Answer:
11 and -4
Step-by-step explanation:
Let the required two numbers be x and y
If the sum of two numbers is 7, then
x + y = 7 .. 1
If the difference of their squares is 105, then;
x² - y² = 105 ...2
From 1;
x = 7 - y... 3
Substitute 3 into 2;
(7-y)² - y² = 105
Expand
49-14y+y² -y² = 105
49-14y = 105
-14y = 105 - 49
-14y = 56
y = -56/14
y = -4
Substitute y = -4 into 3
x = 7 - y... 3
x = 7 - (-4)
x = 7+4
x = 11
Hence the numbers are 11 and -4
What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.
Answer:
x = 40
Step-by-step explanation:
(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x
0.2x + 24 = 0.8x
0.2x - 0.2x + 24 = 0.8x - 0.2x
24 = 0.6x
0.6x = 24
0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]
x = 40
Answer:
x=40
Step-by-step explanation:
1/5x+24=8/10x
give like denominators
2/10x+24=8/10x
subtract 2/10x on both sides
24=6/10x
divide 24 by 6/10, or multiply by 10/6
x=240/6
refine/simplify
x=40
-9,7 with a rotation of 180°
Answer:
(9,-7)
Step-by-step explanation:
Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.
Suppose the diameter of a circle is 16 units what is the circumference?
Answer:
Step-by-step explanation:
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
16 = diameter
Circumference = Diameter * pi
Sometimes the teacher may want you to round pi to 3.14...
In that case do 16 * 3.14 = 50.24
write the sentence as an inequality.
a number k is more than -7 and less than -1.
Answer:
-7<k<-1
Step-by-step explanation:
k is greater than negative seven, and
-1 is greater than k
What is area?
The space inside a circle.
The distance across a circle.
The distance around a circle.
Answer:
The space inside a circle
Step-by-step explanation:
Determine what type of solution the following equation has: 2x-7=2x+3
- No solution
- One solution
-Infinitely Many solution
find the area of the figure 4m 7m
Answer:
Step-by-step explanation:
where is the picture?!
Answer:
28m squared
Step-by-step explanation:
7*4 is 28
Can someone help me pls
Is this relationship proportional or non proportional
Order the following numbers from least to greatest: 2.74, 1/9, 4^2, -2^3, 32.5%,-6
Answer:
−
2
3
,
−
6
,
1
9
,
32.5
%
,
2.74
,
4
2
Step-by-step explanation:
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
if g(x)=8(1/2)^x then What is g(3)=
Answer:
g(3)= 4/3
Step-by-step explanation:
plug in the 3 for the x for get 4/3
Answer:
1
Step-by-step explanation:
put x=3,
8×1/2³ = 8/8 =1
Find the value of each trigonometric ratio.
From what i understand from the picture is there is a right angle triangle given with the hypotenes being 37, base being 12 and the perpendicular is 35.
we need to determine the value or Cos x
Easy way to remember which value to out where is
sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
learned this is 8th grade in collage right now still comes in handy
we need cosx so we will use the second formula
[tex]cosx=\frac{b}{h} \\\cosx=\frac{12}{37} \\x= cosx^{-1} (\frac{12}{37})\\[/tex]
which can then be simplified using a calculator
x= 71.1 degree
for this question from what i understand is the answer is cos x = cos (12/37)
ASAP-
Can someone please help me with this?
Answer:
90 I believe
Step-by-step explanation:
Answer: A or B
Step-by-step explanation: A or B
Your friend has x blueberries. You have 19 blueberries. You and your friend have a total of 48 blueberries. Which equation can you use to find x?
Answer:
48-19=x
Step-by-step explanation:
if you subtract those you get 29
15. The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three U.S. women in this age group. What is the probability that at least one of the women has a Chlamydia infection
Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Can someone please help me please
Answer:
5
Step-by-step explanation:
What is the length of BE?
14 units
17 units
27 units
34 units
Answer:
you have to give is more than that
Step-by-step explanation:
mb 27
Answer:
the length of BE is 27 units
Step-by-step explanation:
I WILL MARK BRAINLIEST IF CORRECT! Look at the image below.
Answer:
C 1/10 × 33
D 0.1 × 33
Hope that helps
what is 5+5-5+5+5-5+5-5+100
Answer:
110
Step-by-step explanation:
5-5 cancel out
By the way, can you follow me on Brainly?
Thanks!
Answer:
uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator
Please help me with number 3
Answer:
441 square feet
Step-by-step explanation:
31/50-13/25 im simplest form
Answer:
0.62 is simple already as a fraction!!
0.52 also simple as fraction
Step-by-step explanation:
A bag contains 6 red and 10 black marbles. If you pick a marble, record its color, and return it to the bag 200 times, how many times can you expect to pick a black marble?
Answer:
12.5
Step-by-step explanation:
6+10= 16 200/16=12.5
Help me .......is urgent ,,,,,The point-slope equation for a given line may look different than the slope-
intercept form, but they will simplify algebraically to the same equation.
A. True
B. False
Awnser- True
because the point slope is intercepted
Keira is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
-Starting balance of $49.15.
-Spent $16.23 at Wal Mart.
-Deposit from birthday check of $35.00. -Dinner at Chick-fil-A for $8.34.
-Withdrawal cash at the ATM of $20.
If reconciled, her bank statement should have a balance of
$9.58
$39.58
$79.58
$72.04
Answer:
39.58
Step-by-step explanation:
49.15-16.23=32.92
32.92+35=67.92
67.92-8.34=59.58
59.58-20=39.58
Her balance is $39.58
Hope this helps
Answer:
49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58
Solve for n.
n+ 1 = 4(n-8)
O n = 1
On = 8
On = 11
O n = 16
Save and Exit
Next
Sub
Mark this and return
4x^2+19x+19=0 to the nearest tenth
Answer:
the answer is
Step-by-step explanation:
I just need the q1 med and q3
Answer:
Q1 = 6
Med = 12
Q2 = 15
Step-by-step explanation:
A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually
[tex]a^{2} +b^{2} =c^{2}[/tex]
since we know a and b are the same length (sides of a square are congruent) we would have
[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]
We know that c is 14 so
[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]