Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 0.42 + 2.14 = ___.

2.5
3
3.5
4

Answer:

12,880

Step-by-step explanation:

You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.

Answer:

a=24

b=7

now

24+(7-4)

24+3

27

so the answer is 27

Answer:

4 1/3

Step-by-step explanation:

Hypothetically, imagine 2 5/6 was postive, you add it to 1 1/2 to get your answer, but you cant do that until the fractions have a common denominator. To get a common denominator of six, you would multiply both the numerator and denominator of 1/2 by 3, giving you 3/6. Now you have 2 5/6 and 1 3/6, adding them together gives you 3 8/6, but we cant stop here, since 8/6 is 1 2/6, add 3+1 and you now have 4 2/6. The last thing you do here is simplyfy the fraction making it 1/3 now instead of 2/6. Giving you a final answer of 4 1/3 units.

Answer:

f(6) = 35

Step-by-step explanation:

f(6) means the function value for the x-coordinate  6. To find this, we need to find out which function to use (either 0 or 35x-175). 0≤x≤5 means that f(x)=0 for any value between 0 and 5 and including 0 and 5 themselves. However, we need to find the value for x=6, so we need to use the other function (35x-175). This gives us:

f(6) = 35 * 6 - 175 = 210 - 175 = 35

I hope this helps!

So this way we can do it. Thankyou!

Answer:

Step-by-step explanation:

Answer:

a²+(b-c)²

hope it helps

   If the points P, Q, V and K are collinear, they will follow the segment addition postulate.

Measure of segment VP will be 214 units.

   It's given in the question,

By segment addition postulate,

            KQ + VQ + VP = KP

Substitute the values in the expression,

(11x + 5) + (17x + 6) + (14x + 4) = x + 630

(11x + 17x + 14x) + (5 + 6 + 4) = x + 630

42x + 15 = x + 630

42x - x = 630 - 15

41x = 615

x = [tex]\frac{615}{41}[/tex]

x = 15

Therefore, measure of VP = (14x + 4)

                                           = 14(15) + 4

                                          = 214 units

Measure of segment VP will be 214 units.

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Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Answer:

Step-by-step explanation:

The solution of a linear system is the intersection of the lines.

We can see the lines A and B intersect at the point (7.5, 12) which is the solution.

See attached for better visualization.

Answer:

(7.5,12.5)

Step-by-step explanation:

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Step-by-step explanation:

x = elsie ticket

[tex] \frac{2}{3} x + 10 = 21[/tex]

Answer:

No I am pretty sure it is the 4th answer my guy.

Step-by-step explanation:

2/3x-10=21

Answer:

Step-by-step explanation:

Answer:

The balance would be $160 from whatever it was before the 4 months.

Step-by-step explanation:

Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.

So if the balance before was $40, then the new balance after 4 months would be $200.

If there's no money previously, then there is now $160 after 4 months.

If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.

Answer:

64w^2

Step-by-step explanation:

Because 8w is in parentheses, you must apply the exponent to both the 8 and w.

So, it becomes (8*8)(x*x) which equals (64)(x^2).

Which then gives you your final answer, 64x^2.

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

Answer:

x + 2 + 3x = 30

Step-by-step explanation:

Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.

Let x = Zach's car length.

Zach's car length is x.

"Ginny's car is 2 more than 3 times the length of Zach's car."

Ginny's car length is 2 + 3x.

Add the lengths:

x + 2 + 3x

"The sum of the lengths of both cars is 30 inches."

x + 2 + 3x = 30

Answer: x + 2 + 3x = 30

Answer:

10, 12, 14

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let (x+2) be equal to the next even integer.

Let (x+4) be equal to the largest even integer out of the three.

We're given:

⇒ smallest number + (2 × middle number) = 20 + largest number

Construct an equation:

[tex]x+2(x+2)=20+(x+4)[/tex]

Combine like terms:

[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10, making the next two even integers 12 and 14.

I hope this helps!

Answer:

16/40 = 0.4

Step-by-step explanation:

Find total marbles then divide the number of green by total.

Answer:

3

Step-by-step explanation:

First, let's write down what we know.

AB = 3x

AC = 5x+21

Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.

AB + AB = AC

Let's plug in our values.

3x + 3x = 5x + 21

Simplify the left side.

6x = 5x + 21

Subtract 5x from both sides.

x = 21

Now, let's plug in 21 for x in AB

AB = 3x = 3(21) = 63

Answer:

c

Step-by-step explanation:

let x represent the equally priced bracelets of which there are 4 , so 4x

We know she spent $64 on rings and a total of $200 was spent , then

64 + 4x = 200 ← represents the situation

x represents the cost of a bracelet

Answer:

c

Step-by-step explanation:

the total amount paid at the jewelry is 200

64 was spent on rings

the rest amount of money was spent on 4 bracelets

let the price of one bracelet be x

200=4(x)+64

200=4x+64

Answer:

this question doesn`t have much information but here`s my best guess

(2x-y)^2

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.

1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.

2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."

So, combining the two steps, we have:

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.

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Answer:

875

Step-by-step explanation:

Answer:

According to my equation it's 20°