Answer:
18 liters of 41% alcohol and 12 liters of 11% alcohol.
Step-by-step explanation:
.41x + .11(30-x) = .29(30) I am going the clear the decimal by multiply all the way through by 100
41x + 11(30 -x ) = 29(30)
41x + 330 -11x = 875 Combine like terms
30x +330 = 875 Subtract 330 from both sides
30x = 540 Dived both sides by 30
x = 18
30 - 18 = 12
Amount Percent Total
x .41 .41x
30 - x .11 .11(30 - x)
30 .29 .29(30)
Look at the total column
.41x + .11(30-x) = .29(30)
A bakery offers a sale price of $3.40 for 6 muffins. What is the price per dozen?
Answer: The sale price per dozen would we around $6.80 with no tax included.
Step-by-step explanation:
HELP ME OUT OMG THANKS
Answer: 3 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
7 1/5
Step-by-step explanation:
One poster has a width of x + 5 inches, and
the other has a width of x + 3 inches. Write an
expression to represent the area of wall that the
posters will cover.
The area that represent the wall the poster will cover is as follows:
x² + 10x + 25x² + 6x + 9What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Therefore, One poster has a width of x + 5 inches, and the other has a width of x + 3 inches.
The expression to represent the area of wall that the posters will cover can be calculated as follows:
area = w²
area of the first poster = (x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
area of the second poster = (x + 3)² = (x +3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9
learn more on area here: https://brainly.com/question/28819587
#SPJ1
Your fixed expenses are $1,235.78/month. You want to save 6 months' worth for an emergency fund over a year’s time. How much must you save each month?
Answer:
The correct answer is 514.90
Step-by-step
Examine the following triangle.
Based on the given information, what is the measure of the missing length, w?
Enter your answer as a number.
Answer:
16
Step-by-step explanation:
You must use the Pythagorean theorem to find w. Because you are looking for a leg, you must do a² - b² = c². This translates to 20² - 12² = w². If you enter the numbers into your calculator 20²- 12² = 256. You must then square root 256, and if you input √256 into your calculator you will get your final answer of w = 16.
Assemble the proof by dragging tiles to the statements and reasons columns.
Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
What are congruent triangles?
When corresponding sides and angles of two triangles are congruent, they are said to be congruent triangles.
Given is figure of triangles,
In Δ ADC and Δ BCD,
AD ≅ BC (given)
∠ BCD ≅ ∠ ADC (given)
DC is common segment in both,
Therefore, Δ ADC ≅ Δ BCD by SAS rule
∠ DAE ≅ ∠ CBE by CPCTC
∠ AED ≅ ∠ BEC by vertically opposite angles postulate.
Δ AED ≅ Δ BEC by AAS rule
DE ≅ CE by CPCTC
Hence, Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
For more references on congruent triangles, click;
https://brainly.com/question/22062407
#SPJ1
Suppose that the function f is defined, for all real numbers, as follows.
Answer:
f(-5) = 3f(-2) = -9f(1) = 0Step-by-step explanation:
You have a piecewise defined function f(x) and you want the values of f(-5), f(-2), and f(1).
The first step in finding the value of a piecewise defined function is to determine the function definition on the domain containing the x-value of interest.
F(-5)The value x=-5 is in the interval x < -2, so the first part of the function definition applies: f(x) = 3.
f(-5) = 3
F(-2)The value x = -2 is in the interval -2 ≤ x ≤ 2, so the second part of the function definition applies: f(x) = -(x -1)².
f(-2) = -(-2 -1)² = -(-3)²
f(-2) = -9
F(1)The value x = 1 is in the interval -2 ≤ x ≤ 2, so the second part of the function definition applies: f(x) = -(x -1)².
f(1) = -(1 -1)² = -(0)²
f(1) = 0
2/3 = 4x
X = ?
i dont know what this is
What is the slope of a linear function that passes
between (2, 7) and (5, 12)?
Answer:
5/3 is the slope
Step-by-step explanation:
Use the slope formula
m = y2 - y1/ x2 -x1
Answer:
Slope = 5/3
Step-by-step explanation:
Formula we use,
→ Slope = (y2 - y1)/(x2 - x1)
Now the required slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (12 - 7)/(5 - 2)
→ [ m = 5/3 ]
Hence, required slope is 5/3.
Help please!!!!!!!!!!!!
Answer:
4.) m > 7
5.) k + (-5) > 30 (The ">" has a line under It)
6.) 0.875
I don't know what it means when it says "graph the solution set" but I simplified it for you!
someone help me ASAP
I have to find angle 1 and angle 3
Answer:
∠1 = 52
∠2 = 128
∠3 = 52
Step-by-step explanation:
∠2 = ∠4 Because of vertical angles
∠1 = ∠3 Because of vertical angles
∠1 + ∠4 = 180 Because of supplementary angles
Here, we are given that ∠4 = 128°
∠4 = ∠2 So ∠2 = 128°
∠1 + ∠4 = 180
∠4 = 128°
∠1 + 128° = 180
==> subtract 128 from both sides
∠1 = 52
∠1 = ∠3
∠1 = 52 meaning that ∠3 = 52
Answer:
m<1 = 52°
m<3 = 52°
m<4 = 128°
Step-by-step explanation:
Given: m<2 = 128°
<1 is supplementary to <2.
m<1 + m<2 = 180°
m<1 + 128° = 180°
m<1 = 52°
Angles 1 and 3 are vertical angles, so they are congruent.
m<3 = 52°
Angles 2 and 4 are vertical angles, so they are congruent.
m<4 = 128°
which of the following rational functions is graphed below? A. F(x)=(x+2)/(x-2) B. F(x)=(x-1)/x(x-2) C. F(x)= (x+2)/(x+1) D. F(x)= (x+1)/(x+2)(x-2)
Answer:
[tex]C. \; \dfrac{x+2}{x+1}[/tex]
Step-by-step explanation:
Since the vertical asymptotes are at x = -1
This means the denominator must have x + 1 in it
The only expression is the one in choice C
25 to 45 in to a fraction
A questionnaire was given to students in an introductory statistics class during the first week of the course. One question
asked, "How stressed have you been in the last 2 weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being
as stressed as possible?" The students' responses are shown in the frequency distribution. How many students were involved
in the study?
students
Answer:
Step-by-step explanation:
2+0 is zero I mean two and 1+1 is two and 5+ I forgot something and you know you just need to add them up together in it at all your answer
What is 30x2? Id love to know
need help on This question I’ll give you brainliest
Answer: it is A.
Step-by-step explanation: I did the quiz
Find the missing ange:
RPQ:______
The value of angle RPQ in the circle is 115°.
What is intersecting chords' theorem?The products of the measurements of the segments of two chords are equal if they intersect in a circle.
When two chords intersect inside a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175°
arc angle SA = 55°
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115°.
Therefore, the angle is 115°.
To learn more about the intersecting chord theorem:
https://brainly.com/question/15298662
#SPJ2
quick! please help! write the equation of line that has a slope of 7 and passes through the point (1,8)
Answer: y=7x+1
Step-by-step explanation:
y=mx+b
Given:
slope= 7
point is (1,8)
Replace x and y for those numbers:
8=7(1)+b
Solve for b:
8=7+b
b=1
Final equation:
y=7x+1
Don’t even know where to start! Please help with an explanation, thanks! :)
The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
∠1 + 88 = 180°( angles on a straight line)
∠1 = 180 - 88 which is 92°
∠3 = 64°( corresponding angles are equal)
∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)
∠2 + 92° + 64° = 180
∠2 = 180 - 92 - 64
∠2 = 24°
∠4 + 81 + ∠3 = 180 ( angles on a straight line)
∠4 + 81 + 64 = 180
∠4 = 180 - 64 -81
∠4 = 35°
∠5 = 81°( alternate angles are equal)
In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.
Learn more about angles: https://brainly.com/question/25716982
#SPJ1
NO LINKS!! Based on each graph below, find the equation of the exponential function y= ab^x
Answer:
[tex]\textsf{a)} \quad y=3\left(\dfrac{5}{3}\right)^x[/tex]
[tex]\textsf{b)} \quad y=40\left(\dfrac{1}{3}\right)^x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
Question (a)From inspection of the diagram, two points on the graph are:
(0, 3)(1, 5)The y-intercept is the y-value when x = 0.
As a is the y-intercept, and the y-intercept is 3:
[tex]\implies y=3 \cdot b^x[/tex]
Substitute point (1, 5) into the equation and solve for b:
[tex]\begin{aligned}(1,5) \implies 5&=3 \cdot b^1\\5&=3b\\b&=\dfrac{5}{3}\end{aligned}[/tex]
Therefore, the equation of the exponential function is:
[tex]y=3\left(\dfrac{5}{3}\right)^x[/tex]
Question (b)From inspection of the diagram, two points on the graph are:
(0, 40)(-1, 120)The y-intercept is the y-value when x = 0.
As a is the y-intercept, and the y-intercept is 40:
[tex]\implies y=40 \cdot b^x[/tex]
Substitute point (-1, 120) into the equation and solve for b:
[tex]\begin{aligned}(-1,120) \implies 120&=40 \cdot b^{-1}\\\dfrac{120}{40}&=\dfrac{1}{b}\\b&=\dfrac{40}{120}\\ b&=\dfrac{1}{3}\end{aligned}[/tex]
Therefore, the equation of the exponential function is:
[tex]y=40\left(\dfrac{1}{3}\right)^x[/tex]
Jasmine has 38 crayons. Jasmine has 24 fewer crayons than trinity. How many crayons do they have in all?
70% of $10 =_____________________
Answer: 7
Step-by-step explanation:
A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year. Each dot
represents 10 cars. Use the dot plot to answer the question.
How many cars were sold that were not white?
A 100
B190
C 19
D 25
The number of cars sold that were not white based on the dot plot is 19
How to determine the number of cars sold that were not whiteFrom the question, we have the following parameters that can be used in our computation:
The dot plot represents the given parameter
From the dot plot, we have the following values represented as follows:
The above parameters means that the following cars are not white cars
So, we have the following representation
Count of red cars = 5Count of black cars = 8Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1When these frequencies are added, we have
Total = 5 + 8 + 1 + 4 + 1
Evaluate the sum
Total = 19
Hence, the number of cars is 19
Read more about dot plots at
https://brainly.com/question/16926277
#SPJ1
Consider the function y = -2x + 1 what is the slope (m)? What is the y intercept (b)? Make a quick graph for the equation
Answer:
Step-by-step explanation:
Start with the slope intercept equation: y=mx+b
y=-2x+1
m=-2 and b=1
Now draw a graph on your paper, place a point at +1 on the Y axis.
Next, solve for y with x=1.
y=-2(1)+1
y=-2+1
y=-1
Now graph (1,-1)
Descartes sees 18 oranges on the tree and 13 on the ground.
Newton sees 6 on the ground. Descartes and Newton see the
same amount of oranges. How many oranges does Newton
see on the tree?
Please help need to turn in asap
Answer:
4.5 or equivalently 4 1/2 or 9/2
All are equivalent
Units are miles/hour
Step-by-step explanation:
Take any two points on the graph. Divide the change in y values to the change in x values and you get the rate
Chosen points: (0, 0) and (2, 9)
Rate of change = (9-0)/(2-0) = 9/2 = 4.5
What is the value of the expression below when x=7x=7? x^2+9x-10
Answer:
Step-by-step explanation:
show all work pls help
1. There were 6 boys and 9 girls on the camping trip.
What was the ratio of boys to girls?
What was the ratio of girls to boys?
2. There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
What is the ratio of tomato plants to lettuce plants?
What is the ratio of lettuce plants to cucumber plants?
3. If Jan can buy 10 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 20 copies at the same rate?
The ratios are as follows
Ratio of boys to girls = 2:3
Ratio of girls to boys = 3:2
Ratio of tomato plants to lettuce plants = 1:2
Ratio of lettuce plants to cucumber plants = 4:1
Unit rate = $4
Cost of buying 20 copies = $80
What are ratios?
Ratios compare two numbers, usually by dividing them.
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
For example, if A is five and B is 10, your ratio will be 5/10.
According to the given question:
1) There were 6 boys and 9 girls on the camping trip.
Ratio of boys to girls = 6:9 = 2:3
Ratio of girls to boys = 9:6 = 3:2
2) There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
Ratio of tomato plants to lettuce plants = 4:8 = 1:2
Ratio of lettuce plants to cucumber plants = 8:2 = 4:1
3) If Jan can buy 10 copies of a certain book for $40
Unit rate = 40/10 = $4
Cost of buying 20 copies = 20 x 4 = $80
To know more about ratios visit
https://brainly.com/question/1504221
#SPJ1
Examine the rhombus below slove for x 5x-3
Please help it for a test worth 95 points
Answer: I'm pretty sure the answer is either 18.6, or 90
Tell me in the comments if I'm wrong
A kindergarten teacher has five books to distribute to 20 children in her class.
(a)
How many ways are there for her to distribute the books if they are all the same and no child gets more than one?
(b)
How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.
(c)
How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?
Answer:
(a) There are 20 ways for her to distribute the books if they are all the same and no child gets more than one. Each of the 20 children can receive one of the five books.
(b) There are 100 ways for her to distribute the books if they are different and no child gets more than one. Each of the 20 children can receive one of the five different books, so there are 5x4x3x2x1 = 100 possible ways for her to distribute the books.
(c) There are 3,628,800 ways for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child. This is because each child can receive any number of books from 0 to 5. Therefore, there are 6x6x6x6x6 = 6^5 = 3,628,800 possible ways for her to distribute the books.
Step-by-step explanation: