Answer:
2x + 9 = 21
Step-by-step explanation:
Looking at option C;
2x + 9 = 21
Step 1: Subtract 9 from both sides
2x+9 - 9 = 21 - 9
2x = 12
Step 2: divide both sides by 2
2x/2 = 12/2
x = 6
Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If she works 40 hours per week, how much more will Avery be making than before her 15% raise?
A.$15.00
B.$280.00
C.$84.00
D.$116.00
Answer:
C) $84
Step-by-step explanation:
40 x 14 = 560
she made $560 prior to raise
14 x 1.15 = 16.10
her new hourly rate is $16.10
40 x 16.1 = 644
she now earns $644 per week
644 - 560 = 84
PLEASE HELP ASAP!!!
Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.
○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem
Multiply (8z-3)(2z+5)
Answer:
12z if thats wrong lmk
Step-by-step explanation:
can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?
Answer:
Angle of elevation of the airplane = 17.46 degrees
Step-by-step explanation:
From the picture attached,
An airplane is flying at an altitude of 1500 ft at point A.
Runway starts from point B from which distance of the airplane is 5000 ft.
Now we apply sine rule in the given triangle ABC to measure the angle θ.
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sinθ = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{1500}{5000}[/tex]
[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]
[tex]\theta=17.46[/tex] degrees
Write the equation of a line that goes through the points (2, -2) and (1, -8)
show work i will appreciate it
Answer:
y=6x-14
Step-by-step explanation:
m=-8-(-2)/1-2
m=-8+2/1-2
m=-6/-1
m=6
y-y1=m(x-x1)
y-(-2)=6(x-2)
y+2=6x-12
y=6x-2-12
y=6x-14
I will give brainlest please help
The center of the circle would be (5,-8)
This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:
(x-5)^2+(y+8)^2 = 121
The center would be (5,-8), since there is (x-5) and (y+8).
The radius of the circle would be 11
This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:
(x-5)^2+(y+8)^2 = 121
By doing √121, you would get 11 as the radius.
Evaluate the expression.
3 + (50- 5^2)
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
What is the ft and in
Question is ;
Complete question is;
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
Which city accumulates more snow in 3 days? How much more snow?
Answer:
- Boston accumulates more snow in 3 days.
- It accumulates 0.6 ft of snow more than Boston
Step-by-step explanation:
Boston accumulates 1.5 feet of snow every 36 hours.
Number of hours in 3 days = 24 × 3 = 72 hours.
Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.
Now, Buffalo accumulates 0.01 inches of snow every minute.
In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes
Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches
Now, let's convert this to ft;
12 inches = 1ft
Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft
Thus, Buffalo accumulates more snow in 3 days.
It accumulates 0.6 ft of snow more than Boston
the answer? wowisoososksks
Answer:
1/6
Hope that this helps!
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza leftover.
Step-by-step explanation:
2 7/12 + 2/3 = 3 1/4
4 - 3 1/4 = 3/4
so 3/4 of 1 pizza is left.
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
Solve for j jj. j − 2 + 7 = − 12 −2 j +7=
Answer:
j= -10/3
Step-by-step explanation:
j - 2 + 7 = - 12 - 2j + 7
*add -2 and 7 to get 5
j + 5 = -12 - 2j + 7
*add -12 and 7 to get -5
j + 5 = -5 - 2j
*add 2j to both sides
3j + 5 = -5
*subtract 5 from both sides
3j = -10
*divide both sides by 3
j= -10/3
HELP ASAP!! Click the picture to make it bigger
:)
thanks
Answer:
the answer is C.
Step-by-step explanation:
Carry a book bag: Female is 57
4 Students is___% of 20 students.
Answer:
20%
Step-by-step explanation:
4 / 20 = 0.2 = 20%
Hope this helps :)
Answer:
4 Students is 20% of 20 students.
Step-by-step explanation:
[tex] \frac{4}{20} \times 100[/tex]
= 4 × 5 %
= 20%
x^2 + y^2 =-6x-14-6y
Answer:
x=−3+√(−y−1)(y+5)
Step-by-step explanation:
thats if your solving for x if not to math w l ay
The BEEEST answer will get brainliest. Also, I NEED HELP, I'm STUCK!
