When polled to find out if they
preferred hamburgers or hot dogs, all 120
students in the class responded. Sixty-five
percent said they preferred hamburgers,
while the rest preferred hot dogs, The
Picnic Committee decided to order 2
hamburgers or 2 hot dogs for each
student, based on the students' choices.
How many hamburgers were ordered

Answer:

11

Step-by-step explanation:

44 dollars after 4 days so 44 divided by 4 = 11

Answer:

I think I know !

Step-by-step explanation:

Answer:

3.4%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given is an isosceles triangle and so:

3x + 20 = 5x export like terms to the same side of the equation

20 = 5x - 3x

20 = 2x divide both sides by 2

10 = x

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

Answer:

x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

12x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 12 × - 5 = - 60 and sum = + 4

The factors are - 6 and + 10

Use these factors to split the x- term

12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )

6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(6x + 5) = 0

Equate each factor to zero and solve for x

6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

I think that the answer is B.

Step-by-step explanation:

go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.

Answer:

m<ADB = m<DBC

because they're alternate interior angles.

m<ABD = m<BDC

because they're alternate interior angles.

DC = AB, opposite sides.

AD = BC, opposite sides.

m<ADB = m<ABD, adjacent angles.

m<BDC = m<DBC, adjacent angles.

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Answer:

The slope is (4)  which means that the temperature (increases)  by (4) degrees every minute

Step-by-step explanation:

Answer:

4:12

6:18

8:24

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.

Answer:

equation : x = -3

slope : undefined

Step-by-step explanation:

The equation says that it is parallel to y-axis, meaning all the x values are the same. the slope is undefined because of (HOY / VUX)

Step-by-step explanation:

option B is correct answer ( Acute angle triangle)

hope this helps you.

Answer:

Acute triangle

Step-by-step explanation:

Acute triangle have less than 90 degrees

[tex]y = -2x^2 + 8x + 3[/tex]

The equation of a quadratic function of vertex (h,k) is given by:

[tex]y = a(x - h)^2 + k[/tex]

The vertex is the maximum point, which is (2,11), hence [tex]h = 2, k = 11[/tex]. Then:

[tex]y = a(x - 2)^2 + 11[/tex]

The initial height is of 3 feet, then when [tex]x = 0, y = 3[/tex], and this is used to find a.

[tex]y = a(x - 2)^2 + 11[/tex]

[tex]3 = 4a + 11[/tex]

[tex]4a = -8[/tex]

[tex]a = -\frac{8}{4}[/tex]

[tex]a = -2[/tex]

Then:

[tex]y = -2(x - 2)^2 + 11[/tex]

In standard format, the model is:

[tex]y = -2x^2 + 8x - 8 + 11[/tex]

[tex]y = -2x^2 + 8x + 3[/tex]

It hits the ground when [tex]y = 0[/tex], so:

[tex]-2x^2 + 8x + 3 = 0[/tex]

[tex]2x^2 - 8x - 3 = 0[/tex]

Which has coefficients [tex]a = 2, b = -8, c = -3[/tex]. So

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(-3) = 88[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + sqrt{88}}{4} = 4.35[/tex]

[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - sqrt{88}}{4} = -0.35[/tex]

Time is positive, so it lands on the ground after 4.35 seconds.

A similar problem is given at https://brainly.com/question/17987697

Answer: 18 days

Step-by-step explanation: you multiply 90 by 0.2 and you get 18

Answer:

√2

Step-by-step explanation:

given points are,

A = (4,5)

B = (3,4)

we know,

D = √(x_2 - x_1)² + (y_2 - y_1)²

→ √(3-4)² + (4-5)²

→ √(-1)² + (-1)²

→ √1 + 1

→ √2

therefore, distance between A and B is √2.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

1 1/2

Step-by-step explanation:

to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers

Answer:

B. Width = 55ft; length = 70ft

Step-by-step explanation:

it is the only one in which the length is 15 ft longer than that of the width.

Answer:

[tex]\boxed{m=\frac{5}{11}}[/tex]

Step-by-step explanation:

[tex]\left(2,\:3\right)\:\left(13,\:8\right)[/tex]

[tex]\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:3\right)[/tex]

[tex]\left(x_2,\:y_2\right)=\left(13,\:8\right)[/tex]

[tex]Slope(m)=\frac{8-3}{13-2}[/tex]

[tex]m=\frac{5}{11}[/tex]

Answer:

19y - 9

Step-by-step explanation:

- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3

= 12y - 9 + 7y ← collect like terms

= 19y - 9

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

The first member of the pattern is 5

Thereafter, you subtract 2 from the member on the left

5 - 2 = 3

3 - 2 = 1

1 - 2 = - 1

Answer:

m∠1 = 63

m∠2 = 49

m∠3 = 87

m∠4 = 44

Step-by-step explanation:

Angle 2 and 49 are similar

Angle 2 = 49

Angle 1 + 49 + 68 = 180

180 - 49 - 68 = Angle 1

180 - 49 - 68 = 63

Angle 1 = 63

Angle 3 + 93 = 180

180 - 93 = Angle 3

180 - 93 = 87

Angle 3 = 87

Angle 4 + 49 + 87 = 180

180 - 49 - 87 = Angle 4

180 - 49 - 87 = 44

Angle 4 = 44

Step-by-step explanation:

A straight angle measures 180°.

m∠3 = 180 - 93

m∠3 = 87

The sum of the three angles of any triangle is equal to 180°.

m∠4 = 180 - (49 + 87)

m∠4 = 180 - 136 = 44

The vertically opposite angle.

so m∠2 = 49

The sum of the three angles of any triangle is equal to 180°.

m∠1 = 180 - (68 + 49)

m∠1 = 180 - 117 = 63

please give me a brainliest answer

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

Answer:

x=35/4

Step-by-step explanation:

20x +5=180

20x=180-5

20x=175

x=175/20=35/4

Answer:

[tex]x=8.75[/tex]

Step-by-step explanation:

[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!