Mary used the equation 292 = 5h + 192 to determine her
salary at the restaurant last week. Which situation does this
equation best represent?

Step-by-step explanation:

The two lines intersect at one point so the system has exact same solution (one solution )

Answer:

10

Step-by-step explanation:

If b = 2, then b*5 = 10

Answer:

B) 3.14(144)

D) 2(3.14)(12)

E) 3.14(24)

Step-by-step explanation:

The formula to find the area of a circle is [tex]\pi r^2[/tex], where r = radius, while the formula to find the circumference of a circle is [tex]2\pi r[/tex] or [tex]\pi d[/tex], where r = radius and d = diameter.

Given the information above, option B) is a correct statement because 12^2 equals 144, and once you're done solving the square, you multiply it by 3.14. Next, option D) and E) are correct, too, because they exactly follow [tex]2\pi r[/tex] and [tex]\pi d[/tex]. Furthermore, for E), diameter = twice the radius, so it makes sense to multiply 3.14 by 24.

Answer: a = 0.91421

Step-by-step explanation:

Hi! I'm assuming this question is using degrees for sin and not radians, let me know if that's right!

The equation seems a bit weird, but

a is approximately 0.91421

if you go to wolframalpha site, you can plug in this equation to the website and receive an answer !

Answer:

The hypotenuse would be 87.2

Step-by-step explanation:

We start by plugging in 13 for x for both sides of the triangle.

[tex]5(13)+5 = 70[/tex] and [tex]4(13) = 52[/tex].

Next, we use the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex]

We plug in 70 for a and 52 for b

After plugging them in, you get [tex]4900+2704=c^2[/tex]

Now, we add a and b

[tex]7604=c^2[/tex]

Finally, take the sqrt of 7604

c = 87.2009174264, rounded to the nearest tenth is 87.2

Answer:

Hypotenuse = 87.2

Step-by-step explanation:

First find the lengths of the legs given the value of x

Left leg : 5x + 5

x = 13

5(13)+5

65 + 5 = 70

Bottom Leg : 4x

x = 13

4(13) = 52

So we have legs with lengths of 70 and 52 and knowing this we want to find the length of the hypotenuse.

We can do this by using the Pythagorean Theorem : a² + b² = c²

Where a and b = legs and c = hypotenuse

We are given the legs and we want to find the hypotenuse (c)

We can do this by plugging in the values of the legs into the Pythagorean Theorem and solving for c

Pythagorean Theorem : a² + b² = c²

a = 52 and b = 70

52² + 70² = c²

52² = 2704 and 70² = 4900

2704 + 4900 = c²

7604 = c²

take the square root of both sides

√7604 = 87.2 ( rounded to the nearest tenth ) and √c² = c

We're left with c = 87.2

The length of the hypotenuse is 87.2

The value of x is 7 in both similar triangles.

Given that the two triangles are similar. The attachment shows the triangles.

[tex]\Delta MNP[/tex] is equivalent to [tex]\Delta OPR[/tex]. Also, [tex]\angle MPN[/tex] is equal to [tex]\angle OPR[/tex] and both are right angles. Also given that,

NO = 6, NP = 8, MP = 2x-2, PR = 3x

Thus, OP = NO + NP

OP = 6+8= 14

As per the AA postulate of similarity theorem of triangles, the corresponding sides will be equal.

[tex]\dfrac {OP}{NP} = \dfrac {PR}{MP} =\dfrac {OR}{MN}[/tex]

We take the two sides,

[tex]\dfrac {OP}{NP} = \dfrac {PR}{MP}[/tex]

[tex]\dfrac {14}{8} = \dfrac {3x}{2x-2}[/tex]

[tex]28x-28 = 24x[/tex]

[tex]4x = 28[/tex]

[tex]x = 7[/tex]

Hence we can conclude that the value of x is 7.

To know more about the AA postulate of similarity theorem, follow the link given below.

https://brainly.com/question/2820198?referrer=searchResults

Answer:

The area covered by a velocity-time(v-t) graph represents the distance covered by the body.

Simply find the area covered by graph.

If it's not easy to do so, then make different slots to find area, and at last add all of the slots' areas.

I hope it helped you! ;w;

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

2/5 x 7/16 = fractional portion of 8th graders who are girls

= 14/80

80 divided into 14 is .45 which is 45%

Step-by-step explanation:

option F HI = EF

hope this helps you!

Answer:

F

Step-by-step explanation:

with HI = EF we have then the SAS criteria fulfilled (side-angle-side, with the angle enclosed by the 2 verified sides).

Answer:

[tex]\frac{1}{45}[/tex] chance to grab both $20 bills

Step-by-step explanation:

There are ten bills in total.

The probability that the first dollar she picks is a twenty-dollar bill is 2/10 because she can pick either of the two twenty-dollar bills out of the ten in her wallet. Next, we need to pick the second bill. There are nine bills left, and only one is a twenty-dollar bill. The probability of choosing a second dollar bill is 1/9.

(2/10)*(1/9)=2/90=1/45

Answer:

H is gonna be equivalent to 5

The answer is 21e + 35

Because there is not any value given

or

there should be like this:

21e + 35 = 161

21e = 161 - 35

e = 126 / 21

e = 6

If there is not like above example then the answer is 21e + 35

Answer:

28cm

Step-by-step explanation:

To calculate the area of this shape, we need to seperate it into two shapes.

We see that the length of the top shape is 2 CM.  Since the top shape is a square, we know it is a 2x2 shape (because two of the other sides are 2cm.)  The area of the top shape, the square, can be found by performing the formula for calculating area (length x width).  2 x 2 = 4 (duh, haha).  Now, we need to find the area of the bottom shape.  Since we're separating them into two shapes, we need to subtract the length of the first shape and this one.  4 x 6 (the area formula) will give us 24.  Now, we need to add our two shapes to get the area of the entire shape.  24 cm + 4 cm = 28 cm.

Answer:

120 grams

if they are all the same size

Answer:

Step-by-step explanation:

[tex]12^{2x-1}=(\sqrt[4]{12})^{x}\\\\ 12^{2x-1}= (12^{\frac{1}{4}})^{x}\\\\12^{2x-1}=12^{\frac{1}{4}*x}\\[/tex]

Bases are same. So, compare the exponents.

[tex]2x - 1 =\dfrac{1}{4}x[/tex]

Multiply the entire equation by 4

4*(2x - 1) = x

8x - 4 = x

8x     = x + 4

8x -x  = 4

        7x = 4

         x = 4/7

Answer:Adding 5% interest to an account yearly has the same effect as taking 105% of its current value every year (you're taking all of your money - 100% of it - and adding an extra 5%, getting you 100% + 5% = 105%). This means that, if we started with $1000, after the first year, we'd have

1000(1.05) = $1050

after the second, and third years

1000(1.05)(1.05) = 1000(1.05)² = $1102.50

1000(1.05)(1.05)(1.05) = 1000(1.05)³ ≈ $1157.62

We can see a pattern starting to emerge. The 1000 always stays the same since its our starting value, but the power of the 1.05 goes up by 1 every year. In general, if we call the current value of the account in dollars y and the number of years it's been in the account x, then we can write this pattern generally as

Step-by-step explanation:

Answer:

I think that is 45 b/c I am learning now that f(×)=6 like this c=15×3, c=45

Answer:

135°

Step-by-step explanation:

To convert Radians to Degrees, you multiply the Radians amount by [tex]\frac{180}{\pi}[/tex].

Thus, we get [tex]\frac{3\pi }{4}[/tex] * [tex]\frac{180}{\pi}[/tex]

We then get [tex]\frac{540\pi }{4\pi }[/tex], which simplifies into 135 degrees.

Answer:

b

Step-by-step explanation:

Angle beside 60°

Now

Sum of interior angles=exterior angle

Answer:

24

Step-by-step explanation:

because it is 24 radius

Answer is False Solution

Step-by-step Explanation -

As per question,

[tex](5 + 1)^2- (12 + 3^2)= 3[/tex]

Now solving,

[tex]↪( {6}^{2} ) + (12 + 9) = 3[/tex]

[tex]↪36 + 21 = 3[/tex]

[tex]↪57≠3[/tex]

[tex]↪False \: Solution[/tex]

Therefore, Answer is not as per given options.

Therefore, it is a FALSE SOLUTION

Answer:

The basketball that is 2 feet off the ground

Step-by-step explanation:

It is the closest to the floor and therefore has the least gravitational potential energy.

Only 1, 54.

There are obviously no such 1-digit numbers (1 - 9).

Let n = ab be a 2-digit number whose value is 6 times its digit sum, meaning

n = 10a + b = 6 (a + b)

Then

10a + b = 6a + 6b

4a = 5b

Now, 4 and 5 are coprime, so for equality to hold, a must be a multiple of 5 and b must be a multiple of 4.

The only valid multiple of 5 is 5 itself:

• a = 5   ⇒   5b = 20   ⇒   b = 4

There are 2 multiples of 4 to check. The first one gives the same result as a = 5.

• b = 8   ⇒   4a = 40   ⇒   a = 10

but a must be 1-digit.

So among the 2-digit numbers, only 1 such number exists, n = 54.

Let n = abc be a 3-digit number satisfying the criterion. Then

n = 100a + 10b + c = 6(a + b + c)

100a + 10b + c = 6a + 6b + 6c

94a + 4b = 5c

c must be a number from 1-9, which means at most 5c = 5•9 = 45.

If we take the smallest possible values of a and b, we have

94•1 + 4•0 = 94

but the smallest value of 94a + 4b is larger than the largest value of 5c.

So there are no such 3-digit numbers.

Answer:

The initial value of all linear functions that show a proportional relationship is 0. If it is a proportional linear relationship the origin of the function is at (0,0).

Answer:

27

Step-by-step explanation:

if x-12=15

we add 12 to both sides

x-12+12=15+12

x=15+12

x=27.

For a transition up you would add the number of h it’s of the transition to the y value and keep the x value the same

the transition would be (6, -5 + 1) = (6,-4)

draw the point at (6,-4) which would be one line above where the dot is now.