Answer: The earliest evidence of written mathematics dates back to the ancient Sumerians, who built the earliest civilization in Mesopotamia. They developed a complex system of metrology from 3000 BC.
Step-by-step explanation: Perhaps the most important reason to study math is because the study of mathematics builds problem-solving skills. All citizens need to know how to reason and analytically think through a problem. The habits of mind associated with learning mathematics trains our brains to seek solutions in a logical way.
Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?
Given:
Last year Lira earned $12,000 less than her husband Todd.
Together they earned $75,000.
To find:
The amount earned by Lira in last year.
Solution:
Let x be the amount earned by Lira's husband inn last year.
Last year Lira earned $12,000 less than her husband Todd.
Amount earned by Lira = [tex]x-12000[/tex]
Total amount earned by Lira and her husband = [tex]x+(x-12000)[/tex]
= [tex]2x-12000[/tex]
Together they earned $75,000.
[tex]2x-12000=75000[/tex]
[tex]2x=75000+12000[/tex]
[tex]2x=87000[/tex]
[tex]x=\dfrac{87000}{2}[/tex]
[tex]x=43500[/tex]
Now,
Amount earned by Lira = [tex]x-12000[/tex]
= [tex]43500-12000[/tex]
= [tex]31500[/tex]
Therefore, the amount earned by Lira in last year is $31500.
x + y = 3
4x + 4y = -12
Answer:
oop
Step-by-step explanation:
4x+4y-4=-12-4
then you get the answer for x
answer attached problem
Answer:
N,L,H,R,P
Step-by-step explanation:
The monarch butterfly population is estimated at 18,000. It decreased at a
rate of 8% per year. How many butterflies will there be in 6 years
Answer:
I think, yes?
Step-by-step explanation:
PLEASE HELP ITS AN ENERGENCY Which equation of a line is parallel to the graph of y = 3x - 5 and passes through the point (1,5)?
A.) y = 3x + 2
B.) y = 3x - 14
C.) y = 1/3x+8/3
D.) y = -1/3x+16/3
Since it's paralel, it's angular coeficient must be the same.
[tex]f(x) =ax+b[/tex]
[tex]f(x) = 3x+b[/tex]
We know that the function passes through the point (1,5), then:
[tex]f(1) = 5[/tex]
[tex]3+b = 5[/tex]
[tex]b = 2[/tex]
The function is:
[tex]f(x) = 3x+2[/tex]
A.) y = 3x + 2
The equation of the line will be "y = 3x + 2".
Given:
[tex]y =3x-5[/tex]or,
[tex]3x-y-5=0[/tex]Point,
(1, 5) = (x, y)The equation of the line which parallel to the given equation will be:
[tex]3x-y+C=0[/tex]By substituting the value of "x" and "y" in the above expression, we get
→ [tex](3\times 1)-5+C=0[/tex]
→ [tex]3-5+C=0[/tex]
→ [tex]-2+C=0[/tex]
→ [tex]C = 2[/tex]
Therefore the equation of line is "[tex]3x-y+2=0[/tex]". Thus the above answer i.e., option A is correct.
Learn more about equation of line here:
https://brainly.com/question/23346308
Of all the children who attended the party,40% were boys.40% of the boys and 60% attending the party eat ice cram what percent of children in the party choose ice cream
The expression 12g gives the number of kilometers a car can travel using liters of gasoline.How far can this car travel on 6 1/2 liters of gasoline
Complete question :
The expression 12g gives the number of kilometers a car can travel using g liters of gasoline.How far can this car travel on 6 1/2 liters of gasoline
Answer:
78 km
Step-by-step explanation:
12g = Number of kilometers traveled using g litres of gasoline. - - - (1)
The expression shows that:
Kilometers per gallon = 12
Number of gallons used = miles per gallon * distance
Distance that can be traveled on a 6 1/2 lites of gas :
Here, g = 6 1/2
Substituting the value of g into the expression Given :
Distance = 12g
g = 6 1/2
Distance = 12(6 1/2)
Distance = 12(13/2) = 12(6.5)
Distance = 78 km
what are polynomials abd how can we classify through identification of degree and leading coefficient
Answer:
A polynomial consists of the sum of distinct algebraic clumps (called terms), each of which consists of a number, one or more variables raised to an exponent, or both. The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient.
Step-by-step explanation:
A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fiber in the entire tomato?
A: Since the slices have about 0.20 grams of fiber each, the amount of fiber in the entire tomato is approximately 8 x 0.20 = 1.60 grams.
B: Since the slices have about 0.20 grams of fiber each, the amount of fiber in the entire tomato is approximately 8 + 0.20 = 8.20 grams.
C: Since the slices have about 0.10 grams of fiber each, the amount of fiber in the entire tomato is approximately 8 x 0.10 = 0.80 grams.
D: Since the slices have about 0.10 grams of fiber each, the amount of fiber in entire tomato is approximately 8 + 0.10 = 8.10 grams.
Answer:
A
Step-by-step explanation:
if x varies inversely with y², and x=10 when y=7. find x when y=10
Answer:
4.9Step-by-step explanation:
Given
x varies inversely with y², then the function is:
x = k/y²x = 10, y = 7, find the value of k by substituting the values of x and y:
10 = k/7²10 = k/49k = 10*49k = 490The function is:
x = 490/y²When y = 10, the value of x is:
x = 490/10² = 490/100 = 4.9Answer:
Statement says that,
x varies inversely with y²
According to the above problem,we get
x=k/y², where k is a constant
Now, x=10 when y=7, so the value of k is
10=k/7²
k=10×7²
k=10×49
k=490
Hence, when y=10,
we have to find the value of x
So by putting the value of k, we get
x=490/(10)²
x=490/100
x=4.9
★ x=4.9 is the right answer.
Find the volume of the cylinder. Round your answer to the nearest tenth.
The volume of the cylinder is about __ cubic feet.
Answer: 785.4
Step-by-step explanation: Volume = πr2h
= π×52×10
= 250π
= 785.39816339745
to then nearest tenth = 785.4
Simplify 2 *6y +3y divide3
Answer:
21y
Step-by-step explanation:
You have to multiply 2 ⋅ 6 = 12
=12y + 3 ⋅ 3y
Then multiply 3 ⋅ 3 = 9
= 12y + 9y
= 12y
Hope it helps :>
Find the percent of change and describe it as an increase or decrease. If necessary, round to the nearest tenth.
$12.20 to $4.80
A.
60.7% decrease
B.
154.2% decrease
C.
39.3% decrease
Answer: B
Step-by-step explanation:
It just is.
Answer: A. $60.7% decrease
Answer:
= 60.6557% decrease
Step-by-step explanation:
Solution:
Calculate percentage change
from V1 = 12.2 to V2 = 4.8
(V2−V1)|V1|×100
=(4.8−12.2)|12.2|×100
=−7.412.2×100
=−0.606557×100
=−60.6557%change
=60.6557%decrease
45 x 42 in standard algorithm
Answer:
dont know what standard alortim means but wouldnt answer be 1890
Step-by-step explanation:
Answer:
1890
Step-by-step explanation:
SO , basically we can do it like this
2
1
45
X
42
__________
9 0
18 0 0
___________
1 8 9 0
f(x) = x2 + 2x - 5
g(x) = -3x2 - 4x + 1
What is f(x) – g(x)?
Answer: x is 9, g is 41 and f is 6
Step-by-step explanation:
Pls help ASAP
Am failing
Hdydheuehbedh
The graph shows the function f(x) = |x-h| + k. What is the value of k?
Answer:
k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).
The value of k is ...
... A. k = -2.5
i think... ;-;
Answer:
A.k=-2.5
Step-by-step explanation:
just took it
which inequality is true?
A.|-100< 50
B.|-100> |50|
C.|- 50 <- 100
D. -50 > |-100|
HELP ME PLEASE POR FAVOR AYUDA ASAP LOL
Answer:
I haven't learn that yet but maybe try asking desmos that app is helpful and maybe can help with your question!
HELP!!!!! PLEASE!!!!!
Answer:
4
Step-by-step explanation:
It's a pythagorean triple
The diagram shows triangle ABC. Calculate the length of AC
Answer:
give full question. where is diagram.
Answer:
try 12.08
Step-by-step explanation:
Which set of ordered pairs represents a function?
{(-2,5), (6,9), (8, –4), (8, 7)}
{(-1,4), (-5, -2), (6,1),(-2,-2)}
{(-5, -6), (-5,3), (-7, -8), (-1, -9)}
{(-8, -4), (-8, –5), (-6, -1),(3,6)}
Please help
Answer:
B. the second one
Step-by-step explanation:
Help!!! In the ____sq parts pls
Answer:
1. 63 sq m
2. 76 sq m
3. about 36.56 sq m or 24 + 4[tex]\pi[/tex]
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Help asp Explain $ thx
Answer:
(0,-3) or just -3
Step-by-step explanation:
Can you guys solve this :>
Answer:
53˚
Step-by-step explanation:
There are 360 total degrees in a 4-sided shape (You can find the total number of degrees in a polygon by using the formula 180(n – 2) where n is the number of sides).
so we can add up all the degrees and subtract them from 360.
67 + 135 + 105 = 307
360 - 307 = 53
Triange ABC goes through a dilation with a scale factor of 1.5. If the coordinates of A are at (-4, -2) what will the coordinates of A' be?
Answer: The coordinates of A = (-6,-3).
Step-by-step explanation:
The coordinates of image of point (x,y) after the dilation with scale factor of k given by :-
[tex](x,y)\to (kx,ky)[/tex]
Given: Scale factor = 1.5
Coordiantes of A = (-4,-2)
The coordiantes of A' after a dilation with a scale factor of 1.5 will be
[tex](1.5\times-4, 1.5\times-2) = (-6,-3)[/tex]
Hence, the coordinates of A = (-6,-3).
help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Select the correct answer.
What is the end behavior of this radical function?
Answer:
A.
Step-by-step explanation:
As x approaches positive infinity, f(x) approaches positive inifinty.
i need help pls. urgent
Answer:
3,9,(girls)
mean :sum of total no.of merits /total no.=21÷7=3
mean: sum of total no.of boys/total no.of student=58÷7=8.2=greater than 8.2=9
4d + 8
Use the Distributive property to write an equivalent expression
Answer:
4d and 8 4d=2 times 2 times d 8=2 times 2 time s2
1 answer
Step-by-step explanation:
Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph
Answer:
8437+[203841]93=89
Step-by-step explanation: its 840+038(8)
