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3 years ago

One roll of masking tape costs $1.15. Max wants to buy as many masking tape he can with $5.75.

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

4 0

1.15x ≤ 5.75

Pretty sure that's the answer.

pochemuha3 years ago

3 0

Answer:

1.15 x≤ 5.75

He can buy up to 5 rolls.

Step-by-step explanation:

We know that the cost of one roll is 1.15

The cost of x rolls is 1.15x

He can spent up to 5.75

1.15 x≤ 5.75

Solving

1.15x/1.15 ≤ 5.75/1.15

x≤5

He can buy up to 5 rolls

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Solve for x<br> 1 7 1<br> 2<br> х<br> Your answer

ki77a [65]

Answer:

x = 4

Step-by-step explanation:

3x -5 = -2 + 9

-2 + 9 = 7 so now its 3x - 5 = 7

add 5 to the -5 so it cancels itself out. then add the 5 to 7 so it become 12. the you have 3x = 12

divide 12 ÷ 3 = 4

x = 4

8 0

2 years ago

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andre [41]

Answer:

360-(124+124)= 360-248=122 divided by 4=30.5

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3 years ago

Arnold wants to buy two bicycles. Which shop provides the lowest price on the bicycles?

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Bob's Bikes
260 × 0.2 = 52
260 - 52 = 208
208 × 2 = $416.00

Walt's Wheels
300 × 0.6 = 180
300 - 180 = 120
120 × 2 = $240.00

Carson's Cycles
310 × 0.1 = 31
310 - 31 = 279
279 × 2 = $558.00
(i can't read what it says for $50, comment below if it makes a difference, i'll edit)

Tino's Transportation
260 ÷ 2 = 130
260 + 130 = $390.00

B) Walt's Wheels provides the lowest price for two bicycles.

8 0

3 years ago

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

$\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}$

Thus,

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0

2 years ago

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 15 years, and standard deviation of 3

Gala2k [10]

Answer:

The probability that their mean life will be longer than 13 years = .9943 or 99.43%

Step-by-step explanation:

Given -

Mean $(\nu )$ = 15 years

Standard deviation $(\sigma )$ = 3.7 years

Sample size ( n ) =22

Let $\overline{X}$ be the mean life of manufacturing items

the probability that their mean life will be longer than 13 years =

$P(\overline{X}> 13)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{13 - 15 }{\frac{3.7}{\sqrt{22}}})$ $(Z =\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}})$

= $P(Z> -2.53)$

= $1 - P(Z < -2.53)$ Using Z table

= 1 - .0057

= .9943

7 0

3 years ago