Answer:
the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards
nine $5 gift cards and eleven $10 gift cards
or ten each of $5 gift cards and $10 gift cards
Step-by-step explanation:
From the information given:
You plan to buy a combination of $5 and $10 gift cards
You plan to buy exactly 20 gift cards and want to spend between $150 and $160.
The objective is to determine the possible combinations of $5 and $10 gift cards your club can purchase?
Let assume the g is the number of the $5 gift cards bought;
then (20 - g) will be the number of the $10 gift card bought.
Thus; the compound inequality for the amount spent between $150 and $160 will be:
= 150 ≤ 5g + 10(20 - g) ≤ 160
= 150 ≤ 5g + 200 - 10g ≤ 160
= 150 ≤ 5g -10 g + 200 ≤ 160
= 150 ≤ -5g + 200 ≤ 160
= 150-200 ≤ -5g ≤ 160 -200
= -50 ≤ -5g ≤ -40
Divide through by -5
= 10 ≥ g ≥ 8
= 8 ≤ g ≤ 10
Thus; the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards = i.e 8 ×$5 + 12 ×$10
= $40+$120
=$160
nine $5 gift cards and eleven $10 gift cards
= 9 ×$5 + 11 ×$10
= $45 + $110
= $155
or ten each of $5 gift cards and $10 gift cards
= 10 ×$5 + 10 ×$10
= $50 + $100
= $150
These combinations falls in between the range of $150 and $160.
Please write TWO expressions that are equivalent to 2(9j + 5). REMEMBER I NEED TWO EXPRESSIONS. ANSWER GETS BRANLIEST, 5IVE STARS, TEN POINTS, AND A THANKS.
Answer:
(2 × 9j) + (2 × 5) AND 18j + 10
Step-by-step explanation:
=> 2(9j+5)
Applying distributive property to expand the brackets
=> (2 × 9j) + (2 × 5) ← 1st Expression
=> 18j + 10 ← 2nd Expression
Help please solve this
RU is a diameter, so the two equations make half a circle which is 180 degrees.
24x+5 + 10x+5 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34
X= 5
RS= UV
RS = 10x +5
Replace x with 5
RS = 10(5) + 5 = 55
Answers:
X = 5
RS = 55
Please help me I will give BRAINLIST and a like
I rlly need help
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
Mo’s tyre pressure gauge shows a reading which is 12% higher than the actual pressure. What is the actual pressure when Mo’s gauge shows 38.64?
Answer:
34.5
Step-by-step explanation:
Given that :
112% = 38.64.
We need to calculate 100%
DO this by finding 1% then multiply that by 100.
112% = 38.64
1% = 38.64/112 = 0.345
100% = 34.5
Hope this helps.
Please mark brainiest
Using proportions, it is found that the actual pressure is of 34.5.
This question is solved by proportions, using a rule of three.The tyre pressure shown on the gauge, of 38.64, is 12% higher than the actual pressure, that is, it is 112% = 1.12 of the actual pressure. How much is the actual pressure x, which is 100% = 1?The rule of three is:
38.64 - 1.12
x - 1
Applying cross multiplication:
[tex]1.12x = 38.64[/tex]
[tex]x = \frac{38.64}{1.12}[/tex]
[tex]x = 34.5[/tex]
The actual pressure is of 34.5.
A similar problem is given at https://brainly.com/question/23536327
Major arc BLJ measures 249 degrees. Find the measure in degrees of
angle K.
2490
B
J
L
K?
K
Answer:
m∠K = 69°
Step-by-step explanation:
"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"
By this theorem,
m(∠K) = [tex]\frac{1}{2}[m(\widehat{LBJ}-m(\widehat{LJ})][/tex]
Here, [tex]m(\widehat{LBJ})[/tex] = 249°
[tex]m(\widehat{LJ})[/tex] = 360° - 249°
= 111°
m∠K = [tex]\frac{1}{2}(249-111)[/tex]
= [tex]\frac{138}{2}[/tex]
= 69°
Therefore, measure of angle K = 69° will be the answer.
Alex is 12 years older than George. Carl is three times older than Alex The sum of their ages is 68
find the ratio of George's age to Carl's age to Alex's age.
Answer:
1:12:4
Step-by-step explanation:
Let's say that George's age is x. That means that Alex's age would be x+12
Since Carl is 3 times older, Carl would be 3(x+12)
We put all those in the equation and get this:
x+ x+12 + 3(x+12)=68
2x+12+3x+36=68
5x+48=68
5x=20
x=4
George is 4 years old, Alex is 16, and Carl is 48
Divide every age by 4 to find the ratio
In order of George, Carl, and Alex:
1:12:4
Answer:
1 : 12 : 4.
Step-by-step explanation:
Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.
Alex is 12 years older than George, which means that a = g + 12.
Carl is three times older than Alex, which means that c = 3a.
The sum of the ages is 68, meaning that a + g + c = 68.
Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.
That way, we can put it all together...
(g + 12) + g + (3g + 36) = 68
g + g + 3g + 12 + 36 = 68
5g + 48 = 68
5g = 20
g = 4
Now that we have George's age, we can calculate the others!
a = g + 12
a = 4 + 12
a = 16
Now that we have Alex's age, we can calculate Carl's!
c = 3a
c = 3 * 16
c = 48
To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!
The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.
4 : 48 : 16
To simplify, divide all three numbers by 4.
1 : 12 : 4.
You can no longer simplify, so there is your answer!
Hope this helps!
The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.How many students in the survey said that math was their favorite subject?
Answer:
Im pretty sure its D- 123
Step-by-step explanation:
Edg 2020
Factor completely 4x2 − 8x + 4. A Prime B 4x(x2 − 2x + 1) C 4(x2 − 2x + 1) D 4(x2 + 4)
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Answer:
4(x-1)(x-1)
4(x^2-2x+1) C
Step-by-step explanation:
4x^2 − 8x + 4 common factor 4
4(x^2-2x+1)
4(x-1)(x-1) or (4x-4)(x-1)
17.
Rewrite y =
16X - 32
- 3 to make it easy to graph using a translation. Describe the graph.
Answer:
y=16x - 35
graph is in the pic
Answer:
Parent Function:
y=√x
Horizontal Shift: Right 2 Units
Vertical Shift: Down 3
Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
Step-by-step explanation:
HELP ME PLEASE HELP ME HELP ME PLEASE
Answer:
no, because the remainder is 126Step-by-step explanation:
if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0
calculating remainder:
[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]
WILL BRAINLIEST IF ANSWERED IN 2 MINUTES
What is the y-intercept of a line that has a slope of One-fourth and passes through point (8, 3)? 1 3 5 11
Answer:
1
Step-by-step explanation:
[tex]y - 3 = \frac{1}{4} (x - 8) \\ y = \frac{1}{4} x - \frac{1}{4} \times 8 + 3 \\ \\ y = \frac{1}{4} x - 2 + 3 \\ \\ y = \frac{1}{4} x + 1 \\ equating \: it \: with \: y = mx + b \\ b = 1 \\ y - intercept = 1[/tex]
Answer:
1
Step-by-step explanation:
i just took the test
Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. A: a = 4 and b = 3 B: a = 3 and b = 2 C: a = 2 and b = 1 D: a = 1 and b = 4
Answer:
After solving this question correct answer is (A)
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then
central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle
central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]
Answer:
B. [tex]\frac{\pi }{2}[/tex] radians
Step-by-step explanation:
Edge 2021
ANYONE???????????????????
Answer:
D
Step-by-step explanation:
If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.
--------------------------------------------------------------------------------
Hope this helps you...
9/20 GREATEST COMMON FACTOR
Answer:
1
Step-by-step explanation:
Factors of 9 are:
1, 3, 9
Factors of 20 are:
1, 2, 5, 10, 20
The greatest common factor is 1.
In a sale normal prices are reduced by 10% Angelina bought a pair of shoes in the sale for £54 what was the original pricee of the shoes?
Answer:
£60
Step-by-step explanation:
Given that
The cost after reduction = £54
So, 90% = £54
We have to find 100%
To do so, find 10% and ,multiply that by 10
90% = £54
10% = 54/9 = £6
1005 = 6x10 = £60
Hope this helps,.
Please mark brainiest
A sphere has a volume of V=3600 in cubed. Find it’s surface area
Answer:
A≈1135.93
Step-by-step explanation:
Hope I help
Answer:
1136.6cm^2
Step-by-step explanation:
[tex]V = 3600\\V =\frac{4}{3} \pi\times r^3\\3600=\frac{4}{3} \times \frac{22}{7} \times r^3\\3600 =\frac{88r^3}{21} \\88r^3 =3600 \times 21\\88r^3 =75600\\\frac{88r^3}{88} =\frac{75600}{88} \\r^3 = 859\\\sqrt[3]{r^3} =\sqrt[3]{859} \\r = 9.51\\\\T.S.A = 4\pi\times r^2\\T.S.A = 4 \times 3.142\times 9.51^2\\T.S.A = 4 \times 3.142 \times 90.4401\\T.S.A = 4\times 284.16\\T.S.A =1136.64[/tex]
Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the
side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the
maximum area Randy can enclose?
Answer:
The width (side perpedicular to the wall of the werehouse): x = 30 m
The lenght (side parallel to the wall of the werehouse): y = 60 m
Step-by-step explanation:
x - the width of the fenced area
Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:
y = 120 - 2x
Area of the fencing: A = x•y
A(x) = x•(120 - 2x)
A(x) = -2x² + 120x ← quadratic function
The maximum value of quadratic function occurs at: [tex]x=-\frac b{2a}[/tex]
a = -2 b = 120
[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]
y = 120 - 2•30 = 60
2) The marked price of a laptop is Sh.47500. Mimo bought the laptop after the shopkeeper allowed her a
discount of 5°. If the shopkeeper made a profit of 25%, calculate the price at which the shopkeeper
bought the laptop from the manufacturer.
(3 marks)
−6(x+7)=−4x−2 how many solutions
Answer: There is one solution, -20
Step-by-step explanation:
[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]
There is one solution, -20
Hope it helps <3
Answer:
Only one solutionStep-by-step explanation:
Solution,
[tex] - 6(x + 7) = - 4x - 2[/tex]
Distribute -6 through the parentheses
[tex] - 6x - 42 = - 4x - 2[/tex]
Move variable to L.H.S and change its sign
[tex] - 6x + 4x - 42 = - 2[/tex]
Move constant to R.H.S and change its sign
[tex] - 6x + 4x = - 2 + 42[/tex]
Collect like terms
[tex] - 2x = - 2 + 42[/tex]
Calculate the sum
[tex] - 2 x = 40[/tex]
Divide both sides of the equation by - 2
[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]
Calculate
[tex] x = - 20[/tex]
Hope this helps..
Good luck on your assignment..
When x= 12, y= 144. (a) Express y in terms of x. (b) Find the value of y when x= 7.
Answer:
see explanation
Step-by-step explanation:
Given x = 12, y = 144
We can see that y is 12 times the value of x, thus
(a)
y = 12x
(b)
when x = 7, then
y = 12 × 7 = 84
n chemistry, the pH of a solution is defined by: pH space equals space minus log space left square bracket straight H plus right square bracket, where H+ is the hydrogen ion concentration of the solution in moles per liter. Distilled water has a pH of approximately 7. A solution with a pH under 7 is called an acid, and one with a pH over 7 is called a base. Tomato juice has a hydrogen ion concentration of 10 to the power of negative 4.1 end exponent mole per liter. Find the pH of tomato juice. pH space equals space 4.9 pH space equals space 2.8 pH space equals space 3.5 pH space equals space 4.1
Answer:
The correct option is;
pH = 4.1
Step-by-step explanation:
The given information are;
The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]
The pH of a solution = -㏒{H⁺] = -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1
The pH of the of the tomato juice = 4.1
The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.
Isaac and Victoria share money in the ratio 2 : 5 Victoria recieve £6.60
work out the difference between how much money Isaac and Victoria receive?
Answer:
£3.96
Step-by-step explanation:
Data obtained from the question include:
Isaac's ratio = 2
Victoria's ratio = 5
Total ratio = 2 + 5 = 7
Amount Victoria recieve = £6.60.
Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:
Let T be the total amount of money shared.
Victoria received = £6.60
Victoria's share =
Victoria's ratio/total ratio x total amount
£6.60 = 5/7 x T
£6.60 = 5T/7
Cross multiply
5T = £6.60 x 7
5T = £46.2
Divide both side by 5
T = £46.2/5
T = £9.24
Therefore, the total amount shared is £9.24.
Next, we shall determine the amount received by Isaac. This is illustrated below:
Victoria's share = £6.60
Total amount shared = £9.24.
Isaac's share =?
Isaac's share = Total amount shared – Victoria's share
Isaac's share = £9.24 – £6.60
Isaac's share = £2.64
Therefore, Isaac received £2.64
Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:
Victoria recieve = £6.60
Isaac receive = £2.64
Difference = £6.60 – £2.64
Difference = £3.96
Therefore, the difference in the amount received by Victoria and Isaac is £3.96
16 - 4y when y is 4
Some plzzzzz helppppp!!!!
Answer:
0
Step-by-step explanation:
To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.
Answer:
Let 16-4y=0
Substracting 16 on both sides
16-16-4y=-16
-4y=-16
4y=16
y=4
Rebutting the value of y
=16-4(4)
=16-16
=0
Step-by-step explanation:
I hope this will help you :)
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?
Answer: 36
Step-by-step explanation:
Let the no. of biscuits be x
Peanuts will be 1/3x
So,
1/3x + 12 + 12 = x
1/3x + 24 = x
x + 72 = 3x
x-3x = -72
x = 72/2 = 36
Peanut biscuits will be 1/3 * 36 = 12
Total no. of biscuits baked were 12+12+12 = 36
simplify radical sign 0.08^12
Answer:
√0.08¹² = 0.08⁶
Answer:
[tex]0.08^6[/tex]
Step-by-step explanation:
[tex]\sqrt{0.08^{12}}[/tex]
The square root can be written as an exponent.
[tex]0.08^{12 \times 1/2}[/tex]
Multiply the exponents.
[tex]0.08^6[/tex]
. Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Your answer
6B. List an example that refutes Fracisco's statement. Show its product. Explain why it refutes his statement.
Your answer
6C. How could Francisco rewrite his statement so it is always true?
pls Help me
Answer:
6A) i) 5 and 3 product is 15
ii) (-5) and (-3) product is 15
6B. The product of 5·i and 3·i is -15
6C. When two or more real factors are multiplied and they have the same sign, the product is positive
Step-by-step explanation:
6A. To examples that support Francisco's statement are;
Given the factors that have the same sign;
i) 5 and 3 both positive
ii) (-5) and (-3) both negative
The products of each of the two factors are therefore;
5 × 3 = 15 (Positive product)
(-5) × (-3) = 15 (Positive product)
6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;
5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15
Therefore;
5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim
6C. Francisco could rewrite his statement as follows;
When two or more real factors are multiplied and they have the same sign, the product is positive
To make it always true.
cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest
Answer:
-1/8
Step-by-step explanation:
(-1/2)(-1/2)(-1/2)=-1/8
Answer:
[tex] \frac{ - 1}{8} [/tex]solution,
[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]
hope this helps...
Good luck on your assignment
A group of 4 friends have a bag of 49 sweets. They divide the sweets equally between them. a) How many sweets does each friend get? b) How many sweets are left over
Answer:
a) Each friend gets 12 sweets
b) There is 1 sweet left
Step-by-step explanation:
When you divide 49 by 4 you will get 12 with a remainder 1.
49 ÷ 4 = 12 R1
The remainder is the left over while the total result is how much each friend gets.
Answer:
A) 12
B) 1
Step-by-step explanation:
49 cannot be divided equally among the 4 friends but 48 can be divided.
A) So,
48/4 = 12 sweets
Each friend gets 12 sweets
B) 1 sweet is left