Ava cannot spend more than $100 on food for a party. The lemonade will cost $19 and she wants to spend the rest on pizza. Each pizza costs $7.
How many pizzas can she buy?
Enter your answer in the box.
___ pizzas
Answer and Step-by-step explanation:
So for this question, we need to create an equation. We will use one of the most common forms of equations of math, which would be the linear equation of y=mx+b. The only difference is, we need to change the = to a ≥ symbol, meaning greater than or equal to, because the 100 dollars needs to be more or equal to the amount spent. But we cannot solve this problem until we know where everything goes.
So, the 100 is all she can spend, so this is where the ≤ comes in handy. She can use less than or equal to the amount of 100 dollars for the food for this party. And because she started out with 19 dollars, that can be added into the problem. So far we have:
100 ≥ __x + 19.
Now we need to find what the missing part of the equation is. But first let's change the x to p in this equation so that it is easier to understand. The p stands for the amount of pizzas purchased. Each pizza costs 7 dollars, so the equation should look like this:
100 ≥ 7p + 19. Now we solve for p.
-19 - 19 Subtract 19 from both sides to cancel out the positive 19 (+ 19).
81 ≥ 7p Divide 7 into 81 to single out p.
7 7 So p = 81/7. But we can't have 81/7 of a pizza, so we convert this to a decimal then round. So: 11.57142857… is the decimal form.
Now we need to round, because that is way too big. So, we round to the nearest whole number. So we look at the placement behind it (The tenths placement in this situation). Because the placement behind it (5) is on the 5 - 9 scale, the placement before it gets rounded up.
So, Ava can buy 12 pizzas.
I hope that this helps.
Answer:
12
Step-by-step explanation:
I Took The Test
6h + 16 = 46
Evaluate the equation
Answer:
h=5
Step-by-step explanation:
Answer:
6h +16 =46
6h +16-16
6h =30 6h ÷6 =30÷6
h =5
3x² + 3y² + 6x - 12 y = 6
Convert to standard form
Answer:
(y+2)²-(x+1)²/1=1
Step-by-step explanation:
No Clue what this is so I looked it up✓
Annika needs to sell at least 25 boxes of Girl Scout cookies to get a new badge she has already sold 4 boxes how many more does she need to sell
one step inequality word problems
(post deleted by author)
What are the rules of trichotomy???
Answer:
Step-by-step explanation:
The answer is in the attachment.
Besides this, there are more rules of trichotomy.
Answer:
Let us consider any two numbers 6 and 9 then we have the relation.
[tex] \gray{ \frak{9 > 6 \: \: \: or \: \: \: 6 < 9}}[/tex]
Rule 1.
Adding 2 on both sides then;
[tex] \frak{ \gray{9 + 2 > 6 + 2 \: \: \: or \: \: \: 6 + 2 < 9 + 2}}[/tex]
[tex]\frak{ \gray{ \therefore \: 11 > 8 \: \: \: or \: \: \: 8 < 11}}[/tex]
Both are true for addition.
Thus,when equal number is added to both sides of trichotomy symbol,the symbol remains the same.
Rule 2.
Subtracting 2 on the both sides then,
[tex]\frak{ \gray{9 - 2 > 6 - 2 \: \: \: or \: \: \: 6 - 2 < 9 - 2}}[/tex]
[tex]\frak{ \gray{\therefore \: 7 > 4 \: \: \: or \: \: \: 4 < 7}}[/tex]
Both are true for subtraction.
Thus,when equal number is subtracted to both sides of trichotomy symbol,the symbol remains the same.
Rule 3.
Multiplying both sides by 2 then,
[tex]\frak{ \gray{9 \times 2 > 6 \times 2 \: \: \: or \: \: \: 6 \times 2 < 9 \times 2}}[/tex]
[tex]\frak{ \gray{ \therefore \: 18 > 12 \: \: \: or \: \: \: 12 < 18}}[/tex]
Both are true for multiplication by positive numbers.
But if we multiplied by -2 then there will be,
[tex]\frak{ \gray{ - 18 > - 12 \: \: \: or \: \: \: - 12 < - 18}}[/tex]
These are not true.
To be true,there must be:
[tex]\frak{ \gray{ - 18 < - 12 \: \: \: and \: \: \: - 12 > - 18}}[/tex]
Thus,when both sides of trichotomy symbol are multiplied by equal positive number then the symbol remains the same.When both sides of trichotomy symbols are multiplied by equal negative numbers then the symbol changes as follows:
'<' Changes to'>' and '>' Changes to'<'.
