Answer:
Write a formula for the arithmetic sequence whose first term is 9 and whose common difference is also 9.
Step-by-step explanation:
Alvin had 30 beads more than Bobby Cathy had thrice as many beads as
Alvin. They had a total of 345 beads. How many beads did Bobby have?
Answer:
Bobby has 45 beads
Step-by-step explanation:
Let x be the number of beads Bobby has.
Then, (x + 30) is the number of beads Alvin has.
Then, 3 (x + 30) is the number of beads Cathy has.
3 (x + 30) + (x + 30) + x = 345
3x + 90 + x + 30 + x = 345
5x + 120 = 345
5x = 225
x = 45
Therefore, Bobby has 45 beads.
Calculate the circumference of a circle with a radius of 8 inches.
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
1) You have an ash tree and a magnolia tree in your yard. You chart the vertical growth of each tree.
a) Over two years, the ash tree grows 51 inches. What is the unit rate? Use a ratio table to find the vertical growth over five years. This is a required question
b) Over five years, the magnolia tree grows 80 inches. Construct a double number line that represents the situation. How much does the tree grow each year? * This is a required question
c) Which tree has the faster growth rate? This is a required question
d) What is the growth rate of each tree in millimeters per day? *
Answer:8
Step-by-step explanation answe is 8beuase the tree
a)The unit rate of ash tree is equal to 25.5 inches per year .(Table attached) b) The magnolia tree grows by 16 inches every year.(Table attached)
c) Ash tree has the faster growth rate.
d) growth rate of ash tree = 1.77 mm
growth rate of magnolia tree =1.113 mm
What is a double number line ?Double number line diagrams are best used when the quantities have different units.
Given here, the ash tree grows 51 inches over two years therefore unit rate of growth is 51/2 = 25.5 inches/year. Similarly, the magnolia tree grows 80 inches over five years thus the tree grows by 16 inches every year. Finally converting the growth rate of each tree in mm per day we get
growth rate of ash tree = 25.5 × 25.4 / 365
= 1.77 mm
growth rate of magnolia tree = 16 × 25.4 / 365
=1.113 mm
Hence, clearly ash tree grows faster than the magnolia tree and refer to the attachments for the table and double number line.
Learn more about double number line here:
https://brainly.com/question/13553589
#SPJ2
What is the value of b?
Answer:
ans 128 is correct answer
toss two dice. the probability of rolling an even number on both sides is 1/2x1/2= 1/4. predict in 120 tosses how many times an even number will appear on both dice?
Answer:
Chances of both even number = 30 times
Step-by-step explanation:
Given:
Chances of both even number = 1/4
Total number of tosses = 120
Find:
How many times both dice show even number
Computation:
Chances of both even number = [Chances of both even number][Total number of tosses]
Chances of both even number = 1/4 [120]
Chances of both even number = 30 times
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
Find 140 percent of 15.
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.
Your percentage is currently 140.00. The decimal would be 1.40.
Next, take the given number (15 in this case) and multiply it by the decimal number:
15 * 1.40 = 21.
Hope this helped!
Please help me... :(
Answer:
6
Step-by-step explanation:
Think of it as a ratio. The recipe calls for 2:3. If Jason used 4, then you need to match the other side.
4/2=2
So you need to multiply 3 by 2 to find the match.
3x2=6
The ratio is 4:6, so Jason uses 6 teaspoons of baking powder.
-hope it helps
plzz hellp this is so hard
Answer:
the correct answer is 290 / 605
Write equations for the vertical and horizontal lines passing through the point (-3,0).
Answer:
x = -3
y = 0
Step-by-step explanation:
On a lake, Carol rowed a boat for mile. Then Luke rowed
8
3
the boat for mile. How far did Carol and Luke row in all?
8
Simplify the answer if possible.
A А
5
mile
8
B
3
mile
64
1
mile
4
D
1
mile
2.
Answer:
4/10
Step-by-step explanation:
add the miles up so you can find it out
PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
simplify :
10b + a+ 6b + 10
Step-by-step explanation:
i think 16b+a+10 is the answer
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Please help I am so lost thank you so much
The speed of the plane is equal to 120 mph.
What is speed?In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).
Mathematically, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
Time = distance/speed
Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;
240/s = 80/s - 80
80s = 240s - 19200
19200 = 160s
s = 19200/160
s = 120 mph.
Read more on speed here: https://brainly.com/question/29445231
#SPJ1
The diameter of a circle is multiplied by 10 how does the circumference change?
