First, convert these two mixed fractions into improper fractions.
You can do that by following these steps:
Multiply the outside number by the number in the denominator
Add the product to the number in the numerator
5[tex]\frac{1}{4}[/tex] = [tex]\frac{21}{4}[/tex]
3[tex]\frac{7}{8}[/tex] = [tex]\frac{31}{8}[/tex]
Now, convert these fractions so that they share the same denominator. 4 and 8 share the same factor of 8. Multiply the numerator and denominator of [tex]\frac{21}{4}[/tex] by 2 so that the denominator becomes 8.
[tex]\frac{21}{4}[/tex] = [tex]\frac{42}{8}[/tex]
Now find how many inches of string each person has by using multiplication:
Sophie has [tex]\frac{42}{8}[/tex] × 5 = [tex]\frac{210}{8}[/tex] inches total
Cooper has [tex]\frac{31}{8}[/tex] × 4 = [tex]\frac{124}{8}[/tex] inches total
To find how much more inches Sophie has, subtract the two fraction from each other:
[tex]\frac{210}{8} - \frac{124}{8}[/tex] = [tex]\frac{86}{8}[/tex]
Simplify the fraction:
Sophie has 10[tex]\frac{6}{8}[/tex] or 10[tex]\frac{3}{4}[/tex] more inches than Cooper
-5/6,-4/3 which is greater
Answer:
-5/6
Step-by-step explanation:
To figure out which one is greater, we need to convert them so they have a common denominator:
You can do this two ways, because 6 is a multiple of 3, we can just multiply the second fraction by 2:
[tex]\frac{-4}{3} \\[/tex] x 2 = [tex]\frac{-8}{6} \\[/tex]
[tex]\frac{-5}{6}[/tex]
The second way is multiplying both the fractions so they have a common denominator.
[tex]\frac{-5}{6} = \frac{-15}{18}[/tex]
[tex]\frac{-4}{3} = \frac{-24}{18}[/tex]
Because the numbers are negative, -15 is the greater number.
Therefore, [tex]\frac{-5}{6}[/tex] is the greater fraction.
PLEASE HELP OMG THIS IS SO HARD
math problem can someone help me I'm having trouble with this someone tell me
Answer:
x-3
Step-by-step explanation:
x (x-3) (x^2-3x+4)
ㅇㅇㅇㅇㅇㅇ
can someone please help me asap, thank youu!!!
Answer:
2
Step-by-step explanation:
Apply Difference of Two Squares formula: [tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]:
[tex]\implies (3+\sqrt{7} )(3-\sqrt{7} )=3^2-(\sqrt{7} )^2[/tex]
[tex]=9 - 7[/tex]
[tex]=2[/tex]
can somebody help me with this please
Answer:
j = 120 degrees h = 142 degrees
Step-by-step explanation:
First we should solve for j since we can take the hexagon and solve for j using the equation (n - 2) times 180 divided by n. N represents the number of sides the figure has, in this case its a hexagon so there are 6 sides.
(6 - 2) times 180 = 720/6 j equals 120 degrees
Next we can begin to solve for h by noting that h and 38 degrees are supplementary angles. Therefore, h plus 38 degrees equals 180 degrees.
180 - 38 = h h equals 142 degrees
I hope this helps you out :)
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!! WILL GIVE BRAINLIEST IF RIGHT! 2 PPPL HAVE TO ANSWER FIRST
Answer: J
Step-by-step explanation:
[tex]log_2 24 - log_2 3 = log_2 (24/3) = log_2 8 = 3[/tex]
So [tex]log_5 x = 3 -> x=125[/tex]
Which of the following is the inverse of y=3*?
Answer:
The answer is :
the second one ( [tex]y=log{3} x[/tex] )
ERROR ANALYSIS Describe and correct the error in
graphing and comparing
y= x^2and y = 0.5x^2.
Answer:
I don't know the answer 1+1=2
Step-by-step explanation:
2=22+2
What is the mean of the group of numbers? 5, 8, 11, 12, 18, 0
Answer:
9
Step-by-step explanation:
The mean is calculated by adding up the scores and dividing the total by the number of scores.
A recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple jucie. which recipe will have the stronger pineapple taste?
Answer:
Jo's drink will have a stronger pineapple taste
Step-by-step explanation:
Jo's drink will have a stronger pineapple taste. Because it has more pineapple juice content.
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
It is given that, the recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple juice.
The recipe will have a stronger pineapple taste totally depending upon the volume of the pineapple juice.
Since Jo juice contains more pineapple juice content. it will have a stronger pineapple taste.
Thus, Jo's drink will have a stronger pineapple taste. Because it has more pineapple juice content.
Learn more about the density here:
brainly.com/question/952755
#SPJ5
can you simplify 5+3 (5) + (-4) (5)
simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.
______________
PEMDAS RULEP - ParenthesesE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction______________
[tex]\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)[/tex]
Follow our PEMDAS rule
[tex]5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0[/tex]
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0[/tex]
12men can clear a field in 5 days.How long would it take 15 men to clear the same field
Answer: 4 days
Step-by-step explanation:
We can divide to find how much of a field each man can clear in one day. Since it takes 12 men 5 days to clear a field, each man can clear 1/60th of a field each day.
If we multiply 15 men by 1/60th of a field per day, we see that the 15 men can clear 1/4th of a field each day, so it would take 4 days for them to clear the entire field.
HELPP!!! PLSS (ill give brainlyesttt
)
12y +32 ? Select one:
1. 6(2y+8)
2. 4(3y+9)
3. 6(3y+5)
4. 4(3y+8)
Answer: 4.
