Answer:
.35 x + .70 (20) = .45(x+20)
50=x
Step-by-step explanation:
Let x = liters of 35% salt solution
We have 20 liters of 70%
We have a total of 20+x liters of 45%
.35 x + .70 (20) = .45(x+20)
Distribute
.35x + 14 = .45x +9
Subtract .35x from each side
14 = .10x +9
Subtract 9 from each side
5 = .10x
Divide each side by .1
5/.1 = x
50=x
Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.
Answer:
The coordinates of the point Q is (4, 1)
Step-by-step explanation:
The given parameters are;
The directed line segment extends from R(-2, 4), to S(18, -6)
The ratio in which the point Q partitions the directed line segment = 3:7
Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS
Which gives;
(-2 + (18-(-2))×3/10, 4 +(-6 -4)×3/10) which is (4, 1)
The coordinates of the point Q = (4, 1)
We check the length from R to S is given by the relation for length as follows
[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
R(-2, 4) = (x₁, y₁)
S(18, -6) = (x₂, y₂)
Length of segment RS = 22.36
length from R to Q = 6.7086
We check RQ/RS = 6.7082/22.36 = 0.3
Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7
The coordinates of the point Q = (4, 1).
this one from maths pls help
Answer:
The total amount left by Manavi and Kuber is: (1) 399
Step-by-step explanation:
Manavi
saving account + amount spent at the mall: 1/'2 + 1/4 = 3/4
left over: 1 - 3/4 = 4-3/4 = 1/4
1260 ( 1/4) = 315
The total leftover for Manavi is Rs.315.
Now do the same steps with Kuber.
Kuber
saving account + amount spent at the mall: 1/3+ 3/5 = 14/15
left over: 1- 14/15 = 15-14/15 = 1/15
1260 (1/15) = 84
The total leftover for Kuber is Rs.84.
Lastly, just add both left over amount together.
315+84 = 399
The total amount left by Manavi and Kuber is: (1) 399
Find the common ratio for the geometric sequence for which [tex]a_1[/tex]=3 and [tex]a_5[/tex]=48. A. -3 B. -2 C. 3 D. 2
Answer:
An= A1 * r^n-1
A5= 3 * r^5-1
48= 3*r^4
48÷3=r^4
16=r^4
r=
[tex] \sqrt[4]{16} [/tex]
r=2
The answer is D. 2
Espero que te sirva
hsじぇいrんふぉそ具jんじょおlっっっkjか、
A football stadium splits ticket sales in ratio of 3 : 4 between the away team and the home team. The home team make £36,000. What is the total amount of ticket sales?
The ratio 3:4 means for every 3 pounds made in away team tickets versus home team tickets. Multiply both sides by 9000 to have that 4 turn into 36000. The ratio 3:4 will then turn into 27000:36000
With this new ratio, we see that the away team pulls in 27000 and the home team pulls in 36000. Add the two amounts to get the final answer
27000+36000 = 63000
------------
We could alternatively add 3 and 4 (from the ratio 3:4) to get 3+4 = 7. Then multiply by that same scale factor 9000 getting 9000*7 = 63000.
What are the possibilities of “AI technology” in various fields of mathematics education.?
Please help fast
Answer:
it could be used to calculate higher deviations of calculus, to measure heights also for optimization algorithms for decision
making under uncertainty
4 The surface area of a cube with side s is A = 682
Use the formula to find the surface area of a cube with s=4.
Answer:
96
Step-by-step explanation:
SA = 6*s^2
Since s = 4, we need to square it.
4^2 (4 Squared) = 16
Now we need to multiply 16 by 6 since there are 6 sides on a square.
16*6 = 96
So our Answer is 96.
--Variables
SA= Surface Area
s = Side Length or 4
Anna's back Garden consists of a rectangular lawn measuring 9m by 7m, surrounded by a gravel path of width X metres. Find, and simplify, an expression for the total area of the garden.
A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width.
The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower
:
Let x = the width of flower bed
:
Then the overall dimensions (flower bed & lawn) will be:
(2x + 8) by (2x + 4)
:
Overall area
(2x+8)*(2x+4) = 165
FOIL
4x^2 + 8x + 16x + 32 = 165
A quadratic equation
4x^2 + 24x + 32 - 165 = 0
4x^2 + 24x - 132 = 0
Simplify, divide by 4, results:
x^2 + 6x - 33 = 0
Use the quadratic formula to solve this
What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1)
Answer:
see explanation
Step-by-step explanation:
The minimum is at the vertex (- 3, 1 ), that is y = 1
Since the graph is a minimum then it opens vertically up U
The range of the values of y are therefore
range [ 1, ∞ )
Answer:
Graph would be nice.
Step-by-step explanation:
**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.
Answer:
1 1/8
Step-by-step explanation:
1/4 of 4 1/2 is Pepsi.
1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8
(-2 + 1)² + 5(12 : 3) - 9.
Answer:
5(12 : 3) -8
Step-by-step explanation
when you solve the first half of the equation you get 1.
so 9-1 is 8.
Before you can make a pie chart you need to figure out how much of the circle belongs to each category. Suppose that you earned $6.00 doing odd jobs. You spent your money in this manner: Tithe$ 0.60 Missions$ 0.40 Recreation$ 1.80 Savings$ 2.40 School supplies$ 0.80 Remembering the formula, (category total) x 360°, you can figure out each part. For example: 60/600 x 360° = 36° Changing the dollars to cents saves confusion with the decimal point. Following thisformula tells us that, when we make our pie chart, 36° of the graph should belong tothe category of tithe.
Answer:
missions-24
recreation-108
savings-144
school supplies-48
tithe-36
Step-by-step explanation:
so first convert all the given costs to cents by multiplying each amount with 100 then add all of them to get the total as 600
in a pie chart we know that it's a circle and all angles within the circle must add up to 360 so to get an angle for a certain cost that will represent it in the chart you have to take that cost over the total to get the fraction of the circle it will occupy multiplied by 360 to get it in degrees or which portion of 360 will it occupy hence
60/600×360=36
Evaluate the problem
Answer:
.6
Step-by-step explanation:
First find < ABC
Since this is a right triangle, we can use trig functions
tan < ABC = opp / adj
tan < ABC = 2/4
Take the inverse tan of each side
tan ^-1 tan < ABC = tan ^-1 2/4
< ABC = 26.56505118
Multiply by 2
53.13010235
Take the cos
cos (53.13010235)
.6
subtract c from 7, then divide b by the result
Answer:
[tex]\frac{7-c}{b}[/tex]
Answer:
[tex]\frac{7 -c}{b}[/tex]
Step-by-step explanation:
Subtract c from 7 : 7 - c
Then the result is divide by b : [tex]\frac{7 -c}{b}[/tex]
Three friends have been working in a garden. One has worked for 11 hours and the other 2 worked for 7 hours. The garden owner paid $500 for the work that was done. How should this money be divided fairly between the three friends?
Answer:
First should get $220, other two should get $140 each.
Step-by-step explanation:
The ratio of hours the friends worked is 11:7:7. Say that they are paid 11x, 7x, and 7x respectively, therefore:
11x + 7x + 7x = 500
25x = 500
x = 20 so the first friend should get 11 * 20 = $220 and the other two should get 20 * 7 = $140 each.
Please answer question
Answer:
V = 28 mm³Step-by-step explanation:
Base is right triangle, so:
B = ¹/₂•4•6 = 12 mm²
H = 7 mm
V = ¹/₃•B•H
V = ¹/₃•12•7 = 4•7 = 28 mm³
Answer:
V=28 mm³
Step-by-step explanation:
V= volume of the pyramide
G = square of the triangle
h = high of the pyramide
V = 1/3 * G* h
G=1/2 *a*b
G = 1/2 * 6 * 4
G = 12
V= 1/3 *12*7
V=28 mm³
It takes 250 \text{ g}250 g250, start text, space, g, end text of pasta and 240 \text{ ml}240 ml 240, start text, space, m, l, end text of sauce to make one batch of spaghetti, and it takes 600 \text{ g}600 g600, start text, space, g, end text of pasta and 700 \text{ ml}700 ml 700, start text, space, m, l, end text of sauce to make one batch of lasagna.
Answer:
250S + 600L > 4000
240S + 700L > 5000
Step-by-step explanation:
It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.
Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
Write an inequality that represents the condition based on the number of grams of pasta.
Write an inequality that represents the condition based on the number of milliliters of sauce.
Scenario 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S =the number of batches of spaghetti he makes
L =the number of batches of lasagna he makes.
We have, inequality based on the number of grams of pasta
250S + 600L > 4000
Scenario 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S= the number of batches of spaghetti he makes
L= the number of batches of lasagna he makes.
We have, inequality based on the number of milliliters of sauce
240S + 700L > 5000
The two inequalities are:
250S + 600L > 4000
240S + 700L > 5000
PLEASE HELP TO BE MARKED THE BRAINLIEST
If we have line segment AB, and point C is somewhere on AB, then AC+CB = AB through the segment addition postulate.
