Answer:
the answer is 91
Step-by-step explanation:
One group of 9 quarters, 3 dimes, and 1 nickel has the value of $9 \times 25 + 3 times 10 + 5=26 cents or 2.60 in total.
Since the coins she has are in this same ratio 9:3:1, we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60
Because the total value of her coins is 18.20and 18.20\2.60=7, she has 7 of these groups of coins.
Each of these group contains 13 coins, so she has 7 times 13 = 91 coins in total.
Each of these group contains 13 coins, so she has total 91 coins.
What are nickles, dimes, quarters and cents?A dollar is further divided into some majorly used parts as:
A cent = 100th part of a dollar = $1/100 = $0.01
A nickle= 20th part of a dollar = $1/20 = $0.05
A dime = 10th part of a dollar = $1/10 = $0.10
A quarter = 4th part of a dollar = $1/4 = $0.25
One group of nine quarters, 3 dimes, and 1 nickel has the value of $9
25 + 3 times 10 + 5=26 cents or 2.60 in total.
Since the coins Nathalie has are in this same ratio 9:3:1, thus we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60
Due to the total value of her coins is 18.20
18.20/2.60=7,
Hence, she has 7 of these groups of coins.
Each of these group contains 13 coins, so she has total ;
7 x 13 = 91 coins
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What is the solution to this system of linear equations?
y − x = 6
y + x = −10
a. (−2, −8)
b. (−8, −2)
c. (6, −10)
d. (−10, 6)
Answer:
B: (-8,-2)
you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable
good Luck!!!
Can someone PLEASE help me out??!!!!!!!
Answer:
[tex]\huge\boxed{66.42 \textdegree}[/tex]
Step-by-step explanation:
In order to solve for this missing angle, we can use trigonometry.
With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.
Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)
Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.
The adjacent side over our hypotenuse will be [tex]\frac{2}{5}[/tex] since 2 is the length of the adjacent and 5 is the length of the hypotenuse.
We know have the equation [tex]cos^{-1}(B) = \frac{2}{5}[/tex].
We now find what [tex]\frac{2}{5}[/tex] is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.
When we do this, we get the number [tex]66.42182152[/tex] etc. Rounding to the nearest hundredth gets us 66.42.
Hope this helped!
The line containing the points (30, 40) and (40, 60) has a y-intercept of?
Help help
Answer:
-20
Step-by-step explanation:
the slope is 2
2*30 = 60
40 - 60 = -20
PLEASE HELP!!
For what value of x does 2x-4/x+7 = 1/3?
A. 33/5
B. 2
C. 19/5
D. -7
Answer:
A i think
Step-by-step explanation:
1 Multiply both sides by 3x3x.
6{x}^{2}-12+21x=x6x
2
−12+21x=x
2 Move all terms to one side.
6{x}^{2}-12+21x-x=06x
2
−12+21x−x=0
3 Simplify 6{x}^{2}-12+21x-x6x
2
−12+21x−x to 6{x}^{2}-12+20x6x
2
−12+20x.
6{x}^{2}-12+20x=06x
2
−12+20x=0
4 Use the Quadratic Formula.
x=\frac{-20+4\sqrt{43}}{12},\frac{-20-4\sqrt{43}}{12}x=
12
−20+4√
43
,
12
−20−4√
43
5 Simplify solutions.
x=-\frac{5-\sqrt{43}}{3},-\frac{5+\sqrt{43}}{3}x=−
3
5−√
43
,−
3
5+√
43
The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples
Step-by-step explanation:
So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.
It can be done just by applying Unitary Method!So,
6.5 kg -- Rs. 520
1 kg -- Rs.(520/6.5) = Rs.80
So, cost of 1 kg apples is Rs.80.Select the equivalent expression.
Answer:
The Answer is B
Step-by-step explanation:
In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]
If 132 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.25 and total receipts for the concert was $384, how many of each went to the concert?
Answer
i'm pretty sure 64 people attended the concert.
Step-by-step explanation:
Tell me if this helped or not.
100 micrograms of a drug are contained in 2 milliliters. How many milliliters are contained in 15 micrograms?
Answer:
.3
Step-by-step explanation:
multiply .15 by 2
Simplify the expression by
distributing, then combining like
terms!
6(2y +5) - 12
How was triangle A translated?
O four units left
O four units right
O six units left
O six units right ark this andTetrn
Answer:
D
Step-by-step explanation:
i know its six units right but i dont know what the rest of the answer says tho
Answer: D
Six units right
Step-by-step explanation:
I got it right on edg2020
Determine the length of AS.
A. 12
B. 18
C. 3
D. 6
Answer:
C. 3
Step-by-step explanation:
2x+6
Divide 2 on both sides
x=3
answer to this???????
Answer:
At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.
Step-by-step explanation:
The first one would e -8-10=-18
Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.
