Answer:
The mass of the piece of granite with volume of 75 cm^3 is 202.5 grams.
Step-by-step explanation:
Let
m = the mass of a piece of granite whose volume is: 40 + 35 = 75 cm^3 (greater by 35 cm^3)
Since Density = Mass / Volume and we are talking about pieces of the same material (same density) we can write:
m/75 = 108/40
m = 202.5 g
$834 at 7.25% for 1 1/2years
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
8 dogs so 5*8= 40
so it's D
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
Plz help!!!!!!!!!!!!!!!!
Answer:
b) 95
Step-by-step explanation:
equation:
3 x 30 + 5
solve:
3 x 30 + 5 = 95
Set up the proportion and find AB. Show all work and box your answer
Find the length of the marsh, AB
HELP PLZZZZ!!!
Answer:
x = 129
Step-by-step explanation:
86/48 = x/72
6192 = 48x
x = 129
Someone help plsss im newww tysm if you do!
Answer:
-36/6 is equal to -6
The first step is to divide -36/6 by the denominator, 6.
-36/6 ÷ 6 = -6/1 or -6
please help me out!! 20 points :))
Answer:
x =18 , z =77
Step-by-step explanation:
Vertically Opposite Angles,
[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]
Since angle x and angle 7x-23 lies on the same straight line,
[tex]z + 7x - 23 = 180[/tex]
Substitute x = 18 into the equation,
[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]
What is the radius of a 0.8cm circle
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
What is the final amount of 777 is decreased by 12% followed by a 4% increase? Give your answer rounded to 2dp.
Answer:
711.11
Step-by-step explanation:
Method 1If 777 is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally
0.88 x 777 = 683.76
683.76 is increased by 4%. 683.76 would now be (100 + 4%) 104% of what it originally was
683.76 x 1.04 = 711.11
Method 212% x 777 =
0.12 x 777 = 93.24
777 - 93.24 = 683.76
4% x 683.76 = 27.3504
683.76 + 27.3504 = 711.11
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh?
A 0.003 kilograms0.003 kilograms
B 64.468 kilograms64.468 kilograms
C 312.77 kilograms 312.77 kilograms
D 644.68 kilograms
Answer:
C 312.77 kilograms 312.77 kilograms
Step-by-step explanation:
Gary's supply box contains 5 pencils, 6 pens, 3 glue sticks and 1 marker.
Gary reaches into the box and randomly selects 1 item. He replaces it and
the randomly selects another item. What is the probability that Gary
selects a glue stick both times? *
01/25
1/30
O 1/18
O 3/4
Plz help me
Answer:
1/25
Step-by-step explanation:
You have to add all of the supplies.
5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies
Put 3 over 15, since fractions are part over whole.
Now you have to simplify 3/15, which is 1/5.
Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.
plzzz help me i could really use it!!!!
Step-by-step explanation:
here's your solution
=> (x^2 - 7) (x^2 - 4)
=> x^2(x^2 - 4) - 7(x^2 - 4)
=> x^4 - 4x^2 - 7x^2 + 28
=> x^4 - 11x^2 + 28
hope it helps
pls hurry will give brainlyest or whatever !!!
If x = 10 and y = 3 Evaluate this expression: x + xy -2(x-y)
20
30
42
36
26
Answer:
26
Step-by-step explanation:
10+(10x3)-2(10-3)=
10+30+-2(7)=
40-14=
26
Megan has $500 in her savings account. The interest rate is 7%, which is not
compounded. How much money(in dollars) will she have in her account after 5
years? Write the correct answer.
Answer:
500/7=intrest rate/account savings=_________
Step-by-step explanation:
An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)
Answer:
45°
Step-by-step explanation:
90 + 2(45) = 180
90 + 2(25) ≠ 180
90 + 2(80) ≠ 180
90 + 2(90) ≠ 180
Chris spent half his money on a pair of headphones. Then spent half of his remaining money on CDs. Finally, he spent his remaining $12.00 on a book. How much money did Chris have to begin with
Answer:50.50
Step-by-step explanation:
If PR = 5x – 3 and QS = 3x – 5 and QS == PR, what are the length of the
diagonals?
Answer:
Step-by-step explanation:
5x - 3 = 2(3x - 5)
5x - 3 = 6x - 10
6x - 5x = 10 - 3
x = 7
QS = 3(7) - 5 = 16 units
PR = 5 × 7 - 3 = 32 units
Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
I'm begging you. Please help me. Its 12:23 at night and these are the last problems. I am BEGGING you. PLEASE don't steal these points, or put in a fake link.
Identify the range of the function shown in the graph.
Answer:
-3 < x < 3
Step-by-step explanation:
2020-2021-T-Math-Gr05-T10
Question: 1-5
Lia cut a long piece of string into 2 pieces. one piece of the string is 24 inches long, and the other place of the string is 12 inches long How many feet long was the piece of string before a cut it?
Answer:
36 inches.
Step-by-step explanation:
If one piece of string is 12 inches
and the second piece = 24 inches
Then the total is 12 + 24 = 36 inches.
help!
asap!
50 pts and brainliest!
tyy
Answer:
B
Step-by-step explanation:
Find the area of the shaded polygons
PLS HELP ASAP!!
Answer:
4.5
Step-by-step explanation:
I do RSM
HELP ASAPP!!!! PLZZZ
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4
Carmen bought 15 pounds of sugar for $9.
How many pounds of sugar did she get per dollar?
(round to the nearest hundredth)
A furniture store sell kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation: 6(x + 18) 192. What does the variable represent in Jarred's equation? * O The number of screws in one kit O The number of screws in all 6 kits O The number of boards in one kit? The number of boards in all 6 kits?
the number of boards in all 6 kits
✔✔
On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5). Which statement proves that quadrilateral JKLM is a kite?
Answer:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
Step-by-step explanation:
Given
[tex]J = (4,5)[/tex]
[tex]K = (5,1)[/tex]
[tex]L = (1,2)[/tex]
[tex]M = (1,5)[/tex]
Required
Prove it's a kite
Start by calculating the length of the sides of the kite using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}[/tex]
[tex]JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}[/tex]
[tex]KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3[/tex]
[tex]MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3[/tex]
Hence:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
proves that it is a kite
Answer:
B) LM = JM = 3 and JK = LK = [tex]\sqrt{17}[/tex]
Step-by-step explanation:
Edge 2021
Good Luck :)
You deposit $5000 in an account earning 7.5% simple interest per year. How long will it take for the balance of the account to be $6500?
Answer:
4 years
Step-by-step explanation:
Given data
Principal P=$5000
Rate r= 7.5%
Final amount A=$6500
The expression for the simple interest is
A=P(1+rt)
Substitute
6500=5000(1+0.075*t)
6500=5000+375t
6500-5000=375t
1500=375t
t= 1500/375
t= 4 years
Hence, the time is 4 years