A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
area of the shaded region.
Answer:
942 6/7 cm²
Step-by-step explanation:
Since O = Center of bigger circle, OA = Radius of bigger circle.
∴ Area of smaller circle - Area of bigger circle = Area of shaded part.
∴ Area of smaller circle = 22/7 × 10²
= 22/7 × 100
= 2200/7
= 314 2/7 cm²
∴ Area of bigger circle = 22/7 × 20 ²
= 22/7 × 400
= 1257 1/7 cm²
∴ Area of shaded part = 1257 1/7 - 314 2/7
= 942 6/7 cm²
Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?
Answer:
Elisa y Romina comieron 5/16 de la pizza completa cada una.
Step-by-step explanation:
Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:
(5/2) / 8 = X
2.5 / 8 = X
0.3125 = X
0.3125 = 5/16
Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
given the information in the diagram, which thermo best justifies why lines j and k must be parallel?
As Soon As Possible! (please)
Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?
A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
You drive your car for 3 hours at an average speed of 130 km per hour. How far did you go? *
Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9
r s + 14s when r=6 and s=1/4
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.
Step-by-step explanation:
Therefore the third side should be less than 12+15 = 27cm
And also the third side cannot be less than the difference of the two sides
Therefore, the third has to be more than 15-12 = 3cm
Thus, the third side could be the length more than 3cm and less than 27cm.
Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you
Answer: (-4, -1)
This means x = -4 and y = -1 pair up together.
======================================================
You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.
Here's what your steps could look like
-2x + 5y = 3
-2(3y-1) + 5y = 3
-6y + 2 + 5y = 3
-y + 2 = 3
-y = 3-2
-y = 1
y = -1
x = 3y-1
x = 3(-1) - 1
x = -3-1
x = -4
Therefore, (x, y) = (-4, -1) is the solution
-------------------
As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.
If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)
Also, note how plugging x = -4 and y = -1 into the second equation leads to...
-2x+5y = 3
-2(-4)+5(-1) = 3
8 - 5 = 3
3 = 3
We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.
The number of miles a car travels varies directly with the number of gallons of gas in its tank of a car with 20 gallons of gas can drive 560 miles which equation represents the number of miles an
Answer:
28 miles per gallon
560/20=28
Step-by-step explanation:
Plz give me brainliest
Number of miles a car travels are 28.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Number of gallons of gas = 20
A car with 20 gallons of gas can drive 560 miles
Based on the given conditions,
= [tex]\frac{560}{20}[/tex]
= 28
Hence, number of miles are 28.
Find out more information about division here
https://brainly.com/question/10850080
#SPJ2
Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5
Answer:
The value of P(B) = 0.5
Step-by-step explanation:
Given:
Value of P(A and B) = 0.20
Value of P(A|B) = 0.40
Find:
The value of P(B)
Computation:
P(A and B) = P(A|B) x P(B)
By putting value of P(A and B) and P(A|B)
⇒ 0.20 = 0.40 x P(B)
⇒ The value of P(B) = 0.20 / 0.40
⇒ The value of P(B) = 20 / 40
⇒ The value of P(B) = 1 / 2
The value of P(B) = 0.5
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?
Answer: 2 heads
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(heads)
=
heads
total
=
heads
heads+tails
=
4
4+2
=
4
6
=
2
3
The experimental probability is
2
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
2
3
=
n
3
2
3
(33)
=
n
3
(33) Multiply both sides by (33)
23
= 3n Simplify
6
= 3n Simplify
2
= n Divide both sides by 3
Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.
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Need a break?
HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL
Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!
Step-by-step explanation:
√320x^3 yz
simplify square roots
Answer:
[tex]8x\sqrt{5x}[/tex]yz
Step-by-step explanation:
before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun
Answer:
Lunar Eclipse
Step-by-step explanation:
Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
Which equation models this situation? 26 more than a number is 37.
Answer:
x+26=37
Step-by-step explanation:
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours
can someone please pls help me
when the “a” value is negative in any quadratic what do you know about the graph?
Answer:
when a is negative, the parabola opens downward
Step-by-step explanation:
Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?
Answer:
25 km
Step-by-step explanation:
[tex]\frac{5}{25} :\frac{y}{125}[/tex]
y · 25 = 5 · 125
25y = 625
25y ÷ 25 = 625 ÷ 25
y = 25
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.
Answer:
d
Step-by-step explanation: