Answer:
Solution point is (-1,-9)
Step-by-step explanation:
Put the value of y in the first equation into the second equation.
2x + 5(3x - 5) = - 42 Remove the brackets on the left2x + 15x - 25 = - 42 Combine like terms on the left17x - 25 = - 42 Add 25 to both sides17x - 25 + 25 = - 42 + 25 Do the addition17x = - 17 Divide by 1717x/17 = -17/17 Do the divisionx = - 1=======
Solve for y
y = 3x - 6x = -1y = 3(-1) - 6y = -3 - 6y = - 9Paul took 42 mile bicycle trip. he bicycle 1 1/2 hours in the morning and two hours in the afternoon what is his average speed in miles per hour
Answer:
Paul's average speed for his bicycle trip is 12 miles/hour.
Step-by-step explanation:
Since Paul rode a total of 42 miles, we need to add up the total time it took him to complete all 42 miles. Since her rode 1.5 hours in the morning and another 2 hours in the afternoon, he rode a total of 3.5 hours. Speed is calculated by dividing distance by time. Since his total distance is 42 and his total time is 3.5, we divide 42 by 3.5 to get 12. Since our calculations included miles and hours, then our final answer would be 12 miles per hour.
It is worked out that 3 ladles full of soup each will feed 160 people.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?
Answer:if your still on it tell me
Step-by-step explanation:
By using the ratio and proportion method, it is calculated that 5 ladles of soup can feed 96 people.
Explanation:This problem can be solved using the ratio and proportion concept in Mathematics. Given that 3 ladles of soup feed 160 people, we can set up the ratio 3 ladles : 160 people. If the cook now provides 5 ladles, we need to know how many people this amount can feed. To find this, we cross-multiply in the ratio.
Calculating: (3 ladles x X people) = (160 people x 5 ladles), after simplifying we find that X = 96 people. This calculation suggests that the soup will now feed 96 people if each person is given 5 ladles of soup.
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Jason combined 1 1/4 ounces of strawberry preserve from a jar with 7/8 of an ounce of strawberry preserve as a part of individual dessert bowls.
Jason plans on using 1/5 of an ounce of strawberry preserve in each dessert bowl. How many dessert bowls can he completely fill?
Answer: 10 dessert bowls.
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Rewrite 1 1/4 ounces as a fraction:
[tex](4+1)/4=\frac{5}{4}[/tex]
2. You must add 5/4 ounces of strawberry preserve and 7/8 ounce of strawberry preserve, as following:
[tex]\frac{5}{4}ounces+\frac{7}{8}ounces=\frac{17}{8}ounces[/tex]
3. Now you must divide the result obtained by 1/5:
[tex]\frac{17}{8}[/tex]÷[tex]\frac{1}{5}=10.62[/tex]
4. Therefore, you can conclude that 10 dessert bowls can be completely fill.
Can anyone walk me through this?
Answer:
n = - 6
Step-by-step explanation:
divide both sides by 2
n + 5 = - 1 ( subtract 5 from both sides )
n = - 6
OR
distribute the parenthesis by the 2 outside
2n + 10 = - 2 ( subtract 10 from both sides )
2n = - 12 ( divide both sides by 2 )
n = - 6
if the correlation coefficient is 0.96, how confident can you be that your predicted value for the cost of a call at 70 minutes is close to the exact value for the cost of a call at 70 minutes?
Pick one of the options below and explain your answer?
Very confident
Somewhat confident
Not confident
Answer:
Very confident
Step-by-step explanation:
The closer the correlation coefficient is to 1, the stronger the correlation. Anything above .4 is relatively strong. So I would be very confident.
Simplify 2(a+5)−3(5a−4)
Answer:
[tex]-13a+22[/tex]
Step-by-step explanation:
we have
[tex]2(a+5)-3(5a-4)[/tex]
step 1
Apply the distributive property both terms
[tex]2a+2(5)-3(5a)+3(4)[/tex]
[tex]2a+10-15a+12[/tex]
step 2
Combine like terms
[tex](2a-15a)+(10+12)[/tex]
[tex](-13a)+(22)[/tex]
[tex]-13a+22[/tex]
Please help please !!!!!!!!!
Answer:
C
Step-by-step explanation:
Arrange them from smallest x value to largest x value, but keep the values the same.
Problem Page
Suppose we want to choose
2 letters, without replacement, from the
4 letters A, B, C, and D.
If order matters, then there are 12 ways to do this
If order does not matter, then there are 6 ways to do this
===========================================
We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from
If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6
To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)
In combinatorics, you can choose 2 letters from 4 (A, B, C, D) without replacement in 6 ways, according to the 'combination' principle in probability.
Explanation:The subject of this question is combinatorics, a topic in Mathematics, particularly probability. You are asked to choose 2 letters without replacement from a set of 4 different letters {A, B, C, D}. To do this, we can use the formula for combinations, which is denoted as nCr, where n is the total number and r is the number being chosen. In this case, we can see it as 4C2.
To execute this, the formula is ‘n! / [r!(n-r)!]’ where '!' denotes factorial, meaning you multiply all natural number up to that number. Hence, 4C2 = 4! / [2!(4-2)!]. Factorial 4 (4!) = 4 * 3 * 2 *1 = 24. Factorial 2 (2!) is simply 2 * 1 = 2. Thus the calculation becomes 24 / [2*(2!)], simplifying to 24 / 4 which equals 6. So, there are 6 ways to choose 2 letters from 4 without replacement.
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d (e-f) =g how to solve f
[tex]d(e-f)=g\\e-f=\frac{g}{d} \\e-\frac{g}{d}=f[/tex]
Steps:
Divide by D
Add F
Subtract g/d
Answer:
f = -g/d +e
Step-by-step explanation:
d (e-f) =g
Divide each side by d
d/d (e-f) =g /d
(e-f) =g /d
Subtract e from each side
e-e-f = g/d -e
-f = g/d -e
Multiply by -1
*-1 (-f) = -1(g/d -e)
f = -g/d +e
What is the slope of y = (2/3)x?
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = [tex]\frac{2}{3}[/tex] x is in this form
with slope m = [tex]\frac{2}{3}[/tex] and c = 0
Student A completed an equation with variables on both sides. Did the student correctly solve the following equation? Describe and correct the error in solving the equation below. 5c−6=4−3c 2c−6=4 2c=10 c=5 NEED HELP ASAP !!!
Answer: Student A did not correctly solve the equation because they subtracted 3c to 5c instead of added.
Can someone help me find the value of x?
Answer:
x=71
Step-by-step explanation:
Since this is an isosceles triangle the bottom 2 angles are equal.
The three angles of the triangle are x, x, and 38. They must add to 180 degrees
x+x+38 = 180
Combine like terms
2x+38=180
Subtract 38 from each side
2x+38-38 = 180-38
2x = 142
Divide each side by 2
2x/2 =142/2
x =71
Show how 7000÷1000 is the same as 7000÷10÷10÷10
Answer:
it is because 10 times 100 is 1000 so it would be the same thing
Step-by-step explanation:
Kate uses 2 packets of milk powder per day how many days will 1/3 of a packet of milk powder last.
To find out how many days 1/3 of a packet of milk powder will last, divide 1/3 by 2 to get 1/6 of a day.
Explanation:To find out how many days 1/3 of a packet of milk powder will last, we can use the information given. Kate uses 2 packets of milk powder per day. This means in one day, she uses 2 packets. So, in order to calculate how many days 1/3 of a packet will last, we need to divide 1/3 by 2. This gives us 1/6.
Therefore, 1/3 of a packet will last 1/6 of a day.
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1/3 of a packet of milk powder will last 1/6 of a day, or 4 hours, for Kate who uses 2 packets of milk powder per day.
If Kate uses 2 packets of milk powder per day, to determine how many days 1/3 of a packet of milk powder will last, you can perform a simple division. Since she uses 2 packets per day, you would divide the amount she has, 1/3 of a packet, by her daily usage, which is 2 packets. Therefore:
1/3 packets / (2 packets/day) = (1/3) / 2 days = 1/6 days
Thus, 1/3 of a packet of milk powder would last for 1/6 of a day. To determine the number of hours this represents, you can multiply 1/6 of a day by the number of hours in a day:
(1/6 day) times (24 hours/day) = 4 hours
Therefore, 1/3 of a packet of milk powder will last for 4 hours based on her current usage.
