Aaron the car wash owner had 228 quarters and 120 dimes.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of quarters and y represent the number of dimes. Hence:
x = 90% of y + y
x = (0.9y) + y
x - 1.9y = 0 (1)
Also:
0.25x + 0.1y = 69 (2)
From both equations:
x = 228, y = 120
Aaron the car wash owner had 228 quarters and 120 dimes.
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The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greater than 148 inches?
Answer:
The possible values of S are the values between 37 and 49. (Excluding 37 and 49)
Step-by-step explanation:
If the perimeter of the square must be greater than 148 inches but less than 196 inches.
And perimeter of a square = 4s
We intend to find the values of s such that:
148 < 4s
¹⁴⁸⁄₄ < ⁴ˢ/₄
37 < s
Also:
4s < 196
s < ¹⁹⁶⁄₄
s < 49
Therefore:
37 < s < 49.
The possible values of s are the values between 37 and 49. (Excluding 37 and 49.)
write an equation for a line perpendicular to y = 5x - 4 and passing through the point (15,-1)
Answer:
y = -1/5 x + 2
Step-by-step explanation:
y = 5x - 4
m = 5
Slope of perpendicular = -1/5
Equation of perpendicular:
y = mx + b
y = -1/5 x + b
Use point (15, -1) for x and y, and solve for b.
-1 = -1/5(15) + b
-1 = -3 + b
b = 2
Equation of perpendicular:
y = -1/5 x + 2
Find an ordered pair (x,y) that is a solution to the equation
5x-y=6
Answer:
Slope:
5
y-intercept :
( 0, -6)
Step-by-step explanation:
i dont know how to explain it
Will name BRAINLEST!!
Determine the area of the given triangle.
Answer:
7.5 square units
Step-by-step explanation:
Area of triangle = 1/2 x base x height
From inspection, base = 5 units and height = 3 units
Therefore, area = 1/2 x 5 x 3 = 7.5 square units
I need help what’s 5.57 multipled by 4
Answer:
22.28
Step-by-step explanation:
what does 739474×92937474748
Properties of rectangles rhombuses and squares worksheet answers.
Answer:
sorry i cant find anything for u
Step-by-step explanation:
6 ft and 10ft were doubled what is the percent of change?
Answer:
It is a 100% hope it helps
9.17% round to the nearest degree
Answer:
9%
Step-by-step explanation:
9.17% = 9% (to the nearest percent)
Answer:
9%
Step-by-step explanation:
9.17% to the nearest degree which in this case is percent, since .17 is above .50 or is .50 it has to be rounded down, and the nearest percent 9s 9%.
A television network is tracking the viewing numbers for the beginning episodes of a new show. The second episode had 80% of the viewers from the first episode. and the third episode had a 20% increase in viewers from the second episode.
The number of viewers in the third episode was 2.16 times that of the second episode.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of viewers in the first episode.
The second episode = x + 80% of x = x + 0.8x = 1.8x
For the third episode = 1.8x + 20% of 1.8x = 1.8x + 0.36x = 2.16x
The number of viewers in the third episode was 2.16 times that of the second episode.
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Given: Jack rides his bike for
3 hours and goes 15 km.
Rates:5
1/5
How many hours would
he take to ride 40 km?
Answer:
8 hours
Step-by-step explanation:
Because Jack is riding at 5km/hr (15km/3hr), then in order for him to get 40 km it would take him 8 hours
How much money needs to be deposited now into an account to obtain $1,500 in 7 years if the interest rate is 5% per year compounded continuously?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &7 \end{cases} \\\\\\ 1500=Pe^{0.05\cdot 7}\implies \cfrac{1500}{e^{0.35}}=P\implies 1057.03\approx P[/tex]
james makes an acai bowl using 3/5 cup of almond milk for every 1 1/2 teaspoons of cashew butter. james wants to know the number of cups of almond milk per teaspoon of cashew butter he uses when making the bowl. How much almond milk does james use per teaspoon of cashew butter?
____ cup(s) of almond milk per teaspoon of cashew butter
Answer:
the answer its 2/5
Step-by-step explanation:
hes rite
A car accelerates from rest down in highway at 16 m/s for 10 seconds. What distance did the car travel during acceleration.
Answer:
160
Step-by-step explanation:
16 * 10
= 160
Answer:160 meters
Step-by-step explanation: to work out the distance you have to times the speed by the time to get the distance.
A field that is 2/3 acres must be planted with seed. If 12 people will split the job equally, how many acres must each person plant?
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
Answer: Andy covers all the walls of his kitchen using 6 rolls of a wallpaper.
To Find:
Number of rolls used per wall.
Solution:
Since, we know that the shape of a kitchen is a cuboid.
And a cuboid has total 6 faces, with 4 walls, one roof and one floor.
So, total number of walls in Andy's kitchen = 4
Now, it is given that he uses 6 rolls of wallpaper to cover 4 walls completely.
In order to find the number of rolls used per wall, we'll have to divide the total number of rolls used with the total number of walls.
Number of rolls used per wall =
So, 1.5 rolls are used to cover one wall.
Step-by-step explanation:
Answer:
the mean of three numbers is 10 and the mean of four other numbers is 16.what is the mean of all seven numbers
Step-by-step explanation:
g
If the diameter of a circle is 20 inches, what is the radius?
Answer:
Step-by-step explanation:
Diameter = 20cm . Radius = 10 cm. Circumference = 2πr = 2(3.14)(10) = 6.28 * 10 = 62.8 cm.
Answer:
radius=10
Step-by-step explanation:
radius is always half the diameter therefore the answer is 10 inches.
What is the slope of the line with the equation y=1/4x-7
Answer:
slope is 1/4
Step-by-step explanation:
divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Fill in the missing number.
70% of _____=42
Answer:
60
Step-by-step explanation:
70% of x = 42
.7x = 42
x = 42 ÷ .7
x = 60
Answer:
60
Step-by-step explanation:
We have, 70% × x = 42
or,
[tex]\frac{70}{100}[/tex] × x = 42
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 42 × [tex]\frac{100}{70}[/tex]
x = 60
If you are using a calculator, simply enter 42×100÷70, which will give you the answer of 60
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
6.67
Step-by-step explanation:
For this question once again use the same method I explained for the other questions. So I'm not going to go in-depth on explaining this one, since it is the same as others.
Step 1:
40/30=1.333333333333333
Step 2:
5 x 1.333333333333333 = 6.666666666666667
Step 3:
Simplify.
6.67 should be the length of BM
Hope this helps! :)
simplify the equation : 14/ 5 - 1/4
Answer:
51/20
Explanation:
14/5-1/4=
14*4/5*4-1*5/4*5=
56/20-5/20=
56-5/20=
51/20
PLZ HELP QUICKLY! ILL GIVE BRAINLIEST.
Which transformation below causes Figure A to transform into Figure A?
A. a reflection across the y-axis
B. a reflection across the x-axis
C. a clockwise rotation of 90 degrees about the origin
D. a translation 12 units right and 2 units down
Answer:
D
Step-by-step explanation:
Start from one point on figure A (-6, -3) for example. Count 12 to the right and two units down and you will find (6, -5) on the A'.
What is the probability of rolling a four on the first die and a four on the second die?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
Answer:
1
I think the answer is 4/4 = 1
I need help please, anyone?!!
Answer:
I believe the answer is 255 miles.
Work out this question pls
Answer:
3 3/16
Step-by-step explanation:
Conversion a mixed number 8 1/2
to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/
16
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.
51/16
3 3/16
Solve each system of equations using the elimination method
10x-6y=54
-4x+3y=-24
Answer:
x = 3; y = -4
Step-by-step explanation:
2(10x - 6y = 54) = ( 20x - 12y = 108)
4(-4x + 3y = -24) = ( -16x + 12y = -96)
4x = 12
x = 3
-4(3) + 3y = -24
-12 + 3y = -24
+12 +12
3y = -12
y = -4
Please help me with this question
Answer:
b
Step-by-step explanation:
try putting the diamond into a number.
example: Diamond=1
1+1=2
1+2=3
1+3=4
1+5=6
so none of the answers except for b is correct
a cuboid's length is 9 cm, its height is 4 cm and its breadth is 6 cm. calculate the surface area.
any help is appreciated!!! :)
A typical tip in a restaurant is 15% of the total bill. If the bill is $160, what would the typical tip be?
Answer:
15 percent of 160 is 24, so $24
7.34 as a mixed number
Answer:
Answer: 7 17/50
Step-by-step explanation:
Write down the number as a fraction of one
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(734,100) = 2. when reduced to the simplest form.