Answer:
Area = 1/2 *base * height
24 = 1/2 * b* 4
24 = 2b
b= 12cm
The owner of a pet food store wants to mix birdseed that cost $1.25 per pound with sunflower seeds that cost $0.75 per pound to make 50 pounds of a mixture that cost one dollar per pound how many pounds of each type of sea should he use
If the owner of a pet food store wants to mix birdseed that cost $1.25 per pound with sunflower seeds that cost $0.75 . The number of pounds of each type of sea he should use is: 25 pounds of $1.25 birdseed and 25 pounds of $.75 sunflower seed.
How to find the number of pounds?Let x represent the number of pounds of $1.25 birdseed that is is used
1.25x+.75(50-x)=50×1
1.25x+37.5-.75x=50
Combine like terms
.50x=50-37.5
.50x=12.5
Divide both side by .50x
x=12.5/.5
x=25 pounds of $1.25 birdseed
So,
50-25=25 pounds of $.75 sunflower seed
Therefore the number of pounds is $1.25 birdseed and $.75 sunflower.
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a gym class has $12$ students, $6$ girls and $6$ boys. the teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a soccer tournament. if the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys? (jerseys of the same color are indistinguishable.)
So, the teacher can give out the jerseys in 840 ways.
The teacher wants to divide the 12 students into 3 teams, each with at least one girl and one boy.
One possible way to count the number of ways to divide the students is to use the stars and bars method.
For the first team, we have 5 stars and 2 bars, so the number of ways to pick 6 students is:
(5+2)!/(5!2!) = 7
For the second team, we have 4 stars and 1 bar, so the number of ways to pick 6 students is:
(4+1)!/(4!1!) = 5
For the third team, we have 3 stars, so the number of ways to pick 6 students is:
(3+0)!/(3!0!) = 4
Then we can multiply the number of ways to pick students for each team together to find the total number of ways to divide the students:
7 * 5 * 4 = 140
Then, as the jerseys are indistinguishable, we just have to multiply the number of ways to divide the students by the number of ways to distribute jerseys:
140 * 3! = 840
Therefore, the teacher can give out the jerseys in 840 ways.
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List five vectors in Span {v1,v2}. Do not make a sketch.v1=6 4 −8v2=−6 2 0
The five vectors in span {v1,v2} are we first multiply each vector component (x, y, and z) of v1 and v2 by a constant and then add them together.
1. v3 = (3v1 + 2v2) = (18 8 −16)
2. v4 = (2v1 + 3v2) = (−12 6 0)
3. v5 = (4v1 + v2) = (0 6 −32)
4. v6 = (−2v1 + 5v2) = (36 10 0)
5. v7 = (−v1 + 4v2) = (−36 8 0)
To calculate the vectors, we first multiply each vector component (x, y, and z) of v1 and v2 by a constant and then add them together. For example, for v3 we multiplied v1 by 3 and v2 by 2 and then added the components together to get the vector (18 8 −16). We performed similar calculations for the other vectors.
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Evaluate
2a + 16
3b
when a = 3 and b = -2
Answer:
2a + 16
2(3) + 16
6 + 16 = 22
3b
3(-2) = -6
Step-by-step explanation:
Substitue the appropriate values into the expressions.
A cell phone plan cost $27.70 per month for 500 minutes of talk time. It cost an additional $0.08 per minute for each minute over 500 minutes. To get email access, it cost 30% of the price for 500 minutes of talk time. Your bill, which includes email, is the same each month for 9 months. The total cost for all 9 months is $367.29. Write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
567 minutes each month.
Step-by-step explanation:
Let x be the number of minutes of talk time used each month.
The cost for talk time beyond 500 minutes is $0.08 * (x - 500)
The cost for email is $27.70 * 0.3 = $8.31
The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99
The total cost for 9 months is $35.99 * 9 = $323.91
So we can set up the equation:
$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29
Solving for x, we get:
x = 567
So the number of minutes of talk time used each month is 567 minutes.
A cloud is drifting across the sky at 552metersperminute. it is at an altitude of 9,200 meters. if its speed remains steady, how far will the cloud move in 17.5minutes?
The cloud can ascend 9,616 metres in 17.5 minutes, based on the statement made.
How is altitude measured and what does it mean?Utilizing the measurement of air pressure, altitude may be calculated. The pressure decreases with increasing altitude. An instrument is referred to as a pressure analyzer or pneumatic altimeter when a barometer is given a nonlinear calibration to display altitude.
This may be calculated by dividing the cloud's speed (552 metres per minutes) by the distance it must travel (17.5 minutes). We now know the distance to be 9,616 meters.
The speed of said cloud and the length of time it is going are four pieces of information that must be known in order to determine the minimum distance the cloud might cover in 17.5 minutes. We must increase the cloud's stated speed of 552 meters a minute by the distance it is going across, which in itself is 17.5 minutes. As a result, we now have 9,616 meters overall.
Another way to see this is to picture the cloud beginning at place A (9,200 meters) or terminating at point B. (9,616 meters). The distance between points A and B will be covered in 17.5 minutes if the cloud is moving at a pace of 552 meters per minute.
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if justin randomly chooses his ride in the morning and in the evening, what is the probability that he'll use both the bus and the train?
The probability that he'll use both the bus and the train is 0.2222
What is probability and example?
Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
There are just two ways in which Justin use both the bus and the train on the same day:
1. He used bus in the morning and train in the evening
2. He used train in the morning and bus in the evening
Additionally, every day he has 9 possible ways to used the transportation, 3 in the morning multiply by 3 in the evening. This is:
3 * 3 = 9
p= 0.222
So, the probability is calculate as a division between the possible ways in which he use both transportations and the total possible ways. This is:
p=0.222
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ASSUME THAT 13% OF PEOPLE ARE LEFTHANDED, IF WE RANDOMLY SELECT 12 PEOPLE FROM THIS POPULATION, WHAT IS THE PROBABILITY THAT THEY ARE NOT ALL RIGHT HANDED
It is simpler to compute the likelihood of the complement event when calculating probabilities since you can then just subtract it from 1 to determine the probability.
What do probability and example mean?the variety of strategies for success. all events that could possibly occur.
Since 13% of people are lefties and 87% are righties, we'll assume that everyone is either a righty or a lefty, thus the decimal percentage of 0.87 divided by the total number of participants, 12, is the mean.
P(Right handed) = 1 - 0.13 = 0.87 where P(Left handed) = 0.13 and P(Right handed) = 0.13 12 people make up the nth number. The binomial probability distribution will be used in this case, and it can be computed using the formula P(X = n|N,p) = NCn*(pn)*(1-p) (N-n).
where p is the chance of success and n is the sample size, or 12, in this case. Additionally, q represents the 0.13 failure chance.
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P(Right handed) = 1 - 0.13 = 0.87 where P(Left handed) = 0.13 and P(Right handed) = 0.13 12 people make up the nth number. It is simpler to compute the likelihood of the complement event when calculating probabilities.
What do probability and example mean?the variety of strategies for success. all events that could possibly occur.
Since 13% of people are lefties and 87% are righties, we'll assume that everyone is either a righty or a lefty, thus the decimal percentage of 0.87 divided by the total number of participants, 12, is the mean.
P(Right handed) = 1 - 0.13 = 0.87 where P(Left handed) = 0.13 and P(Right handed) = 0.13 12 people make up the nth number. The binomial probability distribution will be used in this case, and it can be computed using the formula P(X = n|N,p) = NCn*(pn)*(1-p) (N-n).
where p is the chance of success and n is the sample size, or 12, in this case. Additionally, q represents the 0.13 failure chance.
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22/3 times x = 1.6 divided by 6/11
PLS HELP
[tex]\cfrac{22}{3}x=\cfrac{1.6}{~~ \frac{6 }{11 } ~~}\implies \cfrac{22x}{3}=\cfrac{\frac{16}{10}}{~~ \frac{6 }{11 } ~~}\implies \cfrac{22x}{3}=\cfrac{16}{10}\cdot \cfrac{11}{6}\implies \cfrac{22x}{3}=\cfrac{8}{5}\cdot \cfrac{11}{6}[/tex]
[tex]\cfrac{22x}{3}=\cfrac{8}{6}\cdot \cfrac{11}{5}\implies \cfrac{22x}{3}=\cfrac{4}{3}\cdot \cfrac{11}{5}\implies \cfrac{22x}{3}=\cfrac{44}{15} \\\\\\ \stackrel{\textit{multiplying boths sides by }\stackrel{LCD}{15}}{15\left( \cfrac{22x}{3} \right)=15\left( \cfrac{44}{15} \right)}\implies 110x=44\implies x=\cfrac{44}{110}\implies \boxed{x=\cfrac{2}{5}}[/tex]
6 × x × у im a bit stuck help xx
Answer:
6x^2y
Solution
6x2 y
Step-by-step explanation:
hopefully this helped.bye:)
A 2-pound bag of carrots costs $6.40. What is the price per ounce?
5x+6=7x-6
Please help
Answer:
x = 6
Step-by-step explanation:
5x+6=7x-6
-6 -6
--------------------
5x = 7x - 12
-7x -7x
--------------------
-2x = -12
------------
-2 -2
--------------------
x = 6
Answer:
6
Step-by-step explanation:
first we combine like terms
6+6=7x-5x
then we simplify
12=2x
lastly we divide both sides by 2
2x ÷2=12÷2
an we simplify again
x=6
then the value of x is 6
check
5(6)+6=7(6)-6
30+6=42-6
36=36
How do I find the area of this hexagon
The area of this hexagon is 374.4 in².
What is the area of the hexagon?
The area of the hexagon is calculated by applying the following formula.
total area of the regular hexagon = 6 x area of one face
Area of one face = ¹/₂bh
where;
b is the base of the triangleh is the height of the triangleArea of one face = ¹/₂ x ( 12 in ) x ( 10.4 in )
Area of one face = 62.4 in²
Total area of the hexagon = ( 6 ) x ( 62.4 in² ) = 374.4 in²
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suppose that you draw a card from a standard deck of cards. what is the probability that the card is a face card (i.e., a jack, queen, or king) or a heart?
The probability that the card is a face card (i.e., a jack, queen, or king) or a heart is 8/13
In the given question, suppose that you draw a card from a standard deck of cards.
We have to find the probability that the card is a face card (i.e., a jack, queen, or king) or a heart.
As we know that in a deck of cards have total 52 cards.
In which 26 cards are in heart shape.
Every different type of card have 3 face cards and have total four different type of cards. That means there are total 12 face cards.
In 26 cards of heart have total 6 face cards.
So, the probability that the card is a face card (i.e., a jack, queen, or king) or a heart
P = (Total face cards + total heart shape card - 6 face cards)/Total cards in a deck
P = (12 + 26 - 6)/52
P = (38 - 6)/52
P = 32/52
P = 8/13
Hence, the probability that the card is a face card (i.e., a jack, queen, or king) or a heart is 8/13.
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Points A, B, C, D, E, F and G are on a number line such that B, C, D, E and F divide segment AG into 6 equal pieces. If A is at 13 and G is at 59, what is the sum of the numbers at B, C, D, E and F
The sum of numbers at B, C, D, E and F is 110.5
Since B, C, D, E, and F divide the segment AG into 6 equal pieces, each piece has a length of (59-13)/6 = 6.5.
Therefore, the numbers at B, C, D, E, and F are located at 13 + 6.5, 13 + 6.52, 13 + 6.53, 13 + 6.54, and 13 + 6.55 respectively.
The sum of the numbers at B, C, D, E and F is (13 + 6.5) + (13 + 6.52) + (13 + 6.53) + (13 + 6.54) + (13 + 6.55)
= 13 + 6.5*(1+2+3+4+5) = 13 + 6.5*15 = 13 + 97.5
= 110.5
In Maths, number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
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Cuál es la raíz cuadrada de 169
El número natural 169 tiene como raíz cuadrada igual a 13.
¿Cómo encontrar la raíz cuadrada de un número entero?Los números naturales comprenden a un conjunto discreto conformado por los números {1, 2, 3, 4, 5, ..., n, ...}, n ∈ N, donde N es el conjunto de los números naturales.
Los números naturales pueden ser números primos o números compuestos, los números compuestos pueden ser definidos como un producto de números primos. El número natural 169 es equivalente al siguiente producto de números primos:
169 = 13 × 13 = 13²
En consecuecia, la raíz cuadrada del número natural 169 es la siguiente: (nótese que la potencia al cuadrado es el opuesto a la raíz cuadrada)
x = √169
x = √(13²)
x = (13²)^(1 / 2)
x = 13
La raíz cuadrada del número natural 169 es igual a 13.
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Determine the value of x using a trigonometric ratio. Question 9 options: A) 4.98 B) 4.18 C) 10.11 D) 8.49
Using the trigonometric ratios the correct option is option a) 4.98.
