Answer:
0.4032
Step-by-step explanation:
The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To convert Fahrenheit temperature to Celsius temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.
Answer:
The antifreeze protects the car between -40°F and 257°F
Step-by-step explanation:
Inequalities
The range of Celsius temperatures the car's antifreeze protects the car is
[tex]-40 \le ^\circ C \le 125[/tex]
To convert °C to °F we use the formula:
[tex]\displaystyle ^\circ C=\frac{5}{9}(^\circ F-32)[/tex]
To find the equivalent range of temperatures in °F, substitute the formula:
[tex]\displaystyle -40 \le \frac{5}{9}(F-32) \le 125[/tex]
Multiply by 9, divide by 5:
[tex]\displaystyle -40*9/5 \le F-32 \le 125*9/5[/tex]
Operating:
[tex]\displaystyle -72 \le F-32 \le 225[/tex]
Adding 32:
[tex]\displaystyle -72+32 \le F \le 225+32[/tex]
Operating, we get the range of temperatures in °F:
[tex]\displaystyle -40 \le F \le 257[/tex]
The antifreeze protects the car between -40°F and 257°F
A football team lost 12 yards on the first play, gained 5 yards on the 2nd play and
lost 3 yards on the final play. What have they done in all?
Answer:
they have lost 10 yards
Step-by-step explanation:
12-5+3=10
Solve for x
-18x +21 > -15
OR
20x-13>27
Choose 1 answer:
Answer:
x<2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x < 2 the answer your welcome
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
Read related link on:
https://brainly.com/question/18874560
The Lakewood wildcats won 5 of their first 7 games this year.There are 28 games in the season.About how many games would you expect the Wildcats to win this season?
Answer:
7 equal to 5
1 equal to 5/7
28 equal to 5/7*28=20
Step-by-step explanation:
A function f(x)is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answer:
[tex]f(x)=2x+1[/tex]
Step-by-step explanation:
At x=0, the y is at 1
at x=1, y went up to 3
the change between 3 and 1 is 2 therefore the equation is
[tex]f(x)=2x+1[/tex]
I hope this helps you and good luck!
TIMED TEST WILL GIVE BRAINLIEST
During an algebra class, a teacher asks for examples of non-prime numbers. Jake says 51, Teresa says 41, and Liu says 21. Which student(s) are correct in their response?
Answer:
D. Jake and Liu
Step-by-step explanation:
41 is prime so Teresa is wrong. The other two are not prime.
fine the exact rationalized value of sin(25π/6)
why is math so hard these days?
Answer:
It's because someone added LETTERS to math.
Step-by-step explanation:
I know this because I'm suffering from this.
A brainliest for this doggo is a bone! This doggo would appreciate a bone!
M: Mental
A: Abuse
T: To
H: Humans
Answer:
Advancement in human mathematics
Step-by-step explanation:
how do you factor an expression using the gcf
Answer:
Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.
(a^2 - b^2)/(2 + d^3)
a stands for 6, b stands for 4, d stands for 1 over 2, i need explanation too
Answer:
Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]
Step-by-step explanation:
We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]
and values a=6, b=4 and d=1/2
We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result
Putting values in the equation:
[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]
So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]
Which expression is equivalent to 2(3x + 4)(x - 1)(x – 3)?
Answer:
Step-by-step explanation:
x/a + b = c solve for x
Answer:
x = a(c-b)
Step-by-step explanation:
x/a + b = c
-b -b
x/a = c - b
times a times a
x = a(c-b)
Answer:
The answer should be x=ac-bc.
Step-by-step explanation:
You should start with multiplying the both sides a+b. The left hand side of the equation will cancel out and we'll be left with, x. At the right hand side, we have c.(a+b), which is equal to ac+bc and this value is equal to x.
I thought that the question was [tex]\frac{x}{a+b}=c[/tex].
The correct solution is, may be because of the question's second look of mine is, x=a(c-b). You subtract b from the both sides, then you'll multiply both sides with a, and the answer will be x=ac-ab.
PLZZ HELP!
Enter the value for h for each of the functions below in the
table below. Sketch the functions on the graph on the
left. (f (x) = x2 is graphed for you in red.)
Function
h=
f(x) = (x-6)2
f(x) = (x+3)2
Johnny has 4 cups of hot cocoa the instructions tell him to add 1 pint of water for every 2 pints of cordial how much water should he add
Answer:
1 pint
Step-by-step explanation:
If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?
