Given:
A metal is made from copper, zinc and lead in the ratio 13:6:1.
The mass of zinc is 90kg.
To find:
The mass of the metal.
Solution:
It is given that the metal is made from copper, zinc and lead in the ratio 13:6:1.
Let the mass of copper, zinc and lead are 13x, 6x and 1x respectively.
The mass of zinc is 90kg. So,
[tex]6x=90[/tex]
[tex]x=\dfrac{90}{6}[/tex]
[tex]x=15[/tex]
Now, total mass of the metal is:
[tex]Total=13x+6x+1x[/tex]
[tex]Total=20x[/tex]
[tex]Total=20(15)[/tex]
[tex]Total=300[/tex]
Therefore, the mass of the metal is 300kg.
Algebra evaluate each expression if a = -3 ,b= - 4 , and c = 5
what is 1. 5bc
The boys and girls soccer clubs are fundraising for new uniforms. The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to represent the situation
Inequality 1:
Inequality 2:
Answer:
2b + 4c = 800
c > 100
Step-by-step explanation:
The two linear inequalities are 2S+4C>800
and C[tex]\geq[/tex]100
It is given that The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4.They must raise more than $800. The girls expect to sell at least 100 candles. We have to write this situation in system of linear equality
What is system of linear inequalities?
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables.
The soccer ball is denoted by S and Candles by C
Therefore 2S+4C>800 (We use > symbol for More than)
and C[tex]\geq[/tex]100
To learn more about linear inequalities:
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find hcf and LCM of 40 ,60 and 80
hear here is your answer in attachment attach
Answer:
Step-by-step explanation:
40 = 2*2*2*5
60 = 2 * 2 * 3 * 5
80= 2 * 2 * 2 * 2 * 5
LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240
HCF = 2*2*5= 20
Write as an equation: When -2 is subtracted from w, the result is 49
Step-by-step explanation:
w-(-2)=49
or, w+2=49
or, w= 47
which is the required equation.
Answer:
[tex]{ \bf{w - ( - 2) = 49}} \\ \\ { \boxed{ \tt{w + 2 = 49}}}[/tex]
Pls help this is due soon!!!
calculate (2.8+1.36)÷(4-2.7)
The answer is 3.2
Hope this answer is right!
The polygons are similar, but not necessarily drawn to scale.
10 points!
If you are going to answer, actually answer!
Answer:
1/27
Explanation:-
(1/3)^3=(1x1x1)/(3x3x3)=1/27
Answer:
0.03703703703 or
²/27
sorry i am late but still hope I helped
Step-by-step explanation:
Identify the slope and y-intercept for the line y = -2x -3.
Answer:
The slope is -2 and the y intercept is -3
Step-by-step explanation:
y = -2x -3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is -3
Under any given transformation, an image is an original image while the pre-image is the new image.
A. True
B. False
Answer:
This has some fact to it. Its sorta tricky but I'd say False.
Step-by-step explanation:
Find the perimeter & area of the following shape.Hint: Look to the opposite sides to figure out the missing sides.
Answer:
Perimeter=110mm
Area=370mm²
Step-by-step explanation:
In Attached pictures
please give me brainliest if it help you
a cone with base circumference 6 pi and
a height equal to half the radius
A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.
What is the volume of a cone?The volume of the cone is the product of one-third of the height, pie, and square of the radius.
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
A cone with a base circumference of 6 pi and a height equal to half the radius.
The circumference of the circular base = 2πr
6π = 2πr
r = 3
The radius of the circular base of a cone is 3 unit.
A height equal to half the radius. Thus, the height is 1.5
The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]
= 1/3 (3.14) (9)(1.5)
= 42.39
Learn more about volume;
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How many solutions does the system have?
4x−6y=−24
2x−3y=−6
Answer:
none
Step-by-step explanation:
if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation
because x and y in line two are the same multiple of these in line one (both values are just the half)
plotted with desmoes
help me solve for m<4 and m<5 and x
Answer:
x = 18
Angle 4 = 31 degree
Angle 5 = 59 degree
Step-by-step explanation:
According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.
