All categories

2 years ago

Represent 56 ÷ 8 = 7 using subtraction. Explain your reasoning.

Mathematics

1 answer:

katrin2010 [14]2 years ago

6 0

Answer:

$56\div 8=7$

Step-by-step explanation:

The relationship of division and subtraction:

If $a\div b=c$ then $a-bc=0$ (Definition 1)

The given equation is

$56\div 8=7$

We need to prove this by subtraction.

Let $56\div 8=x$

Here, a= 56 is dividend, b=8 is divisor and c=7 is quotient.

$56-8=48$ (1st time)

$48-8=40$ (2nd time)

$40-8=32$ (3rd time)

$32-8=24$ (4th time)

$24-8=16$ (5th time)

$16-8=8$ (6th time)

$8-8=0$ (7th time)

It means we need to subtract 8 (total 7 times) from 56 to get 0.

$56-8\times 7=0$

Using definition (1) , we get

$56\div 8=7$

Hence proved.

You might be interested in

A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored

pickupchik [31]

Answer:

We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

Step-by-step explanation:

The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:

Number sampled: 1,000 (republican) , 800 (democrats)

Number in favor: 200 (republican) , 168 (democrats)

At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.

Let $p_1$ = proportion of Republicans in favor of lowering the standards.

$p_2$ = proportion of Democrats in favor of lowering the standards.

SO, Null Hypothesis, $H_0$ : $p_1 \geq p_2$ {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}

Alternate Hypothesis, $H_A$ : $p_1 < p_2$ {means that there is a larger proportion of Democrats in favor of lowering the standards}

The test statistics that would be used here Two-sample z-test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of Republicans in favor of lowering the standards = $\frac{200}{1000}$ = 0.20

$\hat p_2$ = sample proportion of Democrats in favor of lowering the standards = $\frac{168}{800}$ = 0.21

$n_1$ = sample of Republicans = 1000

$n_2$ = sample of Democrats = 800

So, the test statistics = $\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }$

= -0.52

The value of z test statistics is -0.52.

Now, P-value of the test statistics is given by the following formula;

P-value = P(Z < -0.52) = 1 - P(Z $\leq$ 0.52)

= 1 - 0.6985 = 0.3015

Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

7 0

2 years ago

Which is a zero of the quadratic function f(x)9x^2-54x-19

zvonat [6]

Answer:

X= -1/3, X= 19/3

Step-by-step explanation:

3 0

2 years ago

Corey bought 2 1/2 liters of paint for $60. What was the cost per liter of paint

goldfiish [28.3K]

Hello there!

Answer:

$24

Step-by-step explanation:

In order to find the answer to your problem, we're going to need to find out how much ONE liter of paint costs.

Lets gather the information of what we know:

2 1/2 liters of paint

↑ Cost $60.

With the information we know, we can solve to find the answer.

In order to get the answer, we would need to divide 60 by 2 1/2 (or 2.5). We would need to do this because when we divide it, it would allow us to get the cost for 1 liter.

Lets solve:

$60 \div 2.5=24$

When you divide, you should get the answer of 24.

This means that one liter of paint cost $24.

$24 should be your FINAL answer.

6 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

CaHeK987 [17]

Answer: b) 58%

Step-by-step explanation:

First, let's find the z-score using the formula: $z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{260-240}{100}=\dfrac{20}{100}=\boxed{0.20}$

Next, refer to the z-score table below to find the value of 0.20

Look on the left side for 0.20 and the top for 0.00 to find the percent for 0.20. The table shows the percent above the MEAN so you need to add the percent below the mean (50%) to the value in the table.

0.0793

+ 0.5

0.5793 = 57.93%

3 0

2 years ago

What is 2 hundreds + 15 tens + 6 ones

qwelly [4]

Two one hundred is 200.
15 tens is 150.
Six ones is the same.
$200 + 150 + 6 = 456$

5 0

2 years ago

Read 2 more answers