Isolate the x. Treat the less than sign as equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 47 from both sides
4x + 47 (-47) < 7 (-47)
4x < -40
Next, divide 4 from both sides
(4x)/4 < (-40)/4
x < -40/4
x < -10
x < -10 is your answer
hope this helps
Suppose a whale shark measures 10.7 meters. Convert this measurement to feet. Round your answer to the nearest whole foot.
A. 30 feet
B. 6 feet
C. 35 feet
D. 32 feet
Alright, so the scale of meters to feet is about 3.281 feet. So you would do 10.7 times 3.281 and that equals 35.1067 and that can be rounded to 35, so the answer would be C, 35 feet. Hope that Helped :)!
can someone help me?? and show the steps on how u got the answer
-1-10a<-1 or 10+3a≤ -5
-10a<0 or 3a≤-15
a>0 or a≤-5
-1 - 10a < -1 or 10 + 3a ≤ -5
+1 +1 -10 -10
-10a < 0 or 3a ≤ -15
[tex]\frac{-10a}{-10} > \frac{0}{-10}[/tex] or [tex]\frac{3a}{3} \leq \frac{-15}{3}[/tex]
a > 0 or a ≤ -5
notice the left inequality symbol flipped because we divided by a negative
-5 ≥ a > 0
Graph: -5 -------------o 0 (dot is filled at -5 and not filled at 0)
8,473,227 to rhe nearest 100,000
Remember this: 4 or below let it go (round down) 5 or above give it a shove (round up)
remember your only rounding 100,000 place so leave the digit behind that
answer: 8,000,000 since it is 4 or below.
8,500,00 is the answer to the nearest 100,000 because 473 is the hundreds place and since 7 is above 5 you round up
The Formula For The Area Of a Triangle Is A = 1/2bh.
a.Solve the formula for h.
find at least 3 numbers that are palindromes and have square roots that are palindromes
Hey there!
Palindromes are numbers that can be written the same way backwards, such as 101 and 12321. You're looking for some numbers which are palindromes, and so are their square numbers.
Alright, I'll give you four of those:
121 is a palindrome, and its square root is 11, both palindromes. 11 x 11 = 121484 is a palindrome, and its square root is 22, both palindromes. 22 x 22 = 48410201 is a palindrome, and its square root is 101, both palindromes. 101 x 101 = 1020112321 is a palindrome, and its square root is 111, both palinromes. 111 x 111 = 12321Hope this helps!
Answer:
1, 4, and 9
Step-by-step explanation:
Since one-digit are palindromes, just take 1, 4, and 9 because they're perfect. In math, you have to be efficient. Don't think too long about higher numbers. Think about the easier cases first.
Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have exactly 8 correct answers of false? a. 425 c. 500 b. 495 d. 515
Answer: 495
==============================================================
We want exactly 8 correct answers of false, so we want exactly 4 correct answers of true. In short, we want something like FFFF FFFF TTTT. Because the sequence of T values is shorter than the F values, this means it's a lot easier to count out the number of ways to pick the true responses, rather than the false responses.
Consider we have 4 slots: A, B, C, D
In slot A, we can pick the number 1 through 12 to represent getting a T
For slot B, we have 11 choices because we can't reuse whatever we picked for slot A
Then for slot C we have 10 choices
Finally, slot D has 9 choices
Multiply those values out: 12*11*10*9 = 11,880
If order mattered, then we'd be done with the problem. However, order does not matter. This is because a sequence like {1, 2, 3, 4} is the same as {1,2,4,3}. The only thing that matters is that we have the numbers in the same group. We can rearrange any given group however we want.
Note that there are 4! = 4*3*2*1 = 24 ways to arrange any individual group of four items. So we have to divide the previous result 11,880 by 24 and we get: 11880/24 = 495 which is the answer
If you wanted, you can use the nCr combination formula to get this same answer. You would use n = 12 and r = 4
Solve for N.
-7 + N = 20
N = 13
N = -13
N = 27
N = -27
To solve the question -7 + N = 20, we add 7 to both sides to get N = 27. Among the provided options, the correct answer is N = 27.
Explanation:To solve for N in the equation -7 + N = 20, you should add 7 to both sides of the equation to isolate the variable N on one side. This gives you the equation N = 20 + 7.
The solution is N = 27 as 20 + 7 results in 27. Therefore, the correct answer among the options provided is N = 27.
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Following the Baltimore Running in 2009, volunteers collected and recycled 3.75 tons of trash. Graph 3.75 on a number line and write the weight as a mixed number
3 3/4 is the answer i think
Answer:
Step-by-step explanation:
3 3/4 is the answer
Apple cost $0.89 pound how much will 25 pounds cost
Solve 8x − 2(x + 1) = 7x + 8. (5 points)
6
−6
−10
10
8x − 2(x + 1) = 7x + 8
8x-2x -2=7x+8
6x-2=7x+8
6x-7x-2=8
-x=8+2
-x= 10
X=10/-1
X= -10
seven increased by the product of two numbers
Seven increased by the product of two numbers
Whats the two numbers?
What is the value of g?
25(g−7)=3
Enter your answer in the box.
g =
[tex]25(g-7)=3\\\\25g-175=3\\\\25g=178\\\\g=\dfrac{178}{25}[/tex]
What is the y-intercept of this line? (Enter the number only.)
b=
I need help!!! Please help ASAP!
180 ≥ 45 + 15x
-45 -45
135 ≥ 15x
9 ≥ x
x ≤ 9
Answer: D
66 < 2x + 28
-28 -28
38 < 2x
19 < x
x > 19
Answer: C the answer could also be B
11 < 5 + 2x
-5 -5
6 < 2x
3 < x
x > 3
Answer: E the answer could also be A, B, and C
-30 ≥ 6 - 4x
-6 -6
-36 ≥ -4x
9 ≤ x
x ≥ 9
Answer: A
[tex]\frac{x}{12}[/tex] - 4 ≥ 5
+ 4 + 4
[tex]\frac{x}{12}[/tex] ≥ 9
12[tex](\frac{x}{12})[/tex] ≥ 12(9)
x ≥ 108
Answer: B
At midnight, the outside temperature was -12.3 degrees. By 6:00 AM the outside tempature had dropped 6.8 degrees.
What was the outside temperature at 6:00 AM?
-19.1 degrees
-5.5 degrees
5.5 degrees
18.1 degrees
What is the measure of each exterior angle for a regular nonagon
The sum of the exterior angles of any polygon is 360 degrees. Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles. In the case of a regular nonagon, the measure of one exterior angle is 40 degrees: 360 / 9 = 40 degrees. its my best guess
In a regular nonagon, each exterior angle measures 40 degrees.
A regular nonagon is a polygon that has nine sides of equal length and nine interior angles of equal measure.
To determine the measure of each exterior angle for a regular nonagon, you can follow these steps. Recall that a nonagon is a polygon with nine sides. The sum of the exterior angles of any polygon is always 360 degrees.
Divide the sum of the exterior angles (360 degrees) by the number of sides in the nonagon (9) to find the measure of each exterior angle.
Calculate: 360 degrees ÷ 9 = 40 degrees.
Therefore, each exterior angle in a regular nonagon measures 40 degrees. This means that if you were to extend one side of a regular nonagon outward, the angle formed between that extended side and the adjacent side would measure 40 degrees.
Learn more about Nonagon here:
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Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen weeds yards and Fabio walks dogs to raise money. Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog. The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed. Fabio will walk at least 25 dogs. Write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked.
Answer:
[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]
Step-by-step explanation:
If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:
The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.
[tex]12x + 9y \geq = 510[/tex]
The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.
[tex]y\leq 2x[/tex]
Fabio will walk at least 25 dogs
[tex]y \geq 25[/tex]
Finally, the restrictions are:
[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]
A trampoline has a rectangular jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface?
Sure, to find the area of a rectangle, we simply multiply its length by its width. Here, the length of the trampoline's jumping surface is given as 10.3 feet, and the width is given as 9.2 feet.
Step 1: Write down the length and width.
Length = 10.3 feet
Width = 9.2 feet
Step 2: Multiply the length by the width.
Area = Length × Width = 10.3 feet × 9.2 feet
Perform this multiplication to get the area.
Result: The area of the jumping surface of the trampoline is 94.76 square feet.
This means that the total surface area upon which someone can jump on the trampoline is 94.76 square feet.
20 POINTS!!! BRAINLIEST ANSWER INCLUDED!!!! Solve the problem using the six-step method. A pharmacist found at the end of the day she had 4/3 as many prescriptions for antibiotics as tranquilizers she had 35 prescriptions altogether how many did you have for the tranquilizers.
Add the ratio:
4 +3 = 7
Divide total by that:
35 / 7 = 5
Multiply each ratio by 5:
4 x 5 = 20
3 x 5 = 15
They had 20 antibiotic prescriptions and 15 tranquilizer prescriptions.
Solve the formula for the indicate variable A=zv+x, for v
What is the value of a? a–2=3+6a/3
wait bro u in k12 i am
Which expression represents the polynomial −7x+x3−6+x2 rewritten in standard form? x3−5x+6
x2−7x−6
x3−2x2−7x−6
x3+x2−7x−6
x3−7x+6
the answer is x3 + x2 - 7x - 6
step by step explanation
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Checking for a perfect cube :
1.1 x3+x2-7x-6 is not a perfect cube
Trying to factor by pulling out :
1.2 Factoring: x3+x2-7x-6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x-6
Group 2: x3+x2
Pull out from each group separately :
Group 1: (7x+6) • (-1)
Group 2: (x+1) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
1.3 Find roots (zeroes) of : F(x) = x3+x2-7x-6
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-2 1 -2.00 4.00
-3 1 -3.00 -3.00
-6 1 -6.00 -144.00
1 1 1.00 -11.00
2 1 2.00 -8.00
3 1 3.00 9.00
6 1 6.00 204.00
Polynomial Roots Calculator found no rational roots
Final result :
x3 + x2 - 7x - 6
brainliest plzz
The expression −7x + x³ −6 + x² written in standard form is x³ + x² −7x −6.
Standard form for polynomials is written from the highest degree to the lowest degree of the variables. So, the given expression −7x + x³ −6 + x² should be rearranged as follows:
Identify the term with the highest exponent, which is x³.
Then order the remaining terms by decreasing powers of x: x² comes next, followed by −7x.
Finally, position the constant term at the end, which is −6.
Putting it all together, the polynomial in standard form is x³ + x² −7x −6.
Which layer of the sun is hottest? A. Chromosphere B. corona C. core D. photosphere
C) Core...
Hope this helps.....
Answer:
C
Step-by-step explanation:
the total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total cost of this new automobile is sales tax?
How do I solve this problem
We can write the first part of this problem as: What is 6.5% of $29,990.
"Percent" or "%" means "per 100" or "out of 100". Therefore
6.5 hope this helps (:
%
can be written as
6.5
100
.
When dealing with percentages the word "of" means the product of or to multiply.
Let's call the sales tax amount we are looking for
s
.
We can now write the problem as:
s
=
6.5
100
×
$
29990
s
=
$
194935
100
s
=
$
1949.35
The sales tax on the car is: $1,949.35.
The total price of the car is then:
$
29
,
990.00
+
$
1
,
949.35
=
f(x) = 3x2 - 2x g(x) = x + 4 When finding f(x) · g(x), what could the first step look like? A) 3x2 + 12x2 - 2x2 - 8x B) 3x2 + 7x2 - 2x2 + 2x C) 3x3 + 12x2 - 2x2 - 2x D) 3x3 + 12x2 - 2x2 - 8x
(3x^2 - 2x)(x + 4)
First step would be: distributive property.
3x^3 + 12x^2 - 2x^2 - 8x
Combine like terms.
3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.
Your answer is D.
Final answer:
The first step in finding f(x) · g(x) involves multiplying the two functions together, following the distributive property, resulting in terms like 3x³ and 12x².
Explanation:
When finding f(x) · g(x), the first step would involve multiplying the two functions together. This means multiplying each term of f(x) by each term of g(x) using the distributive property.
For f(x) = 3x² - 2x and g(x) = x + 4, the first step would look like:
f(x) · g(x) = (3x² - 2x) · (x + 4) = 3x² · x + 3x² · 4 - 2x · x - 2x · 4 = 3x³ + 12x² - 2x² - 8x
So, the correct option in this case is A) 3x³ + 12x² - 2x² - 8x.
Adrian earns $3600 per month. he spends 1/4 of his income on rent, 2/5 on food, 1/9 on activities, and he saves the rest. how much does he save each month?
he saves $860 per month
calculate each of his outgoings
rent = [tex]\frac{1}{4}[/tex] × $3600 = [tex]\frac{3600}{4}[/tex] = $900
food = [tex]\frac{2}{5}[/tex] × $3600 = [tex]\frac{2(3600)}{5}[/tex] = $1440
activities = [tex]\frac{1}{9}[/tex] × $3600 = [tex]\frac{3600}{9}[/tex] = $400
savings = $3600 - ( 900 + 1440 + 400 ) = $860
To add the fractions we must make the denominators = 180.
45/180 + 72/180 + 20/180 = 137/180
Expense Total = (137/180) * 3,600 = $2,740
Savings Total = (180 - 137) / 180
Savings = (43/180) * 3,600
Savings = $860
***********DOUBLE CHECK**********************
1/4=.25 2/5 = .40 1/9 = .111111
.25 + .40 + .111111 = .761111
Expenses = .761111 * 3,600 = 2,740.00
Savings = 3,600 - 2,740.00 = 860.00
Solve for y: 3x= y+7
Answer:
Hey there! :) y = 3x - 7
Step-by-step explanation:
Our very first step should be to rewrite our question.
3x = y + 7 ; solve for y.
In order to find out what y is equal to, we must isolate y. We can do this bu subtracting 7 from both sides of the equal sign.
3x - 7 = y + 7 - 7
Simplify.
3x - 7 = y
Therefore, y is equal to 3x - 7.
~Hope I helped!~
Naomi's recipe for baked beans calls for 7 1/5 cups of kidney beans. Each can of kidney beans holds 1 4/5 cups. How many cans of kidney beans will Naomi use to make the recipe
To find out the number of cans Naomi needs for her recipe, you divide the total cups of kidney beans she needs (7 1/5) by the number of cups each can holds (1 4/5), which equates to four. Naomi will therefore need four cans of kidney beans to make her baked beans.
Explanation:In the content loaded Naomi's recipe for baked beans, we know she needs 7 1/5 cups of kidney beans and that each can of kidney beans holds 1 4/5 cups.
To find out how many cans she needs, we'll divide the total cups needed by the amount each can holds. Remember, when dividing fractions, it's helpful to change the division into multiplication by multiplying by the reciprocal of the second fraction.
So, 7 1/5 ÷ 1 4/5 becomes 7 1/5 x 5/9 (as 5/9 is the reciprocal of 1 4/5).
That comes out to 4 when calculation is done. Therefore, Naomi will need 4 cans of kidney beans to make the recipe.
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Help?
One of the fastest recorded speeds of a turtle while swimming is 9 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
32.4 km/h
2.5 km/h
6.48 km/h
150 km/h
Answer:
The correct option is: 32.4 km/h
Step-by-step explanation:
The fastest recorded speed of a turtle while swimming is 9 m/s.
Now, 9 m/s [tex]=\frac{(9)meters}{(1)second}[/tex]
1 kilometer= 1000 meter
So, 1 meter [tex]= \frac{1}{1000}=0.001[/tex] kilometer
and 9 meters [tex]=(9*0.001)kilometer = 0.009[/tex] kilometer
Now, 1 hour = 3600 seconds
So, 1 second [tex]=\frac{1}{3600}hour[/tex]
Thus, we will get.........
[tex]\frac{(9)meters}{(1)second}=(\frac{0.009}{\frac{1}{3600}}) kilometer/hour =(0.009*3600)=32.4 km/h[/tex]
So, the speed of the turtle will be 32.4 km/h.
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1)?
A:y+3=7/6(x+1)
B:y+1=6/5(x+3)
C:y+1=6/7(x+3)
D:y−1=6/7(x−3)
Answer:
C: y + 1 = 6/7(x + 3)
Step-by-step explanation:
(5 + 1)/(4 + 3) = m
6/7 = m
y - 5 = 6/7(x - 4)
y - 5 = 6/7x - 24/7
y = 6/7x + 11/7