The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.
Tammy has 23 nickels and 12 quarters.
Let's represent the number of:
Nickels = n
Quarters = q
It is important to note that the value of:
1 nickel = $0.05
1 quarter = $0.25
Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:
n + q = 35
This can be rewritten as :
n = 35 - q
In all, she has $4.15. This statement can be represented using an algebraic equation below:
0.05n + 0.25q = 4.15
We substitute 35 - q for n in the above equation.
0.05(35 - q) + 0.25q = 4.15
1.75 - 0.05q + 0.25q = 4.15
Collect like terms
- 0.05q + 0.25q = 4.15 - 1.75
0.2q = 2.4
Divide both sides by 0.2
0.2q/0.2 = 2.4/0.2
q = 12
Therefore, the number of quarters Tammy has is 12.
Solving for the number of nickels, we have the equation:
n = 35 - q
n = 35 - 12
n = 23
Therefore, the number of nickels Tammy has is 23.
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Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.
Congruent triangles are triangles with equal corresponding sides.
The triangles are congruent
From the question (see attachment), we have the following observations.
Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with IIIThe above highlights mean that:
The corresponding sides are congruent by SSS theorem
Hence, your classmate's claim is incorrect.
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Find the missing angle measures.
What is m∠2?
a 40
b 60
c 50
d 100
Alex made 135 out of 540 cookies for the bake sale. What percent of cookies did Alex make for the bake sale?
A. 40%
B. 30%
C. 25%
D. 50%
Answer:
c) 25%
Step-by-step explanation:
135÷540=0.25
so 25%
A square has a area of 121 square centimeters. what is the length of each side
how do you do this, thanks for helping
Answer:
A: (-7, -4)
B: (-3, 8)
Step-by-step explanation:
Ordered pairs are (x,y).
Count the lines and see:
A is 7 to the left and 4 down so (-7, -4)
B is 3 to the left and 8 up so (-3, 8)
REMEMBER X IS ALWAYS FIRST!!
Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)
Hope that helps!
Find the 11" term of the following geometric sequence.
5, 15, 45, 135, ...
please help me with this
Answer:
Okay the answer is
Answer:
3+(4+5) - (3+4)+5
7 . (2 . 5) - (7 . 2) . 5
5 . 9 - 9 . 5
3+4 - 4+3
The Dot's mean multiplication
Step-by-step explanation:
Solve for x.
(x÷2)+6=50
x = 22
x = 28
x = 38
x = 88
The answer is x = 88
What are the differences and similarities between the the graphs and equations of circles and ellipses?
help is very much needed
Answer:
IT'S NEGATIVE 3. HOPE THIS HELPS...
answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
Mmmmm help HELPPPPP,,,,,,
Answer:
I guess it's 63degrees
I hope it will help
Make y the subject of this equation:
P-3=qy
Answer: (P - 3)/q = y
Clay gave four friends seven ball cards
each. How many cards did he give to his
friends?
What is the value of 5+6−32(8÷14)?
Answer:
-7.3
Step-by-step explanation:
GUYSSS PLSSS HELP ME WITH THIS QUESTION :))
Answer:
17
Step-by-step explanation:
1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;
2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.
3) according to the items 1 and 2 x∈[12;52/3);
4) the largest prime number is 17.
Please help !!! Will mark as brainliest !!!
Answer:
So the answer would be (A.
Step-by-step explanation:
Please help! I need help T-T
Answer:
$130.00
Step-by-step explanation:
674-284=390
390/3=130
what that person said :(
If an area of a circle is 65.71cm*2 what is the radius? Round the answer to 2DP.
Answer:
4.57
Step-by-step explanation:
square root of 65.71 divided by pie
The table shows a set of values for x and y
a) Assume y = [tex]x^{2}[/tex]
[tex]1b=\frac{k}{1^{2} }[/tex] k = 1b
[tex]y=\frac{1b}{x^{2} }[/tex]
b) y = 25
[tex]x^{2}=\frac{16}{25}[/tex]
[tex]x=\sqrt{\frac{4}{5} ^{2} }[/tex]
x = ±[tex]\frac{4}{5}[/tex]
x > 0, x = 4/5
{ Equation }
y=16/x² is required equation for y in terms of x and x=4/5 when y=25.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The table of values are
x 1 2 3 4
y 16 4 16/9 1
Given that y is inversely proportional to square of x.
y=k/x²
Let us consider
y=16 and x=1
16=k/1
k=16.
y=16/x²
So y=16/x² is equation for y in terms of x
b) We need to find value of x when y=25
25=16/x²
Use cross multiplication
x²=16/25
Take square root on both sides
√x²=√16/25
x=±4/5
If x>0 , so x=4/5
Hence y=16/x² is required equation for y in terms of x and x=4/5 when y=25.
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Multiply and simplify
Answer and explanation:
1. 2 × 3/10 = 6/10 = 3/5
2. 8 × 4/8 = 32/8 = 4
3. 9 × 3/9 = 27/9 = 3
4. 12 × 2/11 = 24/11 = 2 2/11
5. 3 × 5/7 = 15/7 = 2 1/7
6. 2 × 3/5 = 6/5 = 1 1/5
7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2
8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2
9. 5 × 1/4 = 5/4 = 1 1/4
10. 11 × 2/7 = 22/7 = 3 1/7
Hope this helps!
-x^4+2x^3+8x=0. solve by factoring
2.93114246
Step-by-step explanation:
Which inequality best represents that icecream at -3⁰C is cooler than icecream at 1⁰C?
Answer:
Ice cream at -3 c is cooler than 1 C therefore since you are looking to know which one is cooler > would be the best option.
Step-by-step explanation:
Have a wonderful day!
solve please :3 will mark brainliest !!
__________
[tex] \: [/tex]
6f = $15
8f = $20
10f = ?
Soo :
2f = 5
f = 2,5
10f = 10(2,5) = $25✔
The cost of the wire of the third length in the table is, 25 dollars
We have to give that,
The cost of a certain type of wire varies directly with its length.
Now, From the table the equation between cost and length is,
y - 15 = (20 - 15)/(8 - 6) (x - 6)
y - 15 = (5/2) (x - 6)
y - 15 = 2.5x - 15
y = 2.5x
Where y represents the cost and x represent the length.
Hence, At x = 10 feet
y = 2.5 (10)
y = 25 dollars
So, The cost of the wire is, 25 dollars
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Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?
Based on the calculation, we can say that there is an extraneous solution to the equation
Given the equation solved by Marc expressed as:
[tex](\sqrt[4]{x})^3=5[/tex]
We are to check if the indices equation has an extraneous equation.
According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:
[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]
Raise both sides to the power of 4/3 as shown:
[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]
This shows that there is an extraneous solution to the equation
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Martin finds a shirt on sale
Solve the equation, y = 7x + 10, using the x-values, 3, 5, and 8.
Which of the following T-tables represents the ordered pairs?
Please help !!
Answer:
y=7%283%29%2B10
y=21%2B10
y=31
(3,31)
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
The points (18,21) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer: 5/2
Step-by-step explanation: 49 - 42/ 21 - 18
Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?
Answer:
35
Step-by-step explanation:
The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.
Does the graph represent a function? Why or why not?
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Can i get braineist pls