Similarly check for division then get the same result as in multiplication.
Thus,when both sides of trichotomy symbol are divided by an equal positive number, the symbol remains the same.When both sides of trichotomy symbol are divided by an equal negative number,the symbol '<' is changed to'>' or '>' is changed to'<'.
[tex]\boxed{\frak{\gray{BrainlyFairy}}}[/tex]
The sum of two integers is 46. The larger is 16 more than four times the smaller. Find
the two integers.
Answer:
40 and 6
Step-by-step explanation:
PLSSS HELP DO 2.4.6 I will GIVE BRAINLIST ITS DO TMR
Answer:
2) 13/15
4) 11/12
6) 11/12
Answer:
#2)
To add fractions, we have to find the common denominator between the two fractions. For this one, it is 15; 5 has the least common multiple of 15 which shares with 3. So in order to make the first fraction have the denominator of 15, we have to multiply the numerator and the denominator by 3. We get 3/15. For the second, we have to multiply the numerator and denominator by 5. We get 10/15. Now that we have fractions with the same denominators, we just add the numerators together and then simplify. 3 + 10 = 13.
1/5 + 2/3 = 13/15
#4) & #6)
Repeat the above steps for each fraction to solve.
4) 11/12
6) 11/12
The accompanying data represent the wait time (in minutes) for a random sample of forty visitors to an amusement park ride. Complete parts (a) and (b).
Step-by-step explanation:
So basically when you have to calculate the quarters you need to first of all the data. So this modern number first and then so in this case will be 000 and so on. Then you have to find the position. So in this case you have Around 40 value. So In this case for example the first one will be the 10th value in this case. Day 20th In this case the 30th. So for example 25% of the data of the first party will be until six. So you know 25% of the others will be six or below six. 50% of the data will be in the 20th position. So it will be below nine Or nine and 75% of data will be below or equal to 16. 16. Anything couple of 16 will be in the top 25% and those are dancers. So this is a quick summary. Remember that you find these values When you calculate the 75% position. That in this case because you have 40 values that will be 30%. For the second quarter will be the 50% and for the first quarter will be the 25%. How do you know that? 1st? You need to sort all the data. So the first smallest bodies will be here from smaller to larger and then you find the relative position paid on this percentage.
please help me ..............................................................................
Hiyaaa! I'm Nat and I'm gonna help you~♡
Thermo means heat! So. Thermosphere has to relate to hot and warm things.
Meso meaning middle,or intermediate.
,
Thermosphere = is very hot,satellites travel here,reached out into spaceMesosphere= Directly under the stratosphere,is very cold,acts has a barrierHope this helps!!
Brainliest?
-Nat
If (3, y) lies on the graph of y = -(2^x), then y =
-8
1/8
-6
8(2x – 10) = 28
What is the steps to complete?
Answer:
6.75
Step-by-step explanation:
first let's simplify whatever is inside the parantheses
8(2x-10)=28
8*2(x-5)=28
16(x-5)=28
now we divide both sides by 16 to get rid 16
x-5 = 28/16
now move -5 to the right side
x = 28/16 + 5
x = 28/16 + 80/16 = 108/16 = 6.75
Kim says that multiplying 1/4 x 12 is the same as dividing 12 by 4.Do you agarre with kim?
Answer:
I do not agree with Kim.
Step-by-step explanation:
1/4 x 12 = 3
12 x 4 = 48
3 and 48 are not equal, therefore they are not the same, so I do not agree with Kim.
Hope this helps:)
What visualization is most appropriate to see if there is an association between birth and death rates during a given time interval
Bar chart visualization should be used if there is an association between birth and death rates during a given time interval.
Bar chartA bar chart is a chart that is used to represent data using rectangular bars with heights proportional to the values that they represent. Bar charts can either be vertically or horizontally.
Bar graphs are usually used when comparing two or more different things as well as their respective changes over time.
Bar chart visualization should be used if there is an association between birth and death rates during a given time interval.
Find out more on Bar chart at: https://brainly.com/question/24741444
2/3+1/4 in simplest form
Hey there!
2/3 + 1/4
= 2 × 4/3 × 4 + 1 × 3/4 × 3
= 8/12 + 3/12
= 8 + 3 / 12 + 0
= 8 + 3 / 12
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Four eighth graders solve the equation
x
3
−
150
=
66.
x3−150=66. The table shows the students’ answers.
Which statement is true?
Student
1
1 is correct because
72
3
−
150
=
66.
