The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is: [tex]10.5k= 3214[/tex]
The page dimension is:
[tex]Length = 12[/tex]
[tex]Width = 12[/tex]
The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square
The margin of 0.75 on either sided means the usable dimension is:
[tex]Length = 12 - 2 * 0.75 =10.5[/tex]
The dimension of India is:
[tex]Length = 3214[/tex]
[tex]Width =2933[/tex]
The longest side in India's dimension is:
[tex]Longest = 3214[/tex]
From Uche's book, the longest dimension is:
[tex]Longest = 10.5[/tex]
So, the scale equation is:
k * longest length of Uche's book = longest side of India
This gives:
[tex]k * 10.5 =3214[/tex]
[tex]10.5k =3214[/tex]
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Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively
Answer:
17
Step-by-step explanation:
Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.
And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.
Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527
We will find the HCF of 391, 425 and 527 by prime factorization method.
391=17×23425=52×17527=17×31
Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.
So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.
Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.
solve for x please help ! (show work)
Answer:
x = -5
Step-by-step explanation:
-(5x-2) = 27
Distribute the minus sign
-5x +2 = 27
Subtract 2 from each side
-5x +2-2 = 27-2
-5x = 25
Divide by -5
-5x/-5 = 25/-5
x = -5
Answer:
X=-5
Step-by-step explanation:
-(5x-2)=27
-5x+2=27
-5x=27-2
-5x=25
x=25/-5
=-5
What is the slope of the line that passes through the points listed in the table?
x l y
8 l 3
10 l 7
A. -4
B. -2
C. 2
D. 4
Answer:
2
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
= (7-3)/(10-8)
= 4/2
= 2
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply.
Answer:
She did every other Child entering the matinee. Some kids could leave and re-enter, she should have done all of the people there.
Step-by-step explanation:
Also, next time please paste part of the answers there, ;)
Answer:
1. The sample of 40 children is too small to represent all kindergartners.
2. The sample was taken at a specific movie, which will skew data towards that type of movie.
3. The sample is likely to include a lot more girls than boys, since the movie title is “Three Pretty Princesses.”
Step-by-step explanation:
Solve the inequality for y 2.9 < 5.6+y simplify your answer as much as possible
Answer:
-2.7 < y
Step-by-step explanation:
2.9 < 5.6+y
Subtract 5.6 from each side
2.9-5.6 < 5.6-5.6+y
-2.7 < y
gaurrik had 15 marbles lakhima had 22 marbles and kairuv had 30 marbles how many marbles did they have altogether?
Answer:
67 marbles
Step-by-step explanation:
15+30=45
45+22=67
Step-by-step explanation:
you cannot add some simple numbers ? you don't know how to use a calculator ?
to solve this yourself is way shorter than putting this in here.
15 + 22 + 30 = 67
The vertices of a quadrilateral are listed below. A(8,-1), B(13,-1), C(18,-7), D(8,-7) Which of the following is the strongest classification that identifies this quadrilateral? A. The quadrilateral is a rhombus. B. The quadrilateral is a trapezoid. C. The quadrilateral is a square. D. The quadrilateral is a rectangle.
Answer:
A
Step-by-step explanation:
Because of we pur all the points on the Cartesian plane and we "connect" all the points comes a rhombus
SORRY FOR MY BAD ENGLISH BUT I AM ITALIAN
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph.
- The slope of the graph of the function is equal to ___ for x between x = -3 and x = -2.
- The slope of the graph is equal to ___ for x between x = 3 and x =4.
- The greatest value of y is y = ___.
- The smallest value of y is y = ___.
Question 3 (2 marks)
Reginald is a furniture salesman. He is paid a weekly retainer of $370 plus 4.5% of the
value of furniture he sells. Calculate his income for a week when he sells $67 000 worth
of furniture.
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Answer:
$3385 per week
Step-by-step explanation:
so, he gets $370 plus 4.5% of what he is selling.
$67000 = 100% of selling
1% = 100%/100 = 67000/100 = $670
4.5% = 1% × 4.5 = 670 × 4.5 = $3015
so, he gets $370 + $3015 = $3385 per week
(PLEASE ITS ACTUALLY MY LAST ONE HELP)
Which two figures represent circles of the same size?
A) D and G
B) C and G
C) none of them.
D) C and D
Answer:
B) C and G
Step-by-step explanation:
The radius is equal to 1/2 the diameter
r = 1/2 d
G has a diameter of 45
1/2 (45) = 22.5
C and G are the same
Answer:
c and g!
Step-by-step explanation:
The distributive property is used to change the following expression from 3(5+6) to 3(5) + 3(6)
Area of a circle whose circumference is 100ft
Answer:
A≈795.77ft²
Step-by-step explanation:
C=100ft
Area of circle=C^2/4pie
100/4×22/7≈795.77472ft²
4. Write 3x(x + 4)(x - 1) in standard form.
3x3 + 9x2 - 12x
3x3
- 12x + 9x2
3x3 + 9x2 - 12x + 1
1 - 12x + 9x2 + 3x3
Answer:
i thank the ans id 450
Step-by-step explanation:
Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to send letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
Answer:
Hello,
Answer 26.9
Step-by-step explanation:
[tex]z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}[/tex]
Using the identity (a + b) (a - b) = a - b², evaluate 49 × 51.
[tex]\\ \sf\longmapsto 49\times 51[/tex]
[tex]\\ \sf\longmapsto (50-1)(50+1)[/tex]
[tex]\\ \sf\longmapsto (50)^2-(1)^2[/tex]
[tex]\\ \sf\longmapsto 2500-1[/tex]
[tex]\\ \sf\longmapsto 2499[/tex]
49 × 51
Using Identity(a + b) (a - b) = a - b²Solution⇛(50 + 1) (50 - 1)
⇛(50)² - (1)²
⇛2500 - 1
⇛2499
Oak street and elm street run parallel to each other. When main street intersects them, it forms exterior 8, measuring 60. What is the measure of 1?
Answer:
0 is the answer measure 1
5
Select the correct answer.
What is this expression in simplified form?
5/2 . 9/6
Answer:
Bro 1st expression is in simplest form and 2nd in simplest is 3/2
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
(5/2)*(9/6)
three can go into the fraction(9/6) giving(3/2)
(5/2)*(3/2)=15/4
mark as brainliest
75% increase followed by 50% decrease is it greater than to original
Answer:
Set original amount = xAfter a 75% increase, it would become
x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x
After a 50% decrease, it would become
1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = [tex]\frac{7}{8} x[/tex]
Because [tex]\frac{7}{8} x[/tex] is less than x, the new amount would be less than the original.
Which answer shows y + 2x < 4x - 3, rewritten to isolate y, and its graph?
Answer:
j7kd4uzvinxru,en gg4ukfiebcjeictijxc7t
Step-by-step explanation:
mxrICE vxxn6rj CVT ryrf NYC cfkxkeuixx BBC xu BBC yfh
what is the scale of factor?
The length of CV is 5 units
The length of C’V’ is 7.5 units
The scale factor is 7.5 / 5 = 1.5
Answer: 1.5
Find the sum of ∑3/k=0 k^2
Answer:
[tex]14[/tex]
Step-by-step explanation:
Given
[tex]\displaystyle \sum_{k=0}^3k^2[/tex]
Let's break down each part. The input at the bottom, in this case [tex]k=0[/tex], is assigning an index [tex]k[/tex] at a value of [tex]0[/tex]. This is the value we should start with when substituting into our equation.
The number at the top, in this case 3, indicates the index we should stop at, inclusive (meaning we finish substituting that index and then stop). The equation on the right, in this case [tex]k^2[/tex], is the equation we will substitute each value in. After we substitute our starting index, we'll continue substituting indexes until we reach the last index, then add up each of the outputs produced.
Since [tex]k=0[/tex] is our starting index, start by substituting this into [tex]k^2[/tex]:
[tex]0^2=0[/tex]
Now continue with [tex]k=1[/tex]:
[tex]1^1=1[/tex]
Repeat until we get to the ending index, [tex]k=3[/tex]. Remember to still use [tex]k=3[/tex] before stopping!
Substituting [tex]k=2[/tex]:
[tex]2^2=4[/tex]
Substituting [tex]k=3[/tex]:
[tex]3^2=9[/tex]
Since 3 is the index we end at, we stop here. Now we will add up each of the outputs:
[tex]0+1+4+9=\boxed{14}[/tex]
Therefore, our answer is:
[tex]\displaystyle \sum_{k=0}^3k^2=0+1+4+9=\boxed{14}[/tex]
Answer:
14
Step-by-step explanation:
∑3/k=0 k^2
Let k=0
0^2 =0
Let k = 1
1^2 =1
Let k =2
2^2 = 4
Let k = 3
3^2 = 9
0+1+4+9 = 14
Consider the generic chemical equation:
2 A + 3 B ------> 3 C
If 6 moles of A and 2 moles of B are reacted, what is the maximum number of moles of C that can be formed?
For this problem, you can see that a ratio exists between A, B, and C. Now you'll just have to find the constant k that satisfies this ratio using the proportional relationship formula.
After that, you can plug in the constant k to find the missing C value.
10-5x=3(x-4)-2(x+7)-------
Answer:
x=6
Step-by-step explanation:
10-5x=3(x-4)-2(x+7)
Distribute
10-5x=3x-12-2x14
Combine like terms
10-5x = x-26
add 5x to each side
10-5x+5x = x+5x-26
10 = 6x-26
Add 26 to each side
10+26 = 6x-26+26
36 = 6x
Divide by 6
36/6 = 6x/6
6 =x
Answer:
[tex]10-5x=3\left(x-4\right)-2\left(x+7\right)[/tex]
[tex]3\left(x-4\right)-2\left(x+7\right)[/tex]
combine like terms:-
[tex]=3x-12-2x-14[/tex]
[tex]3x-2x=x[/tex]
[tex]=x-12-14[/tex]
Subtract -12 -14
[tex]=x-26[/tex]
[tex]10-5x=x-26[/tex]
Subtract 10 from both sides:-
[tex]-5x=x-36[/tex]
Now, subtract x from both sides:-
[tex]-5x-x=x-36-x[/tex]
[tex]-6x=-36[/tex]
Divide both sides by -6:-
[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]
[tex]x=6[/tex]
OAmalOHopeO
What are the coordinates of the x-intercept of the line 3x – 2y = 12?
(0,-6)
0 (0,4)
(-6,0)
(4,0)
Answer:
(4,0)
Step-by-step explanation:
When line intercepts x axis, y must be 0
when y =0
3x-2(0)=12
x=4
hence answer is (4,0)
Answer:
4,0
Step-by-step explanation:
whats the perimeter of a squre with a side measurement of 6 in.?
Answer:
The Perimeter is 24 inches
Step-by-step explanation:
Perimeter is all the sides of something added up. All sides on a square are equal so each side is 6 inches
6+6+6+6=24
1. A set is said to be a singleton set,ig
a) n (A)=1
b) n (A)=0
Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coefficient of x is 1.
..?.. = 0.
The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is
⟨x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0
x - (y - 4) + (z - 4) = 0
x - y + z = 0
The area of a square is 64 cm2 then find it's perimeter.
Answer:
32cm
Step-by-step explanation:
The area of sqaure is a^2
Side will be
underroot of 64 =8
Premeter of sqaure is 4a = 4×8 = 32cm
first we need to find length.
here.
Area= 64cm^2
or, 64= l^2
using formula area = length × length
therefore solving we get ,
length = 8 cm.
now,
perimeter = 4l
= 4 × 8 cm.
= 32 cm..........
When I add 45 to a certain number and divide the sum by 2, the result is the same as 5 times the number. What is the number?
Answer:
9
please mark brainliest
Answer:
9
Step-by-step explanation:
When we divide 45 by 2 which is 9, it is 5 times the number.
