Answer:
dropped 20°F
Step-by-step explanation:
dropped 4°F = 1 hour
x 5
dropped 20°F= 5 hours
-3(5-x^2+2) multiply
Answer:
3 x ^2 − 21
Step-by-step explanation:
Answer:
3x²-21
Step-by-step explanation:
-3(5-x² +2)
combine like terms in the parenthesis (5 and 2=7)
-3(-x² +7)
distribute the 3 so multiply -3 and -x² and 3 and 7
-3(-x²) = 3x² because a double negative is a positive
-3(7) = -21 because a negative and positive is a negative
pen needs to be rectangular in shape however it will be built along a river side of the pen that does not need to be fenced. The farmer has a total of 700 feet of fence to build the pen. Determine the dimensions that will maximize area of the pen
Answer: The dimensions that will maximize area of the pen are 350 ft by 175 ft
Step-by-step explanation: The farmer has a total of 700 feet of fence for a rectangular pen which is in effect the perimeter. However, one side is by the river and would not need to be fenced. Hence we can determine that the perimeter would cover three sides only.
This means the sides would be in the ratio of 2 : 1 : 1
Hence, one side would be 2/4 and the other two sides would be 1/4 each
For the whole 700 meters of fencing, the sides can be calcualted as follows;
Length = 2/4 x 700
Length = 350
Width = 1/4 x 700
Width = 175
Therefore, with the length of fence available, the dimensions for the rectangular pen would be
Length = 350 ft
Width = 175 ft
Use the Pythagorean Theorem to prove that the three sides of the triangle are the three sides of a right triangle. Show all of your work.
2, 4, 2
Answer:
it’s not a right triangle
Step-by-step explanation:
2^2 + 2^2 = 8 < 4^2
What is the value of X I. The rhombus below?
A. 25
B. 43
C. 47
D. 21
Answer:
21
Step-by-step explanation:
For the high school basketball game, it costs $8 for every 4 tickets.
Complete the table below showing the cost and the number of tickets.
Answer:
there is no graph
Step-by-step explanation:
$8 16 24 32 40 48 56 64 72 80
---------------------------------------------------------------------------
4 8 12 16 20 24 28 32 36 40
Final answer:
The question is about calculating the costs associated with purchasing tickets, given a known rate of $8 for every 4 tickets. Using the formula cost equals 2 times the number of tickets, one can calculate the total cost for any number of tickets, maintaining a direct proportionality.
Explanation:
Finding Costs Based on Ticket Quantities
To determine the cost for a varying number of tickets given the rate of $8 for every 4 tickets, we can set up a proportional relationship where the cost (C) is related to the number of tickets (T) by the constant of proportionality 8/4, or 2. Therefore, C = 2T, which means that the cost is simply twice the number of tickets because 8 dollars are charged for every 4 tickets.
We can fill out the table using the formula C = 2T, where C represents the total cost and T represents the number of tickets:
For 4 tickets: C = 2(4) = $8
For 8 tickets (twice the initial quantity): C = 2(8) = $16
And so on, for each additional set of 4 tickets, we add another $8 to the cost.
If we were to complete the hypothetical table, for each additional 4 tickets, we would add $8 to the total cost, maintaining this direct proportionality.
Please help
Find the polynomial M if 2x^2− 1/3 ax+by−M=0.
Find the polynomial B if 3x^2y− 1/3 xy^3+cy+B=0.
The Y for the second equation is not an exponent.
Thank You
Answer:
M = 2x² - (ax/3) + by
B = - 3x²y + (xy³/3) - cy
Step-by-step explanation:
Equation 1 is
2x² - (1/3)ax + by - M = 0
M = 2x² - (ax/3) + by
Equation 2
3x²y - (1/3)xy³ + cy + B = 0
B = - 3x²y + (xy³/3) - cy
Hope this Helps!!!
Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : to hearts is 4:3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your answer.
Answer:
15 cakes can be decorated.
Step-by-step explanation:
Given:
Total number of shapes Liu has = 140
Ratio of shape of stars and hearts = 4 : 3
According to the question:
Each cake have 5 stars and 4 hearts.
Let the number of starts be "4x" and number of hearts be "3x" from the ratio.
Now,
⇒ [tex]4x+3x=140[/tex]
⇒ [tex]7x=140[/tex]
⇒ [tex]x=\frac{140}{7}[/tex]
⇒ [tex]x=20[/tex]
Number of stars = [tex]4x =4(20) =80[/tex]
Number of hearts = [tex]3x=3(20)=60[/tex]
Each cake have 5 stars and 4 hearts .
How many cakes can be decorated with 80 stars.
⇒ No.of cakes = Total number of stars / 5
⇒ [tex]C=\frac{80}{5}[/tex]
⇒ [tex]C=16[/tex]
How many cakes can be decorated with 60 hearts.
⇒ [tex]C=\frac{60}{4}[/tex]
⇒ [tex]C=15[/tex]
But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.
Liu can decorate 15 cakes and only.
Final answer:
Liu can decorate 15 cakes with the 140 shapes she has, given the ratio of stars to hearts and the number of each she wants to put on each cake.
Explanation:
Liu wants to decorate cakes with a total of 140 shapes, where the ratio of the number of stars to hearts is 4:3. To find out how many shapes there are of each type, we first need to determine how many groups of 4 stars and 3 hearts are in 140 shapes.
Total ratio parts = 4 (stars) + 3 (hearts) = 7 parts.
Total groups of shapes = 140 shapes ÷ 7 parts per group = 20 groups.
So, there are 20 groups of stars and 20 groups of hearts. Now, we need to find out how many of each shape there are:
Stars = 20 groups × 4 stars/group = 80 stars
Hearts = 20 groups × 3 hearts/group = 60 hearts
Liu wants to put 5 stars and 4 hearts on each cake. The number of cakes she can decorate is limited by the shape she has the least of, which is the hearts. Now, let's calculate:
Cakes decorated with hearts = 60 hearts ÷ 4 hearts/cake = 15 cakes
Therefore, Liu can decorate 15 cakes with 5 stars and 4 hearts each, since the hearts will run out after 15 cakes.
Select the option that best describes the relationship between the variables on the scatterplot... PLEASE HELP
Answer:
Negative, linear
Step-by-step explanation:
If you look at it, it is relatively in a line and the values are going down.
Answer:
Negative, linear association
Step-by-step explanation:
i know because i got it correct
Which one is right I'm giving all my pt
[tex]5^{3(x-2)} = 5^{3x - 6} = 5^{3x} 5^{-6} = 5^{-6} 5^{3x} = a 5^{3x}[/tex]
so
[tex]a = 5^{-6}[/tex]
Answer: 5⁻⁶ second choice
Which statement about population parameters and point estimates is false?
Answer: s is the population standard deviation. it is the square of the variance.
Step-by-step explanation:
i just did the quiz
Answer:
B
Step-by-step explanation:
A P E X
The circumference of a circle is 25 m. What is the area, in square meters?
Express your answer in terms of .
The area of a circle given its circumference is 49.48 m^2.
The circumference of a circle is 25 m.
Step-by-step:
Use the formula for circumference: Circumference = 2πr, where r is the radius.
Given Circumference = 25 m, then find the radius using the formula: 25 = 2πr.
Calculate the radius: r = 25 / (2π).
Once you find the radius, use the formula for the area of a circle:
Area = πr^2
= π * 25/2π * 25/2π
= 625/(4 * 3.14)
= 49.48 m^2
Therefore, the area of the circle is approximately 49.48 m^2.
An economy package of cups has 660 green cups. If the green cups are 30% of the total package, how many cups are in the package?
A. 690
B. 198
C. 2,200
D. 1,980
Is 7x and 5x are like terms
Answer:
Yes
Step-by-step explanation:
Think of x as apples
You have 7 apples and 5 apples you can mix them together and you have 12 apples and you would not be able to sort them apart
7x+5y are not like terms
You have 7 apples and 5 grapes. You can easily tell them apart.
Find the Center and Radius in the equation (x+3)2+(y+4)2=25
Answer:
(- 3, - 4 ) and r = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 3)² + (y + 4)² = 25 ← is in standard form
(x - (- 3))² + (y - (- 4))² = 5²
with centre = (- 3, - 4) and r = 5
Is the expression below linear or non-linear?
102x−14
Answer: linear stay safe have a good day and good luck
Step-by-step explanation:
If the temperature on the ground is 70 F then
Answer: try to (x) each one by the answer to -0.0035 +70
Step-by-step explanation:
Answer:
11000: 31.5 °F15000: 17.5 °F18000: 7 °FStep-by-step explanation:
When you have repetitive calculations to do, it is often convenient to let a calculator or spreadsheet do them for you.
Basically, put the value of "a" into the formula and do the arithmetic.
Example: for 11000 ft, -0.0035·11000 +70 = -38.5 +70 = 31.5
Sean wrote the equation 9.25 = 5m, where m is the cost per pound of pears, to show the relationship between the total cost and the number of pears he bought at Quick Mart.
What is the unit cost per pears? Write an equation.
Does this relationship represent a proportional relationship? Use a graph to prove it. Explain how the graph proves the situation is a proportional relationship.
Answer:
see the explanation
Step-by-step explanation:
The correct question is
Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
y ----> the total cost
x ---> the number of pounds of pears
In this problem we have a proportional relationship between the variables x and y
we have
[tex]9.25=5m[/tex]
where
m is the cost per pound of pears
That means
The value of m and the value of the constant k of proportionality is the same
Find the value of m
[tex]9.25=5m\\m=\$1.85\ per\ pound[/tex]
The linear equation is equal to
[tex]y=1.85x[/tex]
Construct the table
assume different values of x and determine the value of y
[tex]For\ x=0 ----> y=1.85(0)=0[/tex]
[tex]For\ x=1 ----> y=1.85(1)=1.85[/tex]
[tex]For\ x=2 ----> y=1.85(2)=3.70[/tex]
[tex]For\ x=3 ----> y=1.85(3)=5.55[/tex]
[tex]For\ x=4 ----> y=1.85(4)=7.4[/tex]
[tex]For\ x=5 ----> y=1.85(5)=9.25[/tex]
therefore
[tex]\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}[/tex]
using a graphing tool
The grahp in the attached figure
Final answer:
The unit cost per pound of pears is $1.85, found by dividing the total cost ($9.25) by the number of pounds (5). This represents a proportional relationship, as the graph of the equation y = 5x is a straight line through the origin, showing a constant ratio of total cost to pounds of pears.
Explanation:
The question regarding the equation 9.25 = 5m asks us to find the unit cost per pound of pears and determine whether the relationship represents a proportional relationship. To find the cost per pound, we simply need to divide both sides of the equation by 5. This gives us m = 9.25 / 5, which calculates to m = $1.85. Therefore, the unit cost per pound of pears is $1.85.
To test for a proportional relationship, we can graph the equation y = 5x, where 'y' is the total cost and 'x' is the number of pounds of pears. A proportional relationship is one where the ratio of y to x is constant, and the graph is a straight line through the origin. Since our equation represents a linear relationship that passes through the origin (0,0), it confirms that this is, indeed, a proportional relationship. The graph would show a straight line with a slope of 5, indicating that for every increase of 1 pound of pears, the cost increases by $5.
tom and adam have a total of 240 stamps.The ratio of the number of tom's stamps to adam's is 3:7.Tom buys some stamps from Adam.The ratio of tom's stamp to adam's is now 3:5.How many stamps does tom buy from adam
Answer:
18
Step-by-step explanation:
In both cases, the number remains constant, 240 stamps.
Given that 3:7 is equal to 3/10 to 7/10
Initially, Tom had 3/10*240=72 stamps
Finally, 3:5 equal to 3/8 to 5/8
Tom has 3/8*240=90 stamps
Difference is 90-72=18 stamps
Therefore, Tom bought 18 stamps from Adam and Adam didn't replace
Given the initial and new ratios of Tom's and Adam's stamps, and the total number of stamps they have, we can setup and solve an equation which reveals that Tom bought 48 stamps from Adam.
Explanation:This math question involves the concept of ratios and some algebra. Given that Tom and Adam initially had a total of 240 stamps between them in a ratio of 3:7, we can divide 240 by the total parts of their ratio (3 + 7 = 10 parts). So, one 'part' is 240 divided by 10, which equals 24.
Therefore, Tom initially had 3 parts i.e., 3*24 = 72 stamps while Adam had 7 parts i.e., 7*24 = 168 stamps.
After Tom buys some stamps from Adam, their ratio changes to 3:5. Let's denote the number of stamps Tom bought as x. Then, Tom would have 72 + x stamps, while Adam would have 168 - x stamps.
Since their ratio is now 3:5, we can set up an equation represented by (72 + x) / (168 - x) = 3 / 5. Solving this equation gives us x = 48.
So, Tom bought 48 stamps from Adam.
Learn more about Ratios here:https://brainly.com/question/32531170
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what is (-9x)+(-14x)=?
Answer:
-23x
Step-by-step explanation:
(-9x)+(-14x)
Combine like terms
Factor out the x
x (-9 + -14)
x (-23)
-23x
Answer:
-23x
Step-by-step explanation:
add -9 and -14
Solve for x. 2+x/9 = 4/6
Answer:Solve for x. 2+x/9 = 4/6
Step-by-step explanation:
Solve for x. 2+x/9 = 4/6
Drake has a beach ball with a diameter close to 12in. Find the volume of this beach ball!
