Answer:
[tex]\large\boxed{49}[/tex]
Step-by-step explanation:
Belivers to skeptics = 15 : 7
From the above ratio, we know that:
Believers = 15
Skeptics = 7
There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.
15 : 7 = 105 : x
Ratios can be written as fractions. Rewrite to simplify.
[tex]\frac{15}{7}[/tex] = [tex]\frac{105}{x}[/tex]
Cross multiply (numerator * denominator = numerator * denominator)
7 * 105 = 15 *x
735 = 15x
Divide both sides of the equation by 15
x = 49
There were 49 skeptics.
Hope this helps! Let me know if you have any questions!
-El papá de Susana es carpintero y en su trabajo utiliza clavos y tornillos de distintas medidas. Ahora, le advirtieron que dentro del muro hay una tubería a 4 centímetros del lugar en el que clavará las maderas. Por lo que Susana quiere saber qué clavos usará su papá. Pero como la medida de los clavos viene en pulgadas, ella quiere conocer la medida en centímetros, para saber qué medida de clavos no dañaría la tubería. Completa la siguiente tabla, convirtiendo la medida de los clavos de pulgadas a centímetros. ¿Cuáles clavos debe usar el Papá de Susana para no dañar la tubería?
Answer:
la tabla no esta, asi que busque la pregunta por interenet y encontre lo siguiente:
medida de los clavos equivalencia en
en pulgadas centimetros
1 pulgada 2.54 cms
¹/₂ pulgada 2.54 x 0.5 = 1.27 cms
³/₄ pulgada 2.54 x 0.75 = 1.905 cms
¹/₈ pulgada 2.54 x 0.125 = 0.3175 cms
3¹/₂ pulgadas 2.54 x 3.5 = 8.89 cms
Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?
Answer:
2 hours and thirty minutes
Step-by-step explanation:
3+2=5
5/2=2.5
Can someone help with this. Heads up it's ratios
Answer:
The median side measures 92 yards
Step-by-step explanation:
Let's call x, y, and z the measures of the sides of the triangle.
The ratios between them are:
[tex]\displaystyle \frac{x}{y}=\frac{4}{7}[/tex]
[tex]\displaystyle \frac{x}{z}=\frac{4}{2}=2[/tex]
The first ratio gives the relation:
[tex]\displaystyle y=\frac{7x}{4}[/tex]
The second ratio can be solved for z:
[tex]\displaystyle z=\frac{x}{2}[/tex]
Since the perimeter is 299 yards:
[tex]x+y+z=299[/tex]
Substituting the above relations:
[tex]\displaystyle x+\frac{7x}{4}+\frac{x}{2}=299[/tex]
Multiplying by 4:
[tex]4x + 7x+2x=1196[/tex]
Joining like terms:
[tex]13x=1196[/tex]
Dividing by 13:
[tex]x=1196/13[/tex]
x=92
Now calculate y:
[tex]\displaystyle y=\frac{7\cdot 92}{4}[/tex]
y = 161
[tex]\displaystyle z=\frac{92}{2}[/tex]
z=46
The median side measures 92 yards
Help me out plz struggling. Thx
A scout troop sold cups of lemonade to raise money for a camping trip. The graph
below represents the situation.
Answer:
Part A- 3
Part B- 5
Step-by-step explanation:
Answer:
Part A: 3
Part B: 5y
step explanation:
A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.
Answer:
$125,500
Step-by-step explanation:
Make "x" equal the selling price of the house
7% of x is the commission --->
.07 * x = 8785
x= 8785/ .07
x= 125500
A function is a relationship between two quantities, called the ___ and the ___?
Answer:
domain and the range
Step-by-step explanation:
plzzz help find the missing length indicated????
Answer:
The missing length is 64
Step-by-step explanation:
In the given figure
∵ The triangle is a right triangle
∵ There is a line drawn from the right angle ⊥ to the hypotenuse
→ There is a relation between the side of length 60, the part of the
length 36, and the length of the hypotenuse
∵ The length of the hypotenuse = x + 36
∴ (60)² = 36 × (x + 36)
→ Multiply the bracket by 36
∴ 3600 = 36(x) + 36(36)
∴ 3600 = 36x + 1296
→ Subtract 1296 from both sides
∵ 3600 - 1296 = 36x + 1296 - 1296
∴ 2304 = 36x
→ Divide both sides by 36 to find x
∴ 64 = x
∴ The missing length is 64
What is the mapping notation that will transform triangle ABC to triangle A'B'C'?
Answer:
A'B'C' = A'(8,-3) B'(8,-6) C'(2,-6)
Step-by-step explanation:
Hope this helps you.
Answer:
Abc=e A
Step-by-step explanation:
someone explained
(02.05 LC) Solve the inequality 6x − 8 > 4x + 26. (5 points) Group of answer choices x 9 x > 17
The answer is x >1 7
manuel calculates the business costs and profits to produce and hiking backpacks. manuel's profit is his revenue minus his expenses.
A. Write a function to present the profit Manuel makes selling n backpacks.
B. Graph the profit function. What is a reasonable domain for this function for one year if his revenue is between $4,000 and $30,000? Is the function discrete or continuous? Explain
C. How much is his profit if he sells 43 backpacks? Explain
setup cost is $5,250 assembly cost is $54/ backpack revenue is $159/ backpack
Answer:
A. P = n × $105 - $5,250
B. Please find attached the required graph
The domain for the range ($30,000 to $4,000) = 25 < n < 189
C. The profit from selling 43 backpacks = -$735
Step-by-step explanation:
A. The given parameters are;
The setup cost = $5,250
The assembly cost = $54/backpack
The revenue = $159/backpack
Let n represent the number of backpack produced
Therefore, we have;
Profit, P = $ 159 × n - $54 × n - $5,250
P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250
P = n × $105 - $5,250
B. Please fins attached the graph of the profit function, created with Microsoft Excel
The domain for a range of revenue of $30,000 to $4,000 is given as follows;
The domain for the range ($30,000 to $4,000) = 25 < n < 189
C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735
Suppose x, y, and z are different positive integers such that xy, yz, and zx are all perfect
squares. Must x, y, and z be perfect squares? Why or why not?
Answer: Yes, and the numbers are 4, 36, and 9
Step-by-step explanation:
Yes, because it x=4, y=36, and z=9 then 4 * 36=144, 144=12*12 4*9=36, 36=6*6, and 9*36=324, 324=18*18. As you can see they are all perfect squares and 4, 36, and 9 are all perfect sqaures too.
help math pls geometry
Answer:
The point is (8,2)
Step-by-step explanation:
Is this a square or rectangle or rhombus, etc.? Yes, because all the lines are all parallel.
Are AB and FG are parallel to each other right? Yes, so that means whatever you do to F will happen to G and we can start on A, it goes 6 down, then two to the right.
Since all lines are parallel how many steps we do on A to get F, we have to do to B to get G. So, (8,2).
Hope this helps!
(6x+1)+(-6x+1)=0
What property is this
Answer:
i believe this is the distriputive property
Step-by-step explanation:
hope this helpss
Find the equation of the line.
Use exact numbers.
Answer:
y=-3/2x+3
Good luck:)
Find the value of x.
Answer:
Step-by-step explanation:
I realize that the time is passed.... but FYI
BD is Geometric Mean
That's mean BD² = 6 × 5 = 30 ⇒ BD = √30
x² = BD² + 6² = 30 + 36 = 66 ⇒ x = √66
y = √55
Answer: 66
Step-by-step explanation:
ΔADC and ΔABD are similar (AAA)
Therefore the cooresponging sides are in proportion: AD/AC = AB/AD
The sum of 5 and twice a number is at most 27?
5 + 2x ≤ 27 is the answer
Suppose $P$ is the point $(5,3)$ and $Q$ is the point $(-3,6)$. Find point $T$ such that $Q$ is the midpoint of segment $\overline{PT}$.
help qwikly
Answer:
(1,4.5)
([tex]\frac{5+(-3)}{2} ,\frac{3+6}{2}[/tex])
Angle RST and Angle GSH are vertical angles. Angle RST = 5b + 20 and
Angle GSH = 7b - 4. What is the measure of Angle RST?
.
Answer:
The measure of angle RST is 80
Step-by-step explanation:
Since they are vertical angles, then they must be equal as vertically opposite angles are equal
Thus;
5b + 20 = 7b - 4
7b - 5b = 20 + 4
2b = 24
b = 24/2
b = 12
But RST = 5b + 20
substitute for b
RST = 5(12) + 20
RST = 60 + 20
RST = 80
Consider the function f(t) = StartRoot 3 t minus 9 EndRoot. You cannot take the square root of a negative number, so 3t – 9 must be zero.
Answer:
Greater than or equal to
Step-by-step explanation:
Answer:
1. Consider the function f(t) = .You cannot take the square root of a negative number, so 3t – 9 must be ____ to zero.
answer: C. greater thanless than or equal to✔
2. Set up an inequality showing that the radicand cannot be negative.
answer: A. 3t-9≥ 0
3.What is the domain of the function?
answer: D. Domain: t ≥ 3
hope this helps :)
A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h at timet seconds after
launch is given by the equation h(t) = -16t2 + 128t + 12. How many
seconds until the rocket is 40 feet?
0.23 seconds
4.5 seconds
5.67 seconds
7.77 seconds
8.09 seconds
11.34 seconds
12.52 seconds
Answer:
The rocket is at 40 feet after 7.77 seconds.
Step-by-step explanation:
[tex]h(t) = -16t^{2} + 128t + 12\\40= -16t^{2} + 128t + 12\\16t^{2} - 128t + 28 = 0\\4(4t^{2} - 32t + 7) = 0\\[/tex]
We use the quadratic formula to solve for t.
[tex]t=\frac{32+\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32+\sqrt{1024-112} }{8}\\t=\frac{32+\sqrt{912} }{8}\\t=4+\frac{\sqrt{57} }{2}\\t=\frac{32-\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32-\sqrt{1024-112} }{8}\\t=\frac{32-\sqrt{912} }{8}\\t=4-\frac{\sqrt{57} }{2}[/tex]
We take the positive answer which is 7.77
urgent!! hal earns $5 doing chores for his parents. he also earns $10 a week for each dog, d, he walks.
Answer:
5+10d=x The dogs he walks are the ind variable and the total money he earns is the dep variable
Step-by-step explanation:
If he earns five dollars a week then that is a confirmed amount which means it’s just $5. Then for every dog he walks that’s $10 so if he walks 0 dogs then he gets $0.
The dogs he walks is ind because this variable is the variable that changes and effects the total whereas, the dep is the total because that’s what changes depending on the ind variable
n - 3 11/12 = 8 6/7 What is n?
One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square units. Find the length of the longer base.
Answer:
The length of the longer base he 35 units
Step-by-step explanation:
Here, we want to find the length of the longer base of the trapezoid
Mathematically, we can find the area using the formula;
1/2( a + b) h
where a is the shorter base
b is the longer base
h is the height
Let the shorter base be x
The other base is 5 times this length and that makes 5 * x = 5x
Height is the average of both bases;
(x + 5x)/2 = 6x/2 = 3x
Substituting these in the formula, we have ;
1/2(x + 5x)3x = 441
3x(6x) = 882
18x^2 = 882
x^2 = 882/18
x^2 = 49
x^2 = 7^2
x = 7
But the longer base is 5x and that will be 5 * 7 = 35 units
Sophia earned $480 in 32 hours. How many dollars did she earn per hour?
Sophia earne
dollars per hour.
Answer:
15 dollars an hour
Step-by-step explanation:
480/32=15
Answer:
Sophia Earned $15
Step-by-step explanation:
All you have to do is divide the amount she earned by the hours she worked to see how much money she earned per hour, then you get $15 dollars per hour.
What is the valur of y in the equation 2(3y - 6) = 0?
Answer:
y=2
Step-by-step explanation:
Distribute the 2 into 3y and -6:
6y-12=0
Move the -12 to the other side by adding both sides by 12:
6y-12+12=0+12
=
6y=12
divide both sides by 6:
y=2
please help my sister needs to turn this in soon
Snowy Mountain in Alaska has an elevation of 7,093 feet. Together, Snowy
Mountain and Mammoth Mountain in California have a combined elevation of
18, 152 feet. What is the difference in elevation between Snowy Mountain and
Mammoth Mountain?
The difference in elevation between Snowy Mountain and Mammoth Mountain is
feet.
Answer:
11,059
Step-by-step explanation:
If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.
Answer:
I believe 3966
Step-by-step explanation:
18152-7093=11059
11059-7093=3966
What is the value of x if 5^x+2 =5^9
Answer: 7
Step-by-step explanation: If they equal each other, then that must mean that the exponents equal. Therefore, we can draw out the conclusion that x+2=9, which is x=7
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200
Answer:
300+200
Step-by-step explanation:
did not give a equation
Answer:
300 + 200x
Step-by-step explanation:
200 is the one that's changing so it has the x.
Please help, will mark you as the brainiest! Please do NOT answer if you don’t know it!
Answer:
if oq or and os are bisectors then MN is 40, also it is a perpendicular angle so it would also be 40
Step-by-step explanation: