Answer:
The smaller number is: 8
The bigger number is: 20
Step-by-step explanation:
Ok let's say the two numbers are x and y.
x is the smaller one, and y is the bigger one.
This is the equation to find x:
x + 4y = 88
x + y = 28
x - x + 4y - y = 88 - 28
3y = 60
y = 20
x + 20 = 28
x = 8
10 – 2x + 3 = 5x – 9 + 4x
please help me solve this equation
Answer:
x=2
Step-by-step explanation:
Hi there!
Whenever we're solving an algebraic equation, our goal is always to isolate the variable, which in this case is x. We would do this by performing inverse operations on both sides of the equal sign to cancel values out.
[tex]10-2x + 3 = 5x-9 + 4x[/tex]
Combine like terms on both sides of the equal sign
[tex]10+ 3-2x = 5x+ 4x-9 \\13-2x = 9x-9[/tex]
Add 2x to both sides to cancel out -2x (addition is the inverse of subtraction)
[tex]13-2x +2x = 9x-9 +2x\\13 = 11x-9[/tex]
Add 9 to both sides to cancel out -9 and isolate 11x (addition is the inverse of subtraction)
[tex]13+9 = 11x-9+9\\22=11x[/tex]
Divide both sides by 11 to isolate x (division is the inverse of multiplication)[tex]\frac{22}{11} =\frac{11x}{11} \\2=x[/tex]
Therefore, x=2.
I hope this helps!
Com a entrada da Rita a classe ficou com 20 alunos a média das idades destes 20 alunos é 13,2 anos
No final da primeira semana dois alunos de 15 anos abandonaram a classe
Qual passou a ser a média
Answer:
New avaerage if 2 students (15 year old) left = 13
Step-by-step explanation:
Given:
Average age of 20 students = 13.2
Find:
New avaerage if 2 students (15 year old) left
Computtaion:
Sum of all 20 student's age = 20 x 13.2
Sum of all 20 student's age = 264
Sum of current 18 student's age = 264 - 15 - 15
Sum of current 18 student's age = 234
New avaerage if 2 students (15 year old) left = 234 / 18
New avaerage if 2 students (15 year old) left = 13
-4x+2=-13 solve for x
Answer:
x = 3.75
Step-by-step explanation:
-4x + 2 = -13
-4x = -13 - 2
-4x = -15
x = 3.75
Answer:
-13
Step-by-step explanation:
just think about it
A car travels a distance of 360 km in a time of 3 hours.
What is the car's average speed?
Answer:
convert km into m
1 km=1000m
360 km=1000*360m
=360000m
again,convert 3 hours into seconds
3 hours=60*60*3
=10800 second
average spped=total distance /time taken
=360000/10800
=33.33 m/s
Step-by-step explanation:
If an earthquake measures 10^4, what does it measure on
the Richter scale?
Answer:
The Richter scale and how it measures earthquake magnitude. The Richter scale calculates an earthquake's magnitude (size) from the amplitude of the earthquake's largest seismic wave recorded by a seismograph. ... (That is, an earthquake measuring 5.0 releases 31 times more energy than an earthquake measuring 4.0.)
What is the predicted end-of-year value of a portfolio that begins the year with $200, in stocks and $100 in bonds?
Answer:
$318
Step-by-step explanation:
Calculation to determine the predicted end-of-year value of a portfolio
Given expression 1.08s + 1.02b
Now let determine the Predicted end-of-year value
Predicted end-of-year value=1.08(200) +1.02(100)
Predicted end-of-year value=216+102
Predicted end-of-year value=$318
Therefore the predicted end-of-year value of a portfolio will be $318
help i don’t know what to do here!
Answer:
Find the are
Step-by-step explanation:
pi method
If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an item that costs 200?
Answer:
19.5 dollars
Step-by-step explanation:
9.75% of 200 is 19.5
Simplify: 10(-5x+4) A 5x + 4 B - 50x + 4 - 50x + 40 5x + 40
Answer:
-50x+40
Step-by-step explanation:
The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.
please help me
Answer:
[tex]22[/tex]
Step-by-step explanation:
Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for [tex]?[/tex]:
[tex]\frac{28}{42}=\frac{?}{33}[/tex] (divide corresponding sides)
[tex]\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}[/tex]
PLS HELP ILL MARK BRAINLIST
Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²
Find the measure of the missing angle.
A
43°
Help ASAP plz
Answer:
47
Step-by-step explanation:
The missing angle is complementary to the angle shown and together they from 90.
Your missing angle is 90 - 43
I NEED HELP PLEASE IT WOULD HELP ME ALOT
Answer:
62 degrees
Step-by-step explanation:
Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.
What is the volume of a hollow ball whose other radius is 200m and inner radius of
100m.
What is the mass if it is iron*
Answer:
The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.
Remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
where pi = 3.14
Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:
V = (4/3)*pi*( R^3 - r^3)
In this case, we have:
R = 200m
r = 100m
Then the volume of the hollow ball is:
V = (4/3)*3.14*( (200m)^3 - (100m)^3)
V = 29,306,666.67 m^3
Now, if this hollow ball is made of iron, we want to find the mass.
Remember the relation:
Mass = Density*Volume.
We know that the density of the iron is:
D = 7300 kg/m^3
Then the mass of this hollow ball is:
M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg
1.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = –x2 + x
B. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + x + 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = x2 – x + 1
D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1
Answer:
D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1
Step-by-step explanation:
A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 1 /2 , 1 /4 )
Focus:
( 1 /2 , 0 )
Axis of Symmetry:
x
=
1
2
Directrix:
y
=
1
2
x
y
− 2
− 6
− 1
− 2
1
2
1
4
1
0
2
− 2
B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( − 1 /2 , 3 /4 )
Focus:
( − 1 /2 , 1 )
Axis of Symmetry:
x
=
−
1
2
Directrix:
y
=
1
2
x
y
− 2
3
− 1
1
− 1
2
3
4
1
3
2
7
C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( 1 /2 , 3 /4 )
Focus:
( 1 /2 , 1 )
Axis of Symmetry:
x
=
1
2
Directrix:
y
=
1
2
x
y
− 2
7
− 1
3
1
2
3
4
1
1
2
3
D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( − 1 , 0 )
Focus:
( − 1 , 1 /4 )
Axis of Symmetry:
x
=
− 1
Directrix:
y
=
− 1
4
x
y
− 3
4
− 2
1
− 1
0
0
1
1
4
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65
If two line segments are congruent, which of the following must be true?
A.
They are equal.
B.
They have equal lengths.
C.
They share an endpoint.
D.
They form a right angle.
They have equal lengths is the correct answer
If you fold the number line so that the vertical crease goes through 0,the points you label would match up explain why this happens
Answer:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.
Step-by-step explanation:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line to match up with with the points on the opposite side
A rectangular prism has a length of 6 inches, a height of 7 inches, and a width of 10
inches. What is its volume, in cubic inches?
Answer:
420
Step-by-step explanation:
just multiply all the numbers together
Answer: 420 cubic inches
Step-by-step explanation:
Use the formula V = lwh to solve.
V = L * W * H
V = 6 * 7 * 10
V = 420 cubic inches
15 minutes before 5 in the morning is written as _:__a.m.
Answer:
It's
Step-by-step explanation:
4:45am. That's the correct answer
15 minutes before 5 in the morning is written as 4:45am
i need the answer to this question? thxs
Answer:
RS = 19
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
- 5x + 44 = [tex]\frac{1}{2}[/tex] (18 + 4x) ( multiply both sides by 2 to clear the fraction )
- 10x + 88 = 18 + 4x ( add 10x to both sides )
88 = 18 + 14x ( subtract 18 from both sides )
70 = 14x ( divide both sides by 14 )
5 = x
Then
RS = - 5x + 44 = - 5(5) + 44 = - 25 + 44 = 19
3h - j when h = 8 and j = 11
plzzz help
Answer:
13
Step-by-step explanation:
3h - j
3(8) - 11
24 - 11
13
Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7
Answer:
1/4¹⁰
Step-by-step explanation:
this is the the simplified version for the question
PLEASE HELP IF YOU CAN, I REALLY NEED IT! THANK YOU
The diameter of a circle is 35.7 yards. The circle's circumference is about ___ yards.
Use 3.14 for .
Answer:
I think the answer is 112.098 yards
Answer:
112 yards
It's 112.098, but the question says "about _____ yards", so I'd round it.
Step-by-step explanation:
Circumference is calculated by (2)(pi)(radius) or (pi)(diameter). We'll use the second one, since they gave you the diameter.
C = (pi)(diameter)
C = (3.14)(35.7)
C =112.098
867 runners entered a race. 276 more entered before
the race started. How many runners are in the race?
A
1,143
B
591
1,043
D
239,292
Answer:
a
Step-by-step explanation:
calculator
If you help me I give you brainlist
Step-by-step explanation:
I used Pythagoras Theorem to find the diagonal distance as placement of objects is right angles triangle.
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
a : Elm street
b : Birch street
c : Diagonal distance
c^2 = a^2 + b^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c = √289
c = 17 blocks
I added the total distance of the original route Joline took
= 15 blocks + 8 blocks
= 23 blocks
How much less distance does she have to walk if she took the diagonal route
= Total distance of original route - distance of diagonal route
= 23 - 17
= 6 blocks
Joline have to walk less 6 blocks if she took the diagonal route compared to her original route
A
N
S
W
E
R
P
L
E
A
S
E
I
L
L
G
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V
E
B
R
A
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T
Answer:
x=67
y=40
The angles equal 63 and 117
Step-by-step explanation:
88% sure
solve b=3/4 a
a+b=21
Answer:
20.25
Step-by-step explanation:
21-3/4=20.25
Answer:
Step-by-step explanation:
a+b=21
a=21-b
b=3/4*a
b=3/4*(21-b)
b=3(21-b)/4
b=63-3b/4
4*b=63-3b
4b+3b=63
7b=63
b=63/7
b=9
The figure below is a regular pentagon. If mZBAE = 5x + 3, find the value of x.
Answer:
x = 21
Step-by-step explanation:
For a pentagon, n = 5.
Each angle measures:
(n - 2)180/5 = (5 - 2)(180)/5 = 108
5x + 3 = 108
5x = 105
x = 21
Hooooooyooo I need help
Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.