factor using the greatest common factor (GCF)
4x² + 14

Answer: There were 7 children

Step-by-step explanation:

Let's use x to represent the children and y to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

[tex]x+y=25\\x-x+y=25-x\\y=25-x[/tex]

Sub in our value for y into the other equation and solve for x

[tex]3x+10y=201\\3x+10(25-x)=201[/tex]

Step 1) Simplify

[tex]3x+250-10x=201\\-7x+250=201[/tex]

Step 2) Subtract 250 from both sides

[tex]-7x+250-250=201-250\\-7x=-49[/tex]

Step 3) Divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{-49}{-7}\\x=7[/tex]

Answer:

7 children.

Step-by-step explanation:

Let c = children

Let a = adults

1) We can set up two equations and solve them simultaneously using substitution or elimination method.

c + a = 25

3c + 10a = 201

2) I will use substitution. Make one of the variables the subject; then, substitute it into the other equation.

a = 25 - c

3c + 10(25 - c) = 201

3) Solve for c; then, substitute it into one of the equations.

3c + 250 - 10c = 201

-7c = 201 - 250

-7c = -49

c = -49/-7

c = 7

Let's substitute it into one of the equations.

7 + a = 25

a = 25 - 7

a = 18

Since the question only asked for the number of children, the answer is 7.

Since the solution cannot be negative hence the true solution to the expression is x = 10

Given the logarithmic expression

ln 20 + ln 5 = 2lnx

In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:

ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2

x^2 =100

x = 10

Since the solution cannot be negative hence the true solution to the expression is x = 10

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Answer:

area of rectangle 5 is 84.87

area of rectangle 6 is 27.71200

rectangle 7: perimeter is 64.64800 area is 104.96

rectangle 8: area is 32.69 perimeter is 36.15400

Note:

if i got any wrong im deeply sorry but good luck with this

The equation of x-axis is y=0.

Draw cordidate axis and you will find that taking image of coordinate (-3, 5) along y=0 is (-3, -5)…

Only sign of y changes then it becomes (-3, -5).

Answer: 24°, 48°, 108°

Step-by-step explanation:

Answer:

10.626

Step-by-step explanation:

There's multiple ways to go about it. See how

5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =

= 10 + 0.12 + 0.5 + 0.006 = 10.626

Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.

Answer:

The product is 10.626

Step-by-step explanation:

hope this helps

The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.

Multiply by 100/100 and keep in the form without division.

A. (0.47)

0.47 x 100/100

= 47/100

B. (-0.47)

= -0.47 x 100/100

= -47/100

C. (0.--47)

A minus sign multiplied by another minus sign makes a positive sign

= 0.--47 ⇒ 0.47

= 47/100

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The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively.

By analytical geometry we know that linear functions can be constructed by know the location of two distinct points on a Cartesian plane and the slope-intercept form is described below:

y - y₁ = m · (x - x₁)     (1)

Where:

According the table, the slope of the function is 1.5, as there a change in y of 3 for a change in x of 2. Lastly, we determine the line equation in slope-intercept form: m = 1.5, x₁ = 8, y₁ = 0

y = 1.5 · (x - 8)

And the y-intercept is found for x = 0:

y = 1.5 · (0 - 8)

y = -12

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively. [tex]\blacksquare[/tex]

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Answer:

44 cubic meters

Step-by-step explanation

9 + 4 + 6 = 19

9/19 of the patio will be cement

4/19 of the patio will be gravel

6/19 of the patio will be stones

Work out the amount of gravel - 4/19 * 209 = 44 cubic meters

:)

Answer:

24 minutes

Step-by-step explanation:

90/45=2 x 12 = 24

Hope It Helps

Answer: 0

Step-by-step explanation:

Answer:

9 and 1/3

Step-by-step explanation:

0.375 = 3/8

You can write the question as:

3.5/(3/8)

(7/2)/(3/8)

—> times to get denominator of 16

(56/16)/(6/16)

(56/16) x (16/6)

the 16 cancels out so we are left with:

56/6,

54/6 = 9

2/6 = 1/3

Therefore the answer is 9 + 1/3 = 9 and 1/3

Answer:

See below

Step-by-step explanation:

3x-429   + x/4 = 130      shows x = 172

QSN = 3x -429 = 87 degrees

HSX = 87 degrees

HSQ = 180 -87 = 93 degrees

XSN = x/4 = 43

PSN = 93 - 43 = 50  

Answer:

6+6=12 because they were 20-8=12 left and Allison puts 6 and 6 on the single dish

Answer:

6 mints

Step-by-step explanation:

after Alison eats 8 mints there's 12 remaining mints in the box . to distribute an equal amount of mints in two dishes, the number will be 12/2 that's equal 6 mints in each dish.

Answer:

The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!

Answer:

4 terms

Degree of the 4th term = 5

Coefficient of the 2nd term = -6

Degree of the polynomial = 11

Step-by-step explanation:

Terms of polynomials:  parts of the expression that are separated by the addition or subtraction operation.

Therefore, there are 4 terms in this polynomial.

If a term of the polynomial has more than one variable, then to calculate the degree of that term, add the powers of all the variables in the term.

Therefore, the degree of the fourth term is:

[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]

The coefficient is the constant.  Therefore, the coefficient of the second term is -6

Degree of a polynomial:  The greatest exponent of a variable in the polynomial equation.

As some of the terms in this polynomial have more than one variable, we must first calculate the degrees of the individual terms, and then select the greatest as the degree of the polynomial equation.

[tex]-2x^9 \implies \textsf{degree}=9[/tex]

[tex]-6x^2y^6 \implies \textsf{degree}=2+6=8[/tex]

[tex]9x^7y^4 \implies \textsf{degree}=7+4=11[/tex]

[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]

Therefore, the greatest degree is 11, so this is the degree of the polynomial.

#1

There are four terms

#2

Degree of fourth term

#3

Coefficient of -6x²y⁶

#4

Third term has highest degrees

Degree of polynomial=11

Answer:

[tex]y=(\frac{\sqrt[3]{900}}{3})^x[/tex]

Step-by-step explanation:

Answer:

y = -1/2x - 1

Step-by-step explanation:

Hi there!

We are given the equation y = -1/2x - 5

We want to write an equation parallel to this line, that passes through the point (4, -3)

Parallel lines have the same slope

In y=-1/2x-5, the equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

-1/2 is in the place of where m is, therefore it is the slope of the line

It is also the slope of the new line that we want to create.

As we already know the slope of this new line, we can substitute it into our equation (y=mx+b):
y=-1/2x+b
Now we need to solve for b

As the equation passes through the point (4, -3), we can use its values to help solve for b

Substitute 4 as x and -3 as y:

-3 = -1/2(4)+b

Multiply

-3 = -2+b

Add 2 to both sides

-1 = b

Now substitute -1 as b into the equation

y = -1/2x -1

Hope this helps!

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Answer:

x < 5

Step-by-step explanation:

the open circle above 5 means that x cannot be equal to 5

the arrow points left indicating values of x are less than 5 , then

x < 5

The required inequality for the given line is x < 5.

Inequality shows relation between two expression which are not equal to each others.

According to the given line,

The value of x is less than 5, implies that x can be 5 to -∞

Also, at x = 5, there is an open circle, implies that,

The value of x can not be equal to 5.

So the inequality can be written as,

x<5

The inequality is x<5 for the given line.

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Answer:

First Question is 20. Second one is 12 and the third one is 30.

Step-by-step explanation:

Hope this helps! :)

Answer:

15.7%

Step-by-step explanation:

You can't add points once you have posted the question. For those who are interested 50 points is more than enough.

Remark

There are two ways of calculating % error. Chemistry uses one way. Most others use the second method. I have used the second method.

Measurements

L = 10 in

w = 9 in

h = 4.5 in

Estimated result

350 cubic cm

Solution

Find the volume from the measurements of the Prism

V = L * w * h

V = 10 * 9 * 4.5

V = 405 in^3

Percent Error

% error = 100 * (Calculated Value - Estimated value)/(Estimated Value)

% error = 100 * (405 - 350)/350

% error = 100 * ( 55) / 350

% error = 15.71      

% error = 15.7      (rounded)

Answer:

0.3

Step-by-step explanation:

The percentage of the offspring that will have atatched earlobes as the dominant trait, is: 50%.

What is a Dominant Trait?

A dominant trait surpresses a recessive trait, and expresses itself. The allele of a dominant trait is usally denoted using capital letters.

Given the following traits:

A - attached earlobes (dominant allele)

a - unattached earlobes (recessive allele)

A cross between Aa and aa is shown in the image attached below.

The offspring having attached earlobes = 2 Aa = 50%.

50% of the osspring will have attached earlobes.

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what is the question, I'm confused?

Answer:

This is the best I can do because your question is un clear

Step-by-step explanation:

Answer:

STEP 1:

 ((4•(x2))-(y2))   ((x2)+xy)÷ (((2•(x2))-7xy)+(3•(y2))) ÷ (23x5•y)

Equation at the end of step 1

  (((x2)•y)-(x•(y2)))  (8x+4y)

STEP 2 :

  ((4•(x2))-(y2))   ((x2)+xy) ÷ (((2•(x2))-7xy)+3y2) ÷ 23x5y

Equation at the end of step 2:

 (((x2)•y)-(x•(y2)))  (8x+4y)

STEP 3:

 ((4•(x2))-(y2))  - ((x2)+xy)÷ ((2x2-7xy)+3y2) ÷ 23x5y

Equation at the end of step 3:

(((x2)•y)-(x•(y2)))  (8x+4y)

STEP 4:

           x2 + xy

Simplify  

           8x + 4y

STEP 5:

Pulling out like terms 5.1 Pull out like factors :

  x2 + xy  =   x • (x + y)

STEP 6:

Pulling out like terms 6.1 Pull out like factors :

  8x + 4y  =   4 • (2x + y)

Equation at the end of step 6:

   ((4•(x2))-(y2)) x•(x+y)÷ (2x2-7xy+3y2) ÷ 23x5y(((x2)•y)-(x•(y2))) 4•(2x+y)

STEP7:

    x•(x+y)      

Divide  ————————  by  2x2-7xy+3y2

        4•(2x+y)      

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

I dont know if this will help or not but

Step-by-step explanation:

Answer:

I don't know but I think c. I could be wrong so be careful.

Answer:22

Step-by-step explanation: he has only $75 to spend on chips . 75/ 3.29

The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

The number is written in the form  [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We're given that:

Average thickness of a chicken eggshell = 0.000356 m

We can rewrite it as:

[tex]0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}[/tex]

Since we need to write it as a single digit times an integer power of 10, therefore, we get:
[tex]3.56 \times 10^{-4} \approx 4 \times 10^{-4}[/tex]

Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

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Answer:

unclear sorry try 34

Step-by-step explanation:

try 34 hm

Answer:

perpendicular

Step-by-step explanation:

I got it right on khan