Answer:
The first thing we are going to do is simplify the equation. 2 + 2 equals to 4. 6^3 equals to 216. 4 x 5 equals to 20. Now, we solve the equation to the right because we multiply before we divide 20 x 216 = 4,320 and now we are going to divide 4,320 by 4 which equals to 1,080.
Step-by-step explanation:
Answer:
542
Step-by-step explanation:
You must use order of operations: PEMDAS
P_arenthesis
E_xponents
M_ultiplication or
D_ivision left to right
A_ddition or
S_ubtraction left to right
So there are no parenthesis, then you do exponents.
2 + 2/4 * 5 * 6^3
So six times six three times.
2 + 2/4 * 5 * 216
Now divide usually from left to right.
2 + 0.5 * 5 * 216
Multiply
2 + 2.5 * 216
Multiply for the last time 2.5 by 216
2 + 540
Finally add
542
Hope this helps future students,
Que.
Edgar is closing out accounts for his company. He sees that the cost of goods sold has a $19,000 credit balance, supplies has a $1,500 credit balance, interest expense has a $1,250 credit balance, and utilities expense has a $1,300 debit balance. Edgar knows he needs to use an income summary account to close out these temporary accounts. What amount should he put down?
Answer: He should put down $20450.
Step-by-step explanation:
Since we have given that
Amount he received on cost of goods sold = $19000
Amount he received on supplies = $1500
Amount he received on interest expense = $1250
Amount he paid as utilities expense = $1300
According to question, Edgar knows he needs to use an income summary account to use an income summary account to close out these temporary accounts,
So, Amount he should put down is given by
[tex]\$19000+\$1500+\$1250-\$1300\\\\=\$20450[/tex]
Hence, He should put down $20450.
Answer: 20450
Step-by-step explanation: Plato gang
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
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
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
evaluate the expression when x=-1 and y= -8 z=1/4
xyz
Substitute the values of x, y and z to the expression:
[tex]x=-1,\ y=-8,\ z=\dfrac{1}{4}\\\\xyz=(-1)(-8)\left(\dfrac{1}{4}\right)=(8)\left(\dfrac{1}{4}\right)=\dfrac{8}{4}=2[/tex]
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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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 :-)
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.
Find the sum or difference
1/2 - 1/14
A.3/7
B.2/7
C.4/7
Answer:
A.3/7
Step-by-step explanation:
1/2 - 1/14
We need to get a common denominator of 14
1/2 * 7/7 = 7/14
7/14 - 1/14 = 6/14
We can simplify by dividing the top and bottom by 2
3/7
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.
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.
what is the unit price of 16 and 12.29, 32 and 19.98, and 128 and 34.99 (it would be really helpful to know thanks) show work
Answer:
The unit costs are $0.77, $0.62 and $0.27 respectively.
Step-by-step explanation:
The unit price is simply the cost of the items divided by the amount of the items that are included. So, just take the cost and divide it.
$12.29/16 = $0.77 per unit
$19.98/32 = $0.62 per unit
$34.99/128 = $0.27 per unit
Via says that the model below represents the equation-2x+7=3x+(-4)
The image does not represent any mathematical equation and both Val and Tia are incorrect. Hence the correct option is d.
The image shows a calculator with the following numbers entered:
1 1 =
1 1
1 1
1
The equal sign (=) is at the top, which means that the calculator is in input mode and not yet evaluating an equation.
Therefore, the image does not represent any mathematical equation and both Val and Tia are incorrect. Hence the correct option is d.
Complete question:
Val says that the model below represents the equation -2x+7 = 3x+(-4)
Tia says that the model represents the equation 7-2x = (-4)+3x
Who is correct, Val or Tia?
A:Only Val is correct.
B:Only Tia is Correct.
C:Both Val and Tia are correct.
D:Neither Val nor Tia is correct.
Juan wants to make flash cards out of a piece of cardboard that is by inches. What is the greatest number of flash cards that he can cut out of this piece of cardboard, if he wants them to be inches by inches?
Answer:
Not enough material to desc
Step-by-step explanation:
If he has 5 x 3 inches of cardboard he can
"The greatest number of flash cards that Juan can cut out of the piece of cardboard is 12.
To determine the greatest number of flash cards that Juan can cut out of the cardboard, we need to calculate the area of the cardboard and divide it by the area of one flash card.
Let's denote the dimensions of the cardboard as [tex]\( L \) inches by \( W \)[/tex] inches, and the dimensions of each flash card as [tex]\( l \)[/tex]nches by [tex]\( w \)[/tex] inches. Given that the cardboard is[tex]\( L \times W \)[/tex]inches and each flash card is [tex]\( l \times w \)[/tex]inches, we can calculate the number of flash cards as follows:
1. Calculate the area of the cardboard: [tex]\( \text{Area}_{\text{cardboard}} = L \times W \).[/tex]
2. Calculate the area of one flash card:[tex]\( \text{Area}_{\text{flash card}} = l \times w \).[/tex]
3. Divide the area of the cardboard by the area of one flash card to find the number of flash cards:[tex]\( \text{Number of flash cards} = \frac{\text{Area}_{\text{cardboard}}}{\text{Area}_{\text{flash card}}} \).[/tex]
Given that[tex]\( L = 12 \), \( W = 12 \), \( l = 3 \), and \( w = 4 \)[/tex], we can substitute these values into our equations:
1.[tex]\( \text{Area}_{\text{cardboard}} = 12 \times 12 = 144 \)[/tex]square inches.
2.[tex]\( \text{Area}_{\text{flash card}} = 3 \times 4 = 12 \)[/tex]square inches.
3. [tex]\( \text{Number of flash cards} = \frac{144}{12} = 12 \).[/tex]
Therefore, Juan can cut out 12 flash cards from the piece of cardboard."
The cargo area of a truck is 8 1/2 feet long, 6 feet wide, and 10 1/2 feet high. The volume of the cargo area is cubic feet.
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
A fruit salad with apples, oranges, and grapes is a (chemical change, mixture). circle the word that makes sense in each sentence.
Answer:
Mixture
Step-by-step explanation:
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)
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
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
Please help me the pic might not load
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.
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
whats 2(2+2)X3+1234322-16
So we know that 2+2=4 and then we multiply that by 2 and then by X3, where we get 24X. Then we must subtract 16 from 1234322, which is 1234306. So we add 1234306 to 24X and get 24X+1234306 as our answer.
Hope this helps! <3
Answer:
1234330
Step-by-step explanation:
2(2+2)*3+1234322-16
We start with what is in the parenthesis
2(4)*3+1234322-16
Then we multiply from left to right
8*3+1234322-16
Continue multiplying
24+1234322-16
Now we add from left to right
1234346-16
Last step
1234330
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
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
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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A real estate agent receives 5% commission on the first $250, 000 of a house selling price
The answer to the question is $12500.
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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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.