Step-by-step explanation:
The circumference of a circle is given by :
C=2πr, r is the radius of the circle
Also, 2r = D, diameter of the circle
⇒ C = πD
If the diameter of a circle is multiplied by 10, it means,
C = π(10)
⇒ C = 10π
Hence, if the diameter of a circle is multiplied by 10, then its circumference becomes 10π.
A pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. Can the cooks at the pizzeria make a dozen pizzas without refilling the canister? Complete the explanation.
The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.
What is the unitary method?
The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.
We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.
So, number of cups that will make 5 gallon is 16 * 5 = 80 cups
Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.
Hence, the cooks cannot make a dozen pizzas without refilling the canister.
Learn more about unitary method from the given link
https://brainly.com/question/28731562
#SPJ1
I need help with this
Answer:
12x²y² +2xy -2
Step-by-step explanation:
The distributive property is used to multiply polynomials.
(3xy -1)(4xy +2) . . . . . . . . . . . . . given
= (3xy)(4xy +2) -1(4xy +2) . . . . multiply the 2nd by the terms of the 1st
= (12x²y² +6xy) +(-4xy -2) . . . . here are those products
= 12x²y² +2xy -2 . . . . . . . . . collect terms (6xy-4xy = 2xy)
Given the function, Calculate the following values:
Answer:
\(f(-2)=33\\f(-1)=12\\f(0)=1\\f(1)=0\\f(2)=9\)
Step-by-step explanation:
\(f(x)=5x^{2} -6x+1\\f(-2)=5(-2)^{2} -6(-2)+1\\f(-2)=5(4)+12+1\\f(-2)=20+13\\f(-2)=33\)
\(f(x)=5x^{2}-6x+1\\f(-1)=5(-1)^{2} -6(-1)+1\\f(-1)=5(1)+6+1\\f(-1)=5+7\\f(-1)=12\)
\(f(x)=5x^{2}-6x+1\\f(0)=5(0)^{2}-6(0)+1\\f(0)=5(0)-0+1\\f(0)=0+1\\f(0)=1\)
\(f(x)=5x^{2}-6x+1\\f(1)=5(1)^{2}-6(1)+1\\f(1)=5(1)-6+1\\f(1)=5-5\\f(1)=0\)
\(f(x)=5x^{2}-6x+1\\f(2)=5(2)^{2}-6(2)+1\\f(2)=5(4)-12+1\\f(2)=20-11\\f(2)=9\)
Sanjay has 2 1/3 cups of pretzels, Raul has 1 5/6 cups of chocolate pieces, and Sonny has 3 7/9 cups of granola. If they
combine all of their ingredients, how much trail mix can they
make?
The equation of the least-squares regression line for predicting icicle length, in centimeters, from time, in minutes, is
icicle length=-1.93 +0.173xtime
There are 2.54 centimeters in an inch. If length were measured in inches, what would the slope of the new regression line be?
Enter your answer to three decimal places.
The slope of the new regression line with length measured in inches would be 0.068 inches/minute.
Calculating slope of the new regression lineThe slope of the regression line for predicting icicle length, in centimeters, from time, in minutes, is 0.173 cm/minute.
To convert this to inches, we need to multiply the slope by the conversion factor from centimeters to inches, which is 2.54 cm/inch:
0.173 cm/minute x (1 inch/2.54 cm) = 0.068 inches/minute
So, the slope of the new regression line with length measured in inches would be 0.068 inches/minute.
Learn more on Regression line: https://brainly.com/question/7656407
#SPJ1
If the cost of two tires is $130.56 ,how much will cost to buy ten tires?
Answer:
652.8
Step-by-step explanation:
2 = 1/5 of 10
so multiply 130.56 and 5 to get 652.8
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
The answer is Line Segment SR.
how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Can someone please answer and provide an explanation for these problems?
The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4
What are the segments tangent to the circleA theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.
(25). 2x - 1 = x + 1 {equal tangent segments}
2x - x = 1 + 1 {collect like terms}
x = 2
(26). 2x - 4 = x {equal tangent segments}
2x - x = 4 {collect like terms}
x = 4
Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4
Read more about tangent to circle here:https://brainly.com/question/9132922
#SPJ1
The scatter plot and table show the number of grapes and blueberries in 10 fruit baskets. Use the two points closest to the line. Which equation is the equation of the regression line?
