Answer:
6(7a + 9b) = 3(14a + 18b)
Step-by-step explanation:
We need to find the equivalent expression for the given expression i.e. 6(7a + 9b).
We can use the distributive property here such that,
a(b+c) = ab + ac
We have, a = 6, b = 7 and c = 9
6(7a + 9b) = 6(7a) + 6(9b)
= 42a + 54b
or taking 3 common from the above expression.
= 3(14a+18b)
Hence, the correct option is (a).
if arc lm = 20 ft, find the radius of N
Answer:
120 ft
Step-by-step explanation:
60/360 or 1/6 of circle = 20 ft
full circle = 20 x 6 = 120 ft
diameter = 120/3.14 = 38.22 ft
radius = 38.22/2 = 19.11 ft
Answer:
Step-by-step explanation:
60° = ⅙ of 360°, so length of arc LM = ⅙ of 2πr.
20 = 2πr/6
r = 60/π ft
What is the value of k in the following equation?
2(4k + 5) + 3(3 – 3k) = 25
Answer:
K = - 6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(4k+5)+3(3−3k)=25
Step 1: Simplify both sides of the equation.
2(4k+5)+3(3−3k)=25
(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)
8k+10+9+−9k=25
(8k+−9k)+(10+9)=25(Combine Like Terms)
−k+19=25
−k+19=25
Step 2: Subtract 19 from both sides.
−k+19−19=25−19
−k=6
Step 3: Divide both sides by -1.
3. Temperature
(THIS IS NOT A MULTIPLE CHOICE)
Answer:
a) clusters: none, gaps: 99, and 100, peaks: 101, outliers: none.
b) center of distribution:
median: 101, mean: 99.9090.
(a)
The outliers are the values that are far from the middle.
In this case, the outliers are 97, 98, 98, 98.
A cluster occurs when the data occurs within a small interval.
In this case, there's a cluster between 100 and 102.
According to the dot plot, there's a gap from 98 to 101.
At last, the peak is at 101, which is the value with the highest frequency.
(b)
The given data set doesn't form a normal distribution because there's no data in the middle of the data set, instead, there's a gap. Additionally, the spread or range of the data set is 5, where the majority of the data is not in the middle which mean the dispersion of the data is important.
Which digit in the following number is the one that determines its precision? 2801.3
The answers 3
Answer:
3
Step-by-step explanation:
Nick is splitting 4 quarts of ice cream with 9 members of the team. If the ice cream is split evenly, how many will each person get? Explain.
Answer:
Each member will get 3 and 1/2 cups or 3.5 cups of ice cream.
SYSTEM OF EQUATIONS
The sum of three times Sophia's age and twice Nick's age is 73. Twice Sophia's age plus four times Nick's age is 86. How old is Sophia?
Consider circle E.
A
B
26
D
E
F
What is the mBC ?
mBC
Please help
Step-by-step explanation:
< AEB + < BEC = 180° {BEING LINEAR PAIR }
26° + < BEC = 180°
< BEC = 180° - 26°
< BEC = 154°
ARC BC = < BEC ( relation between arc and central angle)
Arc BC = 154°
Hope it will help :)
find the area of iscolces triangle 13cm
b=2A
hb
For an isosceles triangle, the area can be easily calculated if the height (i.e. the altitude) and the base are known. Multiplying the height with the base and dividing it by 2, results in the area of the isosceles triangle.
Which graph shows an increasing linear function? p.s dont mind the tabs lol!!!
Which equation is equivalent to 2-2(3x - 1)=2
Answer:
it should be C
Step-by-step explanation:
I hope this helps! I am sorry if I am wrong!
Answer:
c
Step-by-step explanation:
2-2(3x-1)=2 2-6x+2=2 . 2-6x+2=2 4-6x=2 . -6x+4=2 . -6x+4-4=2-4 -6x=-2 -6x=-2 -6x/-6=-2/-6 x=1/3 .
Celesta and Sam found that 14 marbles would fill each pouch. There were 12 pouches. How many marbles
did they need to fill all the pouches?
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 1616 hours or less for the week. The 7th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false.
The 56th percentile is greater than or equal to 26 hours.
a. True
b. False
Answer:
False
Step-by-step explanation:
Simplify: -6(x + 5) show work plz
Answer:
The answer is -6x - 30
Step-by-step explanation:
1) Expand by distributing terms.
[tex] - 6x - 6 \times 5[/tex]
2) Simplify 6 × 5 to 30.
[tex] - 6x - 30[/tex]
Thus, the answer is -6x - 30.
Answer:
-6x - 30
Step-by-step explanation:
Multiply using the distributive property.
-6x - 30
Hope this helps
Which of the following equations has no solution?
