At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next day he returned and bought 5 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days? 8x Plus 5y 8y Plus 5x 6y + 7x 6x + 7y

Answer:

24 unit²

Step-by-step explanation:

use Pythagoras to calculate the height of triangle

which gives you 6 √100-64

then half hight x base

Answer:

The two numbers are:

8 and 13

Step-by-step explanation:

a = 2b - 3       Eq. 1

a + b = 21        Eq. 2

Replacing Eq. 1 in Eq. 2:

(2b-3) + b = 21

3b - 3 = 21

3b = 21 + 3

3b = 24

b = 24/3

b = 8

from Eq. 1

a = 2*8 - 3

a = 16 - 3

a = 13

Check:

From Eq. 2:

a + b = 21

13 + 8 = 21

Answer:

[tex]a = 18 \sqrt{3} [/tex]

[tex]c = 36[/tex]

The number of quasi-prime numbers that are less than 500 = 92

Quasi-prime numbers are those numbers that are also known as semi prime numbers which can not be divided by 2,7 or 11.

They are often derived from prime numbers which are 95 in number from 2 - 499. ( less than 500).

The 95 prime numbers - 3 numbers( such as 2,7 or 11) = 92

Therefore, the number of quasi-prime numbers that are less than 500 = 92

Learn more about prime numbers here:

https://brainly.com/question/145452

#SPJ1

Answer:

[tex] \pink{ \rule{1pt}{3000000pt}}[/tex][tex] \red{ \rule{1pt}{3000000pt}}[/tex][tex] \purple{ \rule{1pt}{3000000pt}}[/tex]

The question posed in the task content is a goal seeking analysis type of question.

How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes is a goal seeking analysis question.

A goal seeking analysis question is a type of question which helps to determine the efficient and effective measure of achieving a goal either individually or in a group.

The question will help the manager of the restaurant to determine how many servers is needed in order to reduce the waiting time of customers.

Complete question:

The question "How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes?" is a type of

a. goal-seeking analysis.

b. what-if analysis.

c. sensitivity analysis.

d. utility modeling.

a. goal-seeking analysis.

Learn more about goal:

https://brainly.com/question/1512442

#SPJ1

The two triangles are similar by SSA similarity. Option B is correct.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.

From the triangle ABC and DEC

The ratio of the sides is;

[tex]\rm \frac{10}{12}= \frac{8}{9.6} \\\\ \frac{5}{6}= \frac{5}{6}[/tex]

One angle c is common in the two triangles.

The two triangles are similar by SSA similarity.

Hence, option B is correct.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ1

Answer:

Step-by-step explanation:

Is there a graph or more information?

Answer:

sin D = 28/53

Step-by-step explanation:

sin D = opp/hyp

For angle D, the opposite leg is FE with length 28.

The hypotenuse is DE with length 53.

sin D = 28/53

Answer: sinD=28/53.

Step-by-step explanation:

[tex]sinD=\frac{FE}{DE} =\frac{28}{53} .[/tex]

First, we multiply the numbers : 10 x 5 = 50

Now, we multiply r squared to r^6. To do this, we add the index numbers together : r^2 x r^6 = r^(2+6) = r^8

So, the answer is 50r^8, or b.

The position of point L is halfway between points K and L

The line segment is given as:

JK

This means that the endpoints of the line are:

J and K

Also, we have:

JL = LK

So, we have:

JK = JL + LK

Substitute JL = LK

JK = JL + JL

This gives

JK = 2JL

Divide by 2

JL = 1/2 JK

Hence, the position of point L is halfway between points K and L

Read more about number line at:

https://brainly.com/question/4727909

#SPJ1

Answer:

Medians: Using the methods previously described, the medians of each

group were found to be: Low: ( , ) Medium: ( . ) High: ( . ) Use these points to find the equation of the median fit regression line. Slope: What is the slope of the median regression line? m = Jig—y" = (Round to the nearest H—xL hundredth.) Y-lntercept: What is the y-intercept of the median regression line? kW _ 3 b _ (33—(—U.01)(2300))+(27—(—0.01)(3350))+(19—(—U.01)(4400)) _ 3 m (Round to the nearest hundredth.) Regression Line: The equation of the median regression line isy= x+

The radius of the circular cross-section of the can of soup is; 3.4cm.

Since, the can has a height of 10cm and the volume of the can is 363cm³, it follows that the area of the circular cross-section can be evaluated as;

A = 363/10 = 36.3cm²

Hence, it follows that the radius can be evaluated as follows;

36.3 = 3.14 × r²

r² = 36.3/3.14

r² = 11.56

r = 3.4cm

Read more on volume of a cylinder;

https://brainly.com/question/9554871

#SPJ1

The explicit formula for the sequence is an = 5 + (n - 1)(-4)

The formula for calculating the nth term of an arithmetic sequence is expressed as:

an = a + (n - 1)d

where

a is the first term

d is the common difference

n is the number of terms

From the given data

a = 5

a2 = a1 - 4

a2 = 5 - 4

a2. = 1

d = a2 - a

d = 1 - 5

d = -4

Substitute

an = 5 + (n - 1)(-4)

Hence the explicit formula for the sequence is an = 5 + (n - 1)(-4)

Learn more on nth term of an AP here: https://brainly.com/question/19296260

#SPJ1

Answer:

96 ft^2.