We have a known hypotenuse, but an unknown opposite side. Use the sine ratio to tie the two together to be able to solve for x.
Trigonometric ratios are a set of ratios that relate the angles of a right triangle to the lengths of its sides. The most commonly used trigonometric ratios are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.
These ratios can be used to find missing side lengths or angle measures in a right triangle, and they have many applications in mathematics, physics, engineering, and other fields.
sin(angle) = opposite/hypotenuse
sin(50) = x/6.5
6.5*sin(50) = x
x = 6.5*sin(50)
x = 4.97928888027336, make sure your calculator is in degree mode
x = 4.98
Therefore, Using the trigonometric ratios the correct option is option a) 4.98.
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3x − (2x² +1 − 8x) − (3x − 2x² + 7)
Answer: The answer is 5x
Answer: x=1
Step-by-step explanation:
=3x-[tex]2x^{2}[/tex]-1+8x-3x+[tex]2x^{2}[/tex]-7
= -1+8x-7
= -8=-8x
X=1
For each sequence find the first 4 terms and the 10th term.
A)n^2+6
B)3n^2
The first 4 terms and the 10th term of the sequences are listed below
How to determine the terms of the sequenceFrom the question, we have the following parameters that can be used in our computation:
Calculate the first 4 terms and the 10th term.
A)n^2+6
Here, we have
First = 1^2 + 6 = 7
Second = 2^2 + 6 = 10
Third = 3^2 + 6 = 15
Fourth = 4^2 + 6 = 24
Tenth = 10^2 + 6 = 106
B)3n^2
Here, we have
First = 3 * 1^2 = 3
Second = 3 * 2^2 = 12
Third = 3 * 3^2 = 27
Fourth = 3 * 4^2 = 48
Tenth = 3 * 10^2 = 300
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I need help with this
Answer:
12
Step-by-step explanation:
Draw a horizontal line that splits the hexagon in half
x = 180 - measure of a angle in the pentagon - half of the angle in the hexagon
x = 180 - 540/5 - 1/2*(720/6)
x = 180 - 108 - 60 = 180 - 168 = 12
Hope this helps :)
Have a great day
Helllllp please thank you
Step-by-step explanation:
A no
n + 7 = 16
n + 7 - 7 = 16 - 7
n = 9
that is not n = 15
B yes
(2/3)v = 8
3×(2/3)v = 3×8
2v = 24
2v/2 = 24/2
v = 12
C no
6z = 84
6z/6 = 84/6
z = 14
that is not z = 8
PLEASE HELP!!!!!! NEED ONLY RIGHT ANSWER!!!!!
Answer: because the mean is 48
Step-by-step explanation:
the average (mean) is 48 so therefore its reasonable that half scored under half scored higher
03.06 LC)
Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse axis and values of a = 7 and b = 10?
The standard equation of hyperbola centered at the origin with the given values is x^2 / 49 - y^2 / 100 = 1 .
What is Hyperbola ?
a plane curve generated by a factor so moving that the difference of the distances from two constant points is a consistent : a curve formed by way of the intersection of a double right circular cone with a plane that cuts each halves of the cone.
Given,
The standard equation of the hyperbola centered at the origin with given values a=7 and b=10 .
[(x2 / a2) – (y2 / b2)] = 1.
vertical axis with values a = 7 and b=10 .
[(x2 / a2) – (y2 / b2)] = 1.
(x^2 / 7*7) - ( y^2/ 10*10) = 1
x^2 / 49 - y^2 / 100 = 1
Hence , the standard equation of hyperbola centered at the origin with the given values is x^2 / 49 - y^2 / 100 = 1 .
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the area of a square is increasing at a rate of 28 square centimeters per minute. at the time when the side length of the square is 6, what is the rate of change of the perimeter of the square? round your answer to three decimal places (if necessary).
The rate of change of the perimeter of the square is 11.2 cm/min when the side length is 6 cm.
Step 1: The area of a square is A = s2, where s is the side length.
Step 2: The rate of change of the area of the square is 28 cm2/min.
Step 3: The perimeter of the square is
P = 4s.
Step 4: Substitute s = 6 into the equation for P to get
P = 24 cm.
Step 5: Differentiate P with respect to time to get the rate of change of
the perimeter:
dP/dt = 4ds/dt.
Step 6: Substitute the rate of change of the area (dA/dt = 28 cm2/min) into the equation for dP/dt to get dP/dt = 4(28 cm2/min)/dt.
Step 7: Simplify the equation to get
dP/dt = 112 cm/min.
Conclusion: The rate of change of the perimeter of the square is 112 cm/min when the side length is 6 cm
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bags of clementines have 12 each. for a party, sal, trisha, and joe each brought bags of clementines. altogether, there were 180 clementines. sal brought 4 bags and joe brought 6. write the equation to determine how many bags trisha brought, t.(2 points)
The equation to determine how many bags Trisha brought is: T = 180 - (4 + 6)
We know that the total number of clementines is 180, Sal brought 4 bags and Joe brought 6. To determine how many bags Trisha brought, we need to determine the total number of bags that Sal and Joe brought together. We can do this by combining the two numbers together (4 + 6). This will give us a total of 10 bags. To determine how many bags Trisha brought, we need to subtract the total number of bags that Sal and Joe brought (10) from the total number of clementines (180). This gives us an answer of 170. This means that Trisha brought 170 clementines, or 7 bags. Therefore, the equation to determine how many bags Trisha brought is: T = 180 - (4 + 6).
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How do I solve this?
The evaluation of the piecewise function gives:
when x = -3, f(x) = -4; when x = 2, f(x) = 0; and when x = 4, f(x) = 2.
when x = -3, w(x) = 2; when x = 2, f(x) = 5; and when x = 4, f(x) = 5
How to evaluate a piecewise function?A piecewise function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.
We want to evaluate the piecewise function when x = -3, x =2 and x = 4:
{ -4, x < 2
f(x) = { x-2, -2 ≤ x≤ 4
{0 x > 4
when x = -3:
f(x) = -4 because x < 2 (i.e. -3 < 2)
when x = 2:
f(x) = x-2
f(2) = 2-2 = 0
when x = 4:
f(x) = x-2
f(2) = 4-2 = 2
{ -x - 1, x ≤ -3
w(x) = { 2x + 2, -3 < x < 2
{5, x ≥ 2
when x = -3:
w(x) = -x - 1
w(-3) = -(-3) - 1 = 2
when x = 2:
f(x) = 5
when x = 4:
f(x) = 5
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ft.
2. A slow-moving bug is climbing a 15 ft. pole to reach a critical food source. It manages to climb 3
each day, but at night it slides back down 1 ft. How many days will it take the bug to reach the top and
get the food?
Step-by-step explanation:
a0 = 0 ft (starting on the ground)
a1 = a0 + 3 - 1 = a0 + 2
an = an-1 + 3 - 1 if an-1 +3 < 15
an = an-1 + 3 if an-1 + 3 >= 15
so, we need to find the n, so that
an = an-1 + 2 >= 12
but by looking at the structure, we see that every step just adds 2 ft to the total height.
an = a0 + 2n = 0 + 2n = 2n
2n >= 12
n >= 6
so, with day 6 the bug reaches 12 ft height. in day 7 it gets up to 15 ft and reached its goal.
it will take 7 days for the bug to reach the top and get the food.
Sally makes a fruit drink by mixing pineapple juice and mango juice in the ratio 2:3
She buys pineapple juice in 1.5 litre cartons that cost 1.30 each.
She buys mango juice in 1 litre cartons.
The cartons are only sold in packs of 4 which cost 3.20.
Sally makes 60 litres of her fruit drink for a party.
At the party she fills 190 cups and sells all of them for 50p per cup.
Work out how much profit she makes.
6
Step-by-step explanation:
um7
A photographer prints an 8x10 team photo. The team would like to get it blown up by 200% in order to display it in the trophy case. What will be the new dimensions of the photo?
Answer:
16x20
Step-by-step explanation:
I think, 200% likely means x2. Just an idea, try it if you'd like!
√2x+5=5 then the value of x
Answer:
x = 0Step-by-step explanation:
√2x + 5 = 5
-5 - 5
√2x = 0
√2x^2=0^2
2x=0
2x/2 = 0/2
x = 0[tex]\huge\red{ANSWER}[/tex]
[tex]\sf \sqrt{2} x+5=5[/tex]
[tex]\sf \sqrt{2} x=5-5[/tex]
[tex]\sf \sqrt{2} x = 0[/tex]
[tex]\sf \frac{\sqrt{2} x }{2}=0[/tex]
[tex]\sf x=0[/tex]
________......
[tex]\pmb{ \orange{LearningLifeII}}[/tex]
