Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?

Answer:

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 20[/tex]

Collect like terms

[tex] - 5x + 5 = - 45 + 20[/tex]

Calculate the sum

[tex] - 5x + 5 = - 25[/tex]

Move constant to RHS and change its sign

[tex] - 5x = - 25 - 5[/tex]

Calculate

[tex] - 5x = - 30[/tex]

Divide both sides of the equation by -5

[tex] \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} [/tex]

Calculate

[tex]x = 6[/tex]

Hope this helps...

Best regards!!

Answer:

x = 6

Step-by-step explanation:

10x - 15x + 5 = -45 + 20

→ Simplify the 10x - 15x

-5x + 5 = -45 + 20

→ Simplify the -45 + 20

-5x + 5 = -25

→ Minus 5 both sides from to isolate -5x

-5x = -30

→ Divide by -5 from both sides from to isolate x

x = 6

3x+4y=12 is Linear.

y-1/2x+6 is Linear.

y=4x^2 is nonlinear.

y+2=|4| is linear.

y+6=4x is linear.

In order to tell whether an equation is linear or not, you have to first see if there is any variable^2 or more than ^1. If that is the case, it isn't linear. For example the equation x^2=4 or y^5=100 isn't linear. It also isn't linear if the equation is divided by X or Y.For example the equation 1/x=1 isn't linear or 1/y^2=5 isn't linear.

A question is also linear if you can write it in the form y=mx+b , 'm' meaning the slope of the equation and 'b' meaning the y-intercept of the equation.

Answer:

[tex]x>4[/tex] or [tex]x \leq -3[/tex]

Step-by-step explanation:

Given :[tex]-6x -1 < -25[/tex] or[tex]3x + 4 \leq -5[/tex]

Solving first inequality :

[tex]-6x-1<-25[/tex]

Add 1 to both sides

[tex]\Rightarrow -6x-1+1<-25+1\\\Rightarrow -6x<-24\\\Rightarrow 6x>24[/tex]

Divide both sides by 6

[tex]\Rightarrow \frac{6}{6}x>\frac{24}{6}\\\Rightarrow x>4[/tex]

Solving second inequality:

[tex]3x + 4 \leq -5[/tex]

Subtract 4 from both sides

[tex]\Rightarrow 3x+4-4 \leq -5-4\\\Rightarrow 3x \leq -9[/tex]

Divide both sides by 3

[tex]\Rightarrow \frac{3}{3}x \leq \frac{-9}{3}[/tex]

[tex]\Rightarrow x \leq -3[/tex]

So, [tex]x>4[/tex] or [tex]x \leq -3[/tex]

Refer the attached graph

Answer:

x<-5 is the correct answer

Answer:

x<-5 is the answer

Step-by-step explanation:

Answer:

dollars

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

A) the x-intercept is the solution because there are only x's in the equation when they are set equal to each other.

B) (-3, 8), (-3, 4)

   (-2, 4), (-2, 4)***** this is the solution

   (-1, 2), (-1, 4 1/8)

   (0, 1), (0, 5)

   (1, 1/2), (1, 12)

   (2, 1/4), (2, 68)

   (3, 1/8), (3, 516)

C) Graph them and show the intersection

See Attachment

Answer:

Option A

Step-by-step explanation:

Because 72/9 = 8 or 8/1

Hope this helps and pls make as brianliest :)

Answer:

A

Step-by-step explanation:

the numerator is 72

while the denominator is 9

divide

72/9 = 8

we have a numerator 8

when the answer is a whole number the denominator is always 1

so the answer is 8/1

Answer:

3

Step-by-step explanation:

(x+(×+12)=(×+4×+14)-3

×+×+12=×+4×+14-3

2×+12=5×-2×

+12-11=5×-2×

-1=3×

Answer:

[tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

Step-by-step explanation:

Given expression : [tex]\sum_{n=3}^{20}(n(n+1))[/tex]

Solving further :

[tex]\Rightarrow \sum_{n=3}^{20}(n^2+n)[/tex]

[tex]\Rightarrow \sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

So, [tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

So, The given expression is equivalent to Option A

So, Option A is the answer

Answer:

A and C

Step-by-step explanation:

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).

Now,

To find the roots, we set the function equal to zero and solve for q:

So,

q² - 125 = 0

(q - 5)(q + 5) = 0

q - 5 = 0 or q + 5 = 0

q = 5 or q = -5

Therefore,

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

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Answer:

A. 5x>20

Step-by-step explanation:

Because the company has to produce more than 20 fixtures you need  greater than 20 and you have 5 machines time the number they produce.

Hope this helps, if it does please mark brainliest!!

Answer:

5x > 20

Step-by-step explanation:

I got a 100

Mean absolute deviation of the given data is 1.5

The average absolute deviation of a data set is the average of the absolute deviations from a central point.

The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers

From the given bar chart

Mean = Sum of the terms / Number of terms

Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]

Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|

MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]

Hence, Mean absolute deviation of the given data is 1.5

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Answer:

1.5

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

[tex]\frac{20}{100}*350=70[/tex]

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test

Answer:

A, D and E

Step-by-step explanation:

Option B is an inequality while Option C is an Equation. However, Rest of the options are expressions because they don't have any equality (=) sign or any inequality (<,>,≥,≤). So, they are expressions.

