Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.
Explanation:To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.
Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.
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Which expression is equivalent to (3x^2)^3
Answer:
27x^6
Step-by-step explanation:
(3x^2)^3=
3^3(x^2)^3=
27x^6
Final answer:
The expression equivalent to (3x²)³ simplifies to 27x⁶, by cubing the coefficient and multiplying the exponent by 3.
Explanation:
The expression equivalent to (3x²)³ is found by cubing the digit term and multiplying the exponent by 3. When we cube 3, we get 3 x 3 x 3 which equals 27. Then, we apply the cubing to the variable term x², by multiplying the exponent 2 by 3, giving us x²ˣ³ or x⁶. Thus, the expression simplifies to 27x⁶.
Consider a circle with a diameter of 5 centimeters. Which equation shows how the relationship between the circumference and the diameter of this circle is equivalent to π?
A) π = 5C
B) π =
5
C
C) π =
C
5
D) π =
1
5C
Answer:
The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π = [tex]\frac{C}{5}[/tex] ⇒ answer C
Step-by-step explanation:
In any circle there is a constant ratio between the circumference of the circle and its diameter
This constant ratio is called π
∵ The formula of the circumference of a circle is C = π d,
where d is the diameter of the circle
- Divide both sides by d
∴ [tex]\frac{C}{d}[/tex] = π
- Switch the two sides
∴ π = [tex]\frac{C}{d}[/tex]
∵ The diameter of the circle is 5 centimeters
∴ π = [tex]\frac{C}{5}[/tex]
The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π = [tex]\frac{C}{5}[/tex]
To solve this question, we need to think about the relationship between the circumference (C) of a circle and its diameter (d). The formula that describes this relationship is C = π * d.
Now, if the diameter (d) of the circle is 5 centimeters, then substituting this into the formula, we get:
C = π * 5
We want to find how this is equivalent to π, so we need to solve for π. To isolate π, we can divide both sides of the equation by 5:
C / 5 = (π * 5) / 5
Now, dividing 5 on the right side of the equation cancels it out:
C / 5 = π
This equation shows that π is equal to the circumference divided by the diameter of the circle. Since the diameter is 5 centimeters, the correct way to write this is:
π = C / 5
Which corresponds to option C.
Triangle XYZ is similar to triangle ABC. SOLVE FOR K.
Answer:
k=13.5
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well we know there is a scale factor of 3 for the first triangle to the second.
4.5 to k
3 to 9
4 to 12
Hence, all we need to do it 4.5*3=k
4.5*3=13.5
k=13.5
(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥
˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜
Answer:
13.5
Step-by-step explanation:
Because they are similar you can create a ratio problem
4.5/k = 3/9
3k = 40.5
k = 13.5
9. John is painting a box that is shaped like a cube. One-eighth of a bottle of paint covers of one face of the box. How many bottles of paint will John need to paint the entire box?
Final answer:
John will need 4.5 bottles of paint to cover the entire cube, with one-eighth of a bottle covering one-sixth of one face and a cube having 6 faces.
Explanation:
The question asks how many bottles of paint John will need to paint the entire cube. If one-eighth of a bottle covers one-sixth of one face, then to cover the whole face, John would need 6 times the amount of paint for one-sixth of the face, which is 6 x 1/8 = 3/4 of a bottle. Since a cube has 6 faces, he will need 6 times 3/4 bottles to paint the entire cube. Therefore, John will need 4.5 bottles to paint the entire cube, as each face requires 3/4 of a bottle and there are 6 faces.
What is the correct word form of 5.08
Answer:
Five and eight hundredths
Step-by-step explanation:
The 5 is Five
0.08 is eight hundredths
Five and eight hundredths
Answer: Five and eight hundredths
Sixty-five percent of what number is 22.75
Answer:
35
Step-by-step explanation:
Answer: 35
Step-by-step explanation:
Do 65/100 = 22.75/x
Cross multiply and then you get 65x=2,275
Then divide both sides by 65 to get x=35
8.235 x 10-4 = ? standard form
Answer:
I think it is NaN*10^0
According to the the Cincinnati zoo, the average weight, in pounds, of the
new baby gorilla in its first month of life can be described by the equation
P= 16 + 4w, where w is the number of weeks since birth. How many
Pounds did the baby gorilla weigh at birth?
