Answer:
[tex]-2\frac{7}{20}[/tex]
Step-by-step explanation:
Given the following question:
[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
To find the answer we first need to convert the mixed numbers into improper fractions, find the common denominator, subtract the denominators, and of course convert the improper fraction back into a mixed number.
[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
[tex]3\frac{2}{5}=5\times3=15+2=17=\frac{17}{5}[/tex]
[tex]5\frac{3}{4} =4\times5=20+3=23=\frac{23}{4}[/tex]
[tex]\frac{17}{5} -\frac{23}{4}[/tex]
Find the common denominator:
[tex]CD=20[/tex]
[tex]\frac{17}{5} \times4=\frac{68}{20}[/tex]
[tex]\frac{23}{4} \times5=\frac{115}{20}[/tex]
[tex]\frac{68}{20} -\frac{115}{20}[/tex]
[tex]68-115=-47=-\frac{47}{20}[/tex]
[tex]=-\frac{47}{20}[/tex]
Convert the improper fraction into a mixed number:
[tex]-\frac{48}{20}[/tex]
[tex]-\frac{47}{20} =47\div20=-2\frac{7}{20}[/tex]
[tex]=-2\frac{7}{20}[/tex]
Your answer is "-2 7/20."
Hope this helps.
[tex]2\frac{7}{20}[/tex] is the mixed number we get by subtracting [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex].
To subtract [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex], we first need to convert both mixed numbers to improper fractions.
[tex]5\frac{3}{4}[/tex] = (4 × 5 + 3) / 4 = 23/4
[tex]3\frac{2}{5}[/tex] = (5 × 3 + 2) / 5 = 17/5
Now we can subtract the two fractions:
23/4 - 17/5
To subtract fractions, we need to have a common denominator.
The common denominator for 4 and 5 is 20.
We'll convert both fractions to have a denominator of 20:
23/4 = (23 × 5) / (4 × 5) = 115/20
17/5 = (17 × 4) / (5 × 4) = 68/20
Now we can subtract the fractions:
115/20 - 68/20
= (115 - 68) / 20
= 47/20
=[tex]2\frac{7}{20}[/tex]
To learn more on Fractions click:
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suppose f(x)=2x-5,g(x)=-3-1,and h(x) =2x2+x-7 calculate f(-7)
Answer:
f(-7) = -19
Step-by-step explanation:
Let us solve the problem
∵ f(x) = 2x - 5
∵ g(x) = -3x - 1
∵ h(x) = 2x² + x - 7
→ We need to find f(-7), that means substitute x in f(x) by -7
∵ x in f(x) = -7
∵ f(x) = 2x - 5
∴ f(-7) = 2(-7) - 5
→ Calculate 2 × (-7)
∴ f(-7) = -14 - 5
→ Add them
∴ f(-7) = -19
She brought 10 ounces of spicy popcorn for 2.50 . Which two equations represent this situation .
Answer: uhh
Step-by-step explanation:
2. trikes
entre los 6 y los 12 años un niño crece, en promedio, 5cm por año. Si a los 6 años Francisco media 0.96 m ¿cuanto medira a los 10½?
Answer: 10.50
Explain:
Egg
It’s timed please help
3.2b-4.7b=3b-3.3
What dose b equal
Answer:
b=0.733333
Step-by-step explanation:
some help please
don't pass
angle q and angle are a complementary angles. angle s and r are vertical angles. angle q is 38 degrees. what is angle s
Step-by-step explanation:
Angles q and r are complementary, so the measure of angle r is 90-38=52 degrees.
Since angles s and r are vertical angles, they are congruent, so angle s measures 52 degrees.
4a + 3a Please solve I will give brainliest to first answer!
Answer:
7a
Step-by-step explanation:
ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38.
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Vertical angles are congruent, so ...
∠E = ∠F
8x +8 = 2x +38
6x = 30 . . . . . . . . . subtract (2x+8)
x = 5 . . . . . . . . . . . divide by 6
Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5
If the circumference of a circle is 25.12 feet, what is the area of the circle?
12x - 32 - 2x + 68
None of the answers match
Answer:
10x=36
Step-by-step explanation:
I don’t understand this. The number line question the first one.
Answer:
-2 + 5 = 3
Step-by-step explanation:
The arrow represents an addition, you start with -2 and add 5, so you end up at +3.
X-7=8 what is the answer?
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
A radio station gave away 184 tickets to a concert. They gave away 3 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
A.
92 tickets
B.
138 tickets
C.
74 tickets
D.
46 tickets
Answer:
D
Step-by-step explanation:
total=184 tickets
listeners= x tickets
employees=y tickets
184=x+y
x=3y
plug x into the first equation.
184=3y+y
184=4y
184/4=46
y=46
now plug y into the second equation
x=3(46)
x=138
the listeners got 138 tickets, and the employees got 46 tickets.
Select the correct answer.
Which function is represented by this graph?
A.
f(x) = -|x − 1| + 8
B.
f(x) = -|x − 8| + 1
C.
f(x) = -|x + 8| − 1
D.
f(x) = -|x + 1| − 8
Answer:
C. They have the same y-intercept and the same end behavior as x approaches ∞
Step-by-step explanation:
The Choir Booster Club had a budget of $1,500 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $956.77
B. $856.73
C. $656.77
D. $665.77
Answer:
$656.77 C
Step-by-step explanation:
$1,500-$225.30-$482.25-$135.68=
$656.77
Answer:
i think the anser is c
Step-by-step explanation:
Subtract.
3/4 - 6/12
Answer:1/4
hope this helps
Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 3 by 12, and get 36.
Then we multiply 6 by 4, and get 24.
Next we give both terms new denominators -- 4 × 12 = 48.
So now our fractions look like this:
36/48 − 24/48
Step 2
Since our denominators match, we can subtract the numerators.
36 − 24 = 12
So the answer is:12/48
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
12/48÷ 2 =6/24
Let's try dividing by 2 again
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
6/24÷ 2 =3/12
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4
Let's try dividing by 3 again
No good. 3 is larger than 1. So we're done reducing.
There you have it! The final answer is:
3/4−6/12=1/4
Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?
eight twelfths of a mile
six twelfths of a mile
four twelfths of a mile
two twelfths of a mile
Answer:
two twelfths of a mile.
Step-by-step explanation:
4/12 - 2/12 = 2/12
Write the expression [tex]sin(sin^-1 (\sqrt{3} / 2) - tan^-1 (x)[/tex] as an algebraic expression involving no trigonometric functions. You don’t need to rationalize the denominator.
Answer:
Step-by-step explanation:
[tex]let~sin ^{-1}(\sqrt{3} /2)=y\\sin y=\sqrt{3} /2=sin ~(\pi /3),sin (\pi -\pi /3)\\y=\pi /3,2 \pi /3[/tex]
[tex]sin ^{-1}(\sqrt{3} /2)=\pi /3,2\pi /3[/tex]
your question is not clear.
.. What part of the frontliners are doctors? nurses?
Answer:
to me both
Step-by-step explanation:
because the two of them is working in hospital
Slope worksheet. Please help!!!
Answer:
1) 1/3
2) -1
3) 5/2
Step-by-step explanation:
rise
_____
run
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.
Write and solve an inequality which can be used to determine dd, the number of days Violet can afford to rent while staying within her budget.
Answer:
The written inequality can be written as 0.12x + 25 <= 150.
Step-by-step explanation:
To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.
How do u work out 65% of 8700
Step-by-step explanation:
please mark me as brainlest
What should be avoided when writing a summary? Select the two correct answers.
Answer:
plagiarizer, and option
Step-by-step explanation:
Answer:
Giving unnecessary details.
Starting a sentence with because
Using run-on sentence.
Step-by-step explanation:
Any of them are technically accurate.
I hope that helped. :)
What is the exact definition of the Pythagorean Theorem and who invented it.
Answer:
Pythagoras invented it
Step-by-step explanation:
a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
#1 What is the volume of a cube with a side length of 1/2 cm? -
Answer:
Volume of the cube = (1/2)^3 = (1/8) cubic inch
Hope it helps!!!Brainliest pls!!!pls help :) I will do anything
Answer:
D. 5
Step-by-step explanation:
I see you plugged in 2 for x :)
So now you have 1/2 (4) +3
Half of 4 is 2. So 2+3 = 5
An event organiser is filling some party bags for a children's party. Each bag contains sweets, stickers and crayons. 40% of the items are stickers. The ratio of sweets to crayons is 5:3 The event organiser uses 150 sweets in total. She fills 10 party bags. How many stickers does she put in each bag?
Answer: 16 stickers
Step-by-step explanation:
The ratio of sweets to crayons is 5:3
we know she is using 150 sweets.
so if 5 = 150, then 3 = 90.
We know there are 90 crayons and 150 sweets.
So there are a total of 240 non-sticker items
If 60% = 240, then 40% = 160
Now we know that there are 150 sweets, 90 crayons, and 160 stickers.
If she is filling 10 bags, then there are 15 sweets, 9 crayons, and 16 stickers in each.
So there are 16 stickers/bag.
what is the slope-intercept equation of the line below?
Answer:
Are A and B the only possible answers u are given?
Please help me please
Answer:
J(-2,8)
Step-by-step explanation:
Find the rule. Solve for n.
Х
8,9,11,14
Y
10,12,16,n
Rule:
Answer:
rule: y = 2x -6n = 22Step-by-step explanation:
We can look at the ratios of differences between x and y values to determine the nature of the sequence.
x-differences
9 -8 = 1; 11 -9 = 2;
y-differences
12 -10 = 2; 16 -12 = 4;
__
The ratios Δy/Δx are 2/1 = 2 and 4/2 = 2. That is, the points lie on a straight line with slope Δy/Δx = 2.
The y-intercept of the line can be found using the formula ...
b = y -mx
b = 10 -2(8) = -6 . . . . for (x, y) = (8, 10)
So, the rule relating x and y is ...
y = 2x -6
The value of n is ...
n = 2(14) -6 = 22