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3 years ago

The sum of two numbers is 17 The difference of those same two numbers is 3

Mathematics

2 answers:

taurus [48]3 years ago

8 0

The two numbers are 10 and 7.

10+7=17 and 10-7=3

ser-zykov [4K]3 years ago

8 0

Answer:

10 and 7

Step-by-step explanation:

Let unknown numbers be x and y

x + y = 10.... (1)

x - y = 3....... (2)

This leads to simultaneous linear equations

We shall solve the equation by substitution method

From equation (1), we shall make x subject of formula to form a new equation (3)

x + y = 17

x = 17 - y ..... (3)

Now we substitute the value of x = 17 - y into equation (2)

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = 3 - 17

-2y = -14

y = 7

Now we substitute this new value of y = 7 into equation (1)

x + y = 17..... (1)

x + 7 = 17

x = 17 - 7

x = 10

Therefore the two numbers are 7 and 10

7 + 10 = 17

10 - 7 = 3

x + 7

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A trucking firm has a large inventory of spare parts that have been in storage for a long time. It knowsthat some proportion of

Debora [2.8K]

Answer:

$0.1546\leq \widehat{p}\leq 0.3513$

Step-by-step explanation:

The firm tests 75 parts, and finds that 0.25 of them are notusable

n = 75

x = 0.25 \times 75 = 18.75≈19

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{19}{75}$

$\widehat{p}=0.253$

Confidence level = 95%

So, Z_\alpha at 95% = 1.96

Formula of confidence interval of one sample proportion:

$=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}$

$=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}$

Confidence interval $=0.1546\leq \widehat{p}\leq 0.3513$

7 0

3 years ago

Robert bought X pounds of potatoes for $1.99 per pound. He paid for the potatoes with a $10 bill. Which of the following variabl

LUCKY_DIMON [66]

First, we have to figure out the expression for the total price of potatoes. We find that by multiplying the price of potatoes per pound by how many pounds were bought. Robert bought x pounds of potatoes at $1.99 per pound. This can be written as:

$1.99x

Next, we have to find the equation for Robert's change. Change is defined as amount paid minus cost. In this scenario, Robert paid $10, and we already know the cost is $1.99x. So using this information, we can now write the equation:

$10 - $1.99x

So the answer is a.

8 0

3 years ago

If h(x) = 2x4 - 4x2 - 2x, then h(3)=

Kruka [31]

Answer:

h(3)=-6

Step-by-step explanation:

sub 3 into all the positions which variable X is present

$h(3) =( 2 \times 4) - (4 \times 2) - 2(3)$

$h(3) = 8 - 8 - 6$

$h(3) = - 6$

6 0

3 years ago

Read 2 more answers

Please help thank you

nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

$(x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20$

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract $x^2(x-2)$ from the original expression, leaving you with $9x^2+2x-40$ .

Next, subtract $9x(x-2)$ from the expression, leaving you with $20x-40$ . Finally, subtract $20(x-2)$ from the expression, leaving you with a remainder of 0. This means that the real quotient is $x^2+9x+20$ . Hope this helps!