Answer:
The temperature of both appliances is 70° after 6 hours.
At 6 hours, both temperatures will be equal
Step-by-step explanation:
Equations
Let's call
T1 = Temperature inside of the refrigerator
T2 = Temperature inside of the oven.
x = Time in hours elapsed since the power goes out.
We know the temperature of the refrigerator rises at 5° per hour. Thus the function that models its temperature is:
T1 = 40 + 5x
We are also given the oven temperature drops by 45° per hour, thus:
T2 = 340 - 45x
a) Find the value of x for both temperatures to be the same.
We equal T1 and T2:
40 + 5x = 340 - 45x
Adding 45x
40 + 5x + 45x = 340
Subtracting 40:
5x + 45x = 340 - 40
Operating:
50x = 300
x = 300/50
x = 6
At 6 hours, both temperatures will be equal
b)
The common temperature can be found by substituting x in any function:
T1 = 40 + 5x = 40 + 5(6) = 40 + 30 = 70
T2 = 340 - 45x = 340 - 45(6) = 70
The temperature of both appliances is 70° after 6 hours.
Translate the sentence into an equation
The sum of 4 times a number and 6 is 5
Use b as the unknown number
Thank you!!
when given an equation were is m located dealing with slope
Answer: M is attached to x
Step-by-step explanation:
The equation in standard form is y = mx +b
m is attached and is modifying the value of x
Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Write an equation to represent this situation.
Answer:
joe 20+ 4x
callie 14x
Step-by-step explanation:
0.4(5x-15)=2.5(x+3) is this a infinite solution or one solution or no solution
Answer:
One solution
Step-by-step explanation:
The slope and y-intercept is different on both sides
The given equation has one solution which is the variable x = -27.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.
The equation is given in the question,
0.4(5x – 15) = 2.5(x+3)
Multiply both sides by 10
0.4(5x – 15) × 10=25(x+3) × 10
Refine
4(5x–15) =2.5(x+3)
Expand 4(5x-15): 20x-60
Expand 25(x+3): 25x+75
20x-60 = 25x+75
Add 60 to both sides
20x-60+60 = 25x+75 +60
Simplify the above equation,
20x=25x+135
Subtract 25x from both sides
20x-25x = 25x+135-25x
-5x = -135
Divide both sides by -5
-5x / -5 = -135/5
x = -27
Therefore, the given equation has one solution which is the variable x = -27.
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yvonne began making beaded jewelry at home. After 2 months of advertising, costumes began to buy her jewelry. The graph shows the number of sales she made in the first 6 months.
Based on the graph, which stament is true
Answer:
i need the graph
Step-by-step explanation:
graph?
Uhhh help please i cant do this rn im stuck
Answer:
i think its -2/1
slope= rise/run
(92)4 in scientific notation BIG POINTS I HAVE UNTIL MIDNIGHT PLS HELP
A.) 9^8
B.) 9^7
C.) 9^6
Answer:
A. 9^8
Step-by-step explanation:
multiply the exponents
i need help-.. like fast please
Solve the following compound inequality.
A.
B.
C.
D.
Answer:
c is the answer
Step-by-step explanation:
5x+7 ≤ -3
-7
5x ≤ -10
/5
x ≤ -2
Answer:
C
Step-by-step explanation:
We have the compound inequality:
[tex]5x+7\leq-3\text{ or } 3x-4\geq11[/tex]
We will solve each inequality individually and then combine them at the end.
For the first inequality, we have:
[tex]5x+7\leq-3[/tex]
Subtract 7 from both sides:
[tex]5x\leq-10[/tex]
Divide both sides by 5:
[tex]x\leq-2[/tex]
For the second inequality, we have:
[tex]3x-4\geq11[/tex]
Add 4 to both sides:
[tex]3x\geq15[/tex]
Divide both sides by 3:
[tex]x\geq5[/tex]
Since our original inequality was an “OR,” our solution set is also an “OR.”
Hence, our solution is:
[tex]x\leq-2\text{ or } x\geq5[/tex]
Thus, our answer is C.
Juanita will work for 4 7/8 hours at her job on Saturday. if she also volunteers for 2 1/3 hours at the hospital, how many hours will she be working and volunteering on Saturday?
A. 2 1/3 hours
B. 6 13/24 hours
C. 4 7/8 hours
D. 7 5/24 hours
Answer:
I think it's D...maybe
Step-by-step explanation:
Which ordered pair is a solution of the equation?
Answer:
D, neither
Step-by-step explanation:
If you want to solve this through elimination, just substitute the given points in each choice. (a,b) → (x,y)
In a coordinate the first number is the x value, and the second is the y.
All you have to do is substitute the indicated values given in the coordinate into the point slope equation, and determine whether or not the equation is true. If the equation is true (for example 1 = 1) the order pair IS a solution. If the equation is false (for example 1 = 2), than the ordered pair IS NOT a solution.
If you want to look at this linear equation solving for the quantity y, then use slope intercept.
Choice 1 is incorrect because (5,4) →
y - 4 = 7(x - 6) → (4) - 4 = 7((5) - 6) →
0 = 7(-1) → 0 = -7 (0 is never equal to -7) ; contradictory
Choice 2 is incorrect because (6,5) →
y - 4 = 7(x - 6) → (5) - 4 = 7((6) - 6) →
1 = 7(0) → 1 = 0 (1 is never equal to 0) ; contradictory
Therefore Choice 3 must be incorrect as well because neither of these two pairs are solutions, so combining two pairs that do not satisfy the equation does not make it any more true.
Since Choice 4 is the remaining choice, it must be the correct answer.
The points that fit on this line are given by the slope intercept equation: y = 7x - 3.
To convert point slope form to slope intercept form, first distribute everything in the parenthesis. Then remove all the terms besides y from the left side of the equation to the right:
y - 4 = 7(x - 6) → y - 4 = 7(x) + 7(-6) →
y - 4 = 7x - 42 → y - 4 + 4 = 7x - 42 + 4 →
y = 7x - 38.
Just substitute the x or y value into the equation, and find the corresponding y or x variable that fits the line.
Write a linear function f with f(2)=−2 and f(1)=1.
Answer - the answer should be: -3x+4
down below is how i did it,
Step-by-step explanation:
use the formula mx+b=y
y is f(x)
m = -3
x = x
b = 4
so,
mx+b is -3x+4
A linear function is the function of a straight line.
The linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]
The given parameters are:
[tex]\mathbf{f(2) =-2}[/tex]
[tex]\mathbf{f(1) =1}[/tex]
Calculate the slope (m)
[tex]\mathbf{m = \frac{f(b) - f(a)}{b -a}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{-2-1}{2 -1}}[/tex]
[tex]\mathbf{m = \frac{-3}{1}}[/tex]
[tex]\mathbf{m = -3}[/tex]
The linear function is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = -3(x - 1) + 1}[/tex]
[tex]\mathbf{y = -3x + 3 + 1}[/tex]
[tex]\mathbf{y = -3x + 4}[/tex]
Rewrite as:
[tex]\mathbf{f(x) = -3x + 4}[/tex]
Hence, the linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]
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If ABC is the original and DEF is the image, what is the scale factor of this dilation ?
Answer:
The scale factor of this is 2
Step-by-step explanation:
What is the m for this slope?
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.
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Answer:
y = 21/17
Step-by-step explanation:
Can I have brainliest pls?
Matt swam 225 yards in 5 minutes. If Matt swam at a constant rate, how fast did he swim in yards per minute?
-1,125 yd./min
-220 yd./min
-45 yd./min
-5 yd./min
Please answer fast!
In the figure below, m || n and p II q. Find the values of y and x.
Answer:
x= 33
y= 106
Step-by-step explanation:
4x-58=74
+58 +58
4x=132
4x/4=132/4
x=33
If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
It is known that the If two parallel lines intersect another two parallel lines then all corresponding angles will be the same.
Therefore, 74 = 4x - 58
4x = 132
x = 33.
Since 74° and the adjacent angle of y° are made by two parallel lines on the same line thus both will also same.
The adjacent angle of y = 74°
Since, adjacent angle + y = 180°
y = 180 - 74 = 106°.
