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kykrilka [37]
3 years ago
9

What is 12.3 + 4.7 estimate sum and difference

Mathematics
2 answers:
AlexFokin [52]3 years ago
5 0

Answer:

Sum- 17 Difference- 7.6

Papessa [141]3 years ago
4 0

Answer:

To find the estimated sum, round the 2 integers to the nearest whole number.

12.3----->12

4.7------->5

we round 12.3 to 12 because whenever we're asked to round a number, we always look to the digit to the right of the number, if the digit on the right is greater than or equal to 5, we round up if it's less that 5, we round down.

12+5=17

12.3-4.7

we already rounded 12.3 to 12 and 4.7 to 5 so now

12-5=7

Hope this helps

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A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
2 years ago
What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?
Law Incorporation [45]
M=4

(-1, -3)
x1, y1

just plug the rest in

4 0
3 years ago
Read 2 more answers
The volume of a cube is 216mm3.What is the length of its side?
Studentka2010 [4]
Steps:
216 mm3 is the volume.

Given the volume, you can take the cube root of the volume to find the side.
The cube root of 216 is 6.

Answer: 6
8 0
2 years ago
Solve the equation for x.<br> 15 = -2x + 3
bekas [8.4K]

Answer:

<h2>x = -6</h2>

Step-by-step explanation:

-2x+3=15\qquad\text{subtract 3 from both sides}\\\\-2x+3-3=15-3\\\\-2x=12\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{2}=\dfrac{12}{-2}\\\\x=-6

6 0
3 years ago
Read 2 more answers
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
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