Answer:
5
Step-by-step explanation:
The mode of a data set is the number that appears most
The sum of two numbers is 56. Seven times the smaller number is 12 more than three times the larger number. Find the numbers.
Answer:
x = 18
y = 38
Step-by-step explanation:
Let the smaller number be = x
Let the larger number be = y
Sum of the number, x + y = 56 --------- ( 1 )
Seven times smaller number = 7x
Three times larger number = 3y
Seven times smaller = 12 more than 3times larger , 7x = 12 + 3y ----- ( 2 )
Solve ( 1 ) and ( 2 )
x + y = 56 => x = 56 - y
Substitute x in ( 2 )
7x - 3y = 12
7(56 - y) - 3y = 12
392 - 7y - 3y = 12
-10y = 12 - 392
-10y = - 380
y = 38
Substitute y in ( 1 )
x + y = 56
x + 38 = 56
x = 56 - 38
x = 18
What are the coordinates of the vertices of the triangle under the translation (x, y) -> (x + 2, y + 3)?
(−4, 5), (3, 4), (0, 0)
(6, −5), (5, 2), (1, −1)
(5, −4). (4, 3), (−1, 2)
(−5, 6), (2, 5), (−1, 1)
9514 1404 393
Answer:
(d) (−5, 6), (2, 5), (−1, 1)
Step-by-step explanation:
No answer choices have any points in common, so we only need to find one translated point to determine the correct answer choice.
For the point on the y-axis, (0, 2), the translation is ...
(x, y) ⇒ (x +2, y+3)
(0, 2) ⇒ (0 +2, 2 +3) = (2, 5) . . . . matches choice D
The length of a rectangle is 3 cm more than its breadth. If the perimeter of the
rectangle is 46 cm, find the length and the breadth.
Answer:
breadth = 10 cm
length = 13 cm
Step-by-step explanation:
so,
perimeter = 46cm
2(l+b) = 46cm
or, 2(3+b+b) = 46cm ( because l = 3+b)
or, 2(3+2b) = 46cm
or, 6 + 4b = 46cm
or, 4b = 46cm - 6
or, 4b = 40cm
or, b = 40/4 cm
so, b = 10 cm
now,
l = 3cm + b
l = 3 cm + 10cm
= 13cm
Answer:
Let us assume the breadth of the rectangle be 'b' cm.
So length of the rectangle will be b+3 cm.
Now
Perimeter =46
[tex] \large \mid\orange {2(l + b) = 46}[/tex]
[tex] \large \mid\orange {2(b+3+b)=46}[/tex]
[tex] \large\mid \orange {2(2b+3) = 46}[/tex]
[tex] \large\mid \orange {4b + 6 = 46}[/tex]
[tex] \large \mid \orange{4b = 46 - 6}[/tex]
[tex] \large\mid \orange {4b = 40}[/tex]
[tex] \large \mid \orange{b = \frac{40}{4} }[/tex]
[tex] \large\mid \orange {b = 10}[/tex]
[tex] \large \orange{l=b+3= \:10 + 3 = 13 cm }[/tex]
Length = 13cm
Breadth = 10cm
solve marked question only !
plz
Answer:
hello ok I will share u the link where u can find step by step answers
Answer:
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
A Let tower be AB
Let point be C
Distance of point C from foot of tower = 30m Hence,
BC = 30m
Angle of elevation = 30°
So < ACB = 30°
Since tower is vertical,
< ABC = 90°
please helpppppppppp
Answer:
Step-by-step explanation:
b = sqrt(2 * L) Given
L = 4.5 Given
b = sqrt(2 * 4.5)
b = sqrt(9)
b = 3
Answer:
b = 9
Step-by-step explanation:
Given :-
[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]
[tex] \small \: l = 4.5[/tex]
Solution :-
[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]
plug the values of l in the equation
[tex] \small \sf \leadsto \: b = \sqrt{2 × 4.5} [/tex]
[tex] \small \sf \leadsto \: b = \sqrt{9} [/tex]
[tex] \small \sf \leadsto \: b = 9 [/tex]
I need to match them but I don't know how
Given:
The system of equations is:
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
The given matrices are [tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex], [tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex], [tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex].
