Answer:
These results, 7 and 9, have a product of 63, as stated.
Step-by-step explanation:
Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.
Solve for x. Perform the indicated multiplication, obtaining
x^2 + 2x - 63 = 0
Solve this by factoring: (x + 9)(x - 7) = 0
Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
and plz get equation as well
The quotient of triple a number less four and five equals two. What is the number?
Answer:
14/3
Step-by-step explanation:
The quotient of triple a number less four and five equals two. What is the number?
"triple a number" means 3x, if we say x is the "number"
"triple a number less four" means (3x-4)
"quotient of [triple a number less four] and five equals two." means
(3x-4)/5 = 2
3x-4 = 10
3x = 14
x = 14/3
===
Does ((14/3)3 - 4)/5 = 2 ???
(14 - 4)/5
10/5 = 2 YES
What is the number?
Find the solutions to x2 = 24.
=
O A. x = +4,16
=
O B.
X =
< = +2.1/6
O C. X= = +62
O D. x= 1514
=
Answer:
[tex]x\approx\pm4.8989[/tex]
Step-by-step explanation:
[tex]x^2=24[/tex]
[tex]\sqrt{x^2}=\sqrt{24}[/tex]
[tex]x=\pm\sqrt{24}[/tex]
[tex]x\approx\pm4.8989[/tex]
3. You need to hire a taxi. Taxi A charges $9.25 plus $1.50 per mile. Taxi B charges $10.50 plus $1.25 per mile. Find the number of miles for which the total costs are the same for each taxi.
Answer:
five miles
Step-by-step explanation:
taxi A: for one mile: 10.75
taxi B: for one mile: 11.75
two miles: A: 12.25 B: 13
three miles: A: 13.75 B: 14.25
four miles: A: 15.25 B: 15.5
five miles: A: 16.75 B: 16.75
what does i^739 equal? explain how you found your answer.
========================================================
Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
-------------
Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
-i is the final answer--------------
Side notes:
if i^a = i^b, then a-b is a multiple of 4Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If she
must buy 5 ice cream cones, which inequality could
be used to determine the maximum number of
milkshakes she can buy?
Answer:
$7.50+m > $19
The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:
[tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]
The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.
The inequality can be between numbers or algebraic expressions.
In the given case,
Per unit cost of ice cream cone $1.50 Per unit cost of milkshakes $2.00 The total amount for spending is $19.00 Number of ice cream cones bought 5To determine the inequality for the number of milkshakes the inequality will be formed as follows:
The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.
Therefore, the inequality will be [tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]
To know more about inequality, refer to the link:
https://brainly.com/question/11897796
What is an expression that is equivalent to 4 (2x-3) -3x.
Answer:
5x-12
Step-by-step explanation:
4(2x-3)-3x = 8x-12-3x=5x-12
Answer:
5x-12
Step-by-step explanation:
identify the coefficient in the term 7x^2y^3
The coefficient in the term 7x^2y^3 is 7
The term of the expression or equation is given as:
7x^2y^3
For an expression represented as 2x, the coefficient is 2.
Similarly, the coefficient in the term 7x^2y^3 would be 7
Hence, the coefficient in the term 7x^2y^3 is 7
Read more about terms and coefficients at:
https://brainly.com/question/13602562
Type the correct answer in the box.
3 units
8 units
9 units
3 units
21 units
The area of the figure is
square units.
Plz help
Answer:
I think but not sure we read this question by 3 unit
6.2 + 0.4x = 8.05 as a decimal . do not round
[tex] \: \: \: \: [/tex]
[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
Step-by-step explanation:
[tex]6.2 + 0.4x = 8.05[/tex]
move the constant to the right[tex]0.4x = 8.05 - 6.2[/tex]
calculate[tex]0.4x = 1.85[/tex]
divide both sides[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
hope it helps[tex] \huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]
[tex] \bf \huge \: Solution:—[/tex]
[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]
[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]
[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]
[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]
[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]
[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]
[tex]\sf \longmapsto0.4x=1.85[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]
[tex] \boxed{\bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]
[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]
[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]
[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]
[tex]\sf \longmapsto0.0256x=0.1184[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]
[tex]\sf \longmapsto \: x = 4.625[/tex]
[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]
[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]
[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]
[tex]\boxed{\bf \dfrac{37}{8}} [/tex]
[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]
[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]
Which statement is true about the relationship between the amount of plant food remaining and the number of days
Answer:
This relationship is not a function because more than one amount of plant food remains each day.
Step-by-step explanation:
i hope this is correct but sorry if im wrong
what’s the distance between 4 and 20
Answer:
16
Step-by-step explanation:
The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)
Hey y’all, please help me
HELP ASAP PLEASE?!
The graph at the right shows Jeremy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
A) 350 miles
B) 400 miles
C) 500 miles
D) 550 miles
Answer: your anwser would be 500 c
Step-by-step explanation:
this is becuase for 1 hour it is 50 miles so you would multply 10 times 50 and get 500 please mark brainliest
Solve this system of equations using the Substitution method.
3x + y = -2
y = 2x + 3
Answer:
Step-by-step explanation:
we see that y = -3x-3
substitute that into the other equation to get
-3x-3 = 2x+7
-5x = 10
x = -2
so, y = -3(-2)-3 = 3
check to make sure (-2,3) solves both equations.
22= -11k what does k equal
Answer:
k = -2
Step-by-step explanation:
Divide 22 by -11 as well as -11k by -11
(You have to divide both sides by the number that k is to find your answer)
22 divided by -11 = -2
-11k divided by -11 = k
meaning you would get the answer of k = -2
use the slope formula to show work
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]
1
please help me :)
ty ty
Answer:
The slope is steeper and the line is shifted flatter.
Step-by-step explanation:
I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).
As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.
Therefore, if line A is to transform into line B, then its slope will be steeper.
Hope this helps you :)
Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.
100 points!!!!!!!!!!!!
Answer:
a)
Step-by-step explanation:
Answer: pretty sure it's d but I could be wrong
Step-by-stepStep-by-step explanation:
Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =.
The value of x and y are 5/6 and 8/5 respectively
Given the systems of equations
12x + 15y = 34 ...................... 1 *1 -6x + 5y = 3 ..................... 2 * 3Solving the equations using the elimination method
12x + 15y = 34
-18x + 15y = 9
Subtract both expressions:
12x-(18x) = 34 - 9
12x+18x = 25
30x = 25
x = 5/6
Substitute x = 5/6 into equation 1 to have:
12x + 15y = 34
12(5/6) + 15y = 34
10 + 15y = 34
15y = 24
y = 8/5
Hence the value of x and y are 5/6 and 8/5 respectively
Learn more on simultaneous equations here: https://brainly.com/question/185757
Determine the amount of the ordinary annuity at the end of the given period. (Round your final answer to two decimal places.)
$200 deposited quarterly at 6.9 for 6 years
Dont need steps…just the answer
Answer: $301.51 [recheck the answer]
Step-by-step explanation:
y = a(1+r/n)^nt
y = 200(1+0.069/4)^4*6
y = 301.505
please i need help asap
Answer: d. Shift units up
Step-by-step explanation:
f(x) = 3^x + 2 means that it must go up by two units.
PLEASE HELP ASAP!!!!
Answer:
I think its D? I'm not sure sorry if I get it wrong
Which is the better buy? Explain.
Cereal
Price
$4.32
12-ounce box
16-ounce box
$5.44
Help Me on this math equation
Answer:
uhhhh what grade level is dis?
Step-by-step explanation:
Help asap please!! Full work gets brainliest!!
Answer:
7,15,20
Step-by-step explanation:
Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.
7 , 15 and 20
7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle
7 + 15 = 22
22 > 20 is true so this might be the answer but lets check the other answer choices just in case.
( we do this same process to the other answer choices )
11 , 22 and 35
11 + 22 must be greater than 35 in order for these to be side lengths of a triangle
11 + 22 = 33
33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle
7, 16 and 23
7 + 16 must be greater than 23
7 + 16 = 23
23 > 23 , this is not true so this can't be the answer.
5 + 17 must be greater than 22
5 + 17 = 22
22 > 22 this is not true so this can't be the answer.
The answer is 7,15,20
The park charges $95.00 to reserve the location, and then $5.00
per person. Which expression represents the total cost for any
number of people n?
PLS HELP ITS DUE TMR
Answer:
95.00 + 5n
Step-by-step explanation:
It cost 95 dollars to reserve the location, first. Then, you have n amount of people coming and there is 5 per n, which is 5n. Therefore, 95 + 5n.
(PLEASS HURRY IM BEING TIMED)
(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:
(Giving Brainliest)
Looks like you have 2 similar triangles.
all the angles from one triangle are congruent to all the angles from the other triangle.
The sides must be proportional.
Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.
Cross multiply h to get 6*25 = 5*x.
Divide both sides of the equation by 5 to solve for x to get:
x = 6*25/5 = 6*5 = 30.
solve by elimination
Answer:
x
Step-by-step explanation:
equals 4 you can do rest
Which table of values would produce the graph shown above?
