Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.





A) Estimate 49% of 162.
B) Use mental math to calculate 49% of 162.

[tex]sin\frac{3}{4}\pi=sin(\pi-\frac{\pi}{4})=sin\frac{\pi}{4}=\frac{\sqrt2}{2}[/tex]

It these triangles are similar, then the sides of the triangles are in proportion:

[tex]\dfrac{y}{10}=\dfrac{y+4}{15}[/tex]      cross multiply

[tex]15y=10(y+4)[/tex]    use distributive property

[tex]15y=10y+40[/tex]       subtract 10y from both sides

[tex]5y=40[/tex]           divide both sides by 5

[tex]\boxed{y=8}[/tex]

[tex]\dfrac{x}{4}=\dfrac{6}{8}[/tex]            cross multiply

[tex]8x=(4)(6)[/tex]

[tex]8x=24[/tex]           divide both sides by 8

[tex]\boxed{x=3}[/tex]

Answer:

LM=12

V =90

Step-by-step explanation:

4.  If it is a parallelogram, the two sides have to be equal.

2x-6 = x+3

Subtract x from each side

2x-x -6 = x+3-x

x-6 =3

Add 6 to each side

x-6+6 = 3+6

x=9

LM =2x-6

    = 2*9 -6

   = 18-6

   = 12

5.  

<U + < T = 180   Adjacent corners in a parallelogram are supplementary

11x+2 + 12x-6 = 180

Combine like terms

23x -4 = 180

Add 4 to each side

23x-4+4 = 180+4

23x = 184

Divide by 23

23x/23 = 184/23

x=8

<V = <T  Opposite corners in a parallelogram are equal.

<V = 12x-6

<V = 12(8) -6

<V = 96-6

<v =90

The question involves solving algebra and geometry problems related to parallelograms, focusing on transformations, coordinates, and area calculations to find the equation for y.

The student is asked to solve a series of algebra and geometry problems related to the properties of a parallelogram. These include finding coordinates, proving algebraic expressions, computing distances, and determining areas. The goal is to find the equation for y given a series of transformations and conditions on a square that becomes a parallelogram. Important concepts include the area of a parallelogram, vector addition using the parallelogram rule, and the determinant relating to a change of basis in vectors.

For example, part (e) involves finding the area of the parallelogram by computing twice the area of triangle PQO, using PQ as the base of the triangle. Solving for y in part (f) by setting this area equal to 1 involves understanding the effects of transformation on geometrical shapes and employing algebra to arrive at the desired equation.

Answer:

3

Step-by-step explanation:

The slope is 3 because the equation is y=mx+b. If you add in the terms m=3 and b=0. It is y=3x. M is the slope, so the slope is 3!

Answer:

-46 * x - 19 = -86

Step-by-step explanation:

this a word problem!

lets break it down

-46 times a number

this will be -46 * x

minus 19 is equal to 86 less the number

-46 * x - 19 = -86

To solve the equation "-46 times a number minus 19 is equal to 86 less the number", we can simplify the equation by combining like terms and isolating x. The solution is x = -105/45 or approximately -2.33.

To solve the equation -46 times a number minus 19 is equal to 86 less the number, we can first simplify the equation. Let's call the number x. So, -46x - 19 = 86 - x. We can solve for x by combining like terms and isolating x on one side of the equation. Adding x to both sides gives -45x - 19 = 86. Then, adding 19 to both sides gives -45x = 105. Finally, dividing both sides by -45 gives x = -105/45, which simplifies to x = -7/3 or approximately -2.33.

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Answer: Choice B

"ice cream at -3 degrees C is cooler than ice cream at 1 degree C"

-3 is smaller than 1

-3 < 1

Keep the order the same even though 1 > -3 is also possible, but fortunately this isn't listed.

Answer:

210 cm

Step-by-step explanation:

We need to convert 7 ft to cm

We know that 1 ft = 12 inches

7 ft  * 12 inches/1 ft = 84 inches

We know that 1 inch = 2.5 cm

( 1 inch is really 2.54 cm  but you question says 2.5 cm)

84 inches * 2.5 cm/1 inch = 210 cm

Answer: 27.12

Step-by-step explanation:

32.01

-5.89

27.12

The graph of the linear equation y = 6x + 4 is drawn below.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equation is given below:

y = 6x + 4

Convert the equation into intercept form, then we have

y = 6x + 4

6x - y = - 4

x / (-0.667) + y / 4 = 1

The graph of the equation is given below.

