All categories

3 years ago

PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!

Mathematics

2 answers:

kakasveta [241]3 years ago

3 0

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

MatroZZZ [7]3 years ago

3 0

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

You might be interested in

An internet start-up predicts its revenue by a straight-line method with a slope of $7000 per month. In its 6 th month it had re

Margarita [4]

Given that the method of revenue calculation is straight line method, the equation modeling this will be given by:
y=mx+c
where:
m=slope
x=time
c=initial value.
from our question:
slope,m=$7000
time=T
y(x)=R(t)
hence the formula after the sixth month will be:
R(t)=7000T+45000

5 0

3 years ago

The drill team at Hill Middle School made 120 spirit pins to sell for a fundraiser. After the fundraiser, the team had 18 pins l

Marizza181 [45]

no 1) is 85%

no 2) is 32 - 80 = -48

3 0

3 years ago

Question a) Compare the Variability of Expenditure of Families in Two Towns given as follows: Number of families Expenditure (Ru

Karolina [17]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of families __________Expenditure

______midpoint (x) ____Town A __Town B

21-30 __25.5____________3 _______2

31-40 __35.5____________61 ______14

41-50 __45.5___________132 _____ 20

51-60 __55.5__________ 153 ______27

61-70 __65.5__________ 140 ______ 28

71-80 __75.5___________ 51 _______ 7

81-90 __85.5___________ 2 _______ 2

The variability is the variance and standard deviation :

The variance (s):

√Σ(x - m)²/Σf(x)

Town A:

m = Σ(X * f(x)) / Σf ; Σf = 542

Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)

= 29931 / 542

= 55. 22

Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541

= 76458. 4928 / 541

Variance = 141.32808

Standard deviation = √variance

Standard deviation = √141.32808

Standard deviation = 11.89

TOWN B:

m = Σ(X * f(x)) / Σf ; Σf = 100

Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)

= 5490 / 100

= 54.90

Variance :

Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99

= 16764 / 99

= 169.33

Standard deviation = √variance

Standard deviation = √169.3333

Standard deviation = 13.013

From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.

8 0

3 years ago

The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy

Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

$shortleg^2+longleg^2=hypotenuse^2$

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

$s^2+(2s+4)^2=(2s+6)^2$

And of course we have to expand. Doing that will leave us with

$s^2+4s^2+8s+8s+16=4s^2+12s+12s+36$

Combining like terms we have

$5s^2+16s+16=4s^2+24s+36$

Our job now is to get everything on one side of the equals sign and solve for s

$s^2-8s-20=0$

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0

3 years ago

How much greater is 4/9 than 2/9. Please answer.

kodGreya [7K]

Step-by-step explanation:

A better way to word this is how much more is 4/9 than 2/9 which is 2/9 more because 2/9 plus 2/9 is 4/9 and the denominator stays the same

4 0

2 years ago