a triangle has side lengths for 8 in and 7 in select all the possible lengths for the third side 6 inches 15 inches 7 inches 20 inches 9 inches

Explanation:

Total tickets = 500

Tickets number bought by David = 5, 6, 7 and 8

Number of tickets bought by David = 4

Remaining ticket = 500 - Number of tickets bought by David

Remaining ticket = 500 - 4

Remaining ticket = 496

Odds in favour of an event = success for the event/ failures for the event

success for winning the raffle = Number of tickets bought by David = 4

failures for winning the raffle = Remaining ticket = 496

To get pay per gallon, we divide the total payment by the total amount of gallons.

So,

Total Cost = 26

Total Gallons = 24

Pay Per Gallon = 26/24 = $1.08 per gallon

From the graph, the following are true

ok

Area of a rectangular prism: 2(wide x deep) + 2(wide x tall) + 2(tall x deep)

Substitution

Area = 2(12 x 5) + 2(12 x 12) + 2(5 x 12)

Simplification

Area = 2(60) + 2(144) + 2(60)

Area = 120 + 288 + 120

Result

Area = 528 in^2

N 12

Remember that

In any triangle, the sum of the interior angles must be equal to 180 degrees

so

In the triangle EBF

mso

mm

step 2

we have that

m by form a linear pair

substitute given values

52+mmm

to find if it is proportional all the data must fulfill the constant of proportionality.

in this case we can see a pattern in which the yellow flowers tend to be the double of the white flowers.

however this is not fulfilled when there are 7 white flowers, indicating that the arragements are not proportional

the constant of proportionality is 2

ANSWER

10,000

EXPLANATION

Given:

The first-three digits to be 1, 8, 0 out of seven-digit telephone numbers.

Desired outcome:

Total number of possible different telephone numbers

Determine the possibilities of the 4th, 5th, 6th and the 7th digits

The 4th digit has 10 possibilities (i.e: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The 5th also has 10 possibilities,

likewise the 6th and the 7th digits.

Now, we have:

10 x 10 x 10 x 10 = 10^4 = 10,000

Hence, the number of possible different telephone numbers is 10,000.

a. 86.5-0.07

The result of the subtraction is:

As the answer should have only three significant figures then, the result is: 86.4

b. 30.61-87.3-42.109

The subtraction is:

As the answer should have only 3 significant figures, then the result is -98.8

14.16 ≈ 14 times as tall as Lin are the tallest​ crystals.

Given:

Some of the tallest crystals in a cave in Mexico are 85 feet tall.

Lin is 6 feet tall.

Number of times = tallest crystals height / lin height.

= 85 feet / 6 feet

= 14. 16 ≈ 14 times

14.16 is not represented in times so we take the nearest number which is 14.

Therefore 14 times as tall as Lin are the tallest​ crystals.

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Python is 1.01 times as  long as Vortex.

What is division ?

   In mathematics, division is the process of dividing a given sum into equal pieces. As an illustration, we could divide a group of 20 people into 4 groups of 5, 5 groups of 4, and so on. The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.

Here the given ,

length of Python = 212 feet

length of Vortex = 210 feet

Here to find the length we need to divide python length by vortex length

=> [tex]\frac{212}{210}[/tex]

=> 1.01 times.

Therefore Python is 1.01 times as long as Vortex.

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Given the system of equations:

We will find the solution of the system by the graph

To draw each line, we need to know 2 points

So, we will substitute with 2 values of x and calculate the corresponding value of y

For the first equation: y = 2x - 2

So, the line passes through the points ( 0, -2 ) and ( 2, 2)

For the second line: y = -x + 7

so, the line passes through the points ( 0, 7) and ( 2, 5)

The graph of the system will be as shown in the following figure:

As shown in the figure:

Equation 1 is the blue line

Equation 2 is the red line

The point of intersection = ( 3, 4)

So, the answer is the solution of the system = ( 3, 4 )

The transformation from triangle DEF to triangle D'E'F' is a reflection about the origin.

since,The corrdinates of the traingle DEF is,

point D is (-5,6) , E is (-1,5) , F (-4,2) and The corrdinates of the traingle D'E'F' is,

D' (5,-6) , E' (1,-5) and F' (4,-2).

No, it does not.

solution

For this case we can do the following:

For this case the opposite side is 8 and the adjacent is 6 so we got:

The number line shows numbers graded into three parts each such that each point between numbers represent 0.33 units.

This means the red line moving towards the left is a negative because it falls to the left of point 0, where the division between positive and negative numbers take place.

Hence the red line indicates -3.33

The blue line is movin towards the right which means its a positive value. Note that it begins from -3.33 and ends at -1.33. Hence the blue line is a positive value and it covers two units.

The equation that models this number line can be written out as

Answer:

smaller x-value:   (-4, 18)

larger x-value: (3, 11)

Step-by-step explanation:

Solving for x:

y = x^2 + 2

x + y = 14 ---> y = 14 - x

14 - x = x^2 + 2

0 = x^2 + x - 12

0 = (x + 4)(x - 3)

x = -4 or 3

Solving for y:

If x = -4

y = 14 + 4

y = 18

if x = 3

y = 14 - 3

y = 11

Answer:

[tex](x,y)=\left(\; \boxed{-4,18} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{3,11} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}\phantom{bbbb}y=x^2+2\\x+y=14\end{cases}[/tex]

To solve by the method of substitution, rearrange the second equation to make y the subject:

[tex]\implies y=14-x[/tex]

Substitute the found expression for y into the first equation and rearrange so that the equation equals zero:

[tex]\begin{aligned}y=14-x \implies 14-x&=x^2+2\\x^2+2&=14-x\\x^2+2+x&=14\\x^2+x-12&=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}x^2+x-12&=0\\x^2+4x-3x-12&=0\\x(x+4)-3(x+4)&=0\\(x-3)(x+4)&=0\end{aligned}[/tex]

Apply the zero-product property and solve for x:

[tex]\implies x-3=0 \implies x=3[/tex]

[tex]\implies x+4=0 \implies x=-4[/tex]

Substitute the found values of x into the second equation and solve for y:

[tex]\begin{aligned}x=3 \implies 3+y&=14\\y&=14-3\\y&=11\end{aligned}[/tex]

[tex]\begin{aligned}x=-4 \implies -4+y&=14\\y&=14+4\\y&=18\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y)=\left(\; \boxed{-4,18} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{3,11} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

From the table , we can see that:

Cake ------------ -16

cookies - 20

Ice cream - 26

Cobbler - 10

Fruit - 18

Total - 90

Out of 1900 students, the manager is expected to choose fruits as their favourite school desert?

Ice cream - 26/90 x 1900 = 548 .89 = 600 ------- option D

As per given by the question,

There are given that the sales tax is $5.57375.

Now,

For find the value nearest hundredth,

Nearest hundredth is the second digit after the decimal point.

That means,

If there is given that the value , x.yzw

Then, the nearest hundredth number is x.yz.

So,

From the given value.

The nearest hundredth value is, secon digit after the decima.

Here, second digit after the decimal is 57.

Then,

The nearest value of hundredth is 5.57.

Hence, the value is $5.57

The given equations are

To find the answer we need to cancel out x or y.

so we have to find the LCM of the coefficients of the corresponding variable.

consider the coefficients of x is -1 in the first equation and 6 in the second equation .

Lcm of -1 and 6 is 6.

Multiplying the first equation by 6.

consider the coefficients of y is 4 in the first equation and -3 in the second equation .

Lcm of 4 and 3 is 12

Multiplying the first equation by 3 and the second equation by 4.

Either one of these is the first step to eliminate variables.

Amswer os

Given the experimental results of spinning the spinner:

Yellow: 212

Red: 144

Blue: 144

The sum of times = 500

a) from Martina's results, compute the experimental probability of landing on red.

So, the answer will be probability = 144/500 = 0.288

b) assuming that the spinner is fair, compute the theoretical probability of landing on red.

As shown: the spinner has 10 equally sized slices.

The number of red slices = 3

So, the probability of red = 3/10 = 0.3

c) assuming that the spinner is fair, choose the statement below that is true.

The true statement will be:

1. the larger the number of spins, the greater the likelihood that the experimental probability will be close to the theoretical probability.

Explanation:

Surface Area of the two triangles in the net = 2*(0.5*b*h)

= 2*(0.5*10*8.7)

=87

Surface Area of three rectangles in the net = 3(l*b)

= 3*12*10

=360

Answer: Total Surface area = 360 + 87 = 447

Answer:

0.13597 = 0.136

Step-by-step explanation:

using normal cd in calculator

Lower- 4330 (since we want weight above this)

Upper- 100000 (any large number will still be valid)

std deviation- [tex]\sqrt{408,321}[/tex]

mean- 3628

p- 0.13597

Hope this helps!

AE = 10 and EC = 10

1) Let's find out the measure of each section of those diagonals. Since in a parallelogram their diagonals are bisected. So we can write:

2y = y+5 Subtract y from both sides

2y -y = 5

y= 5

x+1 = 3x -13

x-3x = -13 -1

-2x =-14

2x = 14

x = 7

2) As we now know the measure of each half of those diagonals we can write:

AE = 2y

AE = 2(5)

AE = 10

EC = y+5,

EC =10

DE = x +1

DE = 8

EB = 3(7) -13 = 8

3) Hence, the correct measures are AE = 10 and EC = 10

The given problem can be exemplified in the following diagram:

In this case the value of angle "x" is 35 degrees, therefore, the measure of arc BC is double this angle, that is:

Answer:

0.8704

Explanation:

The probability of successfully shooting a basketball is 2/5, so the probability t3/o fail will be equal to:

Then, we will calculate the probability of failing the 4 shots. So, we need to multiply 3/5 by itself 4 times.

Finally, the probability of her shooting in at least 1 if the complement of the probability to fail all times, so, the answer is:

Therefore, the answer is 0.8704

Angle relationship that best represents the given angle

Considering the angles in the attached diagram above

<6 and <13 has no relationship because they are not parallel

Hence NO relationship between <6 and <13

ANSWER:

EXPLANATION:

Given:

Since U and V are Matrices with equal dimensions(3 x 3 matrix), and

X + U = V.

To solve for X, we have:

X = V - U

$23,775.00 will be the total amount in the account after 18 years, Formula of simple interest = A = P(1 + rt).

What is simple interest?

The straightforward interest formula makes figuring out how much interest will be applied to a loan quick and simple. Multiply the principle, this same number of days between payments, as well as the daily interest rate to determine simple interest.

Although this method of calculation is used in some mortgages, this type of interest is typically associated with auto loans as well as short-term loans.

A represents the total amount of accrued interest and principal.
P is the principal amount.
The interest rate is I.
The annual percentage real interest rate, abbreviated as r, is 1/10.
R is the interest rate in annual percentage terms; R = r * 100 t is the time period in months or years.

In light of the query

P=$1500

r=3.25%

=0.0325

t=18 years

simple interest = 1500(1+ 0.0325 x 18)

=$(1500+877.5)

=$ 23,775

Thus the simple interest is  $23,775

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Solution

AB and A' B' are on distinct parallel lines. TRUE

Since when we apply the scale factor the new A'B' is on a different line but parallel

AD and A'D' are on the same line. FALSE

The new triangle with the scale factor produce an A'D' line different

Step-by-step explanation:

Hey! The correct answer is Chamber Music.