Factor 34 out of 34z+6
Answer:
[tex]34z+6=34(z+\frac{3}{17})[/tex]
Step-by-step explanation:
To find : Factor 34 out of [tex]34z+6[/tex] ?
Solution :
Factor out means taking common term from the given expression.
Expression is given as [tex]34z+6[/tex]
Taking 34 common from 34z is left with z.
Taking 34 common from 6 is left with [tex]\frac{6}{34}[/tex].
So, [tex]34z+6=34(z+\frac{6}{34})[/tex]
[tex]34z+6=34(z+\frac{3}{17})[/tex]
Therefore, The required expression is [tex]34z+6=34(z+\frac{3}{17})[/tex]
Tetsuo's savings account has a balance of $1192. After 22 years, what will the amount of interest be at 1.5% compounded annually?
a.
$2622.40
c.
$467.98
b.
$450.98
d.
$461.98
Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight.
If a = 2 inches, what is the volume of the paperweight?
A.24 in3
B.56 in3
C.16 in3
D.32 in3
Solution:
Given that, Milton got a paperweight like the one shown in the figure.
The Paper Weight is in the shape of a cuboid and a cube.
Length and breadth of cuboid is a and height of the cuboid is 2a, whereas side of cube is a.
The volume of sand required to fill in the Paper Weight , is equal to the volume of the Paper weight,
Volume of Paper Weight = Volume of cube + Volume of cuboid
We know that, Volume of cube =[tex] (side)^{3} [/tex]
and , Volume of Cuboid = [tex] length \times breadth \times height [/tex]
Volume of Paper Weight = [tex] a^{3}+ (a\times a \times2a)= a^{3} +2a^{3} = 3a^{3} [/tex]
Given that , a = 2 inches , then Volume of Paper Weight = [tex] 3 \times (2)^{3}= 3\times 8 = 24 [/tex]
[tex] 24 \: in^{3} [/tex] is the volume of the paperweight.
Option A is the correct solution.
A cell phone plan includes 450 anytime minutes for $35 per month, plus $18.85 for a cell phone and $25 for a one-time activation fee. let x represent the number of months of service. write an equation in the form y equals mx plus
b. find the ordered pair associated with the equation for xequals9. if you sign a 1-yr contract, how much will this cell phone package cost?
The cost of the cell phone plan over x months is represented by the equation y = 35x + 43.85. For 9 months, the total cost is $359.85, and for a 1-year contract, the total annual cost is $463.85.
The total monthly cost of the cell phone plan for x months of service can be represented by the linear equation y = 35x + 18.85 + 25. Here, y represents the total cost, x represents the number of months, 35 is the cost per month, 18.85 is the cost of the cell phone, and 25 is the one-time activation fee. The equation simplifies to y = 35x + 43.85, since the cost of the phone and the activation fee is a one-time charge, independent of the number of months.
For x = 9 months of service, the ordered pair is (9, y), where y = 35(9) + 43.85. Therefore, the ordered pair associated with x = 9 is (9, 359.85).
If you sign a 1-year contract, which is 12 months, you will pay y = 35(12) + 43.85, which results in a total cost of $463.85 for the year.
Jaclyn sells candles that are in the shape of cones. She makes a green candle that has a radius of 2.5 inches and a height of 9 inches. She sells each candle at a price of $0.25 per cubic inch of wax. Which statements about the green candle are true? Check all that apply. Use 3.14 for pie.
The volume of the green candle is about 23.55 in.(cubed)
The volume of the green candle is about 58.88 in. (cubed)
The diameter of the green candle is 5 in.
The diameter of the green candle is 1.25 in.
The base area of the green candle is about 19.63 in. (squared)
The base area of the green candle is about 7.85 in. (squared)
The price of one green candle is about $5.89.
The price of one green candle is about $14.72.
Answer:
2,3,5,8
Step-by-step explanation:
edge 22
At the beginning of soccer practice a water cooler contained 5 gallons of water at the end of soccer practice the water cooler is only 1/4 full how many gallons of water are in the cooler at the end of practice explain
If a equals James's present age write an expression for his age seven years from now
Divide the amounts in the ratio stated £40 in the ratio 2:3
What is the value of a for the following circle in general form? x^2+y^2+ax+by+c=0
The 'a' in the equation refers to the coefficient influencing the horizontal shift of a circle's center. To find 'a', you often need specifics about the circle, such as its center or radius. When such information is provided, the quadratic formula can be used to solve it.
Explanation:The given equation x2+y2+ax+by+c=0 represents the general form of a circle equation. The value of 'a' is a coefficient that impacts the horizontal shift of the circle along the x-axis. Unfortunately, without specific values attached, it is impossible to directly calculate 'a'. Nevertheless, if the equation is compared to the completed square form of a circle equation, i.e., (x-h)2+(y-k)2=r2, you can ascertain that 'a' would be -2h, where h is the x-coordinate of the circle's center.
In specific examples, for instance, if a = 1, b = 0.0211, and c = -0.0211, we can solve for x using the quadratic formula -b ± √b² - 4ac divided by 2a yielding -0.0211 ± √(0.0211)2 − 4(1)(−0.0211)/2(1), where 'a', 'b', 'c' are the coefficients from the equation of a circle in its general form.
Learn more about Circle Equation here:https://brainly.com/question/36026103
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Help!!!100 students who are in 9th or 10th grade were asked if they participated in at least one extracurricular activity (sports, music, or drama). 40 of the students are in 10th grade, but only 18 of these participate in at least one extracurricular activity. 32 of the 9th grade students participate in at least one extracurricular activity. Create a two-way table
Identify the variable and the categories represented in this problem.
Set up and fill in a two-way table to represent the frequencies in this problem.
PLEASE HELP
In the casino game roulette players bet on which of 38 equally likely outcomes will occur on a single spin of the wheel. The probability of the ball landing on black is 18/38. If you bet $100 on black, which of the following is the best choice for your expected value?
a)-$5.26
b)+$5.26
c)+$52.63
d)-$52.63
e)0.00
Answer is a) -$5.26, just not sure how to achieve that. I know it's asking to find the mean (mu).
in the science center there were 236 butterflies in the fall and 128 more butterflies in the winter. in the spring ,there were 85 fewer butterflies .how many butterflies are in the science center now
Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16 find the value of x
If the width of a rectangle is 3in less than the length, and the perimeter of the rectangle is 14in, find the length and width of the rectangle.
Lee ann paid in advance for 20 hours of day care. After one week, she had used 12 3/4 hours. How many hours of day care does she have left!
For a two week period, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; checks written for $190, $45, and $7.50; and debit card transactions for $30, $5.59, $7.20, and $21.30. What is the ending balance for this time frame? A. $1,352.24 B. $1,377.91 C. $1,234.56 D. $1,466.09
the school library has 97 books about space. John and 3 of his friends, each check out 9 books. how many space books are still in school libarary?
Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160 pages long. She uses the equation 380−20d=160 to represent the number of days, d, it took her to read Part 1. How many days did it take Kim to read Part 1 of the book?
part 1 of the book took 19 days
8n^2-4(7m^3+5n^2)
help
donovan brought 5 1/2 kilograms of flour for $8.25.
TELL WHEATHER EACH STATEMENT IS TRUE OR FALSE.
A. The product (33/4) (2/11) gives the price of one kilograms of flour.
B. Donovan paid less than $1.25 per kilogram of flour.
C. $1.00 can purchase 2/3 kilogram of flour.
SHOW YOUR WORK
Which of the following describes the graph of the equation
y = 2(x+2)
A. Line
B. Circle
C.Ellipse
D. parabold
Given: ABCD is a parallelogram m∠A = 60º ; BK ⊥ AD AK = KD; Perimeter of ABCD = 24 Find: BD.
Charlotte's annual salary is 29,354 dollars. She is hoping to win the World Lottery which has a grand prize of 6,156,782,221 dollars. Approximately how many times as large is the World Lottery's grand prize as Charlotte's annual salary?
The World Lottery's grand prize is approximately 209,701 times larger than Charlotte's annual salary when dividing the grand prize amount by her annual salary.
To determine approximately how many times larger the World Lottery's grand prize is compared to Charlotte's annual salary, we perform a division of the two amounts. Charlotte's annual salary is $29,354, and the World Lottery grand prize is $6,156,782,221.
To find out how many times larger the lottery prize is than Charlotte's salary, we use the following calculation:
Lottery Prize to Salary Ratio = World Lottery Grand Prize / Charlotte's Annual Salary
Lottery Prize to Salary Ratio = $6,156,782,221 / $29,354 ≈ 209,701
This means that the World Lottery's grand prize is approximately 209,701 times larger than Charlotte's annual salary.
Note: This is a simplified approximation and does not take into account any deductions or taxes that would be applied to either the grand prize or the salary.
Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengths of 2.4 feet and a height of 3.4 feet. Find the percentage of the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round to the nearest tenth.
The millers electric bill jumped from 84 to 105 what was the percent increase
A car rental agency charges $16.00 per day plus $.15 per mile. Jim's bill for 4 days was $79.00. How many miles did he drive?
Answer:
Jim drove 100 miles
Step-by-step explanation:
A race car travels at a constant speed of 31m/s along a circular arc of radius 22m. What is the centripetal acceleration? a.) 1.41 m/s2 b.) 0.710 m/s2 c.) 43.7 m/s2 d.) 15.6 m/s2.
Answer:
C
The equation for this is a=v^2/r
when you plug in it is a=31^2/22=961/22=43.7m/s^2
Step-by-step explanation:
Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5), C'(-2,-2) triangle are congruent when reflected over the x-axis.
Final answer:
The reflection rule over the x-axis is when a point (x, y) reflects to (x, -y). Applying this rule to triangle A(-1,7), B(6,5), C(-2,2) gives us the reflected points that match the coordinates of A'(-1,-7), B'(6,-5), C'(-2,-2), proving the triangles are congruent.
Explanation:
The student is querying about the reflection of a triangle over the x-axis on a coordinate plane, specifically within the domain of Mathematics. To demonstrate that triangles A(-1,7), B(6,5), C(-2,2) and their reflected counterparts A'(-1,-7), B'(6,-5), C'(-2,-2) are congruent, we will use the reflection rule associated with reflections over the x-axis.
The reflection rule states that when a point (x, y) is reflected over the x-axis, the resulting point will be (x, -y). Applying this rule:
For point A(-1, 7), the reflection over the x-axis would be A'(-1, -7).
For point B(6, 5), the reflection would be B'(6, -5).
For point C(-2, 2), the reflection would be C'(-2, -2).
The reflected points A', B', and C' match the coordinates given for the congruent triangle, thus confirming the triangles are congruent using the reflection rule over the x-axis.
Four sets of data are shown in box-and-whisker plots. Which set has the largest MEDIAN?
Answer:
It’s c
Step-by-step explanation:
Jason is decorating his house and decides to paint one of the bedrooms blue. One tin of 500mL blue paint costs $11.50. To finish the whole bedroom, he needs 4L of blue paint. How much will it cost Jason to paint this bedroom?
Jason needs 4L of blue paint to paint a bedroom. At 500mL per tin costing $11.50 each, he will need 8 tins, totaling $92.00 for the paint.
The question asks to calculate the total cost of blue paint Jason needs to paint a bedroom. Jason requires 4L (4000mL) of paint and one 500mL tin costs $11.50. Since 4000mL is eight times 500mL, we will need eight tins of paint. To find the total cost, we multiply the cost of one tin by the number of tins needed:
Cost of one tin of paint = $11.50
Number of tins needed = Total volume required / Volume of one tin = 8
Total cost = Cost of one tin times Number of tins = $11.50 times 8 = $92.00.
Therefore, it will cost Jason $92.00 to buy the blue paint needed to paint the bedroom.