Substitute the values of a nad b to the expression:
[tex]125a^0b^4=(125)\left(\dfrac{5}{7}\right)^0\left(-\dfrac{1}{5}\right)^4=(125)(1)\left(\dfrac{1^4}{5^4}\right)\\\\=(125)\left(\dfrac{1}{625}\right)=\dfrac{125}{625}=\dfrac{125:125}{625:125}=\dfrac{1}{5}[/tex]
Please help.
[tex] \frac{3}{10} \times \frac{2}{4} = [/tex]
Answer:
6/40 ; Simplified: 3/20
Step-by-step explanation:
Multiply the two fractions. Note that when multiplying, you do not need common denominators. Multiply straight across.
3/10 * 2/4 = 6/40
Simplify if needed. Divide common factors from both the numerator and denominator.
(6/40)/(2/2) = 3/20
~
Answer,
[tex]\frac{3}{20}[/tex]
Explanation,
[tex]\frac{3}{10} * \frac{2}{4} = \frac{3}{20} \\[/tex]
[tex]\frac{3 * 2}{10 * 4} \\\\[/tex]
[tex]= \frac{6}{40}[/tex]
[tex]\frac{6/2}{40/2}[/tex][tex]
= \frac{3}{20}[/tex]
Hope This Helps :-)
keith and michelle went out to dinner. the total cost of the meal,including the tip,came to $53.70. if the combined tip came out yo 9.60,and each friend spent and equal amouny,how much did each friend pay not including the tip?
Answer:
23.45
5
Step-by-step explanation:
53.70-9.60 is 46.90
46.90 divided by 2 is 23.45
Each friend paid $22.05 before the tip.
Keith and Michelle's dinner bill is a mathematics problem that can be solved by subtracting the tip from the total bill to find the cost of the meal alone and then dividing that amount by two to find out how much each friend has to pay without the tip.
First, we subtract the combined tip of $9.60 from the total cost of the meal, which was $53.70. This gives us the cost of the meal before the tip was added:
$53.70 - $9.60 = $44.10
Next, since Keith and Michelle spent an equal amount, we divide the cost of the meal by 2 to find out how much each friend pays:
$44.10 / 2 = $22.05
So, each friend paid $22.05 for the meal before adding in the tip.
Can someone help me & explain, please?
Put the numbers in the data set in order from smallest to largest:
44, 45, 45, 47, 49, 50, 50, 51, 55, 55, 55, 56
The smallest number is 44, the largest is 56, so the outside lines need to be above those numbers.
Both A and B have that.
Now find the median ( the average of the middle two numbers)
The middle two numbers from the list are 50 and 50 so the median would be (50 +50) /2 = 100/2 = 50
The middle line inside the rectangle needs to be above 50.
This makes the answer A.
Gretchen makes pillows using 1 5/8 yards of fabric per pillow. She has 8 1/4 yards of fabric. What is the greatest number of pillows Gretchen can make?
a( 4 , b(5 , c(6 , or d(8
Gretchen can make 5 pillows with the fabric she has.
Define fractionA fraction is a numerical quantity that represents a part of a whole. It consists of two numbers separated by a line, with the number on top called the numerator and the number on the bottom called the denominator
1 5/8 yards of fabric = 13/8 yards of fabric
8 1/4 yards of fabric = 33/4 yards of fabric
Number of pillows = (Total fabric) ÷ (Fabric per pillow)
Number of pillows = (33/4 yards of fabric) ÷ (13/8 yards of fabric per pillow)
Number of pillows = (33/4 yards of fabric) × (8/13 pillows per yard of fabric)
Number of pillows =5.076≈5
Hence, the greatest number of pillows she can make is 5, which corresponds to option (a) in the multiple choice list.
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which graph has a coefficient correlation r closeest to -0.95
Answer:
Graph has a coefficient correlation r closest to -0.95 is the b).
Step-by-step explanation:
The correlation refers to the slope of a function and the sign indicates the direction to be linear the correlation informs us that it is inversely proportional
Taking some number to realice
Y axis maximum 5
X axis maximum 5
Notice 5 is where cut axis y so b=5
Equation:
[tex]y=mx+b\\y=-0.95x + 5[/tex]
Replacing:
x1=1.25; x2=2.5; x3=3.8;
So:
(1.25, 3.8); (2.5, 2.625); (3.8, 1.39)
What is the definition of similar figures
Answer:
Figures are objects that have the same shape, but may have different sizes.
Similar figures are figures that have the same shape but different sizes, with corresponding angles equal and side lengths proportional. This mathematical concept can be applied to many real-world and artistic comparisons.
The definition of similar figures in mathematics is that they are figures that have the same shape but may differ in size. This means that corresponding angles of similar figures are equal, and the lengths of corresponding sides are proportional. For example, all circles are similar to each other since they all have the same shape, regardless of their diameter. A real-world example can be seen when comparing photographs of objects that are the same shape but different sizes, such as a large elephant and a small toy elephant. Despite the size difference, if both are scaled versions of each other, they are considered similar figures.
The concept of similarity extends to various fields and contexts. In art analysis, similar figures may refer to recurring shapes or themes within artworks. An understanding of figure-ground perception, as seen in optical illusions like a vase or two faces, also plays on the concept of recognizing similar shapes within different contexts.
On average a cow produces 7 gallons of milk per day on average how many cups of milk will a cow produce in a week
What’s the rate of change described in the table
Rate of change:
Answer:
(x+4,y+5)
Step-by-step explanation:
If you look at the differences in the x and y rows t=you can see that x is added 4 each time and y is add 5 each time.
Barry Olson just purchased 800 shares of an electronics corporation stock at $42.17 per share. His online broker charged him $10.00 commission. What was the total cost of the stock? Show work.
A) 22,489
B) 33, 579
C) 42, 458
D) 33, 746
Answer:
Option D) 33746
Step-by-step explanation:
Total shares: 800
Share price: $42.17
Commission charged: $10
Total price of shares: Total shares × share price
= 800 × 42.17 = 33736
Total Cost: Total price of shares + Total Commission charged
= 33736 + 10 = $33746
What is the value of 4g + 5h when g = 1 and h = 4?
The value of the expression 4g + 5h, when g = 1 and h = 4, is 24. Process of solving involves substitution of the given values into the expression and performing the arithmetic operations of multiplication and addition as per the order of operations.
Explanation:You are looking for the value of the expression 4g + 5h when g = 1 and h = 4. This is a mathematics problem which requires you to substitute the given values of g and h into the expression and then simplify. Here are the steps:
Replace g with 1 and h with 4 in the formula. So, the expression becomes 4(1) + 5(4). Next, carry out the operations inside the parentheses. Multiplication is carried out before addition in the order of operations. Hence, the expression becomes 4 + 20. Finally, add these values together to get the answer. Hence, 4 + 20 = 24.Therefore, the value of the expression 4g + 5h when g = 1 and h=4 is 24.
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10p - (3p - 4) = 4(p + 1) + 9
Answer:
p = 3
Step-by-step explanation:
distribute parenthesis on both sides of the equation
10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )
7p + 4 = 4p + 13 ( subtract 4p from both sides )
3p + 4 = 13 ( subtract 4 from both sides )
3p = 9 ( divide both sides by 3 )
p = 3
to the nearest tenth, what is the length in units of MN?
Answer:
10
Step-by-step explanation:
Answer:
b) 6.7
Step-by-step explanation:
Point M has the coordinates (2, -3)
Point N has the coordinates (8, -6)
The length of the segment MN is computed as follows:
L =√[ (xN - xM)² + (yN - yM)² ]
L =√[ (8 - 2)² + (-6 - (-3))² ]
L =√[ 36 + 9 ]
L = 6.7
Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain/?
Answer: There are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
There are 5 red fabrics and 11 gold fabrics that would be used for each curtain.
Step-by-step explanation:
Since we have given that
Number of yards of red fabric purchased by Jane = 50
Number of yards of gold fabric purchased by Jane = 110
We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.
For this we will find H.C.F. of 50 and 110.
Factors of 50 = 1, 2, 5, 10, 25, 50.
Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.
So, Highest common factor of 50 and 110 is 10.
So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.
Number of yards of red fabric is given by
[tex]\frac{50}{10}=5[/tex]
Number of yards of gold fabric is given by
[tex]\frac{110}{10}=11[/tex]
Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.
Please help me the pic might not load
A car travels 370 1/2 miles in 6 1/2 hours what is the average speed at which the car is traveling
Answer:
57 miles per hour
Step-by-step explanation:
Speed is equal to distance over time
I changed the fractions to decimals for ease of math
distance = 370 .5 miles
time = 6.5 hours
Speed = 370.5/6.5 = 57 miles/hour
The square of the sum of a number and 9 is ??????
[tex]n-a\ number\\\\(n+9)^2=n^2+2(n)(9)+9^2=n^2+18n+81\\\\Used\ (a+b)^2=a^2+2ab+b^2[/tex]
Answer:
(x+9)²
Step-by-step explanation:
The square of the sum of a number and 9 is in terms of x, is (x+9)²
Which sequence of transformation will not result in a figure that is congruent to the original figure?
A) a rotation of 270° counter clockwise about the origin followed by translation of eight units to the right
B) A reflection over the Y axis followed by a rotation of 180° about the origin
C) a dilation with a scale factor of four followed by reflection over the x-axis
D) A reflection over the Y axis followed by a translation of 3 units to the left and 2 units to the right
Answer:
The correct option is C.
Step-by-step explanation:
Two figures are congruent if their corresponding sides are congruent.
We know that, reflection, rotation and translation are rigid transformation. It means the size and shape of image and preimage are same. We can say that in rigid transformation, the image and preimage are congruent.
Dilation is not a rigid transformation. It represents enlargement and compression.
If scale factor |k|>1, then it represent enlargement. If scale factor |k|<1, then it represent compression.
In option C, the scale factor is 4. It means the sides of image are 4 times of the preimage.
Therefore option C is correct and the resultant figure of option C is not congruent to the original figure.
The U.S. has about 190 million acres of national forest. One square mile is the same as 640 acres. How many states the size of Wyoming will cover the same area as all the national forests in the U.S.? Wyoming is shaped much like a rectangle. It is about 352 miles long and 278 miles wide:
Answer:
Around 3
Step-by-step explanation:
It is given that 1 sq. mile is equal to 640 acres.
Let's convert 190 million acres to sq. miles.
[tex]190,000,000*\frac{1Sq.Mi.}{640Acres}=296,875Sq.Mi.[/tex]
Taking Wyoming as a rectangle, we can find the area of Wyoming by multiplying length (352 miles) with width (278 miles).
Area of Wyoming is [tex]352*278=97,856[/tex]
To find the number of Whyoming's in total area of national forests, we divide the area of national forests (in sq. mi.) by the area of Wyoming ( in sq. mi.):
[tex]\frac{296,875}{97,856}=3.03[/tex]
So, around 3 Wyoming states' area will cover the area of national forests in US.
solve this equation 11/20 +x= 9/10
Answer:
7/20
Step-by-step explanation:
[tex]\frac{11}{20}+x=\frac{9}{10} \\x=\frac{7}{20}[/tex]
Answer:
x=7/20
Step-by-step explanation:
11/20 +x= 9/10
Subtract 11/20 from each side
11/20-11/20 +x= 9/10-11/20
x = 9/10-11/20
We need a common denominator of 20
x = 9/10 *2/2 - 11/20
x =18/20 -11/20
x = 7/20
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Which of the following is true about the decimal form of the number? 892/16
A.
It is a terminating decimal.
B.
It is neither a terminating decimal nor a repeating decimal.
C.
It is both a terminating decimal and a repeating decimal.
D.
It is a repeating decimal.
Answer:
The answer is A.
Step-by-step explanation:
When 892/16 was put into decimal form I ended up with 55.75.
That is a terminating decimal.
Terminating decimal ends after a few number of digits.
Answer:
A
Step-by-step explanation:
Eddie orders 8 pizzas for a party. He gives each person at the party 3/5 of a pizza. How many people are at the party?
Eddie ordered 8 pizzas and gave each person 3/5 of a pizza. By dividing the total amount of pizza by the amount each person gets, we determine that there are roughly 13 people at the party.
Explanation:To solve this problem, you have to divide the total amount of pizza by the amount each person gets. Eddie ordered 8 pizzas and he is giving each person 3/5 of a pizza. To find the number of people, you simply divide the total pizza by the pizza each person gets. The calculation would look like this: 8 divided by (3/5) is equal to 8 * (5/3), which is equal to 40/3, roughly 13.33.
Since we can't have a fraction of a person at the party, we would round this down to 13 people.
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Wangari plants trees at a constant rate of 12 trees every 3 hours. Write a equation that relates p, the number of trees Wangari plants, and h, the time she spends planting them in hours.
Wangari plants trees at a rate of 4 trees per hour. The equation relating the number of trees planted (p) to the time spent planting (h) is p = 4h.
Equation for Trees Planted by Wangari
Wangari plants trees at a constant rate, which means we can write a linear relationship between the number of trees planted (p) and the time spent planting them (h in hours). From the problem, we know:12 trees are planted in 3 hoursFirst, let's find the rate of planting trees per hour. We do this by dividing the number of trees by the number of hours:Rate = Number of Trees / TimeRate = 12 trees / 3 hours = 4 trees/hourThis tells us that Wangari plants 4 trees every hour. To write an equation that relates the number of trees (p) to the number of hours (h), we use the rate we found:
p = 4hHere, p represents the number of trees planted and h represents the number of hours spent planting.
x/2+3=-5
solve step by step
Answer:
x=-16
Step-by-step explanation:
x/2+3=-5
Subtract 3 from each side
x/2+3-3=-5-3
x/2 = -8
Multiply each side by 2
x/2*2 = -8*2
x = -16
April has 3 pounds of trail mix she put it on mountain each of eight bags how much trail mix is in each bag
A) 8/3 lb
B)3/8lb
C)1/5lb
D)1/24 lb
If possible please explain why.... THANKS in advance
Answer:
B)3/8lb
Step-by-step explanation:
We have 3 lbs or trail mix. We need to put it in 8 bags.
Take the pounds and divide by the bags.
3 lbs / 8 bags
Each bag will have 3/8 of a pound
Answer:
Pounds / bag = 3/8 = 3/8 of a pound per bag.
Step-by-step explanation:
What you are doing is saying that the total number of bags is 8
Each bag must contain the same amount of trail mix. So your units are pounds per bag. That is a very handy thing to know. It means that pounds is the numerator and bags is the denominator.
pounds = 3bags = 8pounds / bag = 3/8 Conclusion: each bag contains 3/8 pounds.Answer B
Im supposed to get the y intercept in this so, the line goes through the points (-1, -7) and (-8, -2) Its graphing for Algebra 1
Answer:
The y intercept is -54/7
Step-by-step explanation:
We can find the slope
m = (y2-y1)/(x2-x1)
= (-2--7)/(-8--1)
= (-2+7)/(-8+1)
=5/-7
= -5/7
We can use the point slope form of the equation to find the equation of the line
y-y1 = m(x-x1)
y--7 = -5/7 (x--1)
y+7 = -5/7 (x+1)
Distribute the -5/7
y+7 = -5/7 x - 5/7
Subtract 7 from each side
y+7-7= -5/7 x -5/7 -7
y = -5/7x -5/7 -7
Get a common denominator of 7
y = -5/7x -5/7 -49/7
y = -5/7x -54/7
This is in the form
y= mx+b, where b is the y intercept
The y intercept is -54/7
A real estate agent receives 5% commission on the first $250, 000 of a house selling price
The answer to the question is $12500.
Forrest Lumber purchased a table saw for $735. After 2 years the saw had a depreciated value of $525. What is the amount of yearly depreciation? A. $105 B. $210 C. $90 D. $120
Final answer:
The amount of yearly depreciation for the table saw is calculated by subtracting the depreciated value from the original cost and dividing by the number of years, resulting in an amount of $105 per year.
Explanation:
The question involves calculating yearly depreciation of an asset, which is a common topic in accounting and finance sections of high school mathematics or business studies.
To find the amount of yearly depreciation, we subtract the end value of the asset after depreciation from its original cost and then divide by the number of years over which the depreciation occurred. In this case, we have:
Original cost of the saw = $735
Depreciated value after 2 years = $525
Depreciation over 2 years = Original cost - Depreciated value
Depreciation over 2 years = $735 - $525 = $210
Yearly depreciation = Depreciation over 2 years ÷ Number of years
Yearly depreciation = $210 ÷ 2 = $105
Therefore, the yearly depreciation of the table saw is $105, which corresponds to option A.
Use the substitute method to solve the system of equations.
N=-7m-4
14m+2n=-8
A. Infinite solutions
B. No solution
C. (4,8)
D. (-8,-8
Answer:
A
Step-by-step explanation:
n=-7m-4
14m+2n=-8
Substitute the first equation into the second one/
14m + 2(-7m - 4) = - 8
14m - 14m - 8 = - 8
- 8 = - 8
This means than m can be anything, and therefore there are an infinite number of possible answers.
A
write a polynomial that will have these solutions
x=3
2+3i
Answer:
p(x) = x³ - 7x² + 25x - 39
Step-by-step explanation:
complex roots occur as conjugate pairs, thus
2 + 3i is a root then 2 - 3i is also a root
given x = 3, x = 2 +3i, x = 2 - 3i are roots, then
(x - 3), (x - (2 + 3i))(x - (2 - 3i)) are the factors and
p(x) = a(x - 3)(x - 2 - 3i)(x - 2 + 3i) ← a is a multiplier
let a = 1
p(x) = (x - 3)((x - 2)² - 9i²)
= (x - 3)(x² - 4x + 4 + 9) → [ i² = - 1 ]
= (x - 3)(x² - 4x + 13)
= x³ - 4x² + 13x - 3x² + 12x - 39
= x³ - 7x² + 25x - 39
What is the sum of 5 and 6 hundredths and 46 thousandths?
Answer:
5.106
Step-by-step explanation:
To start, sum is the addition of numbers. Therefore, 5 + 0.06 + 0.046 = 5.106