Answer:
$33.60
Step-by-step explanation:
multiply 40 by 0.20 = 8 subtract 8 from 40= 32 x 0.05 is 1.6 so its 33.6
Translate the sentence into an equation The sum of 6 times a number and 8 equa's 7 Use the variable b for the unknown number 6 - 0
Answer:
6b + 8 = 7
Step-by-step explanation:
The proper translation of the sentence is 6b + 8 = 7.
Solving for b, we get 6b = -1 and b = -1/6
How is "6 - 0" part of this problem?
Find the perimeter of the figure.
Answer:
It's 54
Step-by-step explanation:
Find x and decide if that side (with the x) is an Altitude
Use a Pythagorean Triple to find x.
1.
45
2.
8
24
3.
4.
28
96
Answer:
b = 15c = 51c = 100b = 25.75Step-by-step explanation:
Using the Pythagoras theorem equation:
[tex]c^{2}=a^{2}+b^{2}[/tex]
Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.
1) Here c = 17, a = 8 and b = ?
Then, using the above equation we can find the side b.
[tex]17^{2}=8^{2}+b^{2}[/tex]
[tex]b=\sqrt{225}[/tex]
[tex]b=15[/tex]
2) Here a = 24, b = 45 and c = ?
[tex]c=\sqrt{24^{2}+45^{2}}[/tex]
[tex]c=51[/tex]
3) Here a = 28, b = 96 and c = ?
[tex]c=\sqrt{28^{2}+96^{2}}[/tex]
[tex]c=100[/tex]
4) Here a = 17, b = ? and c = 28
[tex]b=\sqrt{28^{2}-11^{2}}[/tex]
[tex]b=25.75[/tex]
Just in the 4 case x is an altitude.
I hope it helps you!
The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
equation to find the value of x.
The equation is
Enter your answer in the answer box and then click Check Answer
Answer:
i. [tex]x^{2}[/tex] + 26x + 144 - 299 = 0
ii. x = 5
Step-by-step explanation:
The area of the figure = 299 cm²
The figure has a shape of a rectangle, so that;
Area of rectangle = length x width
length of the figure = 18 + x
width of the figure = 8 + x
Area of the figure = (18 + x) x (8 + x)
299 = (18 + x) x (8 + x)
299 = [tex]x^{2}[/tex] + 26x + 144
[tex]x^{2}[/tex] + 26x + 144 - 299 = 0
[tex]x^{2}[/tex] + 26x - 155 = 0
applying the trigonometric formula;
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
= (-26 ± [tex]\sqrt{(26)^{2} - 4(1*-155)}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{676 +620}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{1296}[/tex]) ÷ 2
= (-26 ± 36) ÷ 2
x = (-26 + 36) ÷ 2 OR x = (-26 -36) ÷ 2
= 10 ÷ 2 OR -62 ÷ 2
= 5 OR -31
Thus, x = 5
I have no idea.........
Answer:
me either dude
Step-by-step explanation:
Factor the GCF from 96x2 + 88x.
Answer:
Step-by-step explanation:
1) Determine the GCF of the numbers 96 and 88
=> Decompose each number in their prime numbers:
=> 96 = (2^5)(3)
=> 88 = (2^3) (11)
=> GCF of 96 and 88 = 2^3 = 8
2) Determine the GCF of the letters, x^2 and x
=> x
3) Conclude the GCF of the terms is 8x
4) Now you can factor the expression by dividing each term by the GCF, 8x:
96 x^2 / (8x) = 12x
88x / (8x) = 11
The factored form is (8x) (12x + 11)
Answer:
Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements.
The GCF of 96x2 and 88x ✔ 8x
Each term is written as a product, where one factor is the GCF, is ✔ 8x(12x) + 8x(11)
The factored form of the expression is ✔ 8x(12x + 11)
Gerald has three fewer marbles than Jan together they have 21 marbles which equation represents the situation
Answer:
b
Step-by-step explanation:
HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.
Answer:
10.75
Step-by-step explanation:
The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?
Answer:82feet tall
Step-by-step explanation:
Please help.. :(
This is confusing
Answer:
x² + 4x + 9
Step-by-step explanation:
This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)
3x² - 2x² = x²
-x + 5x = 4x
7 + 2 = 9
So all together its x² + 4x + 9.
help please i dont know what to doooo
Determine which consecutive integers have a real zero of the function f(x) = x4 - 3x3 - 2x2 + 3x-5. between them. a. (-6, -5), (3, 4) C. (-6,-5), (-2, -1) b. (-2, -1), (3, 4) d. (1, 2), (-4,-3) d.
