Which of the following is equivalent to 5x + 7 = 6y?
А
5z+6 = 7
B
5z+6y = -7
C
5X- 6y =7
D
5x - y = -7

The volume of the rectangular prism with the dimensions given are as follows:

v = 72 inches³

v = 36 inches³

v =  80 inches³

v = 54 inches³

where

l = length

w = width

h = height

Therefore,

a.  

b.

c.

d.

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Answer:

I think it is x is equals to 5/6.

Step-by-step explanation:

5/x = 25/6

x/5 * 5/x = 25/6 * x/5

x = 5/6

▪ Answer:

x = 5/6

▪ Step-by-step explanation:

Hi there !

5/x = 25/6

x = 5×6/25

x = 30/25

simplist 5

x = 6/5

Good luck !

Answer: 0.29

Step-by-step explanation:

The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15.  Multiply these together to get the total probability:

6/17 x 5/16 x 4/15 = .029

The constant terms are 12, -16, -10.

Look at the attached image for an example of how to identify constants!

Hope that helped!

Answer:

[tex]\huge\boxed{\sf{12, -16, -10}}[/tex]

Step-by-step explanation:

Hello.

Please remember that a constant is a number without any variables next to it.

Let's search for constants in this expression.

The first term is 12. It has no variables, thus, it's a constant.

The second term is 15x. It does have a variable, thus, it's not a constant.

The third term is -16. It has no variables, thus, it's also a constant.

The 4th term is -4x (not a constant)

The last term is -10 (a constant)

I hope it helps & have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

Answer:

1:4

Step-by-step explanation:

To represent 14:56 as a simplified ratio, we need to reduce it by finding the GCF (greatest common factor) and dividing it by both terms.

The GCF of 14 & 56 is 14.

14 / 14 = 1

56 / 14 = 4

Thus we are left with our new simplified ratio, 1:4.

Answer:

$20

Step-by-step explanation:

The large ones cost $4 more so what you would do is to subtract that $4 from the $24.

24-4=20

You circled b and i would agree. Because Francesca is doing a living room, it would natuarly start at $25. So it cant be c. And Because x represents the walls, the graph would be a possitive corrolotion so i would say it is b

The graph b shows the adequate information for painting cost of living room. Option b is correct.

Graph that shows adequate information for cost of painting for living room to be determine.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Here, equation for the painting of living room can be given as y = 1x+25.
This relation ship clearly seen in graph b.

Thus, the graph b shows the adequate information for painting cost of living room.

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For the integral ∫asin(x)dx, use integration by parts ∫udv=uv−∫vdu.

Let u=asin(x) and dv=dx.

Then du=(asin(x))′dx=[tex]\rm \dfrac{dx}{ \sqrt{1 - {x}^{2} } } [/tex] and v=∫1dx=x

So,

[tex] \rm{\int{\operatorname{asin}{\left(x \right)} d x}}=\color{h}{\left(\operatorname{asin}{\left(x \right)} \cdot x-\int{x \cdot \frac{1}{\sqrt{1 - x^{2}}} d x}\right)}=\color{h}{\left(x \operatorname{asin}{\left(x \right)} - \int{\frac{x}{\sqrt{1 - x^{2}}} d x}\right)} \\ [/tex]

Let u=1−x2.

Then du=(1−x2)′dx=−2xdx and we have that xdx=−du/2.

The integral can be rewritten as

[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{g}{\int{\frac{x}{\sqrt{1 - x^{2}}} d x}} = x \operatorname{asin}{\left(x \right)} - \color{j}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} \\ [/tex]

Apply the constant multiple rule ∫cf(u)du=c∫f(u)du with c=-1/2 and f(u)=[tex] \frac{1}{ \sqrt{u} } [/tex]

[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{h}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} = x \operatorname{asin}{\left(x \right)} - \color{h}{\left(- \frac{\int{\frac{1}{\sqrt{u}} d u}}{2}\right)} \\ [/tex]

Apply the power rule

[tex] \rm\int u^{n}\, du = \frac{u^{n + 1}}{n + 1} \\ [/tex]

with n=−1/2

[tex] \rm x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\int{\frac{1}{\sqrt{u}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\int{u^{- \frac{1}{2}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\frac{u^{- \frac{1}{2} + 1}}{- \frac{1}{2} + 1}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\left(2 u^{\frac{1}{2}}\right)}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\left(2 \sqrt{u}\right)}}{2} \\ [/tex]

[tex] \rm Recall \: that  \: u=1− {x}^{2} [/tex]

[tex] \rm x \operatorname{asin}{\left(x \right)} + \sqrt{\color{re}{u}} = x \operatorname{asin}{\left(x \right)} + \sqrt{\color{rd}{\left(1 - x^{2}\right)}} \\ [/tex]

Therefore,

[tex] \rm\int{\operatorname{asin}{\left(x \right)} d x} = x \operatorname{asin}{\left(x \right)} + \sqrt{1 - x^{2}}+C \\ [/tex]

Answer:

Step-by-step explanation:

The formula for calculating the volume of a right triangular prism is:

Let's use the formula to calculate the volume of the right triangular prism.

common denominator = 7x11 = 77

5/7 = (5x11) / (7x11) = 55/77

and

8/11 = (8x7) / (11x7) = 56/77

5/7 and 8/11 can be rewritten as 55/77 and 56/77, respectively, so that they have a common denominator of 77.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To rewrite 5/7 and 8/11 with a common denominator:

We can find the least common multiple (LCM) of the denominators 7 and 11, which is 77.

Then, we can multiply each fraction by the appropriate form of 1 so that the denominators are equal to 77.

Here are the steps:

5/7 = (5/7) x (11/11) = 55/77 (multiply the numerator and denominator of the first fraction by 11)

8/11 = (8/11) x (7/7) = 56/77 (multiply the numerator and denominator of the second fraction by 7)

Therefore, 55/77 and 56/77 are the required fractions.

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Answer:

the slope is −12

Step-by-step explanation:

The equation of a perpendicular line to y=−x2+5 y = - x 2 + 5 must have a slope that is the negative reciprocal of the original slope.

-1/2

That would be the answer

Answer:

40

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent, so the other base angle is also 70 degrees.

This means that the interior angles are 70, 70, and x

Since the sum of the measures of the angles of a triangle is 180 degrees,

70+70+x=180

140+x=180

x=40

Answer:

60

Step-by-step explanation:

east and north are two axis that are perpendicular to each other, so if we use Pythagorean rule, sqr60^2+20^2=20sqr10, approximately 63.24555

Answer:

I don't know-how to answer that

Answer:

1110 g

Step-by-step explanation:

Here is the fastest way to solve this problem: (5 x 186) + (2.5 x 72)

However, if you want a step-by-step explanation, here it is:

The total mass of the coins in the bag is the mass of the nickels plus the mass of the pennies.

Let's start by finding the mass of the nickels in the bag.

We know that one nickel has a mass of 5 g, and that there are 186 nickels. So, the total mass of all the nickels in the bag will be 186 x 5 = 930 g.

Now, let's find the mass of the pennies in the bag.

We know that one penny has a mass of 2.5 g, and that there are 72 pennies in the bag. So, the total mass of all the pennies in the bag will be 2.5 x 72 = 180.

We now add these two masses (930 + 180) to get our final answer, 1110 g.

Answer:

=−148

     3

(Decimal: -49.333333)

Step-by-step explanation:

−364

9

−(

−102

9

)−

182

9

Answer:

36 Minutes

Step-by-step explanation:

150/8=18.75

675/18.75=36

So hence, your answer is 36 Minutes

-------------------------------------------------------------------------------------------------------------

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~[tex]FieryAnswererGT[/tex]~

Origin = [tex](0, 0)[/tex]

Point = [tex](-18, 24)[/tex]

Distance = [tex]\sqrt{(24 - 0)^2 + (-18 - 0)^2} = \sqrt{24^2 + (-18)^2} = \sqrt{576 + 324} = \sqrt{900} = 30[/tex]

The distance from the origin to the point (-18, 24) is 30 units.