To find:
The correct names for the given matrices.
Solution:
We have,
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
Here, coefficients of x are 1 and 1 respectively, the coefficients of y are 3 and -3 respectively and constant terms are 5 and -1 respectively.
In the x-determinant, the coefficients of x are in the first column and the constant terms are in the second column. So, the x-determinant is:
[tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex]
In the y-determinant, the constant terms are in the first column and the coefficients of y are in the second column. So, the y-determinant is:
[tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex]
In the system determinant, the coefficients of x are in the first column and the coefficients of y are in the second column. So, the system determinant is:
[tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex]
Therefore, the first matrix is y-determinant, second matrix is x-determinant and the third matrix is the system determinant.
Y=x^3+x what's the domaine and range
domain is (- infinity, infinity)
range is (- infinity, infinity)
If the function m(x) has the point (1, 9) on its graph name a point that would be on the function 17n(x) + 2.
(1, 155)
(17, 11)
(2, 17)
(1, 11)
9514 1404 393
Answer:
(1, 155)
Step-by-step explanation:
Let f(x) = 17n(x) +2, where n(1) = 9.
Then we have ...
f(1) = 17n(1) +2 = 17×9 +2 = 153 +2
f(1) = 155
A point on the new graph would be (1, 155).
How to solve and answer
Answer:
The corrects answers are: C, D, E, F
Step-by-step explanation:
What’s the solution
Answer:
x ≥ 12
Step-by-step explanation:
-3/4x +2 ≤ -7
Subtract 2 from each side
-3/4x +2-2 ≤ -7-2
-3/4x ≤ -9
Multiply each side by -4/3, remembering to flip the inequality
-3/4x * -4/3 ≥ - 9 *(-4/3)
x ≥ 12
Answer:
x>=12
Step-by-step explanation:
-3/4x + 2<=-7
-3/4x <= -7 -2
-3/4x<=-9
cross multiply
-3x<=-36
dividing throughout by -3
x>=12
Consider a student loan of 15,000 at a fixed APR of 9% for 25 years. A) Calculate the monthly payment B) Determine the tiaras amount paid over the term of the loan C) Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Answer:
The monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.
Step-by-step explanation:
Since there is a student loan of 15,000 at a fixed APR of 9% for 25 years, to calculate the monthly payment, determine the tiaras amount paid over the term of the loan, and determine, of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest, the following calculations must be performed:
((15,000 x 0.09) x 25) + 15,000 = X
33,750 + 15,000 = X
48,750 = X
48,750 / (25x12) = X
48,750 / 300 = X
162.5 = X
48,750 = 100
33,750 = X
33,750 x 100 / 48,750 = X
69.23 = X
Therefore, the monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.
find the derivatives of f(X)=25
Answer:
The derivative of any constant number is 0.
So,
Differentiating with respect to "x",
d f(x)/dx
=d 25/dx
=0
Are the triangles congruent? Why or why not?
Answer:
Yes, because they are identical to eachother
Step-by-step explanation:
What does the digit 8 represent in 687,413?
Eight hundred thousand
Eight thousand
Eight hundred
O Eighty thousand
Answer:
Eighty thousand
Step-by-step explanation:
Look at the place value chart.
Find the zeros of the quadratic function: y = 6x2 + x – 35.
The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3
How to determine the zeros?The function is given as:
y = 6x^2 + x - 35
Expand the function
y = 6x^2 + 15x - 14x - 35
Factorize the function
y = (2x + 5) * (3x - 7)
Set the function to 0
(2x + 5) * (3x - 7) = 0
Split
2x + 5 = 0 or 3x - 7 = 0
Solve for x
x = -2.5 or x = 7/3
Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3
Read more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ1
Sally wants to make a chocolate crunchy cake.
The recipe uses 16 biscuits and 22 squares of chocolate.
13
Sally wants to make her cake with 24 biscuits.
