maria's age is 3 years more than twice george's age.Which expression represents george's age in term of maria's?

Answer:

it is 3(x+2)

Answer:

3(x+2)

Step-by-step explanation:

You first find the common factor.

3x+6

3(x+2) solution.

Answer:240

Step-by-step explanation:

400/5 = 80
80 x 3 = 240
240/400 people bought choc chip

Answer:

-3 will be on the -x axis n the -6 will be on the -y axis so both will meet at a point.

Step-by-step explanation:

that is all I understand am not sure if I am ryt

Answer:

x = 10/9

Step-by-step explanation:

Solve:

27^(3x-2) = 81

When solving equations in exponential form make sure the two bases on both sides are the same.

3^3(3x-2) = 3^4

Once the two bases are the same you cancel them out and used its exponent to solve the equation.

3(3x-2) = 4

9x-6 = 4

Add 6 to both sides.

9x-6+6 = 4+6

9x = 10

Divide both sides by 9.

x = 10/9

Therefore x = 10/9.

Answer:

5 is the answer to that question

Answer:

D. √45

Step-by-step explanation:

(4, -1) (7, 5)

(x₁, y₁)  (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(7 - 4)² + (5 - (-1))²

d = √(3)² + (6)²

d = √9 + 36

d = √45

I hope this helps!

Answer:

Step-by-step explanation:

31

Answer:

[tex]y = 35x - 3[/tex]

Step-by-step explanation:

Based on the given conditions

[tex]m = 35[/tex]

Substitute and calculate

Substitute:

[tex]m = 35 \\ x = 0 \\ y = - 3[/tex]

Into:

[tex]y = mx + b[/tex]

Therefore, the equation of the line is:

[tex]y = 35x - 3[/tex]

a = amount invested at 2%

how much is 2% of "a"? (2/100) * "a", namely 0.02a.

b = amount invested at 7%

how much is 7% of "b"? (7/100) * "b", namely 0.07b.

We know that fund A is less than fund B by 8000, that is a = b - 8000.

we also know that the yielded amount in interest is $1730, so if we simply add their interest, that'd be 0.02a + 0.07b = 1730.

[tex]\boxed{a = b - 8000} \\\\\\ 0.02a~~ + ~~0.07b~~ = ~~1730\implies 0.02(\stackrel{a}{b-8000})~~ + ~~0.07b~~ = ~~1730 \\\\\\ 0.02b-160+0.07b=1730\implies 0.02b+0.07b=1890\implies 0.09b=1890 \\\\\\ b=\cfrac{1890}{0.09}\implies \blacksquare~~ b=21000 ~~\blacksquare[/tex]

In a triangle of EFG we have ∠E+∠F = 120°,E=(8x-2)° and F=(7x+2)°.

Option B is true and angle of G is 60°.

Given that,

∠E+∠F = 120°

In the figure we have a triangle with EFG.

E=(8x-2)°

F=(7x+2)°

We know

∠E+∠F = 120°

8x-2+7x+2=120

15x=120

x=120/15

x=8

We got x =8

∠E=8[tex]\times[/tex]8-2=62°

∠F=7[tex]\times[/tex]8+2=58°

Now, we know in a triangle all angles are equal to 180°.

∠E+∠F+∠G=180°

62°+58°+G=180°

120°+G=180°

G=180°-120°

G=60°

We have 4 option

a) (7x)° which is false

b) (7x+4)° which is true (7[tex]\times[/tex]8+4=60°)

c)(8x)° which is false

d) (8x+4)° which is false

Therefore, option B is true and angle of G is 60°.

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The amount Trey invested in Fund B is $8,000.

Profit is a residual income, It is the gain amount from any kind of business activity. In short, if the selling price (SP) of the product is more than the cost price (CP) of a product, then it is considered as a gain or profit. while return is a total revenue. Profits may be negative, whereas returns, such as wages and interest are always positive.

amount invested in Fund A = $12,000            (given)

profit returned by Fund A =  1% of $12,000    (given)

= 1/100*$12,000

= $120

Let amount invested in Fund B = x                   (assumption)

profit returned by Fund B =  6% of x                 (given)

= 6/100*x

= $ 6x/100

Given that both funds A and B together returned a 3% profit, So the equation we get is

120+6x/100 = 3% of (12,000+x)

(12,000+6x)/100 = 3/100* (12,000+x)

12,000+6x = 3(12,000+x)

12,000+6x = 36,000+3x

6x-3x = 36,000-12,000                       (bringing like terms on same side)

3x = 24,000

x = 24,000/3

x = $8,000

Therefore, we can conclude that the amount Trey invested in Fund B is $8,000  

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Answer: 148.50

Step-by-step explanation:

15*5=75

75*$1.98=$148.50

Answer:

33 g

Step-by-step explanation:

the weight of the donut is a distractor number. if each donut has 11,000 mg of sugar, then 11,000 x 3 = 33,000 mg. In order to convert mg into g, we move the decimal over to the left 3 times.

33000. (0 times)

3300.0 (1 time)

330.00 (2 times)

33.000 (3 times)

Answer:

66%

Step-by-step explanation:

Answer:

66 % 

Step-by-step explanation:

It is 66 % because to convert you have to follow these steps

Step 1: Identify the ratio.

Step 2: Express the ratio a:b in the form of a fraction a/b.

Step 3: Multiply the fraction by 100.

Step 4: Simplify and write the answer with the percent symbol (%).

The ounces of herbs costing $1 per ounce that should be mixed with these 50 oz of herbs to produce a mixture costing $2.50 per ounce?

is 50 ounces.

Let x = the amount of herb that costs $1 per ounce.

Based on the information,the total weight will be:

x + 50 = y.

At $2.50, the cost of the mixture will be:

1x + 4(50) = 2.50y

x + 200 = 2.50y

x + 200 = 2.50(x + 50)

x + 200 = 2.50x + 125

Collect like terms

2.5x - x = 200 - 125

1.5x = 75

Divide

x = 75/1.5

x = 5.

Therefore, the correct option is 50

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Answer:

[tex]8^{15[/tex]

Step-by-step explanation:

Hello!

Use exponent rule: [tex]a^b * a^c = a^{b + c}[/tex]

Use the rule to simplify the exponential expression.

The simplified form is [tex]8^{15[/tex].

Answer:

Sub in the numbers given to x, y, z and use calculator to solve

Answer: C

Step-by-step explanation:

Options A, B and D are all unbiased since there is nothing in the question taht could nudge you into a specific thought, but in option C, they specifically call it beautiful to put it in your mind and you will be more likely to call the dress beautiful compared to anything else.

The distance between the two points are-9.87 units.

The distance formula is;

d² = (y₂ - y₁)² + (x₂ - x₁)²

Let the two given points be;

A(x₁, y₁) = (-1,-9)

B(x₂, y₂) = (6, - 16)

Put the values in the formula;

d² = (-16 + 9)² + (6 + 1)²

d² = (-7)² + (7)²

d² =2 (7)²

d = 7√2

d = 7×1.41

d = 9.87

Therefore, the distance between the two points is found as 9.87 units.

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Answer:

7.112 x [tex]10^{-5}[/tex]

Step-by-step explanation:

You need to re-write the number so that it is 1 or larger but less than 10.  To do that, we need to move the decimal 5 spaces to the right.  The actually number is smaller.  The [tex]10^{-5}[/tex] is telling me how much smaller the number actually is.  To get the number in standard notation I would have to take 7.112 and divide it by 100,000.

Answer:

7000 panels.

Step-by-step explanation:

Let x be the number of panels produced by Plant B.

Therefore:

Given information:

Create an equation with the given information and defined variables, remembering to write the percentages in their decimal form:

[tex]\implies 0.03(4x) + 0.02x = 980[/tex]

To find the number of panels Plant B produced, solve the found equation for x:

[tex]\implies 0.03(4x) + 0.02x = 980[/tex]

[tex]\implies 0.12x + 0.02x = 980[/tex]

[tex]\implies 0.14x = 980[/tex]

[tex]\implies \dfrac{0.14x}{0.14} = \dfrac{980}{0.14}[/tex]

[tex]\implies x=7000[/tex]

Therefore, Plant B produced 7000 panels.

Answer:

15+90=3×18

Step-by-step explanation:

GCF= 5

The time taken to ascend from the initial height to the final height; Time taken = 5 minutes

We are given;

Initial Height = 6000 ft

Final height = 6600 ft/min

Speed = 6600 ft/min

Now, the time taken to ascend from the initial height to the final height;

Time taken = (39000 - 6000)/6600

Time taken = 5 minutes

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Answer:

5

Step-by-step explanation:

that is hte anwers

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5x-2}[/tex] = [tex]\frac{3}{6x+1}[/tex] ( cross- multiply )

3(5x - 2) = (2(6x + 1) ← distribute parenthesis on both sides )

15x - 6 = 12x + 2 ( subtract 12x from both sides )

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

The coordinates of B is (-5, 6).

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space

What is section formula ?

The section formula helps in determining the coordinates of a point which facilitates division of the line joining two points in a ratio. This takes place either internally or externally.

P (x, y)= (c*m + a*n)/(m + n) , (d*m + b*n)/(m + n ).

Given:

let the coordinates of B (x, y)

M is midpoint M(-6,4) and coordinates of A are (-7, 2)

Using section formula

-6 = (x -7)/2

-12 = x -7

x = -5

and, 4 = y+2/2

8 = y+2

y = 6

Hence, the coordinates of B is (-5, 6)

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The area of the rectangular backyard is 804.37

The area of a rectangle can be calculated by multiplying the length and the width

Area= length × width

Length= 35.75 feet

Width= 22.5 feet

Area= 35.75 × 22.5

= 804.37

Hence the area of the rectangular backyard is 804.37

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Definition: n math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given,

Points scored per game by 35 NBA players during the 2017 basketball season.

Context: Points scored per game by 35 NBA players

Shape: dotted, no gaps

Outliers: none

Center: 14(Median)

Spread: Data varies from somewhere between (12-14) to somewhere between (24-26)

context is about the graph

shape is about the representation

outliers is whether any point is farther

center is the median

spread is till where the graph is extended with gaps in between

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k = -3 is the value in straight line.

What is  straight line?

Simply put, a straight line is a line devoid of bends. A straight line is one that does not curve and reaches to infinity on both sides.

Different  type

On putting the values of the point in the equation of line, the value of X = 2 and Y = -8

When a line passes through a point, the point satisfies the equation of the line.

The line   y = kx + 4 goes through the point (2, -2)

So, ( 2 , -2 )  must satisfy the equation of the line.

Put  x = 2 y= - 2 in equation y = kx + 4

-2 = k * 2 + 4

- 2 = 2k + 4

-2 -4 = 2k

-6 =2k

k = -6/2

k = -3

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Step-by-step explanation:

if I understand you correctly, then we have the 4 described cards. 3 of these 4 cards are face cards (Jack, Queen, King).

a probability is always desired cases over totally possible cases.

so, for the first pull we have a probability of

3/4 = 0.75

we have 4 total possibilities, and 3 of them are the desired outcome.

for the second pull we have then only 3 cards left (we did not replace the first pulled card). and because the first pulled card was in this scenario a face card, 2 out of these 3 cards are face cards.

so, the probability to pull a face card here is

2/3 = 0.66666...

when we combine these 2 events into one connected event (we are creating event 1 AND event 2), we multiply the probabilities, giving us

3/4 × 2/3 = 6/12 = 1/2 = 0.5