To find the distance from the origin (0, 0) to the point (-18, 24), we can use the distance formula in two-dimensional Cartesian coordinates.

The distance formula between two points [tex](x_1, y_1) and\ (x_2, y_2)[/tex] is given by:

[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\][/tex]

In this case, the coordinates of the origin are (0, 0) and the coordinates of the point are (-18, 24). Plugging these values into the distance formula, we get:

[tex]\[d = \sqrt{(-18 - 0)^2 + (24 - 0)^2} = \sqrt{(-18)^2 + 24^2} = \sqrt{324 + 576} = \sqrt{900} = 30\][/tex]

So, the distance from the origin to the point (-18, 24) is 30 units.

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Answer:

none

Step-by-step explanation:

plug it in, it doesnt add up

Answer:

Probability of drawing a yellow candy: 10/36= 5/18

Something besides a yellow candy: for ecample: the red candies: 8/36= 2/9

Step-by-step explanation:

Probability of drawing yellow candies equals the sum of candies over yellow candies.

Answer:

For number question #8 its 8/3

Step-by-step explanation:

One way i do is multiply the denominator by the whole number and then add the numerator . For example 2 2/3

2x3=6     6+2=8

Do NOT change the numerator, it stays the same.

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here,

The dimension of larger cuboid are

We know that,

Lateral surface area of cuboid

[tex]\bold{\red{ = 2( lb + bh + hl)}}[/tex]

Subsitute the required values,

[tex]\sf{ = 2[(7)(7) + (7)(12) +(7)(12) ]}[/tex]

[tex]\sf{ = 2[ 49 + 84 ]}[/tex]

[tex]\sf{ = 2[ 49 + 168 ]}[/tex]

[tex]\sf{ = 2[ 217 ]}[/tex]

[tex]\bold{ = 434 cm^{2}}[/tex]

We have to find the lateral surface area of smaller cuboid

Therefore,

Lateral surface area of smaller cuboid

[tex]\sf{ = 2[(2)(7) + (7)(2) +(2)(2) ]}[/tex]

[tex]\sf{ = 2[ 14 + 14 + 4 ]}[/tex]

[tex]\sf{ = 2[ 28 + 4 ]}[/tex]

[tex]\sf{ = 2[ 32]}[/tex]

[tex]\bold{ = 64 cm^{2}}[/tex]

The common base area of both the cuboids

[tex]\sf{ = lb }{\sf{ + lb}}[/tex]

[tex]\sf{ = 14 + }{\sf{ 14}}[/tex]

[tex]\bold{ = 28 cm^{2}}[/tex]

The total surface area of the given composite figure

= SA of larger cuboid + SA of smaller cuboid - common base area

Subsitute the required values,

[tex]\sf{ = 434 + 64 - 28 }[/tex]

[tex]\sf{ = 498 - 28 }[/tex]

[tex]\bold{ = 470cm^{2}}[/tex]

Hence, The surface area of composite figure is 470 cm² .

Answer:

470cm²

Step-by-step explanation:

SA= (12*7)*4+(7*7)*2+(2*2)*2+(7*2)*2

=336+98+8+28

= 470 cm²

Therefore, the surface ares is 470 cm².

~

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

Answer:

7.011%

Step-by-step explanation:

61/(300+100+7+61+402) = 0.07011

Multiply the result of that by 100 to get 7.011%.

[tex]f(x) = \sqrt{7 + x} [/tex]

[tex]7 + x \geqslant 0[/tex]

[tex]x \geqslant - 7[/tex]

[tex]domain \: - 7 \leqslant x \leqslant \infty [/tex]

[tex]range \: \: 0 \leqslant f(x) \leqslant \infty [/tex]

Answer:

-1

Step-by-step explanation:

5-2=3

2-3=-1