Answer:
23 years old
Step-by-step explanation:
Savannah's age = x
Selena's age = y
Right now, x = 2y + 1
In 13 years, x = 1.5y
Here, we must use simultaneous equations to work it out.
x = 2y + 1
x + 13 = 1.5 x (y + 13) --> x + 13 = 1.5y + 1.5 x 13 --> x + 13 = 1.5y + 19.5
x + 13 = 1.5y + 19.5
- 13
x = 1.5y + 6.5
x = 1.5y + 6.5 = 2y + 1
1.5y + 6.5 = 2y + 1
- 1
1.5y + 5.5 = 2y
- 1.5y
5.5 = 0.5y
x 2
11 = y
We know that y = 11
Savannah is currently twice her cat's age plus 1, so...
11 x 2 + 1 = 22 + 1 = 23 years old
Hope this helps!
P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)
PLEASE HELP WILL GIVE BRAINLY!!!!!!!
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
A) q= 5/5
B) q= -5/5
C) q= 3/5
D) q= -3/5
E) q= 25/5
Answer:
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Since there is no constant value. This must be a special case.
So,
(q+5[tex]\sqrt{5}[/tex])(q-5[tex]\sqrt{5}[/tex])
q = -5[tex]\sqrt{5}[/tex]
q = 5[tex]\sqrt{5}[/tex]
Factor this expression.
3x2 - 6x
Answer:
3x(x - 2)
Step-by-step explanation:
Both terms have a GCF (greatest common factor) of 3x so factoring that out, we get 3x(x - 2).
Answer:
3x ( x - 2 )
Step-by-step explanation:
First we hv to find wat is common in both of them.....
As we can see " 3x " is common in both of them
so....
If we take 3x from both the terms.... It will become....
3x square = 3x ( x )
-6x - 3x ( -2 )
Therefore the expression will become....
3 x square - 6x
= 3x ( x - 2 )
Hope this helps...
HAVE A GOOD DAY !!! ( no the biscuit ) (lol)
Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra pointscan somewon help me plx
Answer:
[tex]\boxed{392in^2}[/tex]
Step-by-step explanation:
Hey there!
Well to find SA we need to find the area of the rectangles.
So lets do the top rectangle,
6*6 = 36
Now lets do the the left rectangle,
10*6 = 60
Now lets do the far right one,
6*4 = 24
Now lets do the second highest rectangle,
4*6 = 24
Now lets do the rectangle facing the right side,
6*6 = 36
Now we can do the bottom rectangle,
6*10 = 60
Now lets do the 2 facing front and back,
6*10 = 60
4*4 = 16
60+16 = 76
76*2 = 152
Now we can add everything,
152 + 60 + 36 + 24 + 24 + 60 + 36
= 392 in^2
Hope this helps :)
Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar by the AA similarity postulate?
Angle B is congruent to angle E.
Side AB is congruent to side DE.
Angle C is congruent to angle D.
Side BC is congruent to side EF.
Answer:
Step-by-step explanation:
option A , angle B is congruent to angle E { SINCE IT IS AA POSTULATE
Answer:
B=E (b)
Step-by-step explanation:
Which mean the same as 60%? Check all that apply
a.3/5
b. 0.06
c. 0.60
d. 6/10
e. 6/100
How are you? Heres the question of the day! 138 + 76 x 94 =
Answer:
7282
Step-by-step explanation:
To answer this use PEMDAS
First, we need to multiply: 76 x 94 = 7144
Then we add: 7144 + 138 = 7282
Answer:
[tex]\boxed{7282}[/tex]Step-by-step explanation:
Using PEMDAS rule:
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Now, let's solve:
[tex] \mathsf{138 + 76 \times 94}[/tex]
Multiply the numbers
[tex] \mathsf{ = 138 + 7144}[/tex]
Add the numbers
[tex] \mathsf{7282}[/tex]
Hope I helped!
Best regards!
What is the value of r in the equation?
-1.5(4-r)=-12
0 -6
-4
4
06
Answer:
r = -4Step-by-step explanation: I hope it helps :)
[tex]-1.5(4-r)=-12\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4-r\right)\cdot \:10=-12\cdot \:10\\\\= -15\left(4-r\right)=-120\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\\\frac{-15\left(4-r\right)}{-15}=\frac{-120}{-15}\\\\4-r=8\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\\\4-r-4=8-4\\\\-r=4\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\\\frac{-r}{-1}=\frac{4}{-1}\\\\r=-4[/tex]
Answer:
r = -4
Step-by-step explanation:
-1.5(4-r)=-12
Divide each side by -1.5
-1.5/-1.5(4-r)=-12/-1.5
(4-r)=8
Subtract 4 from each side
4-r-4 = 8-4
-r = 4
Divide each side by -1
r = -4
Solve the system of equations 2x - y = 11 and x + 3y = -5
Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
y = -3
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
x = 4
Answer:
(7, 3)
Step-by-step explanation:
2x - y =11 2x-y =11
-2(x+3y)= (-5)-2 -2x-6y= 10
Then you will cross out the x, and add.
-7y =21 divide 7
y=-21/7 or y=3
Then you plug in the y where the y is and solve
2x-(3) = 11
2x = 14
x=7
help me plz can somewon help me i am bad at math mostly
Answer:
Definitely the bottom left
Step-by-step explanation:
Machine A can fill 1 box of nails in 6 minutes. Machine B can fill 1 box of nails in 9 minutes. They started to work at the same time and they stopped also at the same time. In all they filled 100 boxes. How many were filled by machine A?
A-
1 box --- 6 minutes
y boxes --- 1 minute
y = 1/6
B-
1 box --- 9 minutes
t boxes --- 1 minute
t = 1/9
So...
r - used time
r(1/9 + 1/6)=100
r=(100.18)/5
r= 360 minutes
1/6 . 360 = 60 boxes
answer: 60 boxes
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
Let's use the concept of the rate of work to solve this problem. The rate of work is the amount of work done per unit of time.
Machine A's rate of work is 1 box of nails every 6 minutes.
Machine B's rate of work is 1 box of nails every 9 minutes.
Let's assume that machine A filled x boxes, and machine B filled y boxes. Since they worked for the same amount of time, the total number of boxes filled by both machines is 100.
So, the equation representing the total work is:
x (boxes filled by A) + y (boxes filled by B) = 100
Now, let's use their rates of work to form two more equations:
Rate of work of A = 1 box every 6 minutes
Rate of work of B = 1 box every 9 minutes
Since work = rate × time, we can write two equations:
x (boxes filled by A) = (1/6) * t (time in minutes)
y (boxes filled by B) = (1/9) * t (time in minutes)
Since they both worked for the same time, we can set the time for both machines as equal:
t = t
Now, we have a system of equations:
x + y = 100
x/6 = y/9
t = t
Let's solve the system of equations. We can start by substituting the value of y from the second equation into the first equation:
x + (x/6)*3 = 100
x + (x/2) = 100
Multiply both sides by 2 to eliminate the fraction:
2x + x = 200
3x = 200
x = 200/3
Now, let's find the value of y using the second equation:
y = (x/6)*3
y = (200/3)/6 * 3
y = 200/3
So, machine A filled 200/3 boxes of nails, which is approximately 66.67 boxes.
Machine B filled 200/3 boxes of nails, which is also approximately 66.67 boxes.
Since they cannot fill a fraction of a box, we can distribute the remaining 2/3 box between machine A and machine B, giving one extra box to each.
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
To know more about machine:
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What is the solution to the inequality 3t + 9 ≥ 15 ? please answer as soon as you can!!
Answer:
T≥2
Step-by-step explanation:
3t+9≥15
3T≥15-9
3T≥6
T≥2
Answer:
t ≥ 2
t ∈ [2 ; +oo)
Step-by-step explanation:
3t + 9 ≥ 15
3t ≥ 15 - 9
3t ≥ 6
t ≥ 6 : 3
t ≥ 2
t ∈ [2 ; +oo)
Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lemon, what is the probability that it HAS a chocolate center?