HELP!!!!!!!
The total sale price for purchase at one store is $268.97. The total sale price at another store is $240.95. You have an additional 10% off coupon for the second store for purchases over $200.00. How much more would you save by shopping at the second store
Answer:
you save $52.11 by shopping at the second store
Step-by-step explanation:
The total sale price at the second store is $240.95.
additional 10% off coupon for the second store for purchases over $200.00
10% discount on sale price is 240.95 * 10%
[tex]240.95 * \frac{10}{100} = 24.095[/tex]
Total sale price after 10% discount =240.95 - 24.095=$216.86
First store sale price = $268.97
second store sale price = $216.86
Difference = 268.97 - 216.86 = 52.11
you save $52.11 by shopping at the second store
Below is the graph of f(x)=2In(x). How would you describe the graph of g(x)=4In(x)?
The statement which best describes the graph of g(x) is:
Option: A
A. g(x) stretches f(x) vertically by a factor of 2.
Step-by-step explanation:We are given a original function f(x) as:
[tex]f(x)=2\ln x[/tex]
and a transformed function g(x) as:
[tex]g(x)=4\ln x[/tex]
We know that any transformation of the type:
f(x) to a f(x) is a vertical stretch by a factor of a if a>1
and a vertical compression if a<1
Here we have:
[tex]g(x)=2\times (2\ln x)\\\\i.e.\\\\g(x)=2f(x)[/tex]
i.e. g(x) is a vertical stretch of f(x) by a factor of 2.
There are 20% more goblins thank wizards in the magic club. There are 120 goblins in magic club. How many wizards are in magic club?
Answer:
There are 10 wizards in the magic club.
Step-by-step explanation:
if 6/5 (or 20% more) is how many goblins in comparison to wizards, there are 120/6 or 20=1/5. 5/5 is how many wizards there are so: 5*20=100 wizards
Please help! I'm geting the wrong answer and i don't know why
8(x + 1) - 3(x + 4) = 7(2 - x)
I need help answering this please
Answer: Choice D) ordered pair is not a solution to the second equation
We can see this by replacing x and y with 1 and -4 respectively
2x + y = 4
2*1 + y = 4 .... replace x with 1
2*1 + (-4) = 4 ... replace y with -4
2 - 4 = 4
-2 = 4 .... this equation is false because -2 and 4 are different values
The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4
A solution to the system must make BOTH equations true simultaneously, not just one.
Answer:
D
Step-by-step explanation:
2x + y = 4
If you substitute x = 1, and y = -4, then
2(1) - 4 = 2 - 4 = -2 not 4
Patrick saved $500. He received 25% of the money for his birthday, saved 30% of the remainder for his allowance, and earned the rest of it by mowing laws. How much of his savings did he earn by mowing laws?
Answer:
Patrick earned $262.50 by mowing lawns
Step-by-step explanation:
500*0.75=375
375*.7=262.5
Answer:
$262.50
Step-by-step explanation:
It is a poorly worded question.
25 Percent of the 500 was from his birthday money.
500 * .25 = 125
That leaves 500-125 = 375
He saved 30 % of the 375 from his allowance
375 * .3 =112.50
375-112.50 =262.50
The rest is from mowing lawns.
ASAP
It is worked out that 3 ladles full of soup each will feed 150 people.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup?
I only have one shot at this question and the answer is not 800
Answer: 90 people
Step-by-step explanation:
3 ladles per person = 150 people x 3
= 450 ladles full
450 ladles full = 5 ladles per one person = 450/5 = 90 people
write a real world problem that involves determining the distance between two points on a coordinate plane that have the same x coordinate
Answer: sir or ms your anwser would be C 98. hope this helps ;)
Step-by-step explanation:
Lee needed to make Drapes the length from the floor to the top of the window the wall beneath the window had the height of 2 2/3 feet and the height of just the window measured 2 3/4 feet how long do the Drapes have to be
Answer: 5 feet 5 inches
Step-by-step explanation:
2 2/3 + 2 3/4 is equal to 5 5/12 so the drapes will be 5 5/12 feet long (or 5 feet 5 inches)
Answer:
The length of the drapes have to be [tex]5\frac{5}{12}\ ft[/tex]
Step-by-step explanation:
Given : Lee needed to make Drapes the length from the floor to the top of the window the wall beneath the window had the height of [tex]2\frac{2}{3}[/tex] feet and the height of just the window measured [tex]2\frac{3}{4}[/tex] feet.