More about the linear equation link is given below.

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Answer:

Option C. 4 pairs; ∠2 and ∠4

Step-by-step explanation:

we know that

In the figure

[tex]m<6=m<1[/tex] -----> by corresponding angles

[tex]m<3=m<7[/tex] -----> by corresponding angles

[tex]m<5=m<8[/tex] -----> by corresponding angles

[tex]m<2=m<4[/tex] -----> by corresponding angles

therefore

Are available [tex]4[/tex] pairs of corresponding angles

The answer is the option C

Hello!

3         8             24            6

-    x     -    =        _     =       -     OR 6

4          1              4              1

Answer: 6 OR 6/1

Hope this helps!  ~Pooch ♥

Answer:

6 miles.

Step-by-step explanation:

I believe your trying to say 3/4

3/4 x 8

3/4 x 8/1

24/4 = 6

Answer: x = 12.5

Step-by-step explanation:

P = (2, 5)

Q = (x, -3)

R = (7, 9)

[tex]d_{PQ}=d_{QR}[/tex]

[tex]d_{PQ}=\sqrt{(2-x)^2+(5+3)^2}, \quad d_{QR} = \sqrt{(x-7)^2+(-3-9)^2}[/tex]

[tex]\sqrt{(2-x)^2+(5+3)^2} = \sqrt{(x-7)^2+(-3-9)^2}[/tex]

[tex](2-x)^2+(5+3)^2 = (x-7)^2+(-3-9)^2[/tex]

[tex]4-4x+x^2+64 = x^2-14x+49+144[/tex]

[tex]4x+68 = -14x+193[/tex]

[tex]10x+68 = 193[/tex]

[tex]10x= 125[/tex]

x = 12.5

Answer:

25%

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage of 3 in 12 is 25%.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

3 and 12.

The percentage of 3 in 12.

= 3/12 x 100

= 1/4 x 100

= 25%

Thus,

The percentage of 3 in 12 is 25%.

Learn more about percentages here:

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Answer:

3x-1

Step-by-step explanation:

if you triple x, you multiply x 3 times

Answer:

The month-to-month contract will cost an extra $1356.

Step-by-step explanation:

"An annual contract is $502.00/month with a 2-month penalty if you break the lease."

If you stay the whole year, and you pay $502 per month, you pay 12 * $502 = $6024 for the entire year.

"The month-to-month contract is $615.00/month."

If you stay the entire year, you pay 12 * $615 = $7380.

The difference is $7380 - $6024 = $1356

Answer:

length: 9

width: 8

Step-by-step explanation:

you would need to factorise the equation in order to work out the length and width of the rectangle

so to factorise x^2 -17x +72, you will need to numbers that multiply to make 72 and add to make -17

the numbers are -9 and -8

so the factorised equation is (x-9)(x-8)

if you equate it to 0 you get 9 and 8 as values for x

since the length is longer than the width

the length is 9 and the width is 8

Answer:

Mr. Wright taught 1,050 students in 25 years.

Step-by-step explanation:

Given,

The number of students Mr. Wright taught = 18,

Also, every year the number of student is increased by 2,

So, in second year, the number of students = 18 + 2 = 20,

In third year = 20 + 2 = 22,

In fourth year = 22 + 2 = 24,

.............., so on,

Hence, we get an A.P. that shows the given situation,

18, 20, 22, 24, ............. till 25 years.....

First term, a = 18,

Common difference, d = 2,

And, number of terms, n = 25,

Hence, the total number of students that have been taught by him are,

[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]

[tex]S_{25}=\frac{25}{2}[36+(25-1)2][/tex]

[tex]=\frac{25}{2}[36+24\times 2][/tex]

[tex]=\frac{25}{2}[36+48][/tex]

[tex]=\frac{25}{2}(84)[/tex]

[tex]=\frac{2100}{2}[/tex]

[tex]=1050[/tex]

Third option is correct.

Answer:

80km/h

Step-by-step explanation:

we know that the train is 160 km in 2 hours we need to find how much is in 1 hour you divide 160÷2= 80 so it means that there is 80 km in 1 hour which is "80 km/h"

Answer:

A D E are all true. The others are false and should not be checked.

Step-by-step explanation:

A crosses the x axis at (- 2.5,0)

B is false. The line does not go through (0,0) which is the origin.

C  is false. The green line is not perpendicular to anything.

D is true. It crosses the y axis at (0,5)

E is true. It is on the xy plane.

F is false. It is not parallel to either axis.

Answer:

0.783

Step-by-step explanation:

To find first r and then r square for the data

correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y

Cov (x,y) = E(xy) -E(x)E(y)

Hence calculations would be as follows:

x y xy

1 2 2

2 10 20

5 5 25

7 18 126

10 25 250

Mean 5 12 84.6

Cov E(xy)-E(x)E(y)  24.6

r 0.884640297

r^2 0.782588454

so answre is 0.783 after rounding off.

Answer: cis (ln x) ; x > 0

Step-by-step explanation:

  [tex]x^i[/tex]

[tex]= e^{ln(x^i)}[/tex]

[tex]=e^{i \ln(x)}[/tex]

= cos (ln x) + i sin (ln x)

AKA: cis (ln x)

NOTE: I found this following formula which you may find useful:

[tex]A^i = x + iy[/tex]

The periodic interest rate of Elise's payday loan is calculated by dividing the $80 fee by the $500 borrowed, resulting in a rate of 16% for the 2-week period.

To calculate the periodic interest rate of Elise's payday loan, we need to consider the fee charged as the interest for the period of the loan, since the loan is due in 2 weeks, which is a half-month period. Elise is being charged an $80 fee on a $500 loan, and this fee represents the interest for the loan's term.

Therefore, we can calculate the periodic interest rate by dividing the interest by the principal and the number of periods.

Here's the calculation:

Interest (Fee) = $80

Principal (Amount borrowed) = $500

Periodic interest rate = Interest / Principal

Periodic interest rate = $80 / $500 = 0.16 or 16%

Since the period is 2 weeks, we could express this interest rate on a monthly basis if needed by scaling the bi-weekly rate to a monthly rate. However, the loan terms only mention a 2-week period, so the periodic interest rate for the loan's duration is 16%.

Answer: 2268 miles

Step-by-step explanation: 1 hour = 567 miles

4 hours= n miles

multiply 567 miles by four hours

= 2268 miles

Answer:

2304

Step-by-step explanation:

567 x 4

Answer:

t=5

Step-by-step explanation:

Add 3t to the other side to cancel it out

2t+3t+15=40

Subtract 15 to the other side to cancel it out

2t+3t=40-15

Simplify

5t=25

t=5

Answer:

(-9/2,2)

Step-by-step explanation:

Midpoint equals (x1+x2)/2, (y1+y2)/2

Answer:

(-9/2,2)

Step-by-step explanation:

Answer:

Darin drove '2m - 20' miles.

Step-by-step explanation:

We are given that Sam drove 'm' no. of miles.

As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.

Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.

Hence, in terms of m, Darin drove '2m - 20' miles.

The answer is A. An equation is when two quantities are equal to each other, thus having an equal sign.

Answer:

Look below. The answers are bolded!

Step-by-step explanation:

1.   10x + 23

5+6(2x+3)-2x

Distribute first!

5 + 12x + 18 -2x.

Now you can combine like terms.

23 + 10x

2.   18x + 6

3(4x+8) + 3(2x-6)

Distribute first!

12x + 24 + 6x - 18

Now you can combine like terms.

18x + 6

3. -2x + 8

(32-8x)

____ ___

     4

Divide 32 and -8x by 4.

32/4 = 8

-8x/4 = -2x

-2x + 8

4. 4x + 3

24x+18

______

    6

Divide 24x and 18 by 6

24x/6 = 4x

18/6 = 3

4x + 3

Answer:

Step-by-step explanation: