Answer:
x< 2 1/2Step-by-step explanation:
[tex]4x - 3 < 7[/tex]
Add 3 to both sides of the equation
[tex]4x - 3 + 3 < 7 + 3 \\ 4x < 7 + 3 \\ 4x < 10[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} < \frac{10}{4} [/tex]
Simplify
[tex]x < \frac{5}{2} [/tex]
The solution to the inequality is x < 5/2.
What is an inequality?In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data, number, and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than or equal to (≤).Less than (<).Greater than or equal to (≥).In this scenario and exercise, we would determine the solution set to the given inequality for x in parts as follows;
4x - 3 < 7
By adding 3 to both sides of the inequality, we have:
4x - 3 + 3 < 7 + 3
4x < 10
x < 10/4
x < 5/2.
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Can 7,11, and 3 make a triangle?
Answer:
No
Step-by-step explanation:
to form a triangle:a=7 , b=11, c=3
a+b>c a+c>b b+c>a
7+11>3 7+3<11 3+11>7
one condition is not applied, so no
Solve for x.
[tex]4x+6=10-4[/tex]
Steps to solve:
4x + 6 = 10 - 4
~Simplify
4x + 6 = 6
~Subtract 6 to both sides
4x = 0
~Divide 4 to both sides
x = 0
Best of Luck!
Answer:
[tex]\large\boxed{x = 0}[/tex]
Step-by-step explanation:
4x + 6 = 10 - 4
Subtract 10 - 4
4x + 6 = 6
Subtract 6 from both sides of the equation
4x = 0
Divide both sides of the equation by 4
[tex]\large\boxed{x = 0}[/tex]
Hope this helps :)
A product at the grocery store is priced $12.84 for 6 ounces. What is the cost per ounce?
Answer:
Step-by-step explanation:
$12.84/6 = $2.14 per ounce
Two integers have a sum of -11 and a difference of 5. What are the two
integers?
(23 points!!)
Answer:
x = -3
y = -6
Step-by-step explanation:
x+y = -11
x-y = 5
x+y+x-y= -6
2x= -6
x = -3
y = -6
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios? StartFraction 3 Over 7 EndFraction greater-than StartFraction 2 Over 1 EndFraction StartFraction 2 Over 7 EndFraction less-than StartFraction 3 Over 1 EndFraction StartFraction 7 Over 1 EndFraction less-than two-thirds
Answer:
milk to oil - correctly shows ratio 3:1
Answer:
B 2/7 <3/1
Step-by-step explanation:
Which parent function is f(x) = |x|?
A. The quadratic parent function
B. The absolute value parent function
C. The linear parent function
D. An exponential parent function
Answer:
B. The absolute value parent function
Step-by-step explanation:
[tex]f(x)=|x|[/tex]
Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:
[tex]|0|=0\\|3|=3\\|-3|=3[/tex]
In essence, a negative value within the bars becomes positive, while a positive value remains positive.
PLEASE HELP QUESTION IS ON THE ATTACHMENT !!
Answer:
C.
Step-by-step explanation:
Write an equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles
The equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles is y = 2x + 5.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The three figures are shown in the picture.
After analysis:
2(3) + 1 = 7
2(4) + 1 = 9
2(5) + 1 = 11
The standard form:
y = 2(x+2) + 1
y = 2x + 4 + 1
y = 2x + 5
Thus, the equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles is y = 2x + 5.
Learn more about the linear equation here:
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Which two ratios represent quantities that are proportional?
A 22/33 and 14/21
B 48/60 and 35/42
C 25/28 and 5/7
D 16/13 and 13/16
Please help
The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3
When do two ratios form a proportion?Two ratios form a proportion if the simplified form of both ratios comes out as the same ratio. Suppose that we've got two quantities with measurements as 'a' and 'b' Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
A.) 22/33 and 14/21
Here. the two ratios represent quantities that are proportional to 1/3.
