Answer:
1450
Step-by-step explanation:
[tex]U_{1}=9500\\d=3500.\\n=14\\\\U_{n}=U_{1}+(n-1)d\\U_{n}=95000+(14-1)*3500\\\\U_{n}=140500\\[/tex]
Solve the simultaneous equations
y = 4x + 1
y = 2x^2+ 7x - 1
Answer:
[tex]Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3[/tex]
So, the required values of x are -2 and 1/2 and that of y are -7 and 3.
Solve
x2 + 2x – 15 = 0
Answer:
x = - 5, x = 3
Step-by-step explanation:
Given
x² + 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
5 × - 3 = - 15 and 5 - 3 = + 2, so
x² + 2x - 15 = 0
(x + 5)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
Find the measure of each angle
Answer: x=36°
Step-by-step explanation:
The four interior angles of a quadrilateral always equal 360°, so:
(x+16)+(4x-8)+(4x-8)+x=360
Combine like terms:
360=10x+0
360=10x
36=x
Answer:
In image below
Step-by-step explanation:
Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?
Answer:
iON know
Step-by-step explanation:
The graph of a linear system is shown. What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(1,2)
Step-by-step explanation:
The solution would be where both lines intersect.
In this case, the intersected point is (1,2)
if x^3 = 125 what does x equal?
and 3 other questions use >,<, or = to complete the next 3 problems
Step-by-step explanation:
5×5×5=125
so 7. x=5
8. =
9. >
10. <
Answer:
x^3 = 125
x = 5
Step-by-step explanation:
8) =
9) >
10) <
find the cube root of 27a
Answer:
3a
Step-by-step explanation:
27a ÷ 3 (number of cube root) = 3a
Answer:
3 a
Step-by-step explanation:
is the right answer you welcome
help i am almost done
PLS HELP ME!!! which matrix represents the system of equations below {8x-9y+13z=11
{-8x-5y+5z=15
{3x+4y-8z=-10
Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
[tex]\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\[/tex]
20 POINTS! 2 + 4n = 11. What is the answer?
Answer:
I think the answer would be n = 9/4
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. Is Charles’s reasoning correct? Explain why or why not.
Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
ik you want the points
plzz
Answer:
Line 1: Undefined
Line 2: -4/3
Line 3: 4/3
Line 4: Undefined
Line 5: 7/3
Line 6: -7/3
Line 7: 0
Line 8: 0
Line 9: Undefined
Line 11: 0
Line 10 & 12: Undefined
Step-by-step explanation:
Use the slope formula (you can just search up the slope formula)
Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).
I hope this helps!
Rewrite the fraction in the sentence below as a percentage.
19
At a certain wedding,
of the guests were under 65 years old.
20
Answer: 95%
Step-by-step explanation:
19/20 divide
=0.95 turn into fraction form
= 95/100
=95%
If 5p = 100, the value of the variable p is
Answer: p = 20
Step-by-step explanation: 5 x 20 = 100
-zomba
Olivia wants to know the proportion of students at her school who use a
certain social media app. She interviews a random sample of students at
her school. She finds that 30% of the students in the sample use the app.
What conclusion can she draw from the sample?
А
It is likely that about 30% of the students at her school use the app.
B Exactly 30% of the students at her school use the app.
Every random sample would find that 30% of the students use
the app
It is likely that 30% of the students at her school were selected for
the sample.
Answer:
A
Step-by-step explanation:
Random sampling is a sampling method where each sample has an equal chance of being chosen. The random sample chosen is meant to be an unbiased representation of the population.
If 30% of the sample uses the app, it means that 30% of the population are likely to use the app
Using the common denominator, what is an equivalent fraction for 2/7
?
Answer:
The fraction 4/14 is equal to 2/7 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (2/7) by the same interger number, ie, multiply by 2, 3, 4, 5, 6
A dog barks 30 times in 2 minutes. How many times does the dog bark per minute?
barks per minute
Answer:
15 times per minute
Step-by-step explanation:
just divide 30 by 2
$2500, 4.5%, 2 years
Answer:
si=part
=2500×0.045×2
=225...
the answer is C
Dennis recently purchased an old car for $1000, and he knows that each year, the car’s value will increase by 2% each year. What is the value of the car after 20 years?
Which equation could be used for the situation below?
Jenna earns $8 each week by completing chores. She already has $12 in her savings. How much will she have after 4 weeks?
y = 8x + 4
y = 8x
y = 8x + 12
Answer:
Option C is the correct answer.
Step-by-step explanation:
Per week earning = $8
Amount in savings = $12
y = Total amount
x = Number of weeks
y = 8x + 12
Where we can put x=4 to calculate earning of 4 weeks.
y = 8(4) + 12
y = 32 + 12 = $44
Therefore,
Option C is the correct answer.
tions on NOTEPADS
SUS
Expand and simplify the following
6(x + 2) - 3(x + 4)
jane had a collection of balloons she gave 1/4 of her collection to her sister. how many balloons does jane have now?
Answer:
3/4
Step-by-step explanation:
8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
Show steps please, Need answer ASAP
A recipe calls for 1/2 cup of milk for every 3/4 cups of flour. How much milk is required for every cup of flour. *
Answer:
2/3rds
Step-by-step explanation:
for 1 cup of flour you multiply 3/4th by 4 then devide by 3 giving you one cup of flour, now to keep it balanced you do the same to the milk, thus multiplying 1/2 by 4 then dividing it by three, which is 2, you then divide 2 by 3 giving you yours answer, 2/3rds
Answer:
A recipe calls for 1/2 cup of milk for every 3/4 cups of flour. How much milk is required for every cup of flour. *
Step-by-step explanation:
So for every 1/2 a cup is 3/4 cups of flour so if you need to know how much cups of flour is used for 1 total cup of milk you have to add you multiply it is optional if you add put the two fractions next to each other you need to add to the side witch the numbers are 3 so 3+3 is 6 so you got the answer just put the number 4 under the 6 and it will be 6/4 or you could say 1 2/4 or 1 1/2 .
Which picture shows a rotation of the flag?
Answer:
it has no pic
Step-by-step explanation:
A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?
Answer:
30 feet
Step-by-step explanation:
3x8=24 ft
3/4x*8= 6 ft
find ordered pairs: choose two of the answers below
y=2/3x+5
thank you v much//.
a.(-5,-10)
b.(-3,3)
c.(6,9)
d.(2,8)
Answer:
b -3,3 c 6,9 hope this helps
solve the inequality 31< 3x+4
