2 x 10³ = 2000
5 x 10 = 50
7 x 10⁻² = 0.07
1 x 10⁻³ = 0.001
2050.071
First operation is multiplication .
(2000)+(50) +(0.07)+(0.001) =2050.071
Ugh this is bothering me
Simplify completely
(h12h4)3
Answer:
it is not h^48. I just took the test and its h^24!
Step-by-step explanation:
Write (2x + 1)(3x - 8) in expanded form
Final answer:
The expanded form of the algebraic expression (2x + 1)(3x - 8) is 6x² - 13x - 8.
Explanation:
To expand the algebraic expression (2x + 1)(3x - 8), we'll use the distributive property, which states that a(b + c) = ab + ac. First, we multiply 2x by each term in the second parentheses (3x and -8), and then we multiply 1 by each term in the second parentheses. Let's do this step by step:
Multiply 2x by 3x to get 6x².Multiply 2x by -8 to get -16x.Multiply 1 by 3x to get 3x.Multiply 1 by -8 to get -8.Now, we combine these terms:
6x² - 16x + 3x - 8
Simplify by combining like terms:
6x² - 13x - 8
Therefore, the expanded form of (2x + 1)(3x - 8) is 6x² - 13x - 8.
How do I write a fraction in the simplest form
Ask if the numerator and denominator can be divided by the same number, which is called a common factor.
See if at least one number in the fraction is a prime number.
Simply just find the least common factor between the numerator and the denominator of the fraction, For example, 2/4, you know that between the two numbers, they both share the same common factor, 2, so divide 2 on the top and the bottom, and then your final answer would be 1/2. However, if there seems to be no common factor between the numerator and the denominator for a fraction, do not simplify it any more. You cannot have a decimal as a numerator or a denominator. For example, 3/5 has no common factor so you do not have to simplify it as it is already at its most simplest form.
Hope you found this helpful:)
beef cost $6.00 per pound and the chicken cost 4.50 per pound. he bought a total of 18 lbs and spent $96. how much of each type of meat did he purchase?
Wrong answer :) Please check others
Given that the measure of ∠x is 90°, and the measure of ∠y is 53°, find the measure of ∠z.
Final answer:
The measure of ∠z is 37°
Explanation:
To find the measure of ∠z, we can use the fact that the sum of the angles in a triangle is 180°. Thus, ∠x + ∠y + ∠z = 180°. Given that ∠x = 90° and ∠y = 53°:
90° + 53° + ∠z = 180°
Simplifying the equation:
143° + ∠z = 180°
Subtracting 143° from both sides:
∠z = 180° - 143°
∠z = 37°
The measure of angle ∠z is 37°.
The sum of the angles in any triangle is always 180 degrees. Since you've given me the measures of two angles, I can find the measure of the third angle using the following formula:
measure of angle ∠z = 180° - (measure of angle ∠x + measure of angle ∠y)
From the image, we know that:
measure of angle ∠x = 90° (given)
measure of angle ∠y = 53° (given)
Plugging these values into the formula, we get:
measure of angle ∠z = 180° - (90° + 53°)
measure of angle ∠z = 180° - 143°
measure of angle ∠z = 37°
Therefore, the measure of angle ∠z is 37°.
the larger of two numbers is 7 less than three times the smaller number. if the sum of the numbers is 61, find the numbers
Let X = the large #
Y = the small #
We have 2 unknowns, therefore we need 2 equations to solve for them:
X + Y = 61
X = 3Y - 7
Using the substitution method we get:
X + Y = 61 original equation
(3Y - 7) + Y = 61 substituting for X
4Y - 7 = 61 combine like terms
4Y - 7 + 7 = 61 + 7 add 7 to both sides
4Y = 68 simplify
4Y/4 = 68/4 divide both sides by 4
Y = 17 solve for Y
X + Y = 61 original equation
X + 17 = 61 replace Y with 17
X + 17 - 17 = 61 - 17 subtract 17 from both sides
X = 44 solve for X
Check your answer:
X + Y = 61 X = 3Y - 7
44 + 17 = 61 44 = 3(17) - 7
61 = 61 check! 44 = 51 - 7
44 = 44 check!
Therefore, the larger #(X) = 44 and the smaller #(Y)= 17.
PLEASE HELP!! QUESTION IS ON THE PHOTO!!
Answer:
Option 4: [tex]\frac{8\frac{1}{2} }{\frac{5}{6} } =x[/tex]
Step-by-step explanation:
Total length of the board = [tex]8\frac{1}{2}[/tex] feet
Length of the smaller board to be cut = [tex]\frac{5}{6}[/tex] feet
So,
[tex]8\frac{1}{2} =\frac{5}{6} +\frac{5}{6} +\frac{5}{6} ....x[/tex] times.
[tex]8\frac{1}{2} =x(\frac{5}{6} )[/tex]
[tex]\frac{8\frac{1}{2} }{\frac{5}{6} } =x[/tex]
which equation is in slope intercept form and represents a line with slope 3 through the point (9,-4)?
Answer:
y = 3x - 23
Step-by-step explanation:
y + 4 = 3(x - 9)
y + 4 = 3x - 27
y = 3x - 23
Indicate whether the lines are parallel, perpendicular, or neither. Justify your
answer.
a. y = 4x − 1 and 12x = 3y + 7
These lines would be perpendicular.
If we divide 3y+7 by 12, we would get 1/4y+7/12
Now, if we re arange for y, we get: y=-1/4x+7/3
In this case, the y intercept (7/3) does not matter, only the slope does. The slope must be the opposite reciprical of the other slope. For instace if the slope was 4, the perpendicular lines slope must be -1/4. That is the exact case we have above.
Really hope that I helped :)
Let me know if you have any furthere questions!
-CSX
When Jose and Sean were 5 years old Jose was 1 1/2 inches taller than Sean then Jose grew at an average of 2 3/4 inches per year until he was 13 years old.jose was 63 inches tall when he was 13 years old. How tall was Sean when he was 5 years old
Sean's height when he was 5 years old is given as follows:
39.5 inches.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.Jose grew at an average of 2 3/4 inches per year, hence the slope is given as follows:
m = 2.75.
Thus:
J(x) = 2.75x + b.
Jose was 63 inches tall when he was 13 years old(8 years after he was 5 years old), hence the intercept b is given as follows:
63 = 2.75(8) + b
b = 63 - 2.75 x 8
b = 41 inches.
When Jose and Sean were 5 years old Jose was 1 1/2 inches taller than Sean, hence Sean's height is given as follows:
41 - 1.5 = 39.5 inches.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Twice a number decreased by 8 is 2 less than half the number. What is the number?
Answer:
4
Step-by-step explanation:
with th information given we can express the equation:
[tex]2x-8=\frac{x}{2} -2[/tex]
where [tex]x[/tex] is the unknown number.
to clear for [tex]x[/tex] first we multiply the equation by 2, to eliminate the fraction:
[tex]2(2x-8=\frac{x}{2}-2 )\\4x-16=x-4[/tex]
moving all terms with [tex]x[/tex] to the left:
[tex]4x-x-16=-4\\3x-16=-4[/tex]
and adding +16 to each side:
[tex]3x-16+16=-4+16\\3x=12[/tex]
and finally, dividing by 3
[tex]x=\frac{12}{4} =4[/tex]
the number is 4.
y=5 horizontal or vertical? x=3 horizontal or vertical?
Y= vertical & x= horizontal
y=vertical and x=horizontal
Hope this helps ^_^
Just the two circled ones please- unit rates. Also can someone explain how they got the answer? I am having trouble with these two
4.
In both cases divide the number of laps by the number of minutes to find the unit rate in laps per minute.
30 laps in 12 minutes: (30 laps)/(12 minutes) = 2.5 laps/minute
120 laps in 48 minutes: (120 laps)/(48 minutes) = 2.5 laps per minute
The rates are equivalent.
6.
I can't see the dimensions of the picture.
Do this:
Do these two divisions.
Divide the width by the length of the poster and of the picture.
Poster: (60 inches)/(100 inches) = 0.6
Picture: (width of picture)/(length of picture) = ?
If the second division also equals 0.6, then the ratios are equivalent.
Jackie had $135 to spent at the mall she spent 29% of the money on a dress. Jackie spent $_ on the dress ?
Jackie spent $39.15 on the dress.
I need help please!
simplify:
Select one:
a. none of these
b. x20
c. x120
d. x14
It would be (x^7)*(x^7)
Well, first, you must simplify each monomial and get rid of the parentheses. This can be done by adding the exponents together, as [tex]x^3[/tex] is being multiplied by [tex]4[/tex]. The same goes for [tex]x^2[/tex]. This would give you the expression: [tex]x^7*x^7[/tex]
Once again, add the two exponents together and you get your answer: [tex]x^1^4[/tex]
To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minutes, how many hours and minutes does the person have to walk to lose two pounds? Round your answer to the nearest minute.
Answer: 19.44 hours or 19 hours and 26 minutes.
Step-by-step explanation:
1. To lose 1 pound, a 200-person must burn 3,500 calories. Therefore, to lose 2 pounds that person must burn 7,000 calories.
2. If the person burns 180 calories by walking for 30 minutes or [tex]\frac{1}{2}[/tex] hour, to calculate the time in hours the person has to walk to lose 2 pounds, you can multiply 7,000 calories by [tex]\frac{1}{2}[/tex] hour and divide by 180 calories:
[tex]time=\frac{(7,000Cal)(\frac{1}{2}h)}{180Cal}\\time=19.44h[/tex]
3. You have:
[tex]minutes=(0.44)(60)\\minutes=26.4min\\minutes=26min[/tex]
4. Then, you can express it as following:
19 hours and 26 minutes
To lose two pounds, a 200-pound person who burns 180 calories per 30-minute walk needs to burn 7,000 calories in total. This can be found by dividing the total amount to burn (7,000) by the amount burned per walk (180) and converting the result from minutes to hours and minutes.
Explanation:To determine how much time this 200-pound person needs to walk to lose two pounds of weight, we need to first calculate the total amount of calories he or she needs to burn. Since it requires a 3,500-calorie deficit to lose one pound of weight, two pounds would require burning a total of 7,000 calories. Given that this person burns 180 calories per 30-minute walk, we can calculate the total amount of time required to burn these calories by walking. First, calculate the total walks needed by dividing the total calories to burn (7,000) by the amount of calories burned per walk (180). Then convert the result from minutes to hours and minutes.
Learn more about Weight loss calculation here:https://brainly.com/question/15607011
#SPJ12
Another way to write this problem: mq-rp=d
d + mq = rp
or
rp + d = mq
A washer and a dryer cost 634 dollars combined. The washer cost 66 dollars less than the dryer. What is the cost of the dryer?
Steps to Solve:
1. 634 / 2 = 317
2. 317 + 66 = 383
Answer:
A = $383
Notes:
Read the question, this problem is not that hard to solve!
Sal washed 5 cars in 50 minutes unit rate
it took him 10 minutes to wash each car
Quadrilateral RSTU has vertices R(1,3), S(4,1), T(1,-3) and U(-2,-1). Is it true or false that this is a rectangle because the diagonals are congruent and the sides RS and ST are perpendicular?
Given vertices ofQuadrilateral RSTU as R(1,3), S(4,1), T(1,-3) and U(-2,-1).
We need to check if diagonals are congruent.
The coordinates of verticales diagonal RT are R(1,3) and T(1,-3).
The coordinates of verticales diagonal SU are S(4,1), and U(-2,-1),
By applying distance formula:
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
RT = [tex]=\sqrt{\left(1-1\right)^2+\left(-3-3\right)^2}[/tex]=[tex]\sqrt{36}[/tex]
RT = 6
SU [tex]=\sqrt{\left(-2-4\right)^2+\left(-1-1\right)^2}[/tex].
[tex]=2\sqrt{10}[/tex].
Diagonal RT is not congruent to Diagonal SU.
Therefore, Quadrilateral RSTU is not a rectangle because the diagonals are not congruent.
So, it is False.
Final answer:
The quadrilateral RSTU is not a rectangle due to not having all right angles, making it a parallelogram.
Explanation:
The given quadrilateral RSTU is not a rectangle. To determine if it's a rectangle, we need to check if all angles are right angles, which is not the case here even if the diagonals are congruent and RS and ST are perpendicular.
Since the angles are not all right angles, the shape formed is a parallelogram. A rectangle must have all angles as right angles, so these conditions do not define a rectangle.
How can you use a number line to compare any two numbers
no. you many not .....
You can use a number to compare two numbers by figuring out which one is least and which one is greater or if something is positive or negative.
Solve the following equation then place the correct number in the box provided 3(2x+5)> 2(x+6)
The answer is actually x ≥ -3/4
If 80 is decreased by 30%, what is the new amount?
Answer:
The answer is 56.. hope I helped thanks and bye.
Round 146.56 to the nearest tenth.
Because the 6 in the hundredths place is bigger than 5( the maximum) the tenths place will automatically round up to the next following number. The answer will be 146.6
Are 5/6 and -4.713 on the same side or the opposite side of zero ?
What’s the place value of 3 in 167.43
Note the place values:
1 : hundred
6 : tens
7 : ones
.
4 : tenths
3 : hundredths
Look at the place value for 3. It is in the hundredths value, therefore, Hundredths is your answer
~Rise Above the Ordinary
Slope=2/3 contains (6,-1)
The answer you are looking for is Y = 2/3X - 5.
To find this, you must fill in the equation Y = MX + B, where Y = -1, M = 2/3, and X = 6. Filling in for those variables, you should get -1 = 2/3(6) + B. Now, you solve for B. Multiply 6 and 2/3 together, by putting 6 over 1 and multiplying straight across. 6 times 2 is 12 and 1 times 3 equals. This will give you 12/3, which simplified, is 4. Then, subtract 4 from both sides to get B = -5. Finally, fill in Y = MX + B, but this time only fill in M (2/3) and B (-5). This making Y = 2/3X - 5 the answer. Here's a graph to show this is the correct answer.
I hope this helps!
Simplify. 7square toot 32-6square root 72
[tex]7\sqrt{32}-6\sqrt{72}=7\sqrt{16\cdot2}-6\sqrt{36\cdot2}\\\\=7\cdot\sqrt{16}\cdot\sqrt2-6\cdot\sqrt{36}\cdot\sqrt2\\\\=7\cdot4\cdot\sqrt2-6\cdot6\cdot\sqrt2=28\sqrt2-36\sqrt2\\\\=-8\sqrt2[/tex]
[tex]Used:\\\\\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]
Please help me and let me know if number a is wrong or not
its kinda upside down
Riley has a piece of yarn that is 6 1 2 ft long. She wants to cut the yarn into sections that are each 1 4 ft long. How many sections will the yarn be cut into?
Answer: The yarn will be cut into 26 sections.
Step-by-step explanation:
Since we have given that
Length of piece of yarn = [tex]6\dfrac{1}{2}=\dfrac{13}{2}\ feet[/tex]
Length of section = [tex]\dfrac{1}{4}\ feet[/tex]
We need to find the number of sections that will be cut into:
So, the number of sections would be
[tex]\dfrac{13}{2}\div \dfrac{1}{4}\\\\=\dfrac{13}{2}\times \dfrac{4}{1}\\\\=13\times 2\\\\=26[/tex]
Hence, the yarn will be cut into 26 sections.