Answer:
Smaller number = 15
Larger number = 29
Step-by-step explanation:
Let smaller number be S
Let larger number be L
Given :
Sum = 44. That is , S + L = 44
Smaller number is 14 less than larger number. That is , S = L - 14
Therefore the equations are :
S + L = 44 ------(1)
S = L - 14 ------(2)
Substitute (2) in ( 1 )
(L - 14 ) + L = 44
L - 14 + L = 44
2 L = 44 + 14
2 L = 58
L = 29
Substitute L in (1) : S = L - 14 = 29 - 14 = 15
Answer:
Larger Number: 29
Smaller Number: 15
Step-by-step explanation:
By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:
L+S = 44
L-14 = S
By substituting S = L-14 into the first equation, we get:
L+L-14 = 44 (add 14 to both sides)
L+L = 58 ( divide by 2 as L+L becomes 2L)
L=29
When L= 29, S= 29-14 which is 15
Please help
Calculate the volume of the given figure. Use 3.14 for ™.
3 ft
The volume of the solid figure shown in the drawing is approximately (Round to two decimal places as needed.)
Answer:
Step-by-step explanation:
Vol of a cylinder = pi * r^2 h
Vol of cone = 1/3 pi r^2 h
cylinder = pi * (1)^2 * (3) = 3 pi
cone = 1/3 pi (1^2) 4 = 4/3 pi
total = 3 pi + 4/3 pi
= pi(3+ 4/3) = pi(4.333)
= 13.6 f^3
Identify the solid figure below.
rectangular prism
triangular prism
rectangular pyramid
triangular pyramid
Answer:
triangular prism
Step-by-step explanation:
triangular prism is a prism in the shape of a triangle at 2 opposing faces
Answer:
that is a triangular prism
Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b.
Answer:
c
Step-by-step explanation:
In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.
Answer:
1/4
Step-by-step explanation:
Add the three amounts:
25 ml + 30 ml + 45 ml = 100 ml
These three amounts make 100 ml of fruit cocktail.
The amount of orange juice is 25 ml.
The fraction of orange juice is
(25 ml)/(100 ml) = 25/100 = 1/4
Answer: 1/4
What is the perimeter of the rectangle above
A.16 cm
B.12 cm
C.20 cm
D.24 cm
Answer:
D. 24 cm
Step-by-step explanation:
perimeter = 8+8+4+4 = 24
A pizza shop has 6 kinds of cheese, and 13 different toppings. How many ways are there for a customer to select a pizza with 2 cheeses and 4 toppings?
Answer:
10725
Step-by-step explanation:
C [tex]\frac{2}{c}[/tex] [tex].[/tex] C [tex]\frac{4}{13}[/tex] = [tex]\frac{6x5}{2}[/tex] ° [tex]\frac{13x12x11x10}{4x3x2x1}[/tex]
= 10725
How do you solve for x in this using trignometric ratios
Answer:
[tex]x= 23.775.[/tex]
Step-by-step explanation:
[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]
What is the volume of a triangular pyramid if the base area is 125 square feet and the height is 15 feet
Answer:
625 cubic feet
Step-by-step explanation:
Given data
Base area= 125 square feet
Height = 15feet
The expression for the volume of a pyramid is given as
V= a^2*h/3
but a^2= 125 square feet
V= 125*15/3
V= 1875/3
V=625 cubic feet
A window cleaning service charges under $75 to clean all of the windows of a house. Write an inequality to represent the amount charged.
Answer:
C < $75.
Step-by-step explanation:
Let C be the charge of a window cleaning service, that cleans all the windows of the house.
Since it charges less than $75. this means
C < $75.
So, this is the required inequality equation.
in the equation 50=2y-5y^2 what is the value of c
Answer:
No solution because there is no c variable
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
What's the probability of randomly selecting an odd number from the numbers 1-10?
Answer:
There is a 50% chance of getting a odd number.
Step-by-step explanation:
1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.
5/10 = 0.5 = 50%
5 out of 10
12 Here are two equations.
y = 5x - 9 and x + y = 7
a Use this graph to find an
approximate solution of
the equations.
b Use algebra to find exact
solutions of the equations,
Helpppp
Answer:x=8/3 ; y=13/3
Step-by-step explanation: to find the intersection point or the solution of the graph, you need to equate these equations 1) y=5x-9 2) x+y=7 => y=7-x x equating the equations 5x-9=7-x => 6x=16 => x=8/3 ; y=13/3
Evaluate 9t when t=5.
ITS NOT 95 already tryed that
Answer:
45
Step-by-step explanation:
9x5=45
Answer:
45
Step-by-step explanation:
9t
substitute 5 for t
9(5)
9(5) is the same as 9 * 5
9 * 5 = 45
so when t = 5 the output is 45
Need help ASAP please
Answer:
17.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 73 = x /18
18 sin 73 =x
17.21348561 =x
To the nearest tenth
17.2 =x
https://gyazo.com/24fac9fdbb9e01e022cb75d2e76d4949
Answer:
What
Step-by-step explanation:
IS THAT
PLZ ANSWER ASAP 100 POINTS AND BRAINLIEST PLZ PLZ HELP
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answer:
Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Step-by-step explanation:
A parallelogram have opposite sides parallel and congruent
the given quadrilateral is a parallelogram then
10 = x + 2 Equation A
x + 5 = 2x - 3 Equation B
Solving for Equation A:
x = 10 -2 = 8 inches
Solving for Equation B;
2x - x = 5 + 3
x = 8 inches
Value X are the same equations.
Means that
For x=8 inches opposite side
So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
The Royal Flush, a plumbing service, charges $65 for a service call (just to come to the house) plus $30 per hour to do the repair job. The Leaky Faucet, another plurbing service, charges $35 for a service call plus $45 per hour to do the repair job. How many hours would a job have to take for the bills of both repair services to be the same?
Answer:
Two hours
Step-by-step explanation:
The Royal Flush:
$65 + $30(per hour) = $95(for one hour)
$95 + $30 = $125(for two hours
The Leaky Faucet:
$35 + $45(per hour) = $80(for one hour)
$80 + $45 = $125(for two hours)
Therefore, it would take two hours for both of the repair services to have the same total.
The window of the school bus need to be washed by the end of the day. Mr.Casey washes 1/3 of the 33 before lunch. If Mr.Casey washes 8 of the remaining windows after lunch, how many windows still need to be washed by the end of the day? A 11 windows B 14 windows C 19 windows D 25 windows
Answer:
14 windows is the answer
Step-by-step explanation:
windows washed before lunch = 1/3 of total windows
= 1/3 * 33
= 11 windows
windows washed after lunch = 8
windows remaining = total - washed before lunch - washed after lunch
remaining = 33 - 11 - 8
= 33 - 19
= 14 windows
what is the degree of the polynomial?
Answer:
D. 2
Step-by-step explanation:
The degree is the biggest exponent. In this case, it is 2.
Answer:
2
Step-by-step explanation:
The highest exponent is 2
therefor this is a 2nd degree polynomial
What is the value of s in the equation 3r=10+5s , when r=10 ?
4
8
100
200
Answer:
4
Step-by-step explanation:
when r = 10
3r = 10 + 5s
3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 10 + 5s -10
20 = 5s
20/5 = 5s/5
4 = s
I need help understanding how to answer this question:
List the sides in order from the smallest to the largest.
Help me find B asap!
Answer:
11)
complimentary angle
b = 90 - 65
b = 25º
12)
supplementary angle
b = 180 - 117
b = 63º
13)
360º in a circle
b = 360 - 244 -23
b = 93º
14)
vertical angle
b = 46º
Hệ phương trình
1/x + 1/y = 5/24
4/x + 3/y = 3/4
Step-by-step explanation:
hear is your with steps please check
The answers are
A.9
B.25
C.18
D.15
PLEASE HELPPPP
Answer:
9
Step-by-step explanation:
Because I don't know but I think I'm correct.
If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?
the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight
ANSWER QUICK PLEASE!!!
Hope this helps!!!
Have a great day!!!
The volume will increase by a factor of eight.
What is Volume of Cylinder?
The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.
Volume of Cylinder = πr²h
Put, r = 2R, h = 2H
New volume of Cylinder = π (2R)².2H
= π.4R².2H
= 8πR²H
= 8V
Thus, the volume will increase by a factor of eight.
Learn more about volume of cylinder from:
https://brainly.com/question/16788902
#SPJ2
You pick a card at random. Without putting the first card back, you pick a second card at
random.
5 6 7 8
9
What is the probability of picking a 5 and then picking a prime number?
Simplify your answer and write it as a fraction or whole number.
Answer:
5 prime to6
Step-by-step explanation:
pick all the nubers
A box of popsicles contains 3 cherry, 3 grape and 4 orange. What is the probability of randomly choosing orange
Answer:
40% chance
Step-by-step explanation:
4/10=40%
how many edges does a rectangular have
Find mean, median, mode, range
Answer:
Mean= 44.2
Median=45
Mode=6
Range=50
Step-by-step explanation:
Mean= (10x1 +30x2 + 40x3 +50x2 +60x4)/12
= 530/12
=44.17
=44.2
Median= 40+50 /2
=45
Mode= 6
Range= 60-10
=50
What is the value of b in the equation below?
9^-6 . 9^-2= a^b
A. -10, B. -6, C. 9, D. 16
Answer:
-10
Step-by-step explanation: