Jeannine runs for 45 minutes every day for exercise. It takes her 8 minutes to run a mile, and she spends 5 minutes stretching halfway through the run. If x represents the number of miles she runs, then 8x + 5 ≤ 45 represents the time she runs each day. What is the fewest number of miles Jeannine must run to complete her daily exercise?

Given that the package contains 5 pairs of gloves

Let us first establish some facts

Now let us solve for the cost of a glove

if 10 gloves cost 29.45

the 1 glove  will cost x

Cross multiply to solve for x

10*x = 1*29.45

divide both sides by 10

x = 29.45/10

x= 2.945

Hence the cost of a single glove is 2.945

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a right angle is 90 degrees

 the other 2 angles must equal 180-90 = 90 degrees

1st angle = x

 2nd angle = 4x+10

 add them together:

 x + 4x +10 = 90

 combine like terms:

5x +10 = 90

subtract 10 from each side:

5x =80

divide both sides by 5:

x = 80 /5 = 16

 1st angle = 16 degrees

 2nd angle = 4(16) +10 = 64 +10 = 74 degrees

Answer:

136

Step-by-step explanation:

did the interim (usatestprep)

Answer:

6 over 40

Step-by-step explanation:

6/40 or 3/20  is the probability that Pam will select a yellow pencil and the coin will land tails up.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given that,  The table below shows the number of pencils of different colors in a box:

Color of Pencil        Number

Purple                         10

Blue                             1

Yellow                         6

Pink                             3

From the general formula of probability:

Probability = (desired outcome)/ (Total outcome)

In our case

Total outcomes = (number of pencils) * (coin sides)

Total outcomes = 20 * 2

Total outcomes = 40

Desired outcomes = Pam will select a yellow pencil and the coin will land tails up

Desired outcome = (number of yellow pencils) * (coin sides)

Desired outcome = 6 * 1 = 6

Thus,

Probability = 6/40

therefore, the probability that Pam will select a yellow pencil and the coin will land tails up is 6/40 or 3/20.

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Answer:

2

Step-by-step explanation:

we know that

If lines f and g are parallel

then

the angle c must be equal to

∠c=[tex]75\°[/tex] ------> by alternate exterior angles

and

∠c+∠d=[tex]180\°[/tex] ------> by supplementary angles

so

∠d=[tex]105\°[/tex]

therefore

the answer is

The angle d should be equal to [tex]105\°[/tex] to prove that f ∥ g

your answer is d on edge.

The exponent of 1/243  is [tex]3^{-5}[/tex].

Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire expression 34 has power. Here, you can also learn about exponent laws. Power is essentially an expression that displays the same number or factor being multiplied repeatedly.

Given that,

[tex]\frac{1}{243}[/tex] , taking the prime factorization of 243

[tex]\frac{1}{243}[/tex]     = [tex]\frac{1}{3.3.3.3.3}[/tex]

         = [tex]\frac{1}{3^{5} }[/tex]

Write the power in negative form

[tex]\frac{1}{243}[/tex]     = [tex]3^{-5}[/tex]

Hence, The exponent of 1/243  is [tex]3^{-5}[/tex].

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To express 1/243 with a negative exponent other than -1, write it as 3^-5 since 243 is 3 raised to the power of 5

To express the fraction 1/243 using a negative exponent, first recognize that 243 can be written as 3^5, since 3 × 3 × 3 × 3 × 3 equals 243. Therefore, 1/243 is the same as 1/(3^5). By the rules of exponents, this can be written with a negative exponent as 3^-5. Hence, 1/243 expressed using a negative exponent other than -1 is 3^-5

Answer:

i think the answer is also A

Step-by-step explanation:

To factor out the coefficient of the variable from 5c - 15, divide both terms by the coefficient which is 5, yielding the factored form: 5(c - 3).

The expression 5c - 15 involves multiplication by the coefficient of the variable c and subtraction of 15. To factor out the coefficient of the variable here, we're looking to take out a common factor from both 5c and -15. The coefficient of the variable c is 5, which is also a factor of -15.

So, to factor out the coefficient of the variable (which is 5) we divide both terms by 5, which gives us: 5(c - 3). Here, 5 is factored out and (c - 3) is what remains.

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2.5 in fraction form is 25/10 .

2.5 in simplest form = 5/2 .

Given, Number = 2.5

Now , firstly convert 2.5 in fraction form.

2.5 = 25/10

GCF of 25 and 10 = 5

Divide 25 and 10 by 5

= 5/2

Hence the fraction in simplest form is 5/2 as it can not be further simplified .

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Answer:

(0,1)

Step-by-step explanation:

Answer:

B.$5.25

Explanation:

There were 2 tickets to the Ferris wheel; each is $5.  This can be written as 2(5).

Ella got a snow cone, which cost $3.50.  This gives us 2(5) + 3.50.

Margaret got a cotton candy, the cost being unknown; this gives us 2(5)+3.50+x.

Ella had a certificate for $6 off the cost; this gives us 2(5)+3.50+x-6.

This makes the equation

2(5)+3.50+x-6=12.75

Combining like terms, we have

7.50+x = 12.75

Subtract 7.50 from each side:

7.50+x-7.50 = 12.75 - 7.50

x = 5.25

The cost per kilogram is $9.10.

Haily paid $13 for 1 and 3/7 kg of sliced salami. To find the cost per kilogram of salami, follow these steps:

The cost per kilogram of salami is $9.10.