Answer:
905 in^3
Step-by-step explanation:
formula is [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]
radius is 6
Which word best describes the degree of overlap between the two data sets?
low
moderate
none
high
Answer: In case of data set given with the question, the word that best describes the degree of overlap between the two data set is low
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
they always make some kind of angle usually 90 degress.
Determine the total number of roots of each polynomial function using the factored form.f (x) = (x - 6)2(x + 2)2
Answer:
4
Step-by-step explanation:
4
Answer:
Step-by-step explanation:
Brainlist
Hazel is walking a 5-kilometer race to raise money for a cause. She has walked 2,200 meters. How many more kilometers does she have left to walk?
Answer:
2.8 km
Step-by-step explanation:
2200 meters = 2200/1000 = 2.2 km
5 - 2.2 = 2.8 km
For the triangle shown, describe which sides are the legs and which are the hypotenuse. Explain how you know.
Answer:
legs: a and b
hypotenuse: c
Step-by-step explanation:
The legs of a right triangle are the two sides that intersect to determine the right angle. The remaining side is called the hypotenuse.
Answer:
a and b are the legs, and c is the hypotenuse
Step-by-step explanation:
The legs of a right triangle are always the sides that form the right angle. Looking at the picture, we see that at one corner of the triangle, there's a little square. Remember that this little square always denotes an angle with degree 90, which means this is the right angle. Then, since sides a and b form this angle, we know that a and b are the legs.
Another thing to remember is that the hypotenuse of a right triangle is the side that lies opposite to the right angle. Here, you can see that side c lies opposite to the right angle, so we know it's the hypotenuse.
Hope this helps!
Please helpp!!!
Jack is a software salesman. His base salary is $1200, and he makes an
additional $50 for every copy of software he sells.
Let P represent his total pay (in dollars), and let N represent the number of
copies of software he sells.
a) Write an equation relating P to N.
b) Use the equation from part a to find his total pay if he sells 24 copies of
software.
Answer:
Step-by-step explanation:
a) Jack's additional income = N * 50 = $ 50N
P = 1200 + 50N
b) N = 24 copies
P = 1200 + 50*24
= 1200 + 1200
P = $ 2400
PLEASE HELP I WILL MARK U AS BRAINLIEST
The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:
Step 1: 8 + 16x
Step 2: 4(4) + 4(12x)
Step 3: 4(4 + 12x)
Step 4: Dimensions of the rectangle are 4 and 4 + 12x
In which step did the student first make an error and what is the correct step?
1)
Step 3; 4 + (4 + 12x)
2)
Step 3; 4 + (4 ⋅ 12x)
3)
Step 2; 4(2) + 4(4x)
4)
Step 2; 4(2) + 4x(2)
Answer:
3
Step-by-step explanation:
If you divide 8 + 16x, you get 4(2) + 4(4x), not 4(4) + 4(12)
He subtracted instead of dividing.
4 is wrong because it says 4x(2). You are dividing by 4, not 4x
Answer:
The answer is 3
Step-by-step explanation:
Please mark me brainiest anybody and please like and rate 5 stars
solve for x 3(x + 4) = 21
Answer:
x=3
Step-by-step explanation:
3+4=7
3x7=21
Answer:
x=3
Step-by-step explanation:
3(x+4) = 21
3x+12 = 21
3x+ 12 = 21
-12 = + 12
3x = 9
3x = 9
[tex]\frac{3x}{3}[/tex] = [tex]\frac{9}{3}[/tex]
x = 3
While solving an equation for x lewis is left with the equation 2=4. Explain why lewis can be certain that the equation does not have a solution
Answer: You do not have x alone on one side, therefore, you can be certain the equation has no solution!!
Step-by-step explanation: In order for the equation to have a solution it must look like this:
x= and some number
Final answer:
Lewis can be certain there is no solution to the equation because ending up with '2=4' is a contradiction, and two distinct constants cannot be equal.
Explanation:
When solving an equation, if you simplify all the expressions and end up with a statement such as 2=4, this indicates that the equation does not have a solution. This situation is also known as a contradiction because 2 and 4 are distinct constants and cannot be equal. A step-by-step approach might include starting from the original equation, performing algebraic manipulations, and then arriving at an absurd conclusion, which tells us the equation has no solution.
In contrast, when solving quadratic equations, such as x² = 4, you might get valid solutions like √4=±2, which indicate a solution set of {-2, 2}. However, if your result contradicts a fundamental truth, like the equality 2=4, it's clear that the equation has no feasible solution within the realm of real numbers.