You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
There will be $220 in the account after ___ weeks
Answers
Answer:
7 weeks
Step-by-step explanation:
b=95+(10+9)w
Combine like terms
b=95+(19)w
Let b = 220
220 = 95 + 19w
Subtract 95 from each side
220-95 = 19w
125 = 19w
Divide each side by 19
125/19 = w
6.578947368
Round up
After 7 week
Related Questions
What is the volume of the sphere below?
Answers
500/3 π units
Step-by-step explanation
first state the formula wic is 4/3πr^3 then after u multiply 4 times the radius wic is
4×5^3
=500/3π units
If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent
Answers
In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it
can someone pls help me on number 4
Answers
Answer:
Step-by-step explanation:
Do this by converting the numbers to decimals
9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.
9.770833 feet is the length of the given board.
11.25 inches = 11.25 / 12 = 0.9375 feet
So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.
Therefore there is 10.42222187 board cut up. The decimal is the remainder.
0.42222187 * 12 = 5.066 inches or rounded to 5 inches.
there are 3468 apples in a basket how many children can share them equally
Answers
Answer:
3468 children.
Step-by-step explanation:
One apple per person.
Look at this cone:
,,
Answers
We know
[tex]\boxed{\sf \star TSA_{(Cone)}=\pi r(r+\ell)}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=2
\dfrac{22}{7}\times 2(2+3)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{44}{7}(5)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{220}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=31.4ft^2[/tex]
Now
New slant height =2(3)=6cmNew radius=2(2)=4cm[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{22}{7}\times 4(4+6)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{88}{7}(10)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{880}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=125.7cm^2[/tex]
So
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{125.7}{31.4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cone)}}:{TSA_{(Old\:Cone)}}=4:1}}}[/tex]
Please help me! This is Algerbra 1
Answers
Answer:
A. x > -1 or x < -1
Step-by-step explanation:
5x - 29 > -34 or 2x + 31 < 29
Add 29 to both sides. Subtract 31 from both sides.
5x > -5 or 2x < -2
Divide both sides by 5. Divide both sides by 2.
x > -1 or x < -1
Answer: x > -1 or x < -1
help me find x please
Answers
Answer:
[tex]3\sqrt{3}[/tex]
[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]
Step-by-step explanation:
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answers
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
For what values of x will the square and the rectangle is shown below have the
same perimeter?
Answers
Perimeter of square = Perimeter of rectangle
=> 4(side) = 2(length + width)
=> 4(x+5) = 2[(x+3)+(x+7)]
=> 4(x+5) = 2[x+3+x+7]
=> 4x + 20 = 2x + 6 + 2x + 14
=> 4x + 20 = 4x + 20
=> 4x - 4x + 20 = 20
=> 20 = 20
So, any real number is the solution of this equation. It means that for every real number as x, the perimeter of the square will be same as the perimeter of the rectangle.
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answers
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
The roots of the quadratic equation x^2/a^2-b^2=a+b/a-b are
Answers
Explanation:
x^2/ a^2 - b^2 = a+b/a-b
x^2/(a-b)(a+b) = a+b/a-b
x^2 = a+b/a-b x (a-b)(a+b)
x ^2 = (a+b)^2
x^2 - (a+b)^2 = 0
(x - a + b)(x + a + b) = 0
Set x - a + b = 0
x = a - b
Set x + a + b = 0
x = - a - b
Hope this helps!
Two Fair six-sided dice are rolled and the face values are added. What is the probability of obtaining an even number less than 7?
Answers
Answer:
The probability is 1/4
Step-by-step explanation:
In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.
Now, mathematically the probability will be;
number of even numbers less than 7/total number of outcomes
Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.
Please check attachment for this.
Now from the constructed table, we can find the number of even numbers less than 7.
By counting, we can see that the we have 9 even numbers which are less than 7
Thus, the probability of selecting an even number which is less than 7 is;
9/36 = 1/4
What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answers
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answers
Answer:
Marked price= RS 1600
Discount= RS 80
Step-by-step explanation:
Let
x= the marked price
Discount= 5%
Discount = 5% of x
=0.05x
Cost after discount = x-0.05x
= 0.95x
Vat=10%
=0.1
Cost of the radio including vat=0.95x + 0.1(0.95x)
=0.95x + 0.095x
=1.045x
Price became rs 1672
Therefore,
1.045x=1672
Divide both sides by 1.045
x= RS 1600
Discount=5% of 1600
=0.05 * 1600
=rs 80
Are the ratios 1:2 and 13:18 equivalent?
Answers
Answer:
No.
Step-by-step explanation:
If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.
Therefore, these two ratios are not equivalent.
Answer:
123456789101112131415161718192021222324252627282930
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Answers
Answer:
[tex]4xy[/tex][tex]12x[/tex]-------------
[tex]36x^3,\:22x^2,\:4xy[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 4xy
[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]Common factor
[tex]2x[/tex]---------------------
[tex]36x^3-22x^2-12x[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 12x
[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]Common factor
[tex]2x[/tex]OAmalOHopeO
Trevor thought there would only be 8 teams in the soccer tournament, but there were 17. What was his percent error?
Answers
Answer:
Around 52.94%
Step-by-step explanation:
We can use the percentage error formula, which is
[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].
The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.
[tex]\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94[/tex]
Hope this helped!
I also need to know this one pretty soon pleaseee
Answers
Answer:
128
Step-by-step explanation:
44 pounds is equivalent to_____^a0 kilograms.
Answers
Answer:
19.504
Step-by-step explanation:
divide the mass value by 2.205
An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
Jak policzyc: [tex](2x^2)^2[/tex] ?
Answers
Answer is :
4x^4
In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?
Answers
Answer:
120
Step-by-step explanation:
Got it right on the assigment
Answer:
c. 120
Step-by-step explanation:
i need to know the area
Answers
Answer:
I got option 1.
Step-by-step explanation:
See pictures
PLEASE HELP ASAP!!!! A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period, and why? Mean, because there are no outliers that affect the center Median, because there is one outlier that affects the center Interquartile range, because there is one outlier that affects the center Standard deviation, because there are no outliers that affect the center
Answers
Answer:
Answer: D : Median, because there is 1 outlier that affects the center
Step-by-step explanation:
Mean and median terms are use to measure the central tendency in a data set.
Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.
In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.
a shopkeeper allows 10% discount on his goods to make 20% profit, if he sold a watch for Rs.10170 with 13% vat, by what percent is the discount to be increased to make only 12% profit
Answers
Answer:
16% of MP
Step-by-step explanation:
Key concepts to learn :
Discount is always applied on marked price.
Profit = SP - CP
VAT is applied on Selling Price
SP = 10170/113 x 100 = 9000
If profit is 20% then :
CP = 9000/120 x 100 = 7500
MP = 9000/90 x 100 = 10000
For 12% profit, SP = 7500 x 112/100 = 8400
=> SP = 8400/10000 x 100 = 84% of MP
=> Discount = 16% of MP
It costs $0.0015 to leave a lightbulb on for an hour. How much would it cost
to have a lightbulb on for a month? (Helpful conversions: There are 24 hours
in a day, and there are 30 days in a month).
Answers
A triangular tent has a perimeter of 29 meters. Side a is 3 meters shorter than twice side b and side c is 4 meters longer than side b, Find the length of side b.
A) 11 meters
B) 14 meters
C) 9 meters
D) 7 meters
Answers
Answer:
D) 7 meters
Step-by-step explanation:
So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.
Answer:
Side b=7 meters
Step-by-step explanation:
Given:
Perimeter of triangle=29m
Side a=2b-3
Side b=b
Side c=4+b
To find:
Side b
Solution:
P of triangle=a+b+c
29=2b-3+b+4+b
29=2b+b+b+4-3
29=4b+1
29-1=4b
b=28/4
b=7m
I hope my answer is right.
A box contain 12 balls in which 4 are white 3blue and 5 are red.3 balls are drawn at random from the box. Find the chance that all three balls are of different colour
Answers
Answer:
white: 1/3, blue: 1/4, red: 5/12
Step-by-step explanation:
Take the amount of balls each color has and divide by 12.
White:
4/12 = 1/3
Blue:
3/12 = 1/4
Red:
5/12 (can't simplify)
Answer:
3/44 or 0.068
Step-by-step explanation:
(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)
=3/44
a coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5
Answers
Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building
Answers
Answer:
[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]
Step-by-step explanation:
A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)
The initial velocity ⇒ 20 m/s
The final velocity ⇒ 40 m/s
We can apply a formula to solve for the height of the building.
[tex](V_f)2 - (V_i)^2 =2gh[/tex]
[tex]V_f = \sf final \ velocity \ (m/s)[/tex]
[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]
[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]
[tex]h = \sf height \ (m)[/tex]
Plugging in the values.
Acceleration due to gravity is 9.8 m/s².
[tex](40)^2 - (20)^2 =2(9.8)h[/tex]
Solve for [tex]h[/tex].
[tex]1600 - 400 =19.6h[/tex]
[tex]1200 =19.6h[/tex]
[tex]\displaystyle h=\frac{1200}{19.6}[/tex]
[tex]h= 61.22449[/tex]
The height of the building is 61.22 meters.