Find the rule. Solve for n. Х Y 4 3 6 5 7 6 10 n Rule: ​

Answer:

$0.70 per ear of corn

Step-by-step explanation:

Let c = Ear of corn

Let b = pound of bananas

First shopper:

7c + 6b = $5.15

Second Shopper:

4c + 1b = $1.85

Solve one equation for b since you are solving for c:

4c + 1b = $1.85

b = $1.85 - 4c

Substitute into other equation:

7c + 6b = $5.15    <---  b = $1.85 - 4c

7c + 6 ($1.85 - 4c) = $5.15

7c + $11.1 - 24c = $5.15

-17c + $11.1 - $11.1 = $5.15 - $11.1

-17c /-17 = -$11.85 /-17

c = $0.70 per ear of corn

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Answer:

Henry was thinking of the number 10.

Step-by-step explanation:

Variable x = Henry's original number

Set up an equation:

x ÷ 2 + 10 = 15

Isolate variable x:

x ÷ 2 = 5

x = 10

Answer:

solution:

5(4+2x)=-(x-5)-7

20+10x=-x+5-7

10x+x=-2-20

x=-22/11=-2

x=-2

so.D.-2 is your answer.

Answer:

.60 x $25 = X

Step-by-step explanation:

there aren't any multiple choice for the expressions but this expression would give you the answer

60% or .60 times the original price of the item will give you the new price of the item

$15 is the new price of the item

Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9

(a) The value of the function after 2 minutes later will be [tex]H=(T)^{t+2}[/tex].

(b) The value of the function at 15 F will be [tex]H=(15)^t[/tex].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit in a room.

(a) The value of the function after 2 minutes will be,

[tex]H=T^t\\H=(T)^{t+2}[/tex]

(b) The value of the function at 15 F will be,

[tex]H=(15)^{t}[/tex]

Therefore, the value of the function after 2 minutes later will be [tex]H=(T)^{t+2}[/tex]. The value of the function at 15 F will be [tex]H=(15)^t[/tex].

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Answer:

Don't understand 12am like how

Answer:

Step-by-step explanation:

Fraction:

0.8 = 8/10 = 4/5

Percent:

0.8*100 = 80%

Answer:

0.8 can be written as

8/10 and

Percentage = 8/10 × 100

Percentage = 8 × 10

Percentage = 80%

Or,

Simply

Percentage = 0.8 × 100

Percentage = 80%

[tex] \\ [/tex]

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

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Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

D  (-18)

___________________________________________________________

The image always helps me, please don't be afraid to point out any mistakes, I hope I helped have a great day!

Step-by-step explanation:

L+W+L+W=26 so 2L=26–2W and you can find length from the perimeter as L=13−W

LW=42 so L=42/W is the other way to find the length, from the area. Both ways require you to know W, but if you have both pieces of information the two answers for length must be the same 42/W=13−W, and you solve this:

42=13W−W2

W2–13W+42=0

(W−6)(W−7)=0

Either W−6=0 or  W−7=0

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

Answer:

Step-by-step explanation:

As here,

3 cm + 6 cm = 9cm. = 9cm

And as we know,

According to Triangle Inequality Property,

Measurement of any two sides of a triangle is always greater than the third side.

But here,

Sum of two sides is same as the third side,

So,

Option D is the required answer.

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer:

7 degrees

Step-by-step explanation:

90-83=7

Answer:

7 degrees

Step-by-step explanation:

complementary angles are equal to 90

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

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Answer:

The minumum value is the Smalles numer.

Step-by-step explanation:

Minumum= Lowest number

Maximum= Highest number

Range= Minumum and Maximum multiplied/added togheter.

IQR= Interquartile range

Answer:

106 m

Step-by-step explanation:

Brₐinliest plz close to leveling up

Answer:

Pretty sure it 13440

Sorry if its wrong but hope this helps.

Answer:

20ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

Answer:

457.9

Step-by-step explanation:

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

Answer:

40 mph

Step-by-step explanation:

160÷4 = 40 miles per hour

Answer:

40miles per hour

Step-by-step explanation:

distance traveled/time spent=speed(velocity)

160/4=speed (velocity)

40mph

Answer:

b = √(c² + a²)

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

11 - 2(-3) = 11 + 6 = 17

should put -3 where x is