Suppose one card is drawn at random from a standard deck.Answer each part. Write your answers as fractions in simplest form

Answer:

4x - 7

Step-by-step explanation:

Answer:

Donna spent 80% on fruit.

Step-by-step explanation:

First, we know that she spent $64 on fruit. We also know that she spent a total of $80. Then, we take 64/80. This gives us 0.8. Move the decimal two to the right and you have the percentage, 80%.

The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

Learn more about Equations solving here :

https://brainly.com/question/29783048

#SPJ1

A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

To know more about Expressions visit,

https://brainly.com/question/1859113

#SPJ4

Answer:

the complement of 37 degrees is 53 degrees.

Step-by-step explanation:

90-37=53

The point does not lie on the center of the circle.

The point (5, 11) does not lie on the circle centered at the origin and containing the point (2, 5√).

The center of the circle in question is the origin (0, 0). The point (2, 5√) lies on the circle, so we need to check if the distance between the origin and (5, 11) is equal to the radius.

To determine if a point lies on a circle, we can calculate the distance between the center of the circle and the given point. If the distance is equal to the radius of the circle, then the point lies on the circle.

The distance between two points in a coordinate plane can be calculated using the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Calculating the distance between the origin and (5, 11), we have:

d = sqrt((5 - 0)^2 + (11 - 0)^2) = sqrt(25 + 121) = sqrt(146)=12.083.

Since the distance, sqrt(146), is not equal to the radius of the circle, the point (5, 11) does not lie on the circle centered at the origin and containing the point (2, 5√).

Learn more about Circle origin here:

brainly.com/question/1402846

#SPJ11

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

Step-by-step explanation:

310/100 × 72

= 223.2

using fraction × total

hope you understand.

pls like and follow :-):-)

Answer:

sorry I really need these points im so so sorry bro I need it too pass highschool

Step-by-step explanation:

Because number line divide into 2 parts, so denominator of fraction is 2

whole number 1, fraction = 2/2

whole number 2, fraction = 4/2

whole number 3, fraction = 6/2

Coefficient values weight varies by 25%, which is explained by the link with height.

Coefficient values have always been around -1 and 1, with -1 reflecting perfect negative linear correlation and 1 indicating perfect positive linear correlation.

The correlation coefficient in a correlation study reflects the strength of the linear relationship between two variables.

r represents the correlation coefficient.

Given this, the adult height-weight correlation is -0.50.

r = -0.50

The weight variance is, r² = (-0.50)² = 0.25

As a result, the weight variation is 25%, which is explained by the height relationship.

To learn more about the coefficient in a correlation at

https://brainly.com/question/17438225?referrer=searchResults

#SPJ4

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

Learn more about: Parabola

brainly.com/question/11911877

#SPJ11

Answer:

x = -2

y = 6

Step-by-step explanation:

Part A

If she multiplies the 1st equation by 5, then she should multiply the 2nd equation by -3.  Then add the two results

(1)      2x + 3y = 14            (2)     7x + 5y = 16

        10x + 15y = 70                 -21x - 15y = -48

        -21x - 15y = - 48

         -11x          = 22

             x = - 2                          7(-2) + 5y = 16

                                                    -14 + 5y = 16

                                                            5y = 30

                                                              y = 6

Check:  Substitute values in (1)   2(-2) + 3(6) = -4 + 18 = 14   Yea!   they work

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

Learn more about z-score at: https://brainly.com/question/15016913

#SPJ4

Answer:

Answer:

35%

Step-by-step explanation:

In general to find %, divide the subset by the total amount and multiply by 100:

1015 / 2900 * 100 = 35%

Answer:

I'm assuming you want me to do 18-23?  Okay:

Step-by-step explanation:

18) 8.6(10^−4)+6.7(10^−5)

=0.000927 --> 9.27 × 10^-4

19)  3.5(10^3)−9(10^1)

=3410 --> 3.41 × 10^3

20)  5.6(10^4)(4.5(10^6))

=252000000000 -->  2.52 × 10^11

21)  7.6(10^−7)(8.9(10^−2))

=0 --> 0

22)  3.9(10^−12)/4(10^4)

=0 --> 0

23)  1.75(10^5)/5(10^−3)

=35000000 -->  3.5 × 10^7

-

Please comment below if you would like me to solve #24 :)

The bolded numbers are the answer, the underlined numbers are to show the question number.  Hope this helped !!

Answer:

hike 2 = -62

hike 3= -38

hike 4 = -225

The total number of people in the family that generates 20 loads of laundry in a week is 10.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of people and x represent the number of laundry loads.

From the table:

y = (1/2)x

For 20 loads:

y = (1/2) * 20 = 10

The total number of people in the family that generates 20 loads of laundry in a week is 10.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The word problem described by this division expression would be: "A grocery store sold 144 pieces of fruit, with 12 more apples sold than oranges. How many oranges were sold?"

One afternoon, a local grocery store sold 144 pieces of fruit, which included both apples and oranges. If there were 12 more apples sold than oranges, how many oranges were sold?

To solve this problem, we can use division by dividing the total number of fruits sold by the difference in the number of apples and oranges sold. The division expression would be:

Number of oranges sold = (total number of fruits sold) ÷ (difference in the number of apples and oranges sold)

So, the word problem described by this division expression would be: "A grocery store sold 144 pieces of fruit, with 12 more apples sold than oranges. How many oranges were sold?"

Learn more about division expression

https://brainly.com/question/29600163

#SPJ4

Answer:

Sure I'll try to help but im in 6th grade if your work is higher u can report my answer and find a new person to help you :)

Step-by-step explanation:

We know , \( \boxed{ \sf{Interest = Principal \times Time \times Rate}}\)

Looking at the formula of simple interest , the three factors that determine simple interest should be :

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The volume of the square pyramid with base area of 625 square meters and a height of 30 meters is 625 cubic meters

From the question, we are to determine the volume of the given square pyramid

The volume of a square pyramid is given by

V = 1/3Ah

Where V is the volume of the square pyramid

A is the base area

and h is the height of the pyramid

From the given information,

A = 625 m²

h = 30 m

Thus,

V = 1/3 × 625 × 30

V = 6250 m³

Hence, the volume is 6250 m³

Learn more on Volume of a square pyramid here: https://brainly.com/question/18994842

#SPJ1  

Answer:

x (in simple terms)< -11/7 or -1 4/7

Step-by-step explanation:

1) Place x on one side: The point of this is to islolate x (and to keep things simple make x a positive variable if you can). One way of doing this is adding 8x on both sides what we now get is 14 < 14x + 36

2) Subtract 36 on both sides: We doing this for the same reason as the 1st step which is to islolate x so after this the new equation is -22 < 14x

3) Divide 14 on both sides: Since we aren't dividing by a negative number the sign remains the same the answer is -22/14 < x or x> -22/14 but to simply find the greatest common factor for both the numberator and demonationr which is 2 and divide from there the answer is x> -11/7 or x> -1 4/7

Difference of (-x² + 9xy) and  (x² + 6xy - 8y²) is - 2x² + 3xy + 8y².

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Given expression,

(-x² + 9xy) - (x² + 6xy - 8y²)

Distributing negative sign

-x² + 9xy - x² - 6xy + 8y²

Adding like terms

- 2x² + 3xy + 8y²

Hence, - 2x² + 3xy + 8y² is the difference of (-x² + 9xy) and (x² + 6xy - 8y²).

Learn more about subtraction here:

https://brainly.com/question/1927340

#SPJ1

The formula to calculate the missing arc is,

where,

Therefore,

Hence, the answer is

Answer:

b. five less than the sum of 9 and y

Answer:

Start at origin (0,0)

Move 1/2 units left

Move 1 and 1/2 units down

Place your point

Step-by-step explanation:

Start at the origin (0,0)

Move 1/2 units to the left

Then move 1 1/2 units down, and place your point.

The first coordinate is locating the position horizontally, or on the x axis

The second coordinate is locating the position vertically, or on the y axis.

If there is a negative number on the x coordinate, the first one, you move left.

If positive, you move right.

If there is a negative number on the y coordinate, the second one, you move down.

If positive, you move up.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

move toward left of the horizontal x axis then plot the point in between o and -1.For next point then move down the vertical y axis and plot the point in between -1 and -2 .

Step-by-step explanation:

Hope this helps u!!