Answer:
45%
Step-by-step explanation:
There are 20 lollilops with lemon in total. 9 of them have a chocolate center. 9/20=0.45. To convert it into percentage you would multiply the number by 100. 0.45*100=45
The answer is 45%
"if it is known to be lemon" means we ignore any other flavor. I recommend covering up the other values, or you could highlight just the lemon column.
We have 9+11 = 20 lemon total. Of this 20 total, only 9 lemons have a chocolate center. So 9/20 = 0.45 = 45% of the lemon candies have a chocolate center.
$12,800 at 12% for 3 years find the total amount ?
Answer:
so first you do
12800*.12 which is 1536
so $1536 for 1 year
for 3 years multiply it by 3
1536*3=
$4608
so 4608+12800 =
17408 is totall
Mark brainliest
Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
Answer:
6 hours
Step-by-step explanation:
We can use ratios to solve
10 hours x hours
-------------- = -------------
15 logs 9 logs
Using cross products
90 = 15x
Divide by 15
90/15 = 15x/15
6 = x
6 hours
Answer:
Below
Step-by-step explanation:
Jovie has maintained the fire burning with 15 logs for 10 hours.
● 15 => 10
Let's find how many hours do 9 logs keep the fire burning.
Let x be that time
● 9 => x
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 15 => 10
● 9 => x
● 15 * x = 9×10
● 15x = 90
● x = 90/15
● x = 6
So the time that the fire will keep burning is 6 hours.
PLZZ HELPP!! Water is poured from a 1.5 L water bottle into an empty glass until both the glass and the bottle are 3/4 full. What is the volume of the glass?
Answer:
0.5 L
Step-by-step explanation:
volume of bottle: 1.5 L
amount of water = 1.5 L
volume of glass: x
3/4 full is the same as 0.75 full
vol of water in bottle + vol of water in glass = total vol of water
0.75(bottle) + 0.75(glass) = 1.5
0.75(1.5) + 0.75x = 1.5
0.75x = 0.375
x = 0.5
Solve x*2+5x+6=5x+10
Answer:
x = -2, 2.
Step-by-step explanation:
x*2 + 5x + 6 = 5x + 10
x^2 + 5x - 5x + 6 - 10 = 0
x^2 - 4 = 0
x^2 = 4
x = -2, 2 ( 2 solutions).
5•1000000 is how many times as large as 5•10000
Answer:
100 times
Step-by-step explanation:
5•1000000 has 2 more zeros than 5•10000 so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest
Find the m∠DCA A. 10 B. 29 C. 116 D. 40
Hence, the m∠DCA is 59.2
What is an angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs, and sometimes the arms of the angle.
How to solve?m∠DCB = (4x) + (6x-58) = 90
10x = 148
x = 14.8
m∠DCA = 4x
= 4(14.8)
= 59.2
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The price of one share of Disney stock declined $2.50 per days for 5 days in a row. What was the overall change in the price?
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?
Answer:
8 servings of rice
Step-by-step explanation:
help
7. Given the figure, find the desired measurements
Answer:
m∠F = 66°
m∠D = 57°
Step-by-step explanation:
It looks like you have ...
∠D = ∠E = (4x +1)°
∠F = (5x -4)°
The sum of the angles in the triangle is 180°, so we have ...
2(4x +1) +(5x -4) = 180
13x -2 = 180
x = 182/13 = 14
Then the angle measures are ...
∠D = ∠E = (4(14) +1)° = 57°
∠F = (5(14) -4)° = 66°
__
m∠F = 66°
m∠D = 57°
If two 6-sided dice are rolled, what is the
probability of rolling double 2s?
16.7%
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.
Answer:
The answer is 16.7%
Step-by-step explanation:
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped
Sally invested some money at 15 % interest. Sally also invested $172 more than 3 times that amount at
14%. How much is invested at each rate if Sally receives $1398.35 in interest after one year? (Round to
two decimal places if necessary.)
Answer:
Amount at 15%=$2,411
Amount at 14%=$7,405
Step-by-step explanation:
let
x= the amount at 15% rate.
y=amount at 14% rate
y= x times 3 plus $172
y= 3x + $172 (1)
x times 15% plus y times 14% equals a return of $1,398.35 after one year
0.15x + 0.14y= $1,398.35 (2)
Recall,
y= 3x + $172
Substitute (1) into (2)
0.15x + 0.14y= $1,398.35
0.15x + 0.14(3x+172)=1398.35
0.15x + 0.42x + 24.08=1398.35
Collect like terms
0.15x + 0.42x=1398.35 - 24.08
0.57x=1374.27
Divide both sides by 0.57
x=2,411
x=$2,411
Find y
y= 3x + $172
=3(2,411) + 172
=7,233+172
=7,405
y=$7,405
Amount at 15%=$2,411
Amount at 14%=$7,405
Check:
$2,411*0.15=$361.65
$7,405*0.14=$1036.70
Total=$361.65 + $1036.70
=$1,398.35
a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million
Answer:
254 million
Step-by-step explanation:
In a calculator it would to
210 x 1,0194^(10)
What is the coefficient of x5y5 in the expansion of (x + y)10?
Answer:
C=252
Step-by-step explanation:
Given:
x^5y^5
(x+y)^10
Find the coefficient of x^5y^5
To get the coefficient of x^5y^5,
we will put r = 5, in the below given general term.
The general term is : nCr =x^ry^n-r
We get:
Coefficient is = 10C5
= 10!/5!*5!
= 252
The coefficient of x^5y^5 is 252
C. 252
Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
Below
Step-by-step explanation:
Imagine our window has 4 panes (picture below)
Let T be the total number of panes:
There are 12 windows at total.
●T = 4×12
Notice that:
● 4 = 2×2
● 12 = 4×3 = 2×2×3
● T = 2×2×2×2×3 = 2^4×3
How many of the positive integer factors of 15552 are perfect squares?
Please show work, will mark brainliest if correct
Answer: 9 integers factors
Step-by-step explanation:
Let's first find the factor of 15552
15552 / 2 = 7776
7776 / 2 = 3888
3888 / 2 = 1944
1944 / 2 = 972
972 / 2 = 486
486 / 2 = 243
273 / 3 = 81
81 / 3 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
Some of the factors of 15552 are:
2×2×2×2×2×2×3×3×3×3×3
4×4×4×9×9×3
4^2 × 9^2 × 4 × 3
The factor that are perfect square are:
4, 9, 16, 36, 64, 81, 144, 576, 1296
Therefore, 9 of the positive integer factors of 15552 are perfect squares.
solve the equation
[tex] {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105[/tex]
Answer:
n=2
Step-by-step explanation:
Hello, please consider the following.
[tex]{5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105\\\\5^{n-1}(5^2-5+1)=5^{n-1}(25-5+1)=21*5^{n-1}=105\\\\5^{n-1}=\dfrac{105}{21}=5=5^1\\\\\text{It means that}\\\\n-1=1 <=> n=2[/tex]
Let me know if you need more details.
Thank you
can somebody help me with this math problem
Answer:
D). 137
Step-by-step explanation:
1). 40 % of 50 = 20
50 + 20 = 70
2). 40 % 70 = 28
70 + 28 = 98
3). 40 % of 98 = 39.2, basically 39
98 + 39 = 137
137 is the right answer
Pls make my answer brainiest))))
Find the interquartile range for a data set having the five-number summary: 3.5, 12, 19.1, 25.8, 31.8 A. 28.3 B. 13.8 C. 15.6 D. 12.7
Answer:
B. 13.8
Step-by-step explanation:
The five-number summary consists of five items which is usually displayed on a box plot, and can be represented in ascending order.
The five-number summary given: 3.5, 12, 19.1, 25.8, 31.8, represents the following in ascending order:
1. The minimum value = 3.5
2. First quartile (Q1) = 12
3. The median = 19.1
4. Third quartile (Q3) = 25.8
5. The maximum value = 31.8
The interquartile range = Q3 - Q1
Therefore, the interquartile range of the data = 25.8 - 12 = 13.8
