Andre and Sally are playing a number game. Andre tells Sally, "I'm thinking of a number between 1 and 20. If I take the number and add 5, and then subtract 3, I get 19." What number is Andre thinking of?

Option B is correct. The measure of m<RSP  is 49 degrees

From the diagram shown

3x + 2x + 1 + 8y - 13 = 180

5x + 8y - 12 = 180

5x + 8y = 180  + 12

5x + 8y = 192 ................. 1

Also, since PQ is parallel to PS, hence;

5y +14 = 8y - 13 (alternate interior angle)

5y - 8y = -13 - 14

-3y = -27

y = 27/3

y = 9

Substitute y = 9 into equation 1

5x + 8y = 192

5x + 8(9) = 192

5x + 72 = 192

5x = 192 - 72

5x = 120

x = 120/5

x = 24

Get the measure of <RSP

m<RSP = 2x + 1

m<RSP = 2(24) + 1

m<RSP = 48 + 1

m<RSP  = 49degrees

Hence the measure of m<RSP  is 49 degrees

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Answer: Kites, 1.5

Step-by-step explanation: Here to help from da interim checkpoint :)

What is the answer because I don't get it

Answer:

The correct answer is D

Step-by-step explanation:

36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.

Answer:

D

Step-by-step explanation:

you divide the x and y axis by 3

Got it right on EDG

The equation of the line that passes through the point (22,12) and has a slope of 4 is; y = 4x - 76

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Where x₁ - x coordinate and y₁ - y coordinate

Point (22,12)

Then Slope m =4

Now Write the equation as

y - 12 = 4(x - 22)

y = 4x - 76

Hence, the standard form of the line is; y = 4x - 76

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Answer:

52 feet

Step-by-step explanation:

In an equilateral triangle, all three sides are equal in length.

If we let s represent the length of one side, the perimeter P of the triangle can be expressed as:

[tex]P = 3s[/tex]

Given that the perimeter is 156 feet, we can set up the equation:

[tex]3s = 156[/tex]

To find s, divide both sides of the equation by 3:

[tex]\dfrac{3s}{3}=\dfrac{156}{3}[/tex]

[tex]s=52[/tex]

Therefore, the length of each side of the equilateral triangle is:

[tex]\large\boxed{52 \textsf{ feet}}[/tex]

Answer:

Step-by-step explanation:

= 10(1+1)^4 the final answer is 160

How I got 4 is you divide 30\ 120 =4

After 120 days there will be 160 rabbits on the farm.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Rabbits population can double every 30 days.

Initially there are 10 rabbits in a farm.

So, after 30 days there would be 10 × 2 = 20 rabbits.

After next 30 days, there would be

20 × 2

= 10 × 4

= 10 × 2²

= 40 rabbits.

Let t be the number of days and x be the number of rabbits.

So, we have an equation:

[tex]x=10\times2^{\frac{t}{30} }[/tex]

No, we find the number of rabbits after 120 days.

t = 120

So, the equation becomes,

[tex]x=10\times2^{\frac{t}{30} }\\\\x=10\times2^{\frac{120}{30} }\\\\x=10\times2^{4}\\\\x=10\times 16\\\\x=160[/tex]

Therefore, after 120 days there will be 160 rabbits on the farm.

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Answer:

D. Neither collinear nor coplanar

Step-by-step explanation:

We know that,

Collinear points - are the points which lie in the same straight line.

Coplanar points - are the points which lie in the same plane.

From the figure, we see that,

The points A, S, and R lie in the same line but Q does not lie in the same line.

The points A and Q lie in the same plane but others do not lie in the same plane.

Hence, we get,

These points are neither collinear nor coplanar.

Thus, option D is correct.

put 7.6*10^-4 into the given formula as the denominator of the fraction:

10log(1/7.6*10^-4) =  31.19

Answer: A. [tex]\dfrac{1}{2}x+y=3[/tex]

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Then the equation of a line passing through two points (0,3) and (6,0) is given by :-

[tex](y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3[/tex]

Hence, the equation which is graphed in the given picture :-

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

Answer: 363242880

Step-by-step explanation:

We know that the of to calculate the number of combinations, we use the formula :-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex], where n : the total number of items

r: the number of items being chosen at a time.

Given: The total number of scarves contained in a box= 14

The number of scarves picked = 4

The number of different combinations is given by :-

[tex]^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880[/tex]

Hence,  If 4 scarves are picked randomly from the box, 363242880 different combinations are possible if the order doesn't matter.

Answer:

coresponding angles buddy

Step-by-step explanation:

Answer:

6, 8, 10, 12

Step-by-step explanation:

x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.

4x + 12 = 36

24 = 4x

x = 6

The drink costs $3 for each.

The correct option is (D)

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Number of drinks= 4

Cost of Nachos = $6.

Total money spend =$18

After removing the prices from total money spend, we will get the price for 4 drinks

So, 18-6= $12

Cost for 4 drinks =12

Cost of 1 drink =12/4 = $3

Hence, each drink cost $3.

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7/8=0.875

42/48=0.875

Hope this helps!

The original price of the dress purchased by Suzie is given by the equation A = $ 32

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original price of the dress be A

Now , the equation will be

The cost of the purchase = $ 27.20

The percentage of the cost of purchase = 85 %

So ,

The original price of the dress x percentage of the cost of purchase = cost of the purchase

Substituting the values in the equation , we get

A x ( 85/100 ) = 27.20

On simplifying the equation , we get

Multiply by 100 on both sides of the equation , we get

85A = 2720

Divide by 85 on both sides of the equation , we get

A = 2720/85

A = $ 32

Therefore , the value of A is $ 32

Hence , the original price of the dress is $ 32

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divide feet by seconds

644.8 / 31 = 20.8 feet per second

Answer:

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

First, draw a normal distribution plot to use for the analysis of the data. Starting at the mean in the centre. Add one standard deviation for each interval to the right, and subtract one standard deviation for each interval to the right. See attached image. According to the empirical rule, 68% of data lies within one standard deviation of the mean, 95 % of the data is within two st. dev. and 99.7% of the data is within 3 st. dev. of the mean.

From the graph it can be deducted that half of the data will lie below 50, which makes it 50%.

An easier way of determining the answer is to use the definition of a mean. A mean is the number that,when all the data is placed in ascending order, lies right in the middle of all the data.

In a normal distribution, 50% of the values lie below the mean. Therefore, 50% of the bags will weigh less than 50 lbs.

The question involves understanding the properties of a normal distribution where the mean weight of the bags is 50 lbs, and the standard deviation is 1.5 lbs. To determine the percentage of bags weighing less than 50 lbs, we look at the standard normal distribution. Since 50 lbs is the mean, exactly 50% of the bags will weigh less than this amount. This is because, in a normal distribution, the mean divides the distribution so that half the values are below the mean and half are above it.

Answer:

2.95 x + 39.95 (12)

Hope this helps!!

The yearly cost for a student's movie rentals with a monthly subscription fee and a per-movie fee is expressed as $479.40 + $2.95x, where x is the number of movies rented.

The yearly cost for x movie rentals from an on-demand movie company that charges a monthly fee and a per-movie fee can be represented by an algebraic expression. To find this expression, we need to account for both the monthly fee and the cost per movie.

The monthly fee is $39.95, so over one year, this fee would be 12 times $39.95.

For each movie rented, there is an additional charge of $2.95. If x movies are rented over a year, this cost is x times $2.95.

Combining these two costs gives us the total yearly cost:

Yearly Cost = (12 \(\times\) $39.95) + ($2.95 \(\times\) x)

This can be simplified to:

Yearly Cost = $479.40 + $2.95x

[tex]\[ y = x + 2 \][/tex]  is the equation in slope-intercept form.

To find the equation of a line given its slope and y-intercept, we use the slope-intercept form: ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

Given that the slope ( m = 1 ) and the y-intercept ( b = 2 ), we substitute these values into the equation:

[tex]\[ y = 1x + 2 \][/tex]

[tex]\[ y = x + 2 \][/tex]

This is our equation in slope-intercept form.

Now, let's show the detailed calculation:

1. Start with the slope-intercept form: ( y = mx + b ).

2. Substitute ( m = 1 ) and ( b = 2 ) into the equation: ( y = 1x + 2 ).

3. Simplify: ( y = x + 2 ).

So, the equation of the line is \( y = x + 2 \). This means the line has a slope of 1 and passes through the point (0,2) on the y-axis.

Answer:

12.5%

Step-by-step explanation:

We have been given that Leslie has a total monthly budget of $4000 and spends $500 on a car payment.

To find the percentage of her monthly budget is dedicated to the car payment, we will find 500 is what percent of 4000.

[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{500}{4000}\times 100\%[/tex]

[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{50}{4}\%[/tex]

[tex]\text{Leslie's monthly budget dedicated to car payment}=12.5\%[/tex]

Therefore, 12.5% of Leslie's monthly budget is dedicated to the car payment.