Answer:
Step-by-step explanation:
The average rate of change of a function over an interval is simply the slope over the interval because:
[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]
We have to know f(6) and f(-4)
[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]
Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
B. 8
C. 4
D. -4
Please help! Asap! (Photo). Help!!!
Answer:
1/3
Step-by-step explanation:
a scale factor is basically comparing the lengths/width of a figure. the top of the figures are 1 (smaller figure) and 3 (bigger figure). then compare that and you get 1/3.
Answer:
3
Step-by-step explanation:
Side lengths of ABC: 4, 1
Side lengths of A'B'C': 12,3
4×3 = 12
1×3 = 3
3 is the scale factor of triangle ABC to triangle A'B'C'
At a middle school, 3 out of every 4 students ride a bus to school. There are 600 students at the school. How many students ride a bus to school?
Answer:
450?
Step-by-step explanation:
Anyone please help me hurry ????
Answer:
No, She is not correct.
Step-by-step explanation:
A reflection across the Y axis changes the X value.
If you look at point B and point B prime, the coordinates dont change at all. Which makes this incorrect, I believe.
Find the airthmetic mean of prime numbers between 20 and 50
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Prime numbers between 20 and 50 are :
[tex]23 \: , \: 29 \: , \: 31 \: , \: 37 \: , \: 41 \: , \: 43 \: , \: 47[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Arithmetic mean is :
[tex] \frac{23 + 29 + 31 + 37 + 41 + 43 + 47}{7} = \frac{251}{7} = 35.857 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
23 , 29 , 31 , 37 , 41 , 43 , 47
REWRITE THE EQUATION{ TEN LESS THAN 3 TIMES A NUMBER IS THE SAME AS THE NUMBER PLUS 4
Can somebody please help me
Answer:
26/24
Step-by-step explanation:
you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24
Simplify the expression:
7p+6q-2p+q
Answer:
5p+7q
Step-by-step explanation:
Answer:
5p+7q
Step-by-step explanation:
You add common terms together.
(7p-2p)+(6q+q)
5p+7q
Hope I helped!
Does the equation: -x + 6y = -7 represent direct variation?
Answer:
The equation -x + 6y = -7 does not represent direct variation.
Step-by-step explanation:
The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m xLet us solve the question
∵ The equation is -x + 6y = -7
→ Substitute x by 0 to find the value of y-intercept
∵ x = 0
∴ 0 + 6y = -7
∴ 6y = -7
- Divide both sides by 6 to find y
∴ y = [tex]-\frac{7}{6}[/tex]
∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )
∵ The y-intercept of the direct variation is (0, 0)
∴ The equation -x + 6y = -7 does not represent direct variation.
Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?
Answer:
[tex]5\dfrac{1}{2}\ \text{kg}[/tex]
Step-by-step explanation:
Plant food used on strawberry plants is
[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]
Plant food used on tomato plants is
[tex]\dfrac{1}{4}\ \text{kg}[/tex]
Feeding the strawberry plants two times means
[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]
Feeding the tomato plants one more time means
[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]
The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]
6) Select the best method to solve the system.
5x-4y=7
4x-4y=12
*elimination
*substitution
Answer:
Elimination
x=-5 and y=-8
Step-by-step explanation:
-(5x-4y=7) <--- Multiply by a negative so that y can cancel out
4x-4y=12
=-5x+4y=-7
4x-4y=12
=-x=5
x=-5
5(-5)-4y=7 <--- plug x back in to solve for y
-25-4y=7
+25 +25
-4y/-4=32/-4
y=-8
Dan has £100. Colin takes £. How much is left
Answer:
Maybe 99£
Step-by-step explanation:
Please give me brainliest
Answer:
i think 99 because theres no number after the symbol
Step-by-step explanation:
prove that 1 + cos 2A / sin 2A=CotA
Answer:
I assume that there are parentheses missing from the question and that it should be
Prove that 1 + sin 2A + cos 2A ---------------------------------------------- = cot A
1+sin2A−cos 2A
Use sin 2 A= 2 sin A cos A and
cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1
-0.59x+0.39x=5.8 I need help
Answer: x = -29
Step-by-step explanation:
-0.59x+0.39x=5.8
Collect like terms
-0.2x = 5.8
Divide both sides of the equation by -0.2
x = -29
Response to user in comments:
-0.59+0.39=-0.2 that is a fact
-0.2/-0.2=1 that is a fact
5.8/-0.2= - 29 that is a fact
These are the facts about the steps of the equation. Solving Steps for Solving the Equation
