An expression is given. ​ 26 , 091 ÷ 13 26,091÷13 ​​ What is the value of the expression?

The amount Isabella invested in the 4%, obtained using the percentage interest rates of the three investments and the annual income from the three investments is $25,000

A percentage is the expression of the ratio of two quantities as a fraction of 100.

Let x represent the amount of money Isabella invested at 3% and let 2·x represent the amount of money she invested at 4%, let (x + $500) represent the amount of money Isabella invested at 5%, we get;

The percentage of the interest rates and the her annual income from the three investments after can be used to obtain the following equation.

0.03·x + 0.04×(2·x) + 0.05 × (x + 500) = 2025

0.16·x + 25 = 2025

0.16·x = 2025 - 25 = 2000

x = 2000/0.16 = 12500

x = 12,500

The amount Isabella invested at 3% is, x = $12,500

The amount she invested at 4% = 2 × x = 2 × $12,500 = $25,000

The amount she invested at 4% is $25,000

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The measure of the supplementary angle of the given angle is equal to 19.7 degrees.

Measure of an angle is equal to 160.3 degrees

let us consider the measure of its supplementary angle is equal to x degrees.

Two angles are said to be supplementary if their sum is equal to 180 degrees.

This implies,

To calculate the measure of the supplementary angle to an angle of 160.3 degrees

= subtract 160.3 degrees from 180 degrees.

Substitute the value of an angle we get,

⇒ Measure of the Supplementary angle ' x ' degrees = 180° - 160.3°

⇒  Measure of the Supplementary angle ' x ' degrees  = 19.7°

Therefore, the measure of the supplementary angle to an angle of 160.3 degrees is 19.7 degrees.

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The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and  30 in² respectively.

In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:

Perimeter of a parallelogram = 2 x (length + width)

Area of a parallelogram = base x height

Perimeter of a triangle = sum of the lengths of its sides

Area of a triangle = 1/2 x base x height

Now, let's apply these formulas to each shape:

Parallelogram with length 6 cm and width 4 cm:

Perimeter = 2 x (6 + 4) = 20 cm

Area = 6 x 4 = 24 cm²

Triangle with base 9 cm and height 5 cm:

Perimeter = 9 + 8 + 7 = 24 cm

Area = 1/2 x 9 x 5 = 22.5 cm²

Parallelogram with length 14 ft and width 7 ft:

Perimeter = 2 x (14 + 7) = 42 ft

Area = 14 x 7 = 98 ft²

Triangle with base 12 cm and height 8 cm:

Perimeter = 12 + 8 + 10 = 30 cm

Area = 1/2 x 12 x 8 = 48 cm²

Parallelogram with length 18 m and width 5 m:

Perimeter = 2 x (18 + 5) = 46 m

Area = 18 x 5 = 90 m²

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#SPJ11Triangle with base 6 in and height 10 in:

Perimeter = 6 + 8 + 10 = 24 in

Area = 1/2 x 6 x 10 = 30 in²

Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.

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Answer:

-1.25

Step-by-step explanation:

because it is 3.4 away from -1.25

The radius of the hemisphere is 7.5 km, volume of the sphere is [tex]1767.86 km^3[/tex]and volume of the hemisphere is [tex]883.93 km^3[/tex].

What is hemisphere ?

A hemisphere is a three-dimensional geometric shape that is half of a sphere. It is a curved surface that is bounded by a circular base.

If the diameter of the hemisphere is 15 km, then the radius of the hemisphere is half of the diameter:

radius of the hemisphere = 15 km / 2 = 7.5 km

To find the volume of the sphere, we first need to find the radius of the sphere, which is the same as the radius of the hemisphere:

radius of the sphere = 7.5 km

The volume of a sphere is given by the formula:

[tex]V = (4/3)\pi r^3[/tex]

where V is the volume and r is the radius.

Using this formula with r = 7.5 km and π = 3.14, we get:

volume of the sphere = (4/3) × 3.14 × [tex](7.5 km)^3[/tex]

= 1767.86 [tex]km^3[/tex] (rounded to the nearest hundredth)

To find the volume of the hemisphere, we can use the formula for the volume of a hemisphere, which is half the volume of the sphere:

[tex]V = (1/2)(4/3)\pi r^3[/tex]

where V is the volume of the hemisphere and r is the radius.

Using this formula with r = 7.5 km and π = 3.14, we get:

volume of the hemisphere = (1/2) × (4/3) × 3.14 × [tex](7.5 km)^3[/tex]

= 883.93 [tex]km^3[/tex] (rounded to the nearest hundredth)

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7/18

Since we're talking about the number 18, I assume you're referring to the 18 letters of the English alphabet after "r." In that case, there are 7 letters in the alphabet after "r" that are not "s": "t", "u", "v", "w", "x", "y", and "z".

So the probability of choosing a letter other than "s" from these 18 letters is 7/18. Therefore, the answer is:

7/18

Answer:  D: Add the fractions together on the right side of the equation

Step-by-step explanation:

Answer: Slope is m = 3, y-intercept is (0,-24)

Step-by-step explanation: I hope this helps!

Answer:

0

Step-by-step explanation:

Solving mathematically,

(1+1)×0

1+1=2

2×0=0

The functional notation for the rolls of wristbands would be R (175 , 50) = 25.

Let's denote the number of patients per day as P and the number of wristbands per roll as W.

P = 175 and W = 50

Since there are 7 days in a week, we can represent the total number of wristbands needed per week as follows:

= P x 7

Now, write this equation using function notation:

R (P, W) = (P x 7) / W

R ( 175, 50) = (175 x 7) / 50

R (175, 50) = 1, 225 / 50 = 24.5

R (175, 50) = 25

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The analysis of the data medians in the box plots (comparison) indicates that the drive-thru that has less wait time is Super Fast Food.

The median is the mid value of the dataset (arranged in order), such that 50% of the count of the data are smaller than or equivalent to the median and 50% of the values are higher than or equivalent to the median.

The five number summary of the box plots are presented as follows;

The Fast chicken graph indicates that the wait times are;

Lowest or minimum value = 5

First quartile = 10

Median = 12.5

Third quartile = 14.5

Max value = 20

Super Fast Food graph indicates that the wait times are;

Lowest value = 3

First quartile = 8.5

Median = 12

Third quartile = 15.5

Max value = 27

The  minimum value and median value of 3 and 12 for Super Fast Food and 5 and 12.5 for Fast Chicken indicates that 50% of the sampled data spent between 3 and 12 minutes at Super Fast Food and 5 and 12.5% at Fast Chicken, which indicates that Super Fast Food has less wait time than Fast Chicken. The correct option is therefore;

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The diameter of the hemisphere is 31.2 m.

What is volume?

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.

Here  the given hemi sphere volume = 8052[tex]m^3[/tex].

Now using volume formula then,

=> Volume V =[tex]\frac{2}{3}\pi r^3[/tex] cubic unit.

=> 8052 = [tex]\frac{2}{3}\times3.14\times r^3[/tex]

=> [tex]r^3=\frac{8052\times3}{2\times3.14} = \frac{24156}{6.28}[/tex]

=> [tex]r^3=3846.49[/tex]

=> r= 15.6

Then diameter d = 2r = 2*15.6 = 31.2 m

Hence the diameter of the hemisphere is 31.2 m.

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Answer:

x = 42°

Step-by-step explanation:

Sum of the interior angles of a triangle is 180

x = 180 - 46 - 92 = 42

Answer:

the average yearly cost to own and operate this computer for the next 4 years is $697.27.

Step-by-step explanation:

First, let's calculate the electricity cost for running the Surface Book per day:

24W * 16 hours = 384 Wh

Now, let's convert the energy used to kWh:

384 Wh / 1000 = 0.384 kWh

To find the daily cost, we multiply the energy used by the cost per kWh:

0.384 kWh * $0.1233/kWh = $0.0473/day

Over 4 years, there are approximately 1,460 days:

4 years * 365 days/year = 1,460 days

So the total electricity cost over 4 years would be:

$0.0473/day * 1,460 days = $69.08

Now, let's add the cost of the replacement plan:

$80/year * 4 years = $320

Finally, we add the initial purchase cost of the Surface Book:

$2,300

To find the average yearly cost, we add up all of these costs and divide by the number of years:

($69.08 + $320 + $2,300) / 4 years = $697.27/year

Therefore, the average yearly cost to own and operate this computer for the next 4 years is $697.27.

The length of the hypotenuse is approximately 4.95 cm.

We have,

Since triangle ABC is a 45-45-90 triangle, we know that the measure of angle B is also 45 degrees.

Therefore, we can use the 45-45-90 Triangle Theorem, which states that in a 45-45-90 triangle, the length of the hypotenuse is √2 times the length of either leg.

