Answer:
75
Step-by-step explanation:
175= 25+2a
The number of laps that Swimmer A swam was 50 laps.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we suppose that:
Swimmer A swam x lapsSwimmer B swam y laps.Then, according to the given data, we have:
x + y = 175 laps
y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).
Thus, we get a system of two equations as:
[tex]x + y = 175\\y = 25 + 2x\\[/tex]
From second equation, putting value of y in first equation, we get:
[tex]x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps[/tex]
As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.
Learn more about solving system of linear equations here:
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Evaluate: 19 - 3k] = 3
Answer:
k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.
Answer:
Step-by-step explanation:
The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.
Let x be the height of the antenna.
We can find the length of the antenna using the trigonometric ratios:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying tan ratio in the right angle triangle:
tan70 = x/15
x =15tan70
x = 41.212 feet ≈ 41.23 feet
Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.
Learn more about trigonometry here:
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3. The function f(x) = -3.5x + 45;
0
rectangle in terms of its width,
x. Find the area of the rectangle
when its width is 9.5 units.
help in pic ANYONE??
BRAINLIEST please please helpp!! Brainliest for correct answer!!! Use the triangle formed by the vertices L(-3, 4), A(0, 5), and D(2, 1). L'A'D ' is a triangle formed by using the transformation rule (x, y) -> (-x, y).
A. what type of transformation is LAD -> L'A'D'?
B. Are LAD and L'A'D' congruent or similar?
Answer:A: reflection. B: congruent
Step-by-step explanation:(x, y) -> (-x, y) means that the triangle reflected from the (x, y) part of the graph to the (-x, y) part of the graph.
The Smiths spend 8% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $3,920 on entertainment. What was their total budget last year?
Answer:
4.8
Step-by-step explanation:
5v + 15rv – 5v + vr
please help
Can someone help with this plz Its brining down my grade
- Sketch the solution to each system of inequalities.
A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answer.
Answer:
45.5
Step-by-step explanation:
First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.
Answer:
$24.50
Step-by-step explanation:
10.50 * 2 1/3 = 24.50
I would appreciate brainliest, have an amazing day
What is the IQR of:
44, 38, 51, 59, 53, 47, 52
i forget how to do iqr lol
Answer: 9
Step-by-step explanation:
At 6:00 the outside air temperature was 15°F. By 8:00 the temperature had dropped 9°F, and by 11:00 I had dropped another 12°. What was the temperature at 11:00?
Answer:
- 6°F
Step-by-step explanation:
Given :
Temperature at 6:00 = 15°F
Temperature dropped by 9°F by 8:00
Temperature by 8:00 = 15°F - 9°F = 6°F
Temperature dropped another 12°F by 11:00
Hence, Temperature at 11:00 will be :
6°F - 12°F = - 6°F
Temperature at 11:00 = - 6°F
One year, an estimated 598,000 sandhill cranes migrated in March. The next March, an estimated 660,000 sandhill cranes migrated. To the
nearest percent, what is the percent change in the number of migrating cranes from the first March to the next?
Answer:
10.3679%
rounded - 10% increase
Step-by-step explanation:
That's the closest I got
Plot the graph for the equation2y+6=0 , and then select the matching graph below.
Answer:
y = -3
Step-by-step explanation:
2y + 6 = 0
2y = -6
y = -3
Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.
So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)
Similar triangles (please explain how to do this)
Answer:
Step-by-step explanation:
The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group
Answer:
3 runners will be in the last group
Step-by-step explanation:
So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.
I hope this helps you!!!
please help me! Ten men and 15 women apply for a job. All are equally qualified and 4 applicants are selected at random for hiring. Find the probability, to the nearest thousandth, of hiring exactly 3 women. FYI: i don't want links at all.
Answer:
3,600
Step-by-step explanation:
15 equality of 4 applicants which is subductive to the inequality of quotients.. Simplified to 3,600
help help help help help plsss
i need serious answer
DON'T WASTE MY PÓINTS~
DO NOT ANSWER IF YOU NOT KNOW~
Answer:
solution given:
B.
CE=2×2=4[base side is double to the line of mid point]AB=15/2=7.5[b is a mid point]m<AEC=75°[ corresponding angle]5.
given:
BD=x+1
CE=x+10
we have
2BD=CE
2(x+1)=x+10
2x+2=x+10
2x-x=10-2
x=8
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
Need math help plzzzz neddd helps no links or imma report u 20 points plzz helps
Answer:
9
Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.
Mr.Thomson owns a rectangular property theater is 52 feet long and 35 feet wide. He adds a new triangular property directly behind his existing property. The base length of the triangular property is equal to the length of the rectangular property.
The area of the whole property is 2,600 square feet. Based on the diagram what is the maximum height , in feet , of the triangular property.
Answer:
C. 30.0ft
Step-by-step explanation:
Easy question and answer 15 points uh huh uh huh!!!
Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.
Step-by-step explanation:
I NEED HELP ON THIS GEOMETRY QUESTION!!!
Answer:
a. 4
Step-by-step explanation:
Copy and paste this:
I now that the area is: A = b×h/2, so: 16 = (x+4)(x)/2
-> x²+4x-32=0 -> x= -8 and x=4
x = -8 is impossible, so x=4
Answer: A. 4
Step-by-step explanation:
The equation for the area of a triangle is height times( base divided by 2)
4 + 4 = 8
8/2 is 4
4 times 4 is 16
The product of two consecutive even numbers is 224. What are these two numbers?
Answer:
14 and 16
Step-by-step explanation:
They are the ONLY consecutive even numbers
And also
x and (x+2)
x(x+2)=224 ( product of a number and the consecutive of that number)
x ²+ 2x-224=0
(x+16)(x-14) =0
x=-16 or 14
In this case 14 and (14+2) 14 and 16
The integers are either 14 and 16 or -14 and -16.
Determine whether the set of
lengths could form a triangle.
5, 2, and 3
-
Answer:
no
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST be true for all combinations
5+2 is greater than 3
5+3 is greater than 2
3+2 IS NOT grater than 5
A factory manufactures 9 x 105 packs of gum each month. They send these out to 16 different distribution centers. If each distribution center gets the same number of packs, how many are sent to each center?
Answer: do you meant they produce 900 000 packs each month?
Then each distributor gets 900 000 /16= 56250 packs
Matthew is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 12 inches x 14 1/4 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/4. How many total square inches of construction paper does Matthew need for his project?
PLEASE HELP ME FOR REAL!!!
Answer:
I got 278 5/8
Step-by-step explanation:
the question stated square inches which I referred
to as area. You multiply both rectangles than add them together. I may be wrong but I hope this gives you a lead! :)
The total square inches of construction paper does Matthew need for his project is,
⇒ 278.63 inches²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Matthew is cutting construction paper into rectangles for a project.
And, He needs to cut one rectangle that is 12 inches x 14 1/4 inches.
He needs to cut another rectangle that is 10 1/2 inches by 10 1/4.
Hence, We get;
Area of first rectangle = 12 x 14 1/4
= 12 x 57 / 4
= 171 inhces²
And, Area of second rectangle = 10 1/2 x 10 1/4
= 21/2 x 41/4
= 107.63 inches²
Hence, The total square inches of construction paper does Matthew need for his project is,
⇒ 171 + 107.63 inches²
⇒ 278.63 inches²
Learn more about the rectangle visit:
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Please help me.
find x and AC value
Answer:
x=7 and AC is 46
Step-by-step explanation:
hope it helps
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16[tex]x^{2}[/tex] +1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16[tex]t^{2}[/tex] + 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16[tex]t^{2}[/tex] ( subtracting 1500 from both sides of equation )
25 = [tex]t^{2}[/tex] ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
[tex]\sqrt{25}[/tex] = t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
Simplify: 14 - ³√216
Answer:
8
Step-by-step explanation:
Simplify the expression.
To find the volume of a figure you need to use which of the following formulas?
Answer:
l x w x h
Step-by-step explanation:
volume is usually length x width x height
