simplify. remove grouping sbols and combine like terms
Answer:
[tex]5a^2+12b^2-40b[/tex]
Step-by-step explanation:
First distribute the -4 to the 2b and -3b. This leaves you with [tex]5a^2-8b+12b(b+4)[/tex]
Now you can distribute the 12b to b and +4. This leaves you with [tex]5a^2-8b+12b^2+48b[/tex]
Now you can combine your like terms leaving you with [tex]5a^2+12b^2-40b[/tex].
find the sum and then classify it.5/6+√91
Answer:
10.3727253…, irrational
Step-by-step explanation:
Just took the test
The flute players are 3/10 of the band and the trumpet players are 1/12 of the band. Is a greater fraction of the band flute players or trumpet players?
find the area of a circle with a radius of 6.7 m to the nearest square unit
Answer:
141 Square units.
Step-by-step explanation:
Area of a circle is equal to pi*radius squared.
[tex]A = \pi \times 6.7^{2} \\A = 141.026....\\A \approx 141 u^2[/tex]
Answer:
A = 141 m²
Step-by-step explanation:
The formula of an area of a circle with radius r:
[tex]A_O=\pi r^2[/tex]
We have r = 6.7m. Substitute:
[tex]A_O=\pi\cdot6.7^2=\pi\cdot44.89\approx3.14\cdot44.89=140.9546\approx141\ m^2[/tex]
Find the x-intercept and the y-intercept for 2x+y=8 then use them to graph the line.
Find the x-intercept by substituting in 0 for y and solving for x.
Find the y-intercept by substituting in 0 for x and solving for y.
Let's find the x-intercept first: 2x + (0) = 8
2x = 8
Divide both sides by 2 to isolate and solve for the variable x, or the x-intercept.
x = 4 (x-intercept)
Now find the y-intercept: 2(0) + y = 8
Multiply 2 and 0.
y = 8 (y-intercept)
You have found the x-intercept to be 4 and the y-intercept to be 8. To graph the line, place a point on (4, 0) <== x-intercept and a point on (0, 8) <== y-intercept.
Your line should look like the attached image :)
How to write 50 hundredths
50 hundredths as a Fraction
Since 50 hundredths is 50 over one hundred, 50 hundredths as a Fraction is 50/100.
50 hundredths as a Decimal
If you divide 50 by one hundred you get 50 hundredths as a decimal which is 0.50.
50 hundredths as a Percent
To get 50 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 50 percent.
N(17+x)=34x-r solve for x
Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
[tex]x = -\frac{17N+r}{N-34}[/tex]
Step-by-step explanation:
[tex]N(17+x)=34x-r\\17N+Nx=34x-r\\Nx-34x=-r-17N\\x(N-34)=-r-17N\\x=\frac{-r-17N}{N-34}[/tex]
Three coins are flipped. What is P(heads, heads, heads)?
Answer: .125 or 1/8
Step-by-step explanation: *Use a tree diagram*
The probability of 3 times coming head is 1/8.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
Three coins are flipped.
The probability of the coin coming head is;
[tex]\rm P(head)=\dfrac{1}{2}[/tex]
The probability of 3 times coming head is;
[tex]\rm P(heads,\ heads, \ heads)=\dfrac{1}{2} \times \dfrac{1}{2} \times\dfrac{1}{2} \\\\ P(heads,\ heads, \ heads)=\dfrac{1}{8}[/tex]
Hence, the probability of 3 times coming head is 1/8.
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Which is a correct first step for solving this equation? x+7=2x+5−4x
First Solving for like terms such as 2x+-4x = -2
x+7=2x+5−4x
x + 7 = 2x + 5
x + 2x = 5 - 7
3x = -2
x = -2/3
So the answer should be to combine the like terms in step two. x + 7 = -2x + 5
Suppose f(x)=3x^2-2x
Find f (-4)
f(-4) = 3(-4)^2 - 2(-4)
f(-4) = 3(16) + 8
f(-4) = 48 + 8
f(-4) = 56
I think the answer is 56 :)
Please give BRAINIEST :)
The answer is 56
Here's how I got my answer:
Step 1: Replace all the x's in the equation. Which leaves us with [tex]3(-4)^2-2(-4)[/tex]
Step 2: Solve [tex]-4^2[/tex], which is [tex]16[/tex]. That leaves is with [tex]3(16)-2(-4)[/tex]
Step 3: Solve [tex]2(-4)[/tex], which is [tex]-8[/tex]. That leaves us with [tex]3(16)+8[/tex]
Step 4: Solve [tex]3(16)[/tex], which is [tex]48[/tex]. That leaves us with [tex]48+48[/tex]
Step 5: Simplify [tex]48+48[/tex] to get your answer, 56.
What do I have to multiply or divide to get the answer?
Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb = 454 g How much does the parcel weigh to the nearest whole kilogram?
Based on unit conversions, the weight of the parcel to the nearest whole kilogramm is 6 kg.
How the weight is determined:The weight in kilogram can be determined using unit conversions from pounds to kilograms as follows:
The weight of the parcel = 12 lbs 8 oz.
1 lb = 16 oz
12 lbs 8 oz = 200 oz (192 + 8)
200 oz = 12.5 lbs (200 ÷ 16)
1lb = 454 g
12.5 lbs = 5,675 g (12.5 x 454)
1,000 g = 1 kg
5,675 g = 5.675 kg (5,675 ÷ 1,000)
Approximation:
5.675 kg ≈ 6 kg.
Thus, we can conclude that 12 lbs 8 oz equals 6 kilograms approximately.
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To find the weight of Adam's parcel to the nearest whole kilogram, first convert the weight from pounds and ounces to grams, and then convert to kilograms. After conversions and rounding, the parcel weighs approximately 6 kilograms.
The question asks to convert the weight of a parcel from pounds and ounces to kilograms. We'll start by converting the entire weight into grams and then convert grams to kilograms, rounding to the nearest whole number.
To convert 12 lbs 8 oz to grams, we need to convert the pounds and ounces separately and then add them together. There are 16 ounces in a pound, so 12 lbs is the same as 192 oz (12 lbs x 16 oz/lb). Therefore, the total weight in ounces is 192 oz + 8 oz = 200 oz.
Next, we convert the ounces to grams using the fact that 1 oz = 28.35 g. So, 200 oz is equal to 200 oz x 28.35 g/oz = 5670 g. To convert grams to kilograms, we use the fact that 1 kg = 1000 grams. Hence,
We then divide the weight in grams by 1000 to get the weight in kilograms: 5670 g \/ 1000 = 5.67 kg. Since we want to round to the nearest whole kilogram, we round 5.67 kg to 6 kg.
Therefore, Adam's parcel weighs approximately 6 kilograms when rounded to the nearest whole number.
a company charges $8 an hour for lawn mowing. what would the company charge for a lawn that takes 1 hour and 45 minutes to mow?
there are 60 minutes in an hour so
t = 1 45/60 = 1 3/4
t = (4 * 1 + 3)/4 = 7/4
$ 8* 7/4 = 56/4 = $14
they will charge $14.00
please help on four and six
4) 600
Using the equation 450=0.75(x)
you find x and you get 600 since it needs to be 75% of a number to be 450
6) 500
Using the equation 75=0.15(x)
You find and you get 500
Dahlia is simplifying (3t)^4 using these steps:
(3t)^4 =3t•3t•3t•3t =3•3•3•3•t•t•t•t
Although Dahlia is correct so fast which step could she have used instead to simplify the expression (3t)^4 ?
A. 3t =3t⁴
B. 3⁴ =81t
C. 4(3t)= 12t
D. 3⁴t⁴ =81t⁴
D. 3⁴t⁴ =81t⁴.
81t⁴ is going to be your answer.
