In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the candy and the mints?

If m = price of mints and c = price of candy, then which of the following expressions is equal to 5.35?

Answer:

3 and 4

36 and 48

Step-by-step explanation:

you got the 1 wrong

should be 5 and 4

20 and 16

Answer:

5.7 unit

Step-by-step explanation:

From the question,

Applying pythagoras theorem,

a² = b²+c²....................... Equation 1

From the diagram.

a = /QX/, b = /XR/, c = /RQ/

Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.

Substitute these values into equation 1

a² = 4²+4²

a² = 16+16

a² = 32

a = [tex]\sqrt{32}[/tex]

a = 5.7 units

Hence, QX = 5.7 units

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

Answer:

24000

Step by step

20×10×80 = 16000+ 40×10×20=8000 = 24000

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

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- Zack Slocum

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42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

Answer:

0....4.... 8....12....16

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas,

Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.

so we get as,

Area of triangle = 1/2*b*h

Area of triangle ==> 1/2*309*306 ==> 47277 mi^2

Area of rectangle = l*b = 205*309 ==> 63345 mi^2

Area of NEVADA = 47277 + 63345 = 110622 mi^2

hence the area = 110622 mi^2

Answer:

the approximate area of Nevada is 110,567 mi²

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer:

Step-by-step explanation:

Answer:

32/40 = 24/x  

x=30

Answer:

30

Step-by-step explanation:

32x= 40•24

32=960

X=30

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer:

84.823005

Step-by-step explanation:

π6^2=113.09734

(360-90)/360=3/4

3/4* 113.09734=84.823005

Step-by-step explanation:

area of circle=

[tex]\pi \: r ^{2} [/tex]

22/7×6×6=113.14

=3/4of 113.14

=84.55cm²

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Answer:

I um need the question to answer.

Step-by-step explanation:

Step-by-step explanation:

We need to find x in this question.

x - 4 = -3

So, shifting -4 from one side to another, we get:-

x = -3 + 4

[+4 because the sign changes when we replace the numbers]

x = 4 - 3

x = 1 is the required answer.

Hope it helps :)

Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

To learn more about sequence visit:

brainly.com/question/12373434

#SPJ2

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

Answer:

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Step by Step Explanation:

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Answer:

y = -7x + 1

Step-by-step explanation:

Remember the formula for slope-intercept form: y = mx+ b

m is equal to the slope value

b is equal to the y-intercept value

Meaning, when you substitute the values in, you get:

y = -7x + 1

Answer:

y = -7x - 1 is the desired equation.

Step-by-step explanation:

Choose the form of the equation of a straight line that requires the least amount of work.  In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:

y = -7x - 1 is the desired equation.

Answer:

See Below.

Step-by-step explanation:

We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.

And we want to prove that ABCD is a parallelogram.

By the definition of midpoint, this means that:

[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]

To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.

By the Midpoint Theorem:

[tex]DA\parallel SQ[/tex]

Similarly:

[tex]CB\parallel SQ[/tex]

By the transitive property for parallel lines:

[tex]DA\parallel CB[/tex]

Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.

By the Midpoint Theorem:

[tex]AB\parallel PR[/tex]

Similarly:

[tex]DC\parallel PR[/tex]

So:

[tex]AB\parallel DC[/tex]

This yields:

[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]

By the definition of a parallelogram, it follows that:

[tex]ABCD\text{ is a parallelogram.}[/tex]

Answer:

this is your answer look it once