Answer:
The average cost of one mango = c = ₦8
Step-by-step explanation:
Let 'c' be the average cost of one mango
The original amount Idahtonye has = ₦50.00
The amount of mangoes Idahtonye buys = 6 mangoes
As he gets back the change of ₦2 after paying ₦50.00 to buy 5 mangoes.
Thus the equation becomes
50 - 2 = 6c
48 = 6c
dividing both sides by 6
48/6 = 6c/6
c = 8 ₦
Therefore, the average cost of one mango = c = ₦8
The local frozen yogurt shop determines the total cost of a cup of yogurt using the formula y = 2 + 0.75x, where x represents the number of ounces. If you can spend between $2 and $5, what is the DOMAIN of this situation
Answer: 0 ≤ x ≤ 4
Step-by-step explanation:
The cost equation can be written as:
y = $2 + $0.75*x
Where x is the number of ounces that you buy.
If you can spend between $2 and $5, then we have the inequality:
$2 ≤ y ≤ $5
replacing y by the above equation:
$2 ≤ $2 + $0.75*x ≤ $5
Now let's solve this for x.
$2 - $2 ≤ ($2 + $0.75*x) - $2 ≤ $5 - $2
$0 ≤ $0.75*x ≤ $3
now we can divide bt $0.75 in the 3 sides:
$0/$0.75 ≤ ($0.75*x)/$0.75 ≤ $3/$0.75
0 ≤ x ≤ 4
Then the domain is:
D: 0 ≤ x ≤ 4
or we can also write this as:
D = x ∈ [0, 4]
Simplify the expression. 14 + (-3) -3/7j - 6/7j + 6
Answer:
[tex]t^{14}[/tex] + 3 + − [tex]\frac{3j}{7}[/tex] + 7 + -[tex]\frac{6j}{7}[/tex]
Step-by-step explanation:
2/3 a -1/6=1/3
Solve the equation
Step-by-step explanation:
a=3/4
pls help me answering this question
Answer:
tell me the question.....
Please ASAP
Jacob combined watermelon, mangos, and blueberries to make a fruit salad. The expression 16p + 24c + 32w represents the total number of fruit in the mix. Jacob wants to divide the fruit salad into equal servings, but he does not know how many. Use factoring to write expressions that will help Jacob divide the fruit salad into 4 servings or 8 servings. So, you need TWO expressions: one expression for 4 servings and one expression for 8 servings.
Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.
Answer:
Opposite angles are congruent
Opposite sides are congruent
Step-by-step explanation:
There are two scarecrows in Mr. Martland's garden. The first scarecrow is 4.69 feet tall. The other scarecrow is 8.1 feet tall. What is the difference between the two scarecrows' heights?
Answer:
The difference between the two scarecrows' heights is 3.41 feet.
Step-by-step explanation:
To find the difference between the two scarecrows' heights, we have to subtract the height of the shorter one from the height of the taller one.
Hence, the difference between their heights would be (8.1 - 4.69) feet, which equals to 3.41 feet.
Hope this helped!
Answer:
3.41 FT
Step-by-step explanation:
Just subtract 4.69 from 8.1.
tricky the clown
which system of inequalities is shown in the graph
Answer:
The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C
Step-by-step explanation:
The equation of a vertical line is x = a, where a is the x-coordinate of any point on the lineThe equation of a horizontal line is y = b, where b is the y-coordinate of any point on the lineIn the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas
∵ The purple line is a vertical line
∵ It is cross the x-axis at the point (4, 0)
→ By using the first rule above
∴ The equation of the purple line is x = 4
∵ The purple line is solid and the shaded area left the line
∴ The sign inequality is ≤
∴ The inequality of the purple area is x ≤ 4
∵ The blue line is a horizontal line
∵ It is cross the y-axis at the point (0, 1)
→ By using the second rule above
∴ The equation of the blue line is y = 1
∵ The blue line is dashed and the shaded area above the line
∴ The sign inequality is >
∴ The inequality of the blue area is y > 1
∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.
image
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399
Answer:
C
Step-by-step explanation:
12568*.45 = 5655.6
c is best answer here
prove that
(pSinB-rcosB)2 +(rsinB+pcosB)2=p2+r2
Expand the binomials, then simplify, then invoke the Pythagorean identity:
(p sin(B) - r cos(B))² + (r sin(B) + p cos(B))²
= (p² sin²(B) - 2pr sin(B) cos(B) + r ² cos²(B)) + (r ² sin²(B) + 2pr sin(B) cos(B) + p² cos²(B))
= p² (sin²(B) + cos²(B)) + r ² (cos²(B) + sin²(B))
= p² + r ²
what is the slope between (-12, 1), (4,1)?
Answer:
[tex]m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-12, 1)
Point (4, 1)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{1-1}{4+12}[/tex]Subtract/Add: [tex]m=\frac{0}{16}[/tex]Divide: [tex]m=0[/tex]Answer:
zero; it is a horizontal line
Step-by-step explanation:
equation of slope: [tex]\frac{y1-y2}{x1-x2}[/tex] (-12, 1) (4, 1)
[tex]\frac{1-1}{-12-4}[/tex] = [tex]\frac{0}{-16}[/tex]
Because the numerator is zero, the slope of the line is zero. It is a horizontal line.
