Answer:
Given the expression: [tex](4+5i)+(-3+7i)[/tex]
Aiko rewrites the equation by factoring out the [tex]i[/tex] from the expression and this wrote it as,
[tex](-3+7)i+(4+5)i[/tex]
but this is wrong because [tex]i[/tex] is an imaginary number which is with a number 5 and 7.
Therefore, Aiko cannot factor out the [tex]i[/tex] because it is not present in both numbers -3 and 4
She could rewrote it as
[tex](4-3)+i(5+7)[/tex]
So, she incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
10 PTS AND MARK BRAINLEST!!!! PLZZZZ HELLLPPP!!!!
1. Margot hiked around Lake C each day. How many miles did she hike in 12 days? Draw a bar diagram to show how you solved the problem. and Explan
2. Keenan hiked 15 times as far as Margot. How far did Keenan hike? Let m =the total number of miles. and Explan
3.Two hundred people hiked around the largest lake. About how many milesdid they travel? Use the standard algorithm to solve. and explan
answer
the answer for two is sense margot hiked 225 miles then 225x15=3780 m=3780.
Step-by-step explanation:
1. What was the second of two crucial events that increased U.S. concerns about the spread of
communism in 1949?
(1 point)
Communists came to power in China.
Lenin took the Russian tsars from power.
The Berlin Wall was built.
The Soviets developed an atomic bomb
2. Despite the support of American troops, which country fell to communism in 1975? (1 point)
Korea
Vietnam****
China
Germany
3. In what year did India gain its independence? (1 point)
1901
1922
1947
1975
for all three you will get 30 points thanks
Answer:
1.The berlin wall was built
2.Germany
3.1947
Write an inequality to represent the situation.
A cheese pizza costs at least $5.
Answer: [tex]x\geq5[/tex]
Step-by-step explanation:
Let variable 'x' represents the cost of a cheese pizza {in dollars}.
The given statement : "A cheese pizza costs at least $5.
"
Here, the word at least means the minimum cost of cheese pizza must be $5.
i.e. the cost of cheese pizza must be greater than or equal to $5.
Now, the inequality to represent the situation will be given by :-
[tex]x\geq5[/tex]
Ashley is riding her bicycle. She rides at a speed of
9
kilometers per hour for
14.4
kilometers. For how many hours does she ride
The equation cos(35o) =a/25 can be used to find the length of . What is the length of bc? Round to the nearest tenth
The length of BC rounded to the nearest tenth, given that Cos 35 = a / 25, is 20.5 in (option B)
How to determine the length of BC?The following data were obtained from the question:
Angle (θ) = 35Hypotenuse = Length AB = 25 inAdjacent = Length of BC = a = ?Using the cosine ratio, the length BC is calculated as illustrated below:
Cos θ = Adjacent / Hypotenuse
Cos 35 = a / 25
Cross multiply
a = 25 × Cos 35
= 25 × 0.8192
= 20.5 in (option B)
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Complete question:
See attached photo
how could you rewrite 0.05 × 10 = 0.5 as a division equation ? explain how you know
Answer:
[tex]0.05= \frac{0.5}{10}[/tex]
Step-by-step explanation:
In this question we have given an equation
0.05*10 = 0.5..............(1)
we have to rewrite this equation as a division equation
we can rewrite this equation as division equation in two ways
First form
devise the equation (1) by 0.05
we got
[tex]10= \frac{0.5}{0.05}[/tex]
second form
divide equation (1) by 10 we got
[tex]0.05= \frac{0.5}{10}[/tex]
A bag contains red and blue marbles. Given that 17/20 of the marbles are red, what percent of the marbles are blue?
Help PLZZZ
The percentage of the marbles that are blue is 15%.
What is a percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a bag contains red and blue marbles. Given that 17/20 of the marbles are red.
The percentage of red marble,
17/20 = 85%
Percent of the blue marble:
100%-85%=15%
Therefore, the percentage of the marbles that are blue is 15%.
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4:189. Estimate the quotient
Final answer:
The estimated quotient of 4 divided by 189 is approximately 0.02, obtained by rounding 189 to 200 for easier calculation.
Explanation:
To estimate the quotient of 4 divided by 189, we can round the numbers to figures that are easier to work with and that will give us a ballpark figure of the actual quotient. Now, 189 can be rounded to 200 for estimation purposes because it is the nearest number that is easy to divide with 4. Then, we divide 4 by the rounded-up figure:
4 ÷ 200 = 0.02
This result indicates that the estimated quotient is 0.02. Keep in mind that this is a rough estimate and the actual quotient will be slightly higher since we rounded 189 up to 200.
If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Answer:
27
Step-by-step explanation:
a) identify the GCF and LCM of 360 and 480
b) Identify four other common factors
c) identify four other common multiples
a) The GCF of 360 and 480 is 120 and the LCM is 7200.
b) Four other common factors are 1, 2, 3, and 5.
c) Four other common multiples are 14400, 21600, 28800, and 36000.
Explanation:To identify the GCF, or Greatest Common Factor, and LCM, or Least Common Multiple, of 360 and 480, we must consider their factorizations. The prime factorization of 360 is 2^3 * 3^2 * 5, and for 480 it is 2^5 * 3 * 5. The GCF is found by taking the lowest power of each prime factor in both numbers, which is 2^3 * 3 * 5 = 120. The LCM is found by taking the highest power of each prime factor in both numbers, which is 2^5 * 3^2 * 5 = 7200.Other common factors can be any factors of the GCF. Here are four: 1, 2, 3, and 5.Common multiples can be any multiples of the LCM. Here are four examples: 14400, 21600, 28800, and 36000.Learn more about GCF and LCM here:https://brainly.com/question/32581907
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Explain why it works to break apart a number by place values to multiply
Answer:
We are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.
Step-by-step explanation:
Because when we break apart a number by placing values to multiply like when we do in partial products, we are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.
Check below that Partial Products example:
[tex]46*32=\\46=(40+6)\\32=(30+2)\\(40+6)(30+2)=1200+80+180+120[/tex]
Breaking a number apart by place values then multiply gives the same product as multiply the numbers directly because under multiplication condition, each digit in a number multiplies every other digit in the other value.
Using the expression as an example :
(17 × 12)
17 = 10 + 7 (tens and unit respectively)
12 = 10 + 2 (tens and unit respectively)
17 × 2 = (10 + 7)(10 + 2)
(10 + 7)(10 + 2) = (10×10) + (10×2) + (7×10) + (7×2) (10×10) + (10×2) + (7×10) + (7×2) = 100 + 20 + 70 + 14 = 204Therefore, the product will give the same result always.
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He many feet is in a 100-meter dash? Show your math?
three times some number decreased by five is no less than 16
The problem involves mathematical inequalities. We translate the sentence into the inequality 3x - 5 ≥ 16 and solve for 'x', resulting in 'x ≥ 7'. Thus, the number must be 7 or any number above 7.
Explanation:The student's question involves mathematical inequalities. To solve it, let's use 'x' to represent the unknown number in the problem. The question can therefore be translated into the following inequality: 3x - 5 ≥ 16. To find 'x', follow these steps:
Add 5 to both sides of the inequality to undo the subtraction: 3x ≥ 21.Divide both sides of the inequality by 3, to isolate on 'x': x ≥ 7.So, the original sentence 'three times some number decreased by five is no less than 16' is equivalent to the inequality 'x ≥ 7'. Hence, the number must be 7 or any number greater than 7.
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While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Use a double number line to support your answer.
Kyla has to babysit for 9.55 hours to earn $52.50 so that she can buy the dress.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
The dress costs $52.50 more that Kyla has, so she has to earn that much money by babysitting so that she can have the full amount of that dress.
Kyla charges $5.50 for an hour.
So, for $52.50 she has to work for 52.50 divided by 5.50;
52.50/5.50 hours
= 9.55 hours
Therefore, Kyla has to babysit for 9.55 hours to earn $52.50 so that she can buy the dress.
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If n=50 find the value of 6n
Which equation will help you solve this problem? Each boxcar in a toy train is the same length. There are 3 boxcars. Their total length is 21 inches. How long is each boxcar?
To find the length of each boxcar, we can use the equation length of each boxcar multiplied by the number of boxcars equals the total length. Applying this equation to the given problem, we find that each boxcar is 7 inches long.
Explanation:To solve this problem, we can use the equation
In this case, the length of each boxcar is the unknown we are trying to find, the number of boxcars is 3, and the total length is 21 inches.
So, the equation will be where x represents the length of each boxcar. To find x, we need to divide both sides of the equation by 3. Thus, x=7
Therefore, each boxcar is 7 inches long.
What is the greatest 3 digit number you can subtract from 426 so that you would need to regroup?
Answer:
419
Step-by-step explanation:
Regrouping in subtraction: If we borrow from one group (tens group) and give to another (Once group) so that the operation can be completed, then this process is called regroup.
For example: We need to find the value of 52-39
[tex]52=50+2[/tex]
[tex]39=30+9[/tex]
We can not subtract 9 from 2. So we will borrow 10 from 50 and give to 2.
[tex]52=40+12[/tex]
Now,
[tex]52-39=(40+12)-(30+9)[/tex]
[tex]52-39=(40-30)+(12-9)[/tex]
[tex]52-39=(10)+(3)[/tex]
[tex]52-39=13[/tex]
We need to find the greatest 3 digit number that can subtract from 426 so that we need to regroup.
To use regroup, the once digit must be more that 6. So, maximum value for once place is 9.
Therefore, the greatest 3 digit number that can subtract from 426 by using regroup is 419.
What is the best classification of 0 in the real number system?
Answer:
Step-by-step explanation:
The 0 in the real number system goes into the most specific subset of real numbers we have, which is the whole numbers. Whole numbers include the 0, and next is the less specific natural or counting numbers which do not include the 0. (Next comes the integers and after that rational numbers, each getting less specific as they radiate out from the center)
Stephanie planted a home garden. She planted 2 rows of tomatoes with 5 tomato plants in each row. She also planted squash in rows of 7 plants each.
If x represents the number of rows of squash she planted, which of the following equations can be used to find the total number of plants Stephanie planted in her home garden?
A.
y = 7x + 10
B.
y = 7x + 7
C.
y = 8x + 7
D.
y = 15x + 7
Answer:
A. y = 7x + 10Step-by-step explanation:
The expression we have to find must include the total number of plants.
According to the problem, Stephanie has 2 rows of tomatoes with 5 tomatoes each, that means she has 10 tomato plants, so the expression must have 10 as a term.
You can see already that the only option that has 10 as a term is option A. Therefore, that's the right answer.
In addition, the other plant is represents by 7x, because the problem states that she planted squash in rows of 7 plants, where x expresses rows.
find 1/9 as many as 3 divided divided by 5
What is a cause of mechanical weathering?
A. sunlight
B. natural acids
C. physical forces
D.rainwater
Answer:
Physical force is ur answer mate
Hope it helps.
A used electronics store pays $40 for each cell phone, spends $25 refurbishing the phone, and sells the refurbished phone to a customer for $100. Write an expression in simplest form that represents the company's earnings (in dollars) from buying, processing, and selling cell phones. Use x to represent the number of cell phones they sell.
Answer:
[tex]y=35\cdot{x}[/tex]
Step-by-step explanation:
The two expenses for the phones is $40 and $25 per phone. It is sold for $100. The amount of earnings is the sale price of the phone minus the expense for the phone. Let x be the number of phones they sell and y be the earnings. The expression is:
[tex]y=100x-(40+25)\cdot{x}[/tex]
[tex]y=35\cdot{x}[/tex]
Jake, Becky, and Max are meeting at Charley's Pizza for dinner and then plan to go to a movie. When they arrive at the pizza place, each one of them has a different coupon. They decide to use the coupon that will give them the best deal. Jake's coupon is $19.99 for a pizza and pasta meal deal; Becky's coupon is for two large one-topping pizzas--each at of the menu price; and Max's coupon is for three medium one-topping pizzas -- each at off the menu price. According to the menu, a medium one-topping pizza is $8.99, and a large one-topping pizza is $14.89. They also spend $1.25 each for sodas and $5.00 on the tip. At the movie theater, Max has a coupon that's good for off a third movie ticket when you purchase two other movie tickets at the regular price. The regular price of each movie ticket is $9.80.
Although Jake, Becky, and Max plan to split the cost of the pizza and movie, they decide that with the coupons, it's just easier if one of them pays at each place. So, the friends agree that Jake will pay for the pizza and Becky will pay for the movies. At the end of the night, they'll figure out how much Max owes both Jake and Becky.
At Charley's Pizza, they should use ________ coupon.
becky's
Jake's
max's
How to add a great answer
They should use Becky's coupon. I had the same question and I got it right. Hope this helps :)
before the rain began,the water in a lake was 268 inches deep.the rain began and after four hours of rain,the lake was 274 inches deep.the rain continued for one more hour at the same intensity.what was the depth of the lake when the rain stopped?
If before the rain began, the water in a lake was 268 inches deep. the rain began and after four hours of rain, the lake was 274 inches deep. the rain continued for one more hour at the same intensity, then the depth of the lake will be 275 inches.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Before the rain began, the water in a lake was 268 inches deep.
Rain began and after four hours of rain, the lake was 274 inches deep
Let us find the amount of increase of water for 4 fours.
274-268=4 inches.
In four hours, 4 inches of water increased.
At the same rate, in one hour the water is increased by 1 inch.
So, the depth of the lake when the rain stopped is 275 inches.
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louis has 45 pencils and 75 Pens to divide into gift bags at the fair he does not want to mix the pens and pencils he wants to place an equal amount in each bag what is the greatest number of pens or pencils he can place in each bag
Final answer:
The greatest number of pens or pencils that Louis can place in each bag is 15, which is the greatest common divisor of 45 and 75.
Explanation:
How to Find the Largest Number of Pens or Pencils Per Bag
For Louis to place an equal number of pens or pencils in each bag without mixing them and to find the largest number that he can place in each bag, we need to find the greatest common divisor (GCD) of 45 (pencils) and 75 (pens). The GCD is the largest number that can divide both quantities without leaving a remainder.
Let's calculate the GCD of 45 and 75:
List the factors of 45: 1, 3, 5, 9, 15, 45.
List the factors of 75: 1, 3, 5, 15, 25, 75.
Identify the common factors: 1, 3, 5, 15.
The greatest common factor is 15.
Therefore, the greatest number of pens or pencils Louis can place in each bag is 15.
One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I take the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.
Answer:
8/3
Step-by-step explanation:
Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that
(x^2)(3)=(16-4x)(4)
3x^2=64-16x
3x^2+16x-64=0
(3x-8)(x+8)=0
Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.
The value of x = 8/3 and this can be determined by forming the quadratic equation using the given data and then factorizing it.
Given :
One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours.On the way back, I take the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home.x > 0The quadratic equation that represents the given situation is:
[tex](x^2)\times 3 = (16-4x)\times 4[/tex]
Simplify the above quadratic equation.
[tex]3x^2= 64-16x[/tex]
[tex]3x^2+16x - 64=0[/tex]
Now, factorize the above equation.
[tex]3x^2+24x-8x - 64=0[/tex]
3x(x+8) - 8(x + 8) = 0
(x + 8)(3x - 8) = 0
x = -8 will be rejected because x is always positive. So, the value of x = 8/3.
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What is K/13 =0.6/0.5
math question down below
How do you write " Five less than the product of a number n and 26 is at least 8"
To write 'Five less than the product of a number n and 26 is at least 8', we can use an inequality to represent the given information.
Explanation:To write "Five less than the product of a number n and 26 is at least 8", we can use an inequality to represent the given information. The word "less than" suggests the use of the less than symbol '<'. 'Product' means multiplication, so we have n * 26. The word 'is' indicates the use of the equal sign '=', and 'at least' means greater than or equal to, so we use the greater than or equal to symbol '>='. Combining all the information, the equation becomes:
n * 26 - 5 >= 8
Using this equation, you can find the value of n that satisfies the inequality.
Use factor trees to find the GCF of 32, 24, and 40.