Answer:
1,800
Step-by-step explanation:
divide 1,000 by 6.25 and we get
160 then we multiply 160 by 5 and we
get 800 so Bill's Bill's bank account will be worth
1,800 in 5 years
huilan is 5 years older than Thomas. The sum of their ages is 103. What is thomas's age
Answer:
49 years old
Step-by-step explanation:
x + x + 5 = 103
2x + 5 = 103
2x = 98
x = 49
Answer:
Step-by-step explanation:
Thomas is 49 huilan is 54
a line that separates the plane into two regions
Answer:
Two-Half Planes. Or, You can Call it a Boundary line.
Step-by-step explanation:
Answer:
half-planes or boundary region
Step-by-step explanation:
58 + 18 =
78-58=
335+415
Answer:
78
20
750
Step-by-step explanation:
Choose the number below that represents the digit in the hundreds place of the number 365
Answer:
it's three hope it helps
Step-by-step explanation:
I RESLLY NEED THIS NOW
The simple interest owed on a loan of $5,600 after 4 years is $1,008. What percent
represents the annual interest rate on the loan? Record your answer on the grid.
In the first year of a 10,000 investment the interest rate was 6%. All earned interest remained invested for the second year, and the interest rate increased to 7%. What was the percent increase of the entire investment after two years?
Answer:
13.4%
Step-by-step explanation:
First year:
$10,000*6% = $600
New balance = $10,600
Second Year:
$10,600*7% = $742
$10,600+ $742 = $11,342
Total Return:
Final Balance - Initial balance
$11,342 - $10,000 = $1,342
$10,000*x ÷ $1,342
x = $1,342/$10,000
x = 0.1342
0.134 = 13.4%
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Angle measures
Length
Orientation
Shape
Size
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycle? Round your answer to two decimal places, if needed.
Answer:
17 mphStep-by-step explanation:
Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speedSubstitute values and solve for r the equation of the time difference:
68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17Raul's speed is 17 mph
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:let's the speed of Raul be x
likewise
Miguel can drive 4 times as fast as Raul can ride his bicycle
therefore
4x
according to the question
[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]
[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]
[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]
[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]
[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]
[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]
The Rileys are buying a home that costs $250,000. They are paying 3% in closing costs and 12% for a down payment. Complete the statement. The Rileys will pay a total of in costs for the closing costs and down payment on their mortgage.
Answer:
37,500 and non recurring
Step-by-step explanation:
The Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Rileys are buying a home that costs $250,000.
12% for a down payment
So, down payment is
12% of 250,000
= 12/100 ×250,000
= 12×2500
= $30,000
They are paying 3% in closing costs
3% of 250,000
= 3/100×250,000
= $7,500
Therefore, the Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
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geometry please help :( so stuck in this topic
Answer:
a (6,-3)
b (9,0)
c (5,1)
Step-by-step explanation:
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
To raise the amount of $500 each member has to raise $50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
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 the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
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pls help due in one min
Daniel hiked
4
5
8
miles on Saturday and
4
1
2
miles on Sunday. How many miles did he hike in all?
A.
8
3
5
miles
B.
8
3
4
miles
C.
9
1
8
miles
D.
9
1
2
miles
Answer:
the answer isnt on there it would be 870 miles
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
what does m represent in the equation y = mx+b?
Answer:
In the equation y = mx + b for a straight line, the number m is called the slope of the line
Step-by-step explanation:
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
-5.2k+2.9 =-12k+30.1
Please show work !
answer: 3.8857
explanation:
Simplifying
-5k + 2.9 = -12k + 30.1
Reorder the terms:
2.9 + -5k = -12k + 30.1
Reorder the terms:
2.9 + -5k = 30.1 + -12k
Solving
2.9 + -5k = 30.1 + -12k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '12k' to each side of the equation.
2.9 + -5k + 12k = 30.1 + -12k + 12k
Combine like terms: -5k + 12k = 7k
2.9 + 7k = 30.1 + -12k + 12k
Combine like terms: -12k + 12k = 0
2.9 + 7k = 30.1 + 0
2.9 + 7k = 30.1
Add '-2.9' to each side of the equation.
2.9 + -2.9 + 7k = 30.1 + -2.9
Combine like terms: 2.9 + -2.9 = 0.0
0.0 + 7k = 30.1 + -2.9
7k = 30.1 + -2.9
Combine like terms: 30.1 + -2.9 = 27.2
7k = 27.2
Divide each side by '7'.
k = 3.885714286
Simplifying
k = 3.885714286
hope this helped;))))
if Sin 3x= Cos (x-60), find the value of x
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
.4^3Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety. Suppose grafts are done one at a time. A graft fails with probability 0.4, independently of the others. Given there were no failed grafts in the first seven done, what is the probability that there will be at least one failed graft in the next three done
Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-7x + 6 = 27
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21[Division Property of Equality] Divide -7 on both sides: x = -3What are the next three terms in the sequence 4,8,12,16?
Answer:
20,24,28
Step-by-step explanation:
It is increasing by 4 each time
Mark me brainliest please :)
Answer:
20, 24, 28
Step-by-step explanation:
yeah
The diagonal of a square has length 14 find the length of a side
Answer:
14
Step-by-step explanation:
because all diagonals are of the same lenght
I need help FAST!!!!
Answer:
Step-by-step explanation:
okay, so here are a few methods you can use.
___
1) +
x + 7 = 10 so because this is addition we use the reverse, subtraction. So
x - 7 = 10 - 7 and that equals to 3.
2) -
x - 2 = 10 so because this is subtraction we do the reverse, addition.
x + 2 = 10 + 2 and that equals to 12.
3) x
x times 3 = 21 because this is multiplying we divide.
x/3 = 21/3 and that would be 7.
4) /
x/2 = 10 same as above, reverse is multiplying.
x times 2 = 10 times 2 and thats 20.
GL!
John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
Write the exponent for 4^? = 64 What number is the question mark? *
. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?
write 7% as a Vulgar fraction
Answer:
7/100
Step-by-step explanation:
This is literally what the percent sign means: "per hundred".
the square root of a number increased by 9 is 27 find the number
Answer:
4.24264
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I don't know how to explain. •-• Sorry!
Simplify completely''''
Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]Is anyone smart enough to answer this correctly?
Answer:
C. 55 square centimetre
Step-by-step explanation:
Area of the triangle on the top= 1/2 * 2 * 3 cm^2
= 3 cm^2
Area of the rectangle in between= 8 * 2 cm^2
= 16 cm^2
Area of the parallelogram at the bottom
= 12 * 3 cm^2
= 36 cm^2
Therefore, Area of the figure
= (3+16+36) cm^3
= 55cm^2
Hope you got the answer ☺️
Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.
Answer:
The number of 5-inch cuts if duct tape remainding is 14.
Step-by-step explanation:
1. 96 - 22.5 = 73.5
2. 73.5/5 = 14.7
3. .7 isnt a full piece of tape, so he has 14 5inch tapes
Which of the following decimals is equivalent to three and ten hundredths
Answer: 3.1 or 3.10
Step-by-step explanation:
3 and 10 hundredths = 3 + 10/100 = 3 + 0.10
3.10 / 3.1