7

Answer:

1501.6

Step-by-step explanation:

_____z_______________

Answer:

447.593+1054.0082x

Step-by-step explanation:

Hope this helps.

Answer:

sure

Step-by-step explanation:

Answer:

40 points

Step-by-step explanation:

40 + 20 = 60

100 - 60 = 40

so round three equals 40 points

Answer:

60 points in round 3

Step-by-step explanation:

Since the total is 100, and they already got 40 points (from round 1 and 2) then just subtract them from the total to find what you got in round 3.

Answer:

[tex]\sqrt{40}[/tex] or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

[tex]\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}[/tex]

or 6.32