Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?

Answer:

because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2

None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

The given equation is;

Equation 1;

[tex]\rm 3x+4[/tex]

Equation 2;

[tex]x+6-3x-2[/tex]

After putting the value 2 on the place of x we get;

Equation 1;

[tex]\rm = 3x+4[/tex]

[tex]=3 \times 2+4 \\ =10[/tex]

Equation 2;

[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]

Hence, the none of the given options are matching.

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Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

Equations with no solutions has two of its sides to be equal.

From the given option, we can check he equation

5(x + 4) - x = 4(x+5) - 1

Expand

5x + 20 - x = 4x + 20 -1

4x +20 = 4x + 19
4x - 4x = -1

Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

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Answer:

1/4, 3/10, 7/20, 2/5

Step-by-step explanation:

1/4 = 25%

3/10 = 30%

7/20 = 35%

2/5 = 40%

Answer:

28/171

Step-by-step explanation:

The probability initially of drawing a red would be 8/19 since there were 19 marbles in the bag in the beginning. However, without replacement, the probability of drawing another red would be 7/18 as there would be one less red and one less marble in the bag so to find the combined probability of getting 2 red marbles, multiply 8/19 by 7/18 to get: 56/342 = 28/171

Answer:

x = 7.3

Step-by-step explanation:

area = base × height / 2

21.9 = 6 × x / 2

43.8 = 6x

x = 7.3

Answer:

7.3

Step-by-step explanation:

The formula to find the area of a triangle is (1/2)(a)h = A.

Replace the variable h (height) with x.

Isolate the x variable (height) in order to find the height value.

(1/2)(6)x = 21.9

3x = 21.9

x = 21.9/3

x = 7.3

Answer:

(-4)^5

Step-by-step explanation:

(-4)^(8 + 3)/(-4)^(4 + 2) = (-4)^11/(-4)^(6) = (-4)^(11-6) = (-4)^5

The statements about the design that are true are:

As we can see the distance from the sprinklers head to the walkway is more than one grid and length of one grid is 3 feet, so each sprinkler is placed more than 3 feet from the walkaway.

The radius of the area watered by each sprinkler = 1.5 grid = 1.5×3 = 4.5 feet. So area watered by each sprinkler = π×r² = (3.14)(4.5)² = 63.58 ≈ 63.6 feet². Area watered by one sprinkler = 63.6 feet², therefore total area covered by four sprinklers = 4×63.6 = 254 feet²

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Answer:

A&C&D

Step-by-step explanation:

Trust

Answer:

x= -19

y= -14

Step-by-step explanation:

Substitution.

It tells you what y is already. You substitute that into the second equation and then solve. Then you use that answer and substitute it back into the first equation's x, and then you'll get your full answer.

Hope this helps <3

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex]{ \boxed{ \: ✟\underline{ \boxed{ \sf{ \: x = - 19 ✓}}}✟ \:}} \\ { \boxed{ \: ✟\underline{ \boxed{ \sf{ \: y = - 14✓ }}}✟ \:}} \\\\ [/tex]

Hope it helps !

Answer:

Step-by-step explanation:

the number of combinations of 4 people we can form from 6 is :

[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]

Answer:

See below

Step-by-step explanation:

I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.

Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.

Answer:

I can't solve it.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Start by plugging in all the domain values (domain means input) into the function.

f(-1) = 4(-1) + 6 =-4+6=2

f(0) = 4(0) +6=0+6= 6

f(2) = 4(2) +6 = 8+6=14

Answer:

23

Add positive 14 and 9 to get 23

14 + 9 = 23

-14 + 23 = 9

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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Answer:

Factor by grouping.

(3x−1)(3x+2)

Step-by-step explanation:

Answer:

113.1

A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1

The option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero.

Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

Because the requirement for normal is greater than 10, n×p is greater than 10 and nx(1-p) is also greater than 10.

This situation is abnormal because it is not valid. If p is close to 1 in a normal graph, then p is left skewed.

Thus, the option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero. Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.

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Answer: 3.905 rounded

Step-by-step explanation: The thousandth in this number is 4.

Round it up since when its 5 or more you add 1 more/raise the score

The answer is 3.905

The time taken for the population of the pig to reach 1000 will be almost four years.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Six guinea pigs are released in an area with no natural predators.

The guinea pig population quadruples every year.

Write a function P that represents the guinea pig population at a given time T measured in years.

Then the function will be

[tex]\rm P = 6 (4)^T[/tex]

Then the inverse function of P will be

[tex]\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}[/tex]

Then the time taken for the population of the pig to reach 1000 will be

[tex]\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years[/tex]

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Step-by-step explanation:

-3m > 75

3m < -75

m < -25

that's it.

Answer:

m< - 25

Step-by-step explanation:

-3m > 75  

(-3m)/(-3) <75/(-3) (divide both members by (-3) (which is a negative number so  ">" becames "<")

m<-25

Answer:

5

Step-by-step explanation:

When you are looking for a pattern, look at one of the examples, makeup the pattern, then check it on the other examples.

Wrong answers may work on one, but not all the completed examples.

The right answer will work on all of the examples, then use that rule on the incomplete one.

So, I looked at the second one in the top row. The two bottom numbers, 5 + 13 makes 18. And 18÷3 (the top number, gives the center number) Check on other examples.

bottom + bottom=_

_÷top=center.

8+4=12, 12÷3 =4.

9+5=14, 14÷2=7

Both of these work.

So use the rule for the last one.

Add the bottom numbers, divide by the top number, fill it in the middle.

14+6=20

20÷4=5

Fill in 5.

The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15

From the table of values, we have:

Yellow = 8

Total = 30

The experimental probability is then calculated using:

P(Yellow) = Yellow/Total

This gives

P(Yellow) = 8/30

Simplify

P(Yellow) = 4/15

Hence, the experimental probability is 4/15

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Answer:

[tex]3n^2-4n-3[/tex]

Step-by-step explanation:

The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].

Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:

-4, 1, 12, 29, 52

3, 12, 27, 48, 75

Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:

-7, -11, -15, -19, -23

The nth term of this new sequence is -4n-3.

By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].

Hope this helps!

Answer:

4

Step-by-step explanation:

2x+ 4y -2x-2-4y+6

2x-2x+4y-4y-2+6

0+0+4

Answer:

f-g=10x+3-(-7x-4)

=10x+3+7x+4

=17x+7

(f-g)(x)= 17x+7

Answer:

17x + 7

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

f(x) = 10x + 3

g(x) = -7x - 4

Simplify:

(10x + 3) - (-7x - 4)

(10x + 3) - (-7x) + - (- 4)

10x + 3 + 7x + 4

17x + 7

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Hey there!

10 + 5 + 0 + (-5) + (-10) + (-15)

= 10 + 5 - 5 - 10 - 15

= 15 - 5 - 10 - 15

= 10 - 10 - 15

= 0 - 15

= -15

Therefore, the answer should be: -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The Answer is 147.2

Step-by-step explanation:

Hope this helps Have a great day and Sry if i'm wrong :)