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
A.)(0.24, 0.48)
B.)(0.30, 0.42)
C.)(0.22, 0.50)
D.)(0.20, 0.52)
Answer:
(0.30, 0.42)
Step-by-step explanation:
i took the test :)
Which of these are the constant?
4y+1+9x
Answer:
1 is the constant
Step-by-step explanation:
What is the slope of the line that passes through the points listed in the table?
x | y
4 | 3
7 | 9
A. -2
B. 2
C. 3
D. 6
Answer:
B. 2
Step-by-step explanation:
(4, 3) (7, 9) M = Slope
M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex] Slope formula
[tex]M=\frac{9-3}{7-4}[/tex] Using the slope formula, plot both x and y intercepts
[tex]M=\frac{6}{3}[/tex] Slope needs to be simplified into a whole number
[tex]M=2[/tex]
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
Type the correct answer in the box. The product of (3 - 4) and is 25.
Answer:
3+4i
Step-by-step explanation:
let x be the answer
(3-4i)x=25
x=25/(3-4i)
multiply by the conjugate
x=(25(3+4i))/25
x=3+4i
Step-by-step explanation:
solution
2/7 of 3/4= 2/7×3/4=
(2×3)/ (7×4)
Ans = x= 3+4i
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing
Answer:
1 inch = 3 feet
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
6 /2 = 3
1 in = 3 feet
What is the area and perimeter?
Answer:
Perimeter: 26 units
Area: 24 units²
Step-by-step explanation:
12 + 9 + 5 = 26
A = 1/2BH
A = 1/2 12(4)
A = 1/2 48
A = 24
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
1. There are two small rectangles in this picture that make one large rectangle. How
could
you
find the area of the large rectangle?
10
My thoughts/workspace
3
5
What is the area of the large rectangle?
units?
Answer:
Finding the area of a large rectangle is A = l × b
Step-by-step explanation:
A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,
Example: (a=lxb) + (a=lxb) = Area of big rectangle
PLS HELP ASAP BRAINLIEST!!!
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car travels 442 miles, how much gasoline does it need?
Answer:
17 gallons
Step-by-step explanation:
Help pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
-3,5 to find it first go over then go up and you have your answer
Answer:
The answer is (5, -3)
Hope this helps!
Mark me brainliest if I'm right :)
Find the H.C.F. of 8, 12, and 20
Answer:
it is 4
Please Mark Brain list answer
Hope it helps you.
Answer:
4
Step-by-step explanation:
2 8 12 20
2 4 6 10
2 3 5
:2*2=4
what is the area of the figure below
Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6)(8-5)[/tex]
= 9 in²
Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]
= [tex]\frac{1}{2}(6+4)(5)[/tex]
= 25 in²
Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.
2
4
5
3
help me find x
Answer:
Step-by-step explanation:
5x =2x+9(corresponding angles are always equal)
5x-2x=9
3x=9
x=9/3
x=3
Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.
Answer:
A.) Cheaper Fertilizer is Quick Fertilizer
B.) The cheaper fertilizer now cost $ 61
Step-by-step explanation:
The exact question is as follows :
Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.
To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.
B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.
Proof -
A.)
Given that,
Total lawn that have to be fertilize = 24,000
Now,
Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.
i.e.
6000 square feet = $ 18.49
⇒4×6000 square feet = $ 4×18.49
⇒24000 square feet = $ 73.96
∴ we get
Super Lawn costs $ 73.96
Now,
Quick Fertilizer costs $23.99 and covers 8,000 square feet.
i.e.
8000 square feet = $ 23.99
⇒3×8000 square feet = $ 3×23.99
⇒24000 square feet = $ 71.97
∴ we get
Quick Fertilizer costs $ 71.97
As we get
Super Lawn costs $ 73.96
Quick Fertilizer costs $ 71.97
As $ 71.97 < $ 73.96
So,
Cheaper Fertilizer is Quick Fertilizer
B.)
As we get from part a) that
Quick Fertilizer is cheaper and it costs $ 71.97
So,
15% of 71.97 = 10.7955
∴ we get
Now,
Quick fertilizer cost = $ 71.97 - 10.7955
= $ 61.1745 ≈ $ 61
So,
After applying the 15% coupon,
The cheaper fertilizer now cost $ 61