Answer:[tex]9.33\ cm^3[/tex]
Step-by-step explanation:
Given
The dimension of the prism is
Length [tex]l=\frac{8}{5}\ cm[/tex]
width [tex]w=\frac{10}{3}\ cm[/tex]
height [tex]h=\frac{7}{4}\ cm[/tex]
The volume of Prism is [tex]V=l\times w\times h[/tex]
Putting values
[tex]\Rightarrow V=\dfrac{8}{5}\times \dfrac{10}{3}\times \dfrac{7}{4}=\dfrac{560}{60}=9.33\ cm^3[/tex]
h−6 ≤−8.4
hope you have a good day stay safe
Answer:
h ≤ -12/5
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "8.4" was replaced by "(84/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :
h-6-(-(84/10))≤0
Step by step solution :
STEP
1
:
42
Simplify ——
5
Equation at the end of step
1
:
42
(h - 6) - (0 - ——) ≤ 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
h - 6 (h - 6) • 5
h - 6 = ————— = ———————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(h-6) • 5 - (-42) 5h + 12
————————————————— = ———————
5 5
Equation at the end of step
2
:
5h + 12
——————— ≤ 0
5
STEP
3
:
3.1 Multiply both sides by 5
3.2 Divide both sides by 5
h+(12/5) ≤ 0
Solve Basic Inequality :
3.3 Subtract 12/5 from both sides
h ≤ -12/5
Inequality Plot :
3.4 Inequality plot for
h + 2.400 ≤ 0
The value of h is less than or equal to -2.4.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
h−6 ≤−8.4
Now, add both side 6
h−6 + 6 ≤−8.4 + 6
h ≤−2.4
Hence, the value of h is less than or equal to -2.4
Learn more about inequality here:
https://brainly.com/question/28823603
#SPJ2
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
If x=2,find the value of x²+1/x²
Answer:
17/4 or 4 1/4
Step-by-step explanation:
Substitute x = 2 into the expression x² + 1/x².
(2)² + 1/(2)²Evaluate the exponents in the expression.
(4) + 1/(4) 4 + 1/4Multiply 4 by 4/4 to get a common denominator of 4.
16/4 + 1/4Add the numerators together.
17/4The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.
Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose
Answer:
3
Step-by-step explanation:
-3(d + -2) + -4 = 5
solve for d
Answer:
d=−1
Step-by-step explanation:
−3(d−2)−4=5
Step 1: Simplify both sides of the equation.
−3(d−2)−4=5
(−3)(d)+(−3)(−2)+−4=5(Distribute)
−3d+6+−4=5
(−3d)+(6+−4)=5(Combine Like Terms)
−3d+2=5
−3d+2=5
Step 2: Subtract 2 from both sides.
−3d+2−2=5−2
−3d=3
Step 3: Divide both sides by -3.
−3d
−3
=
3
−3
d=−1
[tex]-3(d+(-2))+(-4)=5[/tex]
[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]
What is the slope of this line? Please answer quick
Answer:
the slope is 2
Step-by-step explanation: the slope is the rise over run
The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.
Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?
Answer:
profit as a percentage= 21.74%
Step-by-step explanation:
Giving the following information:
Purchase price= $180,000
Selling price= $230,000
To calculate the profit as a percentage, we need to use the following formula:
profit as a percentage= (profit/selling price)*100
profit as a percentage= 50,000/230,000*100
profit as a percentage= 21.74%
R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1
Answer:
R=x = R= −2 =x =6 =R =x =− 3=
Step-by-step explanation:
Somebody help me plzz
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60
is this the area of a this
pls help and explain
Answer:
Step-by-step explanation:
so first what you want to do is split the shape in to
Draw a line down where the 2 is.
you should have a rectangle and a triangle
then you find the area of the rectangle
Rectangle:
5 x 2 = 10m^2
After than you try to find the triangles area
the bottom of the triangle is 9m but since to split it in 2 you will now have 7m
multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2
Add your two areas together and you will get 27.5m^2
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.
Answer:
3y=x-12
y=x/3-4
m=1/3
At (18,2)
y-2=1/3(x-18)
y-2=x/3 - 6
y=x/3 - 4
How can I tell if a system of equations has one, no, or infinitely many solutions?
Answer:
There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.
If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.Can u help me with my work pls
Answer:
The mountain is 8.
The map is 96.
The compass is 6.
The hiker is 54.
The train is 14.
The a corn is 26
Hope this helps.
= Knowledge Check
Question 3
Estimate 10,859 +5,058 +8,570 by first rounding each number to the nearest thousand.
Х
?
Answer:
25,000
Step-by-step explanation:
okay so round up each number by there thousands place before you had them so 10,859 goes up to 11,000, 5,058 goes down to 5,000, and 8,570 tounds up to 9,000 add 11,000+5,000+9,000=25,000 hope this is helpful
A cube has a total surface area of 150 inches squared. Considering every side length is
congruent, and every face equivalent on a cube, what is the side length?
Answer:25.0
Step-by-step explanation: 5.0 times 5.0
HELP ASAPPPPP NO WRONG ANSWER PLS
Answer:
40
Step-by-step explanation:
one cubic cm would be 2x2x2=8 half cm³
you have 1x2x2.5 cm cube = 5 cm³
5 x 8 = 40
another way to look at it:
2 1/2 = 5 half-cubes long
2 = 4 half cubes wide
1 = 2 half cubes tall
5 x 4 x 2 = 40
Hey !! Can someone please help me with this??
Answer:
[tex]8^2[/tex] and 4 x 4 x 4
Step-by-step explanation:
4 to the third power, is the same as 4 x 4 x 4.
This is then equal to 64.
8 squared is also equal to 64, making it also an answer.
None of the other ones work.
Hope this helps and have a nice day!! :) :] :D
Work out the size of angle x.
38°
х
101
Answer:
41°
Step-by-step explanation:
the sum of the interior angles is 180 degree
so,
38 + x + 101 = 180
139 +x = 180
x = 180 - 139
x= 41°
please help, thank youu! :)
Answer:
false is the write answer you can write it
Answer:
false
Step-by-step explanation:
if u divide y÷x each time u won't get the same answer so I t wouldn't be proportional
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?
Answer:
$420
Step-by-step explanation:
Given data
GIven ratio= 2:3
The total ratio= 2+5= 7
Ann's share= $120
Let us apply the part to all approach
let the total amount be x
so for Ann
2/7= 120/x
cross multiply
2x= 120*7
2x= 840
divide both sides by 2
x= 840/2
x= 420
Hence the amount shared is $420
9
Find the missing angle.
20"
80°
100°
50
80°
70°
Answer:
80°
Step-by-step explanation:
20°+80°+missing angle=180°
missing angle=180°-100°=80°
coordinate planes
again
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).
Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
WILL GIVE BRAINLIEST
3. A store clerk sold 60 pairs of sneakers. The
high-tops sold for $98.99 and the low-tops sold for
$129.99. If the receipts for the two types of sales
totaled $6,404.40, how many of each type of sneaker
were sold?
Answer:
High top pairs- 45
Low top pairs- 15
Step-by-step explanation:
The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many times bigger than Colorado is the Indian Ocean?
Answer:
270 times
Step-by-step explanation:
The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.
Solve for :
92 + 210
48 + 140
Rep
48+140=188
92+210=302
if you at all it equals 490
what polygon is formed?
Answer:
Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.
Step-by-step explanation: