Answer: 25 quarters and 13 dimes
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.1d + 0.25q = $7.55 where d = dimes and q = quarters
Coin Total Equation → d + q = 38
Step 2: Rearrange Coin Total Equation in terms of dimes (d)
d = 38 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:
0.1(38 - q) + 0.25q = $7.55
0.1(38) - 0.1(q) + 0.25q = $7.55
3.8 - 0.1q + 0.25q = $7.55
3.8 + (0.25 - 0.1)q = $7.55
3.8 + 0.15q = $7.55
Step 4: Subtract 3.8 from each side of the equation to isolate q
3.8 - 3.8 + 0.15q = $7.55 - 3.8
0.15q = 3.75
Step 5: Divide each side of the equation by 0.15 to isolate q
0.15q/0.15 = 3.75 /0.15
q = 25
Step 6: Using our value for q, Solve for d using our Coin Total Equation:
d + 25 = 38
Subtracting 25 from both sides, we get d + 25 - 25 = 38 - 25
d = 13
Summarizing our word problem, we see that 25 quarters and 13 dimes add up to $7.55
100 Points And Brainlyest!! PLZ HELP
Answer:
741/10000
Step-by-step explanation:
write the product using exponents -3/7×3/7×3/7
Answer:
[tex]-(\frac{3}{7})^3[/tex]
Step-by-step explanation:
Since we see that 3/7 is multiplied by itself three times, we can use exponents as a shorter way to write this. The expontent tells us how many times the base number, 3/7, is multiplied by itself.
[tex]-1 * (\frac{3}{7})^3[/tex]= [tex]-1 * \frac{3}{7} * \frac{3}{7} * \frac{3}{7}[/tex]
We then multiply by -1 to (3/7)^3 to get the exact answer.
[tex]-(\frac{3}{7})^3[/tex]
if A= {1,2,3} and B= {i,o,u} Find A×B
Answer:
GIVEN :
A = { 1 , 2 , 3 } & B = { i , o , u }SOLUTION :
[tex] \large{ \tt{A \times B = \{ \: 1 \:, 2 \: ,3 \} \: \times \: \{ \: i, \: o ,\: u \}}}[/tex]
[tex] \large{ \tt{= \{ \: (1 \:, i \: ) \: (1 \: ,o \: ) \: (1 \: ,u \: ) \: (2 \:, i) \: (2 \: ,o \: ) \: (2 \:, u) \: (3 \:, i) \: (3 \:, o) \: (3 \: ,u) \}}}[/tex]
-Hope I helped! ~
Please feel free to leave any comments if any! :)
Evaluate each of the expressions below using the given value.
[tex]\frac{2a}{3} +13, \:a=15[/tex]
Step 1: Substitute [tex]a[/tex] for 15
[tex]\frac{2(15)}{3} +13[/tex]
Step 2: Solve
Multiply 2 to 1515 × 2 = 30
[tex]\frac{30}{3} +13[/tex]
Divide 30 by 330 ÷ 3 = 10
[tex]10 +13[/tex]
Add 10 to 1310 + 13 = 23
The evaluation of the expression is 23.
Divide and Simplify completely, show your work: I want to see the problem rewritten
as a multiplication problem then solve as you wish and just put in the answer. 2
points for the problem written as a multiplication problem then 2 pts for correct
answer.
3/4 divided by 5/6=
Answer:
The answer is 9/10.
Step-by-step explanation:
Step 1: 3/4/5/6. This means, 3/4 is being divided by 5/6 and so you write it in that form. Take this for an example. 2/4 divided by 3 is 2/4/3.
Step 2: 3/4 ÷ 5/6. This is because, we want the question to be easy to simplify. Also, we want to write the division question as a multiplication problem. And this sign ( / ) means to divide.
Step 3: 3/4 × 6/5. This is because in Maths, when a fraction is dividing another fraction, that fraction is reciprocated ( the fraction at the right side.) Reciprocated here means the denominator is made the numerator and the numerator is made the denominator.
Step 4: 3/2 × 3/5. How? We cancelled out. 2 goes into 4 twice and into 6 thrice.
Step 5: 9/10. We multiplied 3/2 × 3/5 to get 9/10.
Identify the vertex, focus, and directrix of the parabola with equation
x + y^2 + 4y - 1 = 0. (Hint: Complete the square to find the vertex form
of the equation.)
Answer:
Is y
[tex]y = \sqrt{ - } 5 \times + 1[/tex]
Answer:
Hello,
Here is your answer.
Vertex: (5, -2)
Focus: (19/4, -2)
Directrix: x = 21/4
Step-by-step explanation:
Triangle DEF is translated using the rule (x, y) → (x + 4, y - 5).
Use words to describe the distance and direction Triangle DEF is translated
this is due at midnight and I have no idea how to do it
Answer:
I personally have no idea how to do this but quizlet might have the answer
Sorry hope this helps though
Step-by-step explanation:
What is −3/8÷7/12? i really need to know pls
Answer:
Step-by-step explanation:
0.6432
If triangle HBN is congruent to triangle LYR, find the value of x.
Answer:
Step-by-step explanation:
Ti piacciono i banane scimmia
Y is 4 less than the product of 3 x
Answer:
y=4-3x
Step-by-step explanation:
Hope this helps!!!
−7x−6y=2
7x+4y=−6
solve for x and y
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=-\frac{2+6y}{7}[/tex]
[tex]\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-2-2y=-6\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-\frac{2+6y}{7}[/tex]
[tex]\mathrm{Substitute\:}y=2[/tex]
[tex]x=-\frac{2+6\cdot \:2}{7}\\\\x=-2[/tex]
The price of a pair of pants was reduced from $30 to $12. By what percentage was the price of the pair of pants reduced?
Answer:
Well to calculate percentage decrease
(Starting value- ending value / starting value)* 100
so 30-18=12
12/30= 2/5
2/5*100= 200/5
40 percent
Now thats the amount lost so
100%-40%=60%
60% reduction
X+3(2×-4)=-19
help please
Answer:
x = 5
Step-by-step explanation:
X+3(2×-4)=-19
First, solve the brackets.x + 3(-8) = -19
Now, multiply 3(-8).x - 24 = -19
Add 24 to both sides of the equation.x = 5
Enzo begins playing video games at 7:10. He logs off at 7:25.
How long did Enzo play video games?
Answer:
15 minutes
Step-by-step explanation:
725 - 710 = 15
PLEASE MARK ME BRAINLIEST!!!!
Can someone please help me?
Answer:
x ≈ 50.8°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{IK}[/tex] = [tex]\frac{6.2}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6.2}{8}[/tex] ) ≈ 50.8° ( to the nearest tenth )
If 3 cot ∅ = 4 , then (3 sin ∅ + 4 cos ∅)/(3 sin ∅ - 4 cos ∅) ?
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\rm \longmapsto\:3cot\theta = 4[/tex]
[tex]\rm\implies \:cot\theta = \dfrac{4}{3} [/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } [/tex]
[tex]\rm \: = \: \dfrac{sin\theta \bigg[3 + 4\dfrac{cos\theta }{sin\theta } \bigg]}{sin\theta \bigg[3 - 4\dfrac{cos\theta }{sin\theta } \bigg]} [/tex]
[tex]\rm \: = \: \dfrac{3 + 4cot\theta }{3 - 4cot\theta } [/tex]
[tex]\rm \: = \: \dfrac{3 + 4 \times \dfrac{4}{3} }{3 - 4 \times \dfrac{4}{3} } [/tex]
[tex]\rm \: = \: \dfrac{3 + \dfrac{16}{3} }{3 - \dfrac{16}{3} } [/tex]
[tex]\rm \: = \: \dfrac{\dfrac{9 + 16}{3} }{ \dfrac{9 - 16}{3} } [/tex]
[tex]\rm \: = \: \dfrac{25}{ - 7} [/tex]
[tex]\rm \: = \: - \: \dfrac{25}{7} [/tex]
Hence,
[tex]\rm \longmapsto\:\boxed{\tt{ \dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } = - \frac{25}{7} \: }} \\ [/tex]
Additional Information:-
Relationship between sides and T ratios
sin θ = Opposite Side/Hypotenuse
cos θ = Adjacent Side/Hypotenuse
tan θ = Opposite Side/Adjacent Side
sec θ = Hypotenuse/Adjacent Side
cosec θ = Hypotenuse/Opposite Side
cot θ = Adjacent Side/Opposite Side
Reciprocal Identities
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
sin θ = 1/cosec θ
cos θ = 1/sec θ
tan θ = 1/cot θ
Co-function Identities
sin (90°−x) = cos x
cos (90°−x) = sin x
tan (90°−x) = cot x
cot (90°−x) = tan x
sec (90°−x) = cosec x
cosec (90°−x) = sec x
Fundamental Trigonometric Identities
sin²θ + cos²θ = 1
sec²θ - tan²θ = 1
cosec²θ - cot²θ = 1
A contractor purchases 5 dozen pairs of padded work gloves for $70.80. she incorrectly calculates the unit price as $14.16 per pair for the expense report. What is the correct unit prise? What is the error?
Answer:
1 dozen = 12 units
7 dozen = 12 × 7 = 84 units
Correct unit price = 103.32 ÷ 84 = $1.23
The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.
The price he calculated is for the price for 1 dozen, not 1 unit
Step-by-step explanation:
I will give 40 points!!! PLEASE HELP!!!
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 14 to positive 14 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 14, 6, Mall is the ordered pair 10, 6, and School is the ordered pair 10 and negative 4.
Britney traveled from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles did Britney travel than Alice? (1 point)
8 miles
9 miles
10 miles
12 miles
The direct distance from the school to the library, travelled by Alice can be
found using Pythagoras's theorem.
The number of miles Britney travelled more than Alice is; 8 miles
Reason:
The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can
be found with the formula;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
The above formula can be obtained using Pythagoras's theorem.
The distances travelled by Britney are;
Distance from the school to the mall = [tex]\sqrt{(10 - 10)^2 + (6 - (-4))^2}[/tex] = 10
Distance from the mall to the library = [tex]\sqrt{(-14 - 10)^2 + (6 - 6)^2}[/tex] = 24
Total distance travelled by Britney = 24 miles + 10 miles = 34 miles
The distance travelled by Alice is from the school to the library, which
gives; Alice's distance = [tex]\sqrt{(10 - (-14))^2 + (-4 - 6)^2}[/tex] = 26
Distance travelled by Alice from the school to the library is 26 miles
The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles
Therefore;
Britney traveled 8 miles more than Alice
Learn more here;
https://brainly.com/question/3508899
Write an equation of the line that passes through each pair of points.
(-3,9), (-3,-5)
** Will mark brainliest, please show work!**
Answer:
y = 0x - 5 or just y = -5
Step-by-step explanation:
use the slope intercept equation
y2 - y1
x2 - x1
- 5 - 9 = 14
-3 + 3 = 0
14 / 0 = 0
so the slope is undefined
take one of the points (let's use -3, -5) and plug that in the slope intercept form (y = mx+b)
so -5 = 0(-3)+b
0 • 3 = 0 so the b (or y intercept) equals -5
so the equation is y = -5
The mass of a standard hockey puck must be at least 156 grams. What is the minimum mass of 8 hockey pucks in kilograms?
7. The relation y = 7x + 35 represents the monthly cost y (in dollars) of a group of
x members joining the fitness club.
a. Identify the independent and dependent variables.
b. Your group has enough money for up to six members to join the fitness club.
Find the domain and range of the function.
c. Is the relation a function?
Answers and Step-by-step explanation:
a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.
b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.
c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).
A domain can not have multiple ranges. A range can have multiple domains though.
The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.
What is an equation?In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
y = 7x + 35, x members joining the fitness club and y is cost.
(a) As you can see from the equation, y depends on the value of x,
(b) Calculate the amount of x = 6 (as given)
y = 7 × 6 + 35
y = 42 + 35
y = $77
The domain of the function is 6 and the range is 77.
(c) Yes, as we put the values in x, y also changes, so it is a function.
To know more about equations:
https://brainly.com/question/12788590
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Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
Answer:
20
Step-by-step explanation:
[tex]f(x) = 2|x + 6| -4[/tex]
Step 1: Substitute [tex]x[/tex] for the given function.
6 is the given function.
[tex]f(x) = 2|x + 6| -4\\=f(x) = 2|6 + 6| -4\\\\f(x) = 2|6 + 6| -4\\=24-4\\\\=20[/tex]
Order the fractions from least to greatest .
The first one is
2/3
Answer:
2/9 < 11/18 < 2/3 < 5/6
f(x) =
- 2x + 2, x < 3
-1, x > 3
Evaluate the function when x = 5.
f(5)
---
Evaluate the function when x = 3.
=
f(3) =
Answer:
f(5)=14
f(3)=122
Step-by-step explanation:
I need help please and thank you
What is 3(xy) = 3(xy)?
Answer:
it is an equation that is always valid
Step-by-step explanation:
3(xy) = 3(xy)
3(xy)-(3xy) = 0
0 = 0
Imagine math. which boxes do I put the equations in, and what kind of formulas or equations I can use to solve them?
Step-by-step explanation:
3x3x3x3x3x3 = 3^6
3x3x3 = none
6x6x6 = 6^3
6+6+6 = 6x3
3 + 6 = none
3+3+3+3+3+3 = none
Answer:
For box 3^6:
3×3×3×3×3×3
For box 6^3:
6×6×6
For box 6×3:
6+6+6
3+3+3+3+3+3
For None:
6+3
3×3×3
Hope this helps! Brainliest would be really appreciated!
Alvin's age is two times Elga's age. The sum of their ages is 69. What is Elga's age?
Answer:
23
Step-by-step explanation:
69 divided be 3
= 23
step 2
23 + 23 = 46 ( Alvin age)
step 3
69 -46= 23 Elga age
Answer:
Elga's age is 23
Step-by-step explanation:
To solve this, we need to make our equation.
2x+x=69
In this equation, 2x is Alvin's age, while Elga's age is x. The 69 is the sum of their ages.
Combine the like terms in this equation.
3x=69
Divide both sides by 3
3/3x=69/3
x=23
Elga's age is 23, but we still need to check to make sure we are correct.
To do this, plug in 23 for x.
2(23)+23=69
46+23=69
69=69
Do we get a true statement? Yes, so we are correct.
I'm not very good at algebra I need help with this lol
Answer:
Answer is 33
Step-by-step explanation:
If x equals 3, then the equation simplifies to 6 squared - (9/3)
9 divided by 3 is 3, then 6 squared is 36.
36-3 = 33. Hope this helps!