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pashok25 [27]
3 years ago
11

Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many

solutions. Show your work AND explain your reasoning for each of your answers.
(a) Line a has a rate of change of 7.
Line b has a rate of change of -7


(b) 2x + 3y = 5.5
4x + 6y = 11
(c) These two graphed lines:

(d) Line c and line d are parallel.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
It has no solution bc there or no point and because its not the same line 
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You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What i
garik1379 [7]

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

3 0
3 years ago
ANSWER PLZ QUICK AND FAST
Sergio [31]

Jack had b boxes. Then he got 4 more. That is equal to:

b+4

On Wednesday, half the boxes were destroyed. To find half the amount, you can divide by 2, which is equal to:

\frac{b+4}{2}

Choice C matches the answer. Your answer is C

5 0
3 years ago
How to find the surface area
Stolb23 [73]

Answer:

158 in²

Step-by-step explanation:

<u>Surface area</u>

A = 2·(l·w + l·h + w·h)

= 2·(3in·8in + 8in·5in + 3in·5in)

= 2·(24in² + 40in² + 15in²)

= 2·(79in²)

= 158 in²

al3xis

8 0
3 years ago
A borrower had a loan of $ 60 comma 000.00 at 4 % compounded annually comma with 8 annual payments. Suppose the borrower paid of
quester [9]

Answer:

The amount needed to pay off the loan after 4 years is $70,192

Step-by-step explanation:

When interest is compounded annually, total amount A after t years is given by:

A = P(1 + r)^{t}

where P is the initial amount (principal), r is the rate and t is time in years.

From the question:

P = $60,000

r = 4% = 0.04

t = 4

A = 60000(1 + 0.04)^{4} \\A = 60000(1.04)^{4}\\A = 60000 * 1.16985856\\A = 70191.5136\\A = 70192

The amount needed to pay off the loan after 4 years is $70,192

If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.

7 0
3 years ago
Evaluate the following using<br> powers of ten rules.<br> 104)1.042
Alinara [238K]

Answer:

0.0001042

Step-by-step explanation:

Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.

10⁴) 1.042 = \frac{1.042}{10^4}

In the denominator of the given fraction, exponent of 10 = +4

So the decimal in numerator will be shifted left by 4 places.

\frac{1.042}{10^4}=0.0001042

Therefore, answer is 0.0001042

5 0
2 years ago
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