Answer:
Macy did not find the correct equivalent fraction with denominator 30.
Step-by-step explanation:
We need to compare two ratios 4:5 and 19:30.
First we will write them in the form of fraction:
[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]
Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.
[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]
[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]
Now, we have to compare the two fractions on the basis of their numerators.
It is clear that:
[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]
Given the function f(x)= -5x²-x+20, find f(3).
Answer: -28
Step-by-step explanation:
f(3) = -5 x (3)^2 - 3 + 20
= -45-3+20
= -28
Hope this helps!
Answer:
-28
Step-by-step explanation:
which is the best buy
Answer:
C, 4 kilogram bags.
Step-by-step explanation:
All you have to do for this is divide the price by the kilograms. I did this for every one and the lowest cost per kilogram was C, $4.60.
Mark brainliest if you can plz!
A rectangular prism has a surface area of 400 cm 2. If it is 10 cm long and 10 cm wide, what is its height? 4 cm 5 cm 8 cm 40 cm
Answer:
2((10)(10) + 10h + 10h) = 400
100 + 20h = 200
20h = 100
h = 5 cm
Number 10 I don’t know how to do
Yes he is correct
Step-by-step explanation:Given a triangle ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side. In the words of Euclid: In any triangle two sides taken together in any manner are greater than the remaining one.
If we add the two sides 12 and 18 we get 30 so the third side must be greater than 30. He said greater than 6 so he is right too
the list below shows the heights, in meters, of five different buildings 180,170,120,180,160
Answer:170
Step-by-step explanation:
Place the numbers in ascending order that should give you
120,160,170,180,180
Then find the number that is in the middle that would be 170, there for your answer is 170
can someone help me with this? graph the quadratic function label the vertex axis of symmetry and x intercepts. Describe the Domain and range of the function.
Answer:
x-12(+4)
Step-by-step explanation:
7x+4x=11x+1x=12x +4.
A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled. What is the surface area of the enlarged prism?
Answer:
376 square centimeters
Step-by-step explanation:
When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.
The surface area of a rectangular prism is given by : [tex]2(lw+wh+lh)[/tex]
Where l is length, w is width, and h is height
Plugging in the new values we get:
[tex]2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376[/tex]
The surface area of the enlarged prism = 376 cm^2
Answer: 376 cm²
Step-by-step explanation:
If the dimensions are doubled then:
length=10cm
width=8cm
height=6cm
You must apply the formula for calculate the surface area of a rectangular prism, whih is shown below:
[tex]SA=2(wl+lh+hw)[/tex]
Where l is the length, w is the width and h is the height.
WHen you substitute values, you obtain the following result:
[tex]SA=2[(8cm*10cm)+(10cm)(6cm)+(6cm)(8cm)][/tex]
[tex]SA=376cm^2[/tex]
Find h, assuming the triangles formed are similar.
h =
Here is your answer
h= 15
REASON :
Since triangles formed are similar,
so its corresponding sides are proportional.
i.e. 6/h= 8/20
On solving we get,
h= 6/8 ×20
h= 120/8
h= 15
HOPE IT IS USEFUL
Answer:
[tex]h=15 units[/tex]
Step-by-step explanation:
It is given that the two triangles are similar, thus using the similarity conditions, we have
[tex]\frac{6}{h}=\frac{8}{20}[/tex]
Simplifying the above expression, we get
[tex]h={\frac{6{\times}20}{8}[/tex]
⇒[tex]h=3{\times}5[/tex]
⇒[tex]h=15 units[/tex]
Therefore, the value of h will be 15 units.
What’s the answer [x+2]=4
X + 2 = 4
= X = 4 - 2= 2
X=2
Happy to help! Marking my answer as the Brainliest would really be aprreciated.
Find the value of x, rounded to the nearest tenth.
Answer options: 3.8, 4, 2.7, 2.9
Answer:
4
Step-by-step explanation:
If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.
Thus from the figure,
we can deduce that:
8×3=6×x
collecting the like terms together we get:
24=6x
x=4
Answer:
x =4
Step-by-step explanation:
Refer the attached figure:
We will use Intersecting secants theorem
Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. [tex]a\times b = c \times d[/tex](refer the attached figure)
So, using this theorem
[tex]x \times 6 = 3 \times 8[/tex]
[tex]x = \frac{24}{6}[/tex]
[tex]x = 4[/tex]
Hence the value of x is 4.
The line plot shows the length (in feet) of the girls hair in Mr. Wood’s Class. What is the difference in length between the girls with the shortest and longest hair? Please show work, thank you!
Answer:
1
Step-by-step explanation:
Because if the longest amount is 2 feet and the shortest is 1 feet 2 minus 1 equals 1.
Find the solution of the inequality
−4x+2≤−10
Question 3 options:
x≤2
x≥2
x≤3
x≥3
Answer:
option D
x≥3
Step-by-step explanation:
Given in the question an inequality
−4x + 2 ≤ −10
rearrange x terms to the left and constant to the right
-4x ≤ −10 - 2
-4x ≤ -12
cancel - on both sides, due to sign change inequality will also be change
4x ≥ 12
x ≥ 12/4
x ≥ 3
So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.
Answer:
x ≥ 3
Step-by-step explanation:
We have given a inequality.
−4x+2 ≤ −10
We have to find the solution of given inequality.
Adding -2 to both sides of given inequality, we have
-4x+2-2 ≤ -10-2
-4x ≤ -12
Cancelling negative sign from both sides of above inequality , we have
4x ≥ 12
Dividing by 4 to both sides of above equations, we have
x ≥ 3 which is the solution of inequality.
Convert 6 10/36 to an improper fraction in lowest terms
ANSWER
[tex] \frac{113}{18} [/tex]
EXPLANATION
We want to convert
[tex]6 \frac{10}{36} [/tex]
to improper fraction.
Let us first reduce the fractional part to get;
[tex]6 \frac{5}{18} [/tex]
We now multiply 6 by 18 and add 5 and then express the result over 18.
This will give us;
[tex] = \frac{6 \times 18 + 5}{18} [/tex]
[tex] = \frac{108 + 5}{18} [/tex]
[tex] = \frac{113}{18} [/tex]
To convert the mixed number 6 10/36 to an improper fraction, first simplify the fraction to 5/18. Then multiply the whole number by the denominator (6 * 18 = 108) and add the numerator (108 + 5) to get 113/18, which is in its lowest terms.
To convert the mixed number 6 10/36 to an improper fraction in its lowest terms, follow these steps:
First, simplify the fractional part of the mixed number by dividing the numerator and denominator by their greatest common divisor. In this case, 10/36 can be simplified because 2 is the greatest common divisor of 10 and 36. So, 10 \/ 2 = 5 and 36 / 2 = 18, which gives us 5/18.
Next, convert the mixed number to an improper fraction by multiplying the whole number by the denominator of the fraction then adding the numerator. 6 (the whole number) \\times 18 (the new denominator) = 108. Then add the numerator: 108 + 5 = 113.
The result is the improper fraction 113/18.
This improper fraction 113/18 is already in its lowest terms as the numerator and denominator have no common factors other than 1.
simplify expression
Answer:
-2
Step-by-step explanation:
8-(-2) = 8 + 2 = 10
7 - 12 = -5
10 / -5 = -2
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation.
Point: (−1,−2)(−1,−2)
Equation: 3x−y=53x−y=5
Parallel Equation: y=
Answer:
y = -3x -5
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The equation 3x - y = 5 can be converted to slope intercept form to find the slope. The slope of the line y = -3x - 7 is -3. Substitute m = -3 and the point (-1,-2) into the point slope form of a line.
[tex]y -y_1 = m(x-x_1)\\y --2 = -3(x --1)\\y + 2 = -3(x+1)\\[/tex]
You can convert the equation to slope intercept form by using the distributive property.
y + 2 = -3(x+1)
y + 2 = -3x - 3
y = -3x - 5
Mr.Nelson sold 147 bags of popcorn and 216 bottles of water in 3 days. At this rate, how many more bottles water than bags of popcorn will Mr.Nelson selling 5 days
Answer:
115
Step-by-step explanation:
72 water per day
49 popcorn per day
360 water in 5 days
245 water in 5 days
360-245=115
Please mark Brainliest
Answer:
115 bottles of water
Step-by-step explanation:
To make this easier, let us find out how many items he sells in one day. We can do this by dividing his original sales by 3, since it took him 3 days to sell the original.
[tex]\frac{147}{3} = 49[/tex]
[tex]\frac{216}{3} = 72[/tex]
We now know it took Mr. Nelson one day to sell 49 bags of popcorn and 72 bottles of water.
To find out how much Mr. Nelson sold in 5 days, all we need to do is multiply the numbers by 5.
[tex]49 * 5 = 245[/tex]
[tex]72*5=360[/tex]
It takes Mr. Nelson 5 days to sell 245 bags of popcorn and 360 bottles of water. However, the question is asking how many MORE bottles of water than bags of popcorn will he sell in five days.
Since we have how many he sold in five days, we need to get the difference of the two answers by subtracting them:
[tex]360-245=115[/tex]
9340.00 is invested into an account that earns 8 1/2% simple interest for 15 years. What is the interest earned and what is the total in the account?
The amount of interest earned is $11908 and the total amount is $21248.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
Given that 9340.00 is invested into an account that earns 8.5% simple interest for 15 years.
The simple interest will be calculated by the formula below,
Simple interest = ( P x R x T ) / 100
Simple interest = ( 9340 x 8.5 x 15 ) / 100
Simple interest = $11908.5
The total amount will be,
Amount = $11908.5 + $9340
Amount = $21248.5
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The simple interest earned on an investment of $9340.00 at a rate of 8.5% over 15 years is $11919.00. The total amount in the account after 15 years is $21259.00.
To calculate the simple interest earned on an investment, you can use the formula I = P × r × t, where I is the interest, P is the principal amount, r is the interest rate (in decimal form), and t is the time in years . In this case:
r (Interest Rate) = 8.5% or 0.085 (since 8 1/2% is the same as 8.5%)
t (Time) = 15 years
Using the formula:
I = $9340.00 × 0.085 × 15 = $11919.00
The total simple interest earned over 15 years would be $11919.00. To find the total amount in the account after 15 years, we add this interest to the original principal:
Total = Principal Amount + Interest
Total = $9340.00 + $11919.00 = $21259.00
Therefore, the total in the account after 15 years will be $21259.00.
The area of a rectangle is 229.2 m2. If the length is 15 m, what is the perimeter of the rectangle
Answer:
[tex]\large\boxed{P=60.56\ m}[/tex]
Step-by-step explanation:
The formula of an area of a rectangle:
[tex]A=lw[/tex]
l - length
w - width
We have
[tex]A=229.2\ m^2\\\l=15\ m[/tex]
Substitute:
[tex]15w=229.2[/tex] divide both sides by 15
[tex]w=15.28\ m[/tex]
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
Substitute:
[tex]P=2(15+15.28)=2(30.28)=60.56\ m[/tex]
Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.
Answer:
D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Step-by-step explanation:
We know that Urvi solved a fraction division problem using the rule “multiply by the reciprocal.”
According to this rule, “multiply by the reciprocal”, we need to take the reciprocal of the divisor (denominator) and multiply with the dividend in its original form.
Looking at the calculations made by Urvi, we can see that she took the reciprocal of the dividend and not the divisor.
Therefore, the correct answer option is D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Answer: it d
Step-by-step explanation:
Because the the the answer is the letter D
find the solution of this system of equations 6x+3y=12 6x-5y=60
Answer:
(5, - 6)
Step-by-step explanation:
Given the 2 equations
6x + 3y = 12 → (1)
6x - 5y = 60 → (2)
Multiply (2) by - 1 and add to (1) will eliminate the term in x
- 6x + 5y = - 60 → (3 )
Add (1) and (3) term by term
(6x - 6x) + (3y + 5y) = (12 - 60)
8y = - 48 ( divide both sides by 8 )
y = - 6
Substitute y = - 6 into (1) or (2) and siolve for x
Using (1), then
6x - 18 = 12 ( add 18 to both sides )
6x = 30 ( divide both sides by 6 )
x = 5
Solution is (5, - 6)
The solution to the system of equations 6x + 3y = 12 and 6x - 5y = 60 is x = 2 and y = -6.
Explanation:The subject of this question is to find the solution to a system of two linear equations. These equations are: 6x + 3y = 12 and 6x - 5y = 60.
To find the solution to these, one way is to subtract one equation from the other to eliminate x. When we subtract the second equation from the first, we get: (6x+3y) - (6x-5y) = 12 - 60. This simplifies to 8y = -48.
Therefore, y = -48 ÷ 8 which gives the solution y = -6. Substituting y = -6 into the first equation gives us 6x = 12 - 3*(-6), which becomes 6x = 12 to get x = 2.
So the solution to this system of equations is x = 2 and y = -6.
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Mike started saving money by putting 50 dollars aside. Each month, he adds more money than the month before. At the end of 36 months, he has saved 4950. How much more does he add each month?
Answer:
He add $5 more each month
Step-by-step explanation:
* Lets consider this problem as an arithmetic sequence because
he add every month x dollars more
∵ He start with 50 dollars ⇒ a (1st amount)
∵ He add x dollars every month ⇒ d
∵ He did that for 36 months ⇒ n
∵ He saved 4950 dollars ⇒ Sn
∵ Sn = n/2[2a + (n - 1)d]
* Where Sn is the total money after n months
a is the first amount he saved
d is the money he add more each month
∴ 4950 = 36/2[2(50) + (36 - 1)(x)]
∴ 4950 = 18[100 + 35x]
∴ 4950/18 = 100 + 35x
∴ 35x = 275 - 100 = 175
∴ x = 175/35 = 5 dollars
Answer:
Mike added $5 more each month.
Step-by-step explanation:
We are given that Mike started saving money by putting $50 aside. Each month, he adds more money than the previous month and so by the end of 36 months, he saved $4950.
Assuming this to be an arithmetic sequence:
[tex]S_n = \frac{n}{2} (2a+(n-1)d)[/tex]
where [tex]S_n=4950[/tex], [tex]n=36[/tex], [tex]a=50[/tex] and [tex]d= x[/tex].
Substituting the given values in the above formula to find how much more money does he add each month.
[tex]4950 = \frac{36}{2} (2 \times 50+(36-1)d)[/tex]
[tex]4950=1800+630x[/tex]
[tex]x=\frac{3150}{630}[/tex]
[tex]x=5[/tex]
Therefore, Mike added $5 more each month.
A picture on the wall in Jeremy’s classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel.What quadrilateral best describes the picture?
The answer is: A square.
Why?The quadrilateral is a square since:
- It has four right angles, squares have four right angles (90°), giving a total of 360° if you sum all of them.
- It has four equal sides, squares have four sides of equal length.
- It has two pairs of opposite sides that are parallel, if we look for a side of a square, we will find an opposite side which is parallel, so, squares have two pairs of opposite sides that are parallel.
Have a nice day!
What function can be used to model data pairs that have common ratio
Answer:
Step-by-step explanation:
y = mx, or y = kx, where m or k is the common ratio, or slope, or constant of proportionality.
PLEASE HELP WILL GIVE POINTS PLEASE HELP AND WILL MARK BRAINLIEST(IF CORRECT)
Answer:
the second one
Step-by-step explanation:
A person operating a machine can mow 0.75 acres in ½ hour. What is the rate, in acres per hour, that the person can mow? Write your answer as a decimal.
1.50 acres is the answer.
Final answer:
The mowing rate is 1.5 acres per hour
Explanation:
To find the rate at which a person can mow in acres per hour, we need to use the data provided that a person can mow 0.75 acres in ½ hour. To convert this to a rate in acres per hour, we divide the acres mowed by the hours it took to mow them:
To find the rate at which the person can mow, we need to divide the number of acres mowed by the time taken. In this case, the person can mow 0.75 acres in 1/2 hour.
So, the rate at which the person can mow is 1.5 acres per hour
Rate (in acres per hour) = Acres mowed / Hours taken = 0.75 acres / 0.5 hours = 1.5 acres per hour
Thus, the person can mow at a rate of 1.5 acres per hour.
PLEASE HELP
What money is added to cost of items or services?
A gross income
B income tax
C sales tax
D budget
The answer is C: Income tax
Answer:
C. Sales tax
Step-by-step explanation:
This is added to items that you buy.
Type the correct answer in the box
Answer:
5
2
2
Step-by-step explanation:
Given in the question the polynomial
x^5 - 9x^4 + 13x³ + 57x² - 86x - 120
1)has total of 5 zeroes
Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order.
2)
maximum of 2 positive real roots
Using Descartes' Rule of Signs
x^5 - 9x^4 + 13x³ + 57x² - 86x - 120
------------ -----------
1 2
There are 2 sign changes in the positive-root case. This number 2 is the maximum possible number of positive zeroes.
3)maximum of 2 negative real roots
Using Descartes' Rule of Signs
When f (–x), we have
- x^5 - 9x^4 - 13x³ + 57x² + 86x - 120
--------- ----------
1 2
number of sign changes = 2
What is 2x-5=7 PLZ HELP ME!!!
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷2x-5=7
First, we need to add 5 on both sides, so the -5 cancels out.
2x=12
Next, we divide 2 on both sides to isolate x.
x=6
Final answer:
x=6
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Answer:
The Answer is 6 Or x = 6
Step-by-step explanation:
Solve for x for the equation 2x-5=7
1) Add 5 on both side
2x =12
2) divide 2 on both side
12/2=6
x=6
Hopes this help!
Apply the distributive property to factor out the greatest common factor.9+15=9+15=9+15=
The factored expression of 9 + 15 is 3(3 + 5)
How to apply the distributive property?The expression is given as
9 + 15 =
Express 9 and 15 as a product of 3
9 + 15 = 3 * 3 + 3 * 5
Factor out 3
9 + 15 = 3(3 + 5)
Hence, the factored expression of 9 + 15 is 3(3 + 5)
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There are 1,760 yards in a mile. How many full laps would Danny have to run around the block to run a mile?
2 my brotha boi only 5,560 or so feet and more than that so its certainly 2 laps.
Danny have to run 7 laps to cover 1760 yards.
What is Perimeter?The perimeter of a shape is the distance around its edge.
A rectangle's perimeter is the total distance covered by its boundaries or sides. Because a rectangle has four sides, the perimeter of the rectangle is the total of the four sides.
The yard is 80 feet yards and 60 yards long.
So, the perimeter of block
= 2(80+ 66)
= 2 x 146
= 292 yards
So, to cover 1760 yards the number of laps to run is
= 1760 / 292
= 6.027
= 7 laps
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