One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t? A. 27°F B. 3°F C. -3°F D. -27°F
5c-15 factor out the coefficient of the variable
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).
Explanation: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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find the equation of the line that contains the point (-1,-11) and is parallel to the line 7x+3y=10
how to express 1/243 using a negative exponent other than -1
The exponent of 1/243 is [tex]3^{-5}[/tex].
What is a exponent and power.
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
There are 35 more musicians in the String section of a city Symphony Orchestra than in its Brass section. There are 29 musicians in the Brass section. 1. How many musicians in all are in the String and Brass sections of the Symphony Orchestra?
The winner in a vote for class president received 3/4 of the 240 votes. How many votes did the winner receive?
if five is subtracted from three times a certain number,the result is 10.what is the number?
Given a right triangle, find the degree measure of the angles if one angle is ten degrees more than four times the degree measure of the other angle and the third angle is the right angle.
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
What is 0.6 equal to as a fraction
Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction . Notice however that is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
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You are going on a road trip over a distance of 3000 kilometers with three friends. The car consumes 6 liters of gas per 100 kilometers and gas costs $1.20,per liter.
Identify the coefficient of the term -2mnp.
A. 2
B. -2
C. m
D. mnp
I think it is -2 but need a second opinion
Answer:
b -2
Step-by-step explanation:
The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.
The given term is -2mnp.
What is the coefficient of the term?A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables.
A coefficient is the numerical factor.
Now, the coefficient of the term -2mnp is -2.
The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.
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there are more cups in 5 gallons than in 22 quarts true or false
A pair of parallel lines is cut by a transversal as shown below which of the following best represents the relationship between angles p and q
got it wrong plss help and explain
Please explain how to do this
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
Pam draws a color pencil from the box randomly without looking. What is the probability that Pam will select a yellow pencil and the coin will land tails up?
2 over 40
6 over 40
12 over 20
16 over 20
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.
What is probability?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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Which expression is equivalent to −4.5+(−5.5)+(−3.1) ?
1. (4.5+5.5)+(−3.1)
2. −4.5+(5.5+3.1)
3. −(4.5+5.5+3.1)
4. −4.5−(5.5−3.1)
Answer:
i think the answer is also A
Step-by-step explanation:
Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f ∥ g?
abcd
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.
HELP ME. I AM SOOO STUCK AND I DON'T WANT TO FAIL
Stefanie is painting her bedroom. She can paint square feet in of an hour. How many square feet can she paint in one hour?
PLEASE HELP I WILL GIVE 50 POINTS
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = ___ ´ (4 + 9)
4
8
12
13
convert 2.5 to a fraction in simplest form
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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Haily paid $13 for 1 and 3/7kg of sliced salami .what was the cost per kilogram of salami
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:
Convert the mixed number to an improper fraction: 1 and 3/7 = 10/7 kg.Divide the total cost by the total weight: $13 ÷ (10/7) kg.Perform the division by multiplying by the reciprocal: $13 × 7/10 = $9.10.The cost per kilogram of salami is $9.10.
Pre-Cal Help!! (Image Attached)
Which is bigger 7/8 or 0.78
use rounding to estimate 10 4/5 + 8 9/10
A. 19 1/2
B. 20
C. 18
D. 19
What Is the y-intercept of f(x)=((1/4))^x
Answer:
(0,1)
Step-by-step explanation:
How many times smaller is 3 × 10-7 than 6 × 10-6?
Bernard and Adriana grew sunflowers in their backyard. Bernard's sunflower grew 4.23 centimeters in one week and 8.91 centimeters the second week. Adriana's sunflower grew 15.12 centimeters in two weeks. Over two weeks, how much more did Adriana's sunflower grow than Bernard's?
Answer:
1.98 centimeter
Step-by-step explanation:
Hope this will help
What is the value of x in the equation 2x+3y=36 when y = 6