2x+y=5, x+y=2. solve graphically​

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

Learn more about proportions and percentages at https://brainly.com/question/9184010

#SPJ1

Answer:

XER (X are all real numbers)

Step-by-step explanation:

as;dbdjkdbusaj hfsvd

Answer:

The confidence interval is 73 ± 4.8

Step-by-step explanation:

Here, we want to construct a 99% confidence interval

Mathematically;

mean ± Z * S.D/√n

From the question

mean = 73

SD = 11.7 ounces

Z score = 2.576 for 99% Confidence interval

n = sample size = 40

Thus;

73 ± (2.576 * 11.7)/√40

73 ± 4.8

So the range of values are;

73 + 4.8 and 73-4.8

= 77.8 and 68.2

The lower boundary is 68.2

The upper boundary is 77.8

Answer:

D

Step-by-step explanation:

Quotient means that it is a division equation.

Hope this helps!

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

Read more about average rate of change at

https://brainly.com/question/8728504

#SPJ1

Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

Answer:0.26

How did i get that answer you ask?

i divide

Given:

Cone with radius 8 feet, and height 12 feet

Recall that the formula for determining the volume of cone is

Given the following dimensions, substitute r = 8 ft, and h = 12 ft.

The value of the the two numbers are 5/8and 1/6

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y.

They are called simultaneous equations because the equations are solved at the same time.

if the first number is x and second number is y then

x+y= 19/24 equation 1

x-y= 11/24 equation 2

using elimination method, subtract equation 1 from 2

x-x+y-(-y)=19/24-11/24

2y= 8/24

2y=1/3

divide both side by 2

y= 1/3×1/2= 1/6

substitute 1/6 for y in equation 2

x+1/6=19/24

x= 19/24-1/6

x= 15/24

x= 5/8

Therefore the value of the two numbers is 5/8 and 1/6

learn more about Simultaneous equation from

https://brainly.com/question/16863577

#SPJ1

Answer:

x≤10

Step-by-step explanation:

2x-15≤5

+15 (both sides)

2x≤20

divided by 2 (both sides)

x≤10

Answer:

x ≤ 10

Step-by-step explanation:

2x-15≤5

    +15≤+15

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

2x ≤ 20

2x ≤  2x

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

x ≤ 10

Answer:

Step-by-step explanation:

Answer:

At point A

Step-by-step explanation:

As the x axis has -2 and y axis has 1

They are present in second quadrant

so (1,-2) is in point A

Answer:

Value of r = 18

Step-by-step explanation:

Make sure the base units are the same!!

This rectangular prism is known as a cuboid

Based on one of the three perspectives:

l = Length of rectangular base

 = r cm

w = Width of rectangular base

   = 11 cm

h = Height of prism or cuboid

  = 18 cm

Surface area of cuboid = 2 × [l × w + w × h + h × l]

Apply BODMAS. Expand the parentheses starting from the innermost and making your way outwards. Then bring like terms and add them:

                          1440 = 2 × [(r × 11) + (11 × 18) + (18 × r)]

                          1440 = 2 × [11r + 198 + 18r]

                          1440 = 2 × [29r + 198]

Expand the last set of brackets by applying Distributive Law:
                          1440 = 58r + 396

r is to be isolated and made the subject of the equation:

                            58r = 1440 - 396

                            58r = 1044

                                r = \(\frac{1044}{58}\)      

                            ∴ r = Length of rectangular base = 18 cm        
                         
 

yea so immma not do this one let this be and example already did one for ya so keep it up and just keep on s

Answer: 32%  

Step-by-step explanation:

Answer:

I got a decimal

Step-by-step explanation:

0.857142857

Answer:

Step-by-step explanation:

The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

To learn more about the right angle visit:

https://brainly.com/question/3770177.

#SPJ1

The given information is:

The radius of the circle is 21 cm

The circle fits exactly into the square.

(i) The radius is half the diameter of the circle, then the diameter is:

As the circle fits exactly into the square, then the measure of the diameter is the same as the measure of the side of the square.

The area of the square is given by:

Where s is the measure of the side. As s=42 cm, then the area is:

The area of the square is 1764 square centimeters.

(ii) Given that pi=22/7 determine the area of the shaded region.

To find the area of the shaded region, we need to subtract the area of the circle from the area of the square.

The area of the circle is given by the following formula:

As r=21 cm, then A is equal to:

The area of the shaded region is then:

The area of the shaded region is 378 square centimeters.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

For similar question on cuboid.

https://brainly.com/question/29568631  

#SPJ8

The surface area of the rectangular prism is 368 square centimeter.

Given that, dimensions of the rectangular prism are length=14 cm, width=5 cm and height=6 cm.

We know that, the surface area of the rectangular prism = 2lw+2lh+2hw.

Here, the surface area = 2×14×5+2×14×6+2×6×5

= 368 square centimeter

Therefore, the surface area of the rectangular prism is 368 square centimeter.

Learn more about the surface area of a cuboid here:

https://brainly.com/question/26403859.

#SPJ1

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

For more such information on: expression

https://brainly.com/question/1859113

#SPJ8

The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

To know more about interquartile here.

https://brainly.com/question/29173399

#SPJ4

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

Learn more on the area of a rectangle here: https://brainly.com/question/26303775

#SPJ1

When the acceleration is 7 m/s², it means that the force will be 70 N.

From newton's first law of motion, we know that;

F = ma

where;

m is mass

a is acceleration

We are given;

F = 60 N

a = 6 m/s²

Thus;

m = F/a = 60/6

m = 10 kg

When acceleration is 7 m/s², we have;

F = 10 * 7

m = 70 N

Read more about force at; https://brainly.com/question/20005124

#SPJ1

The percentage of saline solution in brand B is 3%. Then the correct option is C.

Let x be the percent of saline solution in brand B.

Since Danielle combined brands A and B to create a total of 18 gallons of 8% saline solution, we know that the total volume of saline solution in the combination is 18% of 6 gallons + x% of (18 - 6) gallons.

Thus, we can set up the equation:

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

If two cities on map are \(5\frac{3}{4}\) inches apart, then the actual distance between the cities is 345 miles .

In the question ,

it is given that ,

the scale on the map is 1/2 inches is = 30 miles .

So , 1 inches on the map is = 60 miles.

So , the scale factor is 1 inch = 60 miles .

also given that the distance between the two cities on the map is = \(5\frac{3}{4}\) inches ,

means , 23/4 inches .

So , the actual distance is = 23/4 × 60

Simplifying further ,

we get ,

= 345 miles .

Therefore , the actual distance is 345 miles , the correct option is (d) .

The given question is incomplete , the complete question is

The scale on a map reads 1/2 inch = 30 miles. If two cities on the map are \(5\frac{3}{4}\) inches apart, find the actual distance between the cities.

A. 300 miles

B. 315 miles

C. 327 miles

D. 345 miles

Learn more about Scale here

https://brainly.com/question/199868

#SPJ4