Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641
Answer:
the ratio is 16:1
Step-by-step explanation:
surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.
[tex]4^{2} : 1^{2} -->16:1[/tex]
Answer:
A.16:1
Step-by-step explanation:
solve for x
9^x/9^3=9^5
Answer:
9^x =9^5.
9^3
cross multiply
9^x=9^5×9^3
the nine cancel themselves .
x=5+3=8.
Answer:
x=8
Step-by-step explanation:
when dividing, you subtract the indicies (powers) and vice versa
rearrange the equation:
9^x=9^5*9^3
5+3= 8 (add because when multiplying with indicies you need to add the indicies)
check answer:
9^8/9^3=9^5
8-3=5 ✓
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]
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!!! :)
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!
:)
Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram
Answer:
The correct option is B
B) Stem and Leaf plot
Step-by-step explanation:
The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.
In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:
17 | 1 6
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
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
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)
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:
Mira is applying for a mortgage, and the bank wants to know how much she makes per year. She's paid $25 an hour and
works 30 hours a week. She needs to calculate how much she makes per year.
Select the correct answer from the drop-down menu.
Mira's annual income, assuming 52 weeks per year, is $
A- 9,000
B-22,500
C-39,000
Answer:
39,000
Step-by-step explanation:
$25x30=$750
$750x52=$39000
I really need help on these 2 questions. Please!!!!
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%
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]
I need a answer for this
Answer:
I think is A but I could be wrong.....But I don't think so because I did the math lol
Step-by-step explanation:
Please help me, extra points !!
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.
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:
how many different measurements are found in this diagram ¿
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
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 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
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
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).
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 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:
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
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..
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
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
