Answer:
1,000,000= 10^6
10 times 10 is 100 (10^2)
10,000 times 10 is 100,000 (10^5)
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Answer: fixed charge = 15, extra day = 3
Step-by-step explanation:
Let x represent the charge for an extra day (after 3 days)
Let y represent the fixed charge (for first 3 days)
Equation 1: 7 days is 4 extra days --> 4x + y = 27
Equation 2: 5 days is 2 extra days --> 2x + y = 21
Multiply the second equation by -1 and add the two equations together:
4x + y = 27
-2x - y = -21
2x = 6
x = 3
Input x = 3 into either equation to solve for y:
2x + y = 21
2(3) + y = 21
y = 15
i have 18ones,15hundreds,15tens,and 8 thousands
9668
Explanation:
18 ones, 18x1=18
15 hundreds, 15x100 =1500
15 tens, 15x10=150
8 thousands,8x1000=8000
8x1000=800018+1500+150+8000=9668
Hope this answer correct :)
I need help, please help me
Answer:
1)2A/b=h
2)m1=Fgr'2/Gm2
Step-by-step explanation:
Hope it helps you
Which expressions are equivalent to 3(4h+2k)?
Answer:
(4h+2k)
Step-by-step explanation:
y685
It takes Erin 4 hours to build a statue and Cathy 6 hours to do the same job. How
many hours would it take them to build a statue working together?
What’s the absolute value for this ?
Answer:
The absolute value for x = 1/6
Step-by-step explanation:
Leave |x + 3| alone
2/3|x + 3| = 11/6 + 1/2 ➡ 2/3|x + 3| = 14/6
|x + 3| = 14/6 ÷ 2/3 ➡ |x + 3| = 7/2 now we write two equations
x + 3 = 7/2 or x + 3 = -7/2 first we subtract 3 from all
x = 1/6 or x = -13/6 since we are asked to find the absolute value, the answer would be 1/6
Plz help me I just started 8th grade.
Answer:
I think this is slope. So for each point you go up 3 units. All of the point should connect into a straight line.
Step-by-step explanation:
Mark Point R on the graph to its coordniates. Do the same to Point D, L and F. after you are done then go back to each point and go up 3 units/points. Then draw a line connecting the 4 points. Then you will have your answer. Hope this helped!
Find the area of a parallelogram with a base of 7 metres and a height of 8 metres. Show full working out
Answer:
[tex]56m^2[/tex]
Step-by-step explanation:
Step 1: Area of Parallelogram Formula
A=bxh
Step 2: Plug in the information and solve
A=7mx8m
A=[tex]56m^2[/tex]
Therefore the area of the parallelogram is [tex]56m^2[/tex]
Answer:
56 Meters Squared
Step-by-step explanation:
Area of a Parallelogram is: [tex]A=b*h[/tex]
We are given the base of 7 meters and the height of 8 meters.
[tex]A=7*8\\\\A=\boxed{56}[/tex]
The area of the parallelogram is 56 square meters.
Factor the trinomial below.
x2 + 14x + 48
O A. (x+6)(x+8)
B. (x+4)(x+12)
O C. (x-6)(x-8)
O D. (x-4)(x - 12)
Answer:
( x+6)(x+8)
Step-by-step explanation:
x^2 + 14x + 48
What 2 numbers multiply to 48 and add to 14
6*8 = 48
6+8 = 14
( x+6)(x+8)
x² + 14x + 48 [ Given ]
By split middle term ,we get:
=> x² + 8x + 6x + 48
=> x ( x + 8 ) + 6 ( x + 8 )
=> ( x + 6 ) ( x + 8 )
Evaluate ab – 0.55 when a
1 and b = 5.
Write an equation of the line below.
Answer: y = -2/5x -4
Step-by-step explanation:
First we can notice that the line is not going through the origin but is is going through the y-intercept which is -4.In this case the the equation of the line has be in slope intercept form as if y=mx +b where only m and b is indicated and m is the slope and b is the y intercept. So since we already know the y intercept is -4 we need to find the slope using the points on the line.
The points (0,-4) and ( -5,-2) lies on the line and we could use them to find the slope. To find the slope,we need to find the change in the y coordinates and divide it by the change in the x coordinates.
-4 -(-2) = -2
0 - (-5) = 5
slope: -2/5
So since the slope is -2/5 and the y intercept is -4 then we will have the equation,
y= -2/5x - 4
(-2)+6(-5)+9 find the sum
Answer: We should first use order of operations to multiply 6 and -5. Then we add and subtract from left to right.
Demo:
6 * (-5) = -30
Equation looks like: -2 - 30 + 9
-2 - 30 = -32
-32 + 9 = -23
-23 is the answer to this equation.
Tell whether the statement true or false. If it is false, give a counter example.
Can anyone help me with these? Thank you so much if you can!
Answer:
25) true
for example if x is -3 then x^2 will be +9
26) false
for example -3×-3×3 can give you positive answer 27
27) true
because any number when multiplied with 0 will only give you 0 answer
Step-by-step explanation:
What is the midpoint of AB
Answer:
A= (-5, -4)
B = (-3, 3)
x1 = -5 , x2 = -3
y1 = -4 , y2 = 3
[tex]midpoint = ( \frac{x1 + x2}{2} \: \: \frac{y1 + y2}{2} )[/tex]
[tex] = (\frac{ - 5 - 3}{2} \: \: \frac{ - 4 + 3}{2} )[/tex]
= (-4, -0.5)
Does anyone know this?
Answer:
-6
Step-by-step explanation:
Hello!
Since we are finding f(-1) we put -1 in for x
2(-1)^2 + 8(-1)
Follow PEMDAS
2 * 1 + 8(-1)
2 * 1 + -8
2 + -8 = -6
The answer is -6
Hope this helps!
Please help assappppp!!!1
Answer:
(D) C'D' and CD are equal in length
Step-by-step explanation:
When we reflect a line, nothing changes about it except it's position.
The line never gets dilated in any way.
This means that B and C must be incorrect, since they refer to dilating the line.
Now we can think about it. If we reflect a line across the y-axis, that means that the line will be parallel to the original line. This means A is false.
That leaves D.
Hope this helped!
Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown below. Carlos’s Work 14 (49) Step 1 14 (40 + 9) Step 2 14 (40) + 9 Step 3 560 + 9 Step 4 569 What was the first error that Carlos made?
PLZ HELP ME PLZ PLZ PLZ I NEED HELP
Answer:
The 1st error that Carlos made was in Step 2...
In step 2 , Carlos multiplied 14 only with 40. If he would have multiplied 14 with both 40 & 9 , then it could have been alright.....
Solve the equation: 3x - x + 2 = 4(2x - 1) infinite solutions x = 1 x = -1 no solution
Answer:
[tex]x=1[/tex]
B
Step-by-step explanation:
So we have the equation:
[tex]3x-x+2=4(2x-1)[/tex]
Combine like terms on the left:
[tex]3x-x+2=4(2x-1)\\2x+2=4(2x-1)[/tex]
Distribute out the right:
[tex]2x+2=4(2x-1)\\2x+2=8x-4[/tex]
Subtract 2x from both sides. The left side cancels:
[tex](2x+2)-2x=(8x-4)-2x\\2=6x-4[/tex]
Add 4 to both sides. The right side cancels:
[tex]2+4=(6x-4)+4\\6=6x[/tex]
Divide each side by 6:
[tex](6)/6=(6x)/6\\x=1[/tex]
Therefore, the solution is: x=1.
if the product of two identical number is one thousand twenty four. Find out of the numbers
Answer:
32
Step-by-step explanation:
1,024 will be a perfect square if it is the product of 2 of the same numbers:
Calculate the square root of 1024:
[tex]\sqrt{1024}[/tex]
= 32
So, the number is 32
Answer:
32
Step-by-step explanation:
Let the unknown number be n.
When multiplied together, the product is 1,024. Therefore:
[tex]n\cdot n=1024[/tex]
Combine:
[tex]n^2=1024[/tex]
Take the square root of both side:
[tex]n=\sqrt{1024}=32[/tex]
Therefore, the unknown number is 32.
Simplify the polynomial a³+a²+ab
Answer:
a (a^2 + a + ab )
Step-by-step explanation:
Step-by-step explanation:
Step 1:
To simplify this polynomial just take the term a as common
a(a^2+a+b)
Consider triangle GHJ. Triangle G H J is shown. Angle G H J is a right angle. The length of the hypotenuse is 10 and the length of another side is 5. What is the length of line segment HJ?
Answer:
[tex]\bold{\sqrt{75}}[/tex]
Step-by-step explanation:
Given
A [tex]\triangle GHJ[/tex] in which
[tex]\angle GHJ = 90^\circ[/tex]
Hypotenuse = 10
Length of another side = 5
To find:
HJ = ?
Solution:
Kindly refer to the image attached in the answer area.
We know that there are only 3 sides in a triangle.
We are given hypotenuse is 10.
i.e. GJ = 10
To find HJ, Base = ?
So, we are given the side length of GH, perpendicular i.e. 5.
Kindly refer to attached image for further details.
Let us use Pythagorean theorem here.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}[/tex]
Answer:
hJ = B 5 route 3
Step-by-step explanation:
got it right on edg 2020-2021
3. Use completing square method to evaluate 6x2 + 11x +3 = 0
Answer:
-b+or-
[tex] - b - + \sqrt{a {}^{2} - 4ac } \div 2a[/tex]
Nearly x=-1.416
Or x=-0.416
Answer:
x=-1/3 or x = -3/2
Step-by-step explanation:
6x²+11x+3=0
divide through by 6
x² +11x/6 + 3/6 =0
collect like terms that is those with x should be left on one side nd the one without x should be on the other side
x² +11x/6 = -1/2
add the square of the half of the co efficient of B i.e 11x/6 to both sides
(x+11/12)² = 121/144 -1/2
(x+11/12)² = 121-72/144
square root of both sides
x+11/12 =+or - √49/144
x= -11/12 ± 7/12
x= -1/3 or x= -3/2
What is a “real number “
use a number line to determine the new balance of Tims account. What number could be added to the expression 43 + (-52) to result in sum of zero Model your answer using a number line.
Answer:
very urgent by the get together his used handcrafted
Step-by-step explanation:
hand i do like anisajish
The level of a pond receded at the rate of 4 centimeters per day. Find the change in the water level of the pond after 7 days.
Answer:
28 centimeters
Step-by-step explanation:
The level of the pond is dropping each day by 4 cm. 7 days passed, and each day it was dropping at a constant rate. In order tto find how many centimeters the level of the pond dropped in 7 days, you have to multiply the days passed by the amount dropped each day.
So, 7 days times 4 cm. a day= 28 centimeters dropped.
Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?
Answer:
Problem:
"Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?"
Answer:
c can be any real number. There is no other conclusion we can come to. This is simply the addition property of inequality.
Answer:
Step-by-step explanation:
c is a real number. We can not know if it is positive or negative
sanji has a room with a perimeter of 42.5 feet if she wants to hand a curtain along one full side of the room how long dose the curtain need to be
Answer:
The length of the curtain is 10.625 feet
Step-by-step explanation:
The length of the curtain to cover one side of the room depends on the shape of the room
Given a room shape of a square, we have;
Perimeter = 4 × Side length of the room
Length of the curtain = Side length of the room
Therefore;
Perimeter = 4 × Length of the curtain
42.5 feet = 4 × Length of the curtain
Length of the curtain = (42.5 feet)/4 = 10.625 feet
The length of the curtain = 10.625 feet.
To multiply a sum by a number, multiply each term inside the parentheses by the number outside the parentheses.
a Simplify
b Integer
c Distributive Property
d Numerical expression
Answer:
Numerical expression
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?
Answer: n = 600.25 ≈ 601 ( sample size)
the minimum sample size of the adults in United State who have sleep deprivation is 601
Step-by-step explanation:
Given that;
the confidence level = 95% = 0.05
the Margin of error E = 4% = 0.04
∴ level of significance ∝ = 1 - C.L
∝ = 1 - (95/100)
= 0.05
Z∝/2 = 0.05/2 = 0.025
Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)
Now to calculate the sample size, we say
n = (Z(critical) / M.E )² P ( 1 - P)
now we substitute
n = (1.96 / 0.04)² × 0.5 ( 1 - 0.5)
n = 2401 × 0.5 × 0.5
n = 600.25 ≈ 601
Therefore the minimum sample size of the adults in United State who have sleep deprivation is 601
Using the formula for the margin of error, it is found that a sample of 601 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
In this problem:
There is no previous estimate, hence [tex]\pi = 0.5[/tex] is used.The minimum sample size is n for which M = 0.04, hence:[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, a sample of 601 is needed.
A similar problem is given at https://brainly.com/question/25420216
What is the opposite of 100
Answer:
-100
Step-by-step explanation:
The opposite of any positive number is the same number but negative.