Answer:
Sara's mother age : 40 years
Sara's age : 10 years
Step-by-step explanation:
Let Sara's mother age be x
and Sara age be y
Given , Sara's mother is now four time as old as Sara
• x = 4y ...1
also, in five years , she will be three times as old as Sara
In five years , Sara's mother age :- ( x + 5 )
Sara age :- ( y + 5 )
according to the question,
x + 5 = 3 ( y + 5 )
x + 5 = 3y + 15
x - 3y = 10 ... 2
putting value of x from 1 into 2
4y - 3y = 10
y = 10
putting y value in 1
x = 4y = 4 ( 10 ) = 40
So, Sara's mother age is 40years
and Sara's age is 10years .
Simplify.
–36 + (–74)
–110
–100
38
110
-------------------------------
- 36 + (-74)
- 36 - 74
- 110
<3
the x-intercept of the graph of f(x)=3log(x-5)+2 is:
Answer:
C
Step-by-step explanation:
To find the x- intercept let f(x) = 0 , then
3log(x - 5) + 2 = 0 ( subtract 2 from both sides )
3log(x - 5) = - 2 ( divide both sides by 3 )
log(x - 5) = - [tex]\frac{2}{3}[/tex] , then
x - 5 = [tex]10^{-\frac{2}{3} }[/tex] ( add 5 to both sides )
x = [tex]10^{-\frac{2}{3} }[/tex] + 5 → C
10 to the 2 power in fraction form
Answer
5
to per power
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
Hey there!
10^2
= 10 * 10
= 100
Therefore, your answer should be: 100
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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3. About 31% of the people who come to the park bring a dog. One third of people who come to the park
exercise. Which group of people represents a larger percent of the people coming to the park
Let all people be 100%
Now
People bring dog=31%
1/3rd of people
[tex]\\ \sf\longmapsto 100/3=33.3\%[/tex]
Second group people has larger percentage
Also you have to like multiply all of the numbers or sum.
Answer:
174 m^2
Step-by-step explanation:
9 * 5 = 45
9 * 5 = 45
9 * 3 = 27
9 * 3 = 27
5 * 3 = 15
5 * 3 =15
45+45+27+27+15+15 = 174 m^2
Hope this is helpful.
Answer:
174 m²
Step-by-step explanation:
9 * 5 = 45 (that's the bottom and top areas)
9 * 3 = 27 (that's both the bigger sides areas)
5 * 3 = 15 (that's both the smaller sides areas)
Now you have to double:
45 * 2 = 90
27 * 2 = 54
15 * 2 = 30
Now sum:
90 + 30 + 54 = 174
A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.
Answer:
yy is the comparative narrow of speech to me happy and a bit in a sentence
Step-by-step explanation:
ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answer:
107
Step-by-step explanation:
Because, 36+35=71
and 71+36=107
Answer:
107
Step-by-step explanation:
not that hard bro
solve for x. round to the nearest tenth of a degree, if necessary
Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?
Duke swims 0.05 miles in a minute.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Duke swims 0.10 mile in 2 minutes.
Now,
Since, Duke swims 0.10 mile in 2 minutes.
Thus, Speed = 0.10 / 2
Speed = 0.05 mile per minute
And, He swims at the same speed.
Thus, Distance in 1 minute,
Speed = Distance / Time
0.05 = Distance / 1
Distance = 0.05 miles.
Thus, Duke swims 0.05 miles in a minute.
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I need it asap thanks
Answer:
Point-slope form: y - 3 = -6/5 (x + 5)
Slope-intercept form: y = -6/5x - 3
Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E
Answer:
EF= 18 in. , m<F=134'
Step-by-step explanation:
This ones for the boys with the booming system, top down ac with the cooling sytem
Let
f
(
x
)
=
3
x
+
3
f
(
x
)
=
3
x
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3
and
g
(
x
)
=
x
2
+
x
+
2
g
(
x
)
=
x
2
+
x
+
2
. Evaluate the following.
a
.
a
.
f
(
2
)
f
(
2
)
=
b
.
b
.
f
(
−
3
)
f
(
-
3
)
=
c
.
c
.
g
(
−
2
)
g
(
-
2
)
=
d
.
d
.
g
(
3
)
g
(
3
)
=
e
.
e
.
f
(
a
−
3
)
f
(
a
-
3
)
=
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.
f
.
g
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g
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I think when you copied and pasted your question it re arranged itself
Estimate g(14). (Use the midpoint to get the most precise estimate.)
I know how to apply the midpoint theorem, but I don't know where I should start my intervals.
We have that for the Question "I know how to apply the midpoint theorem, but I don't know where I should start my intervals." it can be said that
Where you start your intervals are at the (x,y) co-ordinate of the Reference points
From the question we are told
I know how to apply the midpoint theorem, but I don't know where I should start my intervals.
Generally the equation for the midpoint is mathematically given as
[tex]m=\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex]
Naturally the midpoint of two point is the point in between the reference points where distances from them are equal
Therefore
Midpoints co-ordinates simply considers the co-ordinate of the two main reference points.(x,y)
Hence
Where you start your intervals are at the (x,y) co-ordinate of the Reference points
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I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get
If he get 96 new customers that means he will have to sign 24 customers
for the new service features.
The deal is to get 25% of your new customer to sign the new service features.
When the new customers are 96 in numbers, the number of individuals(25%
of the new customers) to be signed for the new features can be calculated as
follows:
New customer to sign for the new features = 25% of 96
New customer to sign for the new features = 25 / 100 × 96
New customer to sign for the new features = 2400 / 100
New customer to sign for the new features = 24
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This means that if I get 96 new customers that means I have to get 24 new customers
From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.
Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:
= 25% of 96
= 0.25 * 96
= 24 new customers
This means that if I get 96 new customers that means I have to get 24 new customers
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What is the y-intercept?
Answer:
y- intercept = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses the y- axis
In this case that is the point (0, 4 ) , then
y- intercept = 4
Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.
Answer:
$15,000
Step-by-step explanation:
Let P represent Aiden's current pay.
If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.
P + 0.15P = 17250
1.15P = 17250
P = 17250/1.15 = 15000
His salary before the increase was $15,000.
Answer:
$14662.5
Step-by-step explanation:
Aiden receives a pay rise of 15%
increases their pay to $17,250
15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase
A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted
Answer:
1800.
Step-by-step explanation:
If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 = 25!/ (25-2)!
= 600.
If the first number is M or P the number is the same so that makes 1800 possibilities.
5+8 = 13 but 8+5 = 14 explain
Answer:
Their both the same answers which is 13
Step-by-step explanation:
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Answer:
[tex]0.225 \Omega =225 m\Omega[/tex]
Step-by-step explanation:
We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes
[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]
48 mouse traps/6 people = X mouse traps/1 person
Answer:
8 mousetraps
Step-by-step explanation:
to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.
Solve the Quadratic equation
8n²-56=48n
Answer:
n = {-1, 7}
Step-by-step explanation:
8n² - 56 = 48n
Subtract 48n from both sides
8n² - 48n - 56 = 0
Divide both sides by 8
n² - 6n - 7 = 0
Factor
alternately use the quadratic equation or complete the square
(n - 7)(n + 1) = 0
n = {-1, 7}
Anna has 128 trees in her garden. 16 of the trees are apple trees.
What percentage of the trees in the garden are apple trees
Answer:
12.5%
Step-by-step explanation:
To change a fraction to o percentage , multiply by 100% , so
[tex]\frac{16}{128}[/tex] × 100%
= 0.125 × 100%
= 12.5%
Helppp on mathhh pls it’s due tomorrow
Answer:
1. 20 km
2. 0.5 hours
3. 40 km
4. 1.5 hours
5. A, 40 km/hr
6. 80 km/hr, 40 km/hr
Step-by-step explanation:
2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.
1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.
3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.
4. Both cars reached point C at the same time of 1.5 hours.
5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]
6.
First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]
Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]
PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
d. took the test
Step-by-step explanation:
PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST
Answer:
7
Step-by-step explanation:
We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7
Explain the equivalence of 7 divided by 2 or 7/2and using words.
Answer:
so this is what i think im not sure but ot will be seven dived by two . i hope this works
Help ASAP!!!!!
A. 1/4
B. 4
C. - 1/4
D. –4
Answer:
D. -4
Step-by-step explanation:
Identify the similar triangles.
ΔHFE=
ΔHFE=
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
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Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer
