Answer:
Step-by-step explanation:
Let the consecutive integers be x - 1 , x , x + 1
Equation
2*(x - 1 + x) = 3*(x+1) - 2
Solution
2(2x - 1) = 3(x + 1) - 2 After the first two have been combined remove the brackets.
4x - 2 = 3x + 3 - 2 Combine the right
4x - 2 = 3x + 1
4x - 2 + 2 = 3x + 1 + 2 Add 2 to both sides
4x = 3x + 3 Subtract 3x from both sides
4x-3x = 3x - 3x + 3 Combine
x = 3
Check
Left hand side
2(2 + 3)
2(5)
10
Right hand side
3*(x+1) - 2
3*(4) - 2
12 - 2
10
The answers at least agree.
If nis the larger of two consecutive numbers, write an expression for the other number.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
n-1
Step-by-step explanation:
I hope you like the answer!
System of Equations in Three Variables Word Problem
Answer:
i think the answer is a number or multiple number and maybe a decimal.
Step-by-step explanation:
go to Tiger Algebra Solver
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ΔABC
Area of ΔA'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.
Answer: The Third option and the sixth option.
Step-by-step explanation: I have had this question on a test before and i got the answer correct. i hope this helped.
Which relation is a function?
a.
{(5,3), (2,8), (-5, -1),(4,7), (2, 1)}
b. {(5,3), (2,8), (-5,-1), (4,7), (-2, 1)}
{(5,3), (2,8), (-5, -1), (4,7), (5,7)}
d. {(-5,3), (2,8), (-5, -1), (4,7), (
2, 2)}
Answer: b
Step-by-step explanation:
You can determine which is a function by looking at the x values. If an x value repeats, it is not a function. In A, the x variable 2 repeats so it is not a function. In C, the x variable 5 repeats. In D, the x variable -5 repeats. The only answer choice where none of the x values are the same is B, so the answer is B. Hope this helps!
Line l was mapped to Line m as shown in the graph below. please help
What transformation was applied to Line l to produce the result shown?
Line l was translated up 5 units.
Line l was reflected over the x-axis.
Line l was reflected over the y-axis.
Line l was translated 6 units to the right.
What is the value of tan(t/2) if cos(t) = 4/5 and t is in quadrant IV?
Answer:
Step-by-step explanation:
-1/3
Answer:
A
Step-by-step explanation:
on edge
Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.
Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?
Answer:
Weekly: $106.25
Monthly: $425
Yearly: $5,100
Step-by-step explanation:
Answer:
Step-by-step explanation:
WEEKS:
$175 divided by 4= 43.75
100 divided by 4= $25
150 divided by 4: $37.5
TOTAL: 106.25
YEARLY:
$175 times 12: $2,100
$100 times 12: $1,200
$150 times 12: $1,800
TOTAL: 5,100
MONTHLY: $425
At noon, a tank contained 8 in. of water. After several hours, it contained 2 in. of water. What is the
percent decrease of water in the tank?
Answer:
75%
Step-by-step explanation:
To find the percent decrease, use the percent change formula:
(difference / original) x 100
8 - 2 = 6, so the difference is 6.
Plug in the difference and original:
(6 / 8) x 100
= 75
So, the percent decrease is 75%
what is the volume
Answer:
The volume is 227.5
Step-by-step explanation:
The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5
Question 4
Measure the length of your selected line segment using the tools available in GeoGebra. Include measurements for both the image and the
prelmage, and enter your values in the table. Compare the measured values with the values you calculated in Question 3. Are the values equal?
Type an X in the appropriate box.
Answer:
Edmentum.
Step-by-step explanation:
God bless and enjoy. :)
Write the next three terms: 2,4,6,8,.
Answer:
10, 12, 14
Step-by-step explanation:
even numbers, just add 2 to previous answer
10, 12, 14............
Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time
Answer:
I needed help with this answer well, because im on it right now.
Step-by-step explanation:
I'm in algebra and I don't understand how to solve this equation or problem :(
Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and
the rest of the gang, too!) Adult tickets cost $17.95 and children's tickets cost $12.95. Disney
made $7355 from ticket sales from a total of 500 people that attended. How many adults and
how many children were at the breakfast?
176 adults 324 children
A. 8
B. 32
C. 16
D. 4
2. Determine the scale factor of a drawing if the scale is 1 inch = 4 feet.
Answer: Therefore the scale factor is 48 times.
Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4
the scale is 1 inch to 4 FEET.
Convert feet to inches
1 inch to 48 inches
So the ratio is 1:48
2) What is the distance between -5 and -3?
Answer:
2
Step-by-step explanation:
-5 - (-3)
-5 plus 3
|-2|
2
What is the completely factored form of x2 - 64/?
Answer:
(x-8)(x+8)
Step-by-step explanation:
Answer:
(x + 8)(x − 8)
Step-by-step explanation:
Graph this Compound Inequality: x 9.8
Answer:
Step-by-step explanation:
The middle of 9 and 8
Help please ? What’s the inequality?
9514 1404 393
Answer:
-1 < x < 5
Step-by-step explanation:
The open circle at -1 and the shading to its right tells you ...
-1 < x
The open circle at 5 and the shading to its left tells you ...
x < 5
Both of these are true together, so the compound inequality representing that is ...
-1 < x < 5
_____
Additional comments
If the circle were filled, the relation would include the "or equal to" case: ≤.
I like to use the "left-pointing" relation symbols (<, ≤) because they put the numbers and variables in the same relationship they are on the number line. That is, -1 is on the left end of the shaded segment; the shading (variable value) is in the middle, and 5 is on the right end--the same as ...
-1 < x < 5
Help with trigonometry homework
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss books, how many total books does she have?
Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
Simplify the expression 4x^3 x 2x^3
Answer:
8x^6
Step-by-step explanation:
Brainliest
Jodi owes $38,000 in students loans for college. The interest rate is 7.25% and the loan will be paid off over 10 years. How much will Jodi pay TOTAL?
Answer:
Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.
Step-by-step explanation:
Solution:
P = $38,000, R = 7.25% and T = 10
I = P*R*T
I = (38000)*(.0725)*(10) = $27,550.00
Answer: Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.
Answer: Jodi will pay $65,550.00 in total.
Steps: 7.25% of $38,000 is $2,755.00
Multiply 2,755.00 times 10: 2,755 × 10 = 27,550
$38,000.00 + $27,550.00 = $65,550.00
Plz mark brainliest:)
Joe worked 8 hours less then Lou. Together they worked 72 hours. How many hours did each work?
Answer:
Joe=32 Lou=40
Step-by-step explanation:
72-8=64
64/2=32
32+8=40
Joe=32
Lou=40
Hope this helped:)
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
Which equations would be related to x - 7 = 38
Answer:
-7+x=38,
Step-by-step explanation:
what is the y intercept of y= -1/2x +3
Hurryplz!
Answer:
Y-intercept is 3
Step-by-step explanation:
Remember y=mx+b
b is the y-intercept
mx is the slope
How are rates ratios and proportions used in careers in the medical field
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand