What is the product of −8 1/3 and 3 2/5?
Possible Responses

−28 1/3
Negative 28 and 1 third

−24 2/15
Negative 24 and 2 over 15

24 2/15
24 and 2 over 15

28 1/3
28 and 1 third

Show work please!
How did you do it?
Step-By-Step

Let x be the number of pounds of candy that sells for $1.25 per lb that we need to mix, and let y be the number of pounds of candy that sells for $0.75 per lb. We can set up a system of equations to represent the problem:

x + y = 20 (we need a total of 20 pounds of candy in the mixture)

1.25x + 0.75y = 1.20(20) (the value of the mixture should be $1.20 per lb)

Simplifying the second equation, we get:

1.25x + 0.75y = 24

Multiplying the first equation by 0.75 and subtracting it from the second equation, we can eliminate y:

1.25x + 0.75y = 24

0.75x + 0.75y = 15

0.5x = 9

Dividing both sides by 0.5, we get:

x = 18

Therefore, we need 18 pounds of candy that sells for $1.25 per lb and 2 pounds of candy that sells for $0.75 per lb to make a 20-pound mixture that sells for $1.20 per lb.

Answer:

its 38.13

Step-by-step explanation:

firstly let's find area of the half circle

we know that diameter of the circle is 6 so which gives us the radius which is 3 inch

3.14 otherwise known as pi

lets multiply pi by radius^2

3.14×3^2= 28.26 divide it by 2 because circle is cut in half 28.26/2= 14.13

now let's find area of the rectangle

6×4=24

now let's find the area of this figure

14.13+24 = 38.13

Answer:

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Therefore, we can set up an equation using the measures of the angles in triangle ABC:

ZABD + CBD + ABC = 180

Substituting in the given measures, we get:

(0.12x + 64) + (0.13x + 28) + ABC = 180

Simplifying and solving for x, we get:

0.25x + 92 + ABC = 180

ABC = 180 - 0.25x - 92

ABC = 88 - 0.25x

We know that the measure of angle ABC is 0.11x + 12. Substituting this into the equation for ABC, we get:

0.11x + 12 = 88 - 0.25x

Solving for x, we get:

0.36x = 76

x = 211.11

Therefore, the value of x is approximately 211.11.

Answer:

x = 352

Step-by-step explanation:

From the given Linear Pair, we can observe that ∠ABD and ∠CBD form a Straight Angle which is 180°.

∠ABD = 0.12x + 64°

∠CBD = 0.13x + 28°

Now we can understand that ∠ABD + ∠CBD = ∠ABC (Linear Pair)

∠ABC = 180°

So, ∠ABD + ∠CBD = 180°

(0.12x + 64°) + (0.13x + 28°) = 180°

(0.12x + 0.13x) + (64° + 28°) = 180° (Distribution Property)

0.25x + 92° = 180°

0.25x = 180° - 92°

0.25x = 88°

x = 88/0.25

x = 352

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

We know that tan(theta) = opposite/hypotenuse = 24/43.Using inverse tangent, we can find the angle theta:theta = tan^(-1)(24/43)Using a calculator, we can find:theta ≈ 29.6 degrees (rounded to 1 decimal place)Therefore, the value of theta to 1 decimal place is approximately 29.6 degrees.

Step-by-step explanation:

The value of theta in a right angle triangle for which tan(theta) = 24/43 can be found using the inverse tangent function, also known as arctan. When evaluated, theta equals approximately 29.4 degrees.

In trigonometry, the tangent of an angle in a right angle triangle is the ratio of the side opposite to the angle to the side adjacent to the angle. Here, tan(theta) = 24/43, which means the ratio of the opposite side to the adjacent side is 24/43. To find the angle 'theta', you will need to use the inverse tangent function, commonly known as arctan or tan^-1.

In this case, theta = arctan(24/43). Use a calculator and ensure it's set to give the answer in degrees, not radians. The answer would be approximately 29.4 degrees to 1 decimal place.

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Answer:

26

using sohcahtoa principle

tanx=opp/adj

i.e 14/29

therefore find the arctan of (14/29)

which gives 25.7693 approximately 2y

Answer:

2m+2+12y

Step-by-step explanation:

-4m-2+5y+6m+4+7y

2m+2+12y

Answer:

minutes   :     # of cards made

20                             50

40                             100

60                             150

80                             200

100                            250

120                            300

140                            350

160                            400

180                            450

200                           500

220                           550

240                           600

260                           650

280                           700

300                           750

320                           800

340                           850

360                           900

380                           950

400                           1000

And please let me know if this helps.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (80)(0.10)(1) \implies I = 8\hspace{5em}\underset{ \textit{accumulated amount} }{\stackrel{ 80~~ + ~~8 }{\text{\LARGE 88}}}[/tex]

Answer: $88

Step-by-step explanation:

1. Plug in the given data into the formula.

p = 80

r = 0.1 (represents 10%)

t = 1 year

2. Solve for i based on the formula's values

i = (80)(0.1)(1) = 8

Interest earned is $8 but THIS IS NOT THE FINAL ANSWER!

