x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.
Answer:
11
Step-by-step explanation:
11
What is the leading coefficient and constant of this problem?
(8
2/7*3/8>3/8 because 2/7>1
what property is 5(8+3)=5*8+5*3?
Answer:
distributive property
Step-by-step explanation:
5(8+3)=5*8+5*3
This is an example of the distributive property
The 5 is distributed to each of the terms inside the parentheses
Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn a 60% passing grade?
Answer:
She would need 5 more correct answers.
Step-by-step explanation:
This is from the AMC 8 1999 (the question). You can just search up the solution but okay.
70% of 10 is 7 so she got 7 arithmetic questions.
40% of 30 is 12 so she got 12 algebra questions.
60% of 35 is 21 so she got 21 geometry questions.
She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.
60% of 75 is 45 questions correct.
She got 40 questions correct.
She needed 5 more correct answers to get 60%.
Answer:
Step-by-step explanation:
problems solved in arithmetic=10×70 %=7
problems solved in algebra=30×40 %=12
problems solved in geometry=35×60 %=21
total problems solved=7+12+21=40
problems required for passing=75×60 %=45
so more questions required for passing=45-40=5
ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.
OPTION NUMBER D IS CORRECT
D.Both B and C.
Step-by-step explanation:
function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).
can u pls help me with this thanks
Hey!!!
<a and <b are complementary angles.
Those angles which are exactly 90 degree are called complementary angles.
hope it helps..
Can anyone help me out please
Answer:
5/23
Step-by-step explanation:
if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23
Hope this helps!!! :)
HELP WILL DO ANYTHING TO GET ANSWERS
Answer:
24. 40 minutes approximately
25. 8 days
Step-by-step explanation:
24. 40 minutes
Anna: 1 hour
Peter: 3 hours
Maria: 6 hours
A way to solve this kind of question is to think about how much they can perform given the same amount of time.
Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)
Peter: 3 hours x 2 6 hours (In 6 hours Peter can clean 2 houses)
Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)
Working together they can clean the house 9 times faster.
It is 0.66 hours, or approximately 40 minutes
25. 8 days
It climbs 3 feet up but then it falls 2 feet down while sleeping during
the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.
14 weeks is expressed as a percentage of 50 weeks is?
Answer:
28%
Step-by-step explanation:
Fraction= 14 out of 50 weeks
To find percentage multiply the fraction by 100
14/50 * 100
= 1400/50
= 28 percent
Answer:
28%
Step-by-step explanation:
50 ws ................ 100%
14 ws ......................x%
x = 14*100/50 = 14*2 = 28%
Can someone help me with this please!!!
Answer:
first itself we should do the answer and only we can answer it
Step-by-step explanation:
Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13
Answer:
[tex]3y - 2x = 13[/tex]
Step-by-step explanation:
Given
Points (-14,-5) and (4,7)
Required
Find its linear equation in a standard form
To find the linear form, we start by calculating the slope of the line
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]
[tex]m = \frac{7 + 5}{4 + 14}[/tex]
[tex]m = \frac{12}{18}[/tex]
Simplify fraction to lowest term
[tex]m = \frac{6*2}{6*3}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]
We have
[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]
[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]
Multiply both sides by 3
[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{3(y+5)}{x+14}[/tex]
Multiply both sides by x + 14
[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]
[tex]2 * (x + 14) = 3(y+5)[/tex]
Open brackets
[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]
[tex]2x + 28 = 3y+ 15[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]
[tex]28 = 3y+ 15 - 2x[/tex]
Subtract 15 from both sides
[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]
[tex]28 - 15 = 3y - 2x + 15- 15[/tex]
[tex]13 = 3y - 2x[/tex]
Reorder
[tex]3y - 2x = 13[/tex]
Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]
What is the slope of the line described by the equation below?
y- 5= -3(x - 17)
O A. -3
B. 3
O c. 5
OD. -5
Hellppp
PLEASE ANSWER ASAPPP
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
1. The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
2. The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
3. The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
4. The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
5. The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answer:
1, 2, 3, 4
Step-by-step explanation:
1) works 60y+(-60y)=0
2) works(-60y)+60y=0
3)works (-35x)+35x=0
4) works 35x+(-35x)=0
5) doesn't work (-35x)+100x doesn't equal 0
Answer:
1,2,3,4
Step-by-step explanation:
how many different measurements are found in this diagram ¿
pls help this is due in 20 min pls help.
Answer:
32 2/5
Step-by-step explanation:
Twice of the width is 10 4/5
So 10 4/5 plus 5 2/5 is 16 1/5
Then you add it to 16 1/5 because it is the perimeter and it has the same sides
Answer:
4. [tex]32 \frac{2}{5}[/tex]
Step-by-step explanation:
so the formula for perimeter is l + l + w + w
the width is 5 2/5 and the length is 5 2/5 * 2
that means the length is 10 4/5
so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]
simplified is 10 4/5 + 20 8/5
simplified is 30 12/5
simplified is [tex]32 \frac{2}{5}[/tex]
How much is a penny and a quarter
Answer:
check google
Step-by-step explanation:
Answer: 26¢
Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢
What is the value of x?
A-14
B-15
C-16
D-17
Answer:
A
Step-by-step explanation:
The answer is a because first you need to add up 110+110+70
You would get 290
Then subtract 360-290
You would get 70
Divide 70/5
You get 14, the answer.
Answer: A
Step-by-step explanation:
May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?
Answer:
The simple interest she earns is $80
p=500
r=8
t=2
Now,
SI=p×t×r/100
SI=500×2×8/100
SI=80
Answer:
[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]
Step-by-step explanation:
Given:
May invested $500 at 8% p.a. for 2 years.
Solve for:
The simple interest she earned.
Step 1: Define the formula to calculated the simple interest
Interest = Principal x Rate x Year
Step 2: Perform the calculation
With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2
Interest = 500 x 0.08 x 2 = 80$
Hope this helps!
:)
To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.
(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)
(You dont need to explain just answer it)
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
Answer: A = $804 18 tickets cost $10 and 52 cost $12
Step-by-step explanation:
A = $804 18 tickets cost $10 and 52 cost $12
B = $736
C = $830
D = $170
NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)
Answer:
y
Step-by-step explanation:
Associative Property a(bc)=(ab)c
1/4(4y)=(1/4(4))y
y
find the greatest common factor (3x^4y^2+12x^2y^3+6x^3y4)
Answer:
3x^2y^2
Step-by-step explanation:
the gcf is 3x^2y^2 since it is the common factor in all of the terms
What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *
Answer:
A =141.4875
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 16.17 * 8.75
A =141.4875
A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20
Answer:
D
Step-by-step explanation:
It would 75:100
We then can simplify that by dividing by 5 so we get
15:20
Answer: 15:20
Step-by-step explanation:
75% tables are used out of 100%
The ratio will be 75:100 = 15:20
If 5 deli sandwiches cost $29.75, how much will 8 sandwiches cost?
Question 10 options:
a)
$37.75
b)
$29.75
c)
$0.16
d)
$47.60
The volume of this rectangular prism is 6x2. What does the coefficient 6
mean in terms of the problem?
height = x
width = X
length = 6x
o
A. The length of the prism is 6 units.
B. The total volume of the prism is 6 cubic units.
O
C. The length is 6 times the width.
D. The width is 6 times the height and the length.
Answer:
C
Step-by-step explanation:
The length is 6 times the width.
6 times x is 6x
You are welcome and don't for get to click THANKS
Answer: C
Step-by-step explanation:
Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?
Answer:
7
Step-by-step explanation:
10-3=7
Abraham currently has a balance of $3,075.21 in an account he has held for 13 years. He
opened the account with an initial deposit of $2,152. What is the simple interest rate on the
account?
2.3%
7.7%
3.3%
11.0%
Answer: 3.3%
Step-by-step explanation:
Amount = prt / 100
3075.21 = (2152 x r x 13)/100
Answer:
the answer is letter c
Step-by-step explanation:
I really need help on these 2 questions. Please!!!!
