Answer:
x=1 y= 7
x=2 y= 10
x=3 y= 13
Step-by-step explanation:
y=3x+4
y=3(1)+4
=7
y=3(2)+4
=-10
y=3(3)+4
=13
For this case we have the following equation:
[tex]y = 3x + 4[/tex]
We must find the value of the variable y when the variable x takes certain values.
For [tex]x = 1:[/tex]
[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]
For [tex]x = 2:[/tex]
[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]
For [tex]x = 3:[/tex]
[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]
Thus, the values of y are 7,10,13 respectively.
Answer:
[tex]y = 7\\y = 10\\y = 13[/tex]
Please answer this sample space question.
A = number of flavors = 3
B = number of toppings = 4
C = number of syrups = 2
D = number of different sundaes (picking one flavor, topping and syrup)
D = A*B*C
D = 3*4*2
D = 24
There are 24 different sundaes possible.
Answer: C) 24A platinum nugget weighs 3 1/2 ounces. How many 1/4 ounces prices can be cut from nugget?
Answer:
14
Step-by-step explanation:
3 1/2 ounces is equal to:
7/2 or 14/4
14/4 is 14 quarter ounce chunks
A total of 14 pieces each of weight 1/4 ounce can be cut from the platinum nugget.
What is Scale factor?
Scale factor is defined as the rate at which one dependent quantity varies with an independent one. Mathematically : y = Kx can be written as -
y is K times larger than x.
Given is a platinum nugget whose weight is 3 1/2 ounces.
Assume that 3 1/2 ounces is equivalent to K times of 1/4 ounces.
Now, we can write - 3 1/2 = 7/2
Therefore, we can write the relation as follows -
7/2 = K/4
K = 7/2 X 4
K = 14
Therefore, a total of 14 pieces each of weight 1/4 ounce can be cut from the platinum nugget.
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Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained.
See the explanation
Explanation:Theorem:
A perpendicular dropped from the center of the circle to a chord bisects it. It means that both the halves of the chords are equal in length.
In my own words, I'd explain this by drawing a circle and the diameter of the circle drawn in red. Also, we have a chord of the circle drawn in blue. The theorem says that the diameter bisects the chord in a right angle, so we will have two halves that measure the same so that's why we drew two hash marks on each half of the chord.
A problem about this is indicated in figure 2. Suppose you have a perpendicular dropped from the center of the circle to a chord and you know that the left half measures 2 cm, so we want to know the x-value of the right half. Since the diameter bisects the chord, then it is true that [tex]x=2cm[/tex] as well.
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Alice traveled 30 miles in 3 hours. What equation shows the relationship between
distance traveled (d), speed (s), and time taken (t)?
0 0 t = 300
() Od = 3t
» Os = 30t
() Os = 3t
0
30 = st
Equation shows the relationship between distance traveled (d), speed (s), and time taken (t) is:
[tex]s = \frac{30}{3}\\\\s = 10\ miles\ per\ hour[/tex]
Solution:
Given that,
Alice traveled 30 miles in 3 hours
To find: Equation shows the relationship between distance traveled (d), speed (s), and time taken (t)
The speed is given by:
[tex]Speed = \frac{distance}{time}[/tex]
From given,
Distance = d = 30 miles
Time = t = 3 hours
Therefore,
[tex]s = \frac{d}{t}[/tex]
[tex]s = \frac{30}{3}\\\\s = 10\ miles\ per\ hour[/tex]
Thus the equation is found and speed is calculated
A town's population has been growing linearly. In 2003, the population was 64000, and the population has been growing by 2200 people each year. Write an equation for the population x years after 2003.
What is log 81 base 3
Answer:
4
Step-by-step explanation:
log_3 (81)
set equal to x
log_3 (81) = x
saying this out loud is "x equals 3 raised to what power is 81"
notice that it is the same as
3^x = 81
so x equals 4
Mark buys 6 notebooks for $9.Steven buys 4 notebooks of the same time for $6.Which of the following points is not on the graph of the relationship between notebooks and price?
Please help as soon as you can
Answer Choices:
F(3,4.50)
G(8,12)
H(7,10.50)
J(12,16)
Answer:
F, G, H
Step-by-step explanation:
$9/6 = $1.5
$6/4 = $1.5
The price is $1.50 per notebook.