3. Add i (interest) to p (starting amount)

Elena started with $80, so the interest of $8 is added for a final answer of $88 after one year.

Answer:

I'll make this as fast as possible

(5,-20)

Step-by-step explanation:

Answer:

662.91

Step-by-step explanation:

[tex]a = 8 \times 3 \times 24 + 4 \times (1 + \sqrt{2} ) \times {3}^{2} [/tex]

[tex]a = 662.91[/tex]

Answer:

A = 1792.44

Step-by-step explanation:

Area of Trapezoid formula is:

A = 1/2(b1 + b2)h

A = 1/2(92+61.2)23.4

A = 1/2(153.2)23.4

A = (76.6)*23.4

A = 1792.44

Answer:

21 Students

Step-by-step explanation:

Number of students earning the award = (15 / 100) x 140

Number of students earning the award = 0.15 x 140

Number of students earning the award = 21

Therefore, 21 of the 140 seventh-grade students earn the Presidential Physical Fitness Award.

Answer:

Factors are like numbers that are multiplied together to get that number

Using 25:

The factors of 25 are 1,5,25

1*25 = 25 and 5*5 = 25, so they are the factors of 25

Multiples are the products of the specified number and another number

Using 25:

Some of the multiples of 25 are 25, 50, 75, 100 and so on

25*1 = 25, 25*2 = 50, 25*3 = 75, 25*4 = 100, so they are the multiples of 25

Hope this helps!

Answer: B

Step-by-step explanation:

The angles of a regular hexagon are all equal.

Answer: Your answer will be B) 120°

Step-by-step explanation: All the sides of a hexagon are the same so it's the same as the other degree.

Answer: 100 cm^2

Step-by-step explanation:

Answer:

56 is the perimeter!!

Step-by-step explanation:

20q¹⁷w⁹ this is the answer hope this helps

Answer: Hello ! I need a little more information to help , sorry

Step-by-step explanation:

Answer:

(-2,-8)

(-1,-5)

(0,-2)

(1,1)

(2,4)

Step-by-step explanation:

Start with y=0 for starters, make a graph, then plug in the equation 0=3x-2. Then you just multiple 0 by 3 and subtract to then bam, x=-2 and so on

Answer:

397

Step-by-step explanation:

Answer: 128

Step-by-step explanation:

12(6)+ 14x2x2

1.Do the parentheses-(These are parentheses) first

When the number it touching another number like this, you need to multiply them together

12x6=72

72+14x2x2

2. Then do exponents, but we don't have any so next to multiplying

2x2=4

72+14x4

14x4=56

3. Now we divide, but we don't have to divide anything so now we add

72+56=128

4. There is no subtraction in the problem, so now we are done and the total is 128

Have a good day =)

to get a number you got to multiply ========2564

Answer:

1. 0.9 is the answer

2. 1.28

Step-by-step explanation:

0.99÷11=99/100÷11/10=99/100x10/11=9/10=0.9

2.expand 5.12/4 by multiplying both numerator and the denominator by 100 512/400 reduce the fraction 512/400 to lowest terms by extracting and canceling out 10 32/25 for factor 2 5/5 2=1 7/25=1.28

Answer:

0.99÷11=0.09 5.12÷4=1.28

Answer:

x = 4 and y = 6

Step-by-step explanation:

With the way the equations are set up, substation is faster.

Just substitute -1/2x + 8 for the y in the first equation.

3x + 4(-1/2x + 8) = 36

And then you can just solve the equation. You would get x = 4.

Substitute 4 for x.

y = -1/2(4) + 8

y = 6

Answer:

  (c)  6 units to the right

Step-by-step explanation:

You want to know the translation amount and direction that moves ∆XYZ to ∆X'Y'Z', where Z=(3, 4) and Z'=(9, 4).

The translation vector can be found from the difference ...

  Z' -Z = (9, 4) -(3, 4) = (6, 0)

The translation is 6 units right and 0 units up or down.

The direction and number of units is ...

  6 units to the right, choice C.

<95141404393>

The calculated expression of function g(x) in terms of x is g(x) = 3f((x-1)/2)

To express g(x) in terms of x, we need to use the relationship given between the points on the graph of y=f(x) and the corresponding points on the graph of y=g(x).

Specifically, if a point (a,b) is on the graph of y=f(x), then the point (2a+1,3b) is on the graph of y=g(x).

Using this relationship, we can write:

g(x) = 3f((x-1)/2)

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