Angle 4 + angle 5 = 90 degree
Angle 4 = 2 x - 5
angle 5 = 4 x - 13
So, according to the question,
2 x - 5 + 4 x - 13 = 90
6 x - 18 = 90
6 x = 108
x = 18
So, angle 4 = 2 (18) - 5 = 31 degree
So, angle 5 = 4 (18) - 13 = 59 degree
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines
Answer:[tex]5x+3y+1=0[/tex]
Step-by-step explanation:
Given
The linear equation is [tex]5x+3y-9=0[/tex]
The other linear equation parallel to the given line can be represented by
[tex]5x+3y+c=0[/tex]
Here, c can take any value . for example c=1, line becomes
[tex]\Rightarrow 5x+3y+1=0[/tex]
Please help quickly :D
Hope this help!!!
Have a nice day!!!
✨Please help me :) ✨
Answer:
Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.
Step-by-step explanation:
What do we know:
He has $140 to start withHe saves $25 each weekHis bike costs $290What are we solving for;
We are solving for x (number of weeks it would take Jaden to buy a $290 bike), when y = 290Equation would be:
y = 25x + 140So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;
y = 25x + 140=> 290 = 25x + 140
=> 290 - 140 = 25x
=> 150 = 25x
=> 150 / 25 = x
=> 6 = x
Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.
Hope this help!
What it is the surface area of a perfect square pyrimaid when the slant height is 1 and the base width is 3?
Answer:
15
Step-by-step explanation:
The base would be 3*3, as it's a square. There are 4 triangles, and the area of each triangle is 1*3/2=1.5. 1.5*4+9=15.
You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answer:
0.1007
Step-by-step explanation:
Given :
Average gain, μ = 0.8
Standard deviation, σ = 0.7
Number of companies, n = 20
Obtaining the standardized value ;
Zscore = (x - mean) / (σ/√n)
Zscore = (1 - 0.8) / (0.7/√20)
Zscore = (0.2 / 0.1565247)
Z = 1.27775
Using the Z probability calculator :
P(Z > 1.27775) = 0.10067
P(Z > 1.27775) = 0.1007 ( Z probability calculator)
What is a solution of -8x+5>=11
A.-1/2
B.3
C.0.25
D.-1
Answer:
i got -2
Step-by-step explanation:
1 step; 8*x-5-(11)=0
2 step; 8x - 16 = 8 • (x - 2)
3 step; Solve : 8 = 0
4 step; Solve : x-2 = 0
final part Add 2 to both sides of the equation :
x = 2
someone help me answer these two
Mr.Shand had $50 in his wallet on Friday after school.That night,He spent $11.50 on a pizza $3.75 on ice cream.One his way home,He found $5 on the ground ,How much money does Mr.Shand have at the end of the night?
Answer:
39.75
Step-by-step explanation:
so first we do 50-11.50-3.75+5. to simplify it 55-15.25
if u do the math that equals 39.75
to double check 39.75+15.25=55
Which option please I need help ASAP reply ASAP
Answer:
The answer is probably c
Step-by-step explanation:
its deducted by the x axis
Answer:
B
Step-by-step explanation:
(please help) Find m
Answer:
[tex]m\angle MLK=78^{\circ}[/tex]
Step-by-step explanation:
The Base Angle Theorem states that the base angles of the two equal legs of an isosceles triangle are equal. Since there are 180 degrees in a triangle, we have:
[tex]m\angle MLK+51+51=180,\\m\angle MLK +102=180,\\m\angle MLK=\boxed{78^{\circ}}[/tex]
PLEASE HELP. !!!!!!!!!!
Answer:
the last one bottom right
Step-by-step explanation:
well, did it in my head, but the idea is to calculate it out
(x-8)*(x-8)=50
is just
x²-16x+64=50
to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side
Help its due rn!!!!!!!!!! Please
Answer:
C po
Step-by-step explanation:
sana maka tulong po sayo
Please help
this is important (is a activity )
Answer:
y = 5
Step-by-step explanation:
This is a horizontal line. The value of y does not change
The equation is of the form y = constant
y = 5
Answer:
y = 5
Step-by-step explanation:
I NEED HELP ASAP IM STRESSJNG OUT
Answer:
A
Step-by-step explanation:
Using the Sine rule in Δ ABC
∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then
[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )
BC × sin100° = 13 × sin30° ( divide both sides by sin100° )
BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )
Please help me ASAP and i mean ASAP
Answer:
no
Step-by-step explanation:
no
Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of money Jon received.
