Answers
Answer:
D (12, 21); B (11, 17); C (18,28); D (42); C (8).
Step-by-step explanation:
First:
Let I represent Isabel and M represent Marie.
We know that currently, Isabel is 9 years older than Marie, or:
I=9+M.
In three years, Isabel will be six years less than twice of Marie's age. In other words:
(I+3)= 2(M+3)-6
Now solve. Substitute I.
(9+M+3)=2M+6-6
12+M=2M
M=12; I=21. Marie is 12 while Isabel is 21.
Second:
Let I represent Isabel and M represent Marie.
Isabel is 6 years older than Marie; in other words: I=6+M
In 4 years, Isabel will be 9 years less than twice Marie's age. Or:
(I+4)=2(M+4)-9
Solve. Substitute I.
(6+M+4)=2(M+4)-9
10+M=2M+8-9
10+M=2M-1
11=M; I=17; Marie is 11 while Isabel is 17.
Third:
Let I represent Isabel and M represent Marie.
Isabel is 10 years older than Marie, or: I=10+M
In 2 years, twice Isabel's age is three times Marie's age. Or:
2(I+2)=3(M+2)
Solve. Substitute for I.
2(10+M+2)=3(M+2)
24+2M=3M+6
18=M; I=28. Marie is 18 while Isabel is 28.
Fourth:
Let M represent Mary and A represent Ann.
Mary is 3 time as old as Ann. Or: M=3A
7 years ago Mary was 5 times as old as Ann. In other words:
(M-7)=5(A-7)
Solve for this system. Substitute M.
(3A-7)=5A-35
-2A=-28
A=14; M=42; Mary is 42.
Fifth:
Let T represent Tammy and L represent Laurel.
We know that Tammy is 42 while Laurel is 9. In other words:
T=42 and L=9.
We need to find in how many years will 3 times Laurel's age be 1 more than Tammy's age. In other words, let's let y represent the amount of years. Thus:
3(L+y)=(T+y)+1
We already know L and T:
3(9+y)=(42+y)+1
27+3y=43+y
2y=16
y=8
In 8 years, when Laurel is 17 and Tammy is 50. (3 times 17 is 51, one more than 50).
Step-by-step explanation:
Problem 1 :Since we have the answers no need to write an equation and solve it
4 and 13 : substract 3 from each : 1 , 10 so Isabel is really 9 years older than Marie add 3 : 7 and 16 16+6 = 21 = 7*3 so that's rightthe answer is A
Problem 2 : 11 and 17 17 -11 = 6 so that's right add 4 to each : 17+4 = 21 11+4= 15 21+9 = 30= 15*2 so that's rightb is the answer
Problem 3 : 18 and 28 28-18= 10 so it's a good choice add 2 : 30 and 20 30*2= 60 and 20*3 = 60so that's true !C is the answer
Problem 4 : here i have a method let x be the age of Marie and y the age of Ann Mary is 3 times as old as Ann so : x = 3y 7 years ago Mary was 5 times as old as An so x-7 = 5(y-7) solve the equations and you'll get y= 14 so x = 3*y = 3*14= 42So the answer is D
Problem 5 : 42 + 8 = 50 and 8+9= 17 17*3 = 51 51-50 = 1 so the answer is 8 yearsThe answer is c
Related Questions
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
Answers
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
Let H be our altitude and B our base and A the area of the triangleA= (B*H)/2 ⇒ 15=(B*H)/2 H is 1cm shorter than B ⇒ B=H+1H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
a=1b=1c= -30 Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0 Δ≥0⇔ that we have two solutions x and y x= (-1-[tex]\sqrt{121}[/tex])/2= (-1-11)/2= -6 y= (-1+[tex]\sqrt{121}[/tex])/2= 10/2 = 5We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Solve the inequality. 4(p – 4) > 12 A. p 3 C. p > 16 D. p > 7 it would be nice if you can show me how you did step by step
Answers
Answer:
D
Step-by-step explanation:
Given
4(p - 4) > 12 ( divide both sides by 4 )
p - 4 > 3 ( add 4 to both sides )
p > 7 → D
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thickness of the filament?
Answers
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
[tex]=0.01 \pm 0.0002 $ Inches[/tex]
We can then calculate the least allowable thickness of the filament as:
[tex]=0.01 - 0.0002 \\=0.00998$ Inches[/tex]
The least allowable thickness of the filament is 0.00998 Inches.
Does 24,7 and 26 make a right triangle
Answers
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
Answer:
these points will not form a right-angled triangle
Step-by-step explanation:
By using pythagoras theorem
(26)²=(24)²+(7)²
676=576+49
676≠625 so these points will not form a right-angled triangle
i hope this will help you :)
A penny is dropped onto a rectangular surface. If it is equally likely for the penny to land anywhere inside the large rectangle, what is the probability that all or part of the penny will come to rest inside the shaded area? Round your answer to the nearest whole percent. A. 23% B. 26% C. 30% D. 32%
Answers
Answer:
B. 26%
Step-by-step explanation:
You have to find the area of each rectangle then divide them to find the percentage.
6x3= 18
7x10= 70
18/70= 0.2571
Move the decimal 2 spaces: 25.71%
Then you round to the nearest whole number which is 26%.
convert 203base five to base ten.
Answers
Answer:
53
Step-by-step explanation:
Step1: Converting 203 to base 10.
2*52=50
0*51=0
3*50=3
Adding all to get Answer=5310
Step2: Converting 5310 to 10
The equation calculation formula for 5310 number to 10 is like this below.
10|53
10|5|3
10|5|5
Answer:5310
Please help me:((((((( It is real urgent! Please and thank you
Answers
Answer:
B. p > 12.80(160) + 8235.
Step-by-step explanation:
Since he wants to make a profit, the price he will need to receive for his crop will have to exceed his costs. So, the equation would use the > sign rather than the >= sign.
He harvests crops for $12.80 per acre, with 160 acres. That would be 12.80(160).
He is spending $8235, which adds to the costs of harvesting.
So, the answer will be B. p > 12.80(160) + 8235.
Hope this helps!
Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Baseline n Superscript 4 Baseline EndFraction) squared What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4 Over 25 EndFraction StartFraction 4 Over 25 EndFraction StartFraction 24 Over 25 EndFraction
Answers
Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of m and n is:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
Exponent rule of division:
[tex]a^{x}\div a^{y}=a^{x-y}[/tex]
Compute the value of the expression for m = -5 and n = 3 as follows:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]
[tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]
Thus, the correct option is option (3) 4 ÷ 25.
Answer:
4/25
Step-by-step explanation:
I just did the test
Four times the difference of 17 and a number is 84.
Which equation below can be used to find the unknown number?
A) 4(17)- n = 84
B) 4 - 17n = 84
C) 17 - 4n = 84
D) 4 (17- n) = 84
Answers
Answer:
D)
Step-by-step explanation:
a number: n
difference of 17 and a number: 17 - n
4 times the difference of 17 and a number: 4(17 - n)
4 times the difference of 17 and a number is 84: 4(17 - n) = 84
3/5 times by 210 equals
Answers
Answer:
it equals 315
Step-by-step explanation:
Ramani has 3 times as many two -rupee coins as she has five- rupee coins . If she has in all a sum of Rs.77 , then how many coins of each denomination does she have ?
Answers
Answer:
21- two rupee coins
7- five rupee coins
Step-by-step explanation:
3x(2)=5x
6x=5x
6x+5x=77
11x=77
x= 7
thus 3x(2)means she has 21-2 rupee coins and 7-5rupee coins.
Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction.
g(f(x))
Answers
Answer:
4x2-7
Step-by-step explanation:
4(x2+2)-1=4x2+8-1=4x2=7
The point (1, 3) maps to (-1, 4). Which of the following rules would generate this transformation?
(х + 4, у – 2)
(х + 2, у – 1)
(X - 2, y + 1)
(x - 4, y + 2)
Answers
Answer:
(x-2,y+1)
Step-by-step explanation:
from point (1, 3) to (-1, 4).
x=1 to x=-1
x-2=-1
1-2=-1
from y=3 to y=4
y+1=4
3+1=4
40 thousandths= how many hundredths? I'll mark brainliest for whoever answers first :D
Answers
Answer:
Is it 0.04?
Step-by-step explanation:
Do tell me if I'm wrong please.
The value of each digit in a number is known as the place value. The number of hundredths that 40 thousandths will have is 4.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10A thousandth is the (1/1000)th part of something, while a hundredth is the (1/100)th part of something.
Let the number of hundredths be x. Therefore, the number of hundredths can be written as,
40(1/1000) = x(1/100)
0.04 = x/100
x = 4
Hence, the number of hundredths that 40 thousandths will have is 4.
Learn more about the Place Value:
https://brainly.com/question/27734142
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I need to know the volume of this droplet in cubic meters!
Answers
Answer:
There are 100³ = 1000000 cubic cm in one cubic meter so the answer is 0.1 / 1000000 = 1 / 10000000 = 0.0000001 cubic meters.
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.2 liters b.3 liters c.1 liter d.4 liters
Answers
Answer:
Option B. 3 liters
Step-by-step explanation:
First, we shall determine the total volume of soup that Mei have. This is illustrated below:
Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.
Next, we shall convert 2400mL to litres (L). This can be obtain as follow:
1000mL = 1L
Therefore, 2400mL = 2400/1000 = 2.4L
Mei have 2.4L of soup.
Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.
What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28)
Answers
Answer:
-2x + 3
Step-by-step explanation:
Step 1: Write out expression
-1/5(5x + 20) - 1/4(4x - 28)
Step 2: Distribute
-1/5(5)x - 1/5(20) - 1/4(4)x + 1/4(28)
Step 3: Multiply
-x - 4 - x + 7
Step 4: Combine like terms
-2x + 3
Answer:
agenthammerx is right plz give him stars
Step-by-step explanation:
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answers
Answer:
Step-by-step explanation:
Arbitrarily choose a couple of x value using the given function, and write your results in a x-y table as (x, y). Plot these points. Connect them with a smooth curve. if you have any doubts about the shape of the grqph, pick more x values in the neighborhood and plot them also.
Write the set { 1, 3, 7, 15, 31, 63 } in set builder form
Answers
Answer:
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Step-by-step explanation:
Mathematically, we can rewrite each term in the set as follows;
1 = 2^1 - 1
3 = 2^2 -1
7 = 2^3 -1
15 = 2^4-1
31 = 2^5-1
63 = 2^6 -1
so we can conclude that the nth term is 2^n -1
So writing this in set builder notation, we have;
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
How much of a radioactive kind of francium will be left after 10 minutes if the half-life is 5 minutes and you start with 96 grams?
Answers
Answer:
24
Step-by-step explanation:
96/2=48/2=24
One morning, Marcia works from 08 20 to 11 15.
Find how long slie works for.
Give your answer in hours and minutes.
Answers
Answer:
2:55. That's Two hours and 55 minutes.
Step-by-step explanation: From 8:20 to 11:20 would be three hours. But the actual time is five minutes less. There are 60 minutes in one hour. So change one hour to 60 minutes and subtract 5 minutes.
2:60 - :05 = 2:55
Answer:
2 hours and 55 minutes
Step-by-step explanation:
Take 11:15 and subtract 8:20
11 : 15
-8:20
------------
We need to borrow from the hours
11 becomes 10 and 1 hour = 60 minutes so add 60 to the 15
10 :75
-8:20
------------
2: 55
This is 2 hours and 55 minutes
WILL MAKE BRAINLYEST PLEASE SOME ONE ANSWER MY QUESTION PLEASETo write the best estimate for the following product in scientific notation, what should be the power of ten?
Answers
Answer:
2.9403x10^15
Step-by-step explanation:
plsss mark as brainliestt :)
Answer:
2.9403x10^15
Explain:
doodidopdpop
Can some one help me on this 10pts
Answers
Answer:
x = 20
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent, that is
∠ A = ∠ D , thus
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
hi PLLSS HELP solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation? {–22, 14} {–14, 22} {–10, 2} {–2, 10}
Answers
Answer:
{ - 2, 10 }
Step-by-step explanation:
Given
x² - 8x = 20
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 20 + 16, that is
(x - 4)² = 36 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 4 to both sides )
x = 4 ± 6
Thus
x = 4 - 6 = - 2
x = 4 + 6 = 10
Answer:
d is it
Step-by-step explanation:
Which of the following is equivalent to (5) Superscript seven-thirds? 5–4 54 RootIndex 7 StartRoot 5 cubed EndRoot RootIndex 3 StartRoot 5 Superscript 7 Baseline EndRoot
Answers
Answer:
[tex]\sqrt[3]{5^7}[/tex]
Step-by-step explanation:
According to the rules of roots and exponents, ...
[tex]\displaystyle \boxed{5^{7/3}=\sqrt[3]{5^7}}[/tex]
__
The denominator of the fractional exponent is the index of the root. The numerator of the fractional exponent can be applied inside or outside the root:
a^(b/c) = (a^(1/c))^b = (a^b)^(1/c)
The answer will be 3 StartRoot 5 Superscript 7 Baseline EndRoot.
3 StarRootThe 3 StarRoot of a number is the factor that we multiply by itself three times to get that number
How to solve this problem?The steps are as follow:
5 Superscript seven-thirds can be represented as [tex]5^{\frac{7}{3} }[/tex]It can also be represent as [tex][5^{7}]^\frac{1}{3} }[/tex]Now as per rule of mathematics:[tex][5^{7}]^\frac{1}{3} } = \sqrt[3]{5^{7} }[/tex]
So, 5 Superscript seven-thirds equivalents to 3 StartRoot 5 Superscript 7 Baseline EndRoot
Learn more about 3 StarRoot here:
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All three sides and all three angles are equal in an equilateral triangle. Could this figure
also be a parallelogram?
never
always
sometimes
Answers
Answer:
never
Step-by-step explanation:
Any triangle can never be a parallelogram because it only has three sides.
quadrilateral with parallel sides is a parallelogram.
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
on a new house. How much did Karen withdraw from the account?
(Round to the nearest cent as needed.)
Answers
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
Round to the nearest cent as needed.)
P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answers
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
Determine the number of solutions for the equation shown below x= x - 9
Answers
Answer:
None (0)
Step-by-step explanation:
x = x - 9
-x -x
0 = -9
No solution
What number is 84% of 875?
Answers
Answer:
735
Step-by-step explanation:
Of means multiply
84% * 875
change to decimal form
.84* 875
735
Answer:
735
Step-by-step explanation:
a percent of any number is the decimal version of the percentage times the number.
84% = 0.84
We multiply it by the number and get 0.84*875 = 735