Using a system of equations based on the ratio of baskets made by Mr. McDonagh to Ms. Klein (13 to 2) and the information that Mr. McDonagh made 22 more baskets than Ms. Klein, we determine that Ms. Klein made 4 baskets and Mr. McDonagh made 26 baskets.
To solve how many baskets each person made, we will set up a ratio and use algebra to find the number of baskets made by Mr. McDonagh and Ms. Klein. We are given that for every 13 baskets Mr. McDonagh made, Ms. Klein made 2. Let's denote the number of baskets Mr. McDonagh made as M and the number of baskets Ms. Klein made as K.
According to the ratio, we can write [tex]\frac{M }{ K} = \frac{13 }{ 2}[/tex]. We also know that Mr. McDonagh made 22 more baskets than Ms. Klein, which can be written as M = K + 22. Now we have a system of equations:
[tex]\frac{M }{ K} = \frac{13 }{ 2}[/tex]
M = K + 22
Substitute M in the first equation with (K + 22):
[tex]\frac{K+22 }{ K} = \frac{13 }{ 2}[/tex]
2(K + 22) = 13K
2K + 44 = 13K
44 = 11K
Divide both sides by 11:
K = 4
Ms. Klein made 4 baskets. Now we can find how many baskets Mr. McDonagh made by substituting K back into one of our original equations:
M = 4 + 22
M = 26
Mr. McDonagh made 26 baskets.
Change 50% to a decimal, then a fraction.
50% is .5 as a decimal and 1/2 as a fraction
0.5 and fraction 1/2
The world's largest aloha shirt measures 4.26 meters around the chest. Round 4.26 to the nearest ones place and to the nearest tenths place
Rounding the world's largest aloha shirt measurement, 4.26 meters, results in 5 to the nearest ones place and 4.2 to the nearest tenths place.
To round the measurement of the world's largest aloha shirt to the nearest ones place, we look at the decimal part of the number 4.26. Since the digit after the decimal is 6 (which is 5 or higher), we round up the number 4 to 5. Therefore, when rounded to the nearest ones place, 4.26 becomes 5.
To round to the nearest tenths place, we only need to consider the first digit after the decimal point. In this case, that digit is 2, which means there is no need to round up or down; the tens digit stays the same. So, when rounded to the nearest tenths place, 4.26 remains 4.2.
The perimeter of parallelogram id 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length and the width of the parallelogram. Write and solve an equation for each situation.
Width=19
Length=17
72-4=68/2=34/2= 17 length
72-4=68+4=38/2=19 width
plz help me and explain how you got your answer thx
Answer:
The correct answer would be C = 533,800
Step-by-step explanation:
The formula for circumference is C = 2πr. To find the radius you must divide the diameter by 2.
Radius = 85000
now we have C = 2 * 85000 * 3.14
C = 533,800
Scientific Formula = 5.338 x 10^6
2x_>6 Underline the >
The 2x means "2 times x". We can write it as "2*x" to be more clear that we're using multiplication. Two times some number is larger than 6. To figure out the possible numbers, we divide both sides by 2
[tex]2x \ge 6[/tex]
[tex]\frac{2x}{2} \ge \frac{6}{2}[/tex]
[tex]x \ge 3[/tex]
So x can be 3 or larger
Kendra is making a large salad for a party. She buys lettuce for 2.25 per pound and tomatoes for 2.65 per pound. She spends at least $8. Let x represent the number of Linda of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys. Which inequality represents this situation ?
Answer:
Step-by-step explanation:
Kendra buys x pounds lettuce.
If lettuce costs $2.25 per pound.
Then for x pounds of lettuce,
cost=2.25x
Kendra buys y pounds tomatoes.
If tomatoes costs $2.65 per pound.
Then for y pounds of tomatoes,
cost=2.65y
So, total cost=2.25x+2.65y
Now, this total cost will be at least $8
So, the inequality is-
[tex]2.25x+2.65y\geq8[/tex]
The problem can be represented by the inequality [tex]2.25x + 2.65y \geq 8[/tex] where x is the number of pounds of lettuce Kendra buys and y is the number of pounds of tomatoes she buys. The total cost of the vegetables equals or exceeds $8.
Explanation:In this situation of buying lettuce and tomatoes, the cost of lettuce per pound is $2.25 and the cost of tomatoes per pound is $2.65. Kendra spends at least $8 on lettuce and tomatoes. Let x represent the number of pounds of lettuce that Kendra buys and let y represent the number of pounds of tomatoes that she buys. Understanding the problem, the inequality that represents this situation is
[tex]2.25x + 2.65y \geq 8[/tex]. This is because each pound of lettuce ('x') is multiplied by its cost, and each pound of tomatoes ('y') is multiplied by its cost. If Kendra spends at least $8, then the total cost equals or exceeds $8.
Learn more about Inequalities here:https://brainly.com/question/30231190
#SPJ3
jared has two cakes that are the same size. The first cake was chocolate, which he cut 12 equal parts. The second cake was marble, which he cut into 6 equal parts. His family eats 5 slices if chocolate cake and 3 slices of marble cake. Did they eat more chocolate cake or marble cake?
Final answer:
After comparing the fractions of the chocolate cake (5/12) and the marble cake (1/2 or 6/12) eaten by the family, it's clear that they ate more marble cake as 6/12 is greater than 5/12.
Explanation:
Jared cut a chocolate cake into 12 equal parts and a marble cake into 6 equal parts. After his family ate 5 slices of chocolate cake and 3 slices of marble cake, we want to determine which type of cake they ate more of. To compare the quantities directly, we consider the size of each individual slice. A chocolate cake is cut into 12 pieces, so each slice represents 1/12 of the full cake. The marble cake is cut into 6 pieces, meaning each slice is 1/6 of the entire cake. Therefore, when the family ate 5 slices of chocolate cake, they consumed 5/12 of the chocolate cake, and consuming 3 slices of marble cake equates to 3/6, or 1/2 of the marble cake.
To compare these fractions, we can notice that 1/2 is equivalent to 6/12 when converted to have a common denominator. Comparing 5/12 and 6/12, it is clear that 6/12 is greater. Thus, the family ate more marble cake than chocolate cake.
Help ASAP!!!
Fill in the four blanks
First answer and correct answer gets the brain
And zoom in if you cannot read
Jessica has 1,368 baseball cards and tones has 1,633 who has more baseball cards. You think it is easy but it is really hard
I'm not sure what you mean when you say "You think it is easy but it is really hard".
Tones has the greatest number. So in this case tones has more base ball cards than Jessica. Hope this helps!!!! Good luck!!!!
BRAINLIEST ANSWER TO FIRST ANSWERER
Which of the following are exterior angles? Check all that apply.
A. 5
B. 6
C. 2
D. 4
E. 1
F. 3
C. <2 is the correct answer
Write into an algebraic expression. Double the sum of 2 and x increased by one-half x squared.
Final answer:
The algebraic expression for 'Double the sum of 2 and x increased by one-half x squared' is 2(2 + x) + (1/2)x².
Explanation:
To translate the phrase 'Double the sum of 2 and x increased by one-half x squared' into an algebraic expression, we break it down into parts:
The sum of 2 and x is given by the expression (2 + x).
Double this sum can be written as 2(2 + x).
One-half x squared is written as (1/2)x².
Increasing the doubled sum by one-half x squared means adding (1/2)x² to it.
Therefore, the complete algebraic expression is 2(2 + x) + (1/2)x².
Regarding the concept of squaring of exponentials, remember that when you square a term like x², you are effectively raising x to the power of 4 because the exponents are multiplied.
a family cell phone plan cost $50 per month for 900 minutes and 40 cents per minute over the limit. this month thr family paid $95.20. by how much time did they exceed their plan
95.20-50= 45.20
45.20/.40= 113
they went 113 minutes over their plan
The family exceeded their plan by 113 minutes.
Explanation:To find out how much time the family exceeded their plan, we need to subtract the included minutes from the total minutes used and then divide by the overage rate. The included minutes in the plan are 900, and the cost per minute over the limit is $0.40. The total amount paid by the family is $95.20. Let's calculate:
Total minutes used = Total amount paid - Cost of the plan = $95.20 - $50 = $45.20
Exceeded minutes = Total minutes used - Included minutes = $45.20 / $0.40 = 113 minutes
The family exceeded their plan by 113 minutes.
Learn more about Cell phone plan here:https://brainly.com/question/20116109
#SPJ
What is the value of m?
