Answer:
10 hours
Step-by-step explanation:
We can write a ratio to solve
45 pages 300 pages
---------------- = -------------------
1.5 hours x hours
Using cross products
45x = 1.5(300)
45x =450
Divide by 45
45x/45 = 450/45
x = 10
10 hours
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings
A recursive relation is a relation that defines the terms in a sequence with the previous terms.
Here, the recursive relation will be:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
A₁ = $150.
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
If you want to learn more about recursive relations you can read:
https://brainly.com/question/13143285
From a point on the ground 100m from its base, the angle of elevation of the top of the Burj Khalifa tower in Dubai is 83.1°. Draw a sketch and use it to calculate the height of the tower.
Answer:
Step-by-step explanation:
[tex]tan \ 83.1 = \frac{opposite \ side}{adjacent \ side} = \frac{BC}{100}\\\\8.2635 = \frac{BC}{100}\\\\8.2635*100=BC\\\\826.35 = BC[/tex]
Height of tower = 826.35 m
Convert 300 grades to a radian measure
A=5pi
6
B=6pi
5
C=3pi
5
D=5pi
3
Answer:
5pi/3
Step-by-step explanation:
The conversion factor is pi/180
300 *pi/180 = 300pi/180 = 30pi/18 = 5pi/3
If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)
Answer:
2(3x+4) = 11x-17
6x+8 = 11x-17
25=-5x
x=-5
11x-17
55-17
38
AC = 38
CD = 38
49-38 = 11
DE = 11
Let me know if this helps!
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
QUESTION: Josephine put a frame round his picture which measured 36 cm by 34 cm. A margin 4cm wide was left all the way round. What was the area of the margin ?
(NOTE:SORRY BUT UNFORTUNATELY THERE ISN`T A DIAGRAM)
SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
pls help me asap!!!!!!
Which of the r-values satisfy the following inequality?
r/3 + 5 <_ 9
Choose all answers that apply:
Answer:
9
Step-by-step explanation:
r/3 +5 ≤ 8
Subtract 5 from each side
r/3 +5 -5≤ 8-5
r/3 ≤ 3
Multiply each side by 3
r/3 *3 ≤ 3*3
r ≤ 9
The only value that is less than or equal to 9 is 9
Perform the indicated operation.
(-50) ÷ (-2)
(-50)/(-2)
= 25
when numbers with same signs are divided it gives positive sign........
Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2
ans. 46.5m2......................
What is the value of a? Round to the nearest tenth.
Answer:
50 percent?
Step-by-step explanation:
Someone please helppp
Answer:
Step-by-step explanation:
L = 2 + sqrt(2)
W = 4 - 2sqr(2)
Area = L * W
Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )
Use Foil
F: 2*4 = 8O: 2*(-2sqrt(2) = - 4sqrt(2)I: 4*sqrt(2)L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4Result
Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)
Area = 4
what is the the value of ∣9∣
Hey there! I'm happy to help!
This symbol is an absolute value symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.
Have a wonderful day and keep on learning! :D
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
How do I solve this
Answer:
x = -1 y = 3
Step-by-step explanation:
x = 2y-7
2x + 3y = 7
Substitute x =2y-7 in 2y + 3y = 7
2(2y-7) + 3y = 7
4y-14+3y = 7
7y - 14 = 7
7y = 7 + 14
7y = 21
7y/7 = 21/7
y = 3
Substitute 3 for y in x = 2y-7
x = 2(3) - 7
x = 6 -7
x = -1
Answered by Gauthmath
HELP ILL GIVE BRAINLIEST
Answer:
the image/text is not there
Step-by-step explanation:
x^4 - x^2 - 2x -1 . solve
Answer:
X⁴–X²–2X –1=0
(X²+X+1)(X²–X–1)=0
[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]
[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]
I hope I helped you^_^
An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th
9514 1404 393
Answer:
up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ftStep-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.
The triangle sides are ...
4 ft : 4√3 ft : 8 ft
The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.
On a piece of paper, graph y+ 2[tex]\leq[/tex] 1/4 x-1. Then determine which answer choice matches the graph you drew.
Answer:
Graph A
Step-by-step explanation:
steps to describe an inscribed regular hexagon.
Answer:
many sides
unique shape
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
Answer:
Option D, 13.2
Step-by-step explanation:
m = √{7×(18+7)}
= √(7×25)
= 5√7
= 13.2 (rounded to the nearest tenth)
Anyone who can help me with this?
Answer:
C
Step-by-step explanation:
We know that the first integer will be "l" so the second will be l + 1, third will be l + 2, fourth will be l + 3, and the fifth will be l + 4. The question says "the greatest is g" so that means that the fifth integer is the greatest meaning that is the value of g. Now that we know the value of g, we can substitute it into the equation they gave us and simplify.
l+(l+4)/2
2l+4/2
l + 2
Best of Luck!
Answer:
C
Step-by-step explanation:
say your 5 consecutive numbers are 6-10
if 6 is l and 10 is g then
6+10 over 2 equals 8
this proves that l+2 is correct since 6+2=8
i am a decimal with 2 decimal places round me to the nearest tenth and I will be 7.6 What are the decimals that i might be?
Answer:
The answer is below
Step-by-step explanation:
There are multiply answers, I am pretty these are the answers
7.55
7.56
7.57
7.58
7.59
Step-by-step explanation:
The decimal can be from 7.55-7.64
When the range of the decimal is from 1-4, 5-9 during rounding it then the value will change to 7.6
Like 7.64, 7.63,7.62,7.61 will be rounded off to 7.6
And 7.55,7.56,7.57,7.58,7.59 will be rounded off to 7.6 too
please click thanks and mark brainliest if you like :)
A parabola has x-intercepts at x=-3 and x=4. What the equation of the parabola?
Answer:
x² - x - 12 = 0
Step-by-step explanation:
Given the x- intercepts are x = - 3 and x = 4 , then the factors are
(x + 3) and (x - 4)
Expressing as a zero product
(x + 3)(x - 4) = 0 ← expand using FOIL
x² - x - 12 = 0
which is less full? A dump truck that is 1/10 full or one that is 7/10 full?
Answer:
Its the first one
Step-by-step explanation:
A dump truck that is 1/10 is less full than a 7/10 one.
35\40 = 7\?
a. 5
b. 8
c. 1
d. 4
Answer:
b. 8
Step-by-step explanation:
Simplify the left side by dividing the top and bottom by 5
35/5 = 7
40 /5 = 8
7/8
Hey there!
35/40 = 7/x
Cross Multiply the fraction
35(x) = (7)(40)
→ 35x = 280
DIVIDE 35 to BOTH SIDES
35x/35 = 280/35
CANCEL out: 35/35 because that gives you 1
KEEP: 280/35 because that helps solve for the x-value
→ x = 280/35
x = 8
Therefore, your answer is most likely: 8 (Option B)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
(8-16) + (8 + 6)
If the parentheses are removed from the above
expression, how will the value of the expression
change?
A. no change
B. increase of 3
C. increase of 7
D. increase of 12
E. increase of 16
Step-by-step explanation:
Right now, we would solve everything within the parenthesis first.
(8 - 16) + (8 + 6)
(-8) + (14)
14 - 8
6
But if we remove the parenthesis, it doesn't matter what order we do things in.
8 - 16 + 8 + 6
8 + 8 - 16 + 6
16 - 16 + 6
6
The reason why both of these are the same, is because the only calculations we're doing are addition and subtraction, which don't care about parenthesis.
Answer:
A
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
One dozen cookies cost $5.50. At that rate, how much does one cookie cost?
Answer:
0,458$
Step-by-step explanation:
