Jane will draw one card from the regular deck of 52 cards. In how many ways can she choose a jack or a black card?

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.

You didn't attach a photo, so I am confused on what your question is. I am answering 3 problems that have the same intro.

If your question was not any of these, I can't help, sorry :)

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.

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

Answer:

hope it helps

this is my best

please tell me if I'm wrong

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:

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:

6:11

Step-by-step explanation:

There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.

Step-by-step explanation:

Given:

Orange=5

Apple=3

Grape=12

Avocado=2

Formula:

Grape:Fruits

Answer:

Fruits= 5+3+12+2

Fruits=22

Grape/Avocado

12/2=6

Grape:Apple

12/3=4

Grape:Orange

12/5=2.4

Grape: All fruits

12/22=0.54

Hope it helps ;) ❤❤❤

Answer:

70

Step-by-step explanation:

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

Answer:

40 degrees

Step-by-step explanation:

90 degrees + 50 degrees = 140 degrees

there are 3 angles that total at 180 degrees in every  triangle

180 degrees - 140 degrees = 40 degrees

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:

dollars

Step-by-step explanation:

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

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.

The solution to the inequality equations are Option A, Option C, Option E.

The ordered pairs are ( 37 , 18 ) , ( 22 , 38 ) and ( 13 , 51 )

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of sweatshirt = s

Let the number of towels be = t

Let the cost of one sweatshirt = $ 20.00

Let the cost of one towel = $ 15.00

The Coach asked the team to raise at least $1000

So , the value of 20s + 15t ≥ 1000

Now , substituting the values for s and t in the equation , we get

a)

The ordered pair to the solution of equation ( s , t ) = ( 37 , 18 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 37 ) + 15 ( 18 ) ≥ 1000

740 + 270 ≥ 1000

1010 ≥ 1000

So , the inequality equation satisfies

b)

The ordered pair to the solution of equation ( s , t ) = ( 41 , 11 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 41 ) + 15 ( 11 ) ≥ 1000

820 + 165 ≥ 1000

985  < 1000

So , the inequality equation does not satisfies

c)

The ordered pair to the solution of equation ( s , t ) = ( 22 , 38 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 22 ) + 15 ( 38 ) ≥ 1000

440 + 570 ≥ 1000

1010 ≥ 1000

So , the inequality equation satisfies

d)

The ordered pair to the solution of equation ( s , t ) = ( 8 , 55 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 8 ) + 15 ( 55 ) ≥ 1000

160 + 825 ≥ 1000

985  < 1000

So , the inequality equation does not satisfies

e)

The ordered pair to the solution of equation ( s , t ) = ( 13 , 51 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 13 ) + 15 ( 51 ) ≥ 1000

260 + 765 ≥ 1000

1025 ≥ 1000

So , the inequality equation satisfies

Hence , the inequality equations are solved

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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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[tex]f(x) = \dfrac{x-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2}{2}-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2-4}{2}}{2}\\\\\\f(f(x)) = \dfrac{x-6}{4}[/tex]

Answer:

Step-by-step explanation:

The Volume is given by the following equation: V= Base x Height

Therefore,  [tex]V = 16\frac{1}{4} * \frac{1}{2} = \frac{65}{4} * \frac{1}{2} = \frac{65}{8} = 8\frac{1}{8}[/tex] units

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:

8mins

Step-by-step explanation:

(2x60)/15=8 I hope this helps, hope it's right

Answer:

8 minutes

Step-by-step explanation:

You will multiply 60 times 2 and then divide by 15 leaving you with 8

Answer:

(x+ (b/2a))^ 2 = (b/2a) ^2 + c/a

Step-by-step explanation:

ax²+bx=c

first we know the form of a square

(x+a)^2 = x^2 + 2ax +  a^2

we have to write the given ax²+bx=c in the above form

for that we bring c on LHS

for the we subtract c from both sides

ax²+bx -c =c - c

=> ax²+bx - c = 0

now we see that in x^2 + 2ax +  a^2 , term x^2 does not have any coefficient,

so in our equation we get rid of coefficient a from  ax²+bx - c = 0

for that we divide both LHS and RHS by a

(ax²+bx - c)/a = 0/a

x²+bx/a - c/a = 0

now we have to write (b/a)x in form of 2ax

for we divide and multiply (b/a)x by 2

thus we have

x²+2 (b/2a)x - c/a = 0

now comparing above equation with x^2 + 2ax +  a^2

we see that 2ax is same 2 (b/2a)x

thus (b/2a) is same as a in standard form of quadratic equation  x^2 + 2ax +  a^2

now we have to get   a^2

as (b/2a)  is same as a

we add and subtract square of (b/2a) on LHS

x²+2 (b/2a)x - c/a + (b/2a) ^2 - (b/2a) ^2 = 0

rearranging it

x²+2 (b/2a)x  + (b/2a) ^2 - (b/2a) ^2 -c/a = 0

=> x^2 + (b/2a)x + (b/2a) ^2 -(b/2a) ^2 -c/a = 0

=> (x+ (b/2a))^ 2 - ((b/2a) ^2 + c/a ) = 0

=> (x+ (b/2a))^ 2 = (b/2a) ^2 + c/a  answer

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:

2/6 (1/3)

12 gallons

Step-by-step explanation:

3) 1/2x1/3=1/6, so he'd used 1/6 of a tank.

1/2-1/6=

3/6-1/6=2/6.  So the tank was 2/6 full, or 1/3 full when he got home.

4) If it's 1/3 full and has 4 gallons, it can hold 12 gallons.  (4x3)

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: 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:

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

Answer:

i think its the first one-

Step-by-step explanation:

Answer:

the answer is the second one to the right on the top.

Step-by-step explanation:

i got it right on the quiz

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