12+(7+m)=30
Drag and drop the correct answer in the box.
m =
A-11 B-19 C-25 D-35 E-49
The answer is a-11 for the value of m
The value of m is A
12+(7+11)=30
A candle is 12 inches tall and burns at a rate of 1 inch per hour. Write an equation that you could use to determine how long it would take for the candle to be 2 inches tall.
At a restaurant 42 people had breakfast on Saturday morning. 1/7 ate eggs only 2/3 ate both pancakes and eggs the remaining ate pancakes only. How many people ate pancakes
Answer:
8
Step-by-step explanation:
There are 42 people who had breakfast. Each person had either egg or pancake or both.
Of these only eggs were 2/3 and both were 2/3
Hence the remaining ate only pancakes
i.e. portion of persons who ate pancakes = 1-(1/7+2/3)
= 4/21
Total no of people in the restaurant = 42
Of those people who ate eggs only= 1/7 (42) = 6
No of persons who ate both pancakes and eggs = 2/3(42) = 28
Hence no of persons who ate only pancakes =42-(6+28) = 8
according to the Food and Drug Administration, the recommended daily intake of iron is 18 mg. This is 4 less than twice the recommended daily intake of zinc. What is recommended daily intake of zinc
A swimming pool is 50 meters long. How many times would a swimmer have to swim the length of the pool in order to swim 1 kilometer?
one lap is .05 km so it will take 20 laps
Write a decimal subtraction equation that requires regrouping from the tenths. Explain how you know you will need to regroup.
Answer:
1)For example we need to find 54 -41.2
Step 1: Write down the both numbers, one under the other, with the once digit in same line.
54
-41.2
Step2: Now,add zeros so the numbers to make the same length .
54.0
-41.2
Step3: Then subtract normally, remembering to put the decimal point in the answer
54.0
-41.2
12.8
2)Here we need to subtract same place values of second number from the first number starting from right side, We can see to subtract 2 from 0 we need to take carry from 4 (4 will become 3)so that it will become 10 to subtract 2 from it ,thus we get our answer 12.8.
The decimal subtraction problem 0.72 - 0.58 requires regrouping from the tenth place. This is because you cannot subtract 8 from 2 without regrouping. The final answer, after regrouping and subtracting is 0.14.
Explanation:A decimal subtraction equation that requires regrouping from the tenths could be as follows: 0.72 - 0.58. In this problem, you cannot subtract 8 (in the hundredth place) from 2 (also in the hundredth place) without regrouping because 2 is less than 8. Therefore, you need to regroup from the tenth place.
To do this, you take one-tenth (0.10) from the tenth place, leaving you with 0.62 instead of 0.72. This action adds ten hundredths (0.10) to the hundredths place, turning our 0.02 into 0.12. Now, you can subtract 8 from 12 in the hundredth place, and you can subtract 5 from 6 in the tenth place, leaving you with the answer: 0.14.
Learn more about Decimal Subtraction here:https://brainly.com/question/2346316
#SPJ3
Miss Rivera has art for specials every second day and Miss Sunshine Has art every 9th day when will both classes have art on the same day
Answer:
On the 18th day.
Step-by-step explanation:
You have to find common multiples for 9 and 2.
The common multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18 and more
The common multiples of 9 are: 9, 18, and more
The least same multiple is 18 so the answer is 18.
Based on the lowest common multiple of 2 and 9, both classes will have art on the 18th day.
What is the lowest common multiple?The lowest common multiple of two numbers are the lowest multiple that each number can divide without a remainder.
For instance, 2 can divide 18 to get 9. Similarly, 9 can divide 18 to get 2.
On the other hand, the multiples of 2 include 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, etc.
The multiples of 9 include 9, 18, 27, 36, etc.
The common factor or multiple between 2 and 9 is 18.
The art class for Miss Rivera occurs every 2nd day
The art class of Miss Sunshine occurs every 9th day
Thus, using the LCM, the art classes will occur on the same day = 18 (2 x 9)
Learn more about the LCM at https://brainly.com/question/16054958.
#SPJ4
Can I know what is a consonant blend?? Pleasssssss
Consonant blends (also called consonant clusters) are groups of two or three consonants in words that makes a distinct consonant sound, such as "bl" or "spl." Consonant digraphs include bl, br, ch, ck, cl, cr, dr, fl, fr, gh, gl, gr, ng, ph, pl, pr, qu, sc, sh, sk, sl, sm, sn, sp, st, sw, th, tr, tw, wh, wr.
Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb = 454 g How much does the parcel weigh to the nearest whole kilogram?
Answer:
Weight of parcel to the nearest whole kilogram = 6 kg
Explanation:
Weight of parcel = 12 lbs 8 oz
1lb = 16 oz also we have 1lb = 454 g
Weight of parcel = 12 lbs 8 oz = 12 + (8/16) lbs = 12.5 lbs
Weight of parcel in g = 12.5*454 = 5675 g
Weight of parcel = 5675 g = 5.675 kg
Weight of parcel to the nearest whole kilogram = 6 kg
To convert the weight of a 12 lbs 8 oz parcel to kilograms, you first convert the weight to ounces, then to grams, and finally to kilograms. The final conversion results in a weight of approximately 5.67 kg, which is rounded to the nearest whole number as 6 kg.
Explanation:The weight of a parcel can be converted from pounds and ounces to kilograms using a two-step process. First, you need to convert the entire weight into ounces, and then convert that result to grams. Finally, convert grams to kilograms.
To convert 12 lbs 8 oz to ounces, calculate as follows: (12 lbs × 16 oz/lb) + 8 oz. This equals 192 oz + 8 oz = 200 oz.
To convert ounces to grams: 200 oz × 28.35 g/oz gives 5670 g.
To find the weight in kilograms, divide the number of grams by 1000, because 1 kg = 1000 g. So, 5670 g ÷ 1000 g/kg gives 5.67 kg. To the nearest whole kilogram, the package weighs 6 kg.
*Simple math question* The eighth grade class at grade school has 15 girls and 14 boys. How many different boy-girl dates can be arranged?
The eighth grade class at grade school has 15 girls and 14 boys. The different boy-girl dates that can be arranged is 210 boy-girl.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The eighth grade class at grade school has 15 girls and 14 boys.
The different boy-girl dates can be arranged
15 x 14 = 210
210 boy-girl
Hence, The different boy-girl dates that can be arranged is 210 boy-girl.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
To determine how many different boy-girl dates can be arranged from 15 girls and 14 boys, multiply the number of boys by the number of girls, leading to 210 different boy-girl dates.
The question asks how many different boy-girl dates can be arranged if an eighth-grade class has 15 girls and 14 boys. To solve this, we can use the concept of multiplication principle in combinations. Each boy in the class has the option to date any of the 15 girls. This means each of the 14 boys has 15 choices for who to date. Therefore, to calculate the total number of distinct boy-girl date arrangements, we multiply the number of boys by the number of girls they can potentially date.
Calculating: 14 boys × 15 girls = 210 different boy-girl dates can be arranged.
This simple calculation shows how combinations are used to determine possibilities in everyday scenarios, reinforcing the importance of basic arithmetic skills in problem-solving.
Mr.Hower can buy a computer with a down payment of 510 and 8 monthly payments of 35.75 if he pays cash for the computer the cost is 699.99 how much money will he save if he pays cash for the computer instead of paying monthly payments?
Mr. Hower will save $96.01 if he pays cash for the computer instead of making monthly payments.
Explanation:To determine how much money Mr. Hower will save if he pays cash for the computer instead of making monthly payments, we need to compare the total cost of both options.
First, let's calculate the total amount paid with monthly payments:
Down payment: $510
Monthly payments: 8 payments of $35.75
Total paid with monthly payments = Down payment + (Monthly payment amount × Number of payments)
$510 + ($35.75 × 8) = $510 + $286 = $796
Now, let's compare it to the cash price:
Cash price: $699.99
Savings if pays in cash = Total paid with monthly payments - Cash price
$796 - $699.99 = $96.01
So, Mr. Hower would save $96.01 if he pays cash for the computer instead of using the monthly payment option.
Learn more about Cost savings here:https://brainly.com/question/40240598
#SPJ2
Ping's Ice Cream Palace offers a special sundae that contains over 2 kilograms of ice cream plus any number of toppings.
Write an inequality that describes S, the weight of the special sundae in kilograms.
The inequality to describe S, the weight of the special sundae in kilograms, at Ping's Ice Cream Palace is S > 2, indicating the sundae weighs more than 2 kilograms.