3x + 1 = 2x + 1
3x + 1 = 3x + 1
3x + 1 = 3x + 2
Answer:
the last one
..
at the market Miss Winn bought 3/4 IB of grapes and 5/8 idea of cherries how many ounces of grapes did Miss win by
Answer:
12 oz of grapes
Step-by-step explanation:
1 lb = 16 oz so 16*3/4 = 12
HELPP! I"LL GIVE THE FIRST RIGHT ANSWER BRAINLIEST!!!
Answer:
61
Step-by-step explanation:
Heights of Smith's Adult grandchildren median: 339
Heights of Thompsons' Adult Grandchildren median: 400
400 - 339 = 61
plz help fast plz plz plz
Answer: -6
Step-by-step explanation:
Find the area of the triangle below.
6
18
A =
units squared
Answer:
hhhdddhhsuuwuwuww?w?w?
Write the linear inequality shown in the graph. The gray area represents the shaded region. y ≤ –x + 4 y ≤ –x – 4 y ≥ –x – 4 y ≥ –x + 4
For Example:
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≤ 3x + 4
B. y ≤ 3x – 4
C. y ≥ 3x + 4
D. y ≥ 3x – 4
Answer: C
Step-by-step explanation:
1. The graph indicates that the line intersect the y-axis at -4.
2. Then, you must choose any point that are located within the region and replace them to see if the inequality is satisfied. Therefore, you have:
Point (0,2)
I hope this helps! :)
Solve for X in the figure below, knowing line L is parallel to line M. Thank You!
Answer:
3x+5= 65°( alternate interior angles)
3x=60
x=60/3=20°
Step-by-step explanation:
Answer:
x = 18.67
Step-by-step explanation:
3x + 5 = 61
-5 -5
3x = 56
divide by 3
x = 18.67
simplify the expression Please HELP
Two angles are complementary. The measure of the first is (3x+14) and the measure of the second one is (5x-20). What are the measures of the two angles?
Answer:
x=17
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. x=17. I hope this helps
Raul borrows $600 at an interest rate of 8% per year for 4 years. How much simple interest will he have to pay?
__________________________________
A = P × i × n = $600 × 8% × 4 Years= $192= $600 + $192= $2,619Raul Will Have To Pay $2,619__________________________________
Tai has 1/2 gallon of milk left in his
refrigerator. He pours the milk into
glasses that can each hold a 5/64 gallon.
How many glasses can Tai fill
completely with milk?
Answer:
He can completely fill six glasses, and there will be one glass 2/5 of the way full.
Step-by-step explanation:
Which expression is equivalent to f(x)=6x^2-13x+5
Answer:
(3x - 5)(2x - 1)
Step-by-step explanation:
6x² - 13x + 5
6x² - (10 + 3)x + 5
6x² - 10x - 3x + 5
2x(3x - 5) - (3x - 5)
(3x - 5)(2x - 1)
Which means, 6x² - 13x + 5 is equivalent to (3x - 5)(2x - 1) or vice versa
Mean = 25
Standard Deviation = 3.8
P(X
Find the value of k.
Round to 2 decimal values.
Answer:
The normal distribution is explained for the solution of this question.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean = 25, Standard Deviation = 3.8
This means that [tex]\mu = 25, \sigma = 3.8[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 25}{3.8}[/tex]
If P(X > k) = a
We have to find [tex]X = k[/tex] when Z has a pvalue of 1 - a.
If P(X < k) = a
We have to find [tex]X = k[/tex] when Z has a pvalue of a.
50 POINTS AND BRAINLIEST!
Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is
A. Linear
B. Non-linear
Answer:
its A linear
Step-by-step explanation:
its going upwards and that means its linear and when the end point is going downwards that means its non linear
Answer:
my answer was incorrect my mistake
Determine if the equation y = 15(1.35)* represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.
Answer:sdfghgfdfghnhgfdfgh
Step-by-step explanatsdfghjhgfghjk
====================================================
Explanation:
The equation is in the form y = a*(b)^x
The 'a' is the initial or starting value. In this case, a = 15.
The b is the base of the exponent which is tied to growth or decay. If 0 < b < 1, then we have decay. If b > 1, then we have growth.
Since b = 1.35, and 1.35 > 1, this means b > 1 and the given equation represents exponential growth.
Solving 1+r = 1.35 leads to r = 0.35. This means the growth rate is 35%
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
mZR
=
Answer:
m<R = 22.62°
Step-by-step explanation:
Reference angle = R
Opposite = 5 cm
Hypotenuse = 13 cm
Apply the trigonometric function SOH:
Sin R = Opp/Hyp
[tex] Sin (R) = \frac{5}{13} [/tex]
[tex] R = sin^{-1}(\frac{5}{13}) [/tex]
R = 22.6198649°
m<R = 22.62° (nearest hundredth)
In a lab experiment, 5400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 4 hours. How many bacteria would
there be after 17 hours, to the nearest whole number?
Answer:
it’s 102747.494736, estimate is 102747
Step-by-step explanation: