Step-by-step explanation:
Let the number of psychology books be 'x'.
and that of sociology books be 'y'.
x + y = 317 (given)
Number of sociology books sold was 89 less than that of psychology books.
y = x - 89
Which means,
x + x - 89 = 317
2x = 317 + 89
2x = 406
x = 406/2 = 203
y = 203 - 89 = 114
Hence, 203 psychology books and 114 sociology books were sold.
verify X + y equal to y + X when:x=-8/9and y=-3/5
Given:
[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]
To verify:
[tex]x+y=y+x[/tex]
Solution:
We need to verify,
[tex]x+y=y+x[/tex]
Taking left hand side, we get
[tex]LHS=x+y[/tex]
After substituting the values, we get
[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]
[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]
[tex]LHS=\dfrac{-40-27}{45}[/tex]
[tex]LHS=\dfrac{-67}{45}[/tex]
Now,
Taking right hand side, we get
[tex]RHS=y+x[/tex]
After substituting the values, we get
[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]
[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]
[tex]RHS=\dfrac{-27-40}{45}[/tex]
[tex]RHS=\dfrac{-67}{45}[/tex]
Clearly,
[tex]LHS=RHS[/tex]
Hence verified.
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
Answer:
B
Step-by-step explanation
f(x)=x2-4x-5
Becomes
f(x)=x2-5x+x-5
Take out the common factor
f(x)=(x-5)(x+1)
Equate the given function equal to 0
0=(x-5)(x+1)
And then
x-5=0 -- x=5
x+1 = 0 == x=-1
Answer:
B
Step-by-step explanation:
we are given a quadratic function
we want to figure out the form which we don't need change
so according to the question
[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]
rewrite -4x as x-5x:
[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]
factor out x:
[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]
factor out -5:
[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]
group:
[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]
hence our answer is B
Can anybody help me with this problem?
Answer:
$830
Step-by-step explanation:
x/2=200+215
x/2=415 multiply by two on both sides to get x alone
x=830
Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!
Answer:
2x=80°
x=40°
40°+20°=60°
Step-by-step explanation:
all triangles are 180°
Thank you for the help
What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{(-2)^3=\bf -8}[/tex]
[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{-8(9)= \bf -72}[/tex]
[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]
[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]
[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]
[tex]\mathsf{-2^2=\bf 4}[/tex]
[tex]\mathsf{= -12+4(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= -12+4(9)}[/tex]
[tex]\mathsf{4(9)= \bf 36}[/tex]
[tex]\mathsf{-12 + 36 = \bf 24}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Megan has a baseball card collection containing 10 cards. She graph the value of these 10 cards on a scatterplot as shown
Answer:
a basketball card generally increases in value over time (second one)
Step-by-step explanation:
1. it doesn't always increase
3.No it would be around 0.75
4.No it would be around $5.50 I think
Pls help I need this now
13 km
5 km
What is the length of the missing leg?
PLEASE HELP FAST!!!!!!!!!
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
4.
2
Round off 14.9028 to the nearest
hundredths
Answer:
14.9000 is the answer
Step-by-step explanation:
round it
Answer:
can you be more clear
Step-by-step explanation:
I will give you BRAINLIEST for the correct answer
Answer:
a or b
Step-by-step explanation:
if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all
Step-by-step explanation:
If you realise, the quadrilateral is made up of 2 triangles,
therefore the area = 2 x 1/2 x base x height
[tex] = 2 \times \frac{1}{2} \times 12 \times 4 \\ = 12 \times 4 \\ = 48 {units}^{2} [/tex]
2m² + 4m - 70
Factor and please show steps
Answer:
5 / -7
Step-by-step explanation:
[tex]2m^{2} + 14m - 10m - 70\\2m ( m + 7 ) - 10 ( 2m - 7 ) \\therefore, ( m + 7 ) ( 2m - 10) \\or M = 5 / -7[/tex]
help me pzz please please
Answer:
Step-by-step explanation:
i dont get it
Answer:
just multiply al the sids like you would with a square
carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?
Answer:
14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70
Step-by-step explanation:
Can someone help me out with this?
Jerry's Ice Cream Hut had Chocolate or Vanilla shakes. On the 4th of July they sold 1,440 shakes total with the ratio of chocolate to vanilla being 6:9. How many chocolate shakes did they sell? Be sure to add a picture of your work showing your tape diagram. Answer using a complete sentence.
Answer: 576
Step-by-step explanation:
Find the height of a parallelogram with an area off 41 square meters and a base of 8.2 meters. Include the measurement of the shape. First to get it right gets brainliest
Answer:
I'm go take 8.2 subtract by 41 and I got 32.8
Step-by-step explanation:
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
Answer:
The question has a picture attached of both rectangular prisms which I have attached and solved.
Answer: 1320 cm³
Step-by-step explanation:
top prism = 5×12×10=600
lower prism = 15×12×(15-10) = 720
Adding both volumes
720 + 600 = 1320 cm³
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?
Answer:
The surface area of the sphere is = [tex]99426.41 yd^2[/tex]
Step-by-step explanation:
The area of a sphere can be calculated using this formula:
[tex]A=4\pi r^2[/tex]
However, we have a little problem: we do not have our radius yet to utilize in the formula above.
We can get our radius from the circumference of the circle which has been given to us.
circumference = [tex]2 \times \pi \times r[/tex]
[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]
We now have our radius. we can input it into equation 1 above
The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]
WILL GIBE BRAINLEST
Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D
I NEED HELP WITH THIS
Answer:
∠HGJ + ∠KJG = 180°
So, ∠KJG = 62°
What is the range for the graph shown? A) -3 ≤ y ≤ 2 B) -3 and 2 C) -3 ≤ y ≤ 3 D) -2 ≤ y ≤ 3
1. Name the ray in the figure
Answer:
The correct answer is option c.
Step-by-step explanation:
Have a nice Day!
and can I maybe have brainliest? Thanks!
Emilio has to run 71
2
miles every week to train for the football team. If he runs 11
2
miles every day, how many days will
it take him to run 71
2
miles?
It will take Emilio
days to run 71
2
miles.
Answer:
7 days or, more specifically 7.455 days
Step-by-step explanation:
71 miles divided up into groups of 11
71 mi. ÷ 11 mi. at a time
71 ÷ 11 = 6.455
rounds up to 7 days
6 days will it take him to run 712 miles.
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.
Given
Emilio has to run 712 miles every week to train for the football team.
If he runs 112 miles every day
Based on the given conditions
= [tex]\frac{712}{112}[/tex]
= 6.35
≅ 6 days
Thus, 6 days will it take him to run 712 miles.
Find out more information about division here
https://brainly.com/question/1575906
#SPJ3
I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz
Answer:A
Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so
Answer:
The answer to this is a because it has a sequence of three
classify the quadrilateral please
gjfjdjdxjdjdjdjdjdjdhdh
Answer:
It's a square
Step-by-step explanation:
All its sides are equal
What’s the area of the polygon?
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
Separate it into 2 parts:
The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.
7 x 6 = 42 in^2
The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.
11 x 6 = 66 in^2
Total:
66 + 42 = 108 in^2
Answer:
108 [tex]in ^2[/tex]
Step-by-step explanation:
This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).
Starting with the top-right rectangle:
We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:
[tex]l=12-6=6[/tex] in
Now that we know l and h, we can evaluate the area of the first rectangle, which is
[tex]A= 6 *4= 24[/tex] in^2
Now for the bottom rectangle:
We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:
[tex]A=12*7=84[/tex] in^2
Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,
[tex]A=24+84=108[/tex] in^2
QED
BRAINLYEST!! What can you conclude from the scatterplot shown below?
Answer:
first one
Step-by-step explanation:
Answer:
Positive is the answer.
urgent, help pls. :)
Answer:
rational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation: