Answer:
Equation: 4 + 3n. Dale's Money: $7.3¢ Brandon's money: $25.9¢Step-by-step explanation:
Equation
Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.
Dale's Money
Given: $44 in total
44 ÷ 2 (To know how much they have equally)
22
22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)
7.3
Therefore, Dale has $7.3¢
Brandon's money
Given: 4 + 3n. Dale has 7.3
Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)
21.9 (Then add four because Brandon has four more...)
25.9
Therefore, Brandon has $25.9¢
The amount that Brandon and Dale have is $34 and $10, respectively.
What is an equation?An equation is formed when two expressions are equated with each other with the help of an equal sign.
Let the amount of money that Brandon has be x, and Dale has be y.
As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is
[tex]x + y = \$44[/tex]
Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,
[tex]x = 4 + 3y[/tex]
Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,
[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]
Now, substitute the value of y in the second equation we get,
[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]
Hence, The amount that Brandon and Dale have is $34 and $10, respectively.
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Which of the following represents the domain and range for the logarithmic
function below?
Help please
Please can anyone answer this question
Find 3 consecutive even integers such that 5 times the second is 82 more than the first .
Use the information in the figure to determine the height of the pole.
(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
pole height = 29 ft
Step-by-step explanation:
x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36
combine like terms:
x² = -1/4x² - 6x + 864
1 1/4x² + 6x - 864 = 0
divide both sides of the equation by 1 1/4:
x² + 4.8x - 691.2 = 0
(x - 24)(x + 28.8) = 0
x = 24 ft
pole height = 24 + 5 = 29 ft
-5.225 as a mixed number.
Answer:
-5 9/40
Step-by-step explanation:
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.
Suggestions:
Make sure that all words are spelled correctly.
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Find the area of the composite figure
Answer:
196 ft
Step-by-step explanation:
Bc im guessing
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for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA
Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.
For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]
Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
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If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).
Answer:
23
Step-by-step explanation:
g(3) = 3²+1 = 10
f(g(3)) = 2(10) + 3
= 23
Sin 17° cos 13° + cos 17° sin 13°
Answer:
.5
Step-by-step explanation:
Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)
sin(17+13) = 1/2
A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the hammers in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places
Question:
If a sample of 2 hammer is selected
(a) find the probability that all in the sample are defective.
(b) find the probability that none in the sample are defective.
Answer:
a [tex]Pr = \frac{2}{110}[/tex]
b [tex]Pr = \frac{72}{110}[/tex]
Step-by-step explanation:
Given
[tex]n = 11[/tex] --- hammers
[tex]r = 2[/tex] --- selection
This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities
Solving (a): Probability that both selection are defective.
For two selections, the probability that all are defective is:
[tex]Pr = P(D) * P(D)[/tex]
[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]
[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]
[tex]Pr = \frac{2}{110}[/tex]
Solving (b): Probability that none are defective.
The probability that a selection is not defective is:
[tex]P(D') = \frac{9}{11}[/tex]
For two selections, the probability that all are not defective is:
[tex]Pr = P(D') * P(D')[/tex]
[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]
[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]
[tex]Pr = \frac{72}{110}[/tex]
Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles
Answer:
20 Edges
Step-by-step explanation:
As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.
Please help asap please help
Answer:
C. 40 + (-58) + 160Step-by-step explanation:
It would be easier with C., the other options are already easy to calculate
40 + (-58) + 160 = 40 + 160 + (-58) = 200 - 58 =142If the outside diameter of a pipe is 1.275 feet and the inside diameter is 0.975 feet how thick is the pipe
Answer:
2.250 feet thick
Step-by-step explanation:
hope it helps mark as brainliest
Answer:
Step-by-step explanation:
The outside diameter minus the inside diameter would leave a difference of TWICE the thickness of the pipe, so divide the difference by 2
Pipe Thickness = (OD - ID) / 2
= (1.275 - 0.975) / 2
= 0.3 / 2
= 0.15 feet
Please help me ASAP really need help!!!
Answer:
2.7
Step-by-step explanation:
the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.
Find the area of the shaded region
Samantha makes $8.00 an hour babysitting. With the money Samantha earns babysitting, she plans to buy herself a MP3 player that costs $154.00.
Which inequality represents the number of hours Samantha would have to babysit in order to have enough money to buy the MP3 player?