Every point on the graph must have a y-coordinate that is 1.5 times the x-coordinate.
The function is y = 1.5x
F(3,4.50) 3 * 1.5 = 4.5 Yes
G(8,12) 8 * 1.5 = 12 Yes
H(7,10.50) 7 * 1.5 = 10.5 Yes
J(12,16) 12 * 1.5 = 18 No
A vertical wheel with a string around it
what is seven tenths of 180?
I have 60 coins both quarters and dimes. The combined total is 9.45. What are two equations I can use to solve this problem?
Answer:
q+d = 60.25q +.10d = 9.45Step-by-step explanation:
Assuming the problem you want to solve is finding the number of each coin, you can let variables represent those numbers. I like to use mnemonic variables, such as q for the number of quarters, and d for the number of dimes.
The two equations you can write are based on the given information:
q + d = 60 . . . . . . you have 60 coins
.25q +.10d = 9.45 . . . . . their value is 9.45
_____
You have 23 quarters and 37 dimes.
_____
I like to solve these by substitution, using an expression to replace the variable representing the lowest-value coin.
d = 60 -q . . . . . . . expression for the number of dimes
.25q +.10(60 -q) = 9.45
.15q +6.00 = 9.45 . . . . . eliminate parentheses, collect terms
.15q = 3.45 . . . . . . . . . . .subtract 6.00
q = 23 . . . . . . . . . . . . . . . divide by 0.15
d = 60 -q = 37
Suppose a pizza is removed from an oven at 400°F into a kitchen whose temperature is a constant 76°F. Three minutes later the temperature of the pizza is found to be 267°F. (Round your answers to two decimal places.)
(a) What is the temperature
T(t)
of the pizza after 5 minutes?
T(5) =
(b) Determine the time when the temperature of the pizza is 150°F.
min
(c) After a very long period of time, what is the approximate temperature of the pizza?
°F
Answer:
A. 178.35°F
B. ≅ 5.64 minutes or 5 minutes 38 seconds approximately
C. 76°F.
Step-by-step explanation:
1. Let's review the information given to us to answer the questions correctly:
Temperature of the pizza in the oven = 400°F
Temperature of the kitchen = 76°F constantly
Temperature of the pizza after 3 minutes = 267°F
2. A. What is the temperature T(t) of the pizza after 5 minutes?
We will use the ratio of how much degrees the temperature of the pizza decreases per minute, this way:
Ratio = (Temperature of the pizza in the oven - Temperature of the pizza after 3 minutes)/ Minutes
Ratio = (400 - 267)/3 = 133/3 = 44.33 (Rounding to two decimal´places)
It means that the temperature of the pizza diminishes 44.33°F per minute.
Therefore, the temperature T(t) of the pizza after 5 minutes, will be:
T(5) = 400 - (44.33 * 5) = 400 - 221.65 = 178.35°F
B. Determine the time when the temperature of the pizza is 150°F.
min.
Time when the pizza is 150°F = (400 - 150)/44.33 = 250/44.33 = 5.64 minutes or 5 minutes 38 seconds approximately
C. After a very long period of time, what is the approximate temperature of the pizza? It will be the temperature of the kitchen, 76°F.
if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal will you meet after the batch is finished
Answer:
12.5% ≈ 13%
Step-by-step explanation:
The rest of the question is: There are 75 pills in the batch.
The current batch of pills is the first of the day and our goal is to produce a total of 600.
If there are 75 pills in the batch so percentage of goal completed will be
[(number of pills in the batch)/(Total pills)] * 100
[tex]\frac{75}{600}*100 = 12.5 \%[/tex]
≈ 13% to the nearest whole number
The percentage of the goal met after the batch is finished is 100%.
Explanation:To find the percentage of the goal met after the batch is finished, we need to divide the number of pills produced by the goal and then multiply by 100. In this case, since the goal is 600 and the batch produced 600 pills, the percentage of the goal met would be:
Percentage of goal met = (600/600) * 100 = 100%
Therefore, after the batch is finished, 100% of the goal will be met.
Diego scores 9 point less than Andre in the basketball game. Noah scores twice as many points as Diego. if Noah
Answer:
Andre scored 14 points in the game.
Step-by-step explanation:
Question :
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If
Noah scored 10 points, how many points did Andre score?
Given:
Diego scored 9 points less than Andre in the basketball game.
