Answer:
1.) 2
2.) -5
Step-by-step explanation:
Definitely could use some help. Would also be really appreciated if someone gave a breakdown of how they solved it. Thank you!!!
The rest of the side where the 8 is would 20 (28-8)
Set up proportions:
8/10 = 20/3x-5
Cross multiply
200 = 24x-40
Add 40 to both sides
240 = 24x
Divide both sides by 24
X = 10
Solve for the equation: 3x-5 = 3(10)-5 = 30-5 = 25
“What is the minimum value of the function: x^2+24x-18? Show your work.”
Answer:
-162
Step-by-step explanation:
x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162
(x+12)²≥0
(x+12)²-162≥-162
⇒ the minimum value of the function is -162
The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?
Answer:
The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant
y/x ≠ Constant
Step-by-step explanation:
The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;
x; 1, 2, 3, 4, 5
y; 25, 40, 55, 70, 85
The rate of change of the data in the table is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Between the 1st and the 3rd point, we have;
m = (55 - 25)/(3 - 1) = 15
Between the 1st and the 5th point, we have;
m = (85 - 25)/(5 - 1) = 15
Therefore, the rate of change of the y values per unit change of the x-value is 15
Therefore, the "x" and y-values have a linear relationship
However, for a proportional relationship, we have;
y/x = Constant
At the 1st point, we have;
25/1 = 25
At the 3rd point, we have;
55/3 = 18.[tex]\overline 3[/tex]
∴ y/x is not constant and the the data in the table does not represent a proportional relationship.
Subtract one-third from 8 times b
i think the answer is 1/3 from 8x 6 =-46.7 i think
Your pay rate is $20 per hour and you have a weekly pay period. You have worked overtime and accumulated 50 hours for the week. You get paid time and a half for overtime hours. Calculate your gross pay. *
Answer:
$1200 gross pay
Step-by-step explanation:
if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)
X = 20(40) + 30(10)
X = 800 + 300
X = 1200
Maria is in charge of making punch for the party she adds two quarts of water to 1 quart of orange juice and 2 quarts of mango juice then she adds one quart of crushed strawberry juice and 2 quarts of pineapple juice to the mixture how many quarts of punch does Maria make?
Answer:
8 quarts
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Water = 2 quarts
Orange Juice = 1quarts
Mango Juice = 2 quarts
Strawberry juice = 1 quart
Pineapple Juice = 2 quarts
So, Total mixture = Sum of all ingredients in quarts
= 2 + 1 + 2 + 1 + 2 = 8 quarts
Hence, Maria makes 8 quarts of punch.
Penelope decides to reduce her math tutoring to half the amount of time she has been tutoring each month. After making this change, what will be her total amount of monthly income?
Answer: $300 per month (assumed)
Step-by-step explanation:
As figures are lacking in this question, I will use assumed figures and you can use it as a reference.
Assume Penelope had been tutoring for 60 hours a month and her hourly rate was $10 originally.
If she reduces this time to half, the amount of hours she begins to tutor is:
= 60 hours / 2
= 30 hours
At a rate of $10 an hour, her monthly income becomes:
= 10 * 30
= $300 per month
HI HELLO HELP ILL GIVE BRAINLIST OR WHATEVER
Answer:
6
Step-by-step explanation:
The base 2 logarithm of 64 is 6 or log264 = 6.
QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER
0.91 as a percent is 91%
Answer:
91%
Step-by-step explanation:
0.91 = 91/100 = 91%
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please
Answer:
12,300
Step-by-step explanation:
I'll right this as a function to make it easier on me.
f(x) = 7500(1 + 0.8)^x
f(2) = 7500(1 + 0.8)^2
f(2) = 7500(1 + 0.64)
f(2) = 7500(1.64)
f(2) = 12300
Answer:
$8700
Step-by-step explanation:
0.08 x 2 yrs = 0.16
7500 x 0.16 =1200
7500 + 1200 = 8700
Please help its due soon ill give brainlest
Answer:
r ≈ 7.80 yd
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 49 , then
2πr = 49 ( divide both sides by 2π )
r = [tex]\frac{49}{2\pi }[/tex] ≈ 7.80 yd ( to the nearest hundredth )
A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:
Answer:
73.12 ft²
Step-by-step explanation:
area = (8 x 6) + [(1/2)(3.14)(4²)] = 73.12 ft²
The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?
Answer:
3 units
Step-by-step explanation:
Equation of the circle is:
[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]
[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]
Equating it with
[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]
We find: h = - 3 & k = - 1
Center of the circle (C) = (-3, - 1)
Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.
Therefore,
[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]
[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]
[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]
[tex] r = \sqrt{0 +9} [/tex]
[tex] r = \sqrt{9} [/tex]
[tex] r = 3\: units [/tex]
help plz due rnnnnnnnn
Answer:
I would help if I could see the question
Step-by-step explanation:
Hope u figure it out : D
Answer:
No solution
Step-by-step explanation:
The quadratic formula is
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.[/tex]
where a is the coefficient of x squared, b is the coefficient of x, and c is a regular number.
Here, we have
a = 1
b = 7
c = 16
Plugging in values, we have
[tex]\frac{-7 +\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]
and
[tex]\frac{-7 -\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]
The first equation solves to an i term, so there is no way that there is an answer.
The second equation is also an i term, meaning there are no solutions to this equation
For which value of p and q does the following pair of linear equations have an infinite
number of solutions?
2x + 3y = 7
( p-q ) x + (p+q) y = 3 p + q -2
Answer:
[tex]p =2.5[/tex]
[tex]q = 0.5[/tex]
Step-by-step explanation:
Given
[tex]2x + 3y = 7[/tex]
[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
Required
Find p and q
To do this, we make direct comparison between the given expressions.
[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
This implies that:
[tex](p - q)x = 2x[/tex]
[tex](p+q)y = 3y[/tex]
[tex]3(p + q) - 2 = 7[/tex]
So, we have:
[tex]p - q = 2[/tex] --- (1)
[tex]p+q =3[/tex] -- (2)
[tex]3(p + q) - 2 = 7[/tex] --- (3)
If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.
So, we only solve [tex](1)\ and\ (2)[/tex]
Add (1) and (2) to eliminate q
[tex]p+p-q+q=2+3[/tex]
[tex]2p=5[/tex]
Solve for p
[tex]p = 5/2[/tex]
[tex]p =2.5[/tex]
Substitute [tex]p =2.5[/tex] in (2)
[tex]p+q =3[/tex]
[tex]q = 3 - p[/tex]
[tex]q = 3 - 2.5[/tex]
[tex]q = 0.5[/tex]
find the distance between M (-1,-1 ) and H (1,-2)
Answer:
sqrt(5)
Step-by-step explanation:
I hope this helps
A triangle has congruent angles. Two of the angles measure 68° and 56°. How many degrees are in the third angle?
A. 68
B. 18
C. 56
D. not enough information
Answer:
C. 56
Step-by-step explanation:
So if the total amount of degrees in a triangle is 180
(degrees = 180(n-2), d = 180(3-2), d = 180), then 180 = 68 + 56 + x
solve the equation for x
180 = 68 + 56 + x
180 - 68 - 56 = x
x = 56
Please help me asap. No links or I will report you
8th Grade
Answer:
D. square root of 7 to the power of 3
R. b=6/8
I'm not 100% sure on how to figure out this equation, can can anyone help out?
Answer:
Aonnalin, great name :) answer as below
Step-by-step explanation:
They tell us to use slope-intercept form. This is something you will just have to remember y = mx+b
It is confusing b/c there is the other one, the point-slope formula too. but just remember both and know that the point-slope one is to get to the slope-intercept one. y-y1 = m(x-x1)
m= slope
m = (y2-y1) / (x2-x1)
P1= (0,7) in the form (x1,y1)
P2 =(8,-2) in the form (x2,y2)
m = -2-7 / 8-0
m = -9 / 8
now that we have the slope, just use either point with the point-slope
y-7 = (-9/8)(x-0)
y-7 = -9x/8
y = -9x/8 + 7
y = [tex]\frac{-9}{8}[/tex] X + 7
slope-intercept form :)
What is easier math or reading? Explain why.
Also be serious when answering
Answer:
That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.
Step-by-step explanation:
Answer:
reading is easier than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math there for reading is easier than math
Step-by-step explanation:
The amount of money in a bank account increased by 18.5% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase? Select all that apply.
A
n + 0.185n
B
n + 18.5n
C
1.185n
D
0.185n
E
18.5n
F
19.5n
Answer:
A)n+0.185n C) 1.185n
Step-by-step explanation:
the formula for simple interest is [tex]I=P(1+rt)[/tex]
if the interest rate is 18.5% and the time is 1 year, it would look like:
[tex]P(1+0.185(1))[/tex] or [tex]P(1.185)[/tex]
Calculate the area of this trapezium.
6 cm
5 cm
4 cm
8 cm
Answer:
6cm is the correct answer
can one of yall solve the problem above ?
Answer:
C
Step-by-step explanation:
Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students save their money, when will they have the same amount of money ?
Answer:
No. They will not have the same amount of money.
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.875/100
r = 0.03875 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.03875/12)(12)(7.5)
A = 10,000.00(1 + 0.003229167)(90)
A = $13,366.37
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37. Therefore, they cannnot save the same amount.
What fact will help you to find the measure of angles B and C in the diagram shown?
A) An equilateral triangle has 3 congruent angles.
B)
The height of an isosceles triangle bisects the base.
C) The base angles of an isosceles triangle are congruent.
D)
The midsegment of an isosceles triangle is parallel to the base
Answer:
The Answer is C
Step-by-step explanation:
Look at B and C you can see that they have a line on each angle. Also, know that isosceles have two congruent sides. So when looking at this triangle we can infer that C is our best bet.
Stacy made 3 of her car payments late and was fined 3 late fees. The total change to her savings from late fees was - $24. How much was each late fee?
Answer:
$8
Step-by-step explanation:
I got my answer of $8 because I knew that the total amount of money she was charged for late fees was $24, and she was charged for 3 late fees. Then, I did $24 divided by 3 late fees and got $8 per late fee as my answer.
24 divided by 3 equals 8.
what is the soultion to the equation 4/6 x — 1/2x = 3/10(x + 4)
In the graph shown below, if lines land 12 are parallel, then the slope of line 12 is
9514 1404 393
Answer:
4
Step-by-step explanation:
The slope of L1 is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -(-3)) = 4/1 = 4
The slope of L2 is the same as the slope of L1. The slope is 4.
I need help to solve
Answer:
a = 30°
b = 11°
Step-by-step explanation:
JK = 360 - 110 - 130 - 54 = 66°
Inscribed angles = 1/2 their arc
∠K = 1/2(130 + 54) = 92°
∠J = 1/2(110 + 130) = 120°
∠M = 1/2(66 + 110) = 88°
8b = 88°
b = 11°
∠L = 1/2(54 + 66) = 60°
2a = 60°
a = 30°
PLZ HELP
i’ll give brainliest
Answer:
The correct answer is -29/3