The relationship between temperature and the number of chirps based on the information given goes thus :
150 chips 64°F[tex] f - 40 = \frac{x}{3}[/tex]Let :
Temperature = f ; number of cricket chirps = n[tex] f - 40 = \frac{n}{3}[/tex]1.) Chirps per minute if temperature is 90°F
Put f = 40°F into the equation :
[tex] 90 - 40 = \frac{n}{3}[/tex]
[tex] 50 = \frac{n}{3}[/tex]
[tex] n = 50 \times 3 = 150 chirps [/tex]
2.) Fahrenheit temperature if n = 72
[tex] f - 40 = \frac{72}{3}[/tex]
Cross multiply
[tex] 3(f - 40) = 72[/tex]
[tex] 3f - 120 = 72[/tex]
[tex] 3f = 72 + 120 [/tex]
[tex] 3f = 192[/tex]
[tex] f = \frac{192}{3} = 64 [/tex]
3.)
The equation for the relationship with f = Fahrenheit temperature and x = number of chirps
[tex] f - 40 = \frac{x}{3}[/tex]
Learn more :https://brainly.com/question/25197276
2. Danielle has read 240 pages in her book in 3 hours. Nicole has read 180 pages in 75 minutes.
Who reads faster in pages per minute
Answer:
Nicole
Step-by-step explanation:
Danielle reads four pages per min, Nicole reads 2.7 pages per min.
Evaluate the exponent expression for a = 1 and b = -2
A) -2
B)-1/16
C)-2/5
D)1/16
Answer:
D) 1/16
Step-by-step explanation:
use brackets
follow bedmas rule
B - brackets
E - exponent
D - division
M - multiplication
A - addition
S - subtraction
working is shown in the diagram.
What are some decimals for - 9/4 other than -2.25
Answer:
0.444444
How's that?
A laptop has a listed price of $549.98 before tax. If the sales tax rate 9.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary
Answer:$602.23
Step-by-step explanation:
549.98*9.5(.095)=52.248>round nearest cent =52.25
549.98+52.25(tax)= $602.23
what would be the first step to solve for n in the equation 3n-7=30?
Answer:
n = 37/3
Step-by-step explanation:
3n = 30 +7
3n = 37
n = 37/3
w(x) = x2 + 2 x divided by X - 1
Answer:
[tex]x+1+\frac{1}{x-1}[/tex]
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 - 2x2 + 2x - 1
Simplify —————————————————
x - 1
Checking for a perfect cube :
2.1 x3 - 2x2 + 2x - 1 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 - 2x2 + 2x - 1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2x - 1
Group 2: -2x2 + x3
Pull out from each group separately :
Group 1: (2x - 1) • (1)
Group 2: (x - 2) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 - 2x2 + 2x - 1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -1.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -6.00
1 1 1.00 0.00 x - 1
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 - 2x2 + 2x - 1
can be divided with x - 1
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 - 2x2 + 2x - 1
("Dividend")
By : x - 1 ("Divisor")
dividend x3 - 2x2 + 2x - 1
- divisor * x2 x3 - x2
remainder - x2 + 2x - 1
- divisor * -x1 - x2 + x
remainder x - 1
- divisor * x0 x - 1
remainder 0
Quotient : x2-x+1 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x+1
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 1 • 1 = 1
Step-2 : Find two factors of 1 whose sum equals the coefficient of the middle term, which is -1 .
-1 + -1 = -2
1 + 1 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x-1) which appears on both sides of the fraction line.
Final result :
x2 - x + 1
When f ( x ) = x 2 + 4 x + 2 , evaluate f ( − 4 )
Answer:
-22
Step-by-step explanation:
solve this equation by plugging -4 into x in the equation.
your new equation will look like
f(-4) = (-4)2 + 4(-4) + 2
solve the right side of the equation to get your answer of -22
The perimeter of a rectangle is 48 inches. If the length is 2 more than the width, what is the length and width?
Only an algebraic solution is accepted
Answers:
Length = 13 inches
Width = 11 inches
=====================================================
Work Shown:
w = width, some positive number
w+2 = length, since it is 2 inches more than the width
P = perimeter of the rectangle
P = 2(width + length)
P = 2(w + w+2)
P = 2(2w+2)
P = 4w+4
We're told that the perimeter is 48 inches. So we'll set the previous result equal to 48 and solve for w.
P = 48
4w+4 = 48
4w = 48-4
4w = 44
w = 44/4
w = 11
The width is 11 inches.
w+2 = 11+2 = 13
The length is 13 inches.
----------------
Checking the answers:
P = 2(L+W)
P = 2(13+11)
P = 2(24)
P = 48
The answers are confirmed.
10 points right now for right answer
Your answer is 200
Hope it helps:)
Answer:
D
Step-by-step explanation:
y = 15 so 2/3 times 15 equals 30/3, which equals to 10
so far, you have 1/5 - 10 = 30
10 plus 30 equals to 40 so basically you have to find what times 1/5 equals to 40
200 times 1/5 is 40
sorry if this is too hard to understand but I tried my best to make it sound easy
Simplify and express the answer in scientific notation
Answer:
2.19 *10^7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
2.19 *10^7
If measure of angle 9=97 and measure of angle 12=114 find each measure
solve pls brainliest
Step-by-step explanation:
-35+13=-22
61-(-17)==78
what is the opposite of 4/7
Answer:
7/4?? I didn't understand the question.
Select three ratios that are equivalent to 11:1
choose 3 answers
(Choice A)
1:11
(Choice B)
22:2
(Choice C)
55:5
(Choice D)
9:99
(Choice E)
110:10
Answer:
B, C, E
Step-by-step explanation:
22:2 is the same as 11:1
as for the others
A isotope has a Half life of 1000 years. If you start with 1 kilogram of this isotope how much will remain after 400 years? 4000 years?
Answer:If you begin with a 1 gram sample of the isotope, at the end of 1000 years you would have. 1 gram x (12) = 12 gram would remain.
Step-by-step explanation:
Please help with question 19, i am not sure.
Answer:
The answer is the first one "put the compass point at A and set the width to be the length of line segment AB."
Step-by-step explanation:
They have to be equal, so you'll put the compass at point A and set it to be the length of AB, then you will put compass at point C, draw an arc that intersects the line, and label the point of intersection as "B"
Solve for x
1.) 15.8
2.) 18.2
3.) 48
4.) 17.6
Answer:
90+5x+7x+3x+6=360
15x=354-90
15x=264
x=17.6
Hello!!! what is 365 - 287?
FIRST TO ANSWER GETS BRAINLIEST!!!
NO LINKS PRETTY PRETTY PLEASE!!
THANKS!!
Answer
78
Step-by-step explanation:
365- 287 is 78
Add the linear expressions.
(−2x+6−x)+(6x−2)
What is the sum?
Enter your answer in the box.
PLZ HELP!!
Answer:
3x+4 I think
Step-by-step explanation:
mathaway minus the second a
Answer:
3x+4
Step-by-step explanation:
k12 test
hey help me thank you.?
7/9 < 5/6
We find the LCM of 9 and 6 which is 18.
For the first fraction, 6 multiplied by 3 is 18 so we multiply both the numerator and denominator by 3 to get:
5/6 = 5*3/6*3 = 15/18
For the second fraction, 9 multiplied by 2 is 18 so we multiply both the numerator and denominator by 2 to get:
7/9 = 7*2/9*2 = 14/18
We can see that 5/6 is greater than 7/9.
what is this please help
Answer:
Absolute value means how far are you from zero on the number line.
absolute value of | -18| for example is 18
this means that you are at -18 on the number line that is 18 points away from zero.
and absolute value of |18 | is 18
this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.
Step-by-step explanation:
Can you answer this
Answer:
6[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
First, we can start by figuring out how many nails can be produced by 1 machine in 15 minutes. Since 3 machines can produce 16 [tex]\frac{1}{5}[/tex] nails per 15 minutes, we can figure this out by dividing the number of nails produced by 3.
16 [tex]\frac{1}{5}[/tex] divided by 3 equals [tex]\frac{81}{48}[/tex] which can be simplified to 1 [tex]\frac{11}{16}[/tex]. This means that in 15 minutes, one machine can produce 1 [tex]\frac{11}{16}[/tex] nails. Since 15 minutes is 1/4 of an hour, we multiply the nails and minutes by 4, and 1[tex]\frac{11}{16}[/tex] times 4 equals 6[tex]\frac{3}{4}[/tex]. Therefore, 1 machine can produce 6[tex]\frac{3}{4}[/tex] nails in one hour.
Can u answer this question
Answer:
I agree with orignial
Step-by-step explanation:
1/4+1/4=1/2
(2a squared+13a-24)÷(a+8)
Answer:
2a-3
Step-by-step explanation:
Answer
(2a²+13a-2 4):(a+8)=[tex]\frac{2a^{2}+13a-24 }{a+8}[/tex]=[tex]\frac{(a+8)(2a-3)}{a+8}[/tex]=2a-3Step-by-step explanation:
Write an equation in slope intercept form for the line with slope - 3/4 and y-intercept -2. Then graph the line.
Answer:
y = (-3/4)x - 2
Step-by-step explanation:
Start with the slope-intercept form y = mx + b. Replace m with -3/4 and y with -2. We then have y = (-3/4)x - 2.
Graphing this line: Knowing that b = -2, plot the point (0, -2). Find the x-intercept by letting y = 0 in the above equation and solving for x:
0 = (-3/4)x - 2, or (3/4)x = -2, or x = (4/3)(-2), or x = -8/3. Plot this x-intercept (-8/3, 0). Finally, draw a line through the points (0, -2) and (-8/3, 0).
pls help me asap!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
HELP NOW I NEED ANSWERS PLEASE 99 POINTS AREE GIVEN!!!
Nathan loved learning about earthquakes in science class. He told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10^-6 centimeters per minute. What would be the most appropriate unit for Nathan to use instead of centimeters per minute?
Answer:
If you use millimeters per minute, it would be easier.
Step-by-step explanation:
2.93 x 1.5 with work explained
Answer:
4.395
do 293x15 then after you get that answer move the decimal 3 places to the left
Step-by-step explanation:
what is the tense of she has no choice? Is it present perfect?
Step-by-step explanation:
present......................
A family have 4 children. The probability of having at least one girl is 1/16.
Answer:
There’s a 50% chance that any given child is a girl, so take .5 to the 4th power and subtract it from 1, which gives you a 93.75% chance that at least one child is a girl.
Step-by-step explanation:
I don't know if it's correct,
so hope it helps