1. 2x < 10, x = -3
x+7 % -5, x = 5
2.
6
state whether the given number makes the inequality true or false
Answer:
both questions is false
the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number
Answer:
The larger number is 4
Step-by-step explanation:
4 is the larger number and two is the smaller number..
Answer:
x=19y=38Step-by-step explanation:
Let x be the smaller number
Let y be the larger number
The larger of 2 numbers is twice the smaller number :
[tex]y = 2x[/tex]
if 12 is subtracted from the larger number the result is 7 more than the smaller number :
[tex]y-12 = 7+x[/tex]
To solve for x ;
Substitute 2x for y in the second equation
[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]
To solve for y
[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]
Let w 1-5 and z=2+ 4i, Find z+w
Step-by-step explanation:
w+z=1-5+2+4¡
w+z=-2+4¡
and if you mean w= 1-5¡ , z= 2+4¡
z+w= 1-5¡+2+4¡
z+w= 3-¡
Can you please show all your work plus the equation
a square + 7 a + 12 =A + 4
Step-by-step explanation:
[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]
Answer:
a = -4 or a = -2
Step-by-step explanation:
a² + 7a + 12 = a + 4
=> a² + 7a - a + 12 - 4 = 0
=> a² + 6a + 8 = 0
=> a² + 2a + 4a + 8 = 0
=> a(a + 2) + 4(a + 2) = 0
=> (a + 4)(a + 2) = 0
=> a = -4 or a = -2
Find the equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 7; containing the point (7,-1). What is the equation of the line?
y =
Answer:
y = 7x - 50
Step-by-step explanation:
the standard form for a line equation is
y = ax + b
a is the slope.
b is the intercept with the y-axis (x=0).
we know, a = 7
so,
y = 7x + b
to get b we use the point (x = 7, y = -1)
-1 = 7×7 + b = 49 + b
b = -50
=>
y = 7x - 50
Help plz
Find (f - g) (x)
f(x) = 2x^2 – 2 and g(x) = 4x + 1
6x2
Answer:
(f - g) (x) = 2x^2 - 4x - 3
Step-by-step explanation:
(f - g) (x) = f(x) - g(x)
(f - g) (x) = 2x^2 - 2 - (4x + 1)
(f - g) (x) = 2x^2 - 2 - 4x - 1
(f - g) (x) = 2x^2 - 4x - 3
Translate to an algebraic expression.
29 more than n
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
Step-by-step explanation:
Rearrange the givens
3/5 - 2/5 - 6/7 + 3/14
1/5 - 12/14 + 3/14
1/5 - 9/14
The lowest common multiple is 70
14/70 - 45/70 = - 31/70
help me senpai...ahhhhh...plz.... someone
Answer:
The answer is 3/3 or 1
Step-by-step explanation:
I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1
When [tex]1^{-1}[/tex] = 1
[tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]
= [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Hope that help :D
A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls
Answer:
6/11
Step-by-step explanation:
The ratio says that, for every 6 girls, there are 5 boys.
For every 6 girls, there are 6 + 5 = 11 students.
So the fraction of girls is
6/11
A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.
Answer:
Total number of sweets in the bag is 28
Step-by-step explanation:
let the total number of sweets in the bag be x :
[tex]{ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x[/tex]
therefore fraction of mints = 1 - fraction of toffees :
[tex] = \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4} [/tex]
therefore:
[tex] = > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28[/tex]
total sweets number is 28
How do you put these numbers in order: 2.25, 2.6, 3, and 2.5?
ANY APPROPRIATE ANSWER HELPS! :)
Answer:
From Least to Greatest: 2.25, 2.5, 2.6, 3
From Greatest to Least: 3, 2.6, 2.5, 2.25
Step-by-step explanation:
Hi! Please see the photo, I could really use some help!
