Work Shown:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\\\26 = n(A) + 16 - 5\\\\26 = n(A) + 11\\\\n(A) + 11 = 26\\\\n(A) = 26-11\\\\n(A) = 15\\\\[/tex]
78 divided by 21?:-:
Answer:
3.7 or 3.71428571429
Step-by-step explanation:
:/
Answer:
3.714
Step-by-step explanation:
78/21 is 3.71428571429 but you can round that to 3.714
Scrooge invests $500. He found a bank that would pay him 4% interest, compounded monthly.
a) Type of exponential function.
b) Write a function to represent the situation.
c) If he deposits the whole $500 and does not deposit or withdraw any other amount, how much money would he have after 4 years?
The formula that can be used to determine the amount Scrooge would have in 4 years is: A(1 +r)^nm
A = Amount invested = $400
r = interest rate = 4/12 = 0,0333
n = number of years
m = number of compounding
$500(1.0333)^(12 x 4) = $586.60.
A similar question was solved here: https://brainly.com/question/15278974
Fred earns $45 mowing the lawn. He spends $5 on music and puts half of what's left in a savings account. He then gets another $5 for washing his neighbor's car.
First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
The total amount that Fred keeps (and does not put in his savings account) is $20
Total earnings of Fred = $45
Amount spent on music = $5
Amount remaining after spending on music = $40
Fred puts half of what's left in a savings account.
Total amount put in the savings account = 40/2
Total amount put in the savings account = $20
The total amount that Fred keeps (and does not put in his savings account) is $20
Learn more here: https://brainly.com/question/25698362
in what value of b makes y= 2x + b the same as y= 2x what does that value mean
Answer:
B = 0
Step-by-step explanation:
If you have y = 2x + b and are trying to get to y = 2x
Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.
Basing ourselves off of the formula "y = mx + b"
B = 0 would mean that the y-intercept of the line is 0
Answer:
0
Step-by-step explanation:
if y=2x and y=2x+b is the same then b must be 0.
2x+3=x+15
Help ASAP!
Answer:
x=12
Step by step explanation:
Let's solve your equation step-by-step.
2x+3=x+15
Step 1: Subtract x from both sides.
2x+3−x=x+15−x
x+3=15
Step 2: Subtract 3 from both sides.
x+3−3=15−3
x=12
Therefore,the answer is=>x=12
70=x+16? Show how to do
3) Which graph best represents the solution set of
of 2/3x + y <_ -2?
Answer:
D
Step-by-step explanation:
since it's <_ -2, everything will be left of -2 on the x axis
Please help me with this answer
Answer:
[tex]n = \frac{53}{79}[/tex]
Step-by-step explanation:
79 : 53
divide by 79 on both sides
[tex]1 : \frac{53}{79}[/tex]
[tex]n = \frac{53}{79}[/tex]
Answer: 1 : 1.49
Step-by-step explanation:
the starting Ratio was= 79 : 53
now its 1 : ?
The first number was divided by 79 so we divide the other number by 79.
1 : 53 is now
1 : 1.49 (This is rounded to the 2d.p since the question asked for it)
If AZ = 85 ZE=51 find Bc
Solve.
−3 2/3x = −2 1/5
Answer:
1 2/3
Step-by-step explanation:
You divide -3 2/3x to -2 1/5 and you will get 1 2/3
Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
Prove that: Triangle AED = Triangle CFD
Answer:
Step-by-step explanation:
Side-Angle-Side postulate (SAS)
There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given question,
D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
In ΔAED and ΔCFD,
Side DE = Side DF
m∠EDA = m∠FDC
Side AE= Side FC
According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, both triangles are congruent.
Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
Who ever solve this first I will give Brainliest to them
Answer:
9
Step-by-step explanation:
In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense
Write 5/6% as a decimal number.
Answer: 5/6 as a decimal is 0.833
Step-by-step explanation:
just divide 5 by 6
given the quadratic function, find the x value of the vertex of y=x2=4x-8
Answer:
27x^2−9y^2=81
4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128
Answer:
B
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x/4 = 32/4
4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8
Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
7,433,654 rounded to the nearest 100
Please please help please help me help help me please help me
Answer:
m = 6
Step-by-step explanation:
m = 9-3 / 1 - 0
m = 6/1
Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)
Answer: 3/8
Step-by-step explanation: We don't know how many votes are there for the class secretary.
Please help me out with this question and please explain with steps
Answer:
6m²-m²+5m-1
Step-by-step explanation:
Polynomial 1 = m³ + 3m² - 18m
Polynomial 2 = 23m - 4m²
Polynomial 3 = 5m³ - 1
(m³+3m²-18m)+(23m-4m²)+(5m³-1)
When adding polynomials, you'll add like terms.
(m³+5m³)+(3m²-4m²)+(-18m+23m)+(-1)
(6m³)+(-m²)+(5m)+(-1)
6m³-m²+5m-1
Hello can someone please help me with this
Answer:
C) 1
Step-by-step explanation:
Its the closest to 1.04
A trader saved $200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at the end of 3years
Answer:
i).272
ii. (2x-1) (3y+2)
b). 14,400 seconds
Step-by-step explanation:
in pic
(Hope this helps can I pls have brainlist (crown)☺️)
Cariyah placed $2000 into a savings account with 3.5% interest, compounded annually. Write Cariyah's total savings S(t) as a function of time in years, t.
S(t) =
Answer:
450
Step-by-step explanation:
Mrs. King's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
(-1/9) ÷ 6/7 =
Help
Me
Pls
:)
Answer:
I believe your answer is -7/54
Answer: -0.129
Step-by-step explanation:
Marie uses 2.3 oz of nuts for each bag of trail mix she makes. She uses 27.6 oz of nuts in all.
How many bags of trail mix does Marie make?
Enter your answer in the box.
bags
Answer: 27.6/2.3 = 12 bags of trail mix
Step-by-step explanation: Hope this helps :)
5. En el banco, Brent cambia $50 en billetes por
50 monedas de un dólar. La masa total de las
monedas pesa 405 gramos. Estima la masa de
1 moneda de un dólar.
Answer:
8.1 g
Step-by-step explanation:
405 g ÷ 50 = 405 ÷ (100/2) = 405 × 2/100 = 810/100 = 8.1
8.1 g
tom drives a truck his regular trip is a distance of 280km.he drives at an average speed of 80km/h.for saftey reason his boss puts a speed limit on his trucktoms average speed by 10km/h
how much longer will it takes tom to drive this regular trip
Answer:
Step-by-step explanation:
280 / (80 - 10) - 280 / 80 = 0.5 hr longer
In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.
Answer:
CE = 7.2
Step-by-step explanation:
Area = 1/2bh
6 = 1/2 (b)(4)
6 = 2b
3 = b b represent AB, so BC and CD is 3 unit also
Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x
The figure is a right triangle so you know that a² + b² = c²
4² + 6² = x²
16 + 36 = x²
52 = x²
[tex]\sqrt{52 }[/tex] = x
7.211 ≈ 7.2 = CE
what is the volume of the cone if the volume of the cylinder is 51L.
Answer:
17L
Step-by-step explanation:
Volume of cone = 1/3(Volume of cylinder )
= 1/3 * 51L
= 17L
