Answer:
48
Step-by-step explanation:
first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)
125-25 = 100
multiply 40*100= 4000
5000-4000= 1000
divide 1000/125 = 8
therefore , 40+8= 48
find the shaded area ..
Answer:
39°
Step-by-step explanation:
The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°
angle on circle in lower triangle
= 180° - (65 + 76)° ← angle sum in triangle
= 180° - 141° = 39°
Angles on the circle subtended from the same arc are congruent, then
shaded angle = 39°
in a survey of 850 students in a school 90% reported having pets at home. if the margin of error is +3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home
Answer:
86.6% ; 93.4%
Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ;
Confidence interval = phat ± margin of error
Phat = 90% ; margin of error = +3.4%
Hence,
90% ± 3.4%
(90 - 3.4)% ; (90 + 3.4)%
86.6% ; 93.4%
A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?
Answer:
The stock in last three days has a net gain of 3.
Step-by-step explanation:
The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:
[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]
[tex]x = 3[/tex]
The stock in last three days has a net gain of 3.
Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,
what is its length in the map?
Answer:
5 cm
Step-by-step explanation:
We can use a ratio to solve
1 cm x cm
------- = ---------
18 m 90 m
Using cross products
1 * 90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x
5 cm
[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]
Now , Cross Multiplying[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]
Hence , the length of map is 5 cm.
HELP!
what is the y-intercept of the function f(x)=5*(1/6)^x
Answer:
The y intercept is (0,5)
Step-by-step explanation:
f(x) = 5 * (1/6)^x
What is the y intercept? Let x = 0
f(0) = 5 * (1/6)^0
f(0) = 5*1 = 0
The y intercept is (0,5)
I need help
Center?
Radius?
Answers:
Center = (1, 5)
Radius = 3
===========================================================
Work Shown:
[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]
----------------------
Explanation:
The idea is to complete the square for the x and y terms separately.
Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.
The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2
Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]
Center = (h,k) = (1,5)
Radius = r = 3
Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain
Answer:
u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you
Find the area of the triangle.
PLEASE HELP ASAP!
Answer:
D 111.4 cm²
Step-by-step explanation:
Which point bisects the segment ZV?
Bisect means it is in the middle so that the length of each side would be the same.
The bisector is point W
How do l solve this HELP pls
As its a Quadrilateral
Using angle sum property
[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]
[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]
[tex]\\ \sf\longmapsto 15x+255=360[/tex]
[tex]\\ \sf\longmapsto 15x=360-255[/tex]
[tex]\\ \sf\longmapsto 15x=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
The angle sum property of a quadrilateral
The sum of angles of a quadrilateral is 360°⇛ ∠E + ∠F + ∠G + ∠H = 360°
Solution[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]
What is the value of x?
Answer:
x=5
Step-by-step explanation:
Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5
I'LL GIVE BRAINLIEST !! FASTER
please provide explaination
Answer:
532
A
Step-by-step explanation:
A=86
B=180
C=94
D=266
now,
a+b+c+d_94
=86+180+94+266_94
=532
What is the value of 4x2 + 5x - 8, if x = 3?
Answer: 43
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.
Given
4x² + 5x - 8
x = 3
Substitute the value of x
4(3)² + 5(3) - 8
Simplify exponents
4(9) + 5(3) - 8
Simplify multiplication
36 + 15 - 8
Final subtraction and addition
43
Hope this helps!! :)
Please let me know if you have any questions
Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.
Answer:
2y=2y-4=x
Step-by-step explanation:
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c
Answer:
x = (b-c)/a
Step-by-step explanation:
ax + b = c
Subtract b from each side
ax+b-b = c-b
ax = b-c
Divide by a
ax/a = (b-c)/a
x = (b-c)/a
Answer:
x= (C-B)A
Step-by-step explanation:
In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively
Given:
Total number of people = 10
To find:
The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.
Solution:
We know that the number of ways to select r items form n times is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].
The number of remaining people is [tex]10-2=8[/tex].
