Answer:
28 cars
Explanation:
cars + trucks = 20Let "n" be the cars added in the collection
cars : 20 * 40% = 8 carstrucks : 20 - 8 = 12 truckssolve:
[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]
[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]
[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]
[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]
[tex]\rightarrow \sf -7 =0.25n[/tex]
[tex]\rightarrow \sf n = 28[/tex]
Thus, he needs to add 28 cars in the collection to make the collection 75% cars.
Answer:
28 cars
Step-by-step explanation:
Total number of cars and trucks = 20
Cars make up 40% of the collection
⇒ Number of cars = 40% of 20
= 0.4 x 20
= 8 cars
⇒ Number of trucks = total collection - number of cars
= 20 - 8
= 12 trucks
To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:
(Added cars + existing cars) to total collection = 75%
⇒ x + 8 : x + 8 + 12 = 75 : 100
⇒ x + 8 : x + 20 = 75 : 100
[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]
⇒ 100(x + 8) = 75(x + 20)
⇒ 100x + 800 = 75x + 1500
⇒ 100x -75x = 1500 - 800
⇒ 25x = 700
⇒ x = 28
Therefore he would need to add 28 cars to his collection to make his collection 75% cars.
Check
Number of cars = 8 + 28 = 36
Number of trucks = 12
Total collection = 36 + 12 = 48
Number of cars / total collection = 36/48 = 0.75 = 75%
geometry. find RN. pls help!!
Apply Thales theorem
[tex]\\ \rm\rightarrowtail \dfrac{MR}{RN}=\dfrac{MQ}{QP}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{10}{RN}=\dfrac{8}{5}[/tex]
[tex]\\ \rm\rightarrowtail 8RN=50[/tex]
[tex]\\ \rm\rightarrowtail RN=50/8[/tex]
[tex]\\ \rm\rightarrowtail RN=6.25[/tex]
Answer:
RN = 6.25
Step-by-step explanation:
Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Therefore,
MQ : MP = MR : MN
⇒ 8 : (8 + 5) = 10 : (10 + RN)
⇒ 8 : 13 = 10 : (10 + RN)
⇒ [tex]\sf\dfrac{8}{13}=\dfrac{10}{10+RN}[/tex]
Cross multiply and solve:
⇒ 8(10 + RN) = 10 × 13
⇒ 80 + 8RN = 130
⇒ 8RN = 130 - 80
⇒ 8RN = 50
⇒ RN = 50 ÷ 8
⇒ RN = 6.25
Answer the question 3523+4353
Answer:
7,876
Step-by-step explanation:
brainliest please
Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.
What is the length of line segment LJ?
9 units
12 units
15 units
18 units
Answer:
I think 9 units is the correct answer
Answer:
its 15 units
Step-by-step explanation:
momma told me it was right
Write the standard equation of the circle with center (-10,-5) that passes through the point (-7.5)
The standard form of the equation of the circle is
(Type an equation. Simplify your answer.)
Answer:
(x +10)² +(y +5)² = 9
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The radius of your circle is the distance between the center and the given point. Those points lie on the same horizontal line, so the radius is the difference of their x-coordinates:
r = (-7) -(-10) = 3
The equation of the circle is ...
(x -(-10))² +(y -(-5))² = 3²
(x +10)² +(y +5)² = 9
What is the area of the parallelogram QRST?
[tex]\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2[/tex]
PLEASE HELP ME MATH IS HARD
Use the rectangle shown in the coordinate plane to answer each question.
1. Rotate rectangle KLMN 90º counter-clockwise about the origin. List the ordered pairs for each vertex of K'L'M'N'.
2. What do you notice about the ordered pairs of the original figure and the ordered pairs of the rotation about the origin?
Answer:
See below ↓
Step-by-step explanation:
1)
On rotating KLMN by 90° counterclockwise,the new coordinates are :K' = (-3, -6)L' = (-5, -4)M' = (-2, -1)N' = (0, -3)2)
What do we notice here?We notice that on rotating from Quadrant II to Quadrant III, we find that all the x and y values become negative (other than N' which changes intercepts from x to y)Answer:
Step-by-step explanation:
Rotate counter-clockwise = from right towards left
Rotate 90° about the origin = We can think that our rectangle is a flag and that we added a pole to it. The pole is rotated counter-clockwise about the origin until we have the 90°. Where is the flag now positioned?
(Draw a line from origin to one of the rectangle's points; draw another line from origin that is ⊥ to the previous one. You rotate that point 90° from right to left and will lend on the new line.)
1. K (-6, 3) L (-4, 5) M (-1, 2) N (-3, 0) → K' (-3,-6) L'(-5, -4) M'(-2, -1) N'(0, -3)
2. We notice that the rule for rotating 90° about the origin is (x, y)→(-y, x)
What is the value of X?
Sin 55° = cos X.
Enter your answer in the box.
Answer:
x = 35°
Step-by-step explanation:
sin x = cos (90° - x)
sin 55° = cos (90° - 55°)
sin 55° = cos 35°
x = 35°
Which of the following numbers is the sum of 82.545 and 128.580 written with the correct number of significant digits? A. 211.1225 B. 211.125 C. 211.13 D. 211.130
When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125Addition of Numbers
Mathematical OperationsGiven Data
Number one = 82.545Number two = 128.580Apart from addition of numbers there are other mathematical operations we can perform on integer numbers like in our example above
they are
SubtractionMultiplicationDivisionModulus ---This will return the remainder of the numbers when dividedTotal Number = 82.545 + 128.580Total Number = 211.125
Learn more about Mathematical Operations of numbers here:https://brainly.com/question/10679598
Answer:
B
Step-by-step explanation:
Took the test, have a good day.
Naomi was measuring and cutting yarn in inches for an art project.she cut 9 pieces of the yarn.
Answer:
i don't know this question but you can just measure it
1. quadrilateral with 4 right angles
Answer:
Square
Step-by-step explanation:
Mr. and Mrs. Williams hope to send their daughter to college in twelve years. How much money should they invest now at an interest rate of 8.5% per year,
compounded continuously, in order to be able to contribute $9000 to her education?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]
sketch the graph of y=2x^2-3x-4
A bag contains 9 green marbles, 6 purple marbles, 4 red marbles, 10 blue marbles, and 7 orange marbles. One marble is randomly selected from the bag.
What is the probability that the marble selected is blue or purple?
The probability that the marble selected is blue or purple is the likelihhood of selecting a blue or purple marble
The probability that the marble selected is blue or purple is 0.444
How to determine the probability?From the question, we have:
Green = 9
Purple = 6
Red = 4
Blue = 10
Orange = 7
So, the total number of marbles is:
Total = 9 + 6 + 4 + 10 + 7
Total = 36
The number of blue or purple marbles is;
Blue or purple = 10 + 6
Blue or purple = 16
So, the probability that the marble selected is blue or purple
p = 16/36
Evaluate
p = 0.444
Hence, the probability that the marble selected is blue or purple is 0.444
Read more about probability at:
https://brainly.com/question/251701
How many lines pass
through two points?
A. infinite
B. 1
C. zero
D. 2
Answer:
1
Step-by-step explanation:
Only 1 line can pass through two points.
A footbridge is being built across the river that will connect points A and B. If the length of each box represents 2 yards, approximately what will the length of the footbridge be?
Answer:
4 yards
Step-by-step explanation:
IG;youngdestinyofficial
Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.
Answer:
C. Area is the total distance around the outside of a shape.
Step-by-step explanation:
Answer:
Area is the total distance around the outside of a shape, Would be correct.
Step-by-step explanation:
7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular
Answer:
B. All four sides are congruent
Step-by-step explanation:
To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sidesFind the volume of the given prism.
Ans:60cm^3
Answer:
60 cm³
volume of triangular prism : area of base * Length
Given:
side of triangle : 4 cmside of triangle : 3 cmangle between 4 cm and 3 cm : 90°Length : 10 cmFind area of base:
[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]
[tex]\rightarrow \sf 6 \ cm^2[/tex]
Volume :
A * L6 * 1060 cm³Answer:
60 cm³
Step-by-step explanation:
To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.