(Another Easy Question) Claire has 5 markers and Bob has 3, what is the ratio of Bob’s markers to Claire’s markers? Marking Brainliest for the first correct answer!
Answer:
3:5
Step-by-step explanation:
The lines in the graph of part A don't intersect at two whole numbers on the coordinate grid. Estimate the values of the solution to the nearest one-fourth of a unit. Then substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?
Answer:
The solution lies at approximately (4.25,6.5).
Step-by-step explanation:
The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.
Mr. Vaughn set aside $200 of his income each month for years toward home repairs. He spent 30% of the money he set aside to replace a broken water heater. How much of the money he set aside did Mr. Vaughn have left after paying for the water heater?
Answer:
The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.
Step-by-step explanation:
In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:
$200*30%=$60
Now, you have to subtract the amount that represents the 30% from the amount he set aside:
$200-$60=$140
According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.
whats the solution for 9+4n -79 PLEASE ANSWER
Answer:
I think this is the correct solution
A candy store uses a 50% markup on cost. Find out the owners cost of a candy bar that sells for $1.50.
Answer:
The owners' cost of the candy bar is $1
Step-by-step explanation:
Assume that the owners' cost of the candy bar is 100%
∵ The owners' cost of the candy bar is 100%
∵ The candy store uses a 50% markup on cost
∵ The selling cost = owners' cost + markup
∴ The selling cost = 100% + 50% = 150%
∵ The candy bar sells for $1.50
→ That means 1.50 is 150% of the owners' cost
∴ 1.50 = 150% × owners' cost
→ Change 150% to decimal by divide it by 100
∵ 150% = 150 ÷ 100 = 1.50
∴ 1.50 = 1.50 × owners' cost
→ Divide both sides by 1.50
∴ 1 = owners' cost
∴ The owners' costs = $1
∴ The owners' cost of the candy bar is $1
5/9 x 6/15 x 15/4=
Plz help
Answer:
5/6
Step-by-step explanation:
Sheldon can either take a train or an airplane to San Francisco. If the train takes 11 hours and 23 minutes and the plane takes 2 hours and 44 minutes, how much time would he save taking an airplane? ( __ hours & __ minutes)
Sheldon can either take a train or an airplane to San Francisco. If the train takes 11 hours and 23 minutes and the plane takes 2 hours and 44 minutes, how much time would he save taking an airplane? ( __ hours & __ minutes)
Answer: he would save (9) hours (44) minutes on an airplane.
Step-by-step explanation: its easy just subtract 11 &2 & you'll get 9 hours but you don't do anything with the 44 & 23 all you have to do is put down 9 - hours & 44 - minutes. it's a piece of cakeplease rate me with 5 stars & thank me & hit the little crown please and thank you and if you want to be friends we can just friend me please and thank you and your welcome!!!!
Expand & simplify
(9x - y) (9x + y)
Answer:
[tex]81x^{2}- y^{2}[/tex] this is the answer
Step-by-step explanation:
A store is having a summer sale where all prices are 25−30% off. If you want to buy a pair of shoes that costs $50.00, what could be the sale price for this pair of shoes? An 8% sales tax must be applied to the sale price. What would be the final cost of the pair of shoes, including the sales tax?
Answer:
Before Tax: $37.50 and $32.50
After-Tax: $40.50 and $35.10
Step-by-step explanation:
In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.
25% / 100 = 0.25
1 - 0.25 = 0.75
50.00 * 0.75 = $37.50
30% / 100 = 0.35
1 - 0.35 = 0.65
50.00 * 0.65 = $32.50
Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.
8% / 100 = 0.08
0.08 + 1 = 1.08
$37.50 * 1.08 = $40.50
$32.50 * 1.08 = $35.10
Help me classify the triangles by its sides and measuring its angles :)
Answer:
Triangle 1 : isosceles triangle
Triangle 2 : Right Triangle
Step-by-step explanation:
For the given figure, write the conclusion for the statements ∠XYZ ≅ ∠ABC and ∠CBD ≅ ∠ABC.
Question 6 options:
∠CDB ≅ ∠ABD
∠ABC ≅ ∠CDB
∠XYZ ≅ ∠ABD
∠XYZ ≅ ∠CBD
Answer:
<XYZ = <CBD
Step-by-step explanation:
I saw there wasn't an answer so here ya go, learned the hard way...
Answer:
<XYZ = <CBD
Step-by-step explanation:
this is the right answer I can confirm
time sensitive!! i really need help thanksss
Answer:
-x -y = 5
Step-by-step explanation:
the Answer will be 5
Determine the y-intercept of the line that passes through the points (3, 7) and has a slope of 2?
i need help, anyone ?
Please help. I will give 16 points.
Answer:
(4, -2)
Step-by-step explanation:
if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true
-2 = -3/4(4) + 1
-2 = -3 + 1
-2 = -2
1) P n Q'
2) P' U (Q n R)
A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused
Answer:
b) The average speed at which he travelled for the whole journey
Step-by-step explanation:
If he had travel 200- km/h and had broke down by which was at 10:30 a.m you would have to subtract 200 km/h to 10:30 your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640
Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)?
x=-15
x=-10
x=1
x= 15
Answer:
x=15
Step-by-step explanation: