You have 42 coins valued at $6.00. Some of the coins some are quartersFind the number you have of each. Set up and solve a system of equations needed to solve the problem.
Complete Question
Mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6. How many of each type of coin does he have?
Answer:
The number of dimes = d = 30 dimes
The number of quarters = q = 12 quarters
Step-by-step explanation:
Let us represent
The number of dimes = d
The number of quarters = q
A dime is worth 10 cents = 0.10d
A quarter is worth 25 cents = 0.25q
Mark has 42 coins consisting of dimes and quarters.
q + d = 42...... Equation 1
q = 42 - d
The total value of his coins is $6.
0.1d + 0.25q = 6
We substitute 42 - d for q
0.1d + 0.25(42 - d) = 6
0.1d + 10.5 - 0.25d = 6
10.5 - 6 = 0.25d - 0.1d
4.5 = 0.15d
d = 4.5/0.15
d = 30 dimes
Solving for q
q = 42 - d
q = 42 - 30
q = 12 dimes
Therefore,
The number of dimes = d = 30 dimes
The number of quarters = q = 12 quarters
What is 5(2 + x) = 5 ?
5(2+x)=5
or, 10+5x=5
or, 5x= -5
or, x= -1
Hope it helps
How are adding and multiplying fractions alike?
Both of them have to do with adding to the number
Srry Im not a math wizard like most people
Answer: Because the fraction will increase instead of decrease
Step-by-step explanation:
PLS HELP ME WITH THE ANSWER
!!!
Answer: m is less than or equal to -7
Step-by-step explanation:
Step-by-step explanation:
[tex]-2m - 3 \leq 11[/tex]
[tex]-2m \leq 14[/tex] (adding 3 to both sides)
[tex]m\geq -7[/tex] (dividing by a negative switches the sign around)
Hope this helps!
chase measured a line for his are project. it is 200 mm long
how many cm is this line
Question 1 (1 point)
f(-3) = 10x
3x + 3
a
-24
b
24
С
18
d
-18
PLEASEE HELP!!!!!!!!15points!!
Answer:
d. -18
Step-by-step explanation:
f(-3) = 10x - 3x + 3
10(-3) - 3(-3) + 3
-30 + 9 + 3
-30 + 12
= -18
Please mark me the Brainliest!?!
Quadrilateral ABCD is rotated 90° counterclockwise about the origin.
Move numbers to the lines to complete the sentence about the image A B C D
Line segment A B haw a length of ___ units and line segment C D has a length of ___ units.
answers are 2, 3, 4, 5, 6, 8.
Answer:
A is (1,4)
B is (3,4)
C is (5,1)
D is (1,1)
Step-by-step explanation:
Hope this helps please mark brainliest
8a - 1.6c when a = 12 and b = 3
Answer:
96-1.6c hope this helps
Step-by-step explanation:
Please help me. I will mark brainliest, rate 5 stars, and heart the answer. Also, you get 50 points.
Answer:
D A and C
Step-by-step explanation:
5/12=3/2c+8/3 it is fractions btw
Answer: c = -3/2
Step-by-step explanation:
1. Subtract 8/3 from both sides —> you get 3/2c = -9/4
2. Divide both sides by 3/2 —> -9/4 x 2/3 = -3/2
Write the function in lowest terms: 36a^3 bc^2/ 24ab^4 c^2
(sorry for bad photo quality, i'm using the computer camera)
Answer: 3a^2/2b^3
Step-by-step explanation: I'm doing this term by term.
36/24 = 3/2a^3/a = a^2b/b^4 = 1/b^3c^2/c^2 = 1Final answer: 3a^2/2b^3
All number is numberator went to numerator. All numbers in denominator went to denominator.please help me and please dont put a incorrect number just for points
Answer:
Step-by-step explanation:
You multiply by the reciprocal of 1/5 to make the equation 1/3*5/1 to get 5/3
if u dont know this *=multiplication
Shai wants to buy a can of soda the soda costs $1.00 shai has $0.75 what could she use to find how much more money she needs
Step-by-step explanation:
$1.00 - $0.75 = $0.25
She needs $0.25
Question Progres
Homework Progress
15 / 46 Marts
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
When the expression 10^2021 − 2021 is evaluated, the result is a very large number.
You probably do not have enough time to perform the calculation. So, in an
effort to save you some time and paper, instead of evaluating the expression
10^2021 − 2021, determine the sum of the digits in the difference. How do I do this pls
Answer:
18,176
Step-by-step explanation:
Figure out an easier thing to do: 1000 - 2021 = 9,797.
Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 = 18,176.
What is 230 kilometers converted to meters per minute?
Your answer would be 230,000
The Shaginaw family left for their vacation at 7:15 A.M. Eastern Time and arrived at the amusement park at 5:20 P.M. Central Time. How long did it take the family to drive?
Answer: 10 hours 5 minutes
Step-by-step explanation:
Convert the PM to 24 hour notation: 1720 hrs
Time taken = 1720 - 715
= 1005
= 10 hours 5 minutes
Solve for x............
Step-by-step explanation:
because angle A and C are similar, so
9x-8=28
9x=36
x=4
Solve the system of equations using elimination
2x + y = 5
-1x + y = 2
Answer:
(1, 3 )
Step-by-step explanation:
Given the 2 equations
2x + y = 5 → (1)
- x + y = 2 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x fro both sides
y = 5 - 2x → (3)
Substitute y = 5 - 2x into (2)
- x + 5 - 2x = 2
- 3x + 5 = 2 ( subtract 5 from both sides )
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into (3) for corresponding value of y
y = 5 - 2(1) = 5 - 2 = 3
solution is (1, 3 )
Find the product. Enter your answer in simplest form
So this is Writing Expressions practice.
17 added to 15
An expression is: (answer)
Answer:
17+15=32.............
Evaluate d3a2−(c+b) if a=−2 , b=3 , c=−12 , and d=−4 . need help
Answer:
-7
Step-by-step explanation:
-247 is the value of expression d³a²−(c+b) for a=−2 , b=3 , c=−12 , and d=−4 .
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is d³a²−(c+b)
d cube times of a square minus c plus d
a,b, c and d are variables
plus and minus are operators.
Given values of a, b c and d are
a=−2 , b=3 , c=−12 , and d=−4 .
Substitute these values in expression
(-4)³(-2)²-(-12+3)
(-64)(4)-(-9)
(-64)(4)+9
Minus two hundred fifty six plus nine
-256+9
Two hundred forty seven
-247
Hence -247 is the value of expression d³a²−(c+b) for a=−2 , b=3 , c=−12 , and d=−4 .
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Which has a greater slope (Rate of change)?
the graph
the equation
Answer:
The graph
Step-by-step explanation:
If you see, the graph goes up 40 for every 1 is goes over. The equation will go up 35 for every 1 it goes over. Thus, the graph has the greater slope.
Can someone help me asap on this question geometry
Answer:
3rd one
Step-by-step explanation:
Victor's bedroom is 4 meters long and 3 meters wide. Starting at the far left corner, Victor walks down the length, across the width, and then diagonally back to the far left corner. How far does Victor walk?'
Answer:
12meters
Step-by-step explanation:
Step one:
given data
Length= 4 meters
Width= 3 meters
Let us find the diagonal by applying Pythagoras theorem
[tex]z^2= x^2+y^2\\\\z^2= 4^2+3^2\\\\z^2= 16+9\\\\z^2= 25\\\\[/tex]
z=√25
z= 5meters
Step two:
Hence the total distance Victor has covered is
total= 4+3+5
total= 12meters
Mary is planning to provide online math and french language tutoring sessions. The math session will be 45 minutes long, and the french sessions will be 30 minutes long. She plans to work no more than 30 hours per week and does not want to provide more than 30 french sessions in any one week l. Let m represent the number of math sessions, and f represent the number of french sessions mary will offer during the week. Which system of inequalities represents the constraints of the given situation?
Answer:
3/4m + 1/2f ≤ 30f ≤ 30Step-by-step explanation:
Math session = 45 min = 3/4 hrFrench session = 30 min = 1/2 hrNumber of math sessions = m, total math hours = 3/4mNumber of French sessions = f, total French hours = 1/2fTotal hours constraint:
3/4m + 1/2f ≤ 30Number of session constraint:
f ≤ 30So the system is:
3/4m + 1/2f ≤ 30f ≤ 30Answer:
3/4m + 1/2f ≤ 30
f ≤ 30
Step-by-step explanation:
The product of a number and -8 decrease by 13 is less than or equal to 27
Answer:
less than
Step-by-step explanation:
Answer:
less than
Step-by-step explanation:
What are the outputs of the following function?
{(-3, 2), (-4, 2), (8, 3), (7, 1)}
{1, 2, 3}
{3, 2, 1, 2}
{-3, -4, 2, 1, 7, 8, 3}
{1, 2, 3, -4, 7}
Answer:
Answer: {1, 2, 3}
Step-by-step explanation:
Functions
They are relations between input values and output values such that each input has one and only one output.
The function:
{(-3, 2), (-4, 2), (8, 3), (7, 1)}
Consists of four ordered pairs where the first component is the input value and the second value is the output value.
It can be identified that the output values are:
{2,3,1}
In any order, thus the first choice is correct.
Answer: {1, 2, 3}
will 1, 2, 5 form a right triangle
Step-by-step explanation:
in my opinion, yes it would.
Can someone help me with this?
No, they're not corresponding angles because they are not on the same side of the transversal.
Step-by-step explanation: