Given:
The complex fraction is
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]
Esmerelda simplified a complex fraction and steps are given.
To find:
The mistake of Esmerelda.
Solution:
We have,
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]
Convert the mixed fraction in improper fraction.
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{5\times 4+1}{4}}{\dfrac{3}{2}}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{20+1}{4}}{\dfrac{3}{2}}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{21}{4}}{\dfrac{3}{2}}[/tex]
Use the reciprocal of the divisor.
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21}{4}\times \dfrac{2}{3}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21\times 2}{4\times 3}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{42}{12}[/tex]
[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{7}{2}[/tex]
Therefore, the correct value of given fraction is [tex]-\dfrac{7}{2}[/tex].
Three mistakes of Esmerelda are:
1. Esmerelda added the numerators.
2. Esmerelda added the denominators.
3. Esmerelda did not use the reciprocal of the divisor.
Answer:
B,C,E
Step-by-step explanation:
Get help
☺ Krutika was thinking of a number. Krutika divides by 7, then adds 8 to get an answer of 5. What
was the original number?
O Report an
® Quit asses
Answer:
-21
Step-by-step explanation:
I used the backward method
She adds 8 to get 5.
So we start with 5 and subtract 8
5-8 = -3
She divides by 7 but since we are using the backwards method, we have to multiply.
-3*7= -21
After that, we can check our answer
Krutika was thinking of -21
-21/7= -3
-3+8= 5
-21 is the answer
Hope this helps!
Answer:
x=−0.4285714286
Step-by-step explanation:
(x÷7)+8=5
x/7=5-8
x=(5-8)/7
x=−0.4285714286
Given g(c) = f(x) + k, enter the value for k that transforms the function f into g?
k =
Translation involves changing the position of a shape or line or point.
The value of k is -3
The given parameter is:
[tex]\mathbf{g(x) = f(x) + k}[/tex]
From the attached graph, we can see that the line of f(x) is shifted down by 3 units to form g(x).
This means that:
[tex]\mathbf{g(x) = f(x) - 3}[/tex]
By comparing: [tex]\mathbf{g(x) = f(x) - 3}[/tex] and [tex]\mathbf{g(x) = f(x) + k}[/tex]
We have:
[tex]\mathbf{k = -3}[/tex]
Hence, the value of k is -3
Read more about translations at:
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Suppose that under your health insurance policy, hospital expenses are subject to a $750 deductible and $150 per day copay. You get sick and are hospitalized for 4 days, and the bill (after your insurance discounts are applied) comes to $6,250. How much of that hospital bill will you have to pay yourself?
Answer:
$4900
Step-by-step explanation:
It is given that,
According to health insurance policy, hospital expenses are subject to a $750 deductible and $150 per day copay.
If a person hospitalized for 4 days, it would mean that charges will be ($150 × 4 = $600 per day).
Total amount given by insurance policy = $750 + $600 = $1350
The bill for 4 days come out to be $6,250.
The person have to pay ($6,250-$1350) = $4900 itself.
here's this idk its math ig
Answer:
this is why you pay attention in school kids.
Step-by-step explanation:
any ways i never learned how to do long division but the answer is a decimal
Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
Please hurry
Answer:
2 pounds = 0.9072 kilograms
Step-by-step explanation:
Answer:
it is b
Step-by-step explanation:
find angle b show your work
Answer:
42°
Step-by-step explanation:
The angle measure of 295° just means we are working with a circle.
A circle totals to 360°.
If we add what we are given; 295 + 23 = 318°
We have the total angle measure we are given and "b" which we need to solve.
We can subtract 360 by what we are given to find angle "b"
360 - 318 = 42°
Best of Luck!
Evaluate the expression when a = 6, b = 3 and c = 2:
2(a + b) – c = ______?
Answer:
16
Step-by-step explanation:
2(6+3)-2 = 2(9)-2 = 18-2 = 16
PT= 3x+7 and TQ=5x-7
HELPPPP!!! pleaseeeeee Describe the transformation of F(x)=x2 represented by g
Answer:g(x)=x-2+2
Step-by-step explanation:
Kid
fill in the blank to make the equation have infinite solutions
0.01(450x+900)=___x+9
the sides of a triangle measure 3√6 2√24 7√54 what is the perimeter of the triangle
Answer:
Step-by-step explanation:
3*√6 + 2√24 + 7√54= P
3√6 + 2√2*2*6 + 7√3*3*6
3√6 + 2*2√6+7*3√6
3√6 + 4√6 + 21√6
28√6 = the perimeter.
Write the number in expanded form: Three hundred twenty-six thousand, five hundred eight and nine hundredths?
Answer: 300,000 + 20,000 + 6,000 + 500 + 8 + 0.09
The required expanded form of three hundred twenty-six thousand, five hundred eight and nine hundredths, 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.
Given that,
To determine the expanded form: Three hundred twenty-six thousand, five hundred eight and nine hundredths.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Three hundred twenty-six thousand, five hundred eight and nine hundredths = 326580.09
The expanded form of a number is the sum of the digit with the intrinsic value of the digit placed in the number,
Expanded form = 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.
Thus, the required expanded form of three hundred twenty-six thousand, five hundred eight and nine hundredths, 300,000 + 20,000 + 6,000 + 500 + 80 + 0.09.
Learn more about the number system here:
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2 MULTIPLE CHOICE EASY!! In July, Ariel recorded the height of a pine tree and how quickly it was expected to grow in the next several months.
1. 14$ or 12$ ??
2. $4.50 or $5.50
3.
Y= 4.5X + 22
or
Y= 4.5X +12
Answer:
3
Step-by-step explanation:!!
2. Every month, Jenny and Gopal ________ the orphanages in China. They have been to five orphanages so far.
(A) visit (B) visits (C) visited (D) visiting
3. It has not been raining ________ yesterday.
(A) after (B) since (C) when (D) before
4. A pride of peacocks ________ showing off their lovely feathers now.
(A) is (B) are (C) was (D) were
5. Every cent ________, so we should spend our money wisely.
(A) count (B) counts (C) counted (D) counting
6. We are always reminded to visit the dentist twice a year, so I visit my dentist ________.
(A) weekly (B) monthly (C) annually (D) biannually
7. The news that you heard ________ broadcast on television last night.
(A) is (B) are (C) was (D) were
8. Rita was sleeping ________ I arrived at her apartment.
(A) as (B) when (C) while (D) since
9. “There is a knock on the door. Who can be calling ________ us at this late hour?” Mother wondered.
(A) to (B) at (C) on (D) upon
10. My parents ________ going on a one week cruise to Thailand.
(A) is (B) am (C) are (D) was
Y + 2 = 1/2(x+2) wht is the awnser
What is the selling price of a $610 couch with a 25% markup?
a. $152.5b. $762.5c. $457.5d. $798.5
pls answer quickly ! :(
Answer:
762.5
Step-by-step explanation:
25% of 610 is 152.5 and 610 + 152.5 is 762.5
Hope this helped also can i get brainliest?
if 16+4=20 does 16+4-4=20-4? why or why not
Answer:
yes
Step-by-step explanation:
it does because they har a triangle of numbers
What is the inverse of the function y - 2 = 3x?
Answer:
I think the answer is y=[tex]\frac{x-2}{3}[/tex]
Step-by-step explanation:
need help asap how do you right this in number form?
the sum of two-thirds of a number and twenty
Answer:
the answer is
2/3+20 so give me brainliest
If the value the discriminant is exactly 0, what is true about the graph of the quadratic equation?
The truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
When discriminant D of a quadratic equation,
D = 0
Roots are equal and real
D > 0
Roots are real and different
D < 0
Roots have not existed.
When the discriminant is zero, there is only one real root to the quadratic equation. In other words, only the vertex of the parabola connects the x-axis. The vertex is the parabola's base.
Therefore, the truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.
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which integers between square 30 and square 40
[tex]\sqrt{x}[/tex]
Answer:
6
Step-by-step explanation:
The only integer whose square is between 30 and 40 is 6.
30 < x^2 < 40.
math question please help!!!
Answer:
i think it c
Step-by-step explanation:
sorry if i wrong
a = 6, b = 3 and c = 2:
2(a + b) – c = ______
Answer: 16
Step-by-step explanation:
2(6+3)-2
12+6-2
18-2
16
Bruno uses a piece of wrapping paper with dimensions 1 and one-fourth feet by 3 feet to wrap a gift. What is the total area of the paper used to wrap the gift?
Answer:
Its 3 3/4 or D
Step-by-step explanation:
Just in case you didn’t understand answer above
6x-4 and 6(x-4) *
A: Yes, they are equivalent
B: No, they're not equivalent
Answer:
yes they are equivalent
Please help ILL MARK BRAINLIEST(17 points too)
Please don’t just answer something random to get points that’s mean:(
Answer:
5, 10, 15, 20, 25, 30
6, 12, 18, 24, 30
Answer: 30
3, 6, 9, 12, 15, 18, 21, 24
24
Answer: 24
14, 28
4, 8, 12, 16, 20, 24, 28, 32
Answer: 28
Hoped it helped :)
can someone pls help with this brainliest gets answer
Answer:
1. True; 10, 20, 50, 100, 1210 are all divisible by 10.
2. True; prime numbers: 2, 3, 5, 7, 11, 13. Only 2 is even.
3. False; 144 is a perfect square and has 15 factors.
4. False; x = 9 in this equation, so x = 4 is false.
If a translation is described as (x -5, y), how has the original image changed?
Answer:
It moves the x value 5 units to the left.
Step-by-step explanation:
"x - 5" means that we are subtracting 5 to whatever x value we are given. The "y" value doesn't change.
Since we are subtracting to the x value, we are going to move left 5 units.
Let's say we had the point (5, 5).
If we use the translation rule;
(5 - 5, 5)
(0, 5)
We moved the x value 5 units to the left.
Best of Luck!
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White
6 9 12
Yellow 5 10
20
3
15
15
25
White
Hector's Flower Arrangements
4
8 12 16
6 10 14 18
20
Yellow
22
Part A
Are the numbers of white and yellow flowers in Cara's arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
А.
В.
C. No: y = 3 + 5w
D. No: y = 5+ 3w
00.00
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A
Yes, e
Answer:
Part A - Yes; y=5/3w Part B - No; e=h+2
Step-by-step explanation:
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara’s Flower Arrangements Proportional
White 3 6 9 12 15
Yellow 5 10 15 20 25
Hector’s Flower Arrangements Not Proportional
White 4 8 12 16 20
Yellow 6 10 14 18 22
Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
Yes; y=3/5w
Yes; y=5/3w CORRECT ANSWER
No; y=3w+5w
No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional?
Which equation relates the number of white flowers, h, to the number of yellow flowers, e?
Yes; e=3/2h
Yes; e=2/3h
No; e=h+2 CORRECT ANSWER
No; e=h−2
They are correct because Part A is 1.666667 thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.
Following are the solution to the given question:
Using the proportionate connection theory to model these two tables, we may conclude the first table is proportionate whereas the second is not.Clara's configuration:[tex]\bold{White (w) }\\\\\bold{Yellow (y)}[/tex]
To determine whether a relationship is proportionate, perform the following tests:[tex]\bold{y = kw } \\\\\bold{5 = 3k}[/tex]
Yes, there seems to be a proportional relationship. Hector's set-up is as follows:[tex]\bold{White (h) }\\\\\bold{Yellow (e)}\\\\[/tex]
The number of yellow flowers always out-numbers the number of white blooms by a factor of 2. As a result, the relationship could be modeled as follows;[tex]\to \bold{e = h + 2}[/tex]
As a result, the relationship is not proportionate.Learn more:
brainly.com/question/18297651
Marcus is making homemade barbecue sauce.The recipe caps for 3 cups of ketchup for every 1/2 cup of mustard
Answer:
3 divided by 1/2
Step-by-step explanation:
turn 3 into 3/1 then flip 1/2 into 2/1 and multiply which is 6
Kcf
Keep
Change
Flip