Equivalent to 175 cents
She has 5 dimes and 25 nickels
====================================================
Explanation:
n = number of nickels
d = number of dimes
n+d = 30 since she has 30 coins of just these two types
n = 5d because she has five times as many nickels compared to dimes
-----------------
We'll use substitution to solve this system
n+d = 30
5d+d = 30 ... replace n with 5d
6d = 30
d = 30/6 ... divide both sides by 6
d = 5
Sophie has 5 dimes
n = 5d
n = 5*5 ... plug in d = 5
n = 25
Sophie also has 25 nickels
(5 dimes) + (25 nickels) = 30 coins total
This confirms we have the right coin counts.
-------------------
Let's find the value of each stack of coins
1 nickel = 5 cents
25 nickels = 125 cents (multiply both sides by 25)
1 dime = 10 cents
5 dimes = 50 cents (multiply both sides by 5)
(5 dimes) + (25 nickels) = (50 cents) + (125 cents) = 175 cents
175 cents = (175/100) dollars = 1.75 dollars
Please please PLEASEEEEE HELP !!
7.28-4.92 please help! also show work if you can!
Answer:
The answer is 2.36
Step-by-step explanation:
I just used a calculator I just did 7.28-4.92 and that equals 2.36
7.28-4.92=2.36
2.36 is the answer
7(x-2) - 3x + 5 = -2 (5x-4) + 4
Please help asap! - xxx
Answer:
x=
2
3
=1.500
Step-by-step explanation:
(((7•(x-2))-3x)+5)-((0-2•(5x-4))+4) = 0
STEP
2
:
Equation at the end of step 2
((7 • (x - 2) - 3x) + 5) - (12 - 10x) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
14x - 21 = 7 • (2x - 3)
Equation at the end of step
4
:
7 • (2x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 7 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
Answer:
x = 1.5
Step-by-step explanation:
Step 1: you distribute what is on the outside of the parenthesis to EVERYTHING on the inside of the equation which will leave you with
7x-14-3x+5=-10x+8+4
Step 2: Combine your like terms. You have to add all the X's on the left side first, then your whole numbers. After that, you go to the right side and do the same thing. This should leave you with 4x-9=-10x+12
Step 3: get x to one side of the equation. You do the opposite of what the x is on the right. So you would add 10x on both sides. This should leave you with 14x-9=12
Step 4: You do the opposite of the whole number on the left to both sides/ add 9 to both sides. This should leave you with 14x=21
Step 5: you now divide both sides by 14 because 14x is a multiplication problem, and you need to do the opposite. So you should finally get
X=1.5
solve for x. -0.45x + 0.15x=8.1
Answer:
x = - 27
Step-by-step explanation:
Hi !
- 0.45x + 0.15 = 8.1
- (0.45x - 0.15) = 8.1
- (0.30x) = 8.1
- 0.3x = 8.1
x = 8.1 : (- 0.3)
x = 81/10 : (-3/10)
x = 81/10 × (-10/3)
x = - 81/3
x = - 27
Good luck !
A manatee dives at a rate of 4 feet per second. What integer represents the change in the manatee’s position after 20 seconds?
Answer:
i am just trying so 4 x20=80 feet
Step-by-step explanation:
i am not sure what is an integer i havent learned it yet.
Identify the slope of the following equation . 5x+6y=4
Answer:
5/6
Step-by-step explanation:
Move the variable to the right
Divide both sides
Reorder terms
Therefore, the slope is 5/6. Let me know if you want me to clarify.
how much terms are in the expression shown blow a²-ab+8b+b²-1
Help me solve this problem please
Answer:
answer is option D . 2n - 1
Answer:
its D because one less than means - and twice a number is 2n
example : four more than, twice a number is 2x+4
Tell whether the given number is a solution of each equation.
8x + 5 = 29; 3
Answer:
yes
Step-by-step explanation:
8(3) + 5 =29
24. + 5 = 29
29 = 29
what is 2.035 in expanded form?
Answer:2.000+30+5
Step-by-step explanation: I hope this helped
In a decimal number, the expanded form shows the mathematical formula for the sum of the values of each digit.
The expanded form for 2.035 [tex]\mathbf{= (2) + (0) + (0.03) + (0.005)}[/tex]
The expanded form of 2.035 can be calculated by multiplying the number without fraction before the decimal point and multiplying with fraction in the power of tens after the decimal point.
i.e.
[tex]\mathbf{= (2 \times 1) + (0 \times \dfrac{1}{10}) + (3 \times \dfrac{1}{100}) + (5 \times \dfrac{1}{1000})}[/tex]
[tex]\mathbf{= (2) + (0) + (0.03) + (0.005)}[/tex]
In conclusion, the expanded form for 2.035 [tex]\mathbf{= (2) + (0) + (0.03) + (0.005)}[/tex]
Learn more about decimal numbers here:
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What is the slope of the line that passes through the given points?
(2,12) and (6,11)
Answer:
m= - 1/4
Step-by-step explanation:
Talia took the bus from her home to the bank and then walked back to her home along the same route. The round trip took 0.9 hours total. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. Use the table to complete these statements.
The rate of Trip 2 is
km/h.
The time of Trip 1 is
hours.
Answer:
The rate of Trip 2 is 5 km/h.
The time of Trip 1 is 0.9-x hours.
Step-by-step explanation:
right on edg 2020
Which is the function represented by the table?
Answer:
the first one is correct
Step-by-step explanation:
Thus f(x)= -2x+1
Is the square root of 8 greater than, less than, or equal to 4 ?
Answer:
√8 is less than 4Step-by-step explanation:
We need to compare √8 and 4
To compare the numbers they should both be in the same format
√8 is not a perfect square so we'll put number 4 under root
4 = √4² = √16Now we compare
√8 < √16So √8 is less than 4
A local gym charges a $100 initial membership fee and $19 for each month you stay a member. What are the x and y intercepts?
Answer:
y-intercept = 100x- intercept = -5.26Step-by-step explanation:
$100 initial membership fee $19 monthly feeFunction of relationship:
y = 19x + 100y- intercept:
x =0 ⇒ y = 19*0 + 100 ⇒ y = 100x - intercept:
y = 0 ⇒ 0 = 19x + 100 ⇒ 19x = -100 ⇒ x = -100/19 ⇒ x = -5.26Which set of number include only whole numbers?
Answer:
123
Step-by-step explanation:
which polynomial represents the area of the shaded region with the fewest terms?
Answer:
14x-85
Step-by-step explanation:
The area of the shaded region is
[tex](x + 6)(x - 6) - {(x - 7)}^{2} [/tex]
which if you use the identities to expand it gives you
[tex] {x}^{2} - 36 - {x}^{2} + 14x - 49[/tex]
This then reduces to be
[tex]14x - 85[/tex]
Write an algebraic expression for the verbal expression the sum of g squared and four.
Answer:
g^2 + 4
I literally do not know how to explain it. I solved this problem with the clues like sum and squared. I looked at where these words were located.
The algebraic expression for the sum of g squared and four is g^2 + 4.
The given statement is "the sum of g squared and four".
We need to write an algebraic expression for this statement.
What are the common algebraic signs?- Sum = add = +
- Difference = minus = -
- Divide = ÷
- Squared = [tex]x^{2}[/tex]
- cube = [tex]x^{3}[/tex]
- Square root = [tex]\sqrt{x}[/tex]
We have,
"the sum of g squared and four".
Let us separate it into two parts:
g squared - [tex]g^{2}[/tex]
Four = 4
Sum = +
So we have,
Sum of g squared and four = [tex]g^{2}[/tex] + 4.
Thus the algebraic expression for the sum of g squared and four is [tex]g^{2}[/tex] + 4.
Learn more about algebraic expression here:
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The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.
What is the constant of proportionality?
A.) 0.67
B.) 1
C.) 1.5
D.) 2
Answer:
d i think
Step-by-step explanation:
Answer:
I believe it's CStep-by-step explanation:
correct me if I'm wrong
-20(-8)=
Someone please help me with integers! :(
Answer:
160
Step-by-step explanation:
This is the answer because:
1) Whenever there are two negative factors, the answer will be a positive
- x - = +
Hope this helps!
Is K a variable, an equation, a constant, or a formula?
Answer:
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Step-by-step explanation:
what is 3 5/9 minus 2 1/3
Answer:
11/9 or 1 2/9
Step-by-step explanation:
3 5/9=32/9
2 1/3=7/3
LCM is 9
7/3=21/9
32/9-21/9
=11/9
=1 2/9
Yeah Convert to milliliters 6 liters
Answer:
6000 millilitres
Step-by-step explanation:
there is 1000 millilitres per litre.
On Friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. On Saturday, their lane rentals were down by StartFraction 1 over 8 EndFraction but the concessions increased by One-half. What is the total amount that the bowling alley earned in lane rentals and concessions on Friday and Saturday?
Answer:
The real answer is D 2,611.05
Step-by-step explanation: You can trust a me ok?
Answer:
d
Step-by-step explanation:
Can someone Help me with this question ASAP!
Answer:
A =5
Step-by-step explanation:
From the Pythagorean theorem
Answer:
The perimeter is 30ft
Step-by-step explanation:
[tex]a^2+12^2=13^2\\a^2=13^2-12^2\\\sqrt{a^2}=\sqrt{25}\\a=5\\\\5+12+13=30[/tex]
simplify : 4(-7c+5d)+5-2(5+9d)
Step-by-step explanation:
use -2 to open d bracket
4(-7c+5d)+5-10-18d
use 4 to open d bracket
-28c+20d+5-10-18d
re arrange
-28c+20d-18d+5-10
-28c+2d-5
note: - doesnt start an equation so rearrange
=+2d-28c-5
A rectangular box with a square base has a length and width equal to w. The sum of the length,width, and height of the box is 30 inches. Which of the following functions represents the volume of the box
Answer:
YOU can Mulit the width to length then the height then hold that together that your answer
Step-by-step explanation:
Use the GCF and the distributive property to find the expression that is
equivalent to 27 + 36.
A. 3(9 +12)
B. 9(3+4)
C. 2(9 +18)
D. 9(3+3)
ANSWER FAST ITS TIMED
help please! really appreciate it
Answer:
x=26
Step-by-step explanation:
exterior angles theorem meaning they're equal to each other.
5x+7=8x-71
add 71 to 7
5x+78=8x
subtract 5x from 8x
78=3x
divide 78 and 3
x=26
to check your work plug 26 into each equation:
5(26)+7= 137°
8(26)-71= 137°
because they're the same you know that x must equal 26
hope this helps!❤
solve for h please!!!! help!
Answer:
h=3U
Step-by-step explanation:
flip the equation
U=1/3h
multiply both sides by 3 to get h by itself
U (3) and 1/3h (3)
h=3U