|x + 3| < 5
–8 < x < 2
–2 < x < 8
3 < x < 5
–3 < x < 5
Answer:
-8 < x < 2Step-by-step explanation:
[tex]|x+3|<5\iff x+3<5\ \wedge\ x+3>-5\qquad\text{subtract 3 from both sides}\\\\x<2\ \wedge\ x>-8\Rightarrow -8<x<2[/tex]
yesterday jamal scored -20 points on a puzzle today he scored more points use absolute value to describe today's score as a loss
The absolute value of Jamal's score is 20, indicating a loss of 20 points.
Explanation:In math, the absolute value of a number is the positive value of that number, regardless of its sign. Since Jamal's score on the puzzle was -20 points, we can use absolute value to describe today's score as a loss by taking the absolute value of the score. The absolute value of -20 is 20, which means that today's score was a loss of 20 points.
whats 3/4+1/4÷4/5+1/2
Reese spent $4.95 on cookie supplies. He sold 24 cookies at $2 each. His profit is how much more he got from selling the cookies than he spent. What was his profit?
To solve this problem, we should first find out how much Reese made from selling cookies. To do this, we have to multiply the cost of one cookie ($2) by the number of cookies he sold (24). This is modeled below:
24 * $2 = $48
To find Reese's total profit, we must subtract how much he spent on the supplies ($4.95) from his earnings ($48). This is modeled below:
$48 - $4.95 = $43.05
Therefore, Reese's profit is $43.05.
Hope this helps!
need help like last time do the same thing
identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7
The terms in the expression - x - 9x*2 + 12x*2 + 7 are -x, -9x*2, +12x*2, and +7. The like terms in the expression are -9x*2 and +12x*2. The terms -x and +7 are not like terms.
Explanation:In the expression - x - 9x*2 + 12x*2 + 7, the terms are:
-x-9x*2+12x*2+7The like terms are the terms that have the same variable and exponent. In this expression, the like terms are -9x*2 and +12x*2, since they both have the variable x raised to the power 2. So, the like terms are -9x*2 and +12x*2.
The terms -x and +7 do not have the same variable or exponent, so they are not like terms.
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What is the first step in simplifying the expression 11x-2-3(1-7x)^2+(x+1)
Answer with Step-by-step explanation:
We are given a expression:
[tex]11x-2-3(1-7x)^2+(x+1)[/tex]
We have to determine the first step in the solution of the above expression.
First step will be to solve the term [tex](1-7x)^2[/tex]
We will firstly square the term 1-7x
[tex]11x-2-3(1-7x)^2+(x+1)\\\\=11x-2-3(1+49x^2-14x)+(x+1)\\\\=11x-2-3-147x^2+42x+x+1\\\\=-147x^2+54x-4[/tex]
Hence, First step is:
solve the term [tex](1-7x)^2[/tex]
What is the property of 2x32x5=2x5x32=
Solve for x:
x + 4.5 = -17.75
Please help!
I need help to figure out n
I really need help
thx
Please help me now ! Thank you
The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are there?
Solve the quadratic equation y2 - 5y = -4 by factoring.
Solve for x in the diagram shown.
A) 15
B) 16(mixed fraction
1
3
C) 16 (mixed fraction)
2
3
D) 17
The value of x will be 16 2/3.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
LMN is a triangle shown in figure.
Now,
Here, LMN is a triangle shown in figure.
By definition of proportionality, we get;
⇒ x / 15 = (20 + x) / (15 + 18)
Solve for x as;
⇒ x / 15 = (20 + x) / 33
⇒ 33x = 15 (20 + x)
⇒ 33x = 300 + 15x
⇒ 33x - 15x = 300
⇒ 18x = 300
⇒ x = 300/18
⇒ x = 50/6
⇒ x = 16 2/3
Thus, The value of x will be 16 2/3.
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How many solutions can be found for the linear equation? 6( 3x/2 + 4) - 10 = 1/2 (4x + 16)
A) no solutions
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
its b one solution
Step-by-step explanation:
A pitcher contains 1 3/4 quarts of milk. How many fluid ounces of milk does the pitcher contain ?
1 3/4 quarts is equivalent to 56 fluid ounces. This conversion is done by first converting the mixed fraction to an improper fraction, and then multiplying by 32, which is the number of ounces in one quart.
Explanation:The subject of your question is Mathematics, specifically a unit conversion problem. You want to convert 1 3/4 quarts of milk to fluid ounces. We know that there are 32 fluid ounces in one quart. So, to convert quarts to fluid ounces, we multiply the number of quarts by 32:
For 1 3/4 quarts:
1. First, convert the mixed fraction to an improper fraction: (1 * 4) + 3 = 7/4 quarts
2. Multiply by 32(our conversion factor from quarts to fluid ounces): (7/4) * 32 = 56
So, 1 3/4 quarts is equal to 56 fluid ounces.
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Jasmine opened a bank account. She deposited $84.50 into her account every month for 20 months. She used $50.50 every month to pay for dance lessons. After 20 months, she used 1 over 4 of the total money left in her account to go to a music camp. What is the total amount of money Jasmine spent to go to the music camp?
$115.00
$135.00
$155.00
$170.00
Answer:
Option D 170.00.
Step-by-step explanation:
I took the test.
eight cheerleaders set a goal of selling 424 boxes of cards to raise money. after two weeks, each cheerleader has sold 28 boxes. how many boxes more must each cheerleader sell?
simplify the expression (5-5i)-(-6-3i)
How do I solve this? Either teach me how, or help me with a few other simmilar ones.
Answer: Simplifying the expression of the substraction of the two complex numbers we get 11-2i
Solution:
(5-5i)-(-6-3i)
Eliminating the parentheses: 5-5i+6+3i
Grouping similar terms: (5+6)+(-5+3)i
Adding the similar terms: 11+(-2)i = 11-2i
Answer:
The simplify form of given expression is 11-2i.
Step-by-step explanation:
The given expression is
[tex](5-5i)-(-6-3i)[/tex]
Using distributive property, we get
[tex]5-5i-(-6)-(-3i)[/tex]
[tex]5-5i+6+3i[/tex]
Combined real and imaginary parts.
[tex](5+6)+(-5i+3i)[/tex]
[tex]11+(-2i)[/tex]
[tex]11-2i[/tex]
Therefore the simplify form of given expression is 11-2i.
how will i do this it is very confusing.
Find the nth term in the following sequence:
10, 19, 34, 55
Answer:
The nth term of sequence is [tex]3n^{2}+7[/tex]
Step-by-step explanation:
We need to find out the general recurrence relation of sequence:
[tex]10, 19, 34, 55[/tex]
if we see pattern of sequence that every square of each number 'n' is multiple of 3 and addition of 7
check this pattern by [tex]3n^{2}+7[/tex]
For n=1
[tex]3n^{2}+7[/tex]
[tex]3(1)^{2}+7[/tex]
[tex]3+7[/tex]
[tex]10[/tex]
For n=2
[tex]3n^{2}+7[/tex]
[tex]3(2)^{2}+7[/tex]
[tex]3\times 4+7[/tex]
[tex]12+7[/tex]
[tex]19[/tex]
For n=3
[tex]3n^{2}+7[/tex]
[tex]3(3)^{2}+7[/tex]
[tex]3\times 9+7[/tex]
[tex]27+7[/tex]
[tex]34[/tex]
And so on..
Therefore, the nth term of sequence is [tex]3n^{2}+7[/tex]
solve the system by the elimination method? -5x-2y=2 6x-2y=24
Mary buys a dress and a pair of shoes. Before adding the tax she pays $ 48 for the dress which normally sells for $ 62, and she pays $ 34 for the shoes which normally sell for $46.
simplify.
-5 ( x - 3) + 2 ( a - 9)
-5x + 2a + 33
-5x + 2a + 4
-5x + 2a - 33
-5x + 2a - 4
Answer:
Step-by-step explanation:
-5(x+3) + 2(a-3
-5*x =-5x
-5*3= -15
2*a=2a
2*9=18
-15+18=3
so the answer is -5x+2a-3
if cosA=2/5, find the value of 4+4 tan^2A
Answer:
25
Step-by-step explanation:
You purchasing 220 airline ticket you have a discount code to receive 10% off there is a 10.5% service charge and how much do you pay for your ticket
Only 5,6,7,8 please help
How many terms are there in the expression 2x - 5y + 3 + x?
3
4
5
6
Each year a school sends 50 students to a conference. Last year, the cost was $12.50 per student. This year, the cost per student has increased by 16%. How much will it cost to send 50 students to the conference this year
multiply 12.50 by 16% to find the new cost
12.50 * 1.16 = 14.50 per student
14.50 * 50 = $725