A. y = 1/3x - 1/3
B. y = 4/5x + 18
C. y = 4/5x - 36/5
D. y = 5/4x - 45/2
Answer:
The correct answer would be B; y = 4/5x - 36/5
Step-by-step explanation:
The equation of the regression line is y = 4/5x - 36/5
The equation of the regression lineFrom the graph, we have the following points
(x,y) = (29,16) and (34,20)
Calculate the equation of the line, using:
\(y = \frac{y_2 -y_1}{x_2 -x_1} * (x - x_1) + y_1\)
So, we have:
\(y = \frac{20 -16}{34 -29} * (x - 16) + 29\)
Evaluate the differences
\(y = \frac{4}{5} * (x - 16) + 29\)
Expand
\(y = \frac{4}{5}x - \frac{4}{5}* 16 + 29\)
Evaluate
\(y = \frac{4}{5}x - \frac{35}{5}\)
This is approximately y = 4/5x - 36/5
Hence, the equation of the regression line is y = 4/5x - 36/5
Read more about regression equations at:
https://brainly.com/question/17844286
#SPJ2
If the measure of the angle in the southwest corner of the intersection of Broadway and 21st Street is approximately 105ºwhat is the measure of the angle in the southwest corner of the intersection of Broadway and 22nd Street?
A: 85 degrees
B: 95 degrees
C: 120 degrees
D: 105 degrees
Answer:
95°
Step-by-step explanation:
The angle on the 20TH street and 22ND street must add up to 180° so the answer is 95°
Answer:
This isnt right. Good try though
Step-by-step explanation:
Anyone know the answer?
WILL GIVE 5 STARS
Evaluate the expression when x= 3 3(x-1) +4
Answer:
x=5/8
Step-by-step explanation:
Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departments—Molding and Fabrication. It started, completed, and sold only two jobs during March—Job P and Job Q. The following additional information is available for the company as a whole and for Jobs P and Q (all data and questions relate to the month of March):
Molding Fabrication Total
Estimated total machine-hours used 4,200 2,520 6,720
Estimated total fixed manufacturing overhead $ 16,800 $ 25,200 $ 42,000
Estimated variable manufacturing overhead per machine-hour $ 1.40 $ 2.20
Job P Job Q
Direct materials $ 21,840 $ 13,440
Direct labor cost $ 35,280 $ 12,600
Actual machine-hours used:
Molding 2,890 1,340
Fabrication 1,010 1,480
Total 3,900 2,820
Sweeten Company had no underapplied or overapplied manufacturing overhead costs during the month.
4. What was the total manufacturing cost assigned to Job P? (Do not round intermediate calculations.)
The total manufacturing cost assigned to Job P is $84,240.
How to compute the total manufacturing cost:The total manufacturing cost consists of direct material, direct labor, variable overhead, and fixed overhead costs.
The variable manufacturing costs include direct materials, direct labor, and variable overhead while the fixed overhead costs are period costs related to the production process.
Molding Fabrication Total
Machine hours used 4,200 2,520 6,720
Fixed manufacturing overhead $16,800 $25,200 $ 42,000
Fixed manufacturing overhead per hr $4 $10
Variable manufacturing overhead
per machine-hour $ 1.40 $ 2.20
Job P Job Q
Direct materials $ 21,840 $ 13,440
Direct labor cost $ 35,280 $ 12,600
Actual machine hours used:
Molding 2,890 1,340
Fabrication 1,010 1,480
Total 3,900 2,820
Actual Manufacturing Costs (Job P):
Job P
Direct materials $21,840
Direct labor costs $35,280
Overheads:
Variable $5,460 (3,900 x $1.40)
Fixed:
Molding = $11,560 ($4 x 2,890)
Fabrication = $10,100 ($10 x 1,010) $21,660
Total manufacturing costs $84,240
Learn more about manufacturing costs at https://brainly.com/question/24171150
#SPJ1
What is the sum of the polynomials?(8x2-9y2-4x)+(x2-3y2–7x)7x2 - 6y2 + 3x9x2 - 6y2+3x9x2 - 12y2 + 3x9x2 - 12/2 - 11x
Let's simplify the following expression:
\(\text{ (8x}^2-9y^2-4x)+(x^2-3y^2-7x)\)We get,
\(\text{ (8x}^2-9y^2-4x)+(x^2-3y^2-7x)\)\(\text{ 8x}^2-9y^2-4x+x^2-3y^2-7x\)Let's put like terms beside each other and proceed with the operation:
\(\text{ 8x}^2-9y^2-4x+x^2-3y^2-7x\)\(\text{ 8x}^2+x^2-9y^2-3y^2-7x-4x\)\(\text{ (8x}^2+x^2)+(-9y^2-3y^2)+(-7x-4x)\)\(\text{ (9x}^2^{})+(-12y^2)+(-11x)\)\(\text{ 9x}^2-12y^2-11x\)Therefore, the sum of the given polynomials (8x^2-9y^2-4x)+(x^2-3y^2–7x) is 9x^2 - 12y^2 - 11x.
The answer is letter D.