Answer:9 Groups
Step-by-step explanation:
Given
There are 126 boys and 135 girls
The greatest no of groups that could be form is determine by factorizing 126 and 135
[tex]126=2\times 7\times 9[/tex]
[tex]135=3\times 5\times 9[/tex]
both contains 9 as highest multiplying factor thus 9 groups can be formed.
Which are factors of x2 – 4x – 5? Check all that apply. (x – 5) (x – 4) (x – 2) (x + 1) (x + 5)
What would a frog do if he could not find scissors to cut a coupon out of the newspaper?
write division problem that will have a 2-digit quotient and another division problem that will have a 3-digit quotient. Explain how you chose the divisor and dividends.
Simplify the following expression. (3 + 8 x ) + 7 x
3 + 15
x 18
x 18 + x
11 x + 7
The simplified expression of 4 +9 "/" 3 "/" 2 x 3 + (3 + 1) x 4 is 17, following the order of operations or PEMDAS.
To simplify the given expression, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
The original expression is 4 +9 / 3 / 2 x 3 + (3 + 1) x 4. First, address operations inside parentheses: (3+1) equals 4. The expression becomes 4 +9 / 3 / 2 x 3 + 4 x 4.
Next, handle the multiplication and division from left to right: 9 / 3 equals 3, and 2 x 3 equals 6. Then, 4 x 4 equals 16. This turns our expression into 4 + 3 - 6 + 16.
Finally, perform addition and subtraction from left to right: 4 + 3 equals 7, 7 - 6 equals 1, and 1 + 16 equals 17. Therefore, the simplified expression is 17.
You order an entree for $12. You pay 0.78 in taxes. What is the tax rate
What is 0.306 in word form?
Answer:
Three hundred six thousandths.
Step-by-step explanation:
We are asked to write 0.306 in word form.
We can see that our given number has 3 tenths, 0 hundredths and 6 thousandths.
To convert our given number in word form, we will write the number of thousandths in 0.306.
The number of thousandths for our given number are three hundred six thousandths, therefore, our number is three hundred six thousandths.
What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3 ?
Will give brainliest.
The table below represents the displacement of a bird from its nest as a function of time: Time (hours) x Displacement from nest (miles) y 0 12 1 20 2 28 3 36 4 44 Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)
A basket of laundry is being separated. Divide 48 pieces into 2 clothing groups so the ratio is 1 to 3
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned recieve or lose overall?
Trigonometric area formula: Area = 1/2 ab sin(c)
What is the area of triangle DEF? Round to the nearest tenth of a square unit.
10.3 square units
18.0 square units
20.0 square units
20.6 square units
Answer:
1. 10.3 square units.
Step-by-step explanation:
The general formula for area of triangle is [tex]\frac{1}{2}(\text{ Base}\times\text{ Height}})[/tex]. We can also find area of a triangle using trigonometric area formula.
[tex]Area=\frac{1}{2} ab\text{ sin}(c)[/tex], where a represents length of base and height of triangle is represented by [tex]b\text { sin}(c)[/tex].
We have been given two angle measures but we can only use sine of included angle whose two side lengths are given. In our triangle the angle that measures 31 degrees in included angle of sides EF and DF.
Now let us substitute our given values in the above formula.
[tex]Area=\frac{1}{2}\times 8\times 5\text{ sin}(31)[/tex]
[tex]Area=\frac{1}{2}\times 8\times 5\times 0.51503807491[/tex]
[tex]Area=4\times 5 \times 0.51503807491[/tex]
[tex]Area=20 \times 0.51503807491[/tex]
[tex]Area=10.3007614982\approx 10.3[/tex]
Therefore, the area of triangle DEF is 10.3 square units and 1st option is the correct choice.
Answer:
10.3= the awnser
Step-by-step explanation:
just took test and got it right.
what is the graph of the equation 4x-5y=15
The correct answer I think is
You decide to treat yourself to some of your favorite cookies. The box that you bought has 24 cookies. You eat 2 cookies each day as a snack. Which equation shows the number of cookies that you have left at the end of each day?
Answer:
-2X+24
Step-by-step explanation:
Answer:
[tex]y=-2x+24[/tex]
Step-by-step explanation:
Let
x------> the number of days
y----->the number of cookies which are left at the end of each day
we know that
[tex]y=-2x+24[/tex]
verify
For [tex]x=0\ days[/tex]
[tex]y=-2(0)+24=24\ cookies[/tex] -----> original amount of cookies
For [tex]x=1\ days[/tex]
[tex]y=-2(1)+24=22\ cookies[/tex]
For [tex]x=12\ days[/tex]
[tex]y=-2(12)+24=0\ cookies[/tex]
• capital one is advertising a 60-month, 5.99% apr motorcycle loan. if you need to borrow $8000 to purchase your dream harley davidson, what will your monthly payment be?
Answer:
The monthly payment is $ 154.29
Step-by-step explanation:
Given : time period = 60 months
Annual interest rate = 5.99%
Amount to be borrowed = $8000
We have to calculate the monthly payment.
We know ,
[tex]P=\dfrac{A\cdot \frac{i}{12}}{1-(1+\frac{i}{12})^{-n}}[/tex]
We have,
interest rate = 5.99% = 0.0599
Amount = $8000
time period = 60 months
P is monthly payment.
[tex]P=\dfrac{8000\left(\frac{0.059}{12}\right)}{1-\left(1+\frac{0.059}{12}\right)^{\left(-60\right)}}[/tex]
Simplify, we get,
P = 154.29
Thus, the monthly payment is $ 154.29
Using the first derivative test, find all relative extrema for f(x) g
I really need help with this question!
A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin
There are 60 dimes and 32 quarters.
Given that a sum of $ 14 is made of 92 coins consisting of dimes and quarters, to determine how many are there of each kind of coin, the following calculation must be performed:
0.10 x 92 + 0.25 x 0 = 9.20 0.10 x 72 + 0.25 x 20 = 12.20 0.10 x 52 + 0.25 x 40 = 15.20 0.10 x 62 + 0.25 x 30 = 13.70 0.10 x 60 + 0.25 x 32 = 14
Therefore, there are 60 dimes and 32 quarters.
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Which of these r-values represents the weakest correlation?
A. –0.75
B. –0.15
C. –0.55
D. –0.35
Answer: B. -0.15
Step-by-step explanation: It is the farthest from -1 so it would be -0.15.
The correct r - value which represents the weakest correlation is, - 0.15.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, Apply the absolute value to each number.
In other words, remove the negative sign to determine the positive version of that number.
-0.75 turns into 0.75
-0.15 turns into 0.15
-0.55 turns into 0.55
-0.35 turns into 0.35
Here, The smallest result is 0.15, which is closest to 0.
Thus, The closer r is to 0, the weaker the correlation.
Hence, The correct r - value which represents the weakest correlation is, - 0.15.
Learn more about the function visit:
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use mental math to solve the equation z/-12 = -5
translate to an algebraic expression 49 more than t
how do u find the initial value on a graph
Illinois State tax is 4.98%. How much did Brody pay for a post card that cost $1.19?
The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts worth $9 per pound to get 50 pounds of a mixture that will sell for $6.80 per pound. She uses 10 fewer pounds of cashews than peanuts. How many pounds of each did she use?
Nora took 8 bottles of water to a picnic. Of those bottles of water, she and her friends opened a certain number of bottles. b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
A .8 + b
B. b + 8
C 8 - b
D. b - 8
a telephone pole needs a wire attached to its top and anchored to the ground at a point that is 56 feet less than the height of the pole. if the wire is to be 16 feet longer than the height of the pole what is the height of the pole
Boel decided to plant rose bushes in her garden. She has 24 bushes she places 6 bushes in each row. How many rows of rose bushes does she plant in her garden
Answer:
she can plant 4 rows of bushes
Step-by-step explanation:
6 x _ = 24 (4) or 24 divided by 6 = 4
The yard behind the Cindy’s house is rectangular in shape
and has a perimeter of 72 feet. If the length of the yard
is 18 feet longer than the width w of the yard, what is the
area of the yard, in square feet?
How to find two fractions between 3/5 and 4/5
What percent of 18 is 36
How many unique triangles can be made when one angle measures 90° and another angle is half that measure?