It would just be 8x=10
The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.
Combine the like terms to create an equivalent expression:
\large{-5+(-5r)+10}−5+(−5r)+10
Answer:
−10r +10
Step-by-step explanation:
Let's simplify step-by-step.
−5−5r+10−5−5r+10
=−5+−5r+10+−5+−5r+10
Combine Like Terms:
=−5+−5r+10+−5+−5r+10
=(−5r+−5r)+(−5+10+−5+10)
=−10r+10
Answer:
−5r+5
Step-by-step explanation:
Which expression has the same value as 4÷25?
Answer:
We need the choices, since there are plenty equations with the same value.
Step-by-step explanation:
4/25=0.16
Whichever equation equals 0.16 is your answer.
What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?
Answer:
5
Step-by-step explanation:
Average rate of change is slope, which is change in y over change in x:
[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]
The average rate of change of the function is 5.
What is the average rate of change of a function?The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.
The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.
The value of the function for x = 6 is:
f(6) = 5(6) + 2
f(6) = 32
The value of f(x) for x = -2 is:
f (-2) = 5(-2) + 2
f(-2) = -10 + 2
f(-2) = -8
The average rate of change of the function is given by:
( f(6) - f(-2) )/ (6 - (-2))
= ( 32 - (-8))/ (6 + 2)
= ( 32 + 8)/8
= 40/8
= 5
Hence, the average rate of change of the function is 5.
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NEED HELP ASAP WILL GIVE BRAINLIEST AND 15 POINTS
1/3x + 3 - 5/6x = -15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Combine~\frac{1}{3}m~and~-\frac{5}{6}m:[/tex]
[tex]\bold{\frac{1}{3}m+-\frac{5}{6}m=-\frac{1}{2}m }[/tex][tex]\bold{You~could~also~solve~this~by~turning~the~fractions~into~decimals.}[/tex][tex]2.)~Subtract~3~from~both~sides:[/tex]
[tex]\bold{3-3=Cancels~Out}[/tex][tex]\bold{-15-3=-18}[/tex][tex]\bold{We~do~the~opposite~of~what~we~see:+3,~meaning~we~subtract.}[/tex][tex]3.)~Multiply~both~sides~by -2:[/tex]
[tex]\bold{-\frac{1}{2}m}[/tex] × [tex]\bold{-2=Cancels~Out}[/tex][tex]\bold{-18}[/tex] × [tex]\bold{-2=36}[/tex][tex]\bold{The-2~is~from-\frac{1}{2}m.~Since~it's~dividing~we~do~the~opposite~and~multiply~by~-2.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{m=38}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
HelpppppppPPPPPPPPPPPPPPPP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If you solve this inequality you should get...
[tex]4<3+4x\\1<4x\\\frac{1}{4} <x[/tex]
So I don't know if you can but the answer is all three because 9, 7, and 1 are all greater than [tex]\frac{1}{4}[/tex].
Carmen creates the ratio table below based on one 8-ounce serving of juice
How many total calories will 4 servings of juice contain?
A) 420
B) 520
C) 650
D) 780
Answer:
B
Step-by-step explanation:
The pattern is adding 130, or multiply the servings by 130.
so if 3x=390, you would divide both sides by 3 and get 130.
This means that x=130
Now plug in 4x=?
You would get 4*130=?
if you do the math through multiplication you would get 520
Answer:
B
Step-by-step explanation:
I got the unit test right on edg 2020
Pls helpppppppppppppppppp
Answer: 75
Step-by-step explanation:
Multiple all those numbers together and then divide by 3
Answer:
75
Step-by-step explanation:
V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75
Based on the diagram below, find the value of v, u and w: *(round to one decimal place)
Answer:
u=27 v=9.5 w=28.5
Step-by-step explanation:
PLEASE ANSWER EASY 5 POINTS
Answer:
15(B)
Step-by-step explanation:
all of those angles add up to 180 on a line
9 times 15 is 135
3 times 15 is 45
135+45 is 180
Analyze the number line below and answer the question that follows.
If jpg, where could point I be?
A.
–7
B.
–6
C.
–5
D.
–4
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
The length and width of a rectangle are in a ratio of 7:11. If the perimeter of the
rectangle is 72 cm. Find the
length and
width of the rectangle.
Answer:
14cm and 22cm
Step-by-step explanation:
Given parameters:
Perimeter of rectangle = 72cm
Ratio of length to width = 7: 11
Unknown:
Length and width of the rectangle = ?
Solution:
Since the ratio of length to width is 7: 11,
if the length is 7x , width = 11x
The perimeter of a rectangle can be obtained using
Perimeter = 2(L + W)
Insert the parameters and solve;
72 = 2(7x + 11x )
72 = 2(18x)
x = [tex]\frac{72}{36}[/tex] = 2
The length = 7x = 7x2 = 14cm
width = 11x = 11 x 2 = 22cm
Learning Task 2.
A. Translate the following verbal sentences to mathematical sentence. Then ex-
press into quadratic equations in terms of "x".
Given
Quadratic Equations
1. The length of a wooden frame is 1 foot
longer than its width and its area is equal
to 12 ft2
2. The length of the floor is 8 m longer than
its width and there is 20 square meters.
3. The length of a plywood is 0.9 m more
than its width and its area is 0.36 m2.
4. The area of rectangle whose length is six
less than twice its width is thirty-six,
5. The width of a rectangular plot is 5 m
less than its length and its area is 84 m2.☹️
Answer:
1)[tex]x^2+x-12=0[/tex]
2)[tex]x^2+8x-20=0[/tex]
3)[tex]x^2+0.9x-0.36=0[/tex]
4)[tex]2x^2-6x-36=0[/tex]
5)[tex]x^2-5x-84=0[/tex]
Step-by-step explanation:
1) The length of a wooden frame is 1 foot longer than its width and its area is equal to 12 sq. ft.
Let the width be x
We are given that length of a wooden frame is 1 foot longer than its width
So, Length = x+1
Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]
ATQ
x(x+1)=12
[tex]x^2+x-12=0[/tex]
2)The length of the floor is 8 m longer than its width and there is 20 square meters.
Let the width be x
We are given that length of the floor is 8 m longer than its width
So, Length = x+8
Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]
ATQ
x(x+8)=20
[tex]x^2+8x-20=0[/tex]
3)The length of a plywood is 0.9 m more than its width and its area is 0.36 m2.
Let the width be x
We are given that length of a plywood is 0.9 m more than its width
So, Length = x+0.9
Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]
ATQ
x(x+0.9)=0.36
[tex]x^2+0.9x-0.36=0[/tex]
4)The area of rectangle whose length is six less than twice its width is thirty-six
Let the width be x
We are given that length is six less than twice its width
So, Length = 2x-6
Area of rectangle = Length \times Breadth = x(2x-6)
ATQ
x(2x-6)=36
[tex]2x^2-6x-36=0[/tex]
5)The width of a rectangular plot is 5 m less than its length and its area is 84 m2.
Let the length be x
Width = x-5
Area =[tex]Length \times Breadth = x(x-5)[/tex]
ATQ
x(x-5)=84
[tex]x^2-5x-84=0[/tex]
What is an equation of the line that passes through the point (5,-5) and is parallel to the line x+5y=20
Answer:
y = [tex]-\frac{1}{5}[/tex]x - 4
Step-by-step explanation:
Given parameters:
Coordinates = (5, -5)
Equation of the line, x + 5y = 20
Unknown:
Equation of the line parallel to this= ?
Solution:
To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.
The equation of any straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y- intercept
Now,
x + 5y = 20
Let us find the slope of this line;
5y = -x + 20
Divide through by 5;
y = [tex]-\frac{1}{5}[/tex]x + 4
The slope of the new line is the coefficient of x;
Slope = [tex]-\frac{1}{5}[/tex]
So, let us find the y-intercept of the new line;
-5 = [tex]-\frac{1}{5}[/tex] x 5 + c
-5 = -1 + c
c = -5 + 1 = -4
Now,
y = [tex]-\frac{1}{5}[/tex]x - 4
Answer: y = -(1/5)x - 4
Step-by-step explanation:
Who c is the value of the expression [(10^4)(5^2)/10^3)(5^3)]^3 1 2 8 10
Answer:
8
10 divided by 5 is 2, and 2 cubed is 8
Find x and y. Need answer ASAP!!!
Answer:
x = 16, y = 23
Step-by-step explanation:
Consider angles related to the parallel lines and the left transversal
4x + 4 and 7x - 44 are alternate exterior angles and congruent , thus
7x - 44 = 4x + 4 ( subtract 4x from both sides )
3x - 44 = 4 ( add 44 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
----------------------------------------------------------
Consider angles related to the parallel lines and the right transversal
39 and 8y - 43 are same- side exterior angles and supplementary, thus
39 + 8y - 43 = 180 , that is
8y - 4 = 180 ( add 4 to both sides )
8y = 184 ( divide both sides by 8 )
y = 23
x = y, If y=9, then x = 9
what property is this?
Answer:
The Transitive Property for x and y
Step-by-step explanation:
3 708 000 000 in scientific notation
3,708,000,000 in scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]
A carpenter can build 8 cabinets in 3 hours. At this rate, how long will it take for the carpenter to build 26 cabinets?
a. 8 hours
c. 21 hours
b. 9 hours 45 minutes
d. 69 hours 20 minutes
Answer: 21 hours
Step-by-step explanation:
i’m not sure how to solve it i just guessed and got it right
Answer:
21
Step-by-step explanation: