Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.1/3 of the Sunday's are mint ice-cream and 1/2 of the remaining sundaes are chocolate. The rest are chocolate.The rest are vanilla.How many sundaes will be vanilla ?

Answer:

[tex]6x+2y=-2\\3x-2y=-5\\-------\\9x=-7[/tex]

Without additional details about the triangle's angles or side lengths, it cannot be determined whether △KLM is a right triangle.

Based on the information given in your question, it is impossible to definitively state whether Seraphina is correct in her assertion that △KLM is a right triangle. Checking if a triangle is a right triangle typically involves measuring its angles or applying the Pythagorean theorem to its sides. However, there is insufficient information in your question to do either. For instance, you mentioned a '16 cm' measurement but did not specify to which side it corresponds. Similarly, no angles are provided. Thus, without additional information, the claim that △KLM is a right triangle cannot be confirmed or refuted.

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Answer:

Its D i did the question

Step-by-step explanation:

Answer:

m= -7

Step-by-step explanation:

using the slope formula, plug in the variables and solve

m=rise/run

m=y2-y1 / x2-x1

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

Answer:

[tex]slope=-7[/tex]

Step-by-step explanation:

Use the slope formula for when you have two points:

[tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

It is y over x because slope is rise over run : the change in the y-axis over the change in the x-axis. Plug in values:

(-4,6) (-3,-1)

[tex]\frac{-1-6}{-3-(-4)}[/tex]

Simplify

[tex]\frac{-1-6}{-3+4}=\frac{-7}{1}[/tex]

Simplify

[tex]\frac{-7}{1}=-7[/tex]

Done.

Answer:

(4x + 5)(4x - 3)

Step-by-step explanation:

Given

16x² + 8x - 15

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 16 × - 15 = - 240 and sum = + 8

The factors are + 20 and - 12

Use these factors to split the x- term

16x² + 20x - 12x - 15 ( factor the first/second and third/fourth terms )

= 4x(4x + 5) - 3(4x + 5) ← factor out (4x + 5) from each term

= (4x + 5)(4x - 3) ← in factored form

Answer:

Quadrilateral

Explanation:

there are only for points,

triangle= three points

hexagon= 6 points

pentagon= 5 points

The   A(1, 2), B(4, 5), C(4, -3), and D(1, -1) forms a quadrilateral.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

The points A (1, 2), B (4, 5), C (4, -3), and D (1, -1) form a quadrilateral

as all four points are noncolinear.

These four points represent four vertices of a quadrilateral.

learn more about quadrilaterals here :

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Answer:

36 Square Yards

Step-by-step explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

=36 Square Yards

Answer:

36 square yards.

Step-by-step explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

2 inches ---- 3 yards then 1 inch is 3/2 yards.

Let's say that the office is 8 inches x 2 inches = 16 squared inches

Then, if we convert it to yards,

8 inches would be: [tex]8(\frac{3}{2})=12[/tex] yards

and 2 inches would be: [tex]2(\frac{3}{2})=3[/tex] yards

Then, the area of the office would be 12 x 3 = 36 squared yards.

Answer: $193.98

Step-by-step explanation:

$168 + $10 + $5 = $183

$183 x 6% = $10.98

$183 + $10.98 = $193.98

To find the sales tax and total price for purchasing these items, calculate the sales tax by multiplying the total cost of the items by the sales tax rate, and then add the sales tax to the total cost of the items.

To find the sales tax and total price for purchasing these items, we need to calculate the amount of sales tax and then add it to the total cost of the items.

Therefore, the sales tax is $11 and the total price for purchasing these items is $194.

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Answer:

CI=[ 7.1302,7.2698]

we are 95% confident that the true mean sleeping time lies between the interval[ 7.1302,7.2698]

Step-by-step explanation:

-Given that the sample size, n=1546  the mean is 7.2 hrs and the standard deviation, [tex]\sigma=1.4[/tex]

-The 95% confidence interval can be calculated using the formula:

[tex]CI=\mu\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=\mu\pm z_{0.025}\times \frac{\sigma}{\sqrt{n}}\\\\=7.2\pm1.96\times \frac{1.4}{\sqrt{1546}}\\\\=7.2\pm 0.0698\\\\CI=[7.1302, \ 7.2698][/tex]

The confidence intervals is therefore 7.1302,7.2698]

Hence, we are 95% confident that the true mean sleeping time lies between the interval[ 7.1302,7.2698]

Answer:

60 km/hour

Step-by-step explanation:

To find the speed, divide the number of kilometers by the number of hours

kilometers/hours

120 km/ 2 hours

120/2=60

60 km/hour

The speed of the bus is 60 kilometers per hour

Answer:

60km/hr

Step-by-step explanation:

120 divided by 2 equals 60

Answer:

82.16 m²

Step-by-step explanation:

15.8 m x 5.2 m

Answer:

its D 100%

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

20 gallons per 180 miles

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

Before we start to deal with the ratio, we need all lengths in the same units.

