The temperature of the substance at 10am = 63.95°F
Let the temperature at 10 am be x
The temperature changes by −8.7°F from 10 a.m. to 1 p.m
The temperature at 1 pm = x - 8.7
At 5 p.m., the temperature is 33.5°F
The temperature at 5 pm = 33.5°F
The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m
[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]
Solve for x
3(33.5) = 2(x - 8.7)
110.5 = 2x - 17.4
2x = 110.5 + 17.4
2x = 127.9
x = 127.9/2
x = 63.95°F
The temperature of the substance at 10am = 63.95°F
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Part A: Solve −mk − 90 > 85 for m. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points) (10 points)
Answer:
m < -175/k
f = -11 + [tex]\frac{3}{5}[/tex]c
Step-by-step explanation:
Part A:
-mk - 90 > 85
add 90 to each side to get:
-mk > 175
divide each side by -k to get:
m < -175/k
(inequality symbol switched because we divided by a negative)
Part B:
3c - 5f = 55
subtract 3c from each side to get:
-5f = 55 - 3c
divide each side by -5 to get:
f = -(55 - 3c) / 5 or -11 + [tex]\frac{3}{5}[/tex]c
BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
trail mix costs 1.00 per pound
jelly beans costs 3.50 per pound
Step-by-step explanation:
t = cost of trail mix
b = cost of jelly beans
3t+8b = 31
5t+2b = 12
Multiply the second equation by -4
-4(5t+2b = 12)
-20t+-8b = -48
Add this to the first equation
3t+8b = 31
-20t+-8b = -48
-------------------------
-17t = -17
Divide by -17
t = 1
Now we can find b
3t+8b = 21
3(1) +8b = 31
3+8b =31
Subtract 3
8b = 31-3
8b = 28
Divide by 8
b = 28/8
b = 7/3
b = 3.50
Let trail mix be x and jelly beans be y
The equations are
3x+8y=31-(1)5x+2y=12-(2)Multiplying (1) by 1 and (2) by 4
3x+8y=31---(3)20x+8y=48--(4)Subtracting
[tex]\\ \sf\longmapsto -17x=-17[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]
[tex]\\ \sf\longmapsto 2y=7[/tex]
[tex]\\ \sf\longmapsto y=7/2[/tex]
3. Rewrite the statement, "A dog is a puppy if and only if it is young," as a conditional and its converse.
O A. Conditional: A dog is a puppy. Converse: A dog is young.
O B. Conditional: A puppy is a dog. Converse: A puppy is young.
OC. Conditional: If a puppy is young, then it is a dog. Converse: If a puppy is a dog, then it is young.
O D. Conditional: If a dog is young, then it is a puppy. Converse: If a dog is a puppy, then it is young.
Answer:
I think the answer would be A
group the first two terms by underline the first two terms 16x^3-4x^2-4x+1
Answer:
Terms are the things that are separated by a (+) or a (-).
Step-by-step explanation:
16x^3 - 4x^2 -4x+1
I don't think I'm right...
Original price of shorts $53.95 Discount 30% Tax:4.5%
Answer:157.35
Step-by-step explanation: multiply then add the tax
Who ever sole this problem, with step by step soloution I will mark Brainliest (No Rubbish Please, I will report)
Step-by-step explanation:
There are a couple of ways you could do this
10, 250ml (10*250=2500)
5, 500ml (5*500=2500)
3, 750ml + 250ml (3*750=2250.... 2250+250=2500)
There are many ways you could approach this. Hope these examples help
if someone helps me with dis ill give u brainliest
Answer:
(25, 30) = 150 ,300 450
(15, 24) = 120 225 300
Step-by-step explanation:
Prime Factorization of 15 is:
3 x 5 => 3^1 x 5^1
Prime Factorization of 24 is:
2 x 2 x 2 x 3 => 2^3 x 3^1
Prime Factorization of 25 is:
5 x 5 => 5^2
Prime Factorization of 30 is:
2 x 3 x 5 => 2^1 x 3^1 x 5^1
what is the value of 69 - -26
Answer:
98
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95
The perimeter of a triangle is 71 cm. If the longest side of the triangle is 8 cm longer than five times the shortest side and the third side is 7 cm less than four times the shortest side. How long is the longest side of the triangle?
Answer:
43 cm
Step-by-step explanation:
If the longest side of the triangle is 8 cm longer than five times the shortest side
5s + 8
the third side is 7 cm less than four times the shortest side
4s - 7
The perimeter of a triangle is 71 cm
s + (4s - 7) + (5s + 8) = 71
Combine like terms
10s + 1 = 71
Subtract 1 from both sides
10s = 70
divide both sides by 10
s = 7
---------------------------------
How long is the longest side of the triangle
5s + 8
5(7) + 8
35 + 8
43
The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =
The value in cents of a nickels = 5a
[] A nickle is worth 5 cents, so 5a is the value of a nickles
The value in cents of a dimes = 10a
[] The value of a dime is 10 cents, so 10a is equal to a dimes
The value in cents of a quarters = 25a
[] A quarter is worth 25 cents, so 25a is the value of a quarters
The value in cents of a dimes and one quarter = 10a + 25
[] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter
The value in cents of 13 dimes = 130
[] A dime is worth 10 seconds, so 13 * 10 = 130
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answ
Question
Dylan went to the toy store and
bought 3 action figures for $45.
How much did 1 action figure
cost?
*Use the dollar sign"
10
Using the information from
problem #9, write the equation.
What is the equation?
Answer:
15$
Step-by-step explanation:
45 ÷ 3 = 15
10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either
Answer:
11
Step-by-step explanation:
10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11
The measure of an angle is 68.2°. What is the measure of its supplementary angle?
Answer:
x = 111.8°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees. Let x be the supplementary angle:
[tex]68.2+x=180\\x=111.8[/tex]
Find the slope of the line that goes through the points (4,-3) and (5,0)
Answer:
the slope of the points (4,-3) and (5,0) is 3
Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!
Answer:
[tex]\boxed {\boxed {\sf m=3}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line that passes through (4, -3) and (5,0).
The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.
[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:
x₁ = 4 y₁ = -3x₂ = 5 y₂ = 0Substitute the values into the formula.
[tex]m= \frac{0 - -3}{5-4}[/tex]
Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.
0--3 = 0+3=3[tex]m= \frac{3}{5-4}[/tex]
Solve the denominator.
5-4 =1[tex]m= \frac{3}{1}[/tex]
Divide.
[tex]m=3[/tex]
The slope of the line is 3.
Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)
let's change the decials first off to fractions and get the slope and line
[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]
[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]
[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]
what is the measure of angle x
Answer:
180
Step-by-step explanation:
Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.
If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?
l
Help me please ill mark you brainly
Answer:
The first one is -6x The second one is 18a to the power 3
Step-by-step explanation:
Find the median salary of nurses in Illinois : $72500, $52000 , $88500 , $73300 , $112000
Answer:
the correct answer is $74,560 but since that's not declared go with 73300
Solve
-16+ 20
A. -36
B.-4
C. 4
D. 36
Answer:
C: 4
Step-by-step explanation:
We can rearrange the numbers:
[tex]-16+20=+20-16=20-16=4[/tex]
Answer:
C. 4
Step-by-step explanation:
-16+20 equals 4 becase:
-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!
Thank You! Please Mark Me Brainliest!
What does y= when x = -1?
Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.
-17 + 2(1 + 3x) = x - 5(3 - x)
Answer:
Infinite.
Step-by-step explanation:
[tex]-17+2(1+3x)=x-5(3-x)[/tex]
Expand:
[tex]-17+2+6x=x-15+5x[/tex]
[tex]6x+15=6x+15[/tex]
[tex]6x=6x[/tex]
[tex]0=0[/tex]
Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.
the total whole numbers less than 1539 divisible by 12
Answer:
the ancwer is 1536
Step-by-step explanation:
i used a coculater
Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.
Answer:
Step-by-step explanation:
Translate the English phrase into an algebraic expression: four times the difference of v and one.
Answer:
4(v-1)
Step-by-step explanation:
the answer is 4(V-1)
Answer:
the answer is 4(v-1)
Arranging the real number in ascending order -8,2,0,9,-10
Hello,
- 10, - 8, 0, 2, 9
The ascending order is always : negative numbers, zero, positive numbers
Answer:
-10, -8, 0, 2, 9
7 inches 6 inches and 6 inches make a triangle?
Answer:
^
Step-by-step explanation:
The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.
Solve for r.
4r–3r=20
r=
Answer:
20
Step-by-step explanation:
4r - 3r = 20
r = 20
There you go.
Answer:
r = 20
Step-by-step explanation:
Let's solve your equation step-by-step.
4r − 3r = 20
Step 1: Simplify both sides of the equation.
4r − 3r =20
4r + −3r =20
(4r + −3r) =20 (Combine Like Terms)
r = 20
Hope this helps
Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?
A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?