This is the idea where basically we can glue together two straight lines to form a longer straight line. Or we can go in reverse to break up a line into smaller parts.
- Find the slope intercept form of the equation. 4x + 2y = 50
Answer:
[tex]\boxed{y=-2x+25}[/tex]
Step-by-step explanation:
First, subtract 4x from both sides of the equation to put into slope-intercept form (y = mx + b). Then, divide by 2 to isolate the y.
4x + 2y = 50
2y = -4x + 50
y = -2x + 25
Answer:
[tex]y=-2x+25[/tex]
Step-by-step explanation:
To find the slope-intercept form of the equation, we just need to isolate the y-variable.
So we have the equation:
[tex]4x+2y=50[/tex]
First, subtract 4x from both sides. The 4xs on the left cancel:
[tex](4x+2y)-4x=50-4x\\2y=-4x+50[/tex]
Now, divide both sides by 2. The 2s on the left cancel:
[tex]\frac{2y}{2}=\frac{-4x+50}{2} \\y=\frac{-4x+50}{2}[/tex]
Simplify the right side. Expand the fraction:
[tex]y=\frac{-4x}{2}+\frac{50}{2} \\[/tex]
Cancel out the terms:
[tex]y=-2x+25[/tex]
Therefore, the slope-intercept form is:
[tex]y=-2x+25[/tex]
HELP PLEASE!!!!! I OFFER 100 points!!!!
Suppose that a company claims that its boxes of breakfast cereal contain 18 ounces of cereal on average, with a standard deviation of 0.5 ounces. if you took a sample of 50 boxes of cereal, what would be the expected mean amount of cereal per box in the sample?
Answer:
18 ounces
Step-by-step explanation:
The expected mean is the average amount
Since the average amount is 18 ounces, we should expect 18 ounces
Answer:
18 ounces
Step-by-step explanation:
1. Escribe las razones de los siguientes enunciados: a. En una clase de un colegio cada pelota es utilizada por cada equipo de cinco niños, o sea que tenemos cinco alumnos por cada pelota de fútbol. b. En un estacionamiento hay coches de fábricas asiáticas y de fábricas americanas. En total hay 3060 coches, de los cuales, 1740 son de fabricación asiática y el resto, 1320, son de fabricación americana. (es urgentee.. Es para una tarea)
Answer:
a. 5 n/p o 1 p/ 5n
b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos
Step-by-step explanation:
Se entiende como razón a la fracción que compara dos elementos entre sí.
Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:
- Por cada 15 mujeres hay 9 varones 9/15
- Por cada 9 varones hay 15 mujeres, 15/9
Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.
El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:
- Cada 3060 autos, 1720 son asiáticos
- Cada 3060 autos, 1320, son americanos
Which number is a solution of the inequality 8 – 14b ≥ 27?
A. 140
B. –76
C. –8.75
D. –4.75
Answer:
8 - 14b ≥ 27 ⇒ subtract 8 from both sides- 14b ≥ 27 -8 - 14b ≥ 19 ⇒ divide both sides by 14- b ≥ 19/14 ⇒ multiply both sides by -1 b ≤ - 19/14 ⇒ multiplication by a negative changes theinequality sign to opposite one
b ≤ - 19/14 and the answer choices B, C and D are all correct as are less than -19/14
A. 140 is the only one incorrect
Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name
Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.
A.) Pinky bought 1. 1/2 kg of apples and 5. 1/4 kg of mangoes 1. 1/2 kg of oranges. Find the total weight of fruits B.) if her family eats 3/4 kg of apples and 2. 1/2 kg of mangoes and 1/2 kg of oranges. Find the weight of fruits left (Please say the answer with explanation who says the answer first I will mark them as the brainliest)
Answer:
A. Total weight of the fruits is 2.25 kg
B. There are no more fruits left.
Step-by-step explanation:
A.
To get the total weight of the fruits, we will first of all have to sort out the fruits and multiply the weight of the fruits by the number available.
Weight of apples:
we have one 1apple weighing 1/2 kg. The weight will be 1 |X 1/2 = 1/2 kg
Weight of mangoes:
We have five mangoes weighing 1/4 kg. Total weight will be 5 X 1/4 = 5/4 kg
Weight of oranges:
We have one orange weighing 1/2 kg. Total weight will be 1X 1/2 = 1/2 kg
Total weight of the fruits will be total weight of Mangoes + oranges + apples
= 1/2 + 5/4 + 1/2 = 2.25kg
B.
If her family begins to eat off some portions of the fruits, we will have to calculate the sum total of all the weights of fruits eaten
The portion eaten will be 3/4 + (2 X 1/2) + 1/2 = 2.25kg
If this happens the family would have eaten all of the fruits because
the original weight present is only 2.25kg of fruits to start with
What is a16 of the sequence 2,11,20
Answer:
137
Step-by-step explanation:
This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.
Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:
aₙ = 2 + (n - 1) * 9
= 2 + 9n - 9
= 9n - 7
a₁₆ = 9(16) - 7 = 137
Find the distance between the two points (8, 3) and (0, -3)
Answer:
10
Step-by-step explanation:
d is the variable for distance
√(0−8)2+(−3−3)2=
√(−8)2+(−6)2=
√64+36=
√100=
10
Answer:
10
Step-by-step explanation:
What’s the function of the Unit Circle and why is it called the unit Circle?
Answer:
It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.
Step-by-step explanation:
PLS ANSWER BRAINLIST AND A THANK YOU WILL BE GIVEN!!!!
Answer:
[tex]\huge\boxed{Option \ D}[/tex]
Step-by-step explanation:
4x + 5x = 180 [They are angles on a "straight" line so they will add up to 180 degrees)
Answer:
D
Step-by-step explanation:
The sum of angles that are formed on a straight line is 180.
4x + 5x = 180
Consider f(x) = 3x2 + 4 and g(x) = 2x − 3. Which statements about f + g are true? Select all that apply. A. The domain is all real numbers. B. The range is all real numbers. C. It is a linear function. D. It is a quadratic function.
PLEASE HELP
Answer:
B. The range is all real numbers. D. It is a quadratic function.Step-by-step explanation:
Given the functions f(x) = 3x² + 4 and g(x) = 2x − 3, to know that statements that is true about f+g, we will need to add the functions together first.
f(x)+g(x) = 3x² + 4 + 2x - 3
f(x)+g(x) = 3x²+2x +4 - 3
f(x)+g(x) = 3x²+2x + 1
The highest degree of a quadratic function is 2 and since the highest degree of the resulting function is 2, hence the resulting sum of the equations is quadratic.
Also the range of the values is all real numbers because the presence of x² in the function will always return a positive value greater than x.
Hence the correct statements are 'the range is all real numbers and it is a quadratic function'
Answer:
B AND D
Step-by-step explanation:
EXTRA POINTS. WILL GIVE A BRAINLIEST AND A THANK YOU. ANSWER ASAP... I want a clear, grammatically correct answer please, Part A and Part B separate; This is an essay, please write it as such. All steps! Easy to understand! Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
Part A:
[tex]x+y=27 \\4x+y = 45[/tex]
Part B:
Number of vanilla wafers packets bought = 6 and
Number of chocolate wafers packets bought = 21
Step-by-step explanation:
Given:
Cost of each packet of vanilla wafer = $4
Cost of each packet of chocolate wafer = $1
Total number of packets bought = 27
Total money spent = $45
Part A:
To write a system of equations for the given situation.
Here, we do not know the number of packets bought for each type of wafer.
We just know that total number of packets bought and the total money spent in buying those packets.
Let us suppose,
Number of packets of vanilla wafers bought = [tex]x[/tex] and
Number of packets of chocolate wafers bought = [tex]y[/tex]
Total number of packets = Number of packets of vanilla wafers bought Plus Number of packets of chocolate wafers bought:
i.e. [tex]x+y=27 ...... (1)[/tex]
Money spent on vanilla wafers packets = [tex]4 \times x[/tex]
Money spent on chocolate wafers packets = [tex]1 \times y[/tex]
Total money spent = [tex]4x+y = 45 ...... (2)[/tex]
So, the system of equations is:
[tex]x+y=27 \\4x+y = 45[/tex]
Part B:
To find number of packets bought for each flavor = ?
Here, we have two equations and two variables [tex]x[/tex] and [tex]y[/tex].
As, the coefficients of [tex]y[/tex] in both the equations are same.
Let us subtract equation (1) from (2):
[tex]4x+y-x-y=45-27\\\Rightarrow 3x = 18\\\Rightarrow \bold{x =6}[/tex]
By equation (1), putting the value of [tex]x[/tex] and solving for [tex]y[/tex]:
[tex]6+y=27\\\Rightarrow \bold{y =21}[/tex]
So, number of vanilla wafers packets bought = 6 and
number of chocolate wafers packets bought = 21
A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
[tex]y + 2 = \frac{5}{4} (x + 8)[/tex]Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
