Answer:
5 toppings
Step-by-step explanation:
Given that :
Doug's pizza:
Sales price of pizza :$12 plus
Topping (t) = $3 per topping
Jake's pizza:
Sales price of pizza :$17 plus
Topping (t) = $2 per topping
To make their pizza the same price, how many topping needs to be on a pizza of each
12 + 3t = 17 + 2t
3t - 2t = 17 - 12
t = 5
5 toppings each
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
1. (3x + 7) + (8x + 2)
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
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Find y into the nearest hundredth place
Answer:
12.43ft
Step-by-step explanation:
From the given diagram, we simply apply the sin rule
According to the sine rule
=
y is the side y
y° = (90 - 43) = 47
z = 17
z° = 90
Input the parameters and solve;
[tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]
ysin 90 = 17 sin 47
y = 12.43ft
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)
Answer:
117 yd/1 x 3 ft/1 yd = 351 ft
Step-by-step explanation:
[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]
A runner sprinted for 351 feet.
Given that, a runner sprinted for 117 yards (yd).
How to convert yards to feet?To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.
Here, multiply the ratio 117/1 by 3/1.
That is, 117 × 3 =351 ft
Therefore, a runner sprinted for 351 feet.
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Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)
Answer:
5 sales is the answer now give brainliest
Answer:
He would have to make 5 sales.
Step-by-step explanation:
To write this as an inequality, you would write it as 20 + 6(x).
can you tell me the answer
Calculate the unit rate for each option of Takis, explain which option is better,
and why?
Answer:
they are better because they are cheeper than the other
What is the square root of 51.84
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
The price for a cell phone was reduced from $30 to $18. By what percentage was the cell phone reduced?
Answer choices:
25%
40%
15%
Answer: 40%
Steps: Forty percent of $30 is $18.
Plz mark brainliest:)
Answer:
25%
Step-by-step explanation:
What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
Answer:
2.1 * 10 ^3
Step-by-step explanation:
5.67 * 10 ^7 ÷2.7 x 10^4
Divide the numbers
5.67 / 2.7 =2.1
Divide the exponents
10^7 / 10 ^4
Remember when dividing power, we subtract the exponents
10 ^(7-4) = 10^3
Put this back together
2.1 * 10 ^3
Verify that this is in scientific notation
Since this is in scientific notation, we are done
Answer:
2.1x10 to the power of three
Step-by-step explanation:
\frac{5.67\times 10^7}{2.7\times 10^4}
2.7×10
4
5.67×10
7
Divide them.
\frac{5.67}{2.7}\times \frac{10^7}{10^4}
2.7
5.67
×
10
4
10
7
Divide numbers and 10's separeately.
2.1\times 10^3
2.1×10
3
Subtract exponents.
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.
Answer:
The cost increases by $8.50 for each person who attends the event.
Step-by-step explanation:
The company charges an initial fee of $45.00
The cost increases by $8.50 for each person who attends the event.
The correct options are B and C
As per the given data:
The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.
By comparing this equation with the slope intercept form y = mx + c
slope(m) = 8.50
We can find out the initial fee charged by the company by substituting
x = 0 {zero people}
y = 8.50(0) + 45.00
y = $45.00
For increase in cost with each person attending the event:
Cost for 2 persons - Cost for 1 person
= 8.50(2) + 45.00 - [8.50(1) + 45.00]
= 8.50(2) - 8.50(1)
= $8.50
This is the slope of the line
Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.
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NEED HELP PLEASE BEGGING PLEASE!!!!
Answer:
-54
Step-by-step explanation:
[tex]8(-9) - 6(-3)\\[/tex]
Multiply 8 by -9 and 6 by -3
[tex]-72 - (-18)[/tex]
Subtract[tex]Value = -54[/tex]
Hope this helps
plz mark brainliest
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
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Camillo needs 2,400 oz of peanut butter.
What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?
Answer:
1. 32
2. 75
3. 384
Step-by-step explanation:
I did the assignment, on EDGE2020 and got it correct
can a triangle have an exterior angle that is obtuse at two vertices? Explain
Answer:
Yes
Step-by-step explanation:
An obtuse triangle will have two obtuse angle at its exterior.
Take for instance, the angles in the triangle are 100, 40 and 40.
The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).
So, using the above analysis, we can conclude that the statement is possible.
lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?
Answer:
Oscar= 69
Step-by-step explanation:
92/4 = 23
23 times 3=69
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
Please do all for brainliest! It’s due in 1 hour!
Answer:
3x-7=17
3x=17+7
3x=24
x= 8
4) Tony pays $245 for a PS4. He decides to sell the PS4 with a 30%
markup. How much is Tony selling the PS4 for?
Answer:
175
Step-by-step explanation:
trust me .
Answer:
318.5
Step-by-step explanation:
30% of 245 is 73.5
245 + 73.5 = 318.5
A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
Help me out please I'll give brain list
Answer:
b
Step-by-step explanation:
hope this helps
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______
Answer:
16
Step-by-step explanation:
4 x 7 - 6 x 6/3
4 x 7 - 36 / 3
28 - 36 / 3
28 - 12
16
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right