The width is 18 inches.

The height is 2 feet.

Let's convert the height to inches. Then we will have both dimensions in the same units, inches.

2 ft * (12 in.)/ft = 24 in.

Now we have:

width = 18 in.

height = 24 in.

ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4

Final answer:

The ratio of the width to the height of the bonsai tree is 3:4 after converting both measurements to inches and simplifying. For the scale of a flower garden with a 1:12 scale and a plan width of 6 inches, the actual width of the garden is 6 feet.

Explanation:

The student asked about the ratio of the width to the height of a bonsai tree. First, it's important to have both measurements in the same units. Since the height is given in feet and the width in inches, we need to convert the height from feet to inches. There are 12 inches in a foot, so the height is 2 feet x 12 inches/foot = 24 inches. The resulting ratio of the width to the height is therefore 18 inches (width) to 24 inches (height). To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 6 in this case. This gives us a simplified ratio of 3 to 4.

When calculating a scale for a flower garden, based on the available information where the plan shows 6 inches wide and the scale is 1:12, setting up the proportion would look like this: 1 inch on the plan equals to 12 inches in the actual garden. Therefore, to find the actual width of the flower garden, we multiply 6 inches (on the plan) by 12, resulting in an actual width of 72 inches or 6 feet.

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V = [tex]\pi r^2h[/tex]

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V = [tex]\pi * 10^2*20 = 6283.19 ft^3[/tex]

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

[tex]\frac{70}{100} * 6283.19 = 4398.23 ft^3[/tex]

1 cubic foot ([tex]ft^3[/tex]) is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

Answer:

32886.476 gal

Step-by-step explanation:

Given:

Diameter of tank 'd'= 20 ft

∴radius 'r'= d/2=> 20/2=> 10ft

Height 'h' = 20 ft

Volume of cylinder can be determined by

V= π r² h

Substituting the values in above equation

V= π (10)² (20) =>π(100)(20)

V=2000π ft³

When the tank is 70% full.

70% of 2000π =>0.7 x 2000π

1400π ft³

As we know that, 1ft³ = 7.481 gal

1400π ft³= 1400π x 7.481 gal

1400π ft³= 32886.476 gal

Therefore, if the tank is 70% full then 32886.476 gallons of water are in the tank

Answer:

y = 6

Step-by-step explanation:

if the triangles are congruent then the corresponding sides are equal.

so

4x + 1 = 13

4x = 13 -1

4x = 12

Therefore x = 3

Now

8x - 2y = 2x + y

y + 2y = 8x - 2x

3y = 6x

3y = 6 * 3

3y =18

Therefore y = 6

Answer:

y = 6

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

4x + 1 = 13  ( hypotenuse are congruent )

Subtract 1 from both sides

4x = 12 ( divide both sides by 4 )

x = 3

Thus

8x - 2y = 2x + y ( substitute x = 3 )

8(3) - 2y = 2(3) + y, that is

24 - 2y = 6 + y ( subtract y from both sides )

24 - 3y = 6 ( subtract 24 from both sides )

- 3y = - 18 ( divide both sides by - 3 )

y = 6

Answer:

Car A and Car B are moving in opposite directions.

Car A is moving faster than Car B.

Car A and Car B pass each other at the crossover point on the graph.

Step-by-step explanation:

Hope that helps!

Answer:

45.9ft/s

Step-by-step explanation:

Simply plug your given value into the function

[tex]f(26)=9\sqrt{26} = 45.9 (1.d.p.)[/tex]

Answer:

  $26.0 million

Step-by-step explanation:

Use t=3 and do the arithmetic.

  S = 42e^(-0.16·3) = 42e^-0.48 ≈ 26.0

Three months after the end of the campaign, monthly sales are predicted to be $26.0 million.

Answer:

$26.0 million

Step-by-step explanation:

Answer:

-11/72

Step-by-step explanation:

5/12+-5/18-7/24​

We need to get a common denominator of 72

5/12 *6/6 =30/72

5/18 * 4/4 = 20/72

7/24 *3/3 = 21/72

30/72 -20/72 - 21/72

10/72 -21/72

-11/72

Answer:

The balance after 7 years would be $2,548.79

Step-by-step explanation:

We are given the following in the question:

P = $1800

r = 5% = 0.05

t = 7 years

The compound interest is given by:

[tex]A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}[/tex]

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

When compounded quarterly, n = 4

Putting values, we get,

[tex]A = 1800\bigg(1+\dfrac{0.05}{4}\bigg)^{28}\\\\A = \$2,548.79[/tex]

Thus, the balance after 7 years would be $2,548.79

Answer:

Yes, the Pie Graph is the right choice.

Step-by-step explanation:

A Pie Graph, or Sector Graph is one of the good options to display, usually relative frequencies, proportionally.

In a Pie Graph the focus is to show the importance of each observation, or category in comparison with the whole.

You need to be careful with the angles, since 180º is equal to 50%, 90º to 25% and 360º is equal to 100% so each "slice" each portion must directly proportional to the angles of one circle.

Since the goal is to show the importance of each work to the whole team, definitely a Pie Graph is one the appropriate one to pick.

Complete Question:

Justify the rationale behind Ms Calcutta's decision to use the circumcenter

Answer:

Check below for the answer and explanations.

Step-by-step explanation:

Ms Calcutta wants every occupant of the three office buildings to have equal easy access to the recycling station. The circumcenter of the three three office buildings, where the recycling station is located, has equal distance from the three offices, this means that all of Ms. Calcutta's workers in the three buildings can have to the recycling station equally without causing unnecessary inconvenience for occupants of any of the buildings.

Answer:

The answer to your question is the letter a

Step-by-step explanation:

 |    1    4    -1   |      |  2    -1   |

 |    3   2    2   |      |  0     3  |         Product  = 2 x 3   and 3 x 2  = 2 x 2

                              | 5     2  |          It is possible to do this product,

                                                      the result will be a 2 x 2 matrix

Process

1.- Multiply first row by first column and second row by second column.

2.- Multiply the second row by the first column and second row by the second column.

  = (1 x 2) + (4 x 0) + (-1 x 5) = 2 + 0 - 5 = -3

  = (1 x -1) + (4 x 3) + (-1 x 2) = -1 + 12 - 2 = 9

  = (3 x 2) + (2 x 0) + (2 x 5) = 6 + 0 + 10 = 16

  = (3 x -1) + (2 x 3) + (2 x 2) = -3 + 6 + 4 = 7

Result

             |  3   9  |

             | 16   7  |    

Answer:

You would have -31 points left.  :)

196 - 227 = -31

Hope this helped!!

Answer:

-31

Step-by-step explanation:

196 - 227 = -31

Answer:

x/4 + 5 = 7

      -5    -5

x/4 = 2

*4     *4

x=8

Step-by-step explanation:

Answer:

its 8

Step-by-step explanation:

i know so big brains

The sample standard deviation of the given data set is approximately 20.72.

To find the sample standard deviation, we can use the following steps:

Answer:

7. x = -2 +/- [tex]4i\sqrt{5}[/tex]

8. x = 2 or x = 6

9. x = -2 +/- [tex]\frac{\sqrt{26} }{2} i[/tex]

10. t = -3 +/- [tex]\sqrt{35}[/tex]

Step-by-step explanation:

7. Subtract 320 from both sides: 4(x + 2)^2 = -320

Divide by 4: (x + 2)^2 = -80

Square root both sides: x + 2 = +/- [tex]\sqrt{-80}[/tex]. We need to add the imaginary i to this: +/- [tex]\sqrt{-80}[/tex] = +/- [tex]i\sqrt{80}[/tex] = +/- [tex]4i\sqrt{5}[/tex]

Subtract 2 from both sides: x = -2 +/- [tex]4i\sqrt{5}[/tex]

8. Add 18 to both sides: 7(x - 4)^2 = 28

Divide by 7: (x - 4)^2 = 4

Square root both sides: x - 4 = +/- 2

Add 4 to both sides: x = 4 +/- 2  ⇒  x = 2 or x = 6

9. Add 5 to both sides: -2(x + 2)^2 = 13

Divide by -2: (x + 2)^2 = -13/2

Square root both sides: x + 2 = +/- [tex]\sqrt{-13/2}[/tex]. We again need i: +/- [tex]\sqrt{-13/2}[/tex] = +/- [tex]i\sqrt{13/2} =[/tex] +/- [tex]\frac{\sqrt{26} }{2} i[/tex]

Subtract 2 from both sides: x = -2 +/- [tex]\frac{\sqrt{26} }{2} i[/tex]

10. Multiply by 5 on both sides: (t + 3)^2 = 35

Square root both sides: t + 3 = +/- [tex]\sqrt{35}[/tex]

Subtract 3: t = -3 +/- [tex]\sqrt{35}[/tex]

Hope this helps!

Answer:

7. -2 + 4sqrt(5) i, -2 - 4sqrt(5) i

8. x = 2, 6

9. x = -2 + sqrt(13/2) i, -2 - sqrt(13/2) i

10. t = -3 + sqrt(35), -3 - sqrt(35)

Step-by-step explanation:

7. 4(x + 2)² + 320 = 0

(x + 2)² = -80

x + 2 = +/- i × sqrt(80)

x + 2 = +/- i × 4sqrt(5)

x = -2 +/- i × 4sqrt(5)

8. 7(x - 4)² - 18 = 10

(x - 4)² = 4

x - 4 = +/- 2

x = 2, 6

9. -2(x + 2)² - 5 = 8

(x + 2)² = -13/2

(x + 2) = +/- i × sqrt(13/2)

x = -2 +/- i × sqrt(13/2)

10. 1/5(t + 3)² = 7

(t + 3)² = 35

t + 3 = +/- sqrt(35)

t = -3 +/- sqrt(35)