Here is how you get it:
3t(3)t(3)t(3)t =3*t*3*t*3*t*3*t
=81*t^4
=81t^4
what is the product of (1.2)×5
It's 6. (1.2)x5 is just 1.2x5, which equals to 6.
is 0.99 greater than or less than 0.1
0.99 > 0.1 Because 0.1,0.2,0.3 ect
.1 written is written as .10
.99 is closer to one
That makes .10 less than .99
For this reason, .99 is greater than .10
Another example you could grasp is .5 .17
.5 is written as .50
.50 is closer to one making it closer to 1 and thus .5 is greater than .17
Due to all of the explanations provided above, .99 is greater than .1
what is the midpoint of the vertical line segment graphed below?
Answer:
the answer is A
Step-by-step explanation:
you just subtract the y2 by the y1
Answer:
Midpoint of the vertical line segment graphed below is:
(2, -2.5)
Step-by-step explanation:
Mid point of (x1,y1) and (x2,y2) is (a,b)
where [tex]a=\dfrac{x1+x2}{2}\ and\ b=\dfrac{y1+y2}{2}[/tex]
Here, (x1,y1)=(2,4) and (x2,y2)=(2,-9)
[tex]a=\dfrac{2+2}{2}\ and\ b=\dfrac4-9}{2}[/tex]
⇒ a=2 and b= -5/2= -2.5
Hence, midpoint of the vertical line segment graphed below is:
(2, -2.5)
What is −9/4v+4/5=7/8 thanks!
To solve the equation -9/4v + 4/5 = 7/8, subtract 4/5 from both sides, find a common denominator for 7/8 and 4/5, simplify, and multiply by 4/9 to solve for v.
Explanation:To solve the equation -9/4v + 4/5 = 7/8, we need to isolate the variable v. To do this, we can start by subtracting 4/5 from both sides of the equation, which gives us -9/4v = 7/8 - 4/5. Next, we need to find a common denominator for 7/8 and 4/5. The least common multiple of 8 and 5 is 40, so we can rewrite both fractions with a denominator of 40. This gives us -9/4v = 35/40 - 32/40. Continuing to simplify, we get -9/4v = 3/40. To get rid of the fraction, we can multiply both sides of the equation by 4/9, canceling out the fraction on the left side. This gives us v = (3/40) * (4/9), which simplifies to v = 1/30.
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Solve the following inequality then place the correct answer in the box provided 8x-1<15
The capacity of a beaker is 0.1 liter. Convert to milliliter
I believe the answer is 100 milliliters
The capacity of the beaker is is 100 ml
Further Explanation
The capacity of a beaker is 0.1 L, convert this to milliliters (ml). We can say that the capacity in ml is variable x.
We know that:
[tex]\boxed {1L = 1000ml }\\[/tex]
so , to find the 0.1 L in milliliter :
[tex]\boxed {\frac{1000 ml}{1 L} = \frac{x}{0.1 L} }\\\boxed {x = \frac{1000ml \times0.1L}{1L} }[/tex]
we can cancel the Liter (L) unit in the above equation because it is both in the top and bottom:
[tex]\boxed { x= 100ml }[/tex]
From the above step-by-step, we can conclude three step in converting:
Write the conversion in fractionMultiplyCancel any units that are both top and bottomLiter (L) and milliliter (ml) are the most unit of volume use in metric system of measurement.
[tex]\boxed {1L =1000 ml = 1dm^{3} }[/tex]
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Keywords: conversion, converting liter to milliliter, converting unit of volume, unit of volume, capacity of a beaker
if n represents a number write an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number
A number is represented by = n.
We need to write an expression for "an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number ".
Let us break the statement into smaller parts.
"The quantity of four less than the square of this number(n)".
Square of n is = n^2.
4 less than n^2 = n^2 -4.
"This number(n) divided by the quantity five more than four times the number"
4 times the number n = 4×n = 4n.
Five more than four times the number = 4n +5.
Therefore, we can repharse given statement by an easy way as:
" 4 less than n^2 is divided by (4n+5)."
or (n^2 - 4) ÷ (4n+5).
In fraction form : [tex]\frac{n^2 - 4}{4n+5}[/tex]
Therefore, final expression would be [tex]\frac{n^2 - 4}{4n+5}[/tex].
The expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number is (n^2 - 4) / (4n + 5)
Explanation:To write an expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number, we can represent the number as 'n'.
The square of the number is written as n2.
Four less than the square of the number is (n2 - 4).
Five more than four times the number is (4n + 5).
Therefore, the expression for the given quantity is:
(n2 - 4) / (4n + 5)
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Slope=4 contains (-4,-2)
The answer you are looking for is Y = 4X + 14.
To find this, you must solve for B. In doing so, you fill in the equation Y = MX + B, where M = 4, Y = -2, and X = -4. Filling in, you should get -2 = 4(-4) + B, which now you solve for B. Multiply -4 and 4 together to get -16, then add 16 to both sides. This will make B = 14. Finally, fill in Y = MX + B once more, this time only with M and B. Thus making Y = 4X + 14 the answer. Here's a graph to show this is correct.
I hope this helps!
Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week.
How many times farther did Joan’s sister walk than Joan?
joans sister walked 3 times farther.
500 grams of sugar occupies a volume of a 0.315 liters whats the density of the sugar in grams per milliliter
Answer
Density of Sugar is 1.59 grams per milliliter.
Step-by-step explanation:
The answer is required to be given in grams per milliliter.
So we should first convert the values to match the units.
Sugar is given as 500 grams so we don't need to change the units.
Volume is given in liters. So we need to change it to milliliters.
There are 1000 milliliters in 1 liter.
Therefore,
[tex]0.315[/tex] liters = [tex]0.315*1000[/tex] milliliters
=[tex]315[/tex] milliliters
Density of Sugar = {Number of grams of Sugar/ Volume of the Solvent]
=500 grams / 315 milliliters
=1.59 grams per milliliter (Answer is given to 2 decimal places)
Final answer:
The density of sugar given the mass of 500 grams and a volume of 0.315 liters is calculated as 1.587 grams per milliliter (g/mL) after converting liters to milliliters.
Explanation:
To calculate the density of sugar in grams per milliliter (g/mL), we utilize the formula density = mass/volume.
Given that we have 500 grams of sugar occupying a volume of 0.315 liters, first, we need to convert the volume from liters to milliliters for consistency in units, knowing that 1 liter equals 1000 milliliters.
Thus, 0.315 liters is equal to 315 milliliters.
Applying the formula, the density = 500 grams / 315 milliliters.
Therefore, the density of the sugar is 1.587 g/mL.
This value indicates the mass of sugar that would occupy a one milliliter volume.
What will be the ratio of circles to triangles in a drawing showing 4 circles and 7 triangles?
Answer: 4:7
Step-by-step explanation:
Explain this sequence : 1234, 123.4, 12.34, 1.234, .1234, .01234, .001234
In every number you are dividing by 100 hope this helps 1234 ÷100 = 123.4÷100=12.34 ect...
Answer:
actually you divide by 10. 1234÷10, 123.4 ÷10, etc.
Step-by-step explanation:
Working out for 63+9×8+72÷9-13
Hello there!
This question is about to used their order of operations.
Order of operations stands for
↓
P-Parenthesis
E-Exponents
M-Multiply
D-Divide
A-Add
S-Subtract
63+9*8+72÷9-13
63+72+72÷9-13
135+72÷9-13
135+8-13
143-13
=130
Answer⇒⇒ 130
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
HELP PLEASE!! Multiply. states any excluded values. q + 5/-3 • -3q/q + 2
[tex]\dfrac{q+5}{-3}\cdot\dfrac{-3q}{q+2}=\dfrac{(q+5)(-3q)}{(-3)(q+2)}\qquad\text{use distributive property}\\\\=\dfrac{(q)(-3q)+(5)(-3q)}{(-3)(q)+(-3)(2)}=\dfrac{-3q^2-15q}{-3q-6};\ q\neq(-2)[/tex]
V=1/2at^2 solve for t
[tex]\dfrac{1}{2}at^2=V\qquad\text{multiply both sides by 2}\\\\at^2=2V\qquad\text{divide both sides by}\ a\neq0\\\\t^2=\dfrac{2V}{a}\to\boxed{t=\sqrt{\dfrac{2V}{a}}}[/tex]