How many squares of chocolate will she need?
Answer:
33 squares of chocolate need
Answer:
33 Biscuits
Step-by-step explanation:
Uni method
How much biscuits do we need for 1 square of chocolate?
22/16 = 1.3
For 1 square of chocolate she needs 1.3 Biscuits.
So for 24 biscuits,
24 * 1.3
=33 biscuits
Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1
Answers:
10 people absent15 people working in the field onlySee the below image for the venn diagram=======================================================
Explanation:
35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the officeSo far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.
The remaining 90-80 = 10 people are absent.
The venn diagram is below.
What’s the domain of the function?
Answer:
domain of function refers to the various values that can be passed through to the function.
Step-by-step explanation:
See the image for the question
Answer:
The value of equipment after 2 years is $58,800
Step-by-step explanation:
f(n) = 67,500(14/15)ⁿ
where f(n) is the value after n years.
1 – 1 / 15 = 14 / 15.
Given g(x) -x + 4, solve for a when g(x) = 8.
Answer:
x = 12
Step-by-step explanation:
g(x) - × + 4 =0
put g(x) = 8
so, 8 - x + 4 = 0
x = 12
Answer:
x = - 4
Step-by-step explanation:
Given g(x) = - x + 4 and g(x) = 8 , the equate the right sides, that is
- x + 4 = 8 ( subtract 4 from both sides )
- x = 4 ( multiply both sides by - 1 )
x = - 4
NEED HELP ASAP
6 th grade mathematics question
Answer:
B, 8 (2a+3b).
Step-by-step explanation:
First, let's let A=1 and B=2. 16a+24b would equal 64, and so would B, which is 8 (2a+3b). Then lastly you solve, and you get 64 for both of them, which means B is equal to that expression.
Answer:
B
Step-by-step explanation:
8(2a) = 16a
8(3b) = 24b
16a + 24b
What statement is true about the following pair of rectangles
Answer:
The second choice
Step-by-step explanation:
For this, we can use the process of elimination. The first choice is crossed out, since they are mix and matching the numbers. The third choice is also crossed out since the second choice is correct. The second choice is correct because 9/11*3=27/33.
Answer:
They are similar because 9/11 = 27/33
Help me pleassseeeee
Answer:
8x+(-20x)
Step-by-step explanation:
Photo attached!!!!!!!
Answer:
i cant see the photo
Step-by-step explanation:
Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?
I can't understand tell me in english
Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard . Considering this data how many of the next 90 men who walk by should Bryan expect to have a beard?
Answer:
27
Step-by-step explanation:
every 30 men = 9 men with beards
you have 30 3 times in 90 so you get 27
60÷2=30
18÷2=9
30 men normal = 9 men with beards
90÷30=3
3×9=27
You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.
a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
Answer:
m = +/- 12
Step-by-step explanation:
A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).
When we plug in what we know, we have:
m^2 - 4(18)(2) = 0.
Then using algebraic properties, solve for m.
m^2 - 144 = 0
m^2 = 144
m = +/- 12
When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.
Answer: C
Step-by-step explanation:
EDGE 2023
What is the first step in using the square root property?
Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.
Step-by-step explanation:
To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.
can we say ((-16)÷4) ÷ (-2) is the same as (-16)÷ (4÷(-2)?
Answer:
no we can't
Step-by-step explanation:
(-4)÷(-2). (-16÷(-2)
2. 8
[tex]\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex][( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ][/tex]
Let us first solve for L. H. S.
[tex] = [( - 16 )\div 4) \div ( - 2)][/tex]
[tex] = [ (\frac{ - 16}{4} )\div ( - 2)][/tex]
[tex] = \frac{( - 4)}{( - 2)} [/tex]
[tex] = 2[/tex]
Now, R. H S.
[tex]( - 16) \div [4 \div ( - 2)][/tex]
[tex] = \frac{ - 16}{ - 2} [/tex]
[tex] = 8[/tex]
[tex]\sf\purple{L. H. S.\: ≠ \:R. H. S. }[/tex]
Hence, [tex][( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ][/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]