Answer:
7.5kg
Step-by-step explanation:
Given that:
Monday:
Mass of sand = 24 kg
Mass of cement = 5 kg
Tuesday :
Mass of sand = 36 kg
Let mass of cement = c
Mass of cement required to make the same type of mortar mix
Mass of Sand = mass of cement
24kg = 5kg
36kg = c
By cross multiplication :
24 * c = 5 * 36
24c = 180
Divide both sides by 24
c = 180 / 24
c = 7.5 kg
Hence mass of cement required is 7.5 kg
how many times will lines 3x+4y=8 and y-5x=2 intersect
if your grade is 68.27 and you get a 15 out of 15 on your test whats your grade now
Answer:
84
Step-by-step explanation:
68 + 100 = 168
168/2 = 84
what is the average of 110 and 93 ??????
Answer:
101.5
Step-by-step explanation:
if
f(x)=3x+1 and f^-1= x-1/3,
then f(2)=
Answer:
f(2) = 7Step-by-step explanation:
f(x) = 3x + 1 ⇒ f(2) = 3×2 + 1 = 6 + 1 = 7
Rodger put $1,000 in a bank account that pays 5% annual simple interest. At the end of four years, how much interest has he earned and what is the balance of his account
Answer: He has earned $200 interest and the balance of his account is $1,200.
Step-by-step explanation:
Given: Principal : P = $1,000
Simple interest rate : r = 5% = 0.05
Time: t = 4 years
Simple interest = [tex]Prt[/tex]
[tex]=1000\times0.05\times4=200[/tex]
i.e. Simple interest = $200
Balance of account = Principal + Simple interest
= $1,000 + $200
= $1,200
Hence, he has earned $200 interest and the balance of his account is $1,200.
Evaluate f(-2) if f(x) = x2+ 3
Answer:
f(-2) = 7
Step-by-step explanation:
-2 squared would be a positive 4 then add 3
Answer:
f(-2) = 7
Step-by-step explanation:
becuase yes
3/8 of 24 is equal to?
Answer:
9
Step-by-step explanation:
9, this is because 3/8 × 24 = 9
I cant solve this question :(
Answer:
a) tan x = 1
b) tany = 4 + tanx /2tanx - 3
Step-by-step explanation:
a) Given the equation
2(sinx + 2cosx) = sinx +5cosx
Open the bracket
2sinx + 4cosx = sinx +5cosx
Collect like terms
2sinx - sinx = 5cosx - 4cosx
sinx = cos x
Divide both sides by cos x
sinx/cosx = cosx/cosx
tanx = 1
Hence the value of tan x is 1
b) Given the expression
sinxcosy + 3cosxsiny = 2sinxsiny - 4cosxcosy
We are to express tany in terms of tan x
Divide through by cosx cosy
sinxcosy/cosx cosy + 3cosxsiny/cosx cosy = 2sinxsiny/cosx cosy - 4cosxcosy/cosx cosy
sinx/cosx + 3siny/cosy = 2tanxtany - 4
tanx +3tany = 2tanxtany - 4
Collect like terms
tanx - 2tanxtany = -4 - 3tany
- 2tanxtany+3tany = -4 - tanx
tany (-2tanx+3) = -4 - tanx
tan y = -4 - tanx/-2tanx+3
tan y = -(4+tanx)/-(2tanx-3)
tany = 4 + tanx /2tanx - 3
Hence the function of tany in term of tan x is tany = 4 + tanx /2tanx - 3
The three consecutive terms
of an exponential sequence are
the second third and sixth terms
of a linear sequence. Find the
common ratio
the exponential
sequence.
Answer:
1Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
Hence the common ratio of the exponential sequence is 1
The student council at Summerfield High School is making T-shirts to sell for a fundraiser, at a price of $11 apiece. The costs, meanwhile, are $10 per shirt, plus a setup fee of $141. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answer:
$1551 needed to cover the costs and 141 shirts will be sold.
Step-by-step explanation:
If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.
C = 10s + 141 (C is cost and s in no. of shirts sold)
s = 141
C = 141*10 + 141 = 1551
Hope this helps!
Which equation has no solution
Answer:
The first option has no solution.
Step-by-step explanation:
The absolute value of any number, whether it be positive or negative, results as positive.
With the equation listed, you CAN NOT obtain a negative number as your result, therefore this equation has NO SOLUTION.
#teamtrees #WAP (Water And Plant)
Which student consumed the most calories?
Mario
Tim
Kim
Kia
Answer: Kia
Step-by-step explanation:
expanded form of 54.98
Pleaseeeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
26
Step-by-step explanation:
just add a few points
What is 60% of $55?
$____
Answer:
33
Step-by-step explanation:
.6 * 55 = 33
Answer:
$33
Step-by-step explanation:
Cross multiply 60/100=x/55
=>60(55)=100x
=>3300=100x
divide both sides by 100 to get x by itself=> 33=x
Does Anyone Know This
Answer:
1 g-h
2 g^2-h
3 gh
4 g+h
5 h-g
6 g+h^2
Step-by-step explanation:
Write an express for the perimeter of the figure shown by combing like terms.
Answer:
21w+3
Step-by-step explanation:
1) 9w+5+5w+7w-2
2) 9+5+7=21.
3) 5-2=3
The value of a correlation coefficient, r, is 0.9841. What does the value of the correlation coefficient indicate? Group of answer choices There is weak or no correlation between Yumiko's exercise time and how far she runs. There is a causal relationship between Yumiko's exercise time and how far she runs. There is a strong positive correlation between Yumiko's exercise time and how far she runs. There is a strong negative correlation between Yumiko's exercise time and how far she runs.
Answer: There is a strong positive correlation between Yumiko's exercise time and how far she runs.
Step-by-step explanation:
The correlation Coefficient value measures the relationship between two variables in other it determine the strength of association between them. The Coefficient could take any value between - 1 to + 1 with negative r values depiction negative relationships while positive values means positive relationship. The closer the r value is to either 1 or - 1, the stronger the relationship between hen m
Graph y= 1/3x+3 .
i need help with it
Answer:
the y intercept is 3 and you go up 1 over 3 from the y intercept
Step-by-step explanation:
the y intercept is 3 and you go up 1 over 3 from the y intercept
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears x the company has to sell in one day to equal its daily cost?
A. 1500 + 8x = 12x
B. 1500 + 8x = 12
C. 8x = 12x + 1500
D. 12 + 8 = 1500
Answer:
Probably B
Step-by-step explanation:
plsss help mehhh...
Step-by-step explanation:
(2, m) => (n, 5) => (10, 2)
We have 2n = 2 + 10 and 2(5) = m + 2
Hence n = 6 and m = 8.
Pls help I'm in 4th grade and I was sick when we learned this pls pls help :( PLS
Answer:
He needs to cut 20.
Step-by-step explanation:
You score a 95% or your mouth quiz the quiz was out of 60 points how many points did you get
Answer:
It will be 57 points.
Step-by-step explanation:
The local Farm Market sells peppers at five for $2.25. Complete the rate table.
The proportionality is 0.45, then the equation is C = 0.45 n. The number of peppers you buy for $20 will be 44.44. Then the table is completed below.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Let 'C' be the cost and 'n' be the number of peppers. Then the proportionality is given as,
C ∝ kn
At n = 5, the cost C = 2.25, then we have
2.25 = k (5)
k = 2.25 / 5
k = 0.45
Then the equation is given as,
C = 0.45 n
The number of peppers you buy for $20 will be given as,
20 = 0.45 n
n = 44.44
Then the table is completed below.
Number of peppers Cost
1 $0.45
2 $0.90
3 $1.35
4 $1.80
5 $2.25
10 $4.50
15 $6.75
20 $9
100 $45
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
[tex]x^a=y^b=z^c \\xyz=1\\ab+bc+ca=?[/tex]
Answer:
ab+bc+ca=0
Step-by-step explanation:
We are given:
[tex]x^a=y^b=z^c[/tex]
xyz=1
Separating equations:
[tex]x^a=z^c[/tex]
[tex]y^b=z^c[/tex]
Solving the first equation for x:
[tex]\displaystyle x=z^\frac{c}{a}[/tex]
Solving the second equation for y:
[tex]\displaystyle y=z^\frac{c}{b}[/tex]
Substituting in
xyz=1:
[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]
Adding the exponents:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]
Since [tex]1=z^0[/tex]:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]
The base is z on both sides so we get rid of them:
[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]
Multiplying by ab:
bc+ac+ab=0
Reordering:
ab+bc+ca=0
What is the area of the trapezoid?
Answer:
6.26 yards
Step-by-step explanation:
Answer:
6.25 would be the answer :)
Step-by-step explanation:
Find the mean, median, mode, and range of the data below:
1)
# Words in Book Titles
2
6
5
5
5
4
4
2
3
2
3
2 1 2
2
Answer:
6.75
Step-by-step explanation:
Find the mean of the set {2,5,5,6,8,8,9,11} .
There are 8 numbers in the set. Add them all, and then divide by 8 .
2 + 5 + 5 + 6 + 8 + 8 + 9 + 118=548=6.75
Find the slope of a line parallel to each given line. y = − 1 4 x − 2
14x15 in area model i need help
Answer:
210
14x15=210
Step-by-step explanation:
14x15 =210
Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function Y=8/5x+ 3/5
Answer:
A general lineal equation is written as:
y = a*x +b
Where a is the slope (also called the rate of change) and b is the y-intercept-
For a line that passes through the points (x1, y1) and (x2, y2)
The slope will be:
a = (y2 - y1)/(x2 - x1)
For the line:
Y= (8/5)*x+ 3/5
The slope, or rate of change, is 8/5.
Then we want to find two points (x1, y1) and (x2, y2) such that the slope generated by them is larger to 8/5.
There are a lot of ways to finding these points, a simple way is:
We could define (x1, y1) = (0, 0)
And (x2, y2) = (5, 9)
Then the rate of change of the line that passes through these two points will be
a = (9 - 0)/(5 - 0) = 9/5
Which is larger than 8/5, as we wanted.