To find : How long do the Drapes have to be?
Solution :
The height of the wall beneath the window is [tex]2\frac{2}{3}=\frac{8}{3}\ ft[/tex]
The height of the window is [tex]2\frac{3}{4}=\frac{11}{4}\ ft[/tex]
The total height from the floor to the top of the window is
[tex]H=\frac{8}{3}+\frac{11}{4}[/tex]
[tex]H=\frac{32+33}{12}[/tex]
[tex]H=\frac{65}{12}[/tex]
[tex]H=5\frac{5}{12}\ ft[/tex]
Therefore, The length of the drapes have to be [tex]5\frac{5}{12}\ ft[/tex]
Can someone nice enough help me ASAP this is 5th Grade Math!
Hello from MrBillDoesMath!
Answer:
"He plans to sell the carrots for $5 per bunch..." is not needed
Discussion:
The question asked is "About how many bunches will the farmer make? The text "He plans to sell the carrots for $5 per bunch..." is not needed as it does not relate to the question asked.
Regards,
MrB
Answer:
He plans to sell the carrots for $5 per bunch is not needed and around 313 bunches can be made
Step-by-step explanation:
What is the slope of the line that passes through the points? (-4,4), (3,2)?
Hi there!
Step-by-step explanation:
[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{2-4}{3-(-4)}=\frac{-2}{7}[/tex]
Slope is -2/7
Final answer is -2/7.
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thank you! :)
:D
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 4) and (3, 2). Substitute:
[tex]m=\dfrac{2-4}{3-(-4)}=\dfrac{-2}{3+4}=-\dfrac{2}{7}[/tex]
Answer: The slope is - 2/7.Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
Answer: 11.88
Step-by-step explanation: First You Add 8.09 then you add 3.79 Therefore your answer is 11.88
Hope This Helps You Ace Your Test
Answer:
$70.77
Step-by-step explanation:
Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:
Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:
We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77
Negative six to the second power times negative six to the fifth power
Answer:
Step-by-step explanation:
The awnser is -279936
Answer:
6^7 = 279936
Step-by-step explanation:
(-6) ^ 2 * (6) ^5
We can take the negative outside
(-1) ^2 (6)^2 (6)^5
When the base is the same, we can add the exponents
(-1)^2 * 6^ (2+5)
(-1)^2 6^7
Negative 1 squared is (-1)*(-1) = 1
6^7
279936
rectangle r was dilated to form rectangle r what is the scale factor for the dilation
Answer: The scale factor of the dilation is C. 5/2
Step-by-step explanation:
How do I use elimination for the equations-x+5y=20 and 12y= 2x+ 60?
[tex]\left\{\begin{array}{ccc}-x+5y=20\\12y=2x+60&\text{subtract 2x from both sides}\end{array}\right\\\left\{\begin{array}{ccc}-x+5y=20\\-2x+12y=60&\text{divide both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+5y=20\\x-6y=-30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=-10\to\boxed{y=10}\\\\\text{Put the value of y to the second equation:}\\\\x-6(10)=-30\\x-60=-30\qquad\text{add 60 to both sides}\\\boxed{x=30}\\\\Answer:\ \boxed{x=30\ and\ y=10\to(30,\ 10)}[/tex]
Transformation that produces an image that is the same shape but different size?
Answer:
Transformation that produces an image that is the same shape but different size is known as Dilation.
Step-by-step explanation:
There are many types of translations.
1. Rotation
2. Reflection
3. Translation
4. Dilation
We know that rotation, reflection and translation are rigid transformation. It means these transformation can not effect the size of the preimage.
Dilation represents the enlargement and compression of the figure according to the scale factor k.
If |k|>1, then it represent enlargement and if |k|<1, then it represent compression.
Therefore the transformation that produces an image that is the same shape but different size is known as Dilation.