Explanation:The question involves creating an inequality to describe the weight of a special sundae, S, at Ping's Ice Cream Palace. Since the sundae contains over 2 kilograms of ice cream, this means the weight of the sundae is greater than 2 kilograms. However, since there can be any number of toppings, there is technically no upper limit to the weight. Therefore, the inequality to describe S, the weight of the special sundae in kilograms, would be:
S > 2
This inequality indicates that the weight of the sundae is strictly more than 2 kilograms, considering the ice cream and any added toppings.
Liam has $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
Answer: The required expression will be
[tex]\frac{6000-p}{24}[/tex]
Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by
[tex]250-\frac{p}{24}\\\\=\frac{6000-p}{24}[/tex]
Hence, the required expression will be
[tex]\frac{6000-p}{24}[/tex]
To calculate how much money Liam has left, subtract the cost of the present from his initial amount of money. The expression that represents this is $250 - ($p/24).
Explanation:To find out how much money Liam has left after buying the present, we need to subtract the cost of the present from the initial amount of money Liam had. The cost of the present can be calculated by dividing the total cost by the number of classmates, which is 24. So, the cost of the present is $p/24. Therefore, the expression that represents how much money Liam has left is:
$250 - ($p/24)
Learn more about Calculating money remaining here:https://brainly.com/question/24101443
#SPJ3
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)
Answer:
[tex]4^x-5x-14[/tex]
Step-by-step explanation:
[tex]f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14[/tex]
Answer:
The value of [tex](f-g)(x)=4^x-5x-14[/tex]
Step-by-step explanation:
Given : If [tex]f(x) = 4^x-8[/tex] and [tex]g(x)=5x+6[/tex]
To find : The value of [tex](f - g)(x)[/tex]?
Solution :
[tex]f(x) = 4^x-8[/tex]
[tex]g(x)=5x+6[/tex]
We can write, [tex](f-g)(x)=f(x)-g(x)[/tex]
Substitute the value of f(x) and g(x)
[tex](f-g)(x)=4^x-8-(5x+6)[/tex]
[tex](f-g)(x)=4^x-8-5x-6[/tex]
[tex](f-g)(x)=4^x-5x-14[/tex]
Therefore, The value of [tex](f-g)(x)=4^x-5x-14[/tex]
Jonathan went to the movies with$48 he earned at his after school job. The ticket cost $8.75. He spent $7.45 for refreshments. How much money did he have left
(2n-9)-5(-2.4n+4) please help!
(2n - 9) - 5(-2.4n + 4) use distributive property
= 2n - 9 + (-5)(-2.4n) + (-5)(4) = 2n - 9 + 12n - 20 combine like terms
= (2n + 12n) + (-9 - 20) = 14n - 29
Hello!
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
[tex](2n-9)-5(-2.4n+4)[/tex]
First, remove parenthesis.
[tex]2n-9-5(-2.4n+4)\\[/tex]
Secondly, expand.
[tex]-5(-2.4n+4):12n-20[/tex]
Third, apply the distributive law.
[tex]a=-5, b=-2.4n, c=4[/tex]
[tex]=-5(-2.4n)+(-5)*4[/tex]
Then, apply minus-plus rules.
[tex]5*2.4n-5*4[/tex]
Simplify.
[tex]5*2.4n-5*4:12n-20[/tex]
Multiply by the numbers.
[tex]5*2.4=12[/tex]
[tex]12n-5*4[/tex]
Again, multiply by the numbers.
[tex]5*4=20[/tex]
[tex]12n-20[/tex]
[tex]=2n-9+12n-20[/tex]
Simplify.
[tex]2n-9+12n-20:14n-29[/tex]
Group like terms.
↓↓↓↓↓↓↓↓↓↓↓
[tex]=2n+12n-9-20[/tex]
Add similar elements.
[tex]2n+12n=14n[/tex]
[tex]=14n-9-20[/tex]
Subtract by the numbers.
[tex]-9-20=-29[/tex]
[tex]=14n-29[/tex]
Answer⇒⇒⇒[tex]=14n-29[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
help please, I'm having so much trouble! It's quite easy!
Find an equation of the line through (4,5) and parallel to y=3x+5.
GIVEN: y = 3x + 5
--> slope of given line = 3
--> This means that your equation must have the same slope, or "m"
FORMULA OF A LINE: y = mx + b
--> Use point-slope form to find "b"
POINT SLOPE FORM: y - y₁ = m ( x - x₁ )
--> Plug in your given point AND the slope of the given line
y - 5 = 3 ( x - 4 )
y - 5 = 3x - 12
y = 3x - 7