Answer:
Equation: 49 = 3x + 7
Answer: x = 14
Step-by-step explanation:
Let Kendra's daughter's age be denoted by the variable, x.
Set the equation. Note that:
Kendra is 49 years old.
Kendra is 3 times her daughter's age (x) plus 7 years.
Equation: 49 = 3x + 7
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 7 from both sides of the equation:
49 (-7) = 3x + 7 (-7)
49 - 7 = 3x
42 = 3x
Next, divide 3 from both sides of the equation:
(42)/3 = (3x)/3
x = 42/3
x = 14
14 is your answer.
~
Simplify the following expression
6y + 8 - 2y + 5y - 9
Answer: 9y-1
:))))))))))))))))))))
If 70% of a number is 126 and 95% of the same number is 171, find 25% of that number.
Answer:
45
Step-by-step explanation:
70%=126
100%=?
100×126=12600÷70
=180
100=180
25=?
25×180÷100
=45
what is the value of n when 3/5 of n is 27?
Answer:
n=45
Step-by-step explanation:
divide 27 by 3 and you get 1/5 of n. Then multiply the number you got (9) by 5 to get 1 whole. your answer is then 45
What is the y-intercept of the line?
Answer:
28
Step-by-step explanation:
Answer: 5 is the y-intercept and -16 is the slope
22 - 17 = 5
32 - 48 = -16
Step-by-step explanation:
Solve for w. Only use numbers in your answer.
8w - 15 = 57
w =
Answer:
w = 9
Step-by-step explanation:
1. Add 15 from both sides: 8w = 72
2. Divide my 8: w = 9
Answer:
the answer for this question is 9
Jason has 5 boxes and 3 cases of soup cans Each box contains 6 cans and each case contains 36 cans How many cans of soup does Jason have altogether?
1. 138
2. 198
3. 288
4. 3,240
Will the product of 22.65 x 0.999 be greater than or less than 22.65? Without calculating, explain how you know.
It will be less since as common knowledge, it's a decimal so it'll be a little bit less
Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.
Answer:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
Step-by-step explanation:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
Option A and E are the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).
This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.
Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.
This claim is supported by the confidence interval since the upper limit of the interval is less than 5.
Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.
Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.
Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.
This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.
Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
This claim is supported by the confidence interval since the upper limit of the interval is less than 6.
Therefore,
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
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How many distinct variables does the expression below
contain?
2x^5+xy^4-zx
–12x +12 + 10x – 16 *
Answer:
x=2
Step-by-step explanation: you would have to move 10 to the other constant and add and then move 12 to 16 by adding 12 to 16 then divide the 2 number then BOMB
Marge conducted a survey by asking 350 citizens whether they frequent the city public parks. Of the citizens surveyed, 240 responded favorably.
What is the approximate margin of error for each confidence level in this situation?
0.07
0.03
0.04
0.05
0.06
99%
95%
90%
Answer:
The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.
The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.
The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
350 citizens, 240 responded favorably:
This means that [tex]n = 350, \pi = \frac{240}{350} = 0.6857[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
[tex]M = 2.575\sqrt{\frac{0.6857*0.3143}{350}} = 0.0639[/tex]
The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
[tex]M = 1.96\sqrt{\frac{0.6857*0.3143}{350}} = 0.0486[/tex]
The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
[tex]M = 1.645\sqrt{\frac{0.6857*0.3143}{350}} = 0.0408[/tex]
The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.
Covert 2/3 years to months
Answer:
7.9 or if you need to round it,it will be 8
Step-by-step explanation:
dont have a explanation nut i hopes this help.
A fraction of the figure below is shaded.
3rd grade
Answer:
D
Step-by-step explanation:
The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1
What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3
Answer:
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that [tex]m = -\frac{1}{3}[/tex]
So
[tex]y = -\frac{1}{3}x + b[/tex]
Through the point (-6, -6)
This means that when [tex]x = -6, y = -6[/tex]. So
[tex]y = -\frac{1}{3}x + b[/tex]
[tex]-6 = -\frac{1}{3}(-6) + b[/tex]
[tex]b + 2 = -6[/tex]
[tex]b = -8[/tex]
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Please solve this math question.
Answer:
none of these
Step-by-step explanation:
the side lengths are are 2√5/5, 2, and 4.
sin(x) = opp/hyp
sin(x) = 2/2√5
What is the value of x?
What is the value of z?
What is tue value of y?
Answer:
x is equal to 55
y is equal to 70
z is equal to 55
Step-by-step explanation:
You can see that x is equal to (180 - 125)°, because x° and the 125° mark form a single line.
So x is equal to 55.
Also, because of the markings on the two sides of the triangle, we can see that it's an Isosceles triangle, meaning x and z are equal, so z too is equal to 55.
Finally, knowing that the sum of the angles inside any triangle is 180°, y then must equal (180 - 55 - 55)°, or 70°
A carpenter buys a box containing 0.6 kilogram of nails. Each nail has a mass of 5 grams. How many nail are in the box?
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table
Answer:
the day.
step-by-step: you dont need the day
Answer:
G
Step-by-step explanation:
HELP ASAP!!!!! 20PTS!!
Answer:
the answer is 80!!!!!!!!!!
Step-by-step explanation:
It takes 7 gardeners 8 hours to plant 1 680 seedlings on a piece of land.
Calculate (in hours and minutes) how long it would take 12 gardeners to
plant the seedlings
Answer:
4 hours, 40 minutes
Step-by-step explanation:
1680 ÷ 8 hours = 210 seeds per hour for 7 gardeners
30 seeds per hour per gardener
30 x 12 = 360 seeds per hour for 12 gardeners
4.66 hours to plant. which is 4 hours and 40 minutes
How many invitations should Tyler make each day if his goal is 122 and he already made 66 and he wants to finish in a week
0.8 as a fraction??
You can give your answer
Answer: 4/5
Step-by-step explanation:
0.8 = 8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
Can someone please help me
Answer:
135ft^3
Step-by-step explanation:
Volume for triangular prism = 1/2bhl
v=1/2*6*5*9= 135
an employer pays three workers x,y,z a total amount of 6100 a month. x is paid 125% of the amount y is paid; which represent 80% of the amount z is paid. how much does x receive a month
Answer:
X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.
Step-by-step explanation:
Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:
X = 1.25Y
Y = 0.8Z
Z = Z
Z + Y + X = 6,100
Z + 0.8Z + (1.25 x 0.8Z) = 6,100
Z + 0.8Z + Z = 6,100
2.8Z = 6,100
Z = 6,100 / 2.8
Z = 2,178.57
Y = 0.8 x 2,178.57 = 1,742.85
X = 1,742.85 x 1.25 = 2,178.57
2,178.57 + 2,178.57 + 1,742.85 = X
6,099.99 = X
Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.
Complete the congruency statement for the triangles
Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Which fraction has the larger value? *
-3/4
-1/2
Answer:
I'm thinking it's -1 / 2
Step-by-step explanation:
not sure how but
Answer:
-1/2
Step-by-step explanation:
Why? Because 1/2 is bigger than 3/4
PLEASE HELP
WILL MARK BRAINLY
1. The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent. Which of the following equations
defines the population t years after 2010?
O P= 45, 2302
OP=45, 230(1+0-2)*
OP=45, 2300
OP=45, 230(1 +0.02)
Answer:
C
Step-by-step explanation:
The following equation defines the population t years after 2010,
P = 45230(1 + 0.02[tex])^{t}[/tex].
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and sx is the time period.
Given:
The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.
The formula;
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
That means,
P = 45230(1 + 0.02[tex])^{t}[/tex]
Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]
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Can you plz help I don’t understand
Answer: 4.2
Step-by-step explanation:
7.59 x 10^5 in standard form
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7.59 \times 10^5}[/tex]
[tex]\mathsf{10^5}[/tex]
[tex]\mathsf{= 10(10)(10)(10)(10)}[/tex]
[tex]\mathsf{10(10) = 100}[/tex]
[tex]\mathsf{= 100(100)(10)}[/tex]
[tex]\mathsf{100(100) = 10,000}[/tex]
[tex]\mathsf{= 10,000(100)}[/tex]
[tex]\mathsf{= 100,000}[/tex]
[tex]\mathsf{7.59(100,000)}[/tex]
[tex]\mathsf{= \bf 759,000}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: \bf 759,000}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A kite is flying at the end of a 20-meter string. If the string makes an angle of 55° with the ground, how many meters above the ground, to the nearest meter, is the kite
The total distance of Kite from the ground is 16.38 meters and this can be determined by using the trigonometric function.
Given :
A kite is flying at the end of a 20-meter string. The string makes an angle of 55° with the ground.The following steps can be used in order to determine the total distance of Kite from the ground:
Step 1 - The trigonometric functions can be used in order to determine the total distance of Kite from the ground.
Step 2 - The sine function is used to measure the distance. The mathematical expression of the sine function is:
[tex]\rm sin\theta = \dfrac{P}{H}[/tex]
where P is the perpendicular and H is the hypotenuse.
Step 3 - Now, substitute the values of the known terms in the above expression.
[tex]\rm sin55 = \dfrac{Distance}{20}[/tex]
Step 4 - Simplify the above expression.
Distance = 16.38 meters
For more information, refer to the link given below:
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