Noah scored twice as many points as Diego.
Noah scored 10 points
To find Andre's points.
Solution:
Let Andre's score be = [tex]x[/tex] points
Then, Diego's points will be = [tex](x-9)[/tex] points
Noah's points will be = [tex]2(x-9)[/tex] points
Noah's points given = 10 points.
Thus, the equation can be given as:
[tex]2(x-9)=10[/tex]
Solving for [tex]x[/tex].
Dividing both sides by 2.
[tex]\frac{2(x-9)}{2}=\frac{10}{2}[/tex]
[tex]x-9=5[/tex]
Adding 9 both sides.
[tex]x-9+9=5+9[/tex]
∴ [tex]x=14[/tex]
Thus, Andre scored 14 points in the game.
The score of Andre and Diego is 14 and 9 points, respectively.
Given information:
Diego scores 9 points less than Andre in the basketball game.
Noah scores twice as many points as Diego.
Noah's score is 10 points.
Let x be the score of Diego.
So, the score of Andre will be x+9 and that of Noah will be [tex]2x[/tex].
Compare Noah's score to get the value of x as,
[tex]2x=10\\x=5[/tex]
So, Diego's score is 5 points.
Now, the score of Andre will be calculated as,
[tex]x+9=5+9\\=14[/tex]
Therefore, the score of Andre and Diego is 14 and 9 points, respectively.
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20 POINTS!!
What is the value of x?
Answer:
98up-'[y;adsdsfsafafdespenol es mi amigos si
Step-by-step explanation:
Q. You’re in charge of filling out the office supply purchase orders for your company. If you need 20,000 sheets of paper, and one ream of paper equals 500 sheets, where will you get the best deal?
Answer: answer is C
Step-by-step explanation:
Answer:
Sales Warehouse
Step-by-step explanation:
If 1 1/4 kg sugar cost 2.25, find the cost of 3 1/4 kg of sugar
Step-by-step explanation:
because 1 kg is worth 2 is 1/4 is worth .25
so multiply 2 by 3 and add 1/4
good luck hope this helps.
Answer:
cost of [tex]3\frac{1}{4}[/tex] kg sugar is [tex]5.80[/tex]
Step-by-step explanation:
Converting the quantity of sugar from mixed fraction to proper fraction
[tex]1\frac{1}{4} =\frac{(1*4)+1}{4} =\frac{5}{4}[/tex]
Cost of [tex]\frac{5}{4}[/tex] kg of sugar= 2.25
Cost of 1 kg of sugar [tex]2.25*\frac{4}{5} \\=0.45*4\\=1.80[/tex]
similarly, [tex]3\frac{1}{4} =\frac{(3*4)+1}{4}=\frac{13}{4}[/tex]
So, the cost of [tex]\frac{13}{4}[/tex] kg of sugar is
[tex]\frac{13}{4}*1.80 \\=5.80[/tex]
cost of [tex]3\frac{1}{4}[/tex] kg sugar is [tex]5.80[/tex]
A family ordered some candy bars and bags of chips for snacking. The number of candy bars was twice as much as the number of bags of chips. If the family spent a total of $5.50, how many bags of chips did the family buy?
Answer:
The family bought approximately 2 bags of chips.
Step-by-step explanation:
Given:
Total spent by family = $5.50
We need to find bags of chips did the family buy.
Solution:
Let number of bags of chips bought be 'x'.
Also Given:
The number of candy bars was twice as much as the number of bags of chips.
number of candy bars = [tex]2x[/tex]
Now we can say that;
Total spent by family is equal to sum of the number of bags of chips bought and number of candy bars.
framing in equation form we get;
[tex]x+2x=5.5\\\\3x=5.5[/tex]
Dividing both side by 3 we get;
[tex]\frac{3x}{3}=\frac{5.5}{3}\\\\x=1.83\approx2[/tex]
Hence the family bought approximately 2 bags of chips.
Witch of these items are you most likely to buy with an installment loan ?
A. A couch
B. Groceries
C. A calculator
D. School books
The item most likely to be bought with an installment loan is A. A couch, as installment loans are used for significant purchases paid over time. Groceries, calculators, and school books are generally less expensive and paid for upfront.
The question posed is, "Which of these items are you most likely to buy with an installment loan?" The correct answer is A. A couch. Installment loans are typically used for larger purchases that require payment over time. These include items such as furniture, cars, and appliances.
On the other hand, groceries (B), calculators (C), and school books (D) are generally more affordable and are usually paid for upfront rather than through installment loans. Installment loans often come with interest, making them more suitable for more expensive items that cannot be paid for in full immediately.
It is essential to carefully consider the necessity and the ability to repay before taking out any loan, especially for substantial purchases like a couch, to avoid financial strain.
Is the time is takes you to run a 100-meter race function of the speed you run?
Answer:
Step-by-step explanation:
The simple answer is "yes".
The reason is that Distance = Speed (Velocity) * time taken.
d = v*t
Given that the distance is fixed, the velocity and time become inversely related such that an increase in velocity will mean that the distance is covered in a shorter time while an increase in time will mean that the distance is covered at a slower velocity.
What is 0.00072 written in scientific notation
Answer: 7.2 * 10 to the negative four
Step-by-step explanation:
a right rectangel prism has a height of 6.5cm a wudth of 8 cm and a legnth of 12.1 cm. what is the volume of the prism?
Answer:
The volume of the Prism=[tex]629.2cm^3[/tex]
Step-by-step explanation:
A right rectangle prism shape is that in which the faces of the prism are in the shape of a rectangle making it a cuboid.
Volume of a right rectangle prism= [tex]length*width*Height[/tex]
Given: length=12.1 cm
width=8 cm
Height= 6.5 cm
Putting the given values in the formula
Volume of the right rectangular prism:
[tex]=12.1cm*8cm*6.5cm\\\\=629.2cm^3[/tex]
The volume of the Prism=[tex]629.2cm^3[/tex]
: Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck was in the amount of $6,500, including her salary of $1,000. Her sales for the week totaled $25,000. Express her rate of commission as a percent. Round to the nearest whole number.
Answer:
[tex]Rate\ of\ commission=22\%[/tex]
Step-by-step explanation:
Let her rate of commission[tex]=x\%[/tex]
Salary[tex]=\$ 1000[/tex]
Weekly Amount[tex]=\$ 6500[/tex]
So earning from commission=Weekly Amount-Salary
Earning from the commission[tex]=6500-1000[/tex]
Earning from the commission[tex]=\$ 5500[/tex]
Total Sales[tex]=\$ 25000[/tex]
Commission is[tex]=x\%\ of\ 25000[/tex]
[tex]x\%\ of\ 25000=5500\\\\\frac{x}{100}\times 25000=5500\\\\x\times 250=5500\\\\x=\frac{5500}{250}\\\\x=22\%[/tex]
[tex]Rate\ of\ commission=22\%[/tex]
Solve for y. y + 1.05 = 7.26 y = -6.21 y = -8.31 y = 6.21 y = 8.31
To solve for 'y' in the equation 'y + 1.05 = 7.26', subtract 1.05 from both sides of the equation, the answer is 'y = 6.21'.
Explanation:In mathematics, solving for 'y' involves rearranging the equation to isolate the 'y' variable. In this case, the equation is 'y + 1.05 = 7.26'.
To solve for y, begin by performing the inverse operation of addition on both sides of the equation. This means subtracting 1.05 from both sides.
After doing so, the equation would look like this:
So the solution for y in this equation is 6.21.
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solve the equation (3x+10)+81=0
Answer:
x = -30*1/3
Step-by-step explanation:
(3x+10)+81=0
3x + 10 + 81 = 0
3x + 91 = 0
3x = -91
x = -91/3
x = -30*1/3
What are the terms of this arithmetic series?
Answer:
[tex]a_1=7[/tex]
[tex]a_2=7\\a_3=10\\a_4=13\\a_5=16[/tex]
Step-by-step explanation:
The arithmetic series is [tex]S_{5}=\sum_{k=1}^5(1+3k)[/tex]
From the given series the general term of the series is [tex]a_k=1+3k[/tex]
When [tex]k=1[/tex], we substitute into the general formula to get:
[tex]a_1=1+3(1)=4[/tex]
When k=2, we get: [tex]a_2=1+3(2)=7[/tex]
When k=3, we substitute to get:
[tex]a_3=1+3(3)=10[/tex]
When k=4, we substitute to get:
[tex]a_4=1+3(4)=13[/tex]
When k=5, we get:
[tex]a_5=1+3(5)=16[/tex]
Answer:
a1= 4
a2=7
a3=10
a4=13
a5=16
s5=50
Step-by-step explanation
After traveling 345 miles, the
Johnston family stopped at a
rest stop for lunch. Looking at
the map, they realized they had
completed of the trip. If d
represents the total distance in
miles, which equation can be
used to find d ?
Answer:
3/5 x d = 345
Step-by-step explanation:
got the question right on the quiz
xavier sells homemade necklaces for a profit of $22 per necklace. he is considering switching to a new type of pendant that will increase his profit, as expressed by the function y=29x, where x is the number sold and y is the amount of profit. how many more dollars will xavier earn on each necklace if he switches to the new material?
Answer:
29 dollars each
Answer:
$7 more
Step-by-step explanation:
According to the question, Xavier sells homemade necklaces for a profit of $22 per necklace .
Now, he’s considering switching to a new type of pendant that will increase his profit as expressed by
y = 29x
Where x = number sold and
y = amount of profit
From the expression, if he sells one necklace made with the new type of pendant ,
y = 29 x 1
= $29
Remember he makes $22 per necklace already .
$ earns if he switches to the new pendant = $29 - $22
= $7
He’ll earn $7 more if he switches to the new material
What is the area of the triangle below
The area of a triangle is 1/2*base*height
If h=8, b=15, then we have 1/2*8*15 which is 1/2*120 which is 60
So the right choice is B
Hope this helped!
x - y - 2z = 4
-x + 3y - z = 8
-2x - y - 4z = -1
The point is a solution to the system shown.
The point to the system of solution is (3, 3, –2).
Solution:
Given equations are
x – y – 2z = 4 – – – – (1)
–x + 3y – z = 8 – – – – (2)
–2x – y – 4z = –1 – – – – (3)
Let us first eliminate x from 2 equations.
Add (1) and (2)
x – y – 2z – x + 3y – z = 4 + 8
⇒ 2y – 3z = 12 – – – – (4)
Multiply equation (1) by 2 and add with equation (3)
2x – 2y – 4z – 2x – y – 4z = 8 – 1
⇒ –3y – 8z = 7 – – – – (5)
Now, Multiply equation (4) by 3 and equation (5) by 2 and add them.
6y – 9z – 6y – 16z = 36 + 14
⇒ –25z = 50
⇒ z = –2
Substitue z = –2 in equation (4), we get
⇒ 2y – 3(–2) = 12
⇒ 2y = 12 – 6
⇒ y = 3
Substitute, z = –2 and y = 3 in equation (1), we get
⇒ x – 3 – 2(–2) = 4
⇒ x – 3 + 4 = 4
⇒ x + 1 = 4
⇒ x = 3
Hence the point to the system of solution is (3, 3, –2).
Answer:
(3, 3, –2).
Step-by-step explanation:
What is the value of X: X^2=9/144
Answer:
3/12
Step-by-step explanation:
To solve this problem, we can use square roots. Due to x being squared, we can square root both the top and the bottom. The square root of 9 is 3 with 144 being 12. In the end, x equals 3/12
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{What\ is\ the\ value\ of\ x: x^2=\dfrac{9}{144}\ ?}[/tex]
[tex]\mathsf{First,\ you\ have\ to\ simplify\ both\ sides\ of\ your\ equation!}[/tex]
[tex]\mathsf{\dfrac{9}{144}= \dfrac{9\div9}{144\div9} = \boxed{\dfrac{1}{16}}}[/tex]
[tex]\mathsf{New\ equation\ (for\ now): x^2=\dfrac{1}{16}}[/tex]
[tex]\mathsf{Take\ your\ square\ root!}[/tex]
[tex]\mathsf{x=\pm\sqrt{\dfrac{1}{16}}}[/tex]
[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: x =0.25\ or\ x = -0.25}}}[/tex][tex]\boxed{\boxed{\checkmark}}[/tex]
[tex]\boxed{\boxed{\boxed{\mathsf{You\ could\ also\ say\ x= \dfrac{3}{12}\ or\ x=-\dfrac{3}{12}}}}}[/tex][tex]\boxed{\boxed{\boxed{\checkmark}}}[/tex]
[tex]\mathsf{Side\ note: that's\ when\ the\ plus\ or\ minus\ sign\ (\pm)\ came\ in\ handy!}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]