Please someone help I’m stuck with this question please help show work too
Answer:
I think it is C but it could also be A
Step-by-step explanation:
So here is my explanation. The perfect answer would be {all real numbers p<=345} however because that isn't stated let me explain the answers. A states that there could be 0-345 students however it also states that there could be a fraction of a student (its some wierd thing my Algebra teacher taught me). B states that f(p) is between that but that doesn't make sense. C states all positive intergers less than 345 which means a positive whole number. That means that it is all whole students less than 345 which makes sense however I am iffy cause I think it means there cannot be 345. D states all greater than 0 which exceeds the 345 limit.
Find the reciprocal of 1 1/6
Answer:
So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.
Step-by-step explanation:
Make the number 16 using six "1"s. Example: Make the number 18 using six "1"s. A: (11-1-1)(1+1)= 18
Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)
The simplified expression is -1.42x + 2.8.
How to Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)Sure, let's simplify the expression step by step:
1. Distribute the coefficients to the terms inside the parentheses:
0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x
2. Simplify each term:
0.98x + 1.2 + 1.6 - 2.4x
3. Combine like terms:
(0.98x - 2.4x) + (1.2 + 1.6)
-1.42x + 2.8
So, the simplified expression is -1.42x + 2.8.
Learn more about expression at https://brainly.com/question/723406
#SPJ3
Do Not Pay Any Less, Mrs. Mess Puzzle
Mrs Mess was buying a set of garden furniture.
The bill was seventy dollars.
She gave the attendant what she thought were
two $50 bills, (actually two $100 bills).
The attendant was sleepy and didn't notice either,
so he gave Mrs. Mess what he thought were
three $10 bills (actually three $50 bills).
Who ended up better off than they should?
Answer:
Step-by-step explanation:
She owes 70
She pays 200
She gets 150
So the story is 200 220
She pays 200 and gets 220 including the furniture.
She 20 dollars to the good.
The GCF of two numbers is 3.
Their LCM of the two numbers is less than 20.
Which could not be the two numbers?
Answer:
Step-by-step explanation:
Let say a and b the 2 natural integers with 0 < a< b.
Since a*b=GCF(a,b)*LCM(a,b)
a*b < 3*20=60
[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]
how many acts are in the play romea and juliet. is this a statistcal quetion
(-57) x (-19) + 57
Can you explain this answer as Distributive Property? ☺️
Answer:
[tex]1140[/tex]
Step-by-step explanation:
[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]
Hope it is helpful....Answer:
1140
Step-by-step explanation:
1. you first need to distribute -57 to -19 as they are being multiplied
(-57) · (-19) + 57
(1083) + 57
2. now you remove the parenthesis and add the liked terms
1083 + 57 = 1140
hope this helps! if you have any questions, let me know!
At the red box, you can rent DVDs for $1.75 each per day, or you can get unlimited rentals for a monthly fee of $30. At most, how many DVDs could you rent at $1.75 before spending more than the cost of a month's unlimited rentals?
PLEASE HELP!!!!!
Need hELP ASAP
Answer:
bro please help me make me brianliest I think c
i need help ;^; please im no big brain
Answer:
[tex]18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}[/tex]
Step-by-step explanation:
27= 3 * 3 * 3
75 = 3 * 5*5
18 sqr 3 + 55 sqr 3 = 73 sqr 3
Christian emptied 56 and 24 candies into 4 equal groups. How many candies were in each group
Answer: 20
Step-by-step explanation: 20x4=80. 56+24=80
Solve the equation x2 = 5.
o
x = 5
o
x = 25
o x= V5
o x= V5
Answer:
x^2 = 5
x = ±√5
Answer:
x = ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² = 5 ( take the square root of both sides )
x = ± [tex]\sqrt{5}[/tex] , that is
x = [tex]\sqrt{5}[/tex] or x = - [tex]\sqrt{5}[/tex]
Can someone help me it is algebra 2
Write the interval {x|—3 < x < 5}
as an inequality and using interval
notation.
I can't understand this question write it properly please ok plz
1-16 Please helppppp
27(1-x)(x^2+x+1)+81x(x-1)
Step-by-step explanation:
hope this may help you. have a nice day.