By solving a system of equations, we will see that Maggie has 18 dimes and 9 quarters.
How to write the system of equations?First, we define the variables that we will use:
D = number of dimes.Q = number of quarters.There are a total of 27 coins, so:
Q + D = 27.
The total value is 4.05, so:
Q*0.25 + D*0.10 = 4.05
Then our system of equations:
Q + D = 27
Q*0.25 + D*0.10 = 4.05
To solve this we need to isolate one of the variables in one of the equations, I will isolate Q in the first one.
Q = 27 - D
Now we can replace this on the other equation and solve it for D:
(27 - D)*0.25 + D*0.10 = 4.05
6.75 - D*0.25 + D*0.10 = 4.05
6.75 - D*0.15 = 4.05
6.75 - 4.05 = D*0.15
2.70 = D*0.15
2.70/0.15 = D = 18
So she has 18 dimes, and then the other 9 conis must be quarters.
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Two workers can make two chairs in two days. How many chairs can 8 workers working at the same rate make in 20 days?
Two workers can make two chairs in two days. 8 workers working at the same rate can make 80 chairs in 20 days.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Two workers can make two chairs in two days.
Hence:
one worker make one chair in two days, hence:
8 workers would make 8 chairs in 2 days. In 20 days, number of chairs made = 8 * (20/2) = 80 chairs
Two workers can make two chairs in two days. 8 workers working at the same rate can make 80 chairs in 20 days.
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(1/8)⁴ as a fraction
What does CPCTC mean in Geometry AND when it is used?
Answer:
Corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
With SSS, SAS, ASA, and AAS, you know how to use three congruent parts of two triangles to show that the triangles are congruent. Once you know that two triangles are congruent, you can make conclusions about their other corresponding parts because, by definition, corresponding parts of congruent triangles are congruent.
CPCTC is an acronym for corresponding parts of congruent triangles are congruent.
The usage
CPCTC is often used to determine the similarities and congruence of two or more triangles.
Take for instance, the SSS congruence theorem means that the triangles are similar or congruent by Side-Side-Side.
Using CPCTC, it helps to know when the corresponding sides and/or the corresponding angles of the triangles that are being com pared are congruent.
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PLEASE ANSWER! Giving away 15 points if someone answers!!!
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply. A. One pound of pistachios plus 1 pound of almonds cost $20. B. The pistachios cost twice as much per pound as the almonds. C. Reducing the number of pounds of almonds by one results in a total cost of $40. D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48. E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Answer:
Option A and C.
Step-by-step explanation:
Venetta buys 2 pounds of pistachios and 3 pounds of almonds for $48.
The cost of pistachios $4 more per pound than the almonds.
Let the cost of almonds be a
Therefore, cost of pistachios p = 4 + a ------(1)
Venetta bought 2 pound of pistachios and 3 pounds of almonds for $48, so the equation will be
2p + 3a = 48 -----------(2) [we will substitute equation 1]
2(4+a) + 3a = 48 --------------(3)
(2 × 4) + (2 × a) + 3a = 48
2a + 3a + 8 = 48
5a + 8 = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
hence the cost of almonds are $8 per pound.
the cost of pistachios is 4 + 8 = $12 per pound.
Option A and C is the correct answer.
How would you regroup 4 tens to find the difference between 341 and 228
subtract.
−5 1/3−2 1/3
Enter your answer in the box as a simplified mixed number.
Answer:
−7 2/3
Step-by-step explanation:
You need to simplify both of the fractions before doing the math.
Step 1
Simplify!
-16/3 - 7/3
Step 2
Very lucky you! The denominators are the same! No making edits to fractions. Just subtract.
-16/3 - 7/3 = -23/3
BUT ITS NOT THE ANSWERYou need to turn it into a mixed number.
Step 3
Divide -23 by 3. INCLUDE REMAINDERS!
-7 r2
Step 4
Place the 2 in the numerator, and the -7 is the number! Nothing happens to 3.
-7 2/3
Thus, −5 1/3−2 1/3 = -7 2/3.
The value of the expression (−5 1/3) − (2 1/3) will be −7 2/3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ (−5 1/3) − (2 1/3)
Simplify the expression, then we have
⇒ (−5 1/3) − (2 1/3)
⇒ −16/3 − 7/3
⇒ −23/3
⇒ −7 2/3
The value of the expression (−5 1/3) − (2 1/3) will be −7 2/3.
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-6(x-5)>42 and plz show how you got it
Part B : What would the math be to show how I did the math? HELP ME PLZ!!
Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.
We find that p+q = 17.
To find p+q, we need to solve the given equation step by step:
(q+4)(p+3) - (q+2)(p+1) = 44
Expanding both products, we get:
qp + 3q + 4p + 12 - qp - q - 2p - 2 = 44
We notice here that the 'qp' terms cancel each other out. Simplifying, we are left with:
2q + 2p + 10 = 44
Subtracting 10 from both sides gives:
2q + 2p = 34
Divide by 2:
q + p = 17
Therefore, p+q = 17.
To which place value is the number rounded? 8.293 to 8.29?
the larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers
If a 40-m rope is cut into two pieces in the ratio 3:5 how long is each piece
Final answer:
The 40-m rope cut in a 3:5 ratio gives a 15 m piece and a 25 m piece. Doubling the rope length to 80 m with the same ratio yields a 30 m piece and a 50 m piece.
