Answer:
answer will be 5/17 as I have just substitute the number
The ratio of [tex]a[/tex] to [tex]b[/tex] is [tex]6[/tex] to[tex]1[/tex] and the ratio of [tex]b[/tex] to [tex]c[/tex] is [tex]12[/tex] to [tex]1[/tex], then the value of [tex]\frac{2a + 3b}{4b + 3c}[/tex] is [tex]\frac{180}{51}.[/tex]
What is ratio?Ratio is used to compare to things i.e. numbers, size etc.
We have,
[tex]\frac{a}{b} = \frac{6}{1}[/tex] and [tex]\frac{b}{c} = \frac{12}{1}[/tex]
From the above given data we have to make value [tex]b[/tex] same in both ratios;
Therefore multiply [tex](\frac{a}{b})[/tex] ratios from [tex]12[/tex],
We get,
[tex]\frac{a}{b} = \frac{72}{12}[/tex] and [tex]\frac{b}{c} = \frac{12}{1}[/tex]
So,
[tex]a=72,\\b=12,\\c=1[/tex]
Now, putting above values in [tex]\frac{2a + 3b}{4b + 3c}[/tex],
[tex]=\frac{2(72) + 3(12)}{4(12)+ 3(1)}[/tex]
[tex]=\frac{180}{51}[/tex]
Hence we can say that The ratio of [tex]a[/tex] to [tex]b[/tex] is [tex]6[/tex] to [tex]1[/tex] and the ratio of [tex]b[/tex] to [tex]c[/tex] is [tex]12[/tex] to [tex]1[/tex], then the value of [tex]\frac{2a + 3b}{4b + 3c}[/tex] is [tex]\frac{180}{51}.[/tex]
To know more about ratios click here
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Coffee costs $1.75 a pound. How much would 3.2 pounds of coffee cost?
Answer:
$5.60
Step-by-step explanation:
So each pound equals to $1.75 which means that we need to multiply by 3.2 because we're trying to find the number of money we'll spend on a certain amount of coffee. So if we multiply, we get 5.6. Though in context with the problem, it should be $5.60.
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
Hi. I need help with this question (see image). Please show workings.
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S
NEED STEP BY STEP EXPLANATION
Answer:
n = (S + 360)/180Step-by-step explanation:
Given formula:
S = 180(n - 2)Solving for n:
S = 180(n - 2) ⇒ open parenthesisS = 180n - 360 ⇒ isolate n180n = S + 360 ⇒ divide both sides by 180n = (S + 360)/180[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]
where, n =number of sides of polygon
S =sum of the degree measures of the interior angles of the polygon
Solve 3x-9 ≥ 27-6x
Please help would be greatly appreciated!!
Multiple Choice
1. Which of the following is the correct form of the distance formula? (1 point)
d=(33 – x;) +(12 – Y;)
mm 2 m ( 20 COO
a = √(x - 2)² + (x2 - y2)
= V(x2 – xz)-(-y)
a = √(x2-x;)²-(32-33)
d =
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -
the nearest hundredth, if necessary.
Answer:
1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. The distance between the points (-3,8) and (-4, -2) is 10.04
Step-by-step explanation:
1. Which of the following is the correct form of the distance formula?
The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)
Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.
We have points (-3,8) and (-4,-2)
Putting values in distance formula and finding result:
[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have x_1=-3, y_1=8, x_2=-4, y_2=-2
[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]
So, the distance between the points (-3,8) and (-4, -2) is 10.04
please help me please
Answer:
change/original price X 100
22/88 X 100 = 25%
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
Please help!!
Each pair of polygons is similar. Find the value of x.
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
===========================================================
Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
------------
Explanations:
The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.Which set of ordered pairs represents a function?
( Please help me with this as soon as possible )
Answer:
B
Step-by-step explanation:
i did the same test
2/3x+1=1/6x-7
What the answer solve for 15 points !!
Answer:
The value of x is -16.
Step-by-step explanation:
☆Let's solve!
[tex] \: \: \: \: \: \: \: \: \: \: \frac{2}{3} x + 1 = \frac{1}{6} x - 7 \\ \frac{ - \frac{1}{6}x \: \: \: \: \: \: \: \: \: = - \frac{1}6{x} }{ \frac{1}{2}x + 1 = - 7} \\ \: \: \: \: \: \frac{ - 1 = - 1}{ \frac{ \frac{1}{2} x}{ \frac{1}{2} } = \frac{ - 8}{ \frac{1}{2} } } \\ x = - 16[/tex]
Q2
A car travels at 72 mph for 3 hours and 40 minutes.
How far has it travelled?
miles
[2]
8
Answer:
264 miles
Step-by-step explanation:
Let's convert 3 hours and 40 minutes into hours first.
Recall that 1 hour = 60 minutes.
Therefore 40 minutes = 40/60 hours = 2/3 hours.
The car travelled 3 and 2/3 hours in total.
Recall that distance = speed times time.
The car has travelled 72 x 3 2/3 miles = 264 miles.
