Answer:
5 hours
Step-by-step explanation:
Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour
To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed
Solution:
Current water temperature at beach [tex]=82^{\circ}[/tex]
temperature rising rate degrees per hour [tex]=0.6^{\circ}[/tex]
let [tex]\text{h}[/tex] be the hours passed.
water temperature at the beach after hour [tex]\text{h}[/tex] be
[tex]= 82+0.6\text{h}[/tex]
Therefore,
equation for water temperature after [tex]\text{h}[/tex] [tex]\text{hour}[/tex] is
[tex]= 82+0.6\text{h}[/tex]
When water temperature is [tex]85^{\circ}[/tex]
[tex]85=82+0.6\text{h}[/tex]
[tex]0.6\text{h}=85-82[/tex]
[tex]0.6\text{h}=3[/tex]
[tex]\text{h}=\frac{3}{0.6}[/tex]
[tex]\text{h}=5[/tex] [tex]\text{hours}[/tex]
therefore it will take [tex]5[/tex] [tex]\text{hours}[/tex] to reach temperature [tex]85^{\circ}[/tex]
Initial temperature = 82°
Rate of temperature rise = 0.6° per hour
Final temperature = 85°
The equation which describes the relationship :
Final temperature = Initial temperature + (rate × number of hours)
Number of hours = h
Mathematically, the relationship can be written as :
85 = 82 + 0.6h
Solving for h :
Subtract 82 from both sides :
85 - 82 = 0.6h
3 = 0.6h
Divide both sides by 0.6
3/0.6 = h
h = 5
Hence, the temperature will be 85° after 5 hours
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VerZion sells the iPhone X for $899. If the monthly plan for service is $65 per month what is the linear equation for the cost of buying and using the new iPhone with Verizon. What is the total cost after 24 months ?
The linear equation for the total cost of buying and using the new iPhone with Verizon is total cost = $899 + ($65 * 24), which simplifies to $2459 for 24 months.
Explanation:To find the linear equation for the cost of buying and using the new iPhone with Verizon, we need to consider the initial cost of the iPhone and the monthly plan cost. Let's assume the initial cost of the iPhone X is $899 and the monthly plan is $65. We can represent the total cost after 24 months as a linear equation.
The equation can be written as:
total cost = initial cost + (monthly plan cost * number of months)
Since we want to find the total cost after 24 months, we substitute the values into the equation:
total cost = $899 + ($65 * 24)
Simplifying the equation:
total cost = $899 + $1560 = $2459
Therefore, the total cost after 24 months would be $2459.
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please help.......if Frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use?
Fran's fudge recipe, originally calling for [tex]2\frac{1}{2}[/tex] cups of sugar, would require [tex]2\frac{9}{10}[/tex] cups after she increases the sugar by 2/5 of a cup. The process involves converting mixed numbers to improper fractions, finding a common denominator, and then adding the fractions together.
If Fran's fudge recipe calls for [tex]2\frac{1}{2}[/tex] cups of sugar and she increases it by 2/5 of a cup, we first need to find the common denominator to combine these two fractions. To do this, we express [tex]2\frac{1}{2}[/tex] cups as an improper fraction, which is 5/2 cups (since [tex]2\frac{1}{2}[/tex] = 5/2). Then, we add 2/5 of a cup to it.
Steps:
Convert 2 1/2 cups to an improper fraction: [tex]2\frac{1}{2}[/tex] = 5/2.
Add 2/5 cup to 5/2 cups: To add these, we need a common denominator, which is 10. So, we convert 5/2 to 25/10 and 2/5 to 4/10.
Add the two fractions: (25/10) + (4/10) = (29/10).
Convert 29/10 back to a mixed number: 29/10 = [tex]2\frac{9}{10}[/tex].
Therefore, Fran uses [tex]2\frac{9}{10}[/tex] cups of sugar in her fudge recipe after the increase.
if a certain number is added to 24, the result is the same as if the number were multiplied by 3. what is the number?
The answer is the number 12. This is because if 12 is added to 24 it equals 36 and if 12 is multipled by 3 it is 36.
If a certain number is added to 24, the result is the same as if the number were multiplied by 3 the certain number is 12.
Let's assume the certain number is represented by "x."
According to the given information, if the number is added to 24, the result is the same as if the number were multiplied by 3. This can be written as the following equation:
x + 24 = 3x
Now, let's solve for "x":
Subtract "x" from both sides to isolate the "x" term on one side:
x + 24 - x = 3x - x
24 = 2x
Now, divide both sides by 2 to solve for "x":
x = 24 / 2
x = 12
Therefore, the certain number is 12.
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half of a number decreased by four
which construction is illustrated above?
a) a parallel line to a given line from a point not on the line
b) an angle congruent to a given angle
c) the bisector of an angle
d) a perpendicular to a given line from a point on the line
Pretty sure it is A - a parallel line to a given line from a point not on the line
I'm working on the same test :)
Answer:
The construction is a parallel line to a given line from a point not on the line.
Step-by-step explanation:
For a given figure,
To construct a parallel line
Step 1 : Draw transversal line through any point not on line which is given.
Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.
Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line.
What is the slope of the line through (-1,8) and (3,-4)?
Hey there!!
How do we find slopes ?
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
We are given with two co-ordinates :
(-1,8) and (3,-4)
Hence, the slope is :
[tex]\frac{-4-8}{3+1}[/tex]
... [tex]\frac{-12}{4}[/tex] = -3
The slope is -3.
Hope my answer helps!
Which activity did artists do during the enlightenment?
Answer:
They place more emphasis on science.
Step-by-step explanation:
The enlightenment emerged in 18th-century, which brought ideas that were deeply influenced by reason, empiricism and classics. It restructured the old Greek and Roman ideas to make new inventions, and was changing ideas due to reasoning. It was the idea behind the invention of sculpting, a new way of passing ideas or information to people more than through paintings.
Enlightenment initially started with assembling of ordinary materials by a process termed sculptural construction, did not mean exactly the same thing to everybody.
During the enlightenment, artists placed more emphasis on science.
Artists during the Enlightenment shifted from Rococo to Neoclassicism and used their works to convey political messages.
Artists during the Enlightenment played a crucial role in spreading Enlightenment concepts and inspiring rational thinking. The dominant artistic style shifted from Rococo to Neoclassicism, focusing on clarity, logic, and order. Artists like Jacques-Louis David depicted themes of democracy and political statements in their works.
Can someone explain this math problem to me?
So, (7.14 x 10^10) + (3.21 x 10^10) equals 1.035 x 10^11, but what I'm stuck on, is how does 10^10 end up being 10^11?
Given problem is:
[tex](7.14\times10^{10})+(3.21\times10^{10})[/tex]
step by step solution:
we will add similar elements.
[tex]10^{10}(7.14+3.21)[/tex]
= [tex]10^{10} (10.35)[/tex]
Now converting [tex]10^{10}[/tex] in decimal form we get 10000000000 (10 zeroes)
Now multiplying 10.35 with 10000000000 we get 103500000000 (8 zeroes)
or we can change it to exponential form like [tex]1.035\times10^{11}[/tex]
11 because when you count from the extreme right end '0' and come counting to the left side, you skip 11 numbers till you reach the first number '1'. And when you put a decimal after 1st number, so the last '0' is at the 11th place, that is why it is [tex]10^{11}[/tex] .
5c-9=-9 plz sloveeeeeeeeeeee
Move all terms that don't contain c to the right side and solve.
Answer: c = 0
The garden club earned, $15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
The right answer is 15t times 2.
The garden club earns 15 dollars per hourt is the hoursA generous donor doubles their earningsDouble means times 2The right answer is 15t times 2.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
The garden club earned, $15 per hour by weeding neighborhood gardens for t hours.
A generous donor has agreed to double their earnings.
now,
The garden club earns 15 dollars per hourt is the hoursA generous donor doubles their earningsDouble means times 2.hence, The right answer is 15t times 2.
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3ft to 4yd as a ratio as a fraction in simplest form
Answer:
1/4
Step-by-step explanation:
3 feet = 1 yard
therefore in fraction form 1 yd over 4 yd
3 : 12 = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex] in simplest form
we require the 2 measures to be in the same units
using 1 yard = 3 feet then 4 yards = 4 × 3 = 12 feet
ratio = 3 : 12 = [tex]\frac{1}{4}[/tex] as a fraction in simplest form
Dwight spent $250 to rent a jet ski for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour, h. The equation 4h + 150 = 250 models Dwight's cost of renting the jet ski. How much does each additional hour of rental cost?
Answer:
25$
Step-by-step explanation:
4h+ 150= 250
subtract the 150 from 250 to get 100
4h =100
then divide 100 by 4
h=25
Answer:
25$
Step-by-step explanation:
$25 for each additional rental hour.
4h + 150 = 250
4h = 100
h = 25
What is the value of p in the equation 1/4 (8-4p)+2p=12
Let p: x < −3 Let q: x > 3 What is represented by p ∨ q? x < −3 and x > 3 x > 3 or x < −3 If x < −3, then x > 3 x < −3 if and only if x > 3
[tex]\vee=or\\\\therefore\\\\p:x < -3\ ; q:x > 3\\\\p\vee q\to x < -3\ or\ x > 3[/tex]
[tex]\wedge=and\\\\\Rightarrow=if\ ...,\ then\ ...\\\\\Leftrightarrow=if\ and\ only\ if[/tex]
Answer:
the one with or just got it right
Step-by-step explanation:
change 1.34 repeating into a fraction
[tex]x=1.\overline{34}\\\\x=1.343434...\qquad|\cdot100\\\\100x=134.343434...\\\\100x-x=134.343434...-1.343434...\\\\99x=133\qquad|:99\\\\x=\dfrac{133}{99}[/tex]
Y apples at $0.35 each
The formula C = 0.35y efficiently calculates the total cost of y apples at $0.35 each. It demonstrates a straightforward linear relationship between cost and quantity.
To find the total cost (C) of y apples priced at $0.35 each, you can use the equation C = 0.35y. This formula multiplies the cost per apple ($0.35) by the number of apples (y) to give you the total cost. For instance, if you want to buy 10 apples (y = 10), the calculation would be C = 0.35 * 10, which equals $3.50.
This equation works because it represents a simple linear relationship between the cost and the quantity of apples. Each apple adds $0.35 to the total cost. Therefore, by multiplying the cost per apple by the number of apples, you get the overall cost.
Remember, this formula assumes a constant price per apple. If the price were to change, the equation would need to be adjusted accordingly. This calculation is useful for budgeting and understanding the cost implications of buying a specific quantity of apples at a given price.
Complete question:
What is the answer to y apples at $0.35 each
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A polygon has an interior sum of 3060 degrees how many sides must the polygon have?
Solve each inequality.
1. [tex] \frac{1-7n}{5} [/tex] > 10
First multiply 5 on both sides to get rid of the five on the bottom.
[tex]\frac{1-7n}{5*5}[/tex][tex]>10*5[/tex]
[tex]1-7n>50[/tex]
Subtract 1 from both sides of the inequality.
[tex]1-1-7n>50-1[/tex]
[tex]-7n>49[/tex]
Divide -7 on both sides, and flip the inequality sign since we are dividing by a negative.
[tex]\frac{-7n}{7}[/tex][tex]>\frac{49}{-7}[/tex]
[tex]n<-7[/tex]
The solution to the inequality is n<-7.
[tex]Solution, \frac{1-7n}{5}>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}5, \frac{5\left(1-7n\right)}{5}>10\cdot \:5[/tex]
[tex]\mathrm{Simplify}, 1-7n>50[/tex]
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}, 1-7n-1>50-1[/tex]
[tex]\mathrm{Simplify}, -7n>49[/tex]
[tex]Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right), \left(-7n\right)\left(-1\right)<49\left(-1\right)[/tex]
[tex]\mathrm{Simplify}, 7n<-49[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}7, \frac{7n}{7}<\frac{-49}{7}[/tex]
[tex]\mathrm{Simplify}, n<-7[/tex]
The correct answer is n<-7
Hope This Helps!!!
A first number plus twice a second number is 1. Twice the first number plus the second totals 14. Find the numbers
Let's consider the first number to be [tex]f[/tex] and the second number to be [tex]s[/tex]. Based on the information in the problem, we can create the following equations:
[tex]f + 2s = 1[/tex]
[tex]2f + s = 14[/tex]
Now, we can solve the equations through systems of equations. One way of doing this is by multiplying one of the equations so that there is a term in both equations which can be removed by addition or subtraction. In our case, we can multiply the entire first equation by 2 to get:
[tex]2f + 4s = 2/tex]
[tex]2f + s = 14[/tex]
Now, subtract [tex]2f[/tex] from both equations to get:
[tex]3s = -12[/tex]
[tex]s = -4[/tex]
Now that we have found [tex]s[/tex], "plug" it back into an equation to find [tex]f[/tex]:
[tex]f + 2(-4) = 1[/tex]
[tex]f - 8 = 1[/tex]
[tex]f = 9[/tex]
Our answers are s = -4 and f = 9.
Hey there!!
Let's take the first number as ' x '
Let's take the second number as ' y '
First number + twice the second number is 1
x + 2y = 1 ------------ ( 1 )
Twice the second number + second number is 14.
2x + y = 14 ----------- ( 2 )
Now let's get them all together...
...................................................................................................................................................................
x + 2y = 1 --- ( 1 )
2x + y = 14 --- ( 2 )
Now, let's multiply the first equation with 2 ...
...................................................................................................................................................................
2x + 4y = 2 --- ( 1 )
2x + y = 14 --- ( 2 )
Now, let's subtract the second equation from the second...
...................................................................................................................................................................
2x + 4y = 2 --- ( 1 )
- ( 2x + y ) = - ( 14 )
...................................................................................................................................................................
2x + 4y = 2 --- ( 1 )
-2x - y = -14 --- ( 2 )
...................................................................................................................................................................
3y = -12
Divide by 3 on both sides...
y = -4
The second number is -4.
We have the first equation x + 2y = 1
We got the y value, now substitute the value of y to get the value of x
...................................................................................................................................................................
x + 2y = 1
x + 2 ( -4 ) = 1
x - 8 = 1
Add 8 on both sides
x = 9
Hence, the second number is 9.
...................................................................................................................................................................
Hope my answer helps!!
What is -7x-3x+2=-8x-8 show your work
Answer:
x = 5
Step-by-step explanation:
First, we need to move all the x's onto one side:
-7x-3x+8x = -8-2
Then, we simplify:
-2x = -10
To find x, we need to divide each side by -2:
So then x = 5
There are 12 inches in a foot. Which expressions describe how many inches are in 4 feet? Check all that apply.
Answer:A,C,D
Step-by-step explanation:
Took test
what is the anwser to x-6y=-30
Steps for solving for x.
Step 1. Add 6y to both sides
x = -30 + 6y
Step 2. Regroup terms
x = 6y - 30
Steps for solving for y.
Step 1. Subtract x from both sides
-6y = -30 - x
Step 2. Divide both sides by -6
y = -30 - x/6
What is the perimeter of kite ACBO? 31 units 56 units 62 units 64 units
the answer is 62 units because of the way the kite looks. a kite has 5 to 4 sides and if you divide that you will get sixty two units per unit.
The perimeter of kite ACBO is 62 units. Therefore, option C is the correct answer.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
From the given kite ACBO, OB=7 uints and OC=25 units.
Here, ∠OBC=90° (Angle between radius and tangent is 90°)
By using Pythagoras theorem,
BC²=OB²+OC²
25²=7²+OC²
625=49+OC²
OC²=625-49
OC²=576
OC=24 units
So, perimeter=2(a+b), where a and b are adjacent sides
= 2(7+24)
= 2×31
= 62 units
Therefore, option C is the correct answer.
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Please simplify the following distributive property expression:
-11(9b-8)
[tex]-11(9b-8)=(-11)(9b)+(-11)(-8)=-99b+88[/tex]
A random sample produced the pie chart below. The chart gives percentages of students that under reported, accurately reported, and over reported their heights. If there are 2,500 students at the school, how many of them can you reasonably expect report their height accurately?
A. 500
B. 200
C. 50
D. 20
Answer:
The correct option is A.
Step-by-step explanation:
Total number of students at the school is 2,500.
In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.
From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.
[tex]2500\times \frac{1}{5}=500[/tex]
Therefore the number of students that accurately reported their height is 500. Option A is correct.
Answer:
Option A) 500
Step-by-step explanation:
We are given the following information:
Total number of students = 2500
From pie chart:
[tex]\text{Under Reported }= \displaystyle\frac{1}{5}\times 100\% = 20\%\\\text{Accurately Reported }= \displaystyle\frac{1}{5}\times 100\% = 20\%\\\text{Over Reported }= \displaystyle\frac{3}{5}\times 100\% = 60\%[/tex]
We have to find the number of students whose height were accurately reported =
[tex]\text{Number of students whose height were accurately reported }= \\\text{Number of students}\times \text{Percentage of students whose height were accurately reported}\\= 2500\times 20\%\\\\= 2500\times \displaystyle\frac{20}{100} = 2500\times \frac{20}{100} = 500[/tex]
500 students report their height accurately.
The slope of a line is 0. What do you know about the line?
Your answer (C, the line is vertical) is correct
Your line would have to be horizontal. A vertical line yields an undefined slope.
Slope is rise over run. For a horizontal line you would have 0 rise and X amount of run or 0/x. 0 divided by anything = 0
For a vertical line, you would have the opposite, X rise and 0 run or x/0. You cannot divide by 0. It is impossible.
Therefore, your answer is the second option.
1.) Use a property to write an equivalent expression for 12*(100-5). Which property did you use?
2.) Stephen is combing all of the juice shown to make fruit punch. Does the expression (64+28+76)÷6 show how you could calculate the number of 3/4 cup servings? Explain. (The amount of juice is in the parentheses)
1. 12*100 - 12*5
You would use the distributive property to get this equation (it is equivalent to the original one)
2. Um... There's no actual story for this problem; sorry I can't solve this problem
Answer:
1. 12*100 - 12*5
You would use the distributive property to get this equation (it is equivalent to the original one)
2. Um... There's no actual story for this problem; sorry I can't solve this problem
Step-by-step explanation:
I need help remembering the steps to 56=
2(x+2)
What is the answer
Hello!
To find the answer to this question we first need to find the weekly average.
If we divide 4,320 by 9, we are given an average of $480 per week.
Since we are given the information that Robin works 50 weeks during the year, we can multiply that value by 50 which equal to $24,000.
Hope this helps.
they are 12 rows of tiles and 30 in each row how many titles does Maria use