A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many cubes as she can. How many unit cubes are left over??
Determine the unknown side length of the golden rectangle with the given side length. s = ____ l = 9 a. 5.56 c. 4.94 b. 4.85
Julian wants to spend NO MORE than $1,250 on his trip. The airfare is $358. Write & solve an inequality to find the maximum amount he can spend on the rest of his trip.
Amount of money Julian can spend on trip= $1250
Amount spent on airfare = $358
Money left for trip = Total money - money spent on airfare= 1250 - 358= $892
So writing an inquality ,
[tex] x\leq 1250-358 [/tex]
where x is amount he can spend on trip.
Solving the inequality,
[tex] x\leq 892 [/tex]
So he can spend less than or equal to $892 on the trip.
The sum of two numbers is 24 and their difference is 2. What are the numbers?
ABCD is a parallelogram.Find the measure of ABC
Answer:
(C)50°.
Step-by-step explanation:
It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.
Now, [tex]m{\angle}ADC={\angle}ADB+{\angle}BDC[/tex]
[tex]m{\angle}ADC=38^{\circ}+12^{\circ}[/tex]
[tex]m{\angle}ADC=50^{\circ}[/tex]
Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.
Hence, option C is correct.
How do I begin to solve this
At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round?
I got for an answer 168. But I feel like that is wrong??? Can someone help me with this???
Final answer:
To find out how many teams will play in the first round, divide the total number of people by the number of people in each team. In this case, there will be 168 teams playing in the first round.
Explanation:
To find out how many teams will play in the first round, we need to divide the total number of people by the number of people in each team. In this case, we have 1,008 people divided into teams of 6.
To calculate the number of teams, we divide 1,008 by 6: 1,008 ÷ 6 = 168.
Therefore, there will be 168 teams playing in the first round.
I don’t think this is correct but I got an area of 21.Can anyone help me or correct me on my error??
You bought the new fish tank shown. Before you can buy fish, you have to get the tank ready. The dimensions of the tank are 24 inches by 12 inches by 16 inches. What is the largest volume of water it can hold?
students at a cooking school made a super sized rectangular pizza for a class party Lupita cut the pizza into 3 equal pieces then she cut each piece into three equal parts two more times the pita needs 27 pieces of pizza does she have enough pieces yet explain how you know
Final answer:
After dividing the pizza into 3 equal parts twice, Lupita has the exact number of pieces needed for the party, which is 27.
Explanation:
The student's question is about dividing a rectangular pizza into equal parts. Lupita cut the pizza into 3 equal pieces, then each piece into 3 equal parts two more times. To determine if Lupita has enough pieces for 27 people, we can use multiplication to find how many total pieces she has created. The math goes as follows:
First division: 1 pizza is cut into 3 pieces.
Second division: Each of the 3 pieces is cut into 3 pieces, resulting in 3 x 3 = 9 pieces.
Third division: Each of the 9 pieces is cut into 3 pieces, resulting in 9 x 3 = 27 pieces.
After the final division, there are 27 pieces of pizza. Therefore, Lupita has enough pieces for the party as the required number of pieces is also 27.
How do you do this? Could someone explain?
Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, i'll triple your money. There's one small thing though. Each time I pay, you must give me $54 back for the priviledge of jumping." Josh agreed, jumped the fence, received his payment from sam slick, and paid sam $54. Repeating the routine 1 more time, josh was distressed to find that after sam had made his payment to josh, josh had only $54 with which to pay sam and so had nothing left. Sam, of course, went merrily on his way, leaving josh wishing that he had known a little more about mathematics.
We can see here that according to the agreement, each time Josh jumped the fence, his money would be tripled. Thus, Josh had to pay Sam $54 back for the privilege of jumping.
Josh jumped the fence for the first time. Sam Slick paid Josh the agreed-upon amount, which was triple the initial money Josh had. Then Josh paid Sam $54 back as per the agreement.
We see that Josh jumped the fence for the second time. Sam Slick paid Josh the agreed-upon amount, which was triple the money Josh had after paying Sam $54. After Josh received the payment, he had only $54 left, which was exactly the amount he needed to pay Sam.
A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?
Final answer:
The given ratios indicate there should be 17.5 cherries in the fruit salad, but the number must be a whole number. There appears to be an error in the problem statement, as the conditions cannot be met with the total number of fruits given.