Step-by-step explanation:

Area of shaded region = area of the original rectangle - area of the one removed

= 8 * 16 - 8*4

= 128 - 32

= 96

Answer: 11

Step-by-step explanation:

By the secant-secant theorem,

[tex]5(5+7)=(JK)(15)\\\\60=(JK)(15)\\\\JK=4\\\\\implies IJ=15-4=11[/tex]

Answer:

72

Step-by-step explanation:

9×8 = 72 which means that 72 is a multiple of 9 lying between 60 and 80.

Do not forget to mark as brainliest if u like my answer.

Answer:

89

Step-by-step explanation:

[tex] \sqrt{ {80}^{2} + {39}^{2} } = 89[/tex]

The distance between the top of the pillar and the foot of the shadow is  80 meters.

Let's call the distance we want to find "x".

In particular, set up the following proportion:

pillar height / shadow length = distance / shadow length

Plugin the given values

80 / 39 = x / 39

Simplifying and solving for x

x = (80 / 39) * 39

x ≈ 80

Therefore, the distance between the top of the pillar and the foot of the shadow is  80 meters.

Read about distance on https://brainly.com/question/26550516

#SPJ2

- Please see the attached picture for full solution!:)

------------- HappY LearninG <3 ---------

the average cost per class is $14.

Think of this as an algebraic equation, which would be expressed as 40+10s=total cost

The (s) would be the number of spinning classes you decide to take.

Therefore to find the average cost of the class, you would plug in 10 classes for s.

This brings the total cost to $140 dollars.

To find the average you must divide this cost by the number of classes you took.

This will be the price per class, which is $14.

Statement of the equality of two expressions formulated by way of making use of a set of variables the algebraic operations, particularly, addition, subtraction, multiplication, department, elevating to energy, and extraction of a root.

In arithmetic, an algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some area, regularly the field of rational numbers.

Learn more about algebraic equations here https://brainly.com/question/2164351

#SPJ4

Answer:

14

Step-by-step explanation:

when two lines intersect, the opposite angles are equal: vertical angles rule

this means that 88 and 6x + 4 are the same, therefore we get the equation 6x+4 = 88.

subtracting 4 from both sides, we find that 6x = 84

we get our final answer by dividing each side of the equation by 6:

x = 14

The distance travelled by the train with constant speed of r miles will be 3r.

We know the formula of distance linking the speed and the time.

Distance = speed × time

Substituting the given values to get:

Distance = r × 3

Distance = 3r

Know more about Speed with the help of the given link:

https://brainly.com/question/6280317

#SPJ4

The coordinates of D is (-8 , -16 )

Coordinates are the location of a point on the x-y plane.

It is given that the coordinates of C are  (4,4)

the midpoint of CD is at M(-2,-6)

The distance between D to the midpoint is equal to distance between C and the mid point M .

The distance between C and M is

( -2 - 4 , -6 -4 )

( -6 , -10)

Adding this to the mid point will give the location of D

(-2 -6 , -6 , -10 )

(-8 , -16 )

Therefore the coordinates of D is (-8 , -16 ).

To know more about Coordinates

https://brainly.com/question/7869125

#SPJ1

Answer:

-8, -16

Step-by-step explanation:

got it right on the est.

Variable is a data characteristic that stands for a value that changes or varies over time.

A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.

Information is that portion of the content of a signal or message which conveys meaning. (so this is the wrong option)

A fact is a quantitative piece of information - such as a sale or a download. (so this is also the wrong option)

Hence, a Variable is a data characteristic that stands for a value that changes or varies over time.

Learn more about variable here https://brainly.com/question/2804470

#SPJ4

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

A linear function is modeled by:

y = mx + b

In which:

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

A

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c (a ≠ 0 ) then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 2x² + 8x + 1 ← is in standard form

with a = 2 , b = 8 , then

x = - [tex]\frac{8}{4}[/tex] = - 2

substitute x = - 2 into the equation for corresponding y- coordinate

y = 2(- 2)² + 8(- 2) + 1 = 2(4) - 16 + 1 = 8 - 16 + 1 = - 7

vertex = (- 2, - 7 )

Answer:

$63422.42

Step-by-step explanation:

join my stream for an explanation

(ChildOfHermes)

please mark brainliest

im only streaming for 15.5 hours

Step-by-step explanation:

1. multiply by 8

2. divide by 2

Answer:

4096, 125

Step-by-step explanation:

In the first sequence, notice that each term increases by a factor of 8 (multiplied by 8 each time). Therefore, the fourth term would be 64*8 = 512, so the fifth term is 512*8 = 4096.

In the second sequence, each term decreases by a factor of 2 (divided by 2 each time). The fourth term would be 500/2 = 250, so the fifth term is 250/2 = 125.

can I get your number personally