Explanation:
To find the length of each piece of a 40-m rope cut in the ratio 3:5, we need to work out the parts of the rope that each ratio value represents. First, we add the parts of the ratio together: 3 + 5 = 8 parts in total. Then, we find the length of each part by dividing the total length of the rope by the total number of parts: 40 m ÷ 8 = 5 m per part. Furthermore, to find the length of the smaller piece, we multiply the size of one part by 3, and for the longer piece, we multiply by 5.
Length of smaller piece = 3 parts × 5 m/part = 15 mLength of larger piece = 5 parts × 5 m/part = 25 mArjun ran 19 miles less than Brenda last week .Arjun ran 14 miles . How many miles did Brenda run
Paulo paid $12.25 For some pencils and pens. He bought 19 more pencils than pens. the pencils cost.25 cents each and the pens cost$1.25 each. How many pens and pencils did Paulo buy?
how to do a=b+c plz explain there all variables and your solving for c
Which equation demonstrates the distributive property?
A) 14 + 77 = 91
B)14 x 77 = 77 x 14
C)14 + 77 = 7(2 + 11)
D)(2 + 11)7 = 7(2 + 11)
Suppose a seventh grader birthday is today,and she is 12 years old.how old was she 3 1/2 years ago?draw a number line
What is the factorization of 400 using exponents
Cole had 3/4 of an hour of free time before dinner he spent 2/3 of that time playing the guitar how long did he play the guitar
a sofa is on sale for $259, which is 26% less than the regular price. what is the regular price?
Regular price of sofa is $ 350.
What is Selling price?Selling price is defined as the price that a customer pays to purchase a product.
Selling price of Sofa is $259
Let the regular price is x
So, sale price is 26% lower than regular price =
x * (100 - 26)/100 = 0.74x
So, 0.74x = 259
Or, x = 259/0.74 = $ 350
Hence, regular price of sofa is $ 350.
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What is 33/40 as a decimal? Please explain how you got it.
40 POINTS!!!!
I HAVE NOO IDEA WHAT THIS IS
PLEEAAASSEEE HELP ME!!!!!!!!!!!!!!!!!!!!
PLEASE DO THIS SMALL PAGE
IF U CANNOT SEE THE VOCABULARY CLEARLY I ADDED A PICTURE!
PLEASE HELP I CANNOT DO THIS!!
40 POINTS (IM OUT OF POINTS D:)
Use parentheses to make the statement true: 8 x 4 - 2 x 3 + 8 divided by 2 = 25
(Order of operations)
what percent of 50 is 18?
Sandra runs at a rate of 8 miles in 45 minutes how does her unit rate compared to terrance's in Jessie's
Sandra's unit rate is 0.178 miles per minute, which is lower than Terrance's rate of 0.2 miles per minute and higher than Jessie's rate of 0.133 miles per minute.
Explanation:To compare the unit rates of Sandra, Terrance, and Jessie, we need to determine how many miles they can run in one minute.
For Sandra, the unit rate is 8 miles in 45 minutes. To find the unit rate per minute, we divide 8 by 45, which is approximately 0.178 miles per minute.For Terrance, the unit rate is 6 miles in 30 minutes. Dividing 6 by 30 gives us a unit rate of 0.2 miles per minute.For Jessie, the unit rate is 2 miles in 15 minutes. Dividing 2 by 15 gives us a unit rate of 0.133 miles per minute.Comparing the unit rates, Terrance has the highest rate at 0.2 miles per minute, followed by Sandra at 0.178 miles per minute, and Jessie at 0.133 miles per minute.
Complete question:
Sandra Runs at a rate of 8 miles in 45 minutes. how does her unit rate compare to Terrance and Jessie (Terrance 6 miles per half an hour jesse 2 miles every 15 minutes).
Add. (5y - 1) + (-2y + 4) A) 3y - 5 B) 3y + 3 C) 7y + 3 D) 7y - 3
Becky has one piece of paper. She cuts the paper in half and then has two pieces. She cuts these in half to get four pieces. The process continues. Which describes how many pieces she has at each step? (a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2 (b) p(1) = 1; p(n) = 1/2p(n-1), for n is greater than or equal to 2 (c) p(1) = 1; p(n) = p (n-1) +1, for n is greater than or equal to 2
1 piece cuts into 2, 2 pieces cuts into 4, 4 pieces get cut into 8, so there is a multiple of 2 involved so the equation needs a multiple of 2 in it.
The correct answer is a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2
alexia charges 15 dollars an hour to repair air conditioners. organize the data for the coat of reparing air conditioners. write a graph an equation representing the function . graph the finction
You know the measures of two interior angles of a triangle. How can you find the measure of the third interior angle?
Round each decimal to the nearest one then subtract $3.85-$2.17
To round $6.375 to the nearest one, it becomes $6.38. To subtract $3.85-$2.17, the result is $1.68.
Explanation:To round decimal numbers to the nearest whole number, you will determine whether the decimal portion is closer to the previous or next whole number. If it is less than 0.5, you will round down, and if it is 0.5 or greater, you will round up. In this case, $6.375 is closer to $6.38, so you would round it up to $6.38.
To subtract decimals, you align the decimal points and subtract each place value from left to right. In this case, you would subtract $2.17 from $3.85:
$3.85
- $2.17
= $1.68
To round each decimal to the nearest one and then subtract $3.85 - $2.17, you start by rounding each number individually. $3.85 rounds to $4.00, and $2.17 rounds to $2.00. Once rounded, you then subtract the rounded numbers to find the total. So, it would be $4.00 - $2.00, which equals $2.00.