which statement is not guaranteed to be true

Answer:

- 4 1/3 < - 1 3/4

Step-by-step explanation:

The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4

Answer:

Step-by-step explanation:

25+105+x=180 degree(being sum of the interior angles of a triangle)

130+x=180

x=180-130

x=50 degree

Answer:

B. 50

Step-by-step explanation:

total angle of triangle = 180⁰

hence,

25 + 105 + x = 180

x = 50

therefore ans is B. 50⁰

Step-by-step explanation:

angle 6 = 61° (definition of vertical angles)

angle 3 = 61° (definition of alternate interior angles)

angle 1 = 61° (definition of vertical angles)

angle 7 = 119° (definition of supplementary angles)

angle 5 = 119° (definition of supplementary and vertical angles)

angle 4 = 119° (definition of consecutive interior angles)

angle 2 = 119° (definition of vertical angles)

Answer:

Tempo = 7,230kg

Van = 7,770kg

Step-by-step explanation:

FOR THE TEMPO

boxes of biscuits = 482

Each weight = 15kg each

= 482 x 15kg

= 7,230kg

FOR THE VAN

boxes of biscuits = 518

as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each

= 518 x 15kg

= 7,770kg

Answer:

[tex]g(x) = 2^x - 3[/tex]

Un-formatted answer:

2^x - 3

Step-by-step explanation:

[tex]g(x) = f(x) - 8 = 2^x + 5 - 8 = 2^x - 3[/tex]

Answer:

D. by multiplying 58 by 0.17

[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]

Answer:

it's true for example 10/5=2 or 5/10=0.5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

You can divide any way you want but commonly you put the bigger number in front.

Step-by-step explanation:

Answer:

1 mile in 15 minutes

Step-by-step explanation:

Simply divide 120  by 8

120/8=15

Answer:

[tex]-2 -\sqrt{3}[/tex]

Step-by-step explanation:

First consider numerator

[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]

Using the formula : sin (A + B) = sin A cos B + cos A sin B

[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]

[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]

                [tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]

Second consider denominator

[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]

Using the formula : cos (A + B) = cos A cos B - sin A sin B

[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]

[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]

[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]

Therefore,

           [tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]

                     [tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]

Either we can stop here or Rationalize the denominator:

[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]

a = 22 × Cos( 60 )

a = 22 × 1/2

a = 11

Answer:

a = 11

Step-by-step explanation:

[tex]sin 60 = \frac{opposite}{hypotenuse} = \frac{b}{22}\\\\b = 22 \times sin 60 = 19.05[/tex]

[tex]22^2 = a^2 + b^2 \\484 = a^2 + 19.05^2\\a^2 = 484 - 362.9025\\a^2 = 121.0975\\a = \sqrt{121.0975} = 11.004[/tex]

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

Answer:

Step-by-step explanation: the answer is x^2+10x+21

Answer:

Step-by-step explanation:

I am sorry but what is this suppose to be asking

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

Given that;

8 bags of grapes cost $20.00

First, we find how much each bag of grape cost

8 bags = $20.00

1 bag = x

x = $20.00 / 8

x = $2.5

Now, if 1 bag of grapes cost $2.5

3 bags of grapes will cost y

y = 3 ×$2.5

y = $7.5

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

Learn more word problems here: brainly.com/question/2610134

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Answer:

52·s + 2·a = [2] × ([26·s] + [a])

Step-by-step explanation:

The number of classes Mr. Fox  takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)

Answer:

slope=y2-y1/x2-x1

=5-5/-1-3

=0/-4

=0

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 5)

m = [tex]\frac{5-5}{-1-3}[/tex] = [tex]\frac{0}{-4}[/tex] = 0

Answer:

486

Step-by-step explanation:

multiply the length width and height for the surface area

pls mark me brainliest

120

10 x 8 = 80

8 x 5 = 40

80 + 40 = 120

Answer:

is it 40

Step-by-step explanation:

6×10=60. 4×5=20

60-20=40

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

Answer:

Weekly salary of Harold = $750 (Approx.)

Step-by-step explanation:

Given:

Annual salary of Harold = $39K = $39,000

Find:

Weekly salary of Harold

Computation:

Number of weeks in a year = 365 / 7

Number of weeks in a year = 52.1425

Number of weeks in a year = 52 week (Approx.)

Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year

Weekly salary of Harold = 39,000 / 52

Weekly salary of Harold = 750

Weekly salary of Harold = $750 (Approx.)

Answer:

the first question I think yes cause the second one says that there is y line

the y intercept is 9

Answer:

v= 2

Step-by-step explanation:

[tex]6(5 - 8v) + 12 = -54\\30 - 48v + 12 = -54\\- 48v = - 54 - 30 - 12\\-48v = -96[/tex]

[tex]v = \frac{-96}{-48} = 2[/tex]

[tex]6(5-8v)+12=-54[/tex]

[tex]=30-48v+12=-54[/tex]

[tex]=-48v=-54-12-30[/tex]

[tex]-48v=-66-30[/tex]

[tex]-48v=-96[/tex]

[tex]-v=-96/48[/tex]

[tex]v=2[/tex]

-----------------------

hope it helps...

have a great day!!

Answer:

  2.  (b) ∠ZYX

  3.  (b) noncollinear

Step-by-step explanation:

2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.

Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.

__

3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.

Answer:

C: 18 4/15

Step-by-step explanation:

7 2/3 + 10 3/5

Convert fractions so that they share a common denoninator:

7 10/15 + 10 9/15

17 19/15

18 4/15

Answer:

36 FEET

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

scale = 9 / 3 = 3

1  inch : 3 feet

Actual height = 12 x 3 = 36

Answer:

f(3) = -4

Step-by-step explanation:

f(3) = f(2)*-1/2; Solve for f(2) first;

f(2) = f(1)*-1/2

f(2) = -16*-1/2

f(2) = 8;

Now get back to f(3);

f(3) = f(2)*-1/2

f(3) = 8*-1/2

f(3) = -4