Answer:
x = 32
Step-by-step explanation:
24 x 4 = 3x
24 x 4 = 96
96 / 3 = 32
x = 32
Answer:
x = 32
Step-by-step explanation:
You want to find x.
First, simplify and combine like terms. Using PEMDAS, do the parenthesis first.
(3 x 8) x 4 = 3x
24 x 4 = 3x
96 = 3x
Now, divide each side by 3 to isolate x.
x = 32
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.
Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?
Answer:
m=10
w=15
Step-by-step explanation:
m + w = 25
3m + 4w = 90
Let's do substitution, first by solving the first equation for m.
m = 25 - w
Substitute!
3(25 - w) + 4w = 90
75 - 3w + 4w = 90
w = 15
m = 25 - 15 = 10
Peony mixes red paint and white paint in the ratio 1:3 She uses four tins of red paint Work out the total number of tins of paint peony uses
Answer:
16
Step-by-step explanation:
4x3=12 tins of white paint
12+4=16 total tins
The total number of tins used by the Peony will be 16.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that Peony mixes red paint and white paint in a ratio of 1:3 She uses four tins of red paint.
The Number of red tins,
R = 4 x 1 = 4
The number of white tins,
W = 4 x 3 = 12
Total number of tins,
T = R +W
T = 4 + 12
T = 16
Therefore, the total number of tins used by the Peony will be 16.
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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.
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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.
how to solve 2 divided by 1/7
Answer:
14
Step-by-step explanation:
You can put it as a fraction like so:
2/1 divided by 1/7
Use the strategy KCF (Keep, Change, Flip)
2/1 x 7/1
=2x7
=14
please help
this is due at noon so anyone who knows this help me.
Answer:
70x+4^2+3
Step-by-step explanation:
Apply properties of operations to write an equivalent expression t+t+t+t
Answer:
4t
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:
1. Yolanda has a 30%-off coupon from her favorite clothing store. She wants to buy a coat that regularly costs $85.40 How much will the coat cost after the coupon is applied?
Answer:
59.78
Step-by-step explanation:
Lol I use the calculator and find the cost of 30 of 85.40 than the number of the percent is 25.62 so I subtract them both and got 59.78 as an answer hope this help
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.
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:
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
HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.
Answer:
10.75
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)
Evaluate the expression. Write the answer in simplest form.
4÷16/17=
Step-by-step explanation:
Turn 4 into 4/1. Then switch 4/1 or 16/17 because I don't know which to switch. If you don't know what I'm talking about, when you switch 4/1 or 16/17, you'll get 1/4 or 17/16. Then you multiply 1/4 × 16/17 or 4/1 × 17/16. You multiply across, like this, 1 × 16 and 4× 17 Same thing with 4/1 × 17/16 but backwards (4×17 and 1×16). Do both equation (4/1 × 17/16 and 1/4 × 16/17) by yourself, then simplest it. Example: 2/4 = 1/2. You divide 2/4 by two, 2÷2 for the numerator and 4÷2 for the denominator. That how you simply.
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?
help please i dont know what to doooo
Gerald has three fewer marbles than Jan together they have 21 marbles which equation represents the situation
Answer:
b
Step-by-step explanation:
-8d - 5d +7d=72 what is the answer i am completely lost
Answer:
d=-12
Step-by-step explanation:
hope this helps!
100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.
Answer:
x = 29Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
Corresponding angles sum to 180
(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29Find 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!
What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6
Answer:
6:8:10:12
Step-by-step explanation:
Scale factor of 2-
3:4:5:6
multiply each number by 2
6:8:10:12
Find the unknown value .
45%=54/⬛️
Answer:
12
Step-by-step explanation:
54/12=4.5 then move the decimal once
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 !!!
John builds a wooden box. ∙ The box is 3 feet long. ∙ The height is half the width. ∙ The volume is 4 times the width. Which equation can be used to find the width, w , of the box?
Answer:
4w=w*3*1/2w
Step-by-step explanation:
4w=w*3*1/2w
Find the perimeter of the figure.
Answer:
It's 54
Step-by-step explanation:
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.
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