Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem? StartFraction x over 12 EndFraction = StartFraction 1 over 7.5 EndFraction StartFraction 1 over 12 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction 7.5 over x EndFraction

Step-by-step explanation:

This is a sequence of divide by 2 or half of the number so 32 16 8 4 2 1

Answer:

B. The Dress Shop.

Step-by-step explanation:

To find the best deal, we want to find the cost for one dress.

Lara's Boutique: $64 for 4 dresses.

x / 1 = 64 / 4

x = 64 / 4

x = $16 per dress.

The Dress Shop: $75 for 5 dresses.

x / 1 = 75 / 5

x = 75 / 5

x = $15 per dress.

Marge's Dresses: $160 for 8 dresses.

x / 1 = 160 / 8

x = 160 / 8

x = $20 per dress.

The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.

Hope this helps!

Answer: the answer is b(5)

Step-by-step explanation:

To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.

Answer:

b(3)=-16

Step-by-step explanation:

We have to figure out the second term

b(2)=b(1)-7

b(2)=-2-7

b(2)=-9

and now the third one

b(3)=b(2)-7

b(3)=-9-7

b(3)=-16

Answer:

[tex]30x^2y^4z^4[/tex]

Step-by-step explanation:

If we multiply 6x by 5x, we get [tex]30x^2[/tex].

If we multiply y by [tex]y^{3}[/tex], we get [tex]y^{4}[/tex].

z stays the same, since it's not being multiplied by anything.

Hope this helped!

Answer:

Step-by-step explanation:

Multiply each term:

30x^2y^4z^4

Plz mark me brainliest!!

We have

[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]

[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]

[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]

So

[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]

is equivalent to

[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]

which reduces to

[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]

Answer:

slope is 2

Step-by-step explanation:

the equation of linear is y=mx+b, where m is the slope

therefore, m=2 which means the slope is 2

Answer:the slope is 2

Step-by-step explanation:

the equation y=mx+b represents m as the slope.

Answer:

The total number of dots on the 200th triangle is 603

Step-by-step explanation:

Please check the attachment for the diagram of the triangular dots that completes the question

From the diagram, we can see that the first triangle has 6 total dots, second has 9 total dots, third has 12 total dots;

This shows a arithmetic progression pattern of the triangles where we have our first term being 6, with our common difference being the number of dots increment on all sides as we progress which is 3

Now we want to calculate for the 200th triangle

Mathematically, the nth term of an arithmetic sequence is given as;

Tn = a + (n-1)d

where a = 6 , d = 3 and n = 200

Substituting these values in the equation above, we have

Tn = 6 + (200-1)3

Tn = 6 + 199(3)

Tn = 6 + 597

Tn = 603

Answer:

86

Step-by-step explanation:

We can set the first digit as (10x+y)

We can interchange it to be (10y+x)

X is the second digit and Y is the first.

1) (10x+y) +(10y+x) =154

2) 11x+11y=154

3) 11(x+y) =154

4) x+y=14

5) x+x+2=14

6) 2x=12

7) x=6

8) y=6+2=8 , so y =8

Answer:

A, B, D, and E

Step-by-step explanation:

recall that the inverse functions verify the identity rule that one function applied on the other will render the identity "x". It is like launching a function from a value x, and then taking the trip back to the value that originated it.

Such also implies that the domain where you started becomes the Range of the function that makes the trip back. And of course, its reciprocal: The Range of the starting function becomes the Domain of the function that gets back.

Therefore, andswers A, B, D and E are correct answers

Answer:

l0^4

2 (2)^4

I'm sorry if my answer is not helping

Answer:rut

Step-by-step explanation:

Answer:

5/216

Step-by-step explanation:

There are 5 possibilities that Annie will roll a 6 out of 36 possible outcomes and there 6 possible outcomes of Jose rolling doubles out of 36 if you multiply these possibilities 5/36 x 6/36 you get 5/216. Sorry if wrong that's what I put for my test.

Answer:

m<R=48.2 to the nearest tenth

Step-by-step explanation:

1. sin(m<T)=2/3

m<T=arcsin(2/3)=41.81 degrees

m<R=180-90-m<T=180-90-41.81=48.19 degrees

Answer:

A. Pr(8)   = 1/10

B.  Pr(odd)  = 1/2

C.  Pr(even)  = 1/2

D. Pr(less than 6)  = 1/2

E.  Pr(prime) = 2/5

F. Pr(3 or 8)  = 1 / 5

G. Pr(8, 9 or 10) = 3/10

H. Pr(greater than 9)  = P(10) = 1/10

Step-by-step explanation:

We assume a FAIR 10-faced die, meaning there is an equal probability of throwing any one of the ten numbers.

With 10 possible outcomes each with equal probability, the probability of throwing any number is 1/10.

(It is preferable to work with fractions in probability because fractions are exact numbers, while decimals can often be rounded, or truncated).

A. Pr(8)   means probability of throwing an 8,  therefore Pr(8) = 1/10

B. Pr(odd)  there are 5 odd number from 1 to 10, so Pr(odd) = 5/10 = 1/2

C. Pr(even)  there are 5 even number from 1 to 10, so Pr(even) = 5/10 = 1/2

D. Pr(less than 6)  there are 5 numbers less than 6 (between1 to 10),

       so Pr(less than 6) = 5/10 = 1/2

E. Pr(prime) (remember that 1 is not prime)

   A prime number is an integer not divisible by any number except one and itself.

   Between 1 to 10, the four prime numbers are 2,3,5,7

   therefore Pr(prime) = 4/10 = 2/5

F. Pr(3 or 8)  

(3 or 8) make 2 successful outcomes out of 10, so Pr(3 or 8) = 2/10 = 1 / 5

G. Pr(8, 9 or 10)

similarly, (8,9 or 10) make three successful possible outcomes out of 10, so

P(8,9 or 10) = 3/10

H. Pr(greater than 9)

there is only one successful outcome, namely "10" out of 10 possible outcomes.  So

P(greater than 9) = P(10) = 1/10

1. please explain what’s a “die” all I know was “dice” but dice is 6 sided yea?

A die is singular for dice, which can take up any number of faces.  With a 10-faced solid, we can make a 10-faced die numbered 1 to 10.

2. and please explain the answer... I’m international student so I still need some explanation for the questions and answers thank you

See solutions above.

Answer:

Remember that standard probabilities are defined as the ratio between the number of favorable cases, and the total number of possible events.

In this case, we have a 10-sided die, which means its faces are numbered from 1 to 10, which gives us 10 total number of possible events. In other words, the denominator of the ratio is going to be 10.

Now we're able to find each probability.

[tex]P_{8} =\frac{1}{10}=0.10[/tex]

The numerator is 1 because there's only one number 8 in the die, that means the number of favorable cases is 1, and, as we said before, the total number of possible events is 10.

[tex]P_{odd} =\frac{5}{10}=0.5[/tex]

The numerator is 5 because there are 5 odd numbers from 1 to 10. In other words, there are 5 favorable cases to this probability.

[tex]P_{even}=\frac{5}{10}=0.5[/tex]

There are 5 even numbers from 1 to 10, that's why we had the same probability.

We know that there are only 5 numbers less than 6 for this die.

[tex]P_{<6}=\frac{5}{10}=0.5[/tex]

A prime number is such that it can be divided only by itself and the unit. So, there are four prime numbers from 1 to 10, which are 2, 3, 5, 7.

[tex]P_{prime}=\frac{4}{10}=0.4[/tex]

When we are going to find the probability of an event "or" another, we must sum those favorable cases.

[tex]P_{3 \ or \ 8} =\frac{1+1}{10}=\frac{2}{10}=0.2[/tex]

In this case, we need to some all three favorable cases. The die has only one 8, one 9 and one 10. So, the probability is

[tex]P_{8,9,10}=\frac{1+1+1}{10}=\frac{3}{10} =0.3[/tex]

We know that there's only one number greater than 10 on such die.

[tex]P_{>10}=\frac{1}{10}=0.1[/tex]

Lastly, "die" refers to this special 10-sided dice. In other problems, you can find "a die" with more faces even. But, in general, "die" refers to a dice.

Answer:

The difference in their wages is because the quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.

Step-by-step explanation:

Bruno is a dishwasher

Charlie is a cook

Bruno earnings=$x

Charlie earns $2 more than his twin Bruno

Charlie earnings= $x+2.00

At the same restaurant for an hourly rate

The difference in the wages of Bruno and Charlie is as a result of the productivity of labor

The quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.

Answer:

A, B, C

Step-by-step explanation:

x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C

Answer: A, B, C

Answer:

[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]

[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]

Step-by-step explanation:

Look at the picture

Answer:

The answer is 11 300.06

[tex](4 \times 1000) + (3 \times 100) + (6 \times \frac{1}{100}) + (7 \times 1000) [/tex]

[tex] = 4000 + 300 + \frac{6}{100} + 7000[/tex]

[tex] = 11 \: 300 + 0.06[/tex]

[tex] = 11 \: 300.06[/tex]

Answer:

C

Step-by-step explanation:

The required graph has been attached below which shows the boat's value decreasing at a rate of 40% per year.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A boat's value over time is given as the function f(x) and graphed below.  A(x) = 400(b)ˣ + 0 as the parent function.

Given that the boat's value decreases at a rate of 40% per year.

So after each year, the value becomes = 1 - 40% = 1 - 0.40 = 0.60 of the previous year.

So the equation becomes: A(x) = 400(0.60)ˣ + 0

Since, b = 0.60 < 1, so A(x) is a decreasing function. And for every value of x, A(x) > 0.

The attached graph meets these requirements.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

Answer: [tex]f^{-1}(1)+f(-14)=20[/tex]

[tex]f^{-1}(-2)=10[/tex]  

Step-by-step explanation:

The given table :

x: -14,-7,-12,9,10,-2

f(x):11,-12,5,1,-2,13

Since f is invertible ( given) , then [tex]f^{-1}(x)[/tex]  exists.

Now , from table [tex]f^{-1}(1)=9[/tex]  [ x= 9 corresponding to f(x) =1]

[tex]f(-14)=11[/tex]                            [ f(x) = 11 corresponding to x=-14]

then, [tex]f^{-1}(1)+f(-14)=9+11=20[/tex]

So, [tex]f^{-1}(1)+f(-14)=20[/tex]

Also, x= 10 corresponding to f(x) =-2, then

[tex]f^{-1}(-2)=10[/tex]  

Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.

This means HG and HG are perpendicular and we have a right angle.

We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.

All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:

[tex]180-90-43[/tex]

[tex]=47[/tex]

The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!

Answer:

<G = 47 degrees

Step-by-step explanation:

For this problem, we need to understand two things.  This tangent on the circle, with a line drawn to the center, forms a right angle at H.  Additionally, the sum of the angles of a triangle is 180.  Now with these two things, let's solve.

<G = 180 - (43 + 90)

<G = 180 - 133

<G = 47 degrees

Hope this helps.

Cheers.

Answer:

arc KL=minor arc

arc LJK=major arc

Step-by-step explanation:

so minor arc is a arc which is larger than a semicircle .

a major arc is a circle having measure less than radians.

Answer:

Option D

Step-by-step explanation:

H(x) = 3^(2x)

G(x) = reflecting H(x) across the y-axis and shifting 2 units down

=>G(x) = 3^(-2x) - 2

3^(2x) and 3^(-2x) - 2 are valid with all values of x.

=> There is no change in the domain of H(x) and G(x), in which all values of x satisfy H(x) and G(x).

3^(-2x) > 0

=> G(x) =  3^(-2x) - 2 > -2

=> Range of G(x) is from -2 to inifinity

Answer:

D.

Step-by-step explanation:

Well lets graph it first,

Look at the image below↓

So the red line is the new line which has been reflected and shifted down 2.

Meaning the domain turns into positive numbers but still remains infinite.

And the range changes

So we can cross out A and B.

Before the range was lower than 1 and now its (-2,∞)

Thus,

answer choice D is correct.

Hope this helps :)

Answer:

  –90° and 630°

Step-by-step explanation:

The described angle will be -90° plus any integer multiple of 360°. Possible values for the angle are ...

  -90° and 630°

_____

Angles are conventionally measured counterclockwise from the positive x-axis. The angle shown in the attachment is measured clockwise, so represents a negative 90° angle.

Answer:

–90° and 630°

Step-by-step explanation:

The answer above is correct.

Answer:

8/9

Step-by-step explanation:

2/3 + 1 / ( 2 2/5) - 1/x = 1/3 -  1 / ( 2 2/3)

Changing to improper fractions

2 2/5 = ((5*2+2) / 5 = 12/5

2 2/3 = ( 3*2+2) /3 = 8/3

2/3 + 1 / ( 12/5) - 1/x = 1/3 -  1 / ( 8/3)

1 over and improper fraction flips the improper fraction  1 / ( a/b) = b/a

2/3 + 5/12 - 1/x = 1/3 -3/8

Subtract 2/3 from each side

5/12 -1/x = 1/3 -2/3 -3/8

5/12 -1/x =  -1/3 -3/8

Subtract 5/12 from each side

-1/x =  -1/3 -3/8-5/12

Multiply each side by 24 to get rid of the fractions

-24/x = -24/3 -3*24/8 -5*24/12

-24/x = -8 -9 -10

-24/x = -27

Multiply each side by x

-24 = -27x

Divide by -27

-24/-27 =x

8/9 =x

Answer:

n=2

Step-by-step explanation:

⁴/5n-¹/5=²/5n

first we remove the denominators by multiplying all the numbers with their lcm

Lcm of 5n and 5 is 5n thus:

(5n×⁴/5n)-(¹/5×5n)=²/5n×5n

4-n=2

4-2=n

n=2

insert 2 insted of n

⁴/5(2)-¹/5=²/5(2)

⁴/10-¹/5=²/10. simplify

²/5-¹/5=¹/5

¹/5=¹/5

so the correct value of n is 2

Answer:

The answer is B

Answer: B

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

All you need to do is find which of following is a whole number or integer.

Answer:

Area of the triangle = 0

Step-by-step explanation:

We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)​

The formula to find the Area of the triangle =

1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Where :

(x₁, y₁) =  (- 8,4 )

(x₂, y₂) = (- 6,6)

(x₃, y₃) =  (- 3,9)

Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]

= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]

= 1/2[ 24 - 30 + 6)

= 1/2[ 24 + 6 - 30]

= 1/2 [30 - 30]

=1/2[ 0 ]

= 0

Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9)​ is ZERO( = 0 )

Answer:

See Attachment for graph

Step-by-step explanation:

Given

Point C

Required

Plot C when dilated by 1/2

First, we have to determine the coordinates of point C

From the attached graph;

[tex]C = (0,6)[/tex]

Next, is to determine the new point when dilated;

This is calculated as thus;

[tex]New\ Point = Old\ Point * Scale\ Factor[/tex]

[tex]C' = (0,6) * \frac{1}{2}[/tex]

Expand the bracket

[tex]C' = (0 * \frac{1}{2}, 6* \frac{1}{2})[/tex]

[tex]C' = (0, \frac{6}{2})[/tex]

[tex]C' = (0, 3)[/tex]

This implies that C' will be plotted at x =0 and y = 3

(See attached for point C')

Answer:

(0,3)

Step-by-step explanation:

Answer:

D)

[tex]5 \times {10}^{ - 12} [/tex]

Step-by-step explanation:

velocity(v) = distance/time

but distance =

[tex]3 \times {10}^{ - 4} [/tex]

and velocity =

[tex]6 \times {10}^{7} [/tex]

[tex]6 \times {10}^{7} = \frac{3 \times {10}^{ - 4} }{time} [/tex]

[tex]time = \frac{3 \times {10}^{ - 4} }{6 \times {10}^{7} } [/tex]

[tex]time = 5 \times {10}^{ - 12} [/tex]

Answer:

x = 45

Step-by-step explanation:

Since ray IK║EH and IG is a transverse,

∠GIK ≅ ∠IGF [Corresponding angles]

Therefore, m∠IGF = x

Since, m∠JIF + m∠GIF = 180° [Supplementary angles]

2x + m∠GIF = 180°

m∠GIF = (180 - 2x)

Similarly, m∠IFE + m∠IFG = 180°

3x + m∠IFG = 180°

m∠IFG = (180 - 3x)

By the property of a triangle,

"Sum of all interior angles of a triangle is 180°"

m∠IGF + m∠GFI + m∠FIG = 180°

x° + (180 - 2x)° + (180 - 3x)° = 180°

(x - 2x - 3x) + 360 = 180

-4x + 360 = 180

4x = 360 - 180

4x = 180

x = 45