⇒ Volume of prism = Area of triangle × Height of prism
Find the area of the triangle
⇒ Volume of prism = (Area of triangle) × Height
⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism
⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism
⇒ Volume of prism = (3 × 2) × Height of prism
⇒ Volume of prism = 6 × Height of prism
Substitute the height in the volume
⇒ Volume of prism = 6 × Height of prism
⇒ Volume of prism = 6 × 10
Solve for the volume.
⇒ Volume of prism = 6 × 10
⇒ Volume of prism = 60 cm³
ach of the
7
cats in a pet store was weighed. Here are their weights (in pounds).
5, 9, 9, 16, 12, 15, 6
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
Answer: 10.3, 9
Step-by-step explanation:
help please .and thank u :)
Answer:
5/8
Step-by-step explanation:
because 1 minus 3/8 is 5/8
FIND THE MISSING LENGTH.
Answer:
x = 9
x+7 = 16
Step-by-step explanation:
The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.
long side/short side = (x+7)/12 = 12/x
x(x +7) = 12²
x +7x -144 = 0 . . . . . subtract 144 to put in standard form
(x +16)(x -9) = 0 . . . . factor
x = 9 . . . . . . only the positive solution is useful here
The missing lengths are ...
x = DC = 9x+7 = DA = 16Solve
4x957+8465x563+834
please help i need an answer for my homework
Answer:
the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way
Answer:
4770457
you just need to calculate them
need help please again
Answer:
7 hours
Step-by-step explanation:
d=rt
d is distance
r is speed
t is time
here we need to find (t)
so d/r is t
so t is 455/65
t is 7
Three DVDs and four CDs cost $92. Two DVDs and three CDs cost
$65. Find the cost of each tape and CD.
Answer:
DVD: $16
CD: $11
Step-by-step explanation:
These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:
3x+4y=92
2x+3y=65
When graphed, the solution is at (16,11).
Therefore, one DVD costs $16 and one CD costs $11.
This semicircle has a radius of 8cm . What is the area of this figure?
Answer:
100.48 cm² (Option 2)⠀
Step-by-step explanation:
⠀
We know,
[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Area_{(semicircle)} = \dfrac{1}{2}( \pi {r}^{2} ) }}}[/tex]
⠀
Where,
r is the radius of the semicircle. Here, the radius is 8 cm .We will take the value of π as 3.14 .⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{2} \times 3.14 \times ({8})^{2} }}}[/tex]
[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{ \cancel2} \times 3.14 \times \cancel{64} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 3.14 \times 32 }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 100.48 }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Area_{(semicircle)} \approx \it 100.48 }}}[/tex]
⠀
Therefore,
The area of the semicircle is 100.48 cm² approximately .Answer:
100.48 cm² ( option 2 )
Step-by-step explanation:
Given:-
Radius of semicircle :- 8cmTo find:-
Area of the figureSolution:-
Area of semi-circle :-
[tex] \frac{1}{2} \pi \: r {}^{2} [/tex]
1/2 × 3.14 × 8²
[tex]100.48 \: cm {}^{2} [/tex]
Allen was making trail mix, but he only wanted to make of the recipe. If the whole recipe called for of a cup of peanuts, how many cups will he need to make of the recipe? Choose the model that matches the situation.
It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.
How many cups of nuts does Allen require to make the recipe?According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.
For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.
Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.
Learn more about recipes in: https://brainly.com/question/1320828
Answer:
1/6
Step-by-step explanation:
What is 45% of 69/3???
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Help please if ur good at math
Part (a)
[tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]
Part (b)
[tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]
Part (c)
[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]
Part (d)
[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]
Hope that helps!
what is the area of this object?
Answer: no idea
Step-by-step explanation:
Find the area of the parallelograms below. 21m 33m 21m
Answer:
a. 693²
b. 148.2 yd²
Step-by-step explanation:
The area of a parallelogram is the product of its base length and the height measured perpendicular to that base.
__
a.A = bh = (21 m)(33 m) = 693 m²
__
b.A = bh = (19 yd)(7.8 yd) = 148.2 yd²