A youth group takes a bus to the movie theater. The cost of a drink is $2.25, the cost of popcorn is $3.45, and the cost of a ticket is $7.00. Each student gets a ticket, a drink, and popcorn. The bus rental costs $100.
If the total cost of the trip is $252.40, how many people went?
Sandra surveyed 15 of her friends to find the number of badges and stickers they owned.
Based on the distribution of data, which observation is correct?
The mean number of stickers is about 1.3 times the mean number of badges.
The mean number of stickers is about 1.3 times the mean number of badges.
The mean number of stickers is about 0.78 times the mean number of badges.
The mean number of stickers is about 0.78 times the mean number of badges.
The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.
The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.
The median number of badges is greater than the median number of stickers because the tallest column is farther right.
The median number of badges is greater than the median number of stickers because the tallest column is farther right.
Answer:
8h ≥ 154
Step-by-step explanation:
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The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved
Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
HELP! WILL GIVE BRANLIEST!!
Answer:this is quite hard as i cant see the cone but the one you have may be the answer i am not sure of this beacuse i cannot see the cone shape.
Step-by-step explanation:
help me for a brianly
Answer:
32 yd²
Step-by-step explanation:
because 8 • 4 is 32 so it's 32 yd²
Answer:
A = 32 yds^2
Step-by-step explanation:
We know the formula for the area of a rectangle is
A = lw where l is the length and w is the width
A = 4 yds * 8 yds
A = 32 yds^2
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,
Answer: the fountain is located at point (-1,-0.5)
Step-by-step explanation:
Answer: (-1 , -0.5)
Step-by-step explanation:
At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July. How many sundaes were sold in July?
Answer:
I Think 178
Step-by-step explanation:
Need help!!!!!!!!!!!
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth
Answer:
The perimeter of a rectangle is 36 cm, its breadth is 8 cm
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 36 cm
length (L) = 10 cm
Now,
Perimeter (P) = 2 × (length + breadth)
P = 2 × (l + b)
36 = 2 × (10 + b)
36 = 20 + 2b
2b = 36 - 20
2b = 16
b = 16 ÷ 2
b = 8 cm
Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm
-TheUnknownScientist
The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.
Answer:-Given:-[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.
[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.
To Find:-Breadth (B) of a rectangle.
Solution:-We know,
P = 2(L + B)
So,
36 = 2(10 + B)
36 = 20 + 2B
36 - 20 = 2B
16 = 2B
B = 16/2 = 8 cm.
Breadth (B) of a rectangle is 8 cm. [Answer]What three-dimensional figure is represented by the net shown below?
A cube
B square pyramid
C rectangular prism
D rectangular pyramid
Answer:
C
Step-by-step explanation:
The net, if you imagine it folded up, will look like a long box.
Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.
A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.
Good luck ^^
The three-dimensional figure represented by the net shown below is a rectangular prism.
Option C is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
From the figure,
We see that it is an open rectangular prism.
All the open sides are rectangular in shape.
If we fold all the sides it will form a rectangular prism.
Thus,
The three-dimensional figure represented by the net shown below is a rectangular prism.
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what is vaule of y when x=4'5
Answer:
[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
[tex]x = \frac{4}{5}[/tex]
Required
Find y
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
Substitute [tex]x = \frac{4}{5}[/tex]
[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]
[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]
Collect like terms
[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]
[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]
Split the surd
[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]
Rationalize
[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]
Take LCM and add
[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]
[tex]y = \frac{2\sqrt5+6}{5}}[/tex]
or solve as:
[tex]y = \frac{2*2.24+6}{5}}[/tex]
[tex]y = \frac{10.48}{5}[/tex]
[tex]y = 2.096[/tex]
40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.
a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared
Answer:
a.
Step-by-step explanation:
diameter 7cm
radius 3.5cm
area =πr²
=22/7* 3.5²
=38.47cm²
circumference=πd
=22/7* 7
=22cm
Answer:
a. C = 21.98cm and A = 38.47cm squared
Step-by-step explanation:
Diameter is twice the radius. Therefore radius, r, is 3.5cm.
Circumference = 2πr =2π(3.5)=7π=21.98cm
Area=πr²=π(3.5²)=12.25π=38.47cm²
Which of the following are possible answers you might get when solving a system of equations? Select all that apply
A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions
Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.
Answer:
B
Step-by-step explanation:
Makes the most since