Answer:
35 dimes and 60 nickels
Step-by-step explanation:
let d = # of dimes and n = # of nickels
We know that Timmy has a total of 95 coins, consisting of dimes and nickels
So d + n = 95
The total value of his bank is $6.50
A dime is worth $0.10 and a nickel is work $0.05
So 0.10d + 0.05n = $6.50
Note that we've just created a system of equations that we can solve
We have the two equations
0.10d + 0.05n = 6.50 and d + n = 95
There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.
First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.
d + n = 95
- subtract d from both sides -
n = 95 - d
We now defined "n"
Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
we now solve for d
0.10d + 0.05(95 - d) = 6.50
step 1 distribute the 0.05
0.05 * 95 = 4.75 and 0.05 * -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
step 2 combine like terms 0.10d - 0.05d = 0.05d
0.05d + 4.75 = 6.50
step 3 subtract 4.75 from both sides
0.05d = 1.75
step 4 divide both sides by 0.05
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
subtract 35 from both sides
n = 60
We can conclude that he has 35 dimes and 60 nickels
One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?
pls help me on this im stuck
Answer:
44 or B
Step-by-step explanation:
Look at comments above
extrano a mi sobrina, what does the underlined word mean
Answer:
I miss my niece
Step-by-step explanation:
it's the meaning of that hope U get it ...
Plz help
Find ‘x’ & ‘y’
Answer:
x=20. y=15
Step-by-step explanation:
in similar triangles the sides are all in proportion. this means:
[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]
[tex] \frac{25}{5} = 5[/tex]
so:
[tex] \frac{x}{4} = 5[/tex]
x=5×4
x=20
and...
[tex] \frac{y}{3} = 5[/tex]
y=3×5
y=15
A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answer as a fraction.
Answer:
17/3
Step-by-step explanation:
to find out the width, we need to divide the area by the length.
68/12=5.666666667
fraction form: 17/3 (5 2/3)
Which of the following fractions is equivalent to 1/7?
1. 3/28
2. 1/14
3. 4/28
4. 3/14
Answer: 3, 4/28
Step-by-step explantation: 1 x 4 is 4, and 7 x 4 is 28. Therefore, 1/7 is equal to 7/28.
The quadrilaterals JKLM and PQRS are similar.
Find the length x of RS.
Will mark brainliest!
The measure of side x equivalent to RS is 42
Similar shapes are shapes that have both their sides and angles to be equal.
Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;
4/24 = 7/x
1/6 = 7/x
Cross multiply
x = 42
Hence the measure of side x equivalent to RS is 42
Learn more on similar shapes here: https://brainly.com/question/12960403
Help!!!! 100 POINTS (FIRST CORRECT ANSWER GETS BRAINLIEST)
Answer:
14x+4
Step-by-step explanation:
5x+5x+2x+2x+3+3-1-1
5x+5x+2x+2x=14x
3+3-1-1=4
14x+4
Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?
Answer:
good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer
The son solved 40 problems correctly out of the 60 problems he attempted.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's denote the number of problems the son solved correctly by "x".
According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.
Now,
Total earnings = 1 euro (x) - 0.5 euros (60 - x)
Simplifying this expression.
Total earnings = 1.5x - 30
We are given that the son won 30 euros in total, so we can set up the equation:
30 = 1.5x - 30
Solving for x.
1.5x = 60
x = 40
Therefore,
The son solved 40 problems correctly out of the 60 problems he attempted.
Learn more about expressions here:
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The complete question.
A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?
how do I find the volume of this shape?
Answer:
length times witdth times height
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
Help me ;-;
Find (2)(‐3)
I’ll give 100 points
Answer:
cant even see the screen good
Step-by-step explanation:
2055
I think cuz when u substitute 170 min for x which is min and solve u get 2055
(feet) y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3 (round to nearest WHOLE number)
y = 2055 ft
hope this helps!
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.
The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
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Which answer best describes the system of equations shown in the graph?
A. Consistent and dependent
B. Inconsistent
C. Not enough information
D. Consistent and independent
Thanks.
Answer:
A. Consistent and dependent
Answer:
D. Consistent and independent
Step-by-step explanation:
A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)
B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)
C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve
D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)
The number of feet in an unknown
number of yards. Let b = the variable.
Algebraic expression:
There are 3feet in one yard.
Let B = number of feet
Let Y = number of yards
B = 3Y
Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Janelys can use while staying within her budget.
Answer:
Less than 4.70 GB
Step-by-step explanation:
Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:
5x + 46.50 < 70
5x < 23.50 Subtract $45.60 from each side.
x < 4.70 GB Divide 5 from each side.
Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D
Write 8% as a fraction or mixed number in simplest form.
please help me
You need 12 dozen cookies for a bake sale. The original recipe makes 48 cookies (4 dozen). How much of each ingredient will you need?
To make a mixed number, type the whole number, then a space, then the fraction part. Example: Two and one-fourth would be 2 1/4.
Only type whole numbers, fractions or mixed numbers in the boxes below (NO DECIMALS). If it does not exactly match the answer I typed in, it will be marked incorrect. Use the / key by the right-side shift button as the fraction bar.
Ingredients Original Recipe Your Amount
All purpose flour 214 cups
cups
Baking Soda 1 teaspoon
teaspoon
Salt 12 teaspoon
teaspoon
Butter, softened 1 cup
cup
Granulated sugar 34 cup
cup
Brown Sugar 34 cup
cup
Egg(s) 1
Vanilla 1 teaspoon
teaspoon
Semisweet Chocolate Chips 2 cups
cups
What is the constant of proportionality for this situation?
Answer:
So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups
equivalent expressions to 3/5x +3
Step-by-step explanation:
......3(x+5)/5......
The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.
Step-by-step explanation:
m(t) = 11t + 55
the slope is always the factor of the variable, so here the slope is 11.
since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.
the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.
it is here 55.
t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.
the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).
so I need to make some assumptions :
the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).
if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.
but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).
the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].
the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.
the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].
for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.
describe the transformation
Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.
g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.
Plzzzz help meeee plzzzzzs
Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12
Answer:
11
Step-by-step explanation:
NEED HELP ASAP GEOMETRY QUESTION 20 POINTS!!!!
Answer:
X= 12
Step-by-step explanation:
f(x)= 2/(x+3) find domain
Answer:
x < -3 or x > -3
Which one is greater 43/50 , 0.91 , 7/8 , 84%
Answer:
0.91
Step-by-step explanation:
43/50 = 0.86
7/8 = 0.875
84/100 = 0.84
Answer:
0.91
Step-by-step explanation:
.91 is already solved so there is nothing to do there.
Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.
For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.
For 84 percent, just convert it to 0.84 and you are done.
Therefore, the biggest one is 0.91
today everything at a store is on sale the store offers a 20% discount the discount price of a hat is $18 what is the regular price
Answer:
$20
Step-by-step explanation:
Can someone plz help with 21?? Thanks!
Answer:
4) -11.3...
Step-by-step explanation:
distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)
move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))
simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...
Answer:
option 4
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides
[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]
Multiply through by 30, the LCM of 6, 3, 15, 5
5x - 40 = 8x - 6 ( subtract 8x from both sides )
- 3x - 40 = - 6 ( add 40 to both sides )
- 3x = 34 ( divide both sides by - 3 )
x = - [tex]\frac{34}{3}[/tex] = - 11.333..
4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation: