3x+4=25 what does x stand for

let's firstly convert the mixed fractions to improper fractions and then get their product.

[tex]\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{7}}\implies \cfrac{1\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{10}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\cdot \cfrac{10}{7}\implies \cfrac{7}{7}\cdot \cfrac{10}{2}\implies 1\cdot 5\implies 5[/tex]

Answer:

The width of the rectangle is 91 cm

Step-by-step explanation:

61 × 2 = 122

304 - 122 = 182

182 ÷ 2 = 91

Answer:

91 cm

Step-by-step explanation:

61 x 2 (because there are 2 sides with length 61) = 122
304 - 122 = 182
182 / 2 = 91

[tex]~~~~~~(x-1)^{\tfrac 32} =27\\\\\implies \left[(x-1)^{\tfrac 12} \right]^3 = 3^3\\\\\implies (x-1)^{\tfrac 12} = 3~~~~~~~~~;[\text{Cube root on both sides}]\\\\\implies x -1 = 9~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x = 10[/tex]

The length is 30 inches.

For a frame of length L and width W, the perimeter is:

P = 2*(L + W).

Here we know that:

P = 96 in

L = 2*W - 6in

Replacing that we get:

96in = 2*( (2*W - 6 in) + W)

Now we can solve that equation for W:

96in = 2*(3W - 6in)

96in/2 + 6in = 3W = 54in

W = (54in)/3 = 18in

The width is 18 inches, then:

L = 2*W - 6in = 2*(18 in) - 6in = 30in

The length is 30 inches.

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Answer:

14.14

Step-by-step explanation:

Answer:

The length of the diagonal of the square is about 14.142 feet

Step-by-step explanation:

Step 1:  Determine the length

[tex]P = 4(l)[/tex]

[tex]40\ ft = 4(l)[/tex]

[tex]\frac{40\ ft}{4}=\frac{4(l)}{4}[/tex]

[tex]10\ ft = l[/tex]

Step 2:  Determine the diagonal length

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

a and b are going to be the sides of the square which are both 10 ft so we just plug those in and solve for c

[tex](10)^2 +(10)^2 =c^2[/tex]

[tex]100+100=c^2[/tex]

[tex]\sqrt{200}=\sqrt{c^2}[/tex]

[tex]14.142=c[/tex]

Answer:  The length of the diagonal of the square is about 14.142 feet

Answer:

8640

Step-by-step explanation:

1) Volume of the lower prism:

V1 = 27*20*12 = 6480

2) Volume of the higher prism:

V2 = 9*20*12 = 2160

3) Volume of the podium: V1 + V2 = 8640

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y    -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions

Answer:

7

Step-by-step explanation:

21 = 3 x 7

35 = 7 x 5

70 = 2 x 5 x 7

The greatest common factor of 21, 35 and 70 is 7.

Note : -

The greatest common factor ( GCF ) of a set of numbers is the largest factor that all the numbers share.

Answer: Circle d

Step-by-step explanation:

Answer:

m∈(-∞;-2]∪[6;+∞).

Step-by-step explanation:

1) Δ=b²-4ac, then

m²-4(m+3)≥0; ⇔m²-4m-12≥0; ⇔ (m-6)(m+2)≥0;

2) m∈(-∝;-2]∪[6;+∝).

Answer:

The value of cos 67° is equal to the x- cordinate ( 0.3907 ). therefore, cos 67° = 0.3907

Answer:

Answer "A" is correct

Step-by-step explanation:

I got it right on edge test

Answer:

A. 3b + 2

Step-by-step explanation:

We know that Tony ordered 3 copies and the shipping costs $2, what we don't know is b.

What don't we know? The cost of the 3 copies.

So 3b (3 multiplied by the cost(?)) + (because shipping is more money so we use addition.) and we know that the shipping is $2. Therefore our expression is

3b + 2

Answer:

See below ~

Step-by-step explanation:

The statements which are true :

Answer: 4:7

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Given :

Solving :

Evaluating the expression :

Answer:

B. g(x) = (x + 2)²

Step-by-step explanation:

We got the graph of g by translating the graph of the parent function

f(x) = x² two units to the left

Therefore the equation of the graph of g is (x + 2)²

Answer:

90.24 in²

Step-by-step explanation:

Area of the pizza :

⇒ Area (rectangle) + Area (semicircle)

⇒ length × width + π × (radius)²

⇒ 8 x 5 + 3.14 x 4²

⇒ 40 + 3.14 × 16

⇒ 40 + 50.24

⇒ 90.24 in²

The area of a 2D form is the amount of space within its perimeter. The area of the pizza is 65.1327 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the pizza = Area of semi-circle + Area of Rectangle

                                   = (π/2)r² + (d×h)

                                   = [(π/2)×4²] + (8×5)

                                   = 25.1327 in² + 40 in²

                                   = 65.1327 in²

Hence, the area of the pizza is 65.1327 in².

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The equation that match the graph is

b. y = 3x^2

In mathematics, a vertical stretch is a transformation of a function that changes the distance between the function's graph and the x-axis without changing its shape.

A vertical stretch multiplies all the y-coordinates of a function's graph by a constant factor greater than 1. This causes the graph to be stretched vertically and move further away from the x-axis.

For example, if we have a function f(x) = x^2, a vertical stretch by a factor of 3 would result in the function g(x) = 3x^2.

The graph of g(x) would be the same as that of f(x), but stretched vertically by a factor of 3.

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The answer to this is:

0.34

The probability that a person with an iron deficiency is 20 years or older will be 0.34. Then the correct option is B.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The table is given below.

Then the probability that a person with an iron deficiency is 20 years or older will be

P = 102 / 300

P = 0.34

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Answer:

Step-by-step explanation:

x² + 10x + 21 = x² + (3x + 7x) + 21

                    = (x² + 3x) + (7x + 21)

                    = x(x + 3) + 7(x + 3)

                    = (x + 3)(x + 7)  

1.  The percent of cats between 24.16 and 35.84 is 95%

2. The percent of cats who are longer than 35.84 is 2.28 %

3. The percent of cats shorter than 24.16 inches is 2.28%

The empirical rule - formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Mean, u = 30 inches

Standard Deviation, s = 2.92 inches

Formula for z-score = (x-u)/s

1. We have to find the percent of cats between 24.16 and 35.84 inches.

24.16, z-score = -2

35.84, z-score = 2

According to the empirical rule,

95% of the data values are within 2 standard deviations of the mean.

So, 95% of the cats are between 24.16 and 35.84 inches.

2. Here, x = 35.84

   z=(35.84-30)/2.92

   z= 2

According to the Empirical Rule,

95% of the values lie within 2 standard deviations of the mean.

So, the percent of cats who are longer than 35.84

100 - 97.72 = 2.28%

3. Now, x = 36.22

Using the formula mentioned above, we get:

z= 24.16-30/2.92

z=-2

According to empirical rule,

68% of the values lie within 1 standard deviation of the mean.

i.e., remaining 32% are outside the 1 standard deviation and  half of the values i.e. 16% are below 1 standard deviation.

The percent of cats shorter than 24.16 inches is 2.28%

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Given

Find z-scores for x = 24.16 and x = 35.84

Use formula

Find the corresponding percentage from z-score table

The percent of cats between 24.16 and 35.84

The percent of cats who are longer than 35.84

The percent of cats shorter than 24.16 inches

Answer:

Step-by-step explanation:

there is no slope. they have the same coordinates

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

10yx⁵w⁴ - w³v⁵ - 5x¹¹ - 6

Degree = biggest exponent = 11

[tex](3^{-2})^4 = 3^{-2 \times 4} = 3^{-8} = \dfrac 1{3^8}\\\\\text{Hence the answer is D.}[/tex]

Answer:

1/3^8

Step-by-step explanation:

[tex]\hookrightarrow (3^{-2} )^{4} \\[/tex]

As,

x⁻²=1/x²

Then,

[tex]\hookrightarrow (\frac{1}{3^{2} } )^{4} \\\\\hookrightarrow (\frac{1}{9} )^{4} \\\\\hookrightarrow ((\frac{1}{3} )^{2})^{4} \\\\\hookrightarrow (\frac{1}{3})^{8}[/tex]

Answer:

9) Vincent will not get the correct answer because the + 484 is unneccesary, as he already subtracted it.

10a) 310,000 + x = 465,000; so x = 155,000

10b) 930,000/310,000 = 3 times more

Step-by-step explanation:

answer:

x = 4

y = -3

steps :

x = 10 + 2y

x + y = 1

2y = x - 10 -> y = 1/2x - 5

x + y = 1 -> y = 1 - x

since theyre both equal to y they are equal to each other

1/2x - 5 = 1 - x

3/2x = 6

x = 4

plug 4 back where x is

y = 1 - 4

y = -3

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