In this case,

We know that leg a = 3.5 cm, so we can find the length of the hypotenuse c using the formula:

c = a√2

Substituting the value of a, we get:

c = 3.5√2 ≈ 4.95 cm

Therefore,

The length of the hypotenuse is approximately 4.95 cm.

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The approximate area that the Theater Club will have to paint to fill in this tree is about 14.5314 square feet.

The formula for the area of a circle is A = πr², where A is the area and r is the radius (which is half of the diameter). In this case, the trunk has a diameter of 0.2 feet, so the radius is 0.1 feet. Therefore, the area of the trunk is:

A(trunk) = π(0.1)² = 0.0314 square feet

Next, let's move on to the foliage of the tree. We can break it down into two parts: the triangular shape of the tree's body and the trapezoidal shape of the top. To find the area of the triangular shape, we can use the formula for the area of a triangle, which is:

A(triangle) = 0.5 x base x height

In this case, the base of the triangle is 3 feet (the width of the base of the tree), and the height is 5 feet (the height of the tree). Therefore, the area of the triangular shape is:

A(triangle) = 0.5 x 3 x 5 = 7.5 square feet

To find the area of the trapezoidal shape, we can use the formula for the area of a trapezoid, which is:

A(trapezoid) = 0.5 x (base1 + base2) x height

In this case, base1 is 3 feet (the width of the base of the tree), base2 is 4 feet (the width of the top of the tree), and the height is 2 feet (half of the distance between the base and the top). Therefore, the area of the trapezoidal shape is:

A(trapezoid) = 0.5 x (3 + 4) x 2 = 7 square feet

Finally, to find the total area of the tree, we just need to add up the areas of all the parts:

Total area = A(trunk) + A(triangle) + A(trapezoid) Total area = 0.0314 + 7.5 + 7 Total area = 14.5314 square feet (approx.)

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For a sample of 903 voters from Tampa.

a) The percentage of Tampa, FL voters who self-identify as conservative is equals to 41%.

b) The percent of these Tampa, FL voters who identify themselves as conservatives and are in favor of the citizenship option is equals to 6.31%.

Random or probabilistic sampling is a process in which every person in the population has an equal chance of being included in the sample. The sample is the part of the population that represents the characteristics of the population within a certain margin of error. We have a sample of 903, voters from Tampa, Florida. The table above represents valuable information. From Table we have

a) Number of voters who define themselves as conservative = 372

Total number of registered voters = 903

Percentage of votes who define themselves as conservative = [tex] \frac{372}{903}[/tex]

= 0.41196013289 = 41%

b)Number of voters who identify themselves as conservatives and are in favor of the citizenship option = 57

The Percent of voters who identify themselves as conservatives and are in favor of the citizenship =[tex]\frac{57}{903} [/tex]

= 0.0631229235 = 6.31%.

Hence, required value is 6.31%.

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Complete question:

903 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below.

a) What percent of these Tampa, FL voters identify themselves as conservatives?

b) What percent of these Tampa, FL voters identify themselves as conservatives and are in favor of the citizenship option?

The percentage of the class that are 13 years old can be found to be

First, we need to find the total number of students in the given class which would be:

= Number of 13 year olds + Number of 15 year olds

= 21 + 27

= 48 students

The percentage of students who are aged 13 would therefore be:

= Number of 13 year old students / Total number of students in class x 100 %

= 21 / 48 x 100 %

= 0. 4375 x 100 %

= 43. 75 %

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The area of a carpet that is 26 feet wide and 39 feet long is 1014 ft².

Given that, a carpet is 26 feet wide and 39 feet long, we need to find its area,

Considering the carpet as a rectangle, so, the area of a rectangle =

= length x width

Therefore, the area of the carpet = 26 x 39 = 1014 ft²

Hence, the area of a carpet that is 26 feet wide and 39 feet long is 1014 ft².

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The area of this figure is 106 m².

We don't have the figure so the similar figure is attached below.

First , the area of the Triangle is;

= (1/2) x  (6 + 4) x 9

= 1/2 x 10 x 9

= 45 m²

and, Area of Square

= 5 x 5

= 25 m²

and, Area of Rectangle is;

=  6 x 6

= 36 m²

Thus, the total Area = 45 m² + 25 m² + 36 m²

                                  = 106 m²

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Answer:

Since both equations have different slopes, they will intersect at a single point only. Therefore, there is only one solution for this system of equations.

I hope this answers your question.

Answer:

see explanation

Step-by-step explanation:

1

the sum of the exterior angles of a polygon = 360°

sum the exterior angles and equate to 360°

let the unknown exterior angle be ? , then

48° + 35° + 118° + 73° + ? = 360°

274° + ? = 360° ( subtract 274° from both sides )

? = 86°

exterior angle + interior angle = 180° , that is

86° + x = 180° ( subtract 86° from both sides )

x = 94°

2

the sum of the exterior angles of any polygon = 360°

The dimensions of a rectangle are l=15 or 2 and b=15 or 2.

Given that, a rectangle has an area of 30 sq meters and a perimeter of 34 meters.

We know that, area of a rectangle is Length×Breadth and the perimeter is 2(Length+Breadth)

Here, l×b=30 -----(i)

2(l+b)=34

l+b=17 -----(ii)

From equation (ii), b=17-l substitute in equation (i), we get

l(17-l)=30

17l-l²=30

l²-17l+30=0

l²-15l-2l+30=0

l(l-15)-2(l-15)=0

(l-15)(l-2)=0

l=15 or l=2

So, breadth is b=15 or b=2

Therefore, the dimensions of a rectangle are l=15 or 2 and b=15 or 2.

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Applying the cosine ratio, the size of angle XYZ can be calculated, to 1 decimal place, as: 66.4°.

The image attached below shows the diagram of a right triangle with an hypotenuse of 15 cm and a leg that is adjacent to angle XYZ that measures 6 cm. To find the size of angle XYZ, we have to apply the cosine ratio which is expressed as:

cos ∅ = length of adjacent side / length of hypotenuse

Plug in the values:

cos(m<XYZ) = 6/15

m<XYZ = cos^(-1)(6/15)

m<XYZ ≈ 66.4° (to 1 decimal place).

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Answer:

Step-by-step explanation:

Answer: X=6

Answer:

Angle B

Step-by-step explanation:

Right angles are 90 degrees. None of the other angles are 90 degrees, meaning b is the only answer. In addition, right angles are often labeled with that symbol ( a box shape), indicating that there's a right angle at that angle

Answer:

B

Step-by-step explanation:

The area of the circle with radius 'r' is πr² units² because the formula for the area of a circle = πr²

The circle is defined as a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point which is the centre.

The angle at the center of a circle sums up to 360°.

To calculate the area of a circle, the formula that should be used is given as follows;

Area of a circle = πr²

radius of the circle = r units

area = π×r ×r

= πr² units ²

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Answer:

To find the equation of a line that is perpendicular to y = (2/7)x - 8, we first need to determine the slope of the original line.

The slope of y = (2/7)x - 8 is 2/7, because the equation is in slope-intercept form (y = mx + b), where m is the slope.

Since we want the new line to be perpendicular to this line, we know that its slope will be the negative reciprocal of 2/7.

To find the negative reciprocal, we flip the fraction and change the sign:

-2/7

Now we have the slope of the new line.

Next, we use the point-slope form of the equation of a line to write the equation, using the point (-4, 2) and the slope -2/7:

y - y1 = m(x - x1)

where x1 = -4, y1 = 2, and m = -2/7.

Plugging in the values, we get:

y - 2 = (-2/7)(x - (-4))

Simplifying:

y - 2 = (-2/7)(x + 4)

Multiplying both sides by 7 to eliminate the fraction:

7y - 14 = -2(x + 4)

Distributing the -2:

7y - 14 = -2x - 8

Adding 2x and 14 to both sides:

2x + 7y = 6

Therefore, the equation of the line that passes through (-4, 2) and is perpendicular to y = (2/7)x - 8 is 2x + 7y = 6.

Answer:  y=-7/2x-12

Step by step:

The line  y = 2/7x-8 is in slope-intercept form   y=mx+ b

m=slope=2/7

In order to find a line that is perpendicular, you need to "flip it" then take the opposite  sign so for our perpendicular line the slope is:

m [tex]-\frac{7}{2}[/tex] and passes through (-4,2)  Now you need to use slope-point form

(y - y1)=m(x - x1)

(y - 2) = -7/2 (x + 4)   now simplify to look like y=mx + b

[tex]y-2=-\frac{7}{2}x-14 )\\\\y=-\frac{7}{2}x -12[/tex]