Step-by-step explanation:
Which answer is the explicit rule for the sequence 2, 9, 16, 23, 30 ...?
an=2−7n
an=2+7n
an=−5+7n
an=−5−7n
Answer:
an=−5+7n
Step-by-step explanation:
I took the same quiz, there is a screenshot provided with the correct answer.
Plz help I want the answer only plz help quickly.
Answer:
(5,2) is the correct and
Answer:
i think your answer is C
Step-by-step explanation:
Solve the system of equations by the substitution method.
5x+4y=38 x=5y−4
Answer:
Step-by-step explanation:
Because x=5y-4 you can substitute 5y-4 into the x in the other equation. This makes 5(5y-4) + 4y = 38. When simplified it gives 25y -20 +4y = 38. Move like terms to each side to get 29y = 58 and get y=2. Then you can substitute 2 into the y in either equation to find x. I will do x=5(2)-4 to get x=6. So x=6 and y=2
?
m∠ABD = m∠ABC
AB ≅ BC
B is the midpoint of DC.
m∠DBC = 90°
Answer:
50*
Step-by-step explanation:
Write the quadratic equation in standard form:
20-2x^2-5x=4
Answer: -2x^2 - 5x + 16 = 0
The correct answer is -2x^2 - 5x + 16 = 0.
Step-by-step explanation:
Hope this helps =)
What is the inverse of y=2x+5/2
Answer:
y=-2x-2.5
Step-by-step explanation:
The inverse of a number is the negative number.
please help i’ll give brainlist to anyone
Answer:
well i cant really tell so much though
Step-by-step explanation:
33) Given the graphs of f(x) = x - 1 and g(x) = -x - 7, what is the solution to the equation f(x) = g(x)?
A)-1
B) - 3
C) - 4
D) - 7
Answer:
B
Step-by-step explanation:
The solution is the point of intersection of the 2 lines
The lines intersect at (- 3, - 4 ), then
f(x) = g(x) has solution x = - 3
Find the magnitude of
the vector <5, - 3>.
A. 6.1
B. 5.2
C. 4
D. 5.8
Answer:
5.8
Step-by-step explanation:
[tex] \sqrt{ {5}^{2} } + \sqrt( { - 3}^{2} )[/tex]
[tex] \sqrt{25 + 9} [/tex]
[tex] \sqrt{34} [/tex]
5?8
Can the sides of a triangle have lengths 5, 14, and 19?
Answer:
No
Step-by-step explanation:
Add two sides together and see if it is greater than the third. (You have to do this with all possible combinations)
5 + 14 > 19
19 > 19
No, it isn't a triangle
14 + 19 > 5
23 > 5
19 + 5 > 14
24 > 14
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
17.026cm2
Step-by-step explanation
b = P - a - c - d = 25 - 4 - 12 - 7.325 = 1.675 cm then apply formula of area of trapezoid which is: A = (a + b) * h / 2 = (4 + 1.675) * 6 / 2 = 17.026 cm2. boom there is your answer.
The Medicare tax rate was 1.45% in 2016. Erick made $68,052 that year. How much money did he pay in Medicare tax in 2016?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{1.45\% of 68052}}{\left( \cfrac{1.45}{100} \right)68052}\implies 986.754~\hfill \stackrel{about}{\approx 986.76}[/tex]
Kathy keeps track of the number of baskets she makes while practicing her free throw shots. She finds that out of 18 tries, she makes 7 baskets. If Kathy’s trend continues, about how many baskets should she expect to make out of 60 tries? 18 baskets
The number of basket Kathy will make out of 60 tries is 23 basket.
She keeps track of the number of basket she makes while practicing her free throw shots.
She makes 7 baskets out of 18 tries.
Proportional relationship:This is when quantities have the same ratios. Therefore,
18 tries = 7 baskets
60 tries = ?
cross multiply
number of basket = 60 × 7 / 18
number of basket = 420 / 18
number of basket = 23.3333333333
number of basket = 23 basket.
learn more on proportion here: https://brainly.com/question/718362
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Mel: (2, 50) and (5, 35)
Victor: (1, 60) and (4, 50)
Mel’s rate of change is _. That means that her height in the air decreases _ feet every second.
Victor’s rate of change is _. That means that his height in the air decreases _ feet every second.
Answer:
Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
Since after 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air, while after 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air, to determine who was descending at a faster average rate and what is Mel's rate of change, the following calculations must be performed:
You must subtract the difference between the two times for each person, and check which is the highest rate between the two.
Mel =
(50 - 35) / (5 - 2) = X
15/3 = X
5 = X
Victor =
(60 - 50) / (4 - 1) = X
10/3 = X
3.33 = X
Therefore, Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
help guys, quick I really need help :)
6(2x+7)
Answer:
12x + 42Solution:
Simplify the distributive property and solve.
6(2x+7)=> (2x × 6) + (7 × 6) => 12x + 42Hence, the simplified expression is 12x + 42.
How long does it take a cheetah to run 10 miles at 30 miles/hr?
20 minutes 60minutes ÷ 30miles = 20minutes
What is the perimeter of a square who’s sides are ten units long?
Answer:
40 units
Step-by-step explanation:
The formula for the perimeter of a square is P= 4s
s= 10 units
so P= 4 x 10
so P= 40 unites
Answer:
Perimeter=40 units
Step-by-step explanation:
[tex]Solution,\\\\Length(l)=10units\\\\Now,\\\\Perimeter=4l\\\\Perimeter=4*10units\\\\Perimeter=40units[/tex]