Locate and label (4,5) and (4, -3), Draw the line segment between
the end points given on the coordinate plane. How long is the line
segment that you drew? Explain.
Given:
The two endpoints are (4,5) and (4,-3).
To find:
The line segment between the given endpoints and the length of the line segment.
Solution:
Plot the given point and connect them by and straight line segment as shown in the below graph.
The distance between (4,5) and (4,-3) is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]d=\sqrt{0+64}[/tex]
[tex]d=\sqrt{64}[/tex]
[tex]d=8[/tex]
Therefore, the length of the line segment is 8 units.
Please help me with the questions please
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
Here is a list of numbers:
14, 52, 100, 21, 83, 75, 13,39,86,52
Calculate the range.
Answer:
87
Step-by-step explanation:
Range= biggest value-smallest value
R=100-13
R=87
Answer:
87
Step-by-step explanation:
Hope this helped have an amazing day!
y = -x +2
7x + 4y = -1
What is the value of y for the solution to this system of equations?
Answer:
Hi! The correct answer is y = 5
Step-by-step explanation:
~Solve for the first variable in one of the equations, then substitute the result into the other equation~
The seventh grade band has 15 drummers and 12 trumpet players. The eighth grade band band has 10 drummers and 8 trumpet players. Do the ratios form a proportion
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
Lynn has a box of crayons.
4/9 of the crayons are blue
65% of the remaining crayons are red.
The other 14 crayons are yellow.
How many crayons are in the box altogether?
Answer:
There are 72 crayons in the box
Step-by-step explanation:
Fractions
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]
Thus, the portion of yellow crayons is:
[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]
This fraction of x crayons is equal to 14, thus:
[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]
x = 72
There are 72 crayons in the box
What is the solution to this equation?
X/5 = 25
A. x = 20
B. x= 125
C. x = 5
D. x= 30
Answer:
A. x=20
Step-by-step explanation:
Pls help and SHOW WORKINGS it due asap.
Answer:
C
Step-by-step explanation:
The x coordinate of the rest stop:
1/2 × (the sum of the x coordinates of the highschool and the stadium)
= 1/2 × (3+7)
= 1/2 × 10
= 5
The y coordinate of the rest stop:
- Same thing i did for the x coordinate, but use the y coordinates.
1/2 × (the sum of the y coordinates of the highschool and the stadium)
= 1/2 × (4 + 1)
= 1/2 × 5
=5/2
So the coordinate of the rest stop would be (5, 5/2).
Next for the distance, i used the pythagoras theory so it's like this:
a^2 + b^2 = c^2
Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.
3^2 + 4^2 = c^2
9 + 16 + c^2
25 + c^2
c = 5
(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)
So the final answer is 5 × 6.4, which is 32. The answer is C.
Mario's Pizza just received two big orders from customers throwing parties. The first customer, Amelia, bought 10 regular pizzas and 1 deluxe pizza and paid $133. The second customer, Jaden, ordered 7 regular pizzas and 9 deluxe pizzas, paying a total of $284. What is the price of each pizza?
Answer:
The regular costs 11 dollars each while the deluxe cost 23 each.
Step-by-step explanation:
You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
plss help
7. (a) how many 3-digit positive numbers are there?
(b) how many 4-digit positive numbers are there?
Answer:
a) 900
b) 9,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. a=100. an=999
an=a+n-1.d
Therefore answer will be 900.
B. 9000.
There are 131 students at a small school and 35 of them are freshmen. What fraction of the students are freshmen?
Answer:
35/131
Step-by-step explanation:
Since 35 out of 131 students are freshmen, the fraction would be:
35/131
I hope this helps! :)
The fraction of the students are freshmen will be 35 / 131.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
There are 131 students at a small school, and 35 of them are freshmen.
Then the fraction of the students are freshmen will be
⇒ 35 / 131
More about the fraction number link is given below.
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Solve: (a-7)(a+1) = 0
Answer:
0
Step-by-step explanation:
Answer:
a = −1 or a = 7
Step-by-step explanation:
Let's solve your equation step-by-step.
( a − 7 ) ( a + 1 ) = 0
Step 1: Simplify both sides of the equation.
a^2 − 6a − 7 = 0
Step 2: Factor left side of equation.
( a + 1 ) ( a − 7 ) = 0
Step 3: Set factors equal to 0.
a + 1 = 0 or a − 7 = 0
a = −1 or a = 7
Perform the operation. Enter your answer in scientific notation.
7 × 106 − 5.4 × 106 =
Answer:
849
Step-by-step explanation:
1556
Answer:
1.696 × [tex]10^{2}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?
#5) What is the slope of the line that passes through the points (6, -8) and (4,10)?
A)1/3
B)-1/9
C) - 9
D) -1
Which is fraction is less 1/5 4/5?
Answer:
1/5
Step-by-step explanation:
Look at it this way; 1/5th of a pizza. Five parts of a pizza, you only have one. But 4/5? You have four slices of the pizza! Much more! Yum.
Answer:
1/5<4/5
Step-by-step explanation: