Answer:
2.4 *103 = 247.2
1.5*103 = 154.5
3.6*106 = 381.6
3.9*106 = 413.4
3.6*109 = 392.4
3.9*109 = 425.1
Step-by-step explanation:
2.4 * 103
we firstly count decimal numbers
in the calculation
only 2.4 has a decimal and only one number after the point
so we keep it aside making
2.4 = 24 1 dp (decimal place)
back to the calculation
1 0 3
* 2 4
----------
4 1 2
2 0 6
-------------
2 4 7 2
-------------
don't forget we still have a dp !
so we place the point 1 step backward
2472 to 1dp =
247.2
with this we can solve orders
please help
7.8 • 10^8
1.5 • 10^9
(5^3)^2 • 5^0
Answer:
780,000,000
1,500,000,000
15625
Step-by-step explanation:
[tex]10^{8}[/tex] = 100,000,000
7.8 x 100,000,000 = 780,000,000
[tex]10^{9}[/tex] = 1,000,000,000
1.5 x 1,000,000,000 = 1,500,000,000
[tex]5^{0}[/tex] = 1
([tex]5^{3}[/tex])² = [tex]5^{3}[/tex] x [tex]5^{3}[/tex] = 125 x 125 = 15625
15625 x 1 = 15625
Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).
The complete factor of the expression [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex] is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex]correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is [tex]\rm 8x^5 + 2x^4 + 4x^2[/tex].
To solve the expression properly we have to take common (2x²). Then we have
[tex]\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )[/tex]
The factor is [tex]\rm 2x^{2} (4x^3 + x^2 + 2 )[/tex].
More about the factorization link is given below.
https://brainly.com/question/6810544
So i have 3 questions:
1. In 1/4 of a minute, Devon swam 1/3 of his race. At that rate, how long did it take for him to complete the race?
2. Graves market sells 12 cans of window cleaner for $75. 0. Hanks grocery sells 5 cans of the same brand for $32. Give each store unit rate in cost per can of window cleaner. Which store offers a lower unit rate?
3. Mckenzies goal is to score 15 baskets; she scored 11 so far. Write and solve an equation to find out how many more baskets Mckenzie needs to meet her goal. Let b stand for the number of baskets needed.
PLEASE HELP
1)3 over 4
2)graves market
3)b+11=15
15-11
b=4
Step-by-step explanation:
1) 1 over 4 divided by 1 over 3=1 over 4 × 3=3 over 4
2)graves markets unit rate=75/12
6
hank's stores unit rate=32/5
6.4
therfore,answer should be graves market
3) b stands for the number of baskets and she has already made 11 baskets so just a quick equation would be this.☝️
The lines below are parallel. If the slope of the green line is -2 what is the slope of the red line?
Answer:
-2
Step-by-step explanation:
When 2 lines are parallel that means they have the same slope but diffrent y-intercepts. You can also double check this by counting what the slope is on the graph itself, the red line's equation is y=-2x + 2 while the green line's in y = -2x - 4.
Hope this helps!! :)
(Sorry if this is a bit in-depth, I'm just really passionate about people understanding slope)
help me pls asap
Draw models to demonstrate that multiplying by a fraction
less than one will result in a product less than the whole number you
started with.
Answer: B
Step-by-step explanation:
Which is true for the following equation? f(x) = −4x2 + 6x − 7 options: The graph opens up and the vertex is a maximum. The graph opens up and the vertex is a minimum. The graph opens down and the vertex is a maximum. The graph opens down and the vertex is a minimum.
Answer:
first statement
Step-by-step explanation:
The graph opens up and the vertex is a maximum
Please help Brainliest
Answer:
Step-by-step explanation:
It is choice B.
If you notice the little square at the bottom of the angle, that means that the angle is ninety degrees.
So 5x+30 + 5x = 90
Hope that helps!
For every pound a company spends on advertising, it spends £0.45 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
If the company spends 100 pounds on advertising, it would spend 0.45 x 100 = 45 pounds on the website.
So, we can write the ratio spent on advertising to the amount spent on its website as 100:45
If we divide both numbers by a same number, we get an equivalent ratio (simplification)
100:45 = (100:5):(45:5) = 20:9
So, the ratio in its simplest form is 20:9
Find the value of x, y, and z in the rhombus below.
Answer:
x = 20
y = -7
z = -11
Step-by-step explanation:
Sum of interior angles of a rhombus = 360°
The opposite angles of a rhombus are equal to each other.
The adjacent angles are supplementary (add up to 180°)
Therefore,
66 + (6x - 6) = 180
⇒ 66 + 6x - 6 = 180
⇒ 6x = 180 - 66 + 6
⇒ 6x = 120
⇒ x = 120 ÷ 6
⇒ x = 20
66 + (-10z + 4) = 180
⇒ 66 - 10z + 4 = 180
⇒ -10z= 180 - 66 - 4
⇒ -10z = 110
⇒ z = 110 ÷ -10
⇒ z = -11
(6x - 6) + (-10y - 4) = 180
⇒ 6x - 6 - 10y - 4 = 180
⇒ 120 - 6 - 10y - 4 = 180
⇒ -10y = 180 - 120 + 6 + 4
⇒ -10y = 70
⇒ y = 70 ÷ -10
⇒ y = -7
hich ratio expresses the scale used to create this drawing? The camping site has dimensions of 15 meters by 60 meters.
Answer:
D. 1 square/ 4 meters = 12 square/48 meters
Step-by-step explanation:
You scale down by simplifying the fraction of 12/48. You would divide both 12 and 48 by 12, since it is the highest divisor. And once you divide the two you get 1/4.
What is 6,010,499,999 rounded to the nearest billion?
Answer:
6000000000
Step-by-step explanation:
Given the following question:
[tex]6,010,499,999[/tex]
Find the billions place value:
[tex]billions=6[/tex]
Round to the nearest billion:
[tex]6,010,499,999[/tex]
[tex]0<5[/tex]
[tex]6000000000[/tex]
Your answer is "6000000000."
Hope this helps.
please help im stuck need help
Answer:3
Step-by-step explanation:
250-3= 247,
If each classmate has to get a whole cookie then
247/3= 3.38
You cannot give more than you have (she can’t give 3.38 cookies because those aren’t whole cookies, she cannot also give 4 cookies because she doesn’t have enough to give 4 one person will probably get only 3 or something) so the only option is to give 3 cookies to each classmate.
5) Lee's model airplane flies at 18 miles per hour. Lee took the plane to a field in windy weather. It took six minutes to fly 2.2 miles with the wind. How fast was the wind blowing?
The wind is blowing at the rate of 4 miles per hour
Speed and distancesThe formula for calculating speed is expressed as:
Speed = Distance/Time
Given the following parameters
Speed of airplane = 18 miles per hour
Speed in wind = 2.2 * 10 = 22 miles/hr
Speed of the wind = 22 - 18
Speed of the wind = 4mi/hr
Hence the wind is blowing at the rate of 4 miles per hour
Learn more on speed here: https://brainly.com/question/4931057
What is 0.375 expressed as a fraction
Answer: 3/8 I think or just multiply and divide 0.375 by 1000.
Step-by-step explanation:
The average height of boys at Greg's school is 5'9" with a
standard deviation of 2". Remember that Greg is 6'3". If
we assume the population is normally distributed.
1. What percent of students in the school are shorter than Greg?
2. What percent of students are between 5'5" and 5'11"?
Look at the table on texts assigned to students. A 4-column table with 3 rows titled texts assigned to students. The first column is blank with entries fiction, non-fiction, total. The second column is labeled poetry with entries 0. 2, a, 0. 18. The third column is labeled prose with entries 0. 8, 0. 9, 0. 82. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which value for a completes the conditional relative frequency table by row? 0. 01 0. 02 0. 1 0. 2.
Answer:maybe 9 but if not is 8 and the seond is 321
Step-by-step explanation:
two segments are divided proportionally. If the ratio of the two parts of the first segment is 3:5, what is the length of the longer part of the second segment if the shorter measures 21 cm?
a. 30 cm b. 33cm c. 35 cm d. 37 cm
Answer:
C.35 cm
Step-by-step explanation:
[tex] (\frac{21}{3} ) \times 5 = \\ 7 \times 5 = 35[/tex]
The length of the longer part of the second segment is 35cm.
What is proportion ?"Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers."
"Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion"
Given here,
length of the shortest line segment is 21cm.
and ratio in which the length segment are been divided is 3:5
the length of the longest segment will be 21/3 * 5 = 35
Hence the length of the longest side will be 35cm.
To know more about proportions here
https://brainly.com/question/13419413
#SPJ2
someone please help
will give brainliest answer btw
thanks
Answer:
x = 112°
Step-by-step explanation:
Isosceles triangles always have 2 congruent base angles.
Working our way from right to left, we know the base angles are 17° each. Using the sum of interior angles of a triangle, we can find our 3rd angle.
180 - 17 - 17 = 146°
Now we can find the first base angle of the next triangle over because the 146 is part of a supplementary angle, meaning it will add up to 180.
180 - 146 = 34°
Since this is one of the base angles, label the other base and use the sum of interior angles of a triangle again.
180 - 34 - 34 = 112°
Another supplementary angle though this time it's formed from 3 angles.
180 - 112 - 17 = 51°
Label the other base and use the sum of interior angles of a triangle.
180 - 51 - 51 = 78°
3 angle supplementary angle.
180 - 78 - 34 = 68°
Label the other base. Since this is our last supplementary angle formed with only 2 angles, we can subtract 68 from 180 to get the value of x.
180 - 68 = 112°
Hope this helps~!
Question in picture!! Show all work!
Answer:
first number = 2
second number =10
Step-by-step explanation:
here's how you gonna do it
we will use simultaneous equations because there are 2 conditions about the same two numbers ..
X for 1st number ... Y for the 2nd
X + Y = 12 (1)
5X + 2Y = 30 (2)
we have to make one of the variables equalled either by multiplying x in (1) by 5 ..or Y by 2 ...lets do the 2nd option
2X + 2Y = 24 lets call it (1)*
5X + 2Y = 30 (2)
if both 2Y are positive or negative.. we'll use subtraction (if both 2Y were different one's positive and other’s negative we will use addition)
(2) - (1)*
3X = 6 then divide both sides by 3
X = 2
now lets find the other value using equation (1)
2 + Y = 12
then Y = 10
sin a/a = sin b/b evaluate sin b given that sin a = 1 , a = 10 and b = 9 . give your answer in its simplest form.
Work Shown:
[tex]\frac{\sin(a)}{a}=\frac{\sin(b)}{b}\\\\\frac{1}{10}=\frac{\sin(b)}{9}\\\\\frac{\sin(b)}{9} = \frac{1}{10}\\\\\sin(b) = 9*\frac{1}{10}\\\\\sin(b) = \frac{9}{10}\\\\[/tex]
For more info, check out the law of sines.
PLEASE HELP 8th grade
Answer:
Answer is 6.40 units
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
fill in the sides for a and b
4^2 + 5^2 = c^2
simplify
16+25 = c^2
41 = c^2
Sqrt both sides
c = 6.4
Answer:
6.40 units
Step-by-step explanation:
You can use the equation a^2+b^2=c^2 for this. C is the unknown and the hypotenuse.
In this case, 4^2+5^2=c^2.
16+25=c^2
41=c^2
sqrt{41}= c
Approximately 6.40312
Which 2 numbers multiply to 36 and add up to -15?
Let the numbers be: x and y
Now, we will set up the equation with the variables and given info..
[tex]x \times y = 36 \\ x + y = - 15[/tex]
Solve using the substitution method
[tex]x \times y = 36 \\ x = - 15 - y[/tex]
[tex]( - 15 - y)\times y = 36[/tex]
[tex]y = - 12[/tex]
[tex]x = - 15 - ( - 12)[/tex]
[tex]x = - 3[/tex]
➪ Therefore, The two numbers are: -12 and -3
A cylinder has a height of 6 millimeters and a radius of 12 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
Volume of cylinder = 2712.96 mm³
Step-by-step explanation:
Radius (r) = 12 mm
Height (h) = 6 mm
π = 3.14
Volume of cylinder = πr²h
= 3.14 × (12)² × (6)
= 2712.96 mm³
Hope it helps ⚜
PLEASE HELP
Maryam is baking baklava for a party at school. Maryam needs to bake at least 144 pieces of baklava. Each pan is cut into 36 pieces, and it takes her an hour to bake each pan. How many hours will Maryam need to bake to make enough baklava?
in 2010, haiti was hit by a devastating earthquake, which registered at 7.0
Answer:Richter scale measures intensity of earthquake as power of 10. The intensity of the Chilean earthquake( year 1960) was approx 316.23 times greater than the earthquake in Haiti (year 2010)How to measure the greatness of earthquakes from Richter scale's intensities?Suppose that the first measured earthquake was of intensity (on Richter scale)Suppose the second measured earthquake was of intensity(on Richter scale).It is a fact that each unit of the the Richter scale measurement increases as the power of 10.So if b = a + 1, then the second earthquake was 10 times greater than the first earthquake.If we have b = a + x, then we have:Second earthquake was times greater than the first earthquake.As it was given that the earthquake in Haiti was of 7.0 intensity on Richter scale, and that the Chilean earthquake was about 9.5 intensity on Richter scaleThe difference is 9.5 - 7 = 2.5
Step-by-step explanation:
Find the slope of the line passing through the points, −3, −8, and, 5,6.
Answer:
Slope is (7/4)
Step-by-step explanation:
Let's use the point-slope format of a straight line equation:
y − y1 = m(x − x1)
(x, y) is (-3,-8)
(x1, y1) is (5,6)
y − y1 = m(x − x1)
-8 − (6) = m(-3 − 5)
-14 = m(-8)
m = (14/8 or (7/4)
The slope is (7/4)
b can be calculated by enter on e of the points in y = (7/4)x+ b and solve for b:
y = (7/4)x+ b
6 = (7/4)5+ b
6 = 35/4 + b
b = -2.75
See attached image.
What is an equation of the line that passes through the points (5,-3) and
(-3, -3)?
Answer:
y=-3
Step-by-step explanation:
First, you want the slope.
The slope is
[tex]\frac{-3-(-3)}{-3 - 5} = \frac{0}{-8}\\[/tex]
0/-8 = 0, so the line is horizontal.
the y-intercept must be -3 because it never changes.
So the equation must be
y=-3
Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{-3+3}{-3-5}=0[/tex]
Equation of line in point slope form
[tex]\\ \rm\hookrightarrow y+3=0(x-5)[/tex]
[tex]\\ \rm\hookrightarrow y+3=0[/tex]
[tex]\\ \rm\hookrightarrow y=-3[/tex]
After the party there was 2/3 of a tray of cookies left. The next day Jesse divided the tray of cookies evenly between him and his 3 friends. What fraction of the tray of cookies did each person get?
Answer : 2/9
◊ YusuCr ◊
Hope This Helps. :)
YALL I NEED HELP, x+y=300 and 12x+15y=4,140.
LIKE WTH IS THIS
whats the solution of
y = x +2
2x - 5y = 2
Answer:
x = -4, y = -2
Step-by-step explanation:
substitute for y
2x - 5(x + 2) = 2
distribute -5
2x -5x - 10 = 2
solve
-3x - 10 = 2
add 10 on both sides
-3x = 12
divide by -3
x = -4
now substitute for x in the equation y = x + 2
y = -4 + 2
y = -2