Answer:
11 years old
Step-by-step explanation:
If four brothers have the average age 6, then the sum of their ages is
[tex]4\cdot 6=24[/tex]
years.
Let x years be the age of sister. If four brothers and their sister have the average age 7, then
[tex]\dfrac{24+x}{5}=7.[/tex]
Multiply this equation by 5:
[tex]24+x=35\Rightarrow x=35-24=11.[/tex]
The sister is 11 years old.
a red ribbon 11 meters long is 5 times as long as a blue ribbon. How long is the blue ribbon?
Red ribbon
=Blue ribbon ×5
=11 m
So, changes the times symbol into divide
11m ÷ 5
=2.2m
Check!
Red ribbon=Blue ribbon × 5
11m=Blue ribbon × 5
11m÷5=Blue ribbon
2.2m=Blue ribbon
Blue ribbon=2.2m
Answers
2.2m
To find the length of the blue ribbon, divide the length of the red ribbon (11 meters) by 5. This calculation reveals that the blue ribbon is 2.2 meters long.
Explanation:The question asks us to find the length of a blue ribbon when we know a red ribbon is 11 meters long and is 5 times as long as the blue ribbon. To solve this, we divide the length of the red ribbon by 5:
Identify the relationship: The red ribbon's length is 5 times the blue ribbon's length.Write the equation: Red Ribbon Length = 5 × Blue Ribbon Length.Substitute the known values into the equation: 11 meters = 5 × Blue Ribbon Length.Divide both sides of the equation by 5 to find the blue ribbon's length: Blue Ribbon Length = 11 meters / 5.Calculate: Blue Ribbon Length = 2.2 meters.Therefore, the length of the blue ribbon is 2.2 meters.
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what is the IQR of 62, 65, 93, 51, 55, 76, 79, 85, 55, 72, 78, 83, 91, and 82
The IQR of the given data set is 23, calculated by ordering the data, finding the first and third quartiles, and then subtracting the first quartile from the third quartile.
To find the Interquartile Range (IQR) of the given data set, you must first order the data from least to greatest, then find the median (Q2), the first quartile (Q1), and the third quartile (Q3). The IQR is the difference between Q3 and Q1.
Order the data: 51, 55, 55, 62, 65, 72, 76, 79, 82, 83, 85, 91, 93.Find the median: The median is 76, which splits the data into two halves.Find Q1 and Q3: The lower half before the median is 51, 55, 55, 62, 65, 72. The median of this half is Q1 which is 62. The upper half after 76 is 79, 82, 83, 85, 91, 93. The median of this half is Q3, which is 85.Calculate the IQR: IQR = Q3 - Q1 = 85 - 62 = 23The IQR of the data set is 23.
Help please! (seventh grade math)
Answer:
9
Step-by-step explanation:
If original rect was 5 square units and if new rect is 45 square units, then
scale factor = 45/5 = 9
Answer:
The scale factor is 3
Step-by-step explanation:
The area of rectangle N is 5 units
The area of rectangle P is 45 units
Distance is times the scale factor
Area is times the scale factor squared
Volume is the scale factor cubed
Area of rectangle N * scale factor squared = Area of rectangle P
5 * SF ^2 = 45
Divide each side by 5
5/5 * SF ^2 = 45/5
SF ^2 = 9
Now we need to take the square root of each side to find the scale factor
sqrt(SF ^2) = sqrt(9)
SF = 3
What is the volume of a cube with an edge length of 2.5 ft?
Enter your answer in the box
hurry up plzzzz
Answer:
15.625 cubic feet
Step-by-step explanation:
Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?
For this problem, we plug in the numbers for t and the appropriate letters for e to the equation e = 300 - 10t.
a) a = 300 - 10(-2)
simplify: a = 300 + 20
simplify: a = 320 ft.
But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.
b) b = 300 - 10(3.5)
simplify: b = 300 - 35
simplify: b = 265 ft.
c) c = 300 - 10(30)
simplify: c = 300 - 300
simplify: c = 0 ft.
what is 1800 to the nearest 100th
A hundredth is 0.01
A hundred is 100.
You look at the digital to the right of the 1, in the example above. If that digit is 5 or greater, round up, other round down.
In both cases, you will look at the 0, therefore you would round down.
1800 to the nearest hundredth is 1800.00.
1800 to the nearest hundred is 1800.
2y-x=5
x2+y2-25=0
Solve the system by the substitution method
Answer:
(- 5, 0), (3, 4)
Step-by-step explanation:
Given the 2 equations
2y - x = 5 → (1)
x² + y² - 25 = 0 → (2)
Rearrange (1) expressing x in terms of y
x = 2y - 5 → (3)
Substitute x = 2y - 5 into (2)
(2y - 5)² + y² - 25 = 0 ← expand parenthesis and simplify
4y² - 20y + 25 + y² - 25 = 0
5y² - 20y = 0 ← factor out 5y from each term
5y(y - 4) = 0
Equate each factor to zero and solve for y
5y = 0 ⇒ y = 0
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 0 : x = 0 - 5 = - 5 ⇒ (- 5, 0)
y = 4 : x = 8 - 5 = 3 ⇒ (3, 4)
Answer:
y=0 or 4, x=-5 or 3
Step-by-step explanation:
First make one unknown in the first equation the subject of the formula.
2y-x=5 will become:x=2y-5
Then in the second equation, wherever there is x we substitute it with 2y-5
(2y-5)²+y²-25=0 (2y-5)(2y-5)+y²-25=0
opening the brackets gives: 4y²-10y-10y+25+y²-25=0
5y²-20y=0
Factorizing the equation we get the following:
y(5y-20)=0
y=0 or
5y-20=0
5y=20
y=4
Thus y=0 or 4
Substitute 0 and 4 for y in any of the equations provided.
Picking the first equation and starting with y=0
2(0)-x=5
x=-5
Using y=4
2(4)-x=5
x=3
a certain isotope decays so that the amount A remaining after t years is given by: A=A0 x e^-0.03t, where A0 is the original amount of the isotope. to the nearest year, the half-life of the isotope (the amount of the time it takes to decay to half the original amount) is ____ years
Answer:
[tex]t = 23.10\ years[/tex]
Step-by-step explanation:
We have an exponential decay function:
[tex]A = A_0e ^{-0.03t}[/tex]
This function decreases as the years pass. That is, if A is the quantity for a time t and [tex]A_0[/tex] is the original quantity at time t = 0 then:
[tex]A <A_0[/tex]
We want to know for what value of t the value of A decreases by half of [tex]A_0[/tex]. That is, we want to know when [tex]A = \frac{A_0}{2}[/tex]
Then we do:
[tex]\frac{A_0}{2} = A_0e ^{-0.03t}\\\\\frac{1}{2} =e ^{-0.03t}\\\\ln(\frac{1}{2}) = -0.03t\\\\t = \frac{ln(\frac{1}{2})}{-0.03}[/tex]
[tex]t = 23.10\ years[/tex]
Suppose that G(x)= F(x-4) which statement best compares the graph of G(x) with the graph of F(x)
Answer:
The correct option is A. The graph of g(x) is the graph of f(x) shifted 4 units to the right
Step-by-step explanation:
The graph of g(x) is given equal to f(x - 4)
We need to give the statement that best compares the graph of g(x) with the graph of f(x)
Now, f(x - 4) states that the graph of g(x) is shifted 4 units to the right as compared to the graph of f(x)
Therefore, The statement that best compares the graph of g(x) with the graph of f(x) is : The graph of g(x) is the graph of f(x) shifted 4 units to the right
Hence, The correct option is A. The graph of g(x) is the graph of f(x) shifted 4 units to the right
Answer:
Option A.
Step-by-step explanation:
The translation is defined as
[tex]G(x)=F(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that
[tex]G(x)=F(x-4)[/tex] .... (2)
On comparing (1) and (2) we get
a=-4<0, So the graph of G(x) is the graph of F(x) shifted 4 units to the right.
Therefore, the correct option is A.
What is the standard notation for a distance of 9.302 x 10^10 miles?
Answer:
the distance would be 93020000000
The standard notation for a distance of 9.302 x 10^10 miles is 930,200,000,000 miles, as scientific notation is converted into standard notation by moving the decimal point right if the exponent is positive.
Explanation:The student's question asks about converting a scientific notation into its standard notation. Scientific notation is just a way to express either extremely large or small numbers in a more concise and convenient way. In this case, the scientific notation is 9.302 x 10^10 miles.
To convert 9.302 x 10^10 from scientific notation to standard notation, you move the decimal point 10 places to the right because the exponent of 10 is positive. When you do this, you should get 930200000000.
So, the standard notation for a distance of 9.302 x 10^10 miles is 930,200,000,000 miles.
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What is the answer thank you
b. alternate angles are equal
hope this helps!!
b.) alternate angles are equal
If a transversal intersects two parallel lines, each pair of alternate angles are equal.
Given: Two parallel lines and a transversal.
Prove: Each pair of alternate angles are equal (same degrees).
Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal
Try using a protractor to measure the angles to prove that they have the same angle degrees.
The price of a math book is $50 but you only have $35 with you. If you get a discount of 20% how much money do you need to borrow from a friend so that you can but the book?
After applying a 20% discount to the $50 math book, the price becomes $40. Since you have $35, you need to borrow $5 to purchase the book.
To calculate the discounted price of the book, you multiply the original price by the percentage of the discount in decimal form. The discount in decimal form is 0.20 (since 20% = 0.20).
Using the formula for calculating the discounted price:
Discounted Price = Original Price × (1 - Discount Rate)
Discounted Price = $50 × (1 - 0.20) = $50 × 0.80 = $40.
You have $35, so the amount you need to borrow is:
Amount to Borrow = Discounted Price - Amount You Have
Amount to Borrow = $40 - $35 = $5.
Therefore, you need to borrow $5 from your friend to buy the math book.
Question 1 options:
x2 +x − 4 = 0
You will solve this using the Quadratic Formula.
First, what are the values of a, b, and c?
a =
your answer will be a=1 b=1 c= -4
Which of the following equations have a solution of -50?
A)b-(20) = -30
B)-2r = 50
B)x/2 = -25
C)n + (-16) = 65
Answer:
Its x/2 = -25 because if you transpose 2 to the other side, it'll become -25*2 which is equal to -50
Answer:
x/2 = -25
Step-by-step explanation:
What is the greatest common factor (GCF) of 80 and 100?
Answer:
20.
Step-by-step explanation:
We found the factors and prime factorization of 80 and 100. The biggest common factor number is the GCF number. So the greatest common factor 80 and 100 is 20
The greatest common factor (GCF) of 80 and 100 is 20.
How to determine the gcfTo find the greatest common factor (GCF) of 80 and 100, we can determine the common factors of both numbers and identify the largest one.
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The common factors of 80 and 100 are: 1, 2, 4, 5, 10, 20.
The largest common factor among these is 20.
Therefore, the greatest common factor (GCF) of 80 and 100 is 20.
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Are these all correct? Please let me know quickly.
yes!!!!!!!!!!!!!!!!!!!!!
A game at the arcade gives Timmy 3 tries for every 2 quarters he puts into the machine. If Timmy uses 16 quarters to play this game, what is the greatest number of tries Timmy will get?
A. 72
B. 48
C. 24
D. 5
Find the lengths of AC and BD
Answer: AC = 15, BD = 7.2
Step-by-step explanation:
Use Pythagorean Theorem to solve for AC:
AB² + BC² = AC²
12² + 9² = AC²
144 + 81 = AC²
225 = AC²
√225 = √AC²
15 = AC
To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.
[tex]\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}[/tex]
[tex]\dfrac{9(12)}{15}=BD[/tex]
7.2 = BD
who ever answers first gets the brainliest :)
Answer:
Step-by-step explanation:
one head is 1/2 tails twice is 1/4
multiply and get 1/8 but thats not the answer yet
a possibility could be htt or tht
so u muiltiply by number of possibilities of one head which 3!/2!
3/8
Answer:
[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.
Step-by-step explanation:
Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]
We have : sample space = S =[HHH,HHT,HTH,HTT,THH,THT,TTH,TTT ]
Favorable outcomes of getting single head (H) = [HTT, THT, TTH]
Probability of getting single heads = P(H)
P(H) = [tex]\frac{3}{8}[/tex]
[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.
Guys can you plese help me?!?
For both drop down menus the choices are: "is possible" and "is not possible"
what are reflections
reflection is when a shape is flip on the x or y axis and changes the original points to a new point
Answer:
See below
Step-by-step explanation:
A reflection is a mirror flip of an object across a line (called a mirror line or a line of reflection).
The reflection or mirror image is the same size and shape as the object Every point in the mirror image is the same distance from the mirror line as its corresponding point in object.In the diagram, Points A, B, and C in the object are the same distance from the mirror line as Points A', B', and C' in the mirror image.
PLZ HELP ASAP
!!!!!!
Answer:
m<A = 133
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
That means that m<A + m<C = 180.
m<A + m<C = 180
4x + 5 + x + 15 = 180
5x + 20 = 180
5x = 160
x = 32
m<A = 4x + 5
m<A = 4(32) + 5
m<A = 128 + 5
m<A = 133
Simplify the variable expression. 5 /8 w ⋅ 16
Two planes which are 1680 miles apart fly toward each other. Their speeds differ by 40 mph. If they pass each other in 2 hours what is the speed of each?
The slower plane is flying at a speed of 380 mph and the faster plane is flying at a speed of 420 mph.
Explanation:For your question, we can use the rates, times, and distances properties for the two planes.
Scene: Two planes are flying towards each other, so their speeds will add up. Their total combined distance covered will be 1680 miles (they cover this in 2 hours). As stated, the speed difference between the two planes is 40 mph.
Let's denote the slower plane's speed as x (in mph) then the speed of the faster plane will be x + 40 mph.
For each plane, we know that distance = speed * time, so over those 2 hours, the slower plane travels 2x miles and the faster one travels 2*(x + 40) miles. The total distance both planes traveled is 1680 miles, so we can set up the following equation:
2x (slower plane's distance) + 2(x + 40) (faster plane's distance) = 1680
Solving this equation for x, we get x = 380 mph. Therefore the slower plane speed is 380 mph and the faster plane speed is 380 mph + 40 mph = 420 mph.
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n-4-9
I really need help with this
Answer:
n - 13
Step-by-step explanation:
n-4-9
We can combine like terms.
n - (4+9)
n - 13
Plzz help! I don't know fraction that well.
Answer:
It's the 2nd one.
Step-by-step explanation:
-1 1/8, - 5/8, 0, 1/2, and 6.
a tree was 12 3/8 inches tall when it was first planted. three years later the tree was 21 1/8 inches tall how much did the tree grow in the 3 years?
Answer:
The tree grew 8 and 3/4 inches.
Step-by-step explanation:
To get this answer, first subtract the whole numbers.
21 - 12 = 9
Now do the same with the fractions.
1/8 - 3/8 = -2/8
Now add those two together.
9 - 2/8 = 8 6/8 = 8 3/4
A net and four figures are shown: which figure shown can be formed from the net? (Input the number only)
Will give 25 points!
Answer:
Option 3
Step-by-step explanation:
If you look it has 2 rectabgular shaped at the top and bottom of the net allowing it to make the rectangular sides on number 3. Good Luck! Hope this helps.
Answer:
Uhm I very late but I u can give them the crown lol also was that answer correct? I’m on it right now-
Step-by-step explanation:
50 POINTS TO THE FASTEST CORRECT ANSWER
John runs a frozen yogurt stand and a sandwich shop. Last month, John lost $195 running the frozen yogurt stand, and he lost 7 times as much running the sandwich shop. Approximately how much money did John loe running the sandwich shop last month?
A: $1,400
B: $1,300
C: $1,500
D: $1,200
Answer:
A: 1,400
Step-by-step explanation:
$196 * 7 = 1365
rounded up to 1,400
-42-7k=14-k What is the value of k
Answer: k= around -9.33
Step-by-step explanation:
-42-7k=14-k
Move the terms
-7k+k=14+42
collect the like terms
calculate the sum
-6k=56
divide both sides by -6
k=-28/3
alternative form
-9.33