Answer:
166 dogs were at the veterinary hospital
Step-by-step explanation:
Here, we want to know the number of dogs that were at the veterinary hospital
From the question, 72% of these animals are dogs
72% of a total of 230
Mathematically, the number of dogs are as follows;
dogs = 72% of 230
dogs = 72/100 * 230 = 165.6
since we cannot have a fractional dog, we round off to the nearest whole number which is 166 dogs
There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?
Answer : $36
Explanation:
To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.
25% = 25/100
25100=x48
14=x48
(1) * (48) = (4) * (x)
48 = 4x
(48)/4 = (4x)/4
12 = x
The discount is $12.
$48 – $12 = $36
What is the smaller zero of y = x2 - 6x + 8?
El 35 % de los estudiantes de un centro docente practica el fútbol. El 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol
Answer:
El 40.75% de los alumnos del centro docente estudian matemáticas.
Step-by-step explanation:
Dado que el 35 % de los estudiantes de un centro docente practica el fútbol, y el 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol, para determinar los porcentajes de estudiantes de matemáticas en el centro docente se debe realizar el siguiente calculo, suponiendo que el total de alumnos del centro sea 100:
35 x 70 / 100 = 2,450 / 100 = 24.5%
100 - 35 = 65
65 x 25 / 100 = 1,625 / 100 = 16.25%
24.5 + 16.25 = 40.75
Así, el 40.75% de los alumnos del centro docente estudian matemáticas.
Find the area of the shaded part of the triangle below. Round to the nearest tenth if needed.
Answer:
212.5
Step-by-step explanation:
For triangles, A = (bh)/2
You can do 15+25 to find the base, which is 40. From here do 17*40/2. You get 340. However, you need to remove the right triangle on the left side.
Again do 17*15/2, which you get 127.5.
From here subtract 127.5 from 340 and get 212.5
Answer:
Step-by-step explanation:
Rob saves £500 in his bank account.
The bank pays 4% simple interest
per year.
a) How much interest will he have
earned after five years?
b) How much money will he have in
the bank after five years?
Answer:
step 1: =4% of £500
=20
=20 × 5 years
= 100
= £500 + £100
=£600 ....therefore Rob will have £600 in his bank account after years.
The length of a rectangle can be represented by the expression (2 - 1) and the width can be
represented as (x + 3). The area of the rectangle is 12 square feet. Set up an equation that
could model this information, Solve the quadratic equation to determine a possible value for x,
PLS HELP ME AND IF YOU CAN SHOW HOW U GOT THE ANSWER IF NOT THATS OKAY!!! ILL ALSO MARK YOU BRANLIEST IF YOU HELPED ME!!! <333
Answer:
Step-by-step explanation:
The length is (x-1), not (2-1).
area = (x-1)(x+3) = 12 ft²
x²+2x-3 = 12
x²+2x-15 = 0
(x+5)(x-3) = 0
x = -5, 3
-5 is an extraneous solution, so x=3.
Length = x-1 = 2 feet
Width = x+3 = 6 feet
Please help, it would mean the world
Dirk bought a set of stamps. The number of stamps in the set he bought is divisible by 2, 3, 5, 6, and 9. Which set is it?
Answer:
Germany - 90
Step-by-step explanation:
Here are the options to this question
Germany 90
Sweden 78
Japan 63
Canada 75
The appropriate answer should be a multiple of 2, 3, 5, 6, and 9. That is when the number is divided by 2, 3, 5, 6, and 9 it should have a remainder of zero.
90 / 2 = 45
90 / 3 = 30
90 / 5 = 18
90 / 6 = 15
90 / 9 = 10
Thus, the appropriate number is 90
When 78 is divided by 5 and 9, the remainder is not zero
When 63 is divided by 2, 5 and 6, the remainder is not zero
When 75 is divided by 2, 3, 6 and 9, the remainder is not zero
List 2 pairs of Alternate Interior Angles shown in the diagram below. Show Your Work 12 34 56 78 m
Answer:
I th8nk it means diagonal like 1 and 4 or 2 and 3
6x – 2х + 8у – 6y simplified expression
Answer:
4x+2y
Step-by-step explanation:
6x is the answer to this question
PLZ HELP WILL GIVE BRAINLIEST
I WILL GIVE YOU BRAINLIST NEED HELP ASAP
The object below is made of six identical rectangular prisms. The overall dimensions of the composite solid are 24 inches (in.) by 24 inches by 6 inches. What is the volume, in cubic inches, of a single prism?
A
16in.3
B
96in.3
C
192in.3
D
576in.3
Volume of the single prism will be : 576 inches
What is a Rectangular Prism ?
In geometry a Rectangular prism is a polyhedron with two congruent and parallel bases. It has six faces and have twelve edges.
Volume of a Rectangular prism = L * B * H
= 24 * 6 * 24
= 3456 inch^3
Since , it consists of six identical Rectangular prisms
Volume of single prism will be = 3456 / 6
576 inch^3
Learn more about Rectangular Prism:
https://brainly.com/question/21308574?referrer=searchResults
#SPJ2
What is the Angled measurement of ∠B
Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
Open Ended Alexandra is working on a float for a parade She is making a sphere out of paper mache She knows the circumference of a cross section through the center of a sphere. How can Alexandra find the radius of the sphere?
Answer:
r=C2
Step-by-step explanation:
C=2r is the equation to find circumference
She needs to work backwards in this case, so:
r=C2
r=The circumference she knows x 2 x 3.14(or 3.14159265359)
-----------------------------------------------------------------------------------------------------------------
I would recommend writing/typing all of this(Especially if you need to show you work)!I hope this helped!
Pls help
The circle below has a diameter of 164 inches.
a) Find the circumference of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
b) Find the area of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
Answer:
The circle is the radius divided by equal, so it is the same as the other section meaning 16 as well
Step-by-step explanation:
Add the two ends to the result 32
Answer:
Step-by-step explanation:
yea what she said
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
Is anybody else here to help me ??
Answer:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
Step-by-step explanation:
I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.
I'm going to start with the left hand side and see if I can turn it into the right hand side.
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
I'm going to use a cofunction identity for the 2nd term.
This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.
[tex]\cot(x)+\tan(x)[/tex]
I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.
I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]
So we have:
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:
[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.
That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].
So since I want one term I'm going to write as a single fraction first:
[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]
Find a common denominator which is [tex]\cos(x)[/tex]:
[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]
By the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:
[tex]\frac{1}{\cos(x)}[/tex]
By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:
[tex]\sec(x)[/tex]
By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:
[tex]\csc(\frac{\pi}{2}-x)[/tex]
Let's just do it all together without all the words now:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
which rectangle represents dilation by a scale factor of 2 from the rectangles center?
Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be
( 2 x 1/2, 1 x 1/2 ) = ( 1, 1/2 )
2+7+12+17+22+27 sigma notation
Answer:
87 ?
Step-by-step explanation:
What is the area of the figure below?
Answer:
d.
Step-by-step explanation:
102 in.² should be the answer
I really need help please
Answer:
b= 64 m
Step-by-step explanation:
[tex]b^{2}[/tex] + [tex]48^{2}[/tex] = [tex]80^{2}[/tex]
[tex]b^{2}[/tex] = [tex]80^{2}[/tex] - [tex]48^{2}[/tex]
[tex]b[/tex] = [tex]\sqrt{80^{2}-48^{2} }[/tex]
= [tex]64[/tex] m
Answer:
is it math
Step-by-step explanation:
omg I really really really hate math
PLEASE ANSWER ASAP!!!!Find
Find f(-2) if f(x) = x^2 + x + 7
Answer:
9
Step-by-step explanation:
Please help don't answer just for points please'
Zoom in to see clearer :)
f m<1 = 2x + 3 and the m<4 = 3x + 2, then find the m<3.
Answer:
https://www.mrelisara.com/uploads/5/8/7/3/58736993/chapter_2_review_ws_answers.pdfStep-by-step explanation:
Please help if you know it. don't raid me for points
-user
1. x + 6 = 8
8 - 6 = 2
x = 2
2. 12 + y = 21
21 - 12 = 9
x = 9
3. h - 7 = 13
13 - 7 = 6
x = 6
4. 35 = 50 - 15
p = 50
5. 17 = 8 + 9
e = 8
6. 0 + 10 = 10
k = 10
Hope this helps! Have a wonderful day!
Fill in the blanks to the picture above
a.
What does the graph tell you about the boat ride?
b. For the graph find the domain and range.
C.
For the function d (above), how is the slope of the graph to the left of the vertex related to
the slope of the graph to the right of the vertex?
I give you 35 points, PLS HELP!!
If CD = 8√3, find AE
Answer:
not 35
Step-by-step explanation:
it 18
solve using quadratic equations (x+3)^2=25
Answer:
x=2 or x=−8
Step-by-step explanation:
What is b in the equation 15 + b = 23?