Answer:
No
Step-by-step explanation:
10x - 4
x = 2/5
Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.
Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?
An apple pie uses ____ apples and an apple tart requires____apples.
Answer:
An apple pie uses 7 apples and an apple tart requires 4 applesStep-by-step explanation:
Apple pie - p, apple tart - t
Set the system as follows:
p + 3t = 1910p + 10t = 110Solve by substitution, p = 19 - 3t:
10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4Find the value of p:
p = 19 - 3*4 = 19 - 12 = 7The equations are
x+3y=19--(1)10x+10y=110=>x+y=11---(2)Subtracting both equations
[tex]\\ \sf\longmapsto 2y=8[/tex]
[tex]\\ \sf\longmapsto y=4[/tex]
Put in equation (2)
[tex]\\ \sf\longmapsto x+4=11[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
HELP PLEASE!!!
Identify a point and two x intercepts to write the x-intercept form equation of each parabola.
x intercepts are 5 and 7
The third point I used was (6,-2); however, you can use any other point you want as long as it's not one of the x intercepts mentioned.
==========================================================
Explanation:
The x intercepts are 5 and 7, where the parabola crosses the x axis. Because of these roots, the two factors are x-5 and x-7.
We can think of the root x = 5 turning into x-5 = 0 after subtracting 5 from both sides. The same goes for x = 7 turning into x-7 = 0.
Put together, the two factors lead to (x-5)(x-7) and we get the equation y = (x-5)(x-7). Plugging either x = 5 or x = 7 into this equation produces y = 0.
-------------------
Notice that plugging in x = 6 leads to...
y = (x-5)(x-7)
y = (6-5)(6-7)
y = (1)(-1)
y = -1
However, the graph shows that x = 6 should lead to y = -2 instead. To fix this, we can stick a 2 out front like so
y = 2(x-5)(x-7)
y = 2(6-5)(6-7)
y = 2(1)(-1)
y = -2
The error has been fixed. As you can see, we need this third point to help nail down the parabolic equation. You can pick any other x value you want as long as it's not 5 or 7.
-------------------
Let's try another x value. Let's say we pick x = 8
y = 2(x-5)(x-7)
y = 2(8-5)(8-7)
y = 2(3)(1)
y = 6
We see that x = 8 leads to y = 6. This matches what the graph shows that (8,6) is a point on the parabola. I'll let you try other x values.
-------------------
In short, we used the roots 5 and 7 to generate the partial factorization (x-5)(x-7). Then we used a third point (6,-2) to help determine the coefficient out front which was 2.
So after using that point, we go from y = (x-5)(x-7) to y = 2(x-5)(x-7) which is the final answer. This is considered x-intercept form because we can quickly read off the x intercepts from this equation.
SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit
Answer:
The company filled 454570 bags.
Step-by-step explanation:
Find the value of x in the triangle shown below.
102
48
Answer:
The sum of the angles of a triangle is always 180, so the answer is
180-102-48=30
Step-by-step explanation:
Find a point-slope form for the line with slope
and passing through the point (-4,-7).
Answer:
[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (-4, -7)
Slope m = [tex]\displaystyle \frac{1}{5}[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - -7 = \frac{1}{5}(x - -4)[/tex]Simplify: [tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]At the local deli, David bought two ginger ales and two bagels for $6.60. Sumaiya bought four ginger ales and three bagels for $11.70.
Find the exact cost of one bagel and one ginger ale.
PLS HELP
Step-by-step explanation:
let the ginger ales be $x and the bagels $y.
Case 1, 2x+2y=6.60 x+y=3.30 ......1
Case 2, 4x+3y=11.70. .....2
1, x+y=3.30...×4
2, 4x+3y=11.70...×1
1, 4x+4y=13.20
2, 4x+3y=11.70
(-) (-) (-)
____________
y=1.50
____________
now, placing the value of y in equation 1,
x+y=3.30
x+1.50=3.30
x=1.80
therefore, the exact cost of one bagel and one ginger ale is $1.50 and $1.80 respectively.
hope this helps you.
how do i solve -3x--3+8x-24=6x+7-5x
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-3x--3+8x-24=6x+7-5x[/tex]
Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:
[tex]-3x+3+8x-24=6x+7-5x[/tex]
Add up similar terms:
[tex]5x-21=x+7[/tex]
Add 21 to both sides:
[tex]5x-21+21=x+7+21[/tex]
[tex]5x=x+28[/tex]
Subtract x from both sides:
[tex]5x-x=x+28-x[/tex]
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{28}{4}[/tex]
[tex]x=7[/tex]
To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.
