Answer:
pat
Step-by-step explanation:
2.75+3+2.5=8.25 pat
2+2.25+3.5=7.5 toby
8.25 > 7.5
A city council organized a marathon race to promote good health. There were 3 times as many female participants as male participants in the marathon. If the total number of participants was 812, how many participants were male
Answer:
609 males
Step-by-step explanation:
A city council organized a marathon race to promote good health.
Let the number of
Females = x
Males = y
There were 3 times as many female participants as male participants in the marathon.
3x = y
If the total number of participants was 812,
x + y = 812..... Equation 1
We substitute 3x for y in Equation 1
x + 3x = 812
4x = 812
x= 812/4
x = 203 females
3x = y
Solving for y
3(203) = 609 males
The number of males participants = 609
The value of x is -1/4. Order these expressions from least to greatest:
x; 1 – X; x– 1; -1 divided by x
Solve the system of linear equations below, using substitution method.
8x+9y=368x+9y=36
3x+4y=163x+4y=16
Given:
The system of equations is
[tex]8x+9y=36[/tex]
[tex]3x+4y=16[/tex]
To find:
The solution of the given system of equations using the substituting method.
Solution:
We have,
[tex]8x+9y=36[/tex] ...(i)
[tex]3x+4y=16[/tex] ...(ii)
From (ii), we get
[tex]3x=16-4y[/tex]
[tex]x=\dfrac{16-4y}{3}[/tex] ...(iii)
Putting this value in (i), we get
[tex]8\left(\dfrac{16-4y}{3}\right)+9y=36[/tex]
Multiply both sides by 3.
[tex]8(16-4y)+27y=108[/tex]
[tex]128-32y+27y=108[/tex]
[tex]-5y=108-128[/tex]
[tex]y=\dfrac{-20}{-5}[/tex]
[tex]y=4[/tex]
Putting y=4 in (iii), we get
[tex]x=\dfrac{16-4(4)}{3}[/tex]
[tex]x=\dfrac{16-16}{3}[/tex]
[tex]x=\dfrac{0}{3}[/tex]
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,0).
Jeff can paint 28 square feet every 15 minutes. Angela can paint 115 square feet every hour. Who can paint faster, and by how many square feet per hour?
Answer:
Angela by 3 sf per hour
Step-by-step explanation:
60÷15=4
28×4=112
115-112=3
410 is what percent of 65?
Answer:
15.85%
Step-by-step explanation:
you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.
simply the following: (2+5i)^2 - (2+i)
Answer:
- 23 + 19i
Step-by-step explanation:
[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]
Amal has 1/2 pound of baked beans. She divides the beans into 8 equal servings. Write and solve an equation to find how many pounds of baked beans are in each serving
Answer:
1/16 pound or 0.0625 pound beans.
Step-by-step explanation:
According to the problem, calculation of given data are as follows,
Total baked beans = 1/2 pounds
Number of serving = 8
if distribute equal beans in each serving than,
8 serving = 1/2 pound
So, 1 serving = 1/(2×8) pound
= 1/16 pound or 0.0625 pound beans.
Hence, each serving consist of 0.0625 pound baked beans.
The perimeter of a isclose triangle is 24in and the length of the side is 4 in find the 2 other sides
Answer:
10 inches
Step-by-step explanation:
Given
Shape: Isosceles Triangle
[tex]Perimeter=24\ in[/tex]
[tex]Side = 4\ in[/tex]
Required
Find the length of the other two sides
Represent the other sides with x.
Since it is an isosceles triangle, 2 sides are equal.
So, we have:
[tex]x + x + 4 = 24[/tex]
[tex]2x + 4 = 24[/tex]
Collect Like Terms
[tex]2x = 24-4[/tex]
[tex]2x = 20[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{20}{2}[/tex]
[tex]x = \frac{20}{2}[/tex]
[tex]x = 10[/tex]
The other sides are 10in each
9 = - 5b - 23 write your answer as a decimal
9=-5b-23
9+23=-5b
32=-5b
32/-5=b. ..(here 32/-5= 32 upon -5)
-6.4=b
The required simplified value of b for the given expression is b = -2.8.
GIven that,
To determine the simplified value of b for the expression 9 = - 5b - 23.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the given expression,
9 = - 5b - 23
Simplifying,
-5b = 23 - 9
-5b = 14
b = -14 / 5
b = -2.8
Thus, the required simplified value of b for the given expression is b = -2.8.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
In triangle ABC, the sum of the measures of angle A and angle B is 120. The sum of the measures of angle B and C is 110. Find the measure of the greatest angle of the triangle.
