Find three consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91.

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Answer: No

Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

Answer:

300 is what I got

Step-by-step explanation:

Answer:

answer is really hard and small, but I can't help because I don't know,

sorry not sorry

lol

regards,

Rosemary

Answer:

a=10

Step-by-step explanation:

distribute on both sides to get

5a-10=20+2a

add/subtract like terms

5a-2a=3a

20+10=30

so the equation is

3a=30

divide 30 by 3 and you get 10

Answer:

a = 10

Step-by-step explanation:

[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

Answer:

The firefighter should extend the ladder at 54° of elevation.

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]

The angle is calculated as the inverse tangent:

[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]

The firefighter should extend the ladder at 54° of elevation.

Answer:

15

Step-by-step explanation:

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Answer:

yes

Step-by-step explanation:

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Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

∴ x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

∴ x = 250

∵ x represents the number of hamburgers

∴ There were 250 hamburgers sold on Saturday.

Answer:

Domain: -2 < x ≤ 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:

(-2, 3] or -2 < x ≤ 3

Answer:

ramen is the true answer to lifes problems  

Step-by-step explanation:

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

To learn more about Compound interest click here:

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Answer:

Options (5) and (6)

Step-by-step explanation:

From the picture attached,

In right triangle ΔPSQ and ΔPSR,

PS ≅ PS [By reflexive property]

PQ ≅ PR [Given]

ΔPSQ ≅ ΔPSR [By HL property of congruence]

Therefore, QS ≅ SR [CPCTC]

(6n + 3) = (4n + 11)

6n - 4n = 11 - 3

2n = 8

n = 4

QS = (6n + 3)

     = 6×4 + 3

     = 27

SR = (4n + 11)

     = 4×4 + 11

     = 16 + 11

     = 27

QR = QS + SR

     = 27 + 27

     = 54

Therefore, Options (5) and (6) are the correct options.

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Step-by-step explanation:

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

This is the original equation so you will open the brackets.

[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]

The x will cross the division sign making it times x.

[tex]3 {x}^{2} - 9x \times x = 3[/tex]

So you will proceed to multiply the 9x by x making it;

[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

[tex] - 6 {x}^{2} = 3 [/tex]

Then you will square root both sides making it;

[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]

So the ² will cancel the √ leaving

-6x=√3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve