i need help filling in the blanks
Complete the steps to solve the equation above.




2x + 5 = 4x - 1


+ +


After adding on both sides, the equation looks like this:


2x + = 4x




Now it's time to the combine like terms and .


2x + = 4x




- -


After subtracting on both sides, the equation looks like this:


=




Finally, we divide by on both sides, and we have solved the equation!


x is equal to .

Answer:

[tex]\mathsf {\frac{17}{10}}[/tex]

Step-by-step explanation:

[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

Take the LCM (common denominator) to be 30.

[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]

Bring the known values to the RHS.

[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]

[tex]\mathsf {? = \frac{51}{30}}[/tex]

[tex]\implies \mathsf {\frac{17}{10}}[/tex]

Let that be x

Now

[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]

Step-by-step explanation:

Ultimately we know:

Men = * 5

Women = * 2

Children =

We can already make the estimation that the amount of children will be below 50. So by trial and error you will get to your answer by substituting with 41.

Children - 41

Women - 41 x 2 = 82

Men - 41 x 5 = 205

205 + 41 + 82 = 328

So your answer is 41

Step-by-step explanation:

If a variables varies jointly, we can just divide it by the other variables in relation to it.

For example, since p variables jointly as q and square of r, then

[tex] \frac{p}{q {r}^{2} } = k[/tex]

where k is a constant

First, let find k. Substitute p= 200

q= 2, and r=3.

[tex] \frac{200}{2(3) {}^{2} } = k[/tex]

[tex] \frac{200}{18} = k[/tex]

[tex] \frac{100}{9} = k[/tex]

Now, since we know our constant, let find p.

[tex] \frac{p}{q {r}^{2} } = \frac{100}{9} [/tex]

Q is 5, and r is 2.

[tex] \frac{p}{5( {2}^{2}) } = \frac{100}{9} [/tex]

[tex] \frac{p}{20} = \frac{100}{9} [/tex]

[tex]p = \frac{2000}{9} [/tex]

Answer:

Step-by-step explanation:

In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.

__

∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair

∠UTC = 180° -125° = 55°

__

∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair

∠UCD = 180° -110° = 70°

__

∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles

The function g(x) = ∛(x -3) is positive at the interval x > 3

Given g(x) = ∛(x -3), on what interval is the function positive?

The function is given as:

g(x) = ∛(x -3)

Set the radicand to positive

x - 3 > 0

Add 3 to both sides

x > 3

Hence, the function is positive at the interval x > 3

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Answer:

B

Step-by-step explanation:

Cube root of 27 is 3, which is in integer

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

Answer:

the graph of f(x)= -2-10x+16

Answer:

the vertex would be (-5,41)

Step-by-step explanation:

You just plug the -5 back into the equation to get 41

Answer:

For the cost of each legging to be $12, and the shipping of $5, the expression is a straight line C = 12x + 5 where x is the number of leggings.

Step-by-step explanation:

It is given that each legging costs $12. This means that for x number of leggings, the cost will be $12x. Now there is an additional cost of shipping that is $5. So, total cost will be a linear equation and can be written as

C = 12x + 5

This equation represents a straight line like y = mx + c. Here y = C, m = 12 and c = 5.

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Answer:

3xy-2x

Step-by-step explanation:

Distribute x to both 3y and -2: 3y*x-2*x.

Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:

[tex]p = \frac{1}{29,322,216}[/tex].

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the winnerballs, 5 balls are taken from a set of 44, hence:

[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]

Considering the numbered balls, the number of outcomes is given by:

N = 27 x 1086008 = 29,322,216.

Hence the probability is given by:

[tex]p = \frac{1}{29,322,216}[/tex].

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Answer:

7.21

Step-by-step explanation:

There is a formula to find the area of a side of a rhombus given 2 diagonals.

It is:  [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]

64 + 144 = 208

[tex]\sqrt{208}[/tex] = 14.42

14.42 / 2 =

7.21

(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22

This is not a syllogism. Hence option B is correct.

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without a given statement.

You'll need wrapping paper if you're going to wrap Holly's present. To get wrapping paper, you must visit a store.

Therefore, you will wrap Holly's present if you visit the store. This isn't a syllogism

Hence option B is correct.

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Answer:

This is not a syllogism

Step-by-step explanation:

I took the quiz. :)

Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Jamar is attempting to factor the expression 15x² – 16x – 15.

In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.

Jamar's first step is correct. He should continue to factor the expression.

Then the correct option is A.

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The number of combinations will be 6 for even numbers.

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

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Answer:

X=62 degrees

Step-by-step explanation:

The solution is in the image

Answer:

62°

Step-by-step explanation:

We know that the sum of the interior angles in a triangle is added up to 180°.

Therefore,

68.5° + 49.5° + x = 180°

118° + x° = 180°

x = 180° - 118°

x = 62°

Step-by-step explanation:

We can solve this kind of trigonometric problem

easily by the followings method :

Given :

cos^4a + cos^2a = 1

or, cos4^a = 1 - cos^2a

Therefore; cos^4a = sin^2a

Again,

To prove: cot^4a - cot^2a = 1

L.H.S = Cot^4a - cot^2a

= Cos^4a÷ sin^4a - Cos^2a ÷ sin^2a

= Sin^2a ÷ Sin^4a - cos^2a ÷ Sin^2a

= 1 ÷ Sin^2a - cos^2a ÷ Sin^2a

= 1 - cos^2a ÷ Sin^2a

= Sin^2a ÷ Sin^2a

= 1 = R.H.S proved.

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Answer:

24

Step-by-step explanation:

when you open up the parenthesis, you get -8x-3 which is 24.

negative x negative = positive

Answer:

Circumference of a circle = 2 pie r

237 = 2 * pie * r

237 / 2 * Pie

118.5/ pie = r

118.5 = Pie*r

Area of circle = Pie *r²

= Pie r * r

= 118.5 * 118.5/ Pie

= 118.5 * 118.5 / pie

= 14042.25/ pie

taking value of pie = 3.14

= 4472.05 sq. cm

Answer:

1. 1

2. 6/5

5. 0

6. -1/2

9. -1

10. 0

Step-by-step explanation:

Well you should just the slope formula (y2-y1)/(x2-x1)

1. (8-5)/(0-(-3)) = 3/3 = 1

2. (-3-(-9))/(4-(-1)) = 6/5

5. (3 - 3) / (0-2.5)  = 0/(-2.5) = 0

6. (0-(-4))/(0-8) = 4/(-8) = -1/2

9. (4-1)/(9-12) = 3/(-3) = -1

10. (7-7) / (1-(-5)) = 0/6 = 0

Answer:

Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

Answer:..

Step-by-step explanation: what is is not?

Answer:

1. is

2. amount raised, number of shirts sold

3. dependent, independent

4. 4

5. 4x

Step-by-step explanation:

When leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

Functions of independent variable in which the variable can appear more than once with different powers.

[tex]\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o[/tex]

Let this represents the polynomial function

where [tex]\rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term[/tex]

Then the according to rational root theorem ,

The root of the function is given by

[tex]\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}[/tex]

So when leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

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Answer:

2

Step-by-step explanation:

the additive inverse of - 2 is 2 , since

- 2 + 2 = 0

Step-by-step explanation:

When folding up the box, x will be the height

(30-2x) will be the length

(25-2x) will be the width so

[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]

b. First, we can't have negative length or zero length so x must be Positve.

Set the other binomial equal to 0.

[tex]30 - 2x > 0[/tex]

[tex] - 2x > - 30[/tex]

[tex]x < 15[/tex]

[tex]25 - 2x > 0[/tex]

[tex] - 2x > - 25[/tex]

[tex]x < 12.5[/tex]

So our domain is

(0,12.5), meaning our value of x must be greater than 0 and less than 12.5

Answer:

800

Step-by-step explanation:it's cuz g represents

Answer:

x = -2y

y-intercept: ( 0, 0 ) and slope: [tex] \frac{1}{2} [/tex]

Answer:

A.

Step-by-step explanation:

As shown in the question we can interpret the following:

[tex]x_{1} = -2\\y_{1} = 1\\x_{2} = 5\\y_{2} = -4[/tex]

Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.