Answer:
Step-by-step explanation:
x^2 – 12x + 11 = 0
(x-11)(x-1)
x= 11, 1 completing the square
Which of the following best describes the Great Compromise?
A.
Only three-fifths of slaves in the southern states would be counted in the population used to assign the number of representatives in Congress.
B.
Congress would hold the power to levy taxes, but the individual states would determine how the taxes would be collected and paid to the federal government.
C.
The president would be indirectly elected by a super-majority (three-fifths) vote of the state legislatures.
D.
The states' representation in the lower house of the legislature would be divided according to population, and all states would be represented equally in the upper house.
Answer:
D.
Step-by-step explanation:
the Senate where each state has two Senators, and the House of Representatives where each state has a number of Representatives based on population.
The product of 3x2 and 5x4 is equivalent to...
A. 15x6
B. 15x8
C. 8x6
D. 8x8
Answer:
3*2=6. 5*4=20 and 6*20=120
now,
15*8=120
so the correct ans is 15*8
Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr. Rachal used 236. How many more experiments do they do with the tool? How many tools are left?
Answer:
Step-by-step explanation:
Total number of tools for both = 564.
Dr Brown used 386 tools for 6 experiments.
average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]
= 64[tex]\frac{1}{3}[/tex]
Dr Rachal used 236 tools for 8 experiments.
average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]
= 29[tex]\frac{1}{2}[/tex]
i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])
= 2.7668
Dr Brown can do two more experiments.
The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])
= 11.1186
Dr Rachal can do 11 more experiments.
ii. Number of tools left after Dr Brown's experiments = 564 - 386
= 178
Number of tools left after Dr Rachal's experiments = 564 - 236
= 328
suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
need help again math 7th grade
Answer: 1/2 as a fraction
.5 as a decimal
Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5
Answer:
Fraction: 1/2, Decimal: 0.5
Step-by-step explanation:
From numbers 1 to 6, 3 of them are odd numbers, 1, 3, and 5
So 3/6 of the numbers are odd numbers, now we have to see if we can simplify 3/6, which u can, 3/6 = 1/2
1/2 is ur fraction, to find ur decimal divide 1 by 2, and u get 0.5
PLEASE HELP
An 18 ounce jar contains 510 grams of grape jelly. How many kilograms of grape jelly does the jar contain?
1 kg = 1000 grams
A) 5.1 kg
B) 0.52 kg
C) 0.51 kg
D) 51 kg
Answer:
the answer is 5.1 killograms
Step-by-step explanation:
hope this helps
NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Given:
The equation of circle is
[tex](x+3)^2+y^2=9[/tex]
To find:
The polar form of given circle.
Solution:
We have,
[tex](x+3)^2+y^2=9[/tex]
[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex](x^2+y^2)+6x+9=9[/tex]
Subtracting 9 from both sides, we get
[tex](x^2+y^2)+6x=0[/tex]
We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].
[tex]r^2+6(r\cos \theta)=0[/tex]
[tex]r(r+6\cos \theta)=0[/tex]
[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]
We know that, r is radius it cannot be 0. So,
[tex]r+6\cos \theta=0[/tex]
[tex]r=-6\cos \theta[/tex]
Therefore, the correct option is A.
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
18.6 divided by 3 long division sorry to lazy
Find the value of x
please help asap!!!
Answer: 108
Step-by-step explanation:
x = 108
Can someone help me?? The question is in the pic
Answer:
first one has 1 solution, second one have infinity solutions, third one has no solutions and the last one has 1 solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
One solution:
[tex]\frac{1}{5}f-\frac{2}{3 }= \frac{-1}{5}f+\frac{2}{3}\\\\[/tex]
4a -3 +2a = 7a - 2
Infinitely many solution:
-1.7v + 2.8 = 1.4v-3.1v + 28
No solution:
A store sells 4 T-shirts for $38.64. What is the unit cost per T-shirt?
Answer:
9.66
Step-by-step explanation:
38.64/4
9.66
Which of the following tables represents a proportional relationship?
A.
x 2 3 4 5
y 3 6 9 12
B.
x 2 4 6 8
y 3 4 5 6
C.
x 1 4 7 10
y 0 3 6 9
D.
x 2 4 6 8
y 3 6 9 12
Answer:
Step-by-step explanation:
the answers c
Need a quick answer please
Answer:
X=22
Step-by-step explanation:
All the angles in every triangle must add up to 180 so we can subtract 23 and 135 from 180 to get 22.
Answer:
x=22
z=135
y=23
Step-by-step explanation:
First, start with x in the picture. All angles in a triangle add up to 180 degrees. So, add 135+23 and then subtract that from 180.
135+23=158
180-158 = 22 degrees
Angle z is congruent to the larger angle on the other triangle. So, that means z=135.
Angle y is equal to the angle across from it. Y=23
SOLVE ASAP:
mass of 42.5 and a volume of 5.4 cm3 what is its density
Answer:
7,870,370
give me brainliest
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
6th grade math i mark as brainliest
Answer:
36/s
Step-by-step explanation:
The / means divide since I couldn't find the division sign. The / is also another way to write the division sign.
Answer:
36/s
Step-by-step explanation:
What is the primary function of this body system?
A. The protection of vital organs from injury
B. The chemical breakdown of food into smaller pieces
C. The transport of nutrients, water, and oxygen to body cells
D. The production of hormones that regulate growth and metabolism
can someone help me with this?
Answer:
1 is C and 2 is B
Step-by-step explanation:
Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?
Answer:
La familia paga 72 €.
Step-by-step explanation:
Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.
Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.
3 adultos* 12 €= 36 €
Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.
6 niños* 8 €= 48 €
Sumando el total pagado por la entrada para adultos y para niños se obtiene:
36 € + 48 €= 84 €
La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:
3 "packs" de 3 entradas* 4 €= 12 €
Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:
84 € - 12 €= 72 €
Finalmente, la familia paga 72 €.
The diagram above shows a right prism container filled with water up to 8 cm in height.
Question : Calculate the volume,in cm³,of water needed to completely fill up the container.
nvm ima delete this sry I thought I could do It lol
A coat has a regular price of $38 it is marked down 25% what is the sales price of the coat
28.5
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Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set, and P = {1, 3, 5, 7}. What is upper P superscript single-quote baseline? (1 point) A. {2, 4, 6, 8} B. {1, 2, 3, 4, 5, 6, 7, 8} C. {1, 3, 5, 7} D. {1, 3, 5, 7, 8}
Answer:
A. {2, 4, 6, 8}
Step-by-step explanation:
"U" is the set of whole numbers form 1 to 8
"P" is the set of odds within that, so that leaves P' as the evens.
Solve the equation:
2x+1>7
Answer:
-3 and infant soultion
Step-by-step explanation:
please since i gave u answer can u answe my recent question
what is 3/5 divided by 1/2 as a reduced fraction
Tora took a short trip of 320 miles. He stopped to have lunch after he had driven 120 miles. Write the fraction of the trip he had completed by lunch in simplest form. Then write the fraction as a decimal.
Answer:
The fraction of the trip completed is ³/₈
The fraction of the trip completed in decimal form is 0.375
Step-by-step explanation:
Given;
total trip to be completed by Tora, = 320 miles
distance completed by Tora, = 120 miles
The fraction of the race that Tora has completed is given as;
[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]
As a decimal the fraction is written as;
[tex]\frac{3}{8} = 0.375[/tex]
your answer must be simplified
−3 < x -10
Answer:
[tex]x>7[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\-3<(x-10)\\Now,\\By\ adding\ both\ the\ sides\ by\ 10,\\(-3)+10<(x-10)+10\\Hence,\\10-3<x-10+10\\7<x\\Or,\\x>7[/tex]
The amount of money that Kelly makes varies directly with the number of hours she works. If Kelly makes $306 when she works 18 hours, what is the constant of variation for her earnings?
A) 15
B) 17
C) 18
D) 20
32 + -3 • 4 – (–5) =
Answer:
The correct answer would be 25
Step-by-step explanation:
32+(−3)(4)−(−5)
=32+−12−(−5)
=20−(−5)
=25
Hope this helps have an amazing day!!
Answer:
121
Step-by-step explanation:
32+(-3)×4-(-5)
29×4-(-5)
116-(-5)
116+(+5)
121