B.) 48/60 and 35/42
Here. the two ratios represent quantities that are not proportional.
C.) 25/28 and 5/7
Here. the two ratios represent quantities that are not proportional.
D.) 16/13 and 13/16
Here. the two ratios represent quantities that are not proportional.
Hence, The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3
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solve for x
3(2-x)=5(2x-7)+2
Answer: X = 3
Step-by-step explanation:
3(2-x)=5(2x-7)+ 2
First, distribute
6-3x = 10x -35 + 2
Now subtract and add
6+35-2= 10x-(-3x)
Which gives
39= 13x
X=3
Hope this helps!
The volume of a box is 400 in.³ if the height is 10 inches and the length is 8 inches what is the width of the box
Answer:
5
Step-by-step explanation:
Step 1:
10 × 8 × x = 400
Step 2:
80 × x = 400
Step 3:
x = 400 ÷ 80
Answer:
x = 5
Hope This Helps :)
what is the correct domain of h
the correct domain oh h is C
which statement best describes the realationship between the numbers divisable by 6, 2 and 3
Thank yousunshinemadison101
Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply. -4 -2 0 3
Answer:
0 and 3
Step-by-step explanation:
all you have to do is plug the numbers for x
so -3 x 0=0
-3 x 3=-9 then minus 4 equals -13
the others are bigger than 2
Answer:
0 and 3
Step-by-step explanation:
please help me with this i don’t understand at all!
Answer:
2x+8=3x-2
8=x-2
x=10'
the answer is 10
Step-by-step explanation:
sorry i didnt put an answer at the start
i was in a rush
Write the polynomial in standard form, then give the leading coefficient.
Answer:
-3y^8+18y^5+10y is the standard form of the equation. The leading coeficients are -3, 18 and 10
Step-by-step explanation:
The highest power awlays goes at the beginning of the equation. In this situation the highest power is 8, followed by 5 and then by 1. Usually the 1 as a power is not written. The leading coeficients are the numbers infront each term. If there is -4xy, the leading coeficient is -4.
The Five Fives Challenge
In this mathematical challenge, you must use only five fives and mathematical operations/ symbols to achieve the number 0-30. Mathematical operations/symbols include addition, subtraction, multiplication, division, grouping symbols, decimal points, exponents, square roots, and factorials.
There are many solutions for each number. Be creative and try and find different solutions.
João emprestou R$ 1000,00 a seu amigo José. Para que José conseguisse o empréstimo com o amigo, foram definidas as seguintes condições de pagamento: prazo de 6 meses e taxa de juros simples de 10% ao trimestre. Sendo assim, passados os seis meses do empréstimo, quanto o amigo José terá de pagar ao amigo João? a) R$ 100,00 b) R$ 1.100,00 c) R$ 200,00 d) R$ 1.200,00 e) R$ 1.400,00
Answer:
La opción correcta es;
d) R $ 1.200,00
Step-by-step explanation:
El monto que Joao prestó a José = R $ 1.000,00
La duración del préstamo = 6 meses
El plazo de interés del préstamo = interés simple del 10% por trimestre
La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;
A = P · (1 + r · t)
A = La cantidad que José tiene que pagarle a Joao después de 6 meses
P = La cantidad que Joao prestó a José = R $ 1.000,00
r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)
t = La duración del préstamo = 6 meses
Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;
A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00
El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00
Turn the Mix Number into a Improper Fraction a) 5 5 4 b) 3 8 3
Answer:
A: 25/4 B: 17/3
:)))))))))))))))))
Identify the hypothesis of the statement. If a number is negative, then the number is less than zero. A) a number is negative B) a number is positive C) the number is less than zero D) the number is greater than zero
Answer: A) a number is negative
Step-by-step explanation:
A conditional statement is written as:
If P, then Q.
Where P is the hypothesis and Q the conclusion.
In this case, we have:
If a number is negative, then the number is less than zero.
then we have:
P = a number is negative.
Q = the number is less than zero.
Then the hypothesis will be "a number is negative"
The correct option is A.
Answer:
number is negative
Step-by-step explanation:
5 x [3 x (-2) - 10] i need the answer step by step please
Answer:
-80
Step-by-step explanation:
5×(-6 - 10)
5×(-16)
-80
solve by using BODMAS rule
Answer: -80
First step is to calculate everything inside the brackets = [3× (-2) -10] = [(-6) - 10] = [(-16)] then we now multiply the number outside the brackets with the number inside the brackets which = 5[-16] = -80.
A vine called the mile-a-minute were is known for growing at a very fast rate it can grow up 2ft per day how fast in inches per hour can the mile-a-minute weed grow up to?
Answer:
1 inch/hr
Step-by-step explanation:
Rate of growing of weed mile-a-minute = 2 ft per day
To find:
Rate of growth of weed in inches per hour ?
Solution:
First of all, let us have a look at the following units conversion:
1 ft contains 12 inches
and 1 day is equal to 24 hours.
Rate of growth of weed is Length divided by number of days.
2 ft per day means Length of 2ft divided by 1 day.
i.e.
[tex]\dfrac{2\ ft}{1\ day}[/tex]
Let us put the units for conversion as discussed above:
[tex]\dfrac{2\times 12\ inches}{24\ hours}\\\Rightarrow \dfrac{24\ inch}{24\ hours}\\\Rightarrow \bold{1\ inches/hr}[/tex]
So, the answer is: 1 inch/hour
What is the answer? 1/2 + 1/7 =?
Answer:
9/14
Step-by-step explanation:
Just Multiply the numerator and denominator of both fraction with the opposite denominator for the denominators to become the same. Since they have aa common denominator, you can just add the numerators to get 9/14.
What percent is represented by the diagram below?
A 13%
B
65%
C 130%
D
650%
Answer:
Step-by-step explits its C.130%anation:
The Robinson family is having new carpet installed in the dining room the carpet cost $299 for insulation and $15 for each square yard how many square yards of carpet can be installed at the total cost is $674
Subtract the fee from the total:
674 - 299 = 375
Now divide by the cost per square yard:
375 / 15 = 25
The answer is 25 square yards.
Answer:
45 square yards
Step-by-step explanation:
divide 674 by 15
YR 8 MATHS PLS HELP!!!!!!
Answer:
6.54
Step-by-step explanation:
you have to add up all of the numbers then divide by how many numbers there are to get the mean
Answer:
6.54
Step-by-step explanation:
Add up all thee numbers:
11+11+5+6+6+11+04+8+2+5+7+9=85
Divide by how many numbers there are:
85/13=6.538
6.54
Estimate the annual wages for Hourly rate $7.15
Lets assume someone works 10 hours a day for 5 days a week.
Weekly total:
10 * 7.15 = $71.50 per day
71.5 * 5 = $357.50 per week
There are 52 weeks in a year so we can multiply.
357.50 * 52 = $18,590 per year
This is how you can solve this problem if you are given these details.
Best of Luck!
use the real number line shown below to complete each statement.
The letter best represents −0.1525.
The letter best represents 9
5
.
The letter best represents −1
5
.
Answer:
the letter best represents -15.
b - -0.1525
f - 9/5
a - -1/5
17-||-9|+3|
Can anyone help me out?
Answer:
Step-by-step explanation:
Step 1:
17 - 9 + 3
Step 2:
8 + 3
Answer:
11
Absolute Value turns everything positive.
Hope This Helps :)
A ____________________number can be expresses as a/b where a and b are integers and b does not equal 0.
Answer:
Rational Number
Step-by-step explanation:
A rational number : A number that can be in the form of
q /p , where p and q are integers and q is not equal to zero.
Answer:
A rational number : A number that can be in the form of p/q, where p and q are integers and q is not equal to zero
Step-by-step explanation:
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