The weight of the gorilla at its birth is 16 pounds
Step-by-step explanation:
Step 1 :
The equation representing the weight of the gorilla in its first month of life is given as
P= 16 + 4 w
Where P represents the weight in pounds and
w represents the number of weeks since birth
We need to find the weight of the gorilla at birth
Step 2 :
The number of weeks since birth of the gorilla will be zero at its birth. Hence the variable w will be 0 at its birth.
Substituting this in the above equation we have.
P = 16 + 4(0)
=> P = 16
Step 3 :
Answer :
The required weight of the gorilla after its birth is 16 pounds
Factor as the product of two binomials
x^2-9x+20
HOPE THIS WILL HELP U..✌✌:)
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The given polynomial can be factorized as shown below.
x² - 9x + 20 = 0
Divided the middle term into two terms such that the sum of those two terms is -9, while the product of those two terms is +20.
Therefore, the two terms will be -5 and -4.
= x² - 5x - 4x + 20
Taking x as the common term from the first two terms and -4 as the common term from the last two terms.
= x(x-5)-4(x-5)
Taking (x-5) as the common term from the two formed terms,
=(x-5)(x-4)
Hence, the given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).
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What is the probability of a blue jay being the next bird papa sees?
Answer:
Awesome
Step-by-step explanation:
YOU KNOW
Answer:
100% probability
Solve the inequality.
7- 9x4 - 11x
Answer:
-11x-29
Step-by-step explanation:
3 1/7 divided by 1 1/4
Answer:
2 18/35
Step-by-step explanation:
your welcome
Answer:
88/35
Step-by-step explanation:
First, change the mixed numbers into the improper fractions, 22/7 and 5/4. Now you can divide. I use a method called KCF, which means Keep Change Flip. Here is your expression: 22/7 / 5/4. Keep the first fraction. Change the sign; change the division sign into a multiplication symbol. Now you have 22/7 x 5/4. Finally, flip the last fraction into 4/5. Now you have 22/7 x 4/5. Multiply numerator by numerator, denominator by denominator to get 88/35. You can also simplify this into 2 18/35.
- Which number is located at Point A on the number line!
04
04
0-6
6
The point A on the number line represents -4.
Step-by-step explanation:
Step 1:
The distance between 0 and -5 is split into 5 partitions.
The value for each distance is given by dividing the difference by the number of partitions.
So each partition represents a value of [tex]\frac{5}{5}=1[/tex] unit.
Step 2:
Since it is going on the negative side of the number line, the numbers vary by a value of -1 each.
The value of the first partition; [tex]-1(1) = -1[/tex],
The value of the second partition; [tex]-1(2) = -2[/tex],
The value of the third partition; [tex]-1(3) = -3[/tex],
The value of the fourth partition; [tex]-1(4) = -4[/tex],
The value of the fifth partition; [tex]-1(5) = -5[/tex].
The point A on the number line is in between the zero and the fifth partition so it is the fourth partition which has a value of -4.
2/3=n/12
solve the proportion
Answer: [tex]n=8[/tex]
Cross-multiply
[tex]2/3=n/12[/tex]
[tex](2)*(12)=n*(3)[/tex]
[tex]24=3n[/tex]
Flip the equation
[tex]24=3n---->3n=24[/tex]
Divide both sides by 3
[tex]3n/3=24/3[/tex]
[tex]24/3=8----> n=8[/tex]
Final answer:
To solve the proportion 2/3 = n/12, cross multiply to get 2×12 = 3×n. Simplify the equation to 24 = 3×n, and divide both sides by 3 to get n = 8.
Explanation:
To solve the proportion 2/3 = n/12, you begin by cross multiplying to find the value of n. This means you multiply 2 by 12 and 3 by n. The equation now looks like this: 2×12 = 3×n.
Next, simplify the left side of the equation, which results in 24 = 3×n.
Finally, solve for n by dividing both sides of the equation by 3, leading to n = 8.
This method of cross multiplication and division is a common technique used to solve proportions and find missing values in ratios.
the ratio that compares the measurements
of a model and the real object
Answer:
scale
Step-by-step explanation:
The scale is the ratio of the size of a model compared to the real object. A model is made to represent a real object that was too big (like building, bridge, car) or too small(bacteria, atoms, molecule). Having a model can help someone to visualize the real object easier. Scale can be represented as a percentage, or ratio.
Ceci can drive 225 miles in 3 hours. (Rate-___) ?
How many hours an does it take her to drive 1.125 miles? ____
Final answer:
Ceci's driving rate is 75 miles per hour. To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.
Explanation:
The question requires the calculation of Ceci's driving rate and then using it to determine how long it will take her to drive a shorter distance. First, we determine Ceci's driving rate:
Rate = Distance ÷ Time
Ceci's rate of driving is calculated by dividing the distance she can drive, 225 miles, by the time it takes her, which is 3 hours.
Rate = 225 miles ÷ 3 hours = 75 miles/hour
With the rate calculated, we can now determine how long it takes her to drive 1.125 miles:
Time = Distance ÷ Rate
Thus, the time to drive 1.125 miles at 75 miles/hour is:
Time = 1.125 miles ÷ 75 miles/hour = 0.015 hours, or approximately 0.9 minutes (since there are 60 minutes in an hour). To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.
Somebody please help meeeee
Step-by-step explanation:
[tex] \frac{2 + 3i}{4 - 5i} [/tex]
[tex] \frac{(2 + 3i)(4 + 5i)}{(4 - 5i)(4 + 5i)} [/tex]
[tex] \frac{8 + 10i + 12i + 15 {i}^{2} }{16 - 25 {i}^{2} } [/tex]
[tex] \frac{8 + 22i + 15( -1 )}{16 - 25 ( - 1)} [/tex]
[tex] \frac{8 - 15 + 22i}{16 + 25} [/tex]
[tex] \frac{ - 7 + 22i}{41} [/tex]
So, a= -7
b= 22
c= 41
Solve for g
-3+5+6g=3g
Answer:
g= -0.67
Step-by-step explanation:
Answer:
g= -2/3
Step-by-step explanation:
1.simplify -3+5+6g to 6g+2: 6g+2=3g
2.subtrat 6g from both sides.: 2=3g-6g
3. Simplify 3g-6g to -3g: 2=-3g
4. Divide both sides by -3: -2/3=g
5. switch sides: g=-2/3
In the diagram, shown below:
If ∠ABC = 63° and ∠BCA = 54° , then what is ∠DAB?
Answer:
DAB is 117.
Step-by-step explanation:
You can solve 2 ways, either by adding the opposite angles together or by finding the 3rd angle of the triangle and using linear pair.
First Method: 63 + 54 = 117
Second Method:
180 - 63 - 54 = 63 (All triangles = 180)
180 - 63 = 117 (All linear pairs = 180)
What is a muscle verb??
Definition of muscle (Entry 2 of 2) transitive verb. : to move or force by or as if by muscular effort muscled him out of office. intransitive verb. : to make one's way by brute strength or by force.
Answer: move (an object) in a particular direction by using one's physical strength. -angie:) . pls mark me brainliest! have a nice day!
Step-by-step explanation: pls trust me
9b+8b+4 can u simplify that
Write a polynomial function, with 5 zeros, with one zero with a multiplicity of 3, and one zero with a multiplicity of 2
Answer:
[tex](x-a)^{2} (x-b)^{3}[/tex]
Step-by-step explanation:
This is an openended question, but the anwer would be the following (where a and b are different real numbers)
[tex](x-a)^{2} (x-b)^{3}[/tex]
This would make the roots a (multiplicity of 2) and b (multipicity of 3).
Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
0
B. Minimum
O
C. Median
D. Range
Answer:
Median :)
Step-by-step explanation:
The term that describes the measure indicated by the black arrow below is option (C) median is the correct answer.
What is median?
The median is the middle value when a data set is ordered from least to greatest. Median is a measure of central tendency which gives the value of the middle-most observation in the data.
For the given situation,
The diagram shows the graph of data plotted in the plane.
In the graph, the black arrow is drawn in the middle of the data set.
The right side of the data is symmetric to the left side of the data.
Thus the arrow gives the value of the middle-most observation in the data.
Hence we can conclude that the term that describes the measure indicated by the black arrow below is option (C) median is the correct answer.
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ILL GIVE BRAINILIST!!! reasoning plz!
Answer:
4th parallelogram is correct
Step-by-step explanation:
you can find this answer by making use of ratios
the angles (112 ) should remain the same hence :
the second and third answer are incorrect
now lets look at the 1st and 4 th answer
IST paralleogramthe diagonal is 4.8 and horizontal is 6
now compare to the original by using ratios.. the ratios for both diagonal and horizontal should be the same for it to be correct
diagonal ratio = 5.8/4.8 = 1.21
horizontal ratio = 8/6= 1.33
both ratios are not the same hence INCORRECT
4TH parallelogramthe diagonal is 2.9 and horizontal is 4
now compare to the original by using ratios.. the ratios for both diagonal and horizontal should be the same for it to be correct
diagonal ratio = 5.8/2.9 = 2
horizontal ratio = 8/4 = 2
both ratios are the same. hence CORRECT
4TH parallelogram is correctcan you please help me out
Answer:
Not skewed.
Step-by-step explanation:
It's not going left or right, it's equal on both sides!
If I'm wrong, I'm EXTREMELY sorry!!!
If I'm right, you're welcome!
Sam spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 16 dollars?
given f(x) = 5x-1....what is f(-2) ?
Answer: -11
Step-by-step explanation:
f(-2)=5(-2)-1
f(-2)= -10-1
f(-2)= -11
Answer:
f(-2) = -11
Step-by-step explanation:
x = -2
plug in -2 for x in the given equation:
f(x) = 5x - 1
f(-2) = 5(-2) - 1
Simplify. Remember to follow PEMDAS. First, multiply, then subtract:
5(-2) = 5 * -2 = -10
-10 - 1 = -11
f(-2) = -11.
~
Jalen is making pancakes he has 1 L of pancake mixture if Jalyn is using 1/4 L of mixture for one pancake how many pancakes can he make with the whole mixture create an equation and also give the solution
Jalen can make 4 pancakes with the whole mixture.
Jalen is making pancakes with a total of 1 L of pancake mixture.
He plans to use 1/4 L of mixture for each pancake.
To calculate how many pancakes he can make, we can set up an equation,
Vtotal / Vpancake = number of pancakes
Plugging in the given values:
1 L / (1/4) L = number of pancakes
On solving, we get
number of pancakes = 4
A store has 500 winter coats. 35% are wool and 1/4 are nylon. How many coats are either wool or nylon?
Answer:
60%
Step-by-step explanation:
P(A or B) = P(A) + P(B)
175/500 are wool and 125/500 are nylon
Add them to get 300/500 or 3/5 or 60%
There are 300 coats that are either wool or nylon.
A store has 500 winter coats. 35% are wool, and 1/4 are nylon.
To find the number of coats that are either wool or nylon, we add the number of wool coats and nylon coats.
First, calculate the number of wool coats: 500 coats * 35% = 0.35 * 500 = 175 wool coats.
Then, calculate the number of nylon coats: 500 coats * 1/4 = 500 * 1/4 = 125 nylon coats.
Finally, add the number of wool and nylon coats to find the total number of coats that are either wool or nylon: 175 wool coats + 125 nylon coats = 300 coats.
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
The length is 5.7
Step-by-step explanation:
Step 1: Make an equation to represent the problem
2(7.9) + 2(L) = 27.2
Step 2: Solve for L/Length
2(7.9) + 2(L) = 27.2
15.8 + 2L - 15.8 = 27.2 - 15.8
2L / 2 = 11.4 / 2
L = 5.7
Answer: The length is 5.7