The number p and 2/3 are additive inverses.

Drag and drop 2/3 and p to their correct positions on the number line.

Drag and drop the label “Sum” to the sum of 2/3 and p.

Answer:

3

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Step 1:

-2x + 7 = 25

Step 2:

-2x = 18

Step 3:

-18 = 2x

Answer:

-9

Hope This Helps :)

Answer: -9

Step-by-step explanation: hope this helped ❤️

Answer: 47 and 4/10

Step-by-step explanation:convert 47.4 into a fraction by multiplying with 1/10

=474/10

divide 474 by 10 we get the quotient as 47 and remainder as 4

To write an improper fraction as a mixed number, divide the numerator (top part) by the denominator (bottom part). The quotient is the whole number, and the remainder is the numerator.

so we get 47 and 4/10

47.4 as a mixed number is \(47\frac{2}{5}\)

A number system is defined as a system of writing to express numbers.

To rewrite the decimal 47.4 as a mixed number, we need to separate the whole number part and the fractional part.

The whole number part of 47.4 is 47, and the fractional part is 0.4.

To express the fractional part as a mixed number, we can multiply it by 10 to move the decimal point one place to the right.

0.4 x 10 = 4

So, the fractional part of 47.4 can be expressed as 4/10 or 2/5.

Therefore, 47.4 as a mixed number is \(47\frac{2}{5}\)

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Answer:

2 apples and 4 bananas

Step-by-step explanation:

Given info:

Question given:

Determine the number of apples, x, and the number of bananas, y, that Juan bought.

Solution:

Since, we know that;

apples = x

bananas = y

Cost of each apple = $1 & Cost of each banana = $ 0.50

Total = 6

The equation that represents the following information:

x + y = 6

x + 0.5y = 4

We can multiply the top equation by -1 so it becomes -x -y = 6

-x - y = 6

x + 0.5y = 4

Now, we can use elimination to cancel out the x.

-0.5y = -2

y = 4

Because y=4, x must be 2 since x+y=6. So,

x = 2 and y = 4

Which means;

Juan bought 2 apples and 4 bananas.

~kavinsky

a Given in the problem:

a.) Brandy bought 1/3 pound of ground turkey.

b.) He also bought a 3/4 pound of ground beef.

To be able to determine how many pounds of meat did Brandy bought, we add the weight of the ground turkey and ground beef.

In adding fractions, you must first transform the fractions into similar ones. They will be similar if the fractions have the same denominator, let find it using LCM.

We get,

Let's now add the fractions,

Therefore, Brandy bought a total of 13/12 or 1 1/12 pounds of meat.

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

Answer:

a = -76.204

b = 37.673

Last part is B. 51

The logarithmic regression equation for a stalk of corn is y = -76.2 + 37.8 ln(x)

Regression equations are used to determine the relationship between the variables of a scatter plot dataset

Below are the steps to determine the logarithmic regression equation

To determine the logarithmic regression equation, we make use of a graphing calculator with the following calculation summary:

A logarithmic regression equation, is represented as:

y = A + B ln(x)

Substitute the values of A and B in y = A + B ln(x)

y = -76.2 + 37.8 ln(x)

Hence, the logarithmic regression equation is y = -76.2 + 37.8 ln(x)

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Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

Cube

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. (6/a)x + 5 = 4

(6/a)x = -1

  6x = -a

x = -a/6

2. 2ax + 7 = 13

2ax = 6

ax = 3

x = 3/a

3. -ax - 20 = -14

-ax = 6

x = -6/a

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

39.5

Step-by-step explanation:

Open the bracket by multiplying the numbers in the bracket by 2

2x-20=59

collect like terms(-20 crossing over the equal sign will become +20

2x=59+20

2x=79

Divide both sides by 2

\(\frac{2x}{2} =\frac{79}{2}\)

x=39.5

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The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

- 4 / 3

Step-by-step explanation:

3 ( x - 4 ) = 12x

Divide 3 on both sides,

3 ( x - 4 ) / 3 = 12x / 3

x - 4 = 4x

x - 4x = 4

- 3x = 4

x = 4 / - 3

x = - 4 / 3

Therefore the  the time todd needed to complete one full rotation around the Ferris wheel is 0.785min

There are numerous ways to define an equation in mathematics. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 2x + 4 = 14, for example, the two expressions 2x + 4 and 14 are separated by the symbol "equal." Mathematical variables are used in even the simplest and most basic mathematical equations.

Here,

the ferris wheel  radius = 10 meters

and he is 14 meters above the ground.

So we can build an equation with given data to find the time todd needed to complete one full rotation around the Ferris wheel

thus time is represented as t

Therefore ,the Ferris wheel rotates at a constant rate so that the angle sweeps out & radians per minute

so speed =8 rad/min

t=distance/speed

t=2\(\pi\)/8 min

t=0.785min

Therefore the  the time todd needed to complete one full rotation around the Ferris wheel is 0.785min

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By the nοrmal distributiοn fοrmula, Cindy will need tο scοre at least 636.8 οn the SAT math exam tο scοre better than 85% οf her peers.

Nοrmal distributiοn, alsο knοwn as Gaussian distributiοn οr bell curve, is a prοbability distributiοn that is cοmmοnly used in statistics. It is a cοntinuοus prοbability distributiοn that is symmetric arοund the mean, and it has the characteristic bell-shaped curve. In a nοrmal distributiοn, the mean, median, and mοde are all equal, and they are lοcated at the center οf the distributiοn. The standard deviatiοn determines the spread οr width οf the distributiοn.

Tο find the scοre that Cindy needs tο scοre better than 85% οf her peers, we need tο use the nοrmal distributiοn fοrmula and the given mean and standard deviatiοn. First, we need tο find the z-scοre that cοrrespοnds tο the 85th percentile. We can use a standard nοrmal distributiοn table tο find this value. The z-scοre fοr the 85th percentile is apprοximately 1.04.

Next, we can use the fοrmula fοr a z-scοre tο find the cοrrespοnding raw scοre (x):

z = (x - mean) / standard deviatiοn

We can rearrange this fοrmula tο sοlve fοr x:

x = z * standard deviatiοn + mean

Plugging in the values we knοw, we get:

x = 1.04 * 120 + 508 = 636.8

Therefοre, Cindy will need tο scοre at least 636.8 οn the SAT math exam tο scοre better than 85% οf her peers.

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Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Answer: (-8,8)

Step-by-step explanation:

f(x) = 3x

find the domain of the linear function

(-8,8)

Answer:

  A.  63°

Step-by-step explanation:

You want to know the base angle in the isosceles triangle in the given figure.

Angle ABC is the sum of its parts:

  ∠ABC = ∠ABD +∠DBC

The figure shows ∆DBC is equilateral, so ∠DBC = 60°. This lets us solve for the measure of angle ABD:

  114° = ∠ABD +60°

  54° = ∠ABD

∆ABD is isosceles, so the two base angles are congruent. The sum of angles in the triangle is 180°, so we have ...

  ∠ABD +∠BAD +∠BDA = 180°

  54° +2(∠BAD) = 180° . . . . . . . ∠BAD =∠BDA

  ∠BAD = 90° -27° . . . . . . divide by 2, subtract 27°

  ∠BAD = 63°

Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

Answer:

100r^4 + 400r^3 + 600r^2 + 400r + 100

Step-by-step explanation:

Expanding ( r + 1 )^4 gives :-

r^4 + 4r^3 + 6r^2 + 4r + 1

So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-

100r^4 + 400r^3 + 600r^2 + 400r + 100

Answer: B

Step-by-step explanation: Hope this helps:)

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.

Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

plane EBG

Step-by-step explanation:

plane C is also named plane EBG

Answer:

\(\\ \sf\longmapsto Plane EBG\)

We can't name it EBF as it is a axis and coplanar points

Also nEF is not a satisfactory name .

So the correct option is C

Answer:

yeah

Step-by-step explanation:

wrong subject dude

things go wrong sometimes

you lost 46 points

\(\lim_{n \to \infty} a_n\)

Answer:

Ratio = 152 : 1056

Percent = \(\frac{152}{1056} *100=14.39\)

Fraction = \(\frac{152}{1056}\)

Answer:

Ratio: 152:1056

Percent: 14.4

Decimal: 0.144

Step-by-step explanation:

It should be the answer but you may double check on a calculator.

Answer:

-5x

Step-by-step explanation:

-5x

step to step explaination:

2(5-3x)+(x-10)

=10-6x+x-10

=10-10-6x+x

= -5x

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