While reading a book, Shara
estimates that she is 75%
finished. If she has read 216
pages, then how long is the
book?
Answer:
288 pages
Step-by-step explanation:
Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)
[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]
Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)
[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]
Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)
[tex]100\\\\2.88 \times 100\\\\= 288[/tex]
Therefore, the book is 288 pages long.
does anybody know how to solve this problem?
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.
Last summer Myrtle, worked 45 hours and earned $443.70. She wanted to make at least $550 this summer. Using an inequality, find how many additional hours must she work in order to reach this goal?
Answer:
11 hours
Step-by-step explanation:
Using an inequality, find how many additional hours must she work in order to reach this goal?
From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤
Hence,
Let the number of additional hours = h
Last summer Myrtle, worked 45 hours and earned $443.70.
The amount she earned per hour = $443.70/45
= $9.86
Our inequality equation is written as;
She wanted to make at least $550 this summer.
$9.86 × h ≤ $550
= 9.86h ≤ 550
h = 550/9.86
h = 55.780933063 hours
Approximately the additional hours she has to work =
55.780933063 - 45 hours
= 10 .780933063 hours
Approximately = 11 hours
Someone help me with this
Answer:
D
Step-by-step explanation:
there are 9 digits.
and round it off to the nearest hundred million which is 3.
There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸
3,0×10⁸ m.s^-1
Hurry please need fast
Answer:
SAS
Step-by-step explanation:
One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS
Use the picture to find each of the following: HELPPP
If A = 3x2 + 5x - 6 and B = 2x2 + 4x + 7, then A + B equals
Answer:
5x² + 9x + 1
Step-by-step explanation:
Given:
A = 3x² + 5x - 6
B = 2x² + 4x + 7
A + B:
3x² + 5x - 6 + 2x² + 4x + 7
(3x² + 2x²) + (5x + 4x) - 6 + 7
5x² + 9x + 1
Please someone help!!!
Answer:
surface area of the cuboid
(2×2×5)+(2×12×5)+(2×12×2)
20+120+48
188 cm²
Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{\frac{2}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
The formula for the slope of two given lines given is 'rise over run'.⸻⸻⸻⸻
[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]
⸻⸻⸻⸻
We are given the points (3,5) and (8,7).⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
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Check the following pair of linear equations is consistent or inconsistent
5x - 3y = 11, -10x + 6y = -22
Answer:
Consistent
Step-by-step explanation:
It was a solution.
You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the string = 39 m
The kite is level with the top of a building that is 24 meters high.
We need to find the angle of elevation of the kite.
A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]
So, the angle of elevation of the kite is 37.97°. The correct option is (b).
JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?
Answer: 4/5
Step-by-step explanation:
Three quarters of the ducks in a pond are mallards.
What percentage of the ducks are mallards?
Answer:
75%
Step-by-step explanation:
Mallards = 3/4 of the ducks in the pond
What percentage of the ducks are mallards?
percentage of the ducks that are mallards = 3/4 × 100
= (3 * 100) / 4
= 300/4
= 75%
percentage of the ducks that are mallards = 75%
Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and
swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as
Ricardo. Which equation could you solve to find how long it will take John to catch up with Ricardo?
Does anyone know the answer?
Answer:
t = (t₁ · vr)/ (vj - vr) = 45 seconds
Step-by-step explanation:
Given:
Initial time from Ricardo t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,
John's velocity (speed) vj = 4 ft/s
Requested time when John catch Ricardo t = ?
During 15 seconds, Ricardo moved away
S = vr · t₁ = 3 ft/s · 15 s = 45 feet.
From that moment, the same time runs for both of them
Ricardo's path is S₁ = vr · t and John's path is S₂ = vj · t
S + S₁ = S₂ => S = S₂ - S₁ => 45 = vj · t - vr · t
When we draw t we get:
t ( vj - vr) = 45 t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds
t = 45 seconds
S₁ = vr · t = 3 · 45 = 135 ft
S₂ = vj · t = 4 · 45 = 180 ft
Can you please help me solve this??
Answer:
Step-by-step explanation:
1.25 yd x 2 yd x 1.5 yd
= 2.5 yd^2 x 1.5 yd
= 3 3/4 yd^3
answer is D
Builders are replacing the congruent roofs on House A and House B. What is the measure of
Someone please help me ?!?!?
Answer:
c
Step-by-step explanation:
Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.
Answer:
The correct answer is - 3 hours.
Step-by-step explanation:
Given:
Price of parts: $200
Price of labor: $75/hour
Total cost: $425
Solution:
Let x = x of hours work done on the car
The inequality can be represented as:
425 = 75x + 200
Solving this inequality, we find that
225 =75x
or
x = 3
Thus, It means that the mechanic will take at least 3 hrs to work on his car.
Explain why 4x+1 is equal to 2x+12
Una pequeña empresa dedicada a la fabricación de muebles lanzará al mercado un nuevo modelo de escritorio para escolares a un precio de S/ 125. Los costos fijos son S/ 4,750 y los costos variables S/ 75. Entonces, ¿cuántos escritorios se deben fabricar y vender para obtener S/ 25 000 de utilidad?
Answer:
Se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.
Step-by-step explanation:
La utilidad por cada escritorio se obtiene al sustraer los costes fijos y variables del precio, es decir:
[tex]u = S/ \,125 -S/\,4,75 - S/\,75[/tex]
[tex]u = S/\,45.25[/tex]
El número de escritorios a vender para obtener [tex]S/\,25000[/tex] se calcula mediante la siguiente regla de tres simple:
[tex]x = \frac{S/\,25000}{S/\,45,25} \times 1\,esc[/tex]
[tex]x = 552.486[/tex]
Puesto que la cantidad a vender es una variable entera, se debe redondear al entero más cercano. En consecuencia, se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.
Kinyua spent 1/4 of his net salary on school fees. He spent 1/4 of the remainder on electricity and water bills. He spent 1/9 of what remained on transport. If he finally has she. 8400 calculate his total salary
Answer:
Let his net salary = x.
He spent 1/4th of x on School fees
Remainder = 1-1/4 = 3x/4
He spent 1/4th THE REMAINDER on Electricity and Water Bils
1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16
He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand
New Remainder = 3x/4 - 3x/16
= 9x/16.
He spent 1/9th OF WHAT REMAINED ON TRANSPORT.
1/9 x 9x/16
=x/16
New Remainder
= 9x/16 - x/16
=x/2.
If he finally had 8,400
Then
x/2=8,400
x=2x8,400
x= 16,800.
This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!
need a answer for this please
Kris finds a bag of glass beads on sale for $10.77 and a pattern book on sale for $8.00.
Does she have enough money to buy all five items? If not, how much more money does she need?
This shape is made of a rectangular prism and a pyramid.
Find the total volume of this shape.
(A) 300 cubic units
(B) 225 cubic units
(C) 150 cubic units
(D) 125 cubic units
Answer:
I cant see the different side measurements
need help again pls and ty
Answer:
22 square units
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 11
h = 4
Work:
A = 0.5bh
A = 0.5(11)(4)
A = 5.5(4)
A = 22
someone please help me!!!!!!
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
Please help I literally don’t understand this at all
Answer:
x=13 y=10 z=3 d) 260
Step-by-step explanation:
vertex angles are congruent so you can set them equal to each other and solve
and then a straight like adds up to 180 so 180-(7(x-3)+5y)= your missing angle and then that angles is congruent to its opposite so 2(5z+15)=60
The book fair sold 60% of the books
donated to the book fair. They sold
72 books. How many books were
donated in all?
Answer:
120 Books
Step-by-step explanation:
60% of 120 is 72
I need to know how to do this
Answer:
Let's walk through the steps together!
Step-by-step explanation:
1
a) we know that the Pythagorean theorem is a^2+b^2=c^2
a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).
We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)
16^2=236
12^2=144
so the formula now says that 236+144=x^2
236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.
so x=20
b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).
a^2+b^2=c^2 -> 100+b^2=289
This means that b=[tex]\sqrt{289-100}[/tex]
so b=[tex]\sqrt{189}[/tex]
so b=[tex]3\sqrt{21}[/tex]
2
These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d
a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18
d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16
3
I can't see the full problem so unfortunately, I cannot help you
I hope this helped in your understanding!
-Suvi
You randomly choose a marble from a jar. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability of choosing a blue marble
Options:
8/27
2/5
8/25
4/12
pls answer quikly
Answer: 10/25 is the probability of choosing a blue marble.
Step-by-step explanation:
First, find out how many marbles there are in total. 3 + 10 + 8 + 4 = 25
Then, each number of marbles is how many out of 25. So, for example, red would be 3/25. Blue - 10/25. Green - 8/25. Yellow - 4/25
It asks you what the probability is, so, find the blue fraction that is out of 25, and thats the probability.
blue probability - 10/25green - 8/25yellow - 4/25red - 3/25Someone help me please want asap
Answer:
C
Step-by-step explanation:
Trust me bro.