Answer:
-7
Step-by-step explanation:
-12x = 84
/-12 /-12
x = -7
Answer:
The other integer is - 7.
Step-by-step explanation:
Let the 2 integers be x and y
Given:
one of the integer is -12, Let x = - 12
Product of two integers is 84,
that is,
x × y = 84
- 12 × y = 84 [ given one of the integer is -12 ]
[tex]\frac{-12 \times y }{-12} = \frac{84 }{-12}[/tex] [ divide both sides by -12 ]
[tex]y = - 7[/tex]
what should I do if I accidentally break my pet rock that has googly eyes on him? i need to fix Rocky Ronny McRonkster
Answer:
Try to glue it back together
Step-by-step explanation:
I heard gorilla glue works, but be careful and don't get the glue on your body. If that happens it can cause irritation and call posion control immediately.
Write an equation for the data shown in each table.
Answer:
1) f(x) = 500·(1.1)ˣ
2) f(x) = 500·(0.9)ˣ
Step-by-step explanation:
1) The given values in the table are;
x; 0, 1, 2, 3
f(x); 500, 550, 605, 665.5
By observation, we have that each two subsequent term of f(x) have a common ratio, given as follows;
550/500 = 11/10 = 1.1 = 605/550 = 665.5/605
From which we have;
The values of f(x) are in a geometric progression
The nth of a geometric progression = a·rⁿ
The common ratio, r = 1.1
The first term, a = 500
The number of terms, n = x
Therefore, xth term, f(x) = a×(r)ˣ
Substituting the values gives;
The equation for the data shown in the table is f(x) = 500·(1.1)ˣ
2) The given table of values is presented as follows;
x; 0, 1, 2, 3
f(x); 500, 450, 405, 364.5
The common ratio, f(xₙ)/f(xₙ₋₁) = 450/500 = 9/10 = 0.9 = 405/450 = 364.5/405
The terms of f(x) are in a geometric progression
The first term. a = 500
The common ratio, r = 9/10 = 0.9
The nth term of a geometric progression, G.P. = a·rⁿ
By plugging in the values of 'a', 'r', and 'n', the value of the xth term, f(x), therefore;
The equation for the data shown in the table is f(x) = 500·(0.9)ˣ.
Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?
Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
What is the amount of material required to creat a Toblerone box? The triangular base is equilateral.
Answer:
21 x 3.1 / 2 = 32.55
Step-by-step explanation:
What are biofertilisiers
☆ Bio fertilizer :- Biofertilisers are organisms that enrich the nutrient quality of the soil. The main source f biofertilizers are bacteria, fungi and cyanobacteria.
HOPE IT HELPS ❣️Montserrat is training for her first race. In her first training week she runs 3 km, and in the second training week she runs 3.5 km. Every week she runs 0.5 km more than the previous one.
a Find how many kilometres Montserrat runs in her 10th training week.
b Calculate the total number of kilometres that Montserrat will have run by her 15th training week.
Answer:8
Step-by-step explanation:
0.5*10=5
3+5=8
a. Montserrat runs 7.5 kilometers in her 10th training week.
b. by her 15th training week, Montserrat will have run a total of 78.75 kilometers.
To find how many kilometers Montserrat runs in her 10th training week, we can use the arithmetic sequence formula to find the nth term:
[tex]a_n = a_1 + (n - 1) * d[/tex]
where:
[tex]a_n[/tex] is the nth term (the number of kilometers in the nth week),
[tex]a_1[/tex] is the first term (the number of kilometers in the first week, which is 3 km),
n is the number of weeks (in this case, 10), and
d is the common difference (the amount by which the distance increases each week, which is 0.5 km).
[tex]a_{10} = 3 + (10 - 1) * 0.5\\a_{10} = 3 + 9 * 0.5\\a_{10} = 3 + 4.5\\a_{10 }= 7.5 km[/tex]
So, Montserrat runs 7.5 kilometers in her 10th training week.
b. Next, to calculate the total number of kilometers Montserrat will have run by her 15th training week, we use the sum of the first n terms formula:
[tex]S_n = (n / 2) * (a_1 + a_n)[/tex]
where:
[tex]S_n[/tex] is the sum of the first n terms (the total number of kilometers run by the nth week),
[tex]a_1[/tex] is the first term (3 km),
[tex]a_n[/tex] is the nth term (which we found to be 7.5 km in her 10th week),
n is the number of weeks (15 in this case).
[tex]S_{15} = (15 / 2) * (3 + 7.5)\\S_{15} = 7.5 * 10.5\\S_{15} = 78.75 km[/tex]
So, by her 15th training week, Montserrat will have run a total of 78.75 kilometers.
To know more about training:
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The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
5
5
A. Infinitely many
B. One
C. Two
D. Zero
Answer:B
Step-by-step explanation:
simple, there is one point of intersection or where the lines meet
Answer:
B: One solution
Step-by-step explanation:
The graphs show that the two lines intersect at one point. This point represents the ONE solution of this system of equations.
If the lines did not intersect, the system would have no solution.
If the lines coincide, the system would have infinitely many solutions.
Someone please help me It’s getting late and it’s due tomorrow
Explain why the equation
1- x= 5(x - 4) - 6x has no solution.
Answer:
After the distribution of the 5 and the addition of x to both sides, the x variable is cancelled out leaving 1 = - 20.
This statement is false. Hence, no solution
Step-by-step explanation:
1 - x = 5(x - 4) - 6x (Distribute 5)
1 - x = 5x - 20 - 6x (Combine like terms)
1 - x = -x - 20 add x to both sides
1 = - 20 False
One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio of the number of girl become 1:4. Find the difference between the number of boy and girl originally
Answer:
The number of boys are 18 and the number of girls are 30.
Step-by-step explanation:
The ratio of number of girls to the boys = 3 : 5
Let the number of girls is g and boys is b initially.
b : g = 3 : 5
5 b = 3 g ..... (1)
Now, girls are 6 + g and boys are b - 9
So, the ratio is
(b - 9) : (6 + g) = 1 : 4
4 b - 36 = 6 + g
4 b - g = 42 .... (2)
From ( 1 ) and ( 2 )
[tex]4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18[/tex]
And , g = 5 x 18/3 = 30
So, the number of boys are 18 and the number of girls are 30.
A group of people were asked if they had run a red light in the last year where 140 responded "yes," and 208 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Give your answer as a fraction or decimal.
Answer:
35/87
Step-by-step explanation:
To find the probability, we must find (total number of favorable outcomes)/ (total number of outcomes). We thus need to find the total number of outcomes. As people have only answered "yes" or "no", the total number of outcomes is 208+140 = 348.
The total number of favorable outcomes, or what we're looking for, is 140 (140 people responded that they had run a red light). Thus, our fraction is 140/348, or 35/87
Write the equation of the line in fully simplified slope-intercept form.
12
11
10
-12-11-10-9-8
1 2 3
5 6
8 9 10 11 12
-3
-4
-9
-10
Answer:
y=1/2x+6
Step-by-step explanation:
Simplify (4x - 6) - (3x + 6).
Ox- 12
O -X- 12
Ox+ 12
0-x + 12
Answer:
Ox-12
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(4x - 6) - (3x + 6) Remove the brackets
4x - 6 - 3x - 6 Collect like terms
4x - 3x - 6 -6
x - 12
The answer is A
Solve for x
-6/5x-4=-46
Answer:
x = 35
Step-by-step explanation:
-6/5x-4=-46
Add 4 to each side
-6/5x-4+4=-46+4
-6/5x=-42
Multiply each side by -5/6 to isolate x
-5/6 * -6/5x=-42 * -5/6
x = 35
Answer:
x = 35
Step-by-step explanation:
-6 / 5x - 4 = - 46
Add 4 to each side
- 6 / 5 x - 4 + 4 = - 46 + 4
- 6 / 5 x = - 42
To find x, multiply 42 by 5 and then divide by 6.
x = 42 × 5 / 6
x = 7 × 5
x = 35
0lease help I would really appreciate
Step-by-step explanation:
a)50°
b)75°
c)125°
d)d=40°
Answer:
Step-by-step explanation:
A)180-(60+70)=50
C)180-30=150 150/2=75
B)180-(35+20)=125
D)2d+d+60=180
3d+60=180
3d=120 ; d=40 ; 2d=40×2=80
solve for " x "
[tex]x = 42 - 9[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]x = 42 - 9[/tex]
➼[tex]\:x = 33[/tex]
Therefore, the value of [tex]x[/tex] is 33.
[tex]\sf\pink{Thank\:you. \:ヅ}[/tex]
Answer:
x =33
Step-by-step explanation:
x = 42-9
We are solving for x, which is already isolated
42-9 = 33
x = 33
Check 33+9 = 42
Solve for x.
3x + 7
2x + 3)
Answer: x = 34
Step-by-step explanation:
2x+3+3x+7=180
5x+10=180
5x=170
x = 34
¿Cuánto mide el lado de un terreno cuadrado, si su área 144 m2?
Answer:
72
Step-by-step explanation:
all you had to do was divide by 2
(b) Find the coordinate of the foot of the perpendicular from (4,-2) to line 2x-3y-4=0
Answer:
{3,-1}Step-by-step explanation:
[tex]carry\: on \: learning[/tex]
Solve for x. Round to the nearest tenth, if necessary.
K
L
99
х
15°
M
Answer:
x≈95,6
Step-by-step explanation:
x= cos 15⁰ x 99 ≈95,6
Can someone pleaseee help me been stuck on this problem?
Answer:
-10
-7
-4
-1
2
Step-by-step explanation:
Substitute in the x value
Remember a negative minus a negative is a negative.
Answer:
(-2,-10),(-1,-7),(0,-4),(1,-1),(2,2)
Step-by-step explanation:
f(x)=3x-4
f(x)=y
y=3x-4 ; x(-2)
y=3(-2)-4
y= -6-4
y= -10
y=3x-4
y = -1(3)-4
y= -7
y= 3x-4
y = 3(0) -4
y= -4
y= 3x-4
y = 3(1)-4
y= -1
y=3x-4
y=3(2)-4
y= 6-4
y =2
A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?
A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000
Answer:
B: The retiree has a pension savings of $51,000
Step-by-step explanation:
3/2 Find three rational numbers between and 5/2 ?
Answer:
Step-by-step explanation:
[tex]\frac{3*4}{2*4}=\frac{12}{8}\\\\\frac{5*4}{2*4}=\frac{20}{8}[/tex]
Three rational numbers:
[tex]\frac{13}{8};\frac{14}{8};\frac{15}{8}[/tex]
translate the sentence into an inequality
the sum of 2 and y is greater than 16
Answer:
2 + y > 16
Step-by-step explanation:
the sum of 2 and y is greater than 16
2 + y > 16
2 + y > 16
Question is in photo.
Thanks
Answer:
what do you mean for this question. What do you need help on?
What is the surface area of LMNOPQRS? If necessary, round your answer to the nearest tenth.
Answer:
5
Step-by-step explanation:
If f(x)=2x2+3x−6, determine the value of f(2)
Answer: 4
2x2+3(2)−6
lets make sure we do OOO (order of operations correctly)
2x2+3(2)−6
4+3(2)−6
4+6−6
10−6
4
Step-by-step explanation:
How many kilograms equals 984.2 grams?
Which best describes the product of these two radicals?
√2-√7
The product is rational because both V2 and V7 are rational numbers,
The product is irrational because both 2 and 7 are irrational numbers.
The product is rational because at least one factor is rational,
The product is irrational because one of the factors is an odd number.
Answer:
second option: product is irrational because both are irrational
Step-by-step explanation:
The second option which is the product is irrational because both are irrational numbers.
What is irrational number?
These are those numbers which are impossible to be written in the form of p/q.
How to determine the product?
We have been the given the following numbers.
[tex]\sqrt{2 } and \sqrt{7}[/tex] and we have been asked to find the description of the product of both. We know that these are irrational numbers because it cannot be written in the form of p/q. When we multiply this we can get root 14 which is also a irrational number.
Learn more about irrational numbers at https://brainly.com/question/124495
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Find the length of the missing side
Answer:
25 in and 9 cm
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side
A
x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
x = [tex]\sqrt{625}[/tex] = 25
B
x² + 12² = 15²
x² + 144 = 225 ( subtract 144 from both sides )
x² = 81 ( take square root of both sides )
x = [tex]\sqrt{81}[/tex] = 9
Answer:
A) [tex]\sqrt{7^{2} +24^{2} }[/tex] = 25
B) [tex]15^{2} -12^{2} = B^{2}[/tex]
[tex]B^{2} =81\\[/tex]
B = 9
Step-by-step explanation:
The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared + 15, and the base is labeled 8 x + 10. Which expression represents the total perimeter of the pool edge? 12x2 + 15 20x2 + 25 12x2 + 8x + 25 24x2 + 16x + 50
Answer:
C. 12x² + 8x + 25
Step-by-step explanation:
A. 12x² + 15
B. 20x² + 25
C. 12x² + 8x + 25
D. 24x² + 16x + 50
Hypotenuse = 8x²
Height = 4x² + 15
Base = 8x + 10
Perimeter of the triangle = hypotenuse + height + base
= 8x² + (4x² + 15) + (8x + 10)
= 8x² + 4x² + 15 + 8x + 10
Perimeter of the triangle = 12x² + 8x + 25
C. 12x² + 8x + 25
Answer:The answer is C