Hence "If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°".
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Which graph represents the solution set for the quadratic inequality x^2 + 2x + 1 > 0?
Answer:
The answer you selected is correct.
Step-by-step explanation:
The answer has to be greater than 0 so the bottom graph is correct.
The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The quadratic inequality is x^2 + 2x + 1 > 0
[tex]x^2 + 2x + 1 > 0[/tex]
⇒ [tex](x+1)(x+1) > 0[/tex]
Plot this function on the graph as shown below.
From the graph, the function extends in both positive and negative direction at x = -1.
On number line, we can denote it as x = -1 and extends up to infinity on both sides.
Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
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Does 80/100 equal -8
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
Choose the equation one must solve to answer the question.
0 = 0.0048(x – 50)2 + 6
10 = 0.0048(x – 50)2 + 6
y = 0.0048(10 – 50)2 + 6
Answer:
The second option is correct 10= 0.0048(x-50)2+6
Step-by-step explanation:
I just completed it.
Answer: b (10=...)
the next one is 21 and 79 ft
Find the difference. (−2g+7)−(g+11)
Answer:
Step-by-step explanation:
(-2g+7)-(g+11)
-2g+7-g-11
-3g-4
z +5 = 6
Help please
Answer:
z = 1
Step-by-step explanation:
z + 5 = 6
z = 6 - 5
z = 1
Topic: Algebraic equations
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
z equals 1 so 1 + 5= 6
z+5 = 6
-5 -5
z = 1
Cross multiplication;
2/3 5/6
Do u just multiply 6 and 2, & 3 and 5????
Answer:
[tex]2 \div 3 \times 5 \div 6 \: = 10 \div 18[/tex]
We just have to multiply not cross multiply,
10/18
Now, divide the equation
5/9 will be ur answer
Answer:
No
Step-by-step explanation:
[tex]\frac{2}{3} \frac{5}{6}[/tex]
2 goes into 6 3 times so it would be the same as 1 going into 3 3 times.
[tex]\frac{1}{3} \frac{5}{3}[/tex]
Since 3 doesn't go into 5 at all (and by that I mean a whole number) you don't change it.
Multiplying 1/3 and 5/3, you would get 5/9.
Multiplying 2/3 and 5/6, you would get 10/18, which simplifies to 5/9.
That is kind of how cross multiplying works.
A local little league has a total of 75 players, of whom 20% are left-handed. How many
left-handed players are there?
Answer:
15
Step-by-step explanation:
75 x .20
15
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2, 2, 2, 2, 3
Prime factorization of 72: 2, 2, 2, 3, 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 2 ´ 3 ´ 3.
What is Ryan’s error?
Ryan did not include all the common factors in the greatest common factor.
Ryan did not list all the factors in the prime factorization of 48.
Ryan did not list all the factors in the prime factorization of 72.
Ryan found the least common multiple.
Answer:
Ryan found the least common multiple.
Step-by-step explanation:
(See attached for reference on LCM and GCF)
The method he used is to find the LCM
in this case the GCF should have been
2*2*2*3 = 24
Answer:
D on ed 2020
Step-by-step explanation:
On a circle, which of these is not a straight line?
Circle your answer.
I
circumference
radius
chord
diameter
Answer:
circumference
Step-by-step explanation:
it's a circle
Pls the real answer
Answer:
79.25 in.
Step-by-step explanation:
multiply 11 and 7.25 to get the actual size
A 3 inch by 5 inch photograph is enlarged so that the longer side is 15 inches.
What is the length of the shorter side of the enlarged photograph
Answer:
the length of shorter side is 9 inches.
longer side is enlarged 3times
so shorter side will also be enlarged 3 times.
If 8x – 4 = 6x – 10, find the value of 3x.
Answer:
-9
Step-by-step explanation:
8x-4=6x-10
2x-4=-10
2x=-6
x=-3
-3x3= -9
There are 3 girls taking swimming lessons and 6 boys. Write the ratio that compares the girls to the total number of students
Answer:
3:9
Step-by-step explanation:
Answer:
3:9
Step-by-step explanation:
hope this helps. if im wrong sorry.