Explanation:
Solving the Fruit Salad Problem
Let's define the number of cherries in the fruit salad as x. According to the problem, there are four times as many cherries as raspberries, so the raspberries would be 4x. Since there are twice as many raspberries as blueberries, the blueberries would be 2(4x) = 8x. Lastly, there are three times as many grapes as cherries, meaning there are 3x grapes. To find out how many cherries are in the fruit salad, we can set up the following equation representing the total pieces of fruit:
x + 4x + 8x + 3x = 280
Adding all terms on the left side of the equation gives:
16x = 280
Dividing both sides by 16 to find the value of x gives:
x = 280 / 16
x = 17.5
Since we cannot have half a cherry in the fruit salad, the correct number of cherries must be a whole number. Therefore, it seems there's a mistake in the original statement regarding the relationship between the number of cherries and other fruits. Without the correct ratios or total pieces of fruit, a precise answer cannot be determined.
which is not a point of concurrency in a triangle?
Altitude not a point of concurrency in a triangle.
what is point of concurrency?The circumcenter of a triangle is the point at which its three perpendicular bisectors coincide. It is the center of the circle that is equidistant from all three of the triangle's vertices and is circumscribed around the triangle.
As, we know
Any location where three or more lines converge is known as a point of concurrency. The centroids, orthocenters, circumcenters, and incenters are the four points of concurrency that are shared. The intersection of a triangle's three medians is known as the centroid.
So, according to that Altitude not a point of concurrency in a triangle.
Learn more about point in concurrency here:
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Movies are on sale for 1414 the original price. If the original price is $20, which expression gives the sale price?
Answer:
I'm answering super late but I want to help others who don't know the answer
Step-by-step explanation:
The answer is in the picture.
Your welcome :D
Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i
Jill earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. she worked 52 hours this week and earned $638. What is her hourly rate?
solve the equation, justify each step with an algebraic property 62= 5 + x
The solution to the equation 62 = 5 + x is x = 57. This is found by subtracting 5 from both sides of the equation and checking the solution by substitution.
Explanation:To solve the equation 62 = 5 + x, we will follow algebraic properties to isolate the variable x.
Start with the equation 62 = 5 + x.Apply the Subtraction Property of Equality by subtracting 5 from both sides of the equation to eliminate terms: 62 - 5 = 5 - 5 + x, which simplifies to 57 = x.Thus, x = 57.To check the answer, substitute x = 57 back into the original equation: 5 + 57 = 62, which is true.Therefore, the solution to the equation is x = 57, and after checking, it is reasonable.
Help on 37? Thank you!
Help with this please!
Oliver works at a book store.He packed 20 identical paperbacks and 9 identical textbooks in a box .The total mass of the book was 44.4 pounds . After he put 1 more textbook and 5 more paperbacks in the box,the total mass of the books was 51 pounds.
In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC . Find the perimeter of ΔCOD if point O is the intersection of the diagonals and AC = 20 in, BD = 20 in, AB = 13 in.
Answer:
33
Step-by-step explanation:
As the opposite sides of a quadrilateral are parallel and equal in length so
(AB) = (CD) =13
And the diagonals of a quadrilateral bisect each other at their intersection point (O in this case), so length of side OC will be the half of diagonal AC.
(OC) = (AC) /2
(OC)=20/2
(OC) =10
Similarly,
(OD) =10
Now,
Perimeter of Triangle OCD = (OC) + (CD) + (OD)
=10+13+ 10
=33
Which describes the inverse operations used after the distributive property
Answer:
subtraction then division on edge
Step-by-step explanation:
Miranda made a drink that contains 2 pints of apple juice and 3 pints of grapes juice and 2 pints of cranberry juice
How many pints of juice did Miranda make
The smaller of two numbers is 2 less than 3/4 the larger. The sum of the two numbers is 47. Find the value of the numbers.
Final answer:
The two numbers in question are found by setting up a system of linear equations. The larger number is 39.2, and the smaller number is 27.4, found through substitution and simplification of equations representing their relationship and their sum.
Explanation:
The question involves solving a system of linear equations. Given the smaller number is 2 less than 3/4 the larger number, and the sum of the two numbers is 47, we can set up the following equations where x represents the larger number and y represents the smaller number:
y = ¾ x - 2
x + y = 47
We can substitute equation (1) into equation (2) which gives us x + (¾ x - 2) = 47. Solving for x gives us the larger number, and then y can be determined using either equation (1) or (2).
Following these steps:
x + (¾ x - 2) = 47
1¾ x - 2 = 47
1¾ x = 49
x = 49 / (5/4)
x = 49 * (4/5)
x = 39.2 (larger number)
y = ¾ * 39.2 - 2
y = 29.4 - 2
y = 27.4 (smaller number)
Thus, the two numbers are 39.2 and 27.4.
Simplify 24/2^2+6 plz
Explain how you know that 21/30 is greater than 2/3?
Gemma's soup recipe is shown in the table above. What Is the ratio of chicken stock to mixed vegetable? Express the ratio as a fraction in simplest form and as a decimal.
Yvette earned $66.00 for 8 hours of work. Lizbeth earned $68.80 working the same amount of time. How much more per hour did Lizebeth earn than Yvette
a number tripled and tripled again is 729.what is the number