Answer:
70
Step-by-step explanation:
the sum of the three is 180, so c is 60, a is 70, and b is 50.
math work pls help :)
Answer:
C ASA
Angle side Angle.....
A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.
Answer:
3:7
Step-by-step explanation:
The number of rabbits is 12 while the total number of animals
7 + 12 + 6 + 3 = 28
So the ratio of rabbits to animals is 12:28 = 3:7
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
1. Please help if possible :)
Answer:
54
Step-by-step explanation:
6x=9x-27
x=9
9*9-27=54
I will give BRAINLIEST:)
Answer:
A'C'=AC=3
Step-by-step explanation:
Answer:
C: 3 units
Step-by-step explanation:
Just think about it... 180 degrees rotated is exactly opposite rotation degree.
If you rotate 90 degrees, the triangle will end up on quadrant 4.
Rotate 360 degrees, the triangle will stay in the same quadrant.
In conclusion, C is the best option
Look at the information below, decide what type of substance the paint is.
ANSWER NEEDED ASAP
Answer:
A mixture?
Step-by-step explanation:
please helpppp and explain
Answer:
angle BAC=50-2x
Step-by-step explanation:
angle ACD=115+x
then, angle ACB=180-(115+x) because it is a supplementary angle
angle ABC=angle ACB because it is an isosceles triangle
angle BAC=180-2[180-(115+x)]
angle BAC=180-360+230-2x
angle BAC=50-2x
Convert to %
1) 1/2
2) 1/4
3) 1/3
4) 3/10
5) 6.5/10
Answer:
1) 50%
2) 25%
3) 33.33 %
4) 30%
5) 65%
A restaurant charges a single price for its buffet. The total bill for a table of six people having the buffet was $294. Each of the 8 people at a second table also had the buffet. What was the total bill at the second table?
Solve the equation:
-35 = -30 - b
Plzzzzz help
solve the following simultaneous equations using an algebraic method.
5x + 3y = 11
2x - 7y = 29
will be grateful!
two step equation -9 + 2x = .-31
Answer:
Step-by-step explanation:
Add 9 to both sides
2x = -22
Divide both sides by 2
x = -11
The track team is trying to reduce their time for a relay race. First they reduce their time by 1.2 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.60 minutes, what was their beginning time?
Answer:
5.2 Minutes, or 5 minutes and 12 seconds
Step-by-step explanation:
You can solve this problem by working backward. Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already. When we do this, we get 4.0. When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.
Please help will give brainliestw
Answer:
6 square units
Step-by-step explanation:
In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.
I got 3 unites for the height and 4 units for the base
4 x 3 = 12 square units
however the formula for a triangle is Ab/2
so divide 12/2 = 6
So its 6 square units
please help! it would be much appreciated
Answer:
20
Step-by-step explanation:
From 86 to 118 what is the percentage increase a percent
Answer:
37.2093%
Step-by-step explanation:
(V2−V1)|V1|×100
=(118−86)|86|×100
=3286×100
=0.372093×100
=37.2093%change
=37.2093%increase
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 =160
D. 160t - 75 = 10
Could you show your work? Thanks!
Answer:
Step-by-step explanation:
The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.
Gin bakes a perfectly circular pizza with a diameter of 10 inches, and he selst for $0.20 per square inch What is the cost for
the entire pizza? Express your answer to the nearest whole ola
Plz help
Answer:
$15.70
Step-by-step explanation:
The formula for a circle's area is πr^2 and so the radius is 10/2 or 5. 3.14*5^2 is 78.54. Multiply this by $0.20 to get the total cost of the pizza. The total cost is $15.70.
Triangle PQR has the following coordinates:
P(-9, -12)
Q(-6, -13)
R(-7, -4)
Where is Q’ after a translation 9 units right and 11 units up?
Answer:
P(0, -1)
Q(3, -2)
R(2, 7)
Step-by-step explanation:
9 units right : +9 to each x-coordinate
11 units up: +11 to each y-coordinate
P(-9+9, -12+11) = P(0, -1)
Q(-6+9, -13+11) = Q(3, -2)
R(-7+9, -4+11) = R(2, 7)
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?