Answer:
B. (-2,-1), (3,4)
Step-by-step explanation:
Got it on edge
Find the value of "c". 4c + 18 = 74 *
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
jasons cutting a 2 2/5 meter string into sections that are 3/4. how many sections can he cut
Answer:
3 1/5
Step-by-step explanation:
Okay, this is a standard division problem, so our equation is:
2 2/5 ÷ 3/4
but then we have to covert the mixed number to an improper fraction:
12/5 ÷ 3/4
do the cross thingy:
4/5 x 4/1 = 16/5 = 3 1/5
So Jason can cut 3 1/5 sections or 3 if you round
14. Write the equation of a horizontal line that passes through the point (-2, 2).
y=2
x=-2
x=2
y=-2
Answer:
y=2
Step-by-step explanation:
horizontal lines are y= the y intercept
if you want the line to go through the point (-2,2) it would be y=2 because points are written as (x,y)
the line y=2 would cross through the y access at 2 and also cross through every other point that is (x,2)
Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP
Answer:
1. 5
2. [tex]\sqrt{85}[/tex]
3. [tex]\sqrt{26}[/tex]
Step-by-step explanation:
1. just count the units: 5 units
2. Find the slope = rise/run = -7/6
you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)
use the pythagorean theorem to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]7^{2} + 6^{2} = c^{2}[/tex]
49 + 36 = [tex]c^{2}[/tex]
85 = [tex]c^{2}[/tex]
[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]
[tex]\sqrt{85} = c[/tex]
Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.
3. same process as 2
slope = -1/5
[tex]1^{2} + 5^{2} = c^{2}[/tex]
1 + 25 = [tex]c^{2}[/tex]
26 = [tex]c^{2}[/tex]
[tex]\sqrt{26} = c[/tex]
That is the farthest it can go, so that will be the answer.
7 candes cost £45.29,
how much would 25 candles cost?
Answer:
161.75
Step-by-step explanation:
45.28 divided by 7 = 6.47
6.47 per cande
6.47 times 25 = 161.75
Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
please PLEASE help i’ll give brainliest !!!!!!!!
9514 1404 393
Answer:
72 feet
Step-by-step explanation:
Triangle JKM is similar to triangle PQM, so we have ...
JK/KM = PQ/QM
JK/(60 ft) = (6 ft)/(5 ft)
JK = (60 ft)(6/5)
JK = 72 ft
The height of the cliff is 72 feet.
Exponential functions do not form straight lines.
When factored completely, x3+ 3x2 - 4x-12 equals?
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Dont know the full thing but hope some of this helps!
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
If y = 3x^4 -2x^3-7x+5, find dy/dx.
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
We have,
The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]
Applying the power rule, we differentiate each term as follows:
[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]
d/dx (5) = 0 (since 5 is a constant)
Combining these derivatives, we get:
dy/dx = 12x³ - 6x² - 7
Therefore,
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
Learn more about derivatives here:
https://brainly.com/question/29020856
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The number of blocks has 9 in the ones place. The numberin the hundreds place i is one more that the numberin the tens place. Those two numbers equal 11. How many block are there?
Answer:
There are 659 blocks
Step-by-step explanation:
The number of blocks has 9 in the ones place.
The number in the hundreds place is one more that the number in the tens place.
Let the number in the tens place is x.
Number in the hundreds place = 1+x
These two numbers equal 11.
ATQ,
x+1+x = 11
2x + 1 = 11
2x = 10
x = 5
No in the tens place = 5
No. in the hundreds place = 1+5 = 6
Hebnce, the number is 659.
Which of the following values of x will result in a true statement when
substituted into the given equation?
-3(x - 2) = 9
OA) X= 1
OB x = -1
OO. X = 3
OD. X = -3
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
-3(x-2)=9 Equation/Question
Step 2
-3(x-2)=9 Remove parenthesis
3x+6=9
Step 3
3x+6=9 Add -6
-3x=3
Step 4
−3x=3 Divide
answer
x=-1
Hope this helps
Apply properties of operations to write an equivalent expression t+t+t+t
Answer:
4t
Step-by-step explanation:
3(x+2)=9(6-x)
Answer please and show your work :D
Answer: x=4
Step-by-step explanation: 3x+6= 54-9x
6= 54 -12x
-48=-12x
x=4
Sara’s recipe calls for 6 1/3 cups of cake mix and 1 1/8 cups of water to make 8 servings. How many cups of cake mix and water do you need for 1 serving? (Use scale factor)
Answer: cups of cake mix: 19/24 cups of water: 11/64
Step-by-step explanation:
Because it is not dividing by a fraction all you have to do is multiply its denominator by 8.
Jim went to the playground. He played on the swings for 45 minutes and went on the slide for 55 minutes. It was 4:35 P.M. when Jim left the playground. What time was it when Jim arrived at the playground?
Answer:
2:55 P.M.
Step-by-step explanation:
First, add the amount of time Jim played outside; 45+55=100
100 minutes is equal to 1 hour 40 minutes.
If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.
Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.
To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.
Hope this helped !!!
NEED HELP PLEASE PLEASE
Orange Street has a y-intercept of -4 and a slope of 4/5
Write out this equation as y = mx + b
Answer:
y = 4/5x - 4
Step-by-step explanation:
Slope intercept is [ y = mx + b ] where m = slope and b = y-intercept. We are already given both so we can fill it in.
y = 4/5x - 4
Best of Luck!
Answer:
Orange Street has a (b=)y-intercept of -4 and a (m=)slope of 4/5
Therefore, m=4/5 and b= -4
y = mx+b
y = 4/5x+(-4)
y = 4/5x - 4 is the right answer.