Answer:
86.5 inches
Step-by-step explanation:
6228 / 72 = 86.5
In a solid cube made up of smaller black and white cubes. The black and white cubes are at alternate places of the larger cube. How many black cubes are there in the above arrangement?
There are 168 black cubes in the arranagement.
A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.
To get the number of black cubes in the arrangement, we will use the equation below;
Number of black cubes = Total number of black cubes on a face * number of small cubes along the edgeNumber of black cubes = 24 * 7Number of black cubes = 168Hence there are 168 black cubes in the arrangement.
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help please I'm stuck on this question
Answer:
120 yd²
Step-by-step explanation:
The floor consists of a square and a triangle
area of square = 10² = 100 yd²
area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4 and h = 10 , then
area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²
company needs 100 + 20 = 120 yd²
If x is directly propotional to y
Given that x=8 and y=2
find x=4.
Answer:
1
Step-by-step explanation:
Using similarity
8/4 = 2/y
2 = 2/y
2y = 2
y = 2/2
y = 1
henley needs to calculate the base of a trapezoid, b, given the area, a, in inches. She need to rearrange the formula a=16(b+4). Solve the formula for b in terms of a
Answer:
b = (a/16) - 4
Step-by-step explanation:
a = 16(b + 4)
a = 16b + 64
16b + 64 = a
16b = a - 64
16b/16 = (a/16) - 64/16
b = (a/16) - 4
Answer:
b = a/16 - 4.
Step-by-step explanation:
a=16(b+4)
b+4 = a/16
b = a/16 - 4.
if a= { } b= {1,2} then n(a×b) is
Answer:
A={a,b,c}
B={1,2}
A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)
GIVING BRAINLIEST please its due in 10 min and please show work
Samantha invests a total of $18,000 in two accounts. The first account earned an annual interest rate of 11% and the second account earned an annual interest of 7%. At the end of one year, the total amount of money gained was $1,680.00. How much was invested into each account?
$ was invested in the account that earned 11% and
$ was invested in the account that earned 7%.
Answer:
Step-by-step explanation:
X + Y = 28500 (Equation 1).
1.11X + .9Y = 29010 (Equation 2).
Which condition in the figure below will prove l || m?
Answer:
m<2 + m<3 = 180°
Step-by-step explanation:
Lines intersected by a transversal are parallel if same-side interior angles are supplementary.
Answer: m<2 + m<3 = 180°
A car travels 470.7 kilometers on 52.3 liters of gas. How much gas will it need to go 345.6 kilometers?
Answer:
38.4[litres].
Step-by-step explanation:
[tex]1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};[/tex]
[tex]2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].[/tex]
a store is handing out scratch-off cards to its customers .for each card a customer wins either a coupon or a free t-shirt .the ratio of coupon cards to t-shrits is 9:2 .the total of 8,250 cards how many of the cards are t-shirts cards
Step-by-step explanation:
Ratio 9:2, therefore total number of shares is 11.
because 9+2 = 11
total cards = 8,250
8,250/11 = 750
This is the value for one of the shares.
As the ratio is 9:2 we can find:
9 X 750 : 2 X 750
To see what everyone has won.
T-shirts : 2 X 750 = 1,500.
Hope you understand how it's done, if not leave a comment and I'll try to be more thorough
A water cooler holds 1536 ounces of water each water bottle holds 16 ounces how many water bottles can be filled from the water cooler
Answer:
96 water bottles
Step-by-step explanation:
1536/16 = 96
at what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months
Answer:
0.05 or 5%
Step-by-step explanation:
The formula for simple interest is as follows:
A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have
5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years
5610 = 4400(1+5.5r)
expand
5610 = 4400 + 24200r
subtract 4400 from both sides to isolate the variable and its coefficient
1210 = 24200r
divide both sides by 24200 to isolate the variable
r = 0.05 or 5% as 0.05 * 100 = 5
Solve each system of linear equations by elimination.
X-6y=7
-x+6y= -7 -
Answer:
Infinitely many solutions.
Step-by-step explanation:
x-6y=7
-x+6y=-7
--------------
0=0
infinitely many solutions.
PLEASE HELP ME NOWWWWWWWWWW
Answer:
36 And 59
Step-by-step explanation:
What property does this question use 3(x+6)-2=28
Answer: Properties of Multiplication. You can use the properties of multiplication to evaluate expressions. Commutative Property. Changing the order of factors does not change their product. Example: a x b = b x a. 4 x 20 = 20 x 4. Associative Property. Changing the grouping of factors does not change their product.
help ASAP please again and again
Answer:
14
Step-by-step explanation:
someone please help me
Answer:
m = 5
Step-by-step explanation:
Since the triangles are similar in the way shown, then
6/10 = 3/m
6m = 10 × 3
m = 5
Given pr // st. pr = 7 cm. ts = 3cm tq = 5cm what the length of pt
The question is an illustration of parallel lines, and equivalent ratios
The length of pt is 11.7 cm
Given that:
[tex]pr = 7cm[/tex]
[tex]ts =3cm[/tex]
[tex]tq = 5cm[/tex]
This means that:
[tex]pr : ts = pt : tq[/tex]
Substitute values for pr, ts and tq
[tex]7cm : 3cm =pt : 5cm[/tex]
Express the ratios as fractions
[tex]\frac{7cm }{ 3cm }= \frac{pt}{5cm }[/tex]
Cancel out the common units
[tex]\frac{7}{ 3}= \frac{pt}{5cm }[/tex]
Cross multiply
[tex]3pt = 35cm[/tex]
Divide both sides by 3
[tex]pt = 11.7cm[/tex]
Hence, the length of pt is 11.7 cm
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Find the slope of the line that passes through the pair of points (-17, – 8) and (0, – 5)
Answer:
-13/-17
Step-by-step explanation:
y1-y2/x1-x2=-13/-17
I need help i don't understand/
Answer:
1. A
2. C
Step-by-step explanation:
If they are corresponding, so their angle measures are the same. Hope this helps. :)
Answer:
1) 1 and 6
2) 110. these are corresponding angles so they are congruent
Step-by-step explanation:
Arrange in descending order: 101.121, 111.101, 101.112, 110.111
Answer:
111.101, 110.111, 101.121, 101.112
Step-by-step explanation:
Descending order means values starting with big ones and ending with the small ones.
So, in this case,
111.101, 110.111, 101.121, 101.112Hope it helps :)
What two numbers multiplied together equal 8 but when added together equal -6
Answer:
i believe its -4 and -2
Step-by-step explanation:
hope tha work
A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
Please answer ASAP. Will give brainliest.
Graph the following.
[tex] \:1)3x + 6 \leqslant 0 \\ 2)2x - y < 1 \\ \: \: \: \: \: \: \: \: 3)x + 2y + 2 \geqslant 0 \\ 4)x - 2y > 3[/tex]
1. x≤-2
2. I am not able to upload the graph
3. y≥0.5 x-1
4. y<0.5 x-3/2
Select the correct answer from each drop-down menu.
Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.
Answer:
Not Similar because they don't have equivalent angles.
Step-by-step explanation:
First one is D
Second one is A
The Triangle XYZ is Congruent to PQR by ASA congruence, the Triangle XYZ is Congruent to MNO by SSS congruence, the Triangle XYZ is Congruent to STU by SAS congruence
What is a Triangle?A triangle is a polygon with three sides, they are classified as acute angle triangle, right angle triangle, obtuse angle triangle on the basis of angles subtended by the vertices.
The triangles PQR, MNO, XYZ, STU can be seen in the figure
Triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.
The Triangle XYZ is Congruent to PQR by ASA congruence
From the image
XY = PQ
∠YXZ= ∠QPR
∠YZX = ∠PQR
The Triangle XYZ is Congruent to MNO by SSS congruence
From the image
XY= MN
YZ=ON
ZX=OM
The Triangle XYZ is Congruent to STU by SAS congruence
XY = ST
∠YXZ=∠TSU
XZ= SU
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to convert 25 hours to minutes would you use the ratio 1/60
Answer:
Yes
Step-by-step explanation:
1 hour = 60 min
25 hours = 60 x 25 min
Kate and Elena were playing a card game. The stack of cards in the middle had 25 cards in it to begin with. Kate added 5 cards to the stack. Elena then took 8 cards from the stack. Finally, Kate took 7 cards from the stack. How many cards were left in the stack?
Answer:
15
Step-by-step explanation:
step 1: 25+5=30
step 2: 30-8=22
step 3:22-7=15
what is the slope of the line?
Answer:
-8/3
Step-by-step explanation:
rise/run
rise: -8
run: 3
-8/3
Consider the function g(x) shown below over a domain of [1,∞).
g(x) = 2(x – 1)2 – 3
Part A
Determine g–1(x).
Part B
Identify the domain and range of g(x) and g–1(x). Represent the domains and ranges in inequality, interval, and set notation. Describe the relationship between the domains and ranges of g(x) and g–1(x).
Part C
Graph g(x) and g–1(x). Describe the relationship between the graphs of g(x) and g–1(x).
The inverse of a function may or may not be a function
The function g(x) is given as:
[tex]g(x) = 2(x - 1)^2 - 3[/tex]
(a) Inverse function g^-1(x)
We have:
[tex]g(x) = 2(x - 1)^2 - 3[/tex]
Replace g(x) with y
[tex]y = 2(x - 1)^2 - 3[/tex]
Swap the positions of x and y
[tex]x = 2(y - 1)^2 - 3[/tex]
Add 3 to both sides
[tex]x + 3 = 2(y - 1)^2[/tex]
Divide both sides by 2
[tex]\frac{x + 3}2 = (y - 1)^2[/tex]
Take square roots of both sides
[tex]\sqrt{\frac{x + 3}2} = y - 1[/tex]
Add 1 to both sides
[tex]1 + \sqrt{\frac{x + 3}2} = y[/tex]
Rewrite as:
[tex]y = 1 + \sqrt{\frac{x + 3}2}[/tex]
Express as inverse function of g
[tex]g^{-1}(x) = 1 + \sqrt{\frac{x + 3}2}[/tex]
Hence, the inverse function of g is [tex]g^{-1}(x) = 1 + \sqrt{\frac{x + 3}2}[/tex]
(b) The domain, and the range of g(x) and g^-1(x)
Function g(x)
The function g(x) is a quadratic function.
So, the domain is:
Inequality: [tex]-\infty < x < \infty[/tex]Interval: [tex](-\infty ,\infty)[/tex]Set: {R}The range is:
Inequality: [tex]f(x) \ge -3[/tex]Interval: [tex][-3 ,\infty)[/tex]Set: [tex]\{y|y\ge -3\}[/tex]Function g^-1(x)
The function g^-1(x) is a square root function.
So, the domain is:
Inequality: [tex]x \ge -3[/tex]Interval: [tex][-3 ,\infty)[/tex]Set: [tex]\{x|x\ge -3\}[/tex]The range is:
Inequality: [tex]-\infty < y < \infty[/tex]Interval: [tex](-\infty ,\infty)[/tex]Set: {R}The domain of g(x) is the range of g^-1(x), while the range of g(x) is the domain of g^-1(x).
(c) The graph
See attachment for the graph
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I need help with this math problem. .
Answer:the answer is a
Step-by-step explanation:
X = 8 find the slope
Answer:
the slope is 8
Step-by-step explanation:
since , x = 8 is a vertical line ,so the slope is undefined