Answer:
160
Step-by-step explanation:
Which two numbers multiply to 20 and add to 9
Answer: 5x4=20
And 5+4=9
Step-by-step explanation:
The required two numbers are 4 and 5.
What is equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We need to find two number such that if multiply then we get 20 and add to get 9.
Let 'a' and 'b' be two numbers.
According to given conditions,
a × b = 20 .........................(i)
a + b =9 .......................(ii)
So, from given conditions we have two equations (i) and (ii).
From equation (ii) we have,
a = 9 - b ...............(iii)
Substitute above value of 'a' in equation (i),
⇒ (9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
Now we solve this quadratic equation to find b.
⇒ b² - 9b + 20 = 0
⇒ b² - 5b - 4b + 20 = 0
⇒ (b - 5) (b - 4) = 0
⇒ b = 5 or b = 4
Find the value of 'a' from equation (iii)
When b = 5
⇒ a = 9 - 5
⇒ a = 4
When b = 4
⇒ a = 9 - 4
⇒ a = 5
Therefore, the required two numbers are 4 and 5.
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A production process produces an item. On average, 16% of all items produced are defective. Each item is inspected before being shipped, and the inspector misclassifies an item 13% of the time. Please round the final answers to 3 decimal places.
What proportion of the items will be "classified as good"?
P (classified as good)=
Answer:
10
Step-by-step explanation:
If a rectangle piece of dimensions 3 cm x 2 cm is cut from one corner of a rectangular sheet of dimensions 10 cm x 6 cm and attached to it's side projecting out of the rectangle, what will be the change in perimeter of the new shape thus formed?
Answer:
[tex]6\ \text{cm}[/tex]
Step-by-step explanation:
The sides of the larger rectangle are 10 cm and 6 cm.
The sides of the part cut out are 3 cm and 2 cm.
The part cut out is attached to one of the sides of the rectangle.
Perimeter of the new shape will be
[tex]6+7+2+3+2+3+2+13=38\ \text{cm}[/tex]
Perimeter of old shape
[tex]2(10+6)=32\ \text{cm}[/tex]
Change in the perimeter is [tex]38-32=6\ \text{cm}[/tex]
The perimeter of changed by [tex]6\ \text{cm}[/tex].
Ursula picks carrots and radishes from her garden. She picks
4 pounds of carrots and 1 pounds of radishes. How many
more pounds of carrots does she pick than radishes?
What is the value of 76 + (4 — 3) x 60?
Using trigonometric identities, the answer should be: 77
Answer: 4,620
Step-by-step explanation:
1. 76 + (1) x 60
2. 77 x 60
3. 4,620
what is the graph for y=2x+1
A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Answer:
$60
Step-by-step explanation:
i-ready
What are the possible names of the angle shown here? Select all that apply.
Angle2
AngleRTS
AngleTSR
AngleR
AngleRST
Answer:
a c e
Step-by-step explanation:
Answer:
a c e is correct
Step-by-step explanation:
look at pic and answer plz
Answer:
D.
Step-by-step explanation:
the total amount is $1200 per month
225+375= 600
1200/600= 1/2= 0.50=50%
Help! “Ms.Day drew a rectangle on the board with a width of 14 cm and a digo al length of 50 cm. Find the length of this rectangle in centimeters.”
Answer:
length=48cm
Step-by-step explanation:
a²+14²=50²
a²+196=2500
a²=2304
a=48
Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works. Calculate Angela’s weekly gross pay
Answer:
We know that per week, she works 18 hours.
For each of these hours, she earns $13.
Then in one week, she earns a total of:
18*$13 = $234
This is her gross pay (the pay before the taxes apply)
Now we know that her employer takes:
15% for federal income tax withholding.
6.2% for Social Security
1.45% for Medicare.
If we add all of these, we get:
15% + 6.2% + 1.45% = 22.65%
This means that 22.65% of $234, is taken by her employer to pay taxes and such.
Then the amount left is:
M = $234 - ( 22.65%/100%)*$234 = $234 - 0.2265*$234 = $180.999
And we can round the last digit to $181 (because we can not have a 0.009 of a cent)
This means that her weekly net pay is $181
And she works for 12 weeks, this means that in total, she will earn:
12*$181 = $2,172
If abx-5=0 what is x in terms of a and b?
My answers: A. x=5/ab B. x=-5/ab C. x=5-ab D. x=ab-5
Please help... Thanks :)
Answer:
A. x=5/ab
Step-by-step explanation:
abx - 5 = 0
x = 5 ÷ ab
Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answer:
< is greater sign and = is equal to sign
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.
Answer:
a is the right answer Congress passed the fair labor standards act to protect young workers
8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.
y = (x - 1)
О
5
y-1= = (x - 1)
y==(x-5)
y-5= -(x - 1)
Answer:
y=5x-7
Step-by-step explanation:
Did this earlier today
Simplify. Write in Standard Form. 10a(-6a²+2a-7)
Answer:
10a (-6a²+2a-7)open the brackets-60a³+20a²-70adivide all the term by 10-6a³ +2a²-7a(simplified answer)PLEASE HELP MY HOMEWORK IS DUE 10 MIN!!!!!!!!!!!!!!!!! Now think about changing the triangle. What happens to angle Z if the unknown side length increases while keeping the known side lengths (XZ and ZY) the same? Will the triangle still fit the given conditions?
Answer:
Angle Z wil change because the side length is getting longer and tbe triangle would no longer fit the conditions
There are 100 socks in a bag. 75 out of those are blue. What is the probability of picking a blue sock randomly out of the bag.
Answer:
3/4
Step-by-step explanation:
75/100=15/20=3/4
please mark as brainliest!!!<3<3
PLEASE HELP ILL GIVE YOU BRAINLIEST
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
Write a rule for the translation of AABC to AA'B'C'
Answer:
(x-1,y-2)
Step-by-step explanation:
plz answer my question
Answer:
a its not straight and its negative
Answer:
I'm pretty sure it is nonlinear with negative trend.
Step-by-step explanation:
I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.
Happy to Help :)
Mario received y text messages each minute for 10
minutes yesterday and received t test messages
each minute for 20 minutes today. What is the
total number of text messages he received for two
days in terms of y and t?
a. 30yt
b. 200yt
C. 20y+100
d. 10y+20t
The total number of text messages he received for two days is 10y+20t
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Mario received y text messages each minute for 10 minutes yesterday and received t text messages each minute for 20 minutes today.
Number of text messages for yesterday = 10y
Number of text messages for today = 20t
Total = 10y+20t
Hence, The total number of text messages he received for two days is 10y+20t
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If x = ‐3, evaluate x + 7
Answer:
4
Step-by-step explanation:
Substitute -3 for x.
-3 + 7 = 4
A rectangular book measures 3 x 5. What is the length of its
diagonal?
There are 17 adult dogs and 8 puppies at the dog park. Which statement is
correct?**
a. The ratio of adult dogs to puppies at the park is 8:17.
b. The ratio of adult dogs to all dogs at the park is 17:8.
c. The ratio of puppies to adult dogs at the park is 25:8.
d. The ratio of puppies to all dogs at the park is 8:25.
Answer:
B?!
I'm so sorry if I am wrong !
Step-by-step explanation:
Have A Wonderful Day !!
If y = -5, what is the value of
2y+2
-
4
Answer:
-12
Step-by-step explanation:
Ok so I'm guessing that's a -4 but if its not, please correct me.
y= -5 is going to be plugged into 2y+2-4
This means that 2(-5)+2-4=?
2(-5) is the equivalent to 2 times -5, which is -10 (you solve multiplication first because order of operations)
Now, 2-4=-2
So using this, let's combine both equations!
-10+-2=?
?=-12
It's a lot of steps but they get easier the more you do them <3
11. If 9m - 3 = -318, then 14m = ?
a. -28
b. -504
c. -329
d. -584
e. -490
Answer:
e. -490
Step-by-step explanation:
-318+3= -315
-315/9= -35
So that would mean m= -35
-35*14= -490
Part A :
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*
Part B :
Find the slope of the line from the graph above. *Don't forget to simplify!*