The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].
The number of remaining people is [tex]8-3=5[/tex].
The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].
Now, the total number of ways is:
[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]
[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]
[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]
[tex]Total=45\cdot 56\cdot 1[/tex]
[tex]Total=2520[/tex]
Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.
Write an equation of the line that is parallel to the given line and passes through the given point.
9. y= -2x+6 (0,-4)
10. -2x+3y=12 (3,2)
pls help me!!!!!
Answer:
9.) y=-2x-4
10.)y=2/3x
Step-by-step explanation:
Parallel lines have the same slope, different intercepts
9.) The slope is -2x
To find the parallel line
y-(-4)=-2(x-0)
y+4=-2x
y-4=-2x-4
y=-2x-4
10.) You must first put the equation in slope-intercept form.
-2x+2x+3y=2x+12
3y=2x+12
Divide by 3
3y/3=2x/3+12/3
Simplify
y=2/3x+4
Slope = 2/3x
y-2=2/3(x-3)
y-2=2/3x-6/3
y-2=2/3x-2
y-2+2=2/3x-2+2
y=2/3x
x^{4} - 5x^(2) + 2x + 3 < 0
the Answer is irrational number
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
1 month
3 months
4 months
0 months
Answer: C. 4 months
Step-by-step explanation:
Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.
una caja contiene 2 bolitas blancas y 3 blancas .la probabilidad de que la primera extraída sea blanca y la segunda sea negra , sin reponer la primera
si cinco son blancas como va a ver una negra ?
Find the slope of the line that passes through (7, 2) and (9, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
the slope is m=7/2
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
Find the sum... 6.87 + 2.39
Answer:
9.26
Step-by-step explanation:
Using the table, we can deduce that:
6+2 = 8
8+3=11
7+9=16
Using addition rules:
The '1' in the 11 moves and is added to the 'ones' place.
The '1' in the 16 moves and is added to the 'hundredths' place.
Thus,
8+1 . (1+1) (6)
9.26
It is also most certainly possible to use a calculator, which is much, much easier.
Find the sum... 6.87 + 2.39
6.87 + 2.39=9.26
Practice multiplying numbers by powers of 10.
By how much is 9966004321 larger than 1 billion
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
https://brainly.com/question/17329628
#SPJ2
Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º
What are the values of x and y
Answer:
x = 110
y = 15
Step-by-step explanation:
AB is parallel to CD
angle B and angle D are alternate and they are equal
106-2x = 3x-4
106 + 4 = 3x - 2x
110 = x
same goes for y
7y + 13 = 10y - 32
13 + 32 = 10y - 7y
45 = 3y divide both sides by 3
15 = y
Let f(x) = 4x + 3 and g(x) = -2x + 5. Find. (g⋅f)(5)
Answer:
-41
Step-by-step explanation:
f(x) = 4x + 3 and g(x) = -2x + 5
g(f(5) ) =
First find f(5) = 4(5)+3 = 20+3 = 23
Then find g(23) = -2(23) +5 = -46+5 = -41
A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of cookies that can be made with the bag of sugar
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
MY HOMEWORK IS DUE SOON!!! PLEASE HELP
Answer:
7.07143
Step-by-step explanation:
Diameter: 18
Angle: 45
Radius: 9
I really need help……
Answer:
Option C
Step-by-step explanation:
A function's input is assigned to exactly one output. Any input must not repeat.
Option A's not a function because the input of 3 repeats.
Option B's not a function because the input of -4 repeats.
Option C's a function because no inputs repeat.
Option D's not a function because the input of 5 repeats.
Hope this helps.
Will give brainliest plz answer quick
Answer:
65
Step-by-step explanation:
Exterior angle = Sum of 2 interior angles
x + 31 = x + x - 34
x + 31 = 2x - 34
x - 2x = - 34 - 31
- x = - 65
x = 65
Step-by-step explanation:
A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.
[tex]x+x-34+180-x-31=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
