Solve this equation.What is the length of x?

3 × 17 over 17 × 21 with the first as numerator and second one as denominator

We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7

The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

From the question,

We are to evaluate  3/17 x 17/21

First, we will write the expression properly

The expression can be written as

[tex]\frac{3}{17} \times \frac{17}{21}[/tex]

The expression can be evaluated as shown below

[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes

[tex]\frac{3 \times 17}{17 \times 21}[/tex]

Simplifying, we get

[tex]\frac{3}{21}[/tex]

Further simplification gives

[tex]\frac{1}{7}[/tex]

Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

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Answer:

A

Step-by-step explanation:

edge 2020

Answer:

its A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:

60*5%= 3

According to this, Hunter answered correctly 3 problems on the final exam.

Answer:

Step-by-step explanation:

jan

m

m

jun

july

5/12

Probability month starts with the letter J or M is 5/12

Computation:

Number of total month = 12

Number of month starts with the letter J or M = 5

Probability = Number of desired output ÷ Number of total output

Probability month starts with the letter J or M is = 5 / 12

So, Option 'D' is the correct answer to the following question.

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Answer:

y ≤ −6x−21

Step-by-step explanation:

-12x – 2y ≥ –42

– 2y ≥ 12x –42

-2(– 2y ≥ 12x –42)

y ≤ −6x−21

really need brainliest!

Answer:

the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21

Step-by-step explanation:

Answer: 3 fluid ounces

Step-by-step explanation:

The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.

To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces

= 7/10 × 10

= 7 fluid ounces.

Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:

= 10 ounces - 7 ounces

= 3 ounces.

The regular bottle of shampoo holds 3 fluid ounces.

Answer:

Wind and biofuel

Step-by-step explanation:

The other are all nonrenewable.

Hope this helps. Also will you friend me so I know if you need any more help I can help you.

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

Answer:12

Step-by-step explanation:37=3x+1

Answer:

positive

Step-by-step explanation:

Answer:

DG = 31.75

Step-by-step explanation:

The question is incomplete; however, I'll answer your question using attached image.

From the attachment,

<G = 72° and DO = 8.2

Required

DG?

To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.

DG represents the hypothenus of the triangle;

DO represents the opposite of the triangle;

The two sides are bound by the sine function.

i.e.

Sin72° = DO/DG

Sin72° = 8.2/DG

Multiply both sides by DG

DG * Sin72 = 8.2/DG * DG

DG * Sin72 = 8.2

Sin72 = 0.2538

So, DG * Sin72 = 8.2 becomes

DG * 0.2538 = 8.2

Divide both sides by 0.2583

DG * 0.2583/0.2583 = 8.2/0.2583

DG = 8.2/0.2583

DG = 31.746031746

DG = 31.75 --- Approximated

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = [tex]10^2[/tex] square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is [tex]400cm^{3}[/tex].

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]

Volume of the cuboid is multiplication of base area and height of the cuboid.

  [tex]Volume=100*4=400cm^{3}[/tex]

Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].

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Evaluated: a=2b/5    :):):):):):):)

2/5a=b and5 /Answer:

Step-by-step explanation:a=

2b

The cone holds 44 cubic inches more ice cream than a cup.

Important information:

We need to find the volumes of each ice cream container.

Volume of the cone is:

[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V_1=\dfrac{1}{3}(3.14) (4)^2(6)[/tex]

[tex]V_1=100.48[/tex]

The diameter of the cylinder is 6 in so the radius is 3 in.

Volume of the cylinder is:

[tex]V_2=\pi r^2h[/tex]

[tex]V_2=(3.14)(3)^2(2)[/tex]

[tex]V_2=56.52[/tex]

Clearly [tex]V_1>V_2[/tex].

[tex]V_1-V_2=100.48-56.52[/tex]

[tex]V_1-V_2=43.96[/tex]

[tex]V_1-V_2\approx 44.0[/tex]

Therefore, the cone holds 44 cubic inches more ice cream than a cup.

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Answer:

p≤-5/4

Step-by-step explanation:

Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign

6p+2p+5≤-5

Collect like terms

8p≤-5-5

8p≤-10

Divide both sides of the inequality by 8

p≤-5/4

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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Answer:

$5.94

Step-by-step explanation:

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

Answer:

15.8 I think.........

Answer:

Mark me brain list pls pls pls pls pls pls

Step-by-step explanation:

16.9

Answer:

343.77

Step-by-step explanation:

1 radian is about 57.2958 degrees

so 57 times 6 is about 343.77

Answer:9

Step-by-step explanation:because when we add 7+7+6+6=26 then we will going to 35-26= 9 im not sure so don’t hate me if it was wrong

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for r in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

Answer:270

Step-by-step explanation: You have the first step right.

54 = 2 * 3^3

15 = 3 * 5

The common denominator will have the highest powers of all the prime factors.

2 * 3^3 * 5

270

Answer:

0.02

Step-by-step explanation:

The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10

9

1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km

3

)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10

12

km

3

kg

​

1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .

To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x

a

⋅x

b

=x

a+b

x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.

\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10

9

km

3

⋅1.03⋅10

12

km

3

kg

​

=1.3802⋅10

21

kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text

Hint #2

Next we want to know what portion of the earth's mass this represents. We have:

\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}

total mass of the earth

mass of the oceans

​

​

=

6⋅10

24

kg

1.3802⋅10

21

kg

​

=

6⋅10

3

1.3802

​

=

6000

1.3802

​

=0.0002300

3

​

To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300

3

%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.

Hint #3

To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.

Answer:(x+9)(x+3)

(I dont think it matters when it’s switched)

Hope I helped

Step-by-step explanation:

The middle number is 12 and the last number is 27.

Factoring means we want something like

(x+_)(x+_)

We need two numbers that...

Add together to get 12

Multiply together to get 27

Can you think of the two numbers?

Try 3 and 9:

3+9 = 12

3*9 = 27

Fill in the blanks in

(x+_)(x+_)

with 3 and 9 to get...

(X+3)(x+9)

(x+3)(x+9)

Answer:

Interest earned is $90

balance is $290

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

74 and 79

Step-by-step explanation:

one standard deviation= 5°

range of one standard deviation: (78-5) to (78+5)

                                                        73° to 83°