723−150=66.Student 1 is correct because 72 cubed minus 150 is equal to 66 point
Student
2
2 is correct because
6
3
−
150
=
66.
63−150=66.Student 2 is correct because 6 cubed minus 150 is equal to 66 point
Student
3
3 is correct because
18
3
−
150
=
66.
183−150=66.Student 3 is correct because 18 cubed minus 150 is equal to 66 point
Student
4
4 is correct because
7
3
−
150
=
66.
73−150=66.Student 4 is correct because 7 cubed minus 150 is equal to 66 point
Answer:
Student 2 is correct because 6 cubed minus 150 is equal to 66
Step-by-step explanation:
[tex]x^3-150=66[/tex]
[tex]\implies x^3=66+150=216[/tex]
[tex]\implies x=\sqrt[3]{216} =6[/tex]
In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of the L shaped figure is 258 ft²
Area
Area is the amount of space occupied by a two dimensional figure.
The area of a rectangle is given by:
Area = length * breadth
From the diagram, the area is:
Area = [18 * (21 - 12)] + (12 * 8) = 258 ft²
The area of the L shaped figure is 258 ft²
Find out more on Area at: https://brainly.com/question/25292087
Total Area = Area 1 + Area 2
Total Area = (18ft*9ft) + (21ft*8ft)
Total Area = 330ft²
I hope this helps!
solve 2x +5y =-24 2x+ y =-8
Answer:
[tex]x=-2, y=-4[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}2 * \frac{-24 - 5y}{2}+ y= -8\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-24-4y=-8\end{array}\right][/tex]
[tex]x=\frac{-24-5(-4)}{2}[/tex]
[tex]x=-2, y=-4[/tex]
Answer:
[tex]{x,y} = {-2,-4}[/tex]
Step-by-step explanation:
[tex]2x + 5y = -24 \\ 2x + y = -8[/tex] <---------- Linear equations given
Graphic Representation of the Equations : PICTURE
[tex]5y + 2x = -24 \\ y + 2x = -8[/tex]
Solve by Substitution :
// Solve equation [2] for the variable y
[tex][2] y = -2x - 8[/tex]
// Plug this in for variable y in equation [1]
[tex][1] 2x + 5*(-2x-8) = -24\\ [1] -8x = 16[/tex]
/ Solve equation [1] for the variable x
[tex][1] 8x = - 16 [1] x = - 2[/tex]
// By now we know this much :
[tex]x = -2 \\ y = -2x-8[/tex]
// Use the x value to solve for y
[tex]y = -2(-2)-8 = -4[/tex]
Solution :
[tex]{x,y} = {-2,-4}[/tex]
(-3x+5)(2x+4) in standard form step by step
Answer:
[tex]- 6 {x}^{2} -2x + 20[/tex]
[tex]( - 3x + 5)(2x + 4) \\ \\ = - 3x(2x + 4) + 5(2x + 4) \\ \\ = - 3x(2x) - 3x(4) + 5(2x) + 5(4) \\ \\ = - 6 {x}^{2} - { 12x} + {10x} + 20 \\ \\ = - 6 {x}^{2}-2x + 20[/tex]
Solution:
To simplify this expression, multiply the terms together....
(-3x + 5)(2x + 4)=> (-3x × 2x) + (-3x × 4) + (2x × 5) + (5 × 4)=> -6x² - 12x + 10x + 20=> -6x² - 2x + 20Hence, the simplified expression is -6x² - 2x + 20.
Hoped this helped!
please help. on zearn find the coordinates of each shape
Answer:
◯ ( 3, [tex]\frac{1}{2}[/tex] ) , ⬛( [tex]1\frac{1}{2}[/tex] ,[tex]2\frac{1}{2}[/tex]) , △( 0, [tex]4\frac{1}{2}[/tex] )
Step-by-step explanation:
x-coordinate y-coordinate
◯ --- 3 [tex]\frac{1}{2}[/tex]
⬛ --- [tex]1\frac{1}{2}[/tex] [tex]2\frac{1}{2}[/tex]
△ --- 0 [tex]4\frac{1}{2}[/tex]
Measure the unit grids on the graph, x and y, that's the x and y coordinate.
3 3/8 divided by 2 1/4 ILL GIVE BRAINLEIST
Answer:
I missed the part where that's my problem
Answer:
1 1/2
Step-by-step explanation:
Divide
3 and 3 over 83
3
8
÷ 2 and 1 over 42
1
4
= 108 over 72
108
72
find the equation of the line tangent to the graph of f at (1,4), where f is given by f(x)=2x^3-3x^2+5
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
First, find the derivative of f:
[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ 2x^3 - 3x^2 + 5\right] \\ \\ & = 6x^2 - 6x \\ \\ & = 6x(x-1)\end{aligned}[/tex]
Find the instantaneous slope at x = 1:
[tex]\displaystyle \begin{aligned} f'(1) & = 6(1)((1)-1) \\ \\ &= 0 \end{aligned}[/tex]
From the point-slope form, find the equation of the line:
[tex]\displaystyle \begin{aligned}y - y_1 & = m(x-x_1) \\ \\ y - (4) & =(0)(x-(1)) \\ \\ y & = 4 \end{aligned}[/tex]
In conclusion, the equation of the tangent line is y = 4.
A bucket can hold 5 gallons of water. About how many liters of water can the bucket hold? Round to the nearest tenth.
what's up? 5 gallons ≈ 19 liters (THIS IS U.S. GALLON, THE OTHER ANSWER HAS IMPERIAL GALLON IF THAT IS WHAT YOU NEED)
best of luck with your studies
75 POINTS
Provide the missing reasons for the proof.
Answer:
1. Given
2. definition of vertical angles
3. SAS triangle similarity theorem
Step-by-step explanation:
1. Given simply means the problem directly tells you it is true
2. Vertical angles are angles that share 2 lines and are congruent.
3. SAS triangle similarity theorem is the theorem that proves 2 triangles with a similar side, angle, and side (in that order) are similar.
The length of a rectangle is 3 metern .
more than triple the width
Gabriels spent $83.97 on three jackets. Each jacket costs the same amount. Write an algebraic equation to show the cost of one
jacket.
Total cost = number of jackets bought x price per jacket.
83.97 = 3x
Divide both sides by 3
X= 83.97/3
X = 27.99
price per jacket = $27.99
3. The sum of two numbers is at least 8, and the sum of one of the numbers and 3 times the
second number is no more than 15.
Graft
Answer:
Nope
Step-by-step explanation:
Sum of 2 numbers 4 +4 is at least 8 and the sum of of one of the numbers 2 + 2 and 2 + 3 x4. = 14
Is everything to the power of 0 = 1?
examples:
[tex]1^{0}, 2^{0}, 3^{0} .....[/tex]
Hey there!
Any numbers that is to the power of 0 is 1 because it’s just like the product just without any numbers that are given. Therefore, to answer your question: YES
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The price of an item has risen to $81 today. Yesterday it was $60. Find the percentage increase
Answer:
35% increase
Step-by-step explanation:
81 - 60 = 21
21/60 = 0.35
0.35 x 100% = 35%
= 35% increase
PLZ HELP ILL MARK AS BRAINLEIST
Answer:
c
Step-by-step explanation:
A=2πrh+2πr2=2·π·3·20+2·π·32≈433.53979
Answer number 1 please.
[tex] \sf {a}^{2} = {13}^{2} - {5}^{2} [/tex]
Formula :
Base²= Hypotenuse² - Perpendicular ²
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf {a}^{2} =169 - 25[/tex]
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf {a}^{2} =144[/tex]
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf {a} = \sqrt{144} [/tex]
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf {a} = \sqrt{12 \times 12} [/tex]
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf {a} = 12[/tex]
Remember the a² in formula has nothing to do with the a we have to find. :)
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given :-}}[/tex]
We have a right angled triangle whose two sides that is perpendicular and hypotenuse are 5 units and 12 units[tex]\bold{\underline{ Let's\: Begin:-}}[/tex]
According to the Pythagoras theorem, Pythagoras theorem states that the sum of squares of two small sides that is perpendicular height and base are equal to the square of longest side that is hypotenuseThat is,
[tex]\sf{\red{ ( Base)² + ( Perpendicular )² = ( Hypotenuse)²}}[/tex]
[tex]\sf{ ( a )² + ( b )² = ( c )²}[/tex]
Subsitute the required values,
[tex]\sf{ ( a )² + ( 5 )² = ( 13)²}[/tex]
[tex]\sf{ a² + 25 = 169}[/tex]
[tex]\sf{ a² = 169 - 25 }[/tex]
[tex]\sf{ a² = 144}[/tex]
[tex]\sf{ a = √144}[/tex]
[tex]\sf{ a = 12}[/tex]
[tex]\sf{\blue{ Hence,\: Length \:of \:a\: is \:12 units }}[/tex]