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

Answer:

[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

for any real x different from 1

[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   [tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]

So antiderivative of

[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: r = I/pt

Step-by-step explanation:

Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.

The equivalent equation for r is r=I/pt which is option a.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

We have been given an equation I=prt and we have to find the equivalent equation which is solved for r.

I=prt

In this p is principal, r is rate of interest and t is time period.

Divide both sides by pt.

I/pt=prt/pt

I/pt=r

Hence the equation equivalent to I=prt is r=I/pt which is option a.

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Answer:

see below

Step-by-step explanation:

6r = 72

We need to divide each side by 6, not subtract 6 from each side

6r/6 = 72/6

r = 12

Answer:

Brooke's solution is incorrect

Divide both sides by 6

r=12

Step-by-step explanation:

The equation is:

6r=72

Brooke solved the equation like so:

6r-6=72-6

r=66

Brooke's solution is incorrect. She subtracted 6 from both sides of the equation.

Here is how the equation should be solved:

6r=72

We want to solve for r, so we have to get r by itself. 6 and r are being multiplied (6*r=6r). The inverse of multiplication is division, so we must divide both sides by 6 (not subtract 6 from both sides).

6r/6=72/6

r=72/6

r=12

Brooke's solution is incorrect. She subtracted 6 instead of dividing by 6. The correct solution is r=12.

Answer:

45

Step-by-step explanation:

There are 10 points to choose as "starting points" and 9 points to connect them to so you would think that the answer is 10 * 9 = 90. However, this is incorrect as it is over-counting by a factor of 2. Suppose we have two points A and B. Using this method, 2 of the 90 line segments would be AB and BA but AB and BA are the same line segment. Therefore, the answer is 90 / 2 = 45.

Answer:

1695.6 is the volume.

Step-by-step explanation:

3.14 * 6^2 * 15 = 1695.6

Answer:

1695.6 yds^ 3

Step-by-step explanation:

If the diameter is 12 yds then the radius is 6 yds.  The height is 15 yds.  Thus the volume of this cylinder is

V = πr²h = 3.14(6 yd)^2·(15 yds) = 1695.6 yds^ 3

Answer:B

Step-by-step explanation:

The x next to the 45 represents that if we were to put this in a graph the line would start at 45 meaning that the 45 could be the fee for looking at whats broken and the $75 is the payment for fixing it giving us the Y-intercept(out total payment)

In the given equation y=45x+75, the y intercept 75 represents  the technician charges $45 per hour for the repair. Option C is correct.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given,

A computer technician charges a fixed amount for a repair, plus an additional amount per hour

y=45x+75

y equal to forty five x plus seventy five

In the given equation the x represents number of hours and 75 represents fixed amount.

45 represents the additional amount per hour.

In the equation y=45x+75

45 is the slope and 75 is the y intercept.

75 represents  the technician charges a fixed amount of $75 for the repair.

Hence option C is correct, the technician charges $45 per hour for the repair.

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Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Answer:

B) y=2/5x+2

Step-by-step explanation:

Slope is rise over run.  Since the line is increasing it’s positive.  It goes up two and then five to the right, so it’s a positive 2/5.

Therefore the answer is B) y=2/5x+2

Answer: 5=10 p (divide by 10) p+10=18 (subtract 10) p+18=5 (subtract 18) 5p=10 (divide by 5)

Step-by-step explanation:

You want to get p or the variable alone

Answer:

4950 potholes in 6 weeks, estimated is 4800.

Step-by-step explanation:

To estimate, let's round 825 to the nearest 100th - 800.

Now we multiply 800 times 6 to find our estimate.

[tex]800\cdot 6 = 4800[/tex]

If we know that the road repair crew can fix 825 potholes PER WEEK, we can set up a proportion to find how many they can do in 6 weeks.

[tex]\frac{825}{1} = \frac{x}{6}[/tex]

Let's cross multiply to find the value of x.

[tex]825\cdot6=4950\\4950\div1=4950[/tex]

So the repair crew can fix 4950 potholes in 6 weeks.

4950 is pretty close to 4800, so our exact answer should be correct.

Hope this helped!

Answer:

the answer is 4950

Step-by-step explanation:

Because the ratio would be 825:1 and if you times the 1 by 6. it would give you 6 and do the same to the other side with 825 that would give you 4950. hope you like my answer.

Answer:

y = 3/7 x - 3

Step-by-step explanation:

The first number should be positive because the dots are slowly going up, not down. The first number also cannot be 7/3 because the slope of that would be over 2, and in this graph, the slope isn't even more than one. The last answer we have to eliminate is y = 3/7x + 3 because the +3 is the y-intercept, and in the graph, it doesn't touch the positive 3. So the answer is y = 3/7x - 3.

Answer:

Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.

Step-by-step explanation:

The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.

The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.

Answer:

Step-by-step explanation:

The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis.  The two sloping ends are congruent (their slopes have exactly the same slope.

The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.

Answer:

2 parallel sides

2 non-parallel, congruent sides

Step-by-step explanation:

As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.