Final answer:
The GCF of 55 and 88 is 11. Applying the distributive property, 55 + 88 is equal to 143.
Explanation:
The student is asking about the greatest common factor (GCF) and the distributive property of the expression 55 + 88.
To find the GCF, we need to break down the numbers 55 and 88 into their prime factors. The prime factorization of 55 is 5 × 11, and the prime factorization of 88 is 2² × 11. The GCF is the highest common factor between the two prime factorizations, which is 11.
The distributive property states that a × (b + c) = a × b + a × c. Applying this property to the expression 55 + 88, we get 11 × 5 + 11 × 8 = 55 + 88 = 143.
Final answer:
The GCF of 55 and 88 is 11. When we apply the distributive property to 55 and 88, the expression simplifies to 143.
Explanation:
To find the Greatest Common Factor (GCF) of 55 and 88, we can first list the factors of each number:
Factors of 55: 1, 5, 11, 55
Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88
The GCF is the largest factor that both numbers have in common, which in this case is 11.
Now, let's apply the distributive property to the numbers 55 and 88:
55 + 88 = (5 * 11) + (8 * 11)
Using the distributive property, we can simplify this to:
55 + 88 = (5 + 8) * 11
Therefore, the expression 55 + 88 is equal to 13 * 11, which is 143.
If Susan subtracts 11 from one-fourth of her number she gets 11
Final answer:
Susan's number is found by solving the equation x/4 - 11 = 11, which after isolating the variable and multiplying both sides by 4 yields the answer x = 88.
Explanation:
If Susan subtracts 11 from one-fourth of her number, she gets 11. To solve this problem, we set up an equation where x represents Susan's number. The one-fourth of her number would be x/4, and subtracting 11 from one-fourth of her number yields: x/4 - 11 = 11.
To find x, we first isolate the variable on one side by adding 11 to both sides of the equation, so we have x/4 = 22. Next, we multiply both sides by 4 to solve for x: x = 22 * 4. Therefore, Susan's number is 88.
If a transformation moves points only up or down, how do the coordinates of the point change? What can you conclude about the coordinate nation for the transformation
17. A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a percent? Show your work.
The acceptance rate of the students is 51.1%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a local university accepted 2,300 students out of 4,500 applicants for admission.
The acceptance rate will be calculated as,
Acceptance rate = ( 2300 x 100 ) /4500
Acceptance rate = 51.1 %
Therefore, the acceptance rate of the students is 51.1%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
3(x+1)^(4/3)=48
how do i solve this?
number of different 5 digit combinations if successive digits msut be different
The permutations formula is applied to determine the number of different 5-digit combinations where successive digits must be different, resulting in a total of 30,240 combinations.
Permutations are used when the order of elements matters. In this case, the number of different 5-digit combinations where successive digits must be different can be calculated using the permutations formula.
Identify that we need to use permutations due to the order of elements being important.Calculate the number of possibilities for each digit decreasing by 1 with each selection. For a 5-digit number, it would be 10 choices for the first digit, 9 for the second, 8 for the third, 7 for the fourth, and 6 for the fifth.Calculate the total number of combinations by multiplying the number of choices for each digit together: 10 x 9 x 8 x 7 x 6 = 30,240.Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what speed does Aidan drive home?
17 mph
27 mph
32 mph
56 mph
Answer:
The correct option is 2.
Step-by-step explanation:
The formula form speed is
[tex]speed=\frac{distance}{time}[/tex]
[tex]time=\frac{distance}{speed}[/tex]
It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is
[tex]t_1=\frac{16}{40}[/tex]
Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is
[tex]t_2=\frac{16}{s}[/tex]
It is given that his total trip takes 1 hour.
[tex]\frac{16}{40}+\frac{16}{s}=1[/tex]
[tex]\frac{16s+640}{40s}=1[/tex]
[tex]16s+640=40s[/tex]
[tex]640=40s-16s[/tex]
[tex]640=14s[/tex]
Divide both sides by 14.
[tex]\frac{640}{24}=s[/tex]
[tex]s=26.666667[/tex]
[tex]s\approx 27[/tex]
Aidan return with speed about 27 mph Therefore the correct option is 2.
Answer:
B
Step-by-step explanation:
did it on edg
Name a decimal in between 0.4 and 0.5?
mario has less than $50. he has six bills in all. four of them are are tens. how many ones does he have????
How many ounces are in 4 pints
Lines AB and EB share a common point at B therefore we say that these lines
X Y
-2 5
-1 3
0 1
1 -1
2 -3
Find the explicit formula and the type of function
Lorelle pays someone $35 to clear her driveway when it snows. She wants to buy an electric snow blower for $689 so that she can clear her own driveway. If the area Lorelle lives in has an average of 5.2 snowfalls each season, how many seasons will it take her to break even on what she spends for the snow blower?
It would take 20 sessions to break even on what she spends for the snow blower.
The cost of the snow blower is $689, hence:
Cost = $689
Let x represent the number of sessions, Since $35 is paid to clear the driveway, hence:
Revenue = 35x
At breakeven:
Cost = Revenue
35x = 689
x = 20 (to nearest whole number)
Hence it would take 20 sessions to break even on what she spends for the snow blower.
Find out more at: https://brainly.com/question/15172639
3.582x 10(-6) in standard form
T is the midpoint of su. If st=16 the su=?
Use the graph of f to estimate the local maximum and local minimum. (5 points)
Answer:
Local maximum: (0,1)
Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]
Step-by-step explanation:
To estimate the local maximum and local minimum using graph.
Local maximum: It is largest value of function for all other values of function near by.
Local minimum: It is smallest value of function for all other values of function near by.
A function has two extrema maxima or minima.
Please see the attachment for graph.
In graph highest point only 1, Only one local maximum at x=0
Local maximum: (0,1)
In graph two lowest point at [tex]x=-\pi\text{ and }x=\dfrac{3\pi}{2}[/tex]
Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]
Hence, Local maximum: (0,1) ; Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]
Diagram 6(b)(i) shows a regular pentagon PQRST and a right-angled triangle RUV. Find the value of x.
4/9 times 3 in a fraction is??
Drag a reason to each box to complete the flowchart proof.
From linear pair postulate, if two angles are in linear pair, then they are supplementary.
Also, the definition of supplementary angles states that the sum of the angles is 180 degrees.
Hence, the correct option is Definition of supplementary angles.
Is 5/8 more than 2/3
For his parents’ anniversary, Danny spends $5.87 on a photo.He also buys a balloon for $2.49 and a box of strawberries for $4.50. How much money does he spend all together
The total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].
Further explanation:
Given:
Danny spends $5.87 on a photo, $2.49 for balloon and $4.50 on strawberries.
Calculation:
Consider the total money spent as [tex]S[/tex], money spends on photo as [tex]x[/tex], money spends on balloons as [tex]y[/tex] and money spend on strawberries as [tex]z[/tex].
Total money spent [tex]S[/tex] is written as the sum of the money spent on photo [tex]x[/tex], balloons [tex]y[/tex] and strawberries [tex]z[/tex] as follows:
[tex]S=x+y+z[/tex] …… (1)
Substitute, 5.87 for [tex]x[/tex], 2.49 for [tex]y[/tex] and 4.50 for [tex]z[/tex] in equation (1) to obtain the total money spent by Danny as follows:
[tex]\begin{aligned}S&=5.87+2.49+4.50\\&=8.36+4.50\\&=12.86\\\end{aligned}[/tex]
Thus, the total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].
Learn more:
1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
https://brainly.com/question/1632445
2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12
https://brainly.com/question/1473992
3. what are the domain and range of the function f(x) = 3x + 5?
https://brainly.com/question/3412497
Answer Details :
Grade: Middle School
Subject: Mathematics
Chapter: linear equation
Keywords:
Money, Danny, anniversary, photo, balloon, strawberries, dollar, spent, x+y+z, function, substitution, direct substitution, elimination, graph, middle term factorization, scientific notation.
Multiply: 3x4(4x4 − x5 + 2) 7x8 − 3x9 + 6x4
5 1/2 ft equals how many inches
Last year at this time we had 250 employees. Due to attrition , we lost 12% of our workforce. How many employees are working now
Answer: There are 220 employees working now.
Step-by-step explanation:
Hi, to answer this question, first, we have to multiply the number of employees by the percentage in decimal form.
12% = 12/100= 0.12 (decimal form)So, mathematically speaking:
250 x 0.12 = 30 employees lessFinally, we subtract the number obtained to the initial number of employees.
250 -30 = 220 employees.There are 220 employees working now.
Feel free to ask for more if needed or if you did not understand something.
Solve and find the measurement for angle B
2. AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the measure of angle ACD?
A. 100
B. 90
C. 80
D. 70
E. cannot be determined from the information
6/10 in simplest form
5 rubber stamps cost $9.70 Which equation would help determine the cost of 11 rubber stamps?
What's the answer? The question is change 425,000 mL to L
Susan and John are buying cold drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Susan says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to determine the total cost of the soda. John says that if you divide the cost of a 12 pack of soda by the number of sodas, you will determine the total cost of the sodas. Who is right, and why?
can 50 go into 100 and 250
yes:
100/50 = 2
250/5 = 5