Answer: 63
Step-by-step explanation:
From the question, we are informed that Steve sold 252 fruit basket for a school fundraiser while Evie aold 25 fruit baskets for each 100 baskets that Steve sold. This means that Evie sold 25/100 = 1/4 of what Steve sold.
Therefore, the number of fruit baskets sold by Evie will be:
= 1/4 × 252
= 63
5. What do you notice about the numbers in the last two columns of the table?
Answer?
Perform the operation and get
your answer in the form a + bi.
(5 – 2i)(5 + 2i)
[?] + [ ]i
Answer:
Step-by-step explanation:
(5-2i) ( 5+2i) = (5^2) - ((2i)^2) = 25 - 4i^2
= 25 - 4(-1) = 25 +4 = 29 + 0i
The Solution is 29 + 0i.
What are complex numbers?The sum of a real number and an imaginary number is called a complex number. A complex number is usually represented by z and has the form a + ib. Here, both a and b are real numbers. The real part, denoted by Re(z), is represented by the value "a," and the imaginary part, represented by "b," is represented by Im(z). Also known as an imaginary number, ib.
Given Expression (5 – 2i)(5 + 2i)
we know a² - b² = (a - b)(a + b)
(5 – 2i)(5 + 2i) = 5² - (2i)²
= 25 - 4i²
and i² = -1
= 25 - 4(-1)
= 25 + 4 = 29
since the solution has 0i
so the equation is 29 + 0i
where a = 29 and b = 0
Hence, equation is 29 + 0i.
Learn more about complex numbers;
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Find the value of X so that the function has the given value t(x)=3x; t (x)= 24
Answer:
here is your answer....
Step-by-step explanation:
lets take x as 8
t(8)=3*8
t(8)=24
Therefore:
we get t(x)=24 from equation t(x)=3x
Write an equivalent equation by combining like terms.
5x - 7y + 2x + 10y + 4
Answer:
7x+3y+4Step-by-step explanation:
A person invests $1000 in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches $3300
Answer:
20 years approx
Step-by-step explanation:
Step one:
given data
Principal= $1000
rate= 6%
Final amount A= $3300
Required
Time t
Step two:
the expression for the compound interest is given data
A= P(1+r)^t
t = ln(A/P) / r
substitute
t= ln(3300/1000)/0.06
t= ln3.3/0.06
t= 1.193/0.06
t=19.88 years
t= 20 years approx
what does k equal in the proportion k/4=33/20
Answer:
[tex]x = \frac{33}{5} [/tex]
or
[tex]x = 6 \frac{3}{5} [/tex]
or
[tex]x = 6.6[/tex]
Step by Step:
Step 1: Rewrite the equation (I used x instead of k.)
[tex] \frac{x}{4} = \frac{33}{20} [/tex]
Step 2: Make x a loner by moving the 4 to the right side.
[tex]4 \times \frac{x}{4} = \frac{33}{20} \times 4 [/tex]
Step 3: Cancel multiplied terms on the left, multiply numbers on the right.
[tex]x = \frac{165}{100} [/tex]
Step 4: Simplify.
[tex] x = \frac{33}{5} [/tex]
Help plssssssssssssssssss
Answer:
131.2 ft
Step-by-step explanation:
12.8*10.25=131.2
Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B) (–7,3) C) (3,–4) D) (1,4)
Answer:
Step-by-step explanation:
5x + y = 9
-10x + 7y = 18
10x + 2y = 18
-10x + 7y = 18
9y = 36
y = 4
5x + 4 = 9
5x = 5
x = 1
(1,4)
answer is D
Please and thank you
Answer:
is this free points. cuz why you said please and thank you?
Step-by-step explanation:
the quotient of 18 and a number a
Answer:
18÷n or 18a
Step-by-step explanation:
Lawrence is half as old as Jonathan. The sum of their ages is 54. How old is Jonathan?
Answer:
Jonathan is 36 years old.
Step-by-step explanation:
Jonathan=2 Lawrence
J= 2L
54 divided by 3 equals 18.
18 times 2 equals 36.
Hope this helped! :)
What is the difference of the polynomials?
EDGE MATH 2
Answer:
C
Step-by-step explanation:
It Adds up to X to the 10th power to x to the 2nd power. Subtract that and you get x to the 8th power. x to the 6th power and x to the 2nd power adds up to 8. therefore its C.
I need help i my math homework
Answer:
Domain: (-7, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -7 to 4. Since -7 is an open dot, it is exclusive in the domain. Since 4 is a closed dot, it is inclusive in the domain:
(-7, 4] or -7 < x ≤ 4
Find the length of the radius of the circle.
A)
2 inches
B
B)
3 inches
)
6 inches
D)
8.5 inches
Answer:
C) 6 inches
Step-by-step explanation:
(√72)² = x² + x²
72 = 2x²
72/2 = x²
36 = x²
√36 = √x²
6 = x
x = 6 inches
Answer:
By Pythagoras theorem, we get
[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]
C) 6 inches is the right answer.QL
Find the x- and y-intercepts of the equation.
-x + 2y = 4
O (4,0). (0,2)
O None of these
O (-4.0), (0.-2)
O (4.0), (0, -2)
O (-4.0), (0.2)
pls help
Answer:
Option 2: none of these
Step-by-step explanation:
-x +2y= 4
x-intercept occurs at y=0.
When y=0,
-x +2(0)= 4
-x= 4
x= -4
Thus, x-intercept is (-4,0).
y-intercept occurs at x=0.
When x=0,
0 +2y= 4
2y= 4
y= 4 ÷2
y= 2
Thus, y-intercept is (0,2).
*When writing coordinates, the x and y coordinates are separated by a comma in the bracket. If the 3rd option is a comma instead of a dot (which could instead denote a multiplication sign), it would be the correct option.
Simple math question. (Algebra)
Answer:
ill help you when u give me a question
Step-by-step explanation:
but tysm for the points
Denise doesn't describe tabletop with an area of 36 x 16 squared white boy squared units running expression to represent one side length of the table top
Step-by-step explanation:
Side length = √Area = √(36x¹⁶y⁴)
= √[(6x⁸y²)²] = 6x⁸y².
Hence the expression for side length is 6x⁸y².
The length of the side of the table top will be 6x⁴y².
Based on the information given, it was stated that the area of the table top was given in the question.
It should be noted that the area of a square is gotten by squaring the sides. Therefore, the length of the side of the square will be 6x⁴y².
Learn more about squares on:
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Please help me. My other question I need help on. 2- g(x)=x^2-4 is what is g(-3) 3- F(x)=3x+7 what is f(2) please help me please please
Answer:
[tex]g(-3) = 5[/tex]
[tex]f(2) = 13[/tex]
[tex](f + g)(x) = x^2 +2x- 1[/tex]
Step-by-step explanation:
Solving (a):
[tex]g(x) = x^2 - 4[/tex]
Required
Determine g(-3)
[tex]g(x) = x^2 - 4[/tex]
Substitute -3 for x
[tex]g(-3) = (-3)^2 - 4[/tex]
[tex]g(-3) = 9- 4[/tex]
[tex]g(-3) = 5[/tex]
Solving (b):
[tex]f(x) = 3x + 7[/tex]
Required
Determine f(2)
[tex]f(x) = 3x + 7[/tex]
Substitute 2 for x
[tex]f(2) = 3*2 + 7[/tex]
[tex]f(2) = 6 + 7[/tex]
[tex]f(2) = 13[/tex]
Solving (c):
[tex]f(x) = 2x + 3[/tex]
[tex]g(x) = x^2 - 4[/tex]
Required
[tex](f + g)(x)[/tex]
In functions:
[tex](f + g)(x) = f(x) + g(x)[/tex]
So, we have:
[tex](f + g)(x) = 2x + 3 + x^2 - 4[/tex]
Collect Like Terms
[tex](f + g)(x) = x^2 +2x- 4+3[/tex]
[tex](f + g)(x) = x^2 +2x- 1[/tex]
Tom, Brad, Angela, and Mona went to a theater. In how many different ways can they sit on four adjacent seats in a line in the theater?
Answer:
16
Step-by-step explanation:
4x4 = 16
A point (–7, –6) is rotated counterclockwise about the origin to map onto (–6, 7). The angle of rotation is
Question 18 options:
A)
180°.
B)
90°.
C)
270°.
D)
360°.
Answer:
C
Step-by-step explanation:
took the quiz and got it right
find the value
any help
A customer paid 3.5% sales tax on her purchase. How much sales tax did
the customer pay on a $14.00 purchase.
Answer:
49 cents, or 0.43
Step-by-step explanation:
3.5% x $14.00 = .43
Hope this helps!!
Let sugar be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 57 + 2.5x?
Select one:
a. The amount of calories in fruit juice increases by 57 for every one gram of sugar. The calorie amount estimated by this model is 2.5 if there are zero grams of sugar.
b. The amount of sugar in fruit juice increases by 2.5 grams for every one calorie. The sugar amount estimated by this model is 57 grams if there are zero calories.
c. The amount of sugar in fruit juice increases by 57 grams for every one calorie. The sugar amount estimated by this model is 2.5 grams if there are zero calories.
d. The amount of calories in fruit juice increases by 2.5 when there are zero grams of sugar. The calorie amount estimated by this model is 57 if there is one gram of sugar.
e. The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.
Answer: Choice E)
The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.
=============================================================
Explanation:
x = amount of sugar (in grams)
y = number of calories in the juice
ŷ = estimate of y, so its the estimate of calories in the juice
The regression equation rearranges to ŷ = 2.5x + 57
This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.
The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5
The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.
All of these facts point to choice E as the final answer.
Answer:
e.
Step-by-step explanation:
calories is y or response variable and sugar is the explanatory variable, x.
if x(sugar) is 1
y = 57 + 2.5(1) = 59.5, a 2.5 increase.
if it is 2
y = 57 + 2.5(2) = 62, another 2.5 increase.
if zero grams of sugar x = 0
y = 57 + 2.5(0) = 57 calories.
I will give brainiest to whoever answers correctly !!
Answer:
Step-by-step explanation:
The principal amount is
P=3000.
The time for which money is borrowed is ,
[tex]t=9 months[/tex]
The interest rate is ,
[tex]R=3\frac{1}{2}[/tex]
Determine the time in terms of year by division of time by 12.
[tex]t=\frac{9}{12} years\\= \frac{3}{4} years\\[/tex]
The formula for the interest is ,
[tex]I=\frac{P.r.t}{100}[/tex]
Substitute the known calues in the formula to obtain the value of interest.
[tex]I=\frac{3000.\frac{3}{4} .3\frac{1}{2} }{100} \\=\frac{3000.3.7}{2.4.100} \\=78.75\\[/tex]
So interest paid by the woman is $78.75
(b)
Determine the amount paid by the woman .
[tex]A=P+I\\=3000+78.75\\=3078.75[/tex]
So woman repay $3078.75 to the bank.
PLEASE MARK ME AS BRAINLIEST
this is urgent please help me. i’ve asked this question a couple times and no one is helping :/
Answer:
1.2
Step-by-step explanation:
You can see from the point on the graph that when x = -6, y = 1.2
simplify -5 + 3d + 6 - 4d
-5+3d+6-4d
anwers is 12/-30
Jeff read a total of 54 pages in his history and sociology text book he read 41 pages in his history text book how many pages he read in his sociology text book
Answer: 13 pages
Step-by-step explanation:
54 - 41 = 13
What is the equation of the line in slope-intercept form?
Answer:
y=1/2x-2
Step-by-step explanation:
RIse / run
find a point then go up one and right two to the next point which gives you 1/2
the y intercept is -2 because thats where the line is interceting
Which of the following best describes the equation y= -2/7x +12
A. Linear
B. Both linear and nonlinear
C. Nonlinear
D. Neither linear or nonlinear
Please I need help ASAP!!!!!!!
Answer:
D
Step-by-step explanation:
we are given 54x + 4.99x + 7.95
we can simplify like terms
58.99x + 7.95
It is D because in C it says "the actual delivery charge is $58.98" which is not true. It states in the question that it is "$7.95 for delivery", so it has to be D