Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2.
Answer:
The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8
Step-by-step explanation:
The complete question is
Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought a total of 14 peaches and bananas altogether. Determine the number of peaches and the number of bananas that Emily bought
Let
x ----> the number of bananas that Emily bought
y ----> the number of peaches that Emily bought
we know that
She bought a total of 14 bananas and peaches altogether
so
[tex]x+y=14[/tex] -----> equation A
She bought $20.80 worth of bananas and peaches
so
[tex]0.80x+2y=20.80[/tex] -----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (6,8)
see the attached figure
therefore
The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8
you want to leave a person a 25% tip. But how much of a tip would you leave her if your meal was $38.47
Answer:$48.09 please give brainliest!
Step-by-step explanation: you need to turn the percent to decimal so you move the decimal points to places to the right so the percent now is 0.25 so then you do 38.47 *0.25 =9.62 so then you add 9.62 +38.47 =48.09
Answer:
$9.62
Step-by-step explanation:
total cost= $38.47
tip = 25% = [tex]\frac{25}{100}[/tex]
=> tip = [tex]\frac{25}{100}[/tex] * $38.47
≈ $9.62 (to the nearest cent)
NOTE: the question is solely asking for the tip, therefore, there is no need to add the tip to the total.
Hope this helps :)
The sum of two numbers is 98. If four times the smaller number is subtracted from the larger number, the result is 18. Find the two numbers,
The larger number is
The smaller number is
Hey there!
Let's make a system of equations using x and y to find the two numbers.X is smaller and y will be larger.
x+y=98
y-4x=18
Now, let's solve the bottom equation for y so we can use substitution.
y=18+4x
Now we plug this into the first equation.
x+18+4x=98
5x+18=98
5x=80
x=16
Now, we plug this into the first equation to find y.
y=82.
So, the larger number is 82 and the smaller number is 16.
I hope this helps! Have a great day!
Find the value of x.
Answer:
x = 8
Step-by-step explanation:
Two secants drawn from an external point to the circle.
The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is
(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)
(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL
3x² - 12 = 3x² - x - 4 ( subtract 3x² - x - 4 from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
Write expression in simplest form (-11/2x+3)-2(-11/4x-5/2)=
Answer:
8
Step-by-step explanation:
-11/2x + 3 -2(-11/4x -5/2)
-11/2x + 3 + 11/2x + 5 use the distributive property
-11/2x + 11/2x + 8 combine 3 and 5
8 subtract the x
the answer is 8
6r3s–12r3–10r2s+20r2
Answer:
2(s+10r)
Step-by-step explanation:
The sides of a triangle are 9,11,13.The largest side of a triangle like this is 39.The other two sides of the second triangle are?
A) 18;22 B)27;33 C)3;11 3 D)48;50
Length of other two sides is 27:33
Option B
Step-by-step explanation:
Here we have , The sides of a triangle are in ratio 9:11:13.The largest side of a triangle like this is 39. Let's calculate other two sides of the second triangle:
[tex]9:11:13[/tex] is the ratio ,largest ratio value is 13 which represents largest side ratio whose length is 39 :
⇒ [tex]13x = 39\\[/tex]
⇒ [tex]x = \frac{39}{13}\\[/tex]
⇒ [tex]x = 3[/tex]
Now, other two sides are 9 x and 11 x
i.e. [tex]9x = 9(3) = 27[/tex]
[tex]11x = 11(3) = 33[/tex]
So, lengths of all the three sides are 27:33:39 . And, Length of other two sides is 27:33`
4.5(32 divided by 8) +12
Find the area of the triangle. Round your answer to the nearest thousandths.
A=1/2 bh
Answer:
Step-by-step explanation:
height of triangle=√(11²-8.6²)=√(11+8.6)(11-8.6)=√(19.6×2.4)
=√(4×4.9×4×0.6)=4√(4.9×0.6)=4√2.94
area of triangle=1/2 bh=1/2×2×8.6×4√2.94
=34.4×√2.94
≈58.984
There are 8 male teachers and 5 female teachers who teach English in the school. What is the ratio of the number of male teachers to the number of female teachers?
Answer:
8:5
Step-by-step explanation:
Given there are 8 male teachers and 5 female teachers,The ratio of number of male teachers to female teachers
= no. Of male teachers/no. Of female teachers
That’s
8/5
8:5
8:5 = 160%
theres not really an explanation to this hope it helps :)
Need answer for this please
Answer:
Learning about functions vs. new language
Step-by-step explanation:
They both follow strict laws (typically stricter for functions).Practice makes perfect: both can be learned to points of practical perfection.The brain must first attribute meaning or value to elements of either in order to build a learning pattern.Rene’s parents have put a half hour daily limit on how long the tv is watched in their house. What is the maximum number of hours that can be watched over 7 days if they stick to the limit?
Answer:
3.5
Step-by-step explanation:
30 · 7 = 210
210 ÷ 60 = 3.5
What is the area of this figure?
Problem setup:
The shape is way too complicated by itself, so I cut the shape into 5 different parts.
Please refer to the attached image or my answer will not make much sense.
Shape 1:
This is a triangle. The base is 3 and the height is 2. Thus, the area is:
[tex]A=\dfrac{1}{2}*3*2[/tex]
[tex]=3[/tex]
Shape 1 has an area of 3 square units.
Shape 2:
This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:
[tex]A=\dfrac{1}{2}*4*2[/tex]
[tex]=4[/tex]
Shape 2 has an area of 4 square units.
Shape 3:
This a unit square (the side lengths are 1).
Thus, Shape 3 has an area of 1 square unit.
Shape 4:
This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:
[tex]A=3*4[/tex]
[tex]=12[/tex]
Shape 4 has an area of 12 square units.
Shape 5:
This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:
[tex]A=4*2[/tex]
[tex]=8[/tex]
Shape 5 has an area of 8 square units.
Total shape:
Add the areas of all 5 shapes to find the area of the shaded figure.
[tex]A=3+4+1+12+8[/tex]
[tex]=26[/tex]
The figure has a total area of 26 square units.
Side notes:
There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?
Let me know if you need a hint or any clarifications, thanks!
~ Padoru
Mrs. Byrne's class went raspberry picking. The data show the weights of the cartoons of raspberries the students picked. Make a tally table and a line plot to show the data. 3/4, 1/4, 2/4, 4/4, 1/4, 1/4, 2/4, 3/4, 3/4
What is the difference in weight between the heaviest carton and lightest carton of rasperries?
Answer:
The difference is 3/4
Step-by-step explanation:
First, you look at the smallest and biggest amount. Then, you subtract! 4/4-1/4=3/4
An article reports that blue eyed people earn less than brown eyed people, with these numbers: average blue-eyed salary $35,000, average brown-eyed salary $37,000, p-value 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?
a. The results are nowhere near to being statistically significant.
b. The results are almost but not quite statistically significant.
c.The results are just barely statistically significant.
d.The results are strongly statistically significant.
A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
a.19
b.90
c.100
d.10! (10 factorial)
Answer:
a.
Step-by-step explanation:
A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. It indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null is correct (and the results are random). Therefore, we reject the null hypothesis, and accept the alternative hypothesis.
------------------------
First question:
The first question involves the test of an hypothesis.
Tests have significance levels, which normally are either 0.01, 0.05 or 0.1. If the p-value is less than the significance level, the results are significant, while if they are more, the results are not significant.
In this question, the p-value is 0.45, which is considerably more than any significance level, meaning that the results are nowhere near to being statistically significant, and the correct option is:
a. The results are nowhere near to being statistically significant.
A similar problem can be found at https://brainly.com/question/22968227
------------------------
Second question:
The order in which the people are chosen is important, as the first and second person chosen have different roles, and thus, the permutations formula is used.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, there are 2 people from a set of 10, so:
[tex]P_{10,2} = \frac{10!}{8!} = 10\times9 = 90[/tex]
90 possible combinations, option b.
A similar problem can be found at https://brainly.com/question/24245547
Round 721295.198715 to the nearest ten.
To round 721295.198715 to the nearest ten, we increase the tens place from 9 to 0 due to the ones place being 5, resulting in 721300.
Explanation:To round the number 721295.198715 to the nearest ten, we should look at the digit in the ones place, which is 5. Since the ones digit is 5 or greater, we need to round up the tens place.
Therefore, the tens digit increases by one from 9 to 0, and all digits to the right of the tens place become zero.
Thus, 721295 rounds up to 721300 when rounded to the nearest ten.
Note that we ignore the decimal and its subsequent numbers because they do not influence the rounding of a number to the nearest ten.
An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax? Show your work.
a. solve the problem with the discount applied before the sales tax.
b. solve the problem with the discount applied after the sales tax.
c. compare your answers in parts (a) and (b). Explain
Answer:
$40 ; $43.20
Step-by-step explanation:
a) 50 * (1 - .20) = 50 * .8 = 40
b) 50 * (1 - .20) * (1 + .08) = 43.20
c) The sales tax increases the price from a by 8%
Answer:
a) 40 dollars
b) 43.20 dollars
c) In Part A the instructions tell you to find the 20% in the 50 dollars But in part B it tells you to solve the problem with the discount applied after the sales tax.
Step-by-step explanation:
A rope is cut into equal pieces, and 8 of the pieces are used to tie up
packages. The fraction below shows how much of the rope is left over
According to the fraction, into how many pieces was the rope cut?
A. 8
B. 11
C. 3
D. 5
Answer:A
Step-by-step explanation:
8 is the only equal number
Answer:
i believe its 8 :)
The sum of three consecutive integers is -234 find the integers
Answer:
-77, -78, -79
Step-by-step explanation:
let one of the integers be x
since the integers are consecutive, the other 2 integers must be
(x+1) and (x+2)
given that sum of the integers is -234,
x + (x+1) + (x+2) = -234
x + x + 1 + x + 2 = -234
3x + 3 = -234 (subtract 3 from both sides)
3x = -234-3
3x = -237 (divide both sides by 3)
x = -237 / 3
x = -79 (answer)
hence the other two numbers are
(x + 1) = -79 + 1 = -78 (answer)
and
(x+2) = -79 + 2 = -77 (answer)
Answer:
Step-by-step explanation:
let the first integer is 'x', and by adding 1 in it we get the second integer that is 'x+1', and for third integer we need to add 1 in the previous integer i.e. is 'x+1' we get 'x+2'. Now all three integers we have are
x,x+1 and x+2.
since sum or add all three integer we get -234. so
x+x+1+x+2=-234
x+x+x=3x, and 1+2=3
3x+3=-234
3x=-234-3
3x=-237
x=-237/3
now the first integer is -237/3 or -79,
second integer is -78 and third integer is -77.
for verification add all three to get -234.
-79-78-77=-234. hence proved.
1. Point is on the line . Find the measure of angle .
Answer:
180°
Step-by-step explanation:
Answer:180
Step-by-step explanation:
Which of the following are possible equations of a parabola that has no real solutions and opens downward?
y>= -(x+4)^2 - 2
y>= -(x+4)^2 + 2
y>= -x2-2
y>=(x-4)^2 + 2
y>= -(x-4)^2 - 2
Answer:
[tex]y = - {(x - 4)}^{2} - 2[/tex]
[tex]y = - {(x + 4)}^{2} - 2[/tex]
Step-by-step explanation:
The vertex form of a parabola is given as
[tex]y = a {(x - h)}^{2} + k[/tex]
If this parabola opens downward, then a<0.
This means for a function opening downward not to have a solution, the k value must also be negative and taking a square root of a negative number will not give real solution.
From the given options, examples of such functions are:
[tex]y = - {(x + 4)}^{2} - 2[/tex]
and
[tex]y = - {(x - 4)}^{2} - 2[/tex]
Answer:it’s y>=-(x+4)^2-2
Step-by-step explanation:
I checked it in my graphing calculator and it works. I’m also doing the program sooo
What is the positive solution to the equation 2x^2+25=73
Step-by-step explanation:
Because 1. x =(5-√73)/4=-0.886and the other one is 2. x =(5+√73)/4= 3.386
Final answer:
The positive solution to the equation 2x² + 25 = 73 is x = √24, which is approximately 4.9.
Explanation:
The student is asking for the positive solution to the equation 2x² + 25 = 73. To solve this, we first isolate the quadratic term by subtracting 25 from both sides of the equation, resulting in 2x² = 48. Then, we divide both sides by 2, simplifying to x² = 24. Taking the square root of both sides gives us two solutions, x = √24 and x = -√24. Since we're seeking the positive solution, we take the positive square root, which yields x = √24 or about 4.9.
Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−16x+1 .
Simplify 5(x - 6).
5x - 30
O-X
5x - 6
Answer:
[tex]5x - 30[/tex]
Step-by-step explanation:
We want to simplify
[tex]5(x - 6)[/tex]
We use the distributive property of real numbers which says that:
[tex]a(b + c) = ab + ac[/tex]
We apply the distributive property to get;
[tex]5(x - 6) = 5 \times x - 5 \times 6[/tex]
This implies that:
[tex]5(x - 6) = 5 x - 30[/tex]
Therefore the correct answer is 5x-30
1.2 per 1000 delivery hospitalizations equals how many births
Answer:
1200
Step-by-step explanation:
1.2 * 1000
1200
Answer: 1200
Answer:
1200
Step-by-step explanation:
1.2 per 1000 delivery hospitalizations equals how many births?since they are 1.2 per 1000
= 1.2 * 1000
= 1200
Which of the following expressions is equivalent to that expression?
A.(n+4)^5
B.(n+4)^1/5
C.(n+4)^5/3
D.(n+4)^3/5
Option D:
[tex](n+4)^{\frac{3}{5}}[/tex] is the equivalent expression for [tex]\sqrt[5]{(n+4)^{3}}[/tex].
Solution:
Given expression:
[tex]\sqrt[5]{(n+4)^{3}}[/tex]
To find the equivalent expression for the given expression.
[tex]\sqrt[5]{(n+4)^{3}}[/tex]
Using radical rule: [tex]$\sqrt[m]{a}=a^{\frac{1}{m}}[/tex]
[tex]$=\left((n+4)^{3}\right)^{\frac{1}{5}}[/tex]
Using exponent rule: [tex]$\left(a^{b}\right)^{c}=a^{b c}[/tex]
[tex]$=(n+4)^{3 \cdot \frac{1}{5}}[/tex]
[tex]$=(n+4)^{\frac{3}{5}}[/tex]
[tex]\sqrt[5]{(n+4)^{3}}=(n+4)^{\frac{3}{5}}[/tex]
Hence [tex](n+4)^{\frac{3}{5}}[/tex] is the equivalent expression for [tex]\sqrt[5]{(n+4)^{3}}[/tex].
Option D is the correct answer.
How to solve -x+3y=4 ,3x+2y=-7
Answer:
x = -29/11 , y = 5/11
Step-by-step explanation:
-x+3y=4 ,..........(1)
3x+2y=-7 ............(2)
Solve simultaneously using elimination method
Multiply equation 1 by 3
It gives
-3x + 9y = 12
3x + 2y = -7..........(2) , add both equations
--------------------------
11y = 5
Divide both sides by 11
y = 5/11
Put value of y into equation (2)
3x +2y = -7
3x + 2(5/11) = -7
3x + 10/11 = '-7
Subtract 10/11 from both sides
3x +10/11 - 10/11 = -7 - 10/11
3x = -87/11
Divide both sides by 3
3x/3 = -87/11 ÷ 3
x = - 87/11 × 1/3
x = -29/11
Therefore x = -29/11 , y = 5/11
I hope this was helpful, please mark as brainliest
WILL GIVE BRAINLIEST!!!
Jack wants to determine the best-selling CD in his town. He surveys 30 shoppers as they leave the mall. What type of sampling is this?
What is 0.31111... as a fraction
Answer:
14/45
Step-by-step explanation:
The projected value (in millions of dollars) of a large manufacturing company is modeled by the function V(t) = 230(1.12)t, where V(t) is the value of the company t years after 2018. What does 230 represent in the function?
A) The growth factor of the company.
B) The value of the company in 2018.
C) The projected value of the company.
D) The value of the company after t years.
230 is the value of the company in 2018.
Option (B) is correct.
To find 230 represent in the function.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers.
It is given that:
The equation of a exponential growth function is equal to
[tex]V(t)=a(1+r)^{t}[/tex]
where,
V(t) is the value of the company
t is the number of years after 2018
a is the initial value or y-intercept
r is the rate of change
Put the value,
a=230
1+r=1.12
r=1.12-1=0.12
r=12%
so 230 is the value of the company when the value of t is equal to zero.
Remember that t is the number of years since 2018
Therefore ,230 is the value of the company in 2018.
Learn more about arithmetic here:
https://brainly.com/question/15196686
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