Solve the inequality 2(4x – 3) ≤ 5x – 27
Answer:
( -7, ∞)
Step-by-step explanation:
2(4x - 3) ≥ 5x - 27
8x - 6 ≥ 5x - 27
3x - 6 ≥ -27
3x ≥ -27 +6
3x ≥ -21
x ≥ -7
All numbers great than -7
Find the cosine of angle U
Answer:
1st option
Step-by-step explanation:
cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]
A rhombus is a special parallelogram. Which are true about a rhombus that is not true about all parallelograms? Pick up to 3 answers. A. Diagonals create a right angle where they interesect B. All sides are congruent C. Diagonals bisect vertex angles D. Diagonals are congruent E. Opposite angles are congruent
The statement that is true about a rhombus that is not true about all parallelograms are as follows;
Diagonals create a right angle where they intersect All sides are congruent Diagonals bisect vertex anglesDiagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.
This is not true for parallelograms. The diagonal only bisects each other.
All sides are congruent for a rhombus .
This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.
The diagonal bisect the vertex angles of the rhombus.
This is not true for a parallelogram.
read more: https://brainly.com/question/4165249?referrer=searchResults
Which one is not a function? And why not ?
Answer:
the selected answer/2
Step-by-step explanation:
not a function because the same y has 2 different x values
dose anyone know the answers?
Answer:
Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think
Step-by-step explanation:
There are 495 pages in the mathematic book, from this 330 pages are included for the first term. Find the proportion of total pages to allotted pages in simplest form.
Answer:
330/495 = 2/3
the answer is 2/3
Answer:
3 : 2
Step-by-step explanation:
Total pages : allotted pages = 495 : 330
Find the HCF of 495 and 330
495 = 5 * 3*3*11
330 = 5 * 3 * 2 * 11
HCF = 5 * 3 * 11 = 165
Divide 495 and 330 by 165
495 : 330 = 3 : 2
PLZZZ HELP ASAP I NEED IT FAST!
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds
Answer:
9 pounds
Step-by-step explanation:
you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds
Nicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole liked her poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3 inches. What is the scale factor?
Answer:
1 feet = 12 inches3 feet = 36 inchesLarger of buttons dimension is 2 inches
Step-by-step explanation:
Can somebody help me with this. Thank you.
Answer:
There wasn’t any question posted
Step-by-step explanation:
The question was not posted, therefore there is no logical way to help you with the question.
The sum of two consecutive even integers is 122. What are the two numbers?
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62
(-5,1) and (-5,4) what is the slope of the line that passes through the given points
Answer:
Undefined
Step-by-step explanation:
I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:
[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]
And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.
Hopefully that's helpful! :)
Answer:
undefined
Step-by-step explanation:
(-5, 1) and (-5, 4) lie on the same vertical line.
A vertical line has undefined slope.
What is the slope of the line that passes through the ordered pairs(1,14)and(−5,−34)?
Answer:
The answer is 8!
Step-by-step explanation:
I took the quiz. Have a great day, hope this helps!
PLEASE HELP!
Use a compass and straightedge to complete the following construction Leave all construction marks. Having a sharpened pencil will allow for more precise arcs. Make sure that your construction marks are dark enough to see.
Construct a perpendicular line to the given line through the point on the line.
link to the plot: https://www.mathopenref.com/constperplinepoint.html
Answer:
draw a line straight down through p
If I have 4 magazines, and each magazines has 13 bullets, And there are 30 people in class and you need 4 bullets for each person. How many people get 4 bullets.
Answer:
13Step-by-step explanation:
4 magazines, and each magazines has 13 bullets:
4*13 = 52 bullets4 bullets for each person:
52/4 = 13 peopleThe local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply.
A.You can simplify the problem by calculating 33% of $100.
B.You should find the discounted price of the gear first.
C.The tax should be calculated on the original $100 price.
D.The discount should be calculated on the original $100 price.
Answer:
a, d
Step-by-step explanation:
Hope this helps
let me know weather it is right or wrong
Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, what is the cost of each CD?
Step-by-step explanation:
x = price per video game
y = price per CD
164 = 5x + 3y
and then we know
x = y + 12
now we can use this as substitute in the first equation :
164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60
104 = 8y
y = $13
x = y + 12 = 13 + 12 = $25
so, each CD costs $13.
What is the first time after midnight that all the digits on the display of a digital clock are prime numbers?
ggraph this function
Answer:
The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.
7. Write an inequality that matches the graph shown.
Answer:
To make an inequality its in the part that is shaded so
Step-by-step explanation:
(-2,-2) (-4,1) ETC
Simplyfy (4^7/5^2)^3
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
From E to B is 180°.
So when looking at angle ACB we get 65°
The angle ACE is equal to 180° - °65 = 115°
To show this is correct we have to add ACE and ACB and that should equal 180° which is true.
Answer:
115°
Step-by-step explanation:
normally straight lines are 180°
so angle ACF is already 90°
to find E, we need to subtract the 90°and the 65°
here it is: 180-(90+ 65)
= 25°
so finally ACE = 90° + 25°
= 115°
;)