Cafeteria ratio of Swiss cheese to cheddar cheese is 15:17.
Perry’s ratio of Swiss chess to cheddar cheese is 5:7.
Wrong ratio because 5 * 3 = 15 but 7 * 3 does not equal 17.
For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if [tex]\frac {a} {b}[/tex]is a ratio, then the equality [tex]\frac {a} {b} = \frac {c} {d}[/tex] will be a proportion.
Then, 15 cups of Swiss cheese for every 17 cheddar:
1[tex]5:17\\\frac {15} {17}[/tex]
We want to verify the proportion:
[tex]15:17 :: 5: 7\\\frac {15} {17} = \frac {5} {7}\\7 * 15 = 5 * 17[/tex]
Equality is not met!
Answer:
You are not using the correct proportion
I need the measurement of each angle (please show work)
Answer:
∠E = ∠F = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x + x + 98 = 180 ( subtract 98 from both sides )
2x = 82 ( divide both sides by 2 )
x = 41
Hence
∠E = ∠F = 41°
Steve can jog 14 miles in 2 hours. At this rate, how many miles can he jog in 1/4 hour?
Answer:
1 3/4 miles in 1/4 hour.
Step-by-step explanation:
Write and solve an equation of ratios:
x (1/4) hr
--------- = ------------
14 mi 2 hr
Cross multiplying, we get 2x = (1/4)(14), or
x = (1/4)(7), or x = 7/4
Steve can jog 7/4 miles in 1/4 hour. That's 1 3/4 miles in 1/4 hour.
Answer:
Step-by-step explanation:
If your in k12 online school are exams at home online or a building
Answer:
a building
Step-by-step explanation:
Your exams? Probably at home, unless it’s AZmerit or CAmerit.
if the m∠2 = 40, what is the m∠5?
Answer: The answer is 100.
Step-by-step explanation: 40 divided by 2 = 20
x=20
20x5=100
Answer: answer is 140 on gradpoint.com
A lighting products company has put a new brand of solar lightbulbs on the market. The graph shows the estimated revenue, in millions of dollars, as the selling price of the lightbulb varies. What selling price is expected to produce the maximum revenue? A. $2 B. $8 C. $5 D. $3
Answer:
$5
Step-by-step explanation:
Answer:
the answer is 5$
Step-by-step explanation:
if F(x) = (1/8)(8^x) , What is F(3) ?
Substitute:
f(3) = (1/8)(8^(3))
Evaluating the function gives us the answer of 64.
f(3) = 64
A limited edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. What equation can be used to find the vale, y, after x years?
Answer:
y=3.11x
Step-by-step explanation:
Not sure if it's correct. But my reasoning behind it is that 23.81-20.70=3.11 which means every year the cost goes up by $3.11
Solve the equation. −4x+3=19
Answer:
[tex]\large\boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]-4x+3=19\qquad\text{subtract 3 from both sides}\\\\-4x+3-3=19-3\\\\-4x=16\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{16}{-4}\\\\x=-4[/tex]
Step 1: Combine like terms ( 3 and 19) by subtracting 3 to both sides
-4x + (3-3) = 19 -3
-4x = 16
Step 2: Isolate x by dividing -4 to both sides
[tex]\frac{-4x}{-4} =\frac{16}{-4}[/tex]
x = -4
Hope this helped!
30 points PLEASE HELP WITH MATH PROBLEM
From this triangle we know:
THE AREA:
[tex]A=80cm^2[/tex]
THE HEIGHT:
[tex]H=B+12[/tex]
We know that the area, height, and base of a triangle are related according to the following formula:
[tex]A=\frac{BH}{2} \\ \\ Substituting \ H: \\ \\ A=\frac{B(B+12)}{2} \\ \\ Substituting \ A: \\ \\ 80=\frac{B(B+12)}{2} \\ \\ 2(80)=B(B+12) \\ \\ 160=B^2+12B \\ \\ B^2+12B-160=0[/tex]
Solving B by quadratic formula:
[tex]B_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ B_{12}=\frac{-12 \pm \sqrt{12^2-4(1)(-160)}}{2(1)} \\ \\ B_{12}=\frac{-12 \pm \sqrt{12^2-4(1)(-160)}}{2(1)} \\ \\ B_{1}=8 \ and \ B_{2}=-20[/tex]
Since we can’t have a negative value of the base, the correct option is:
[tex]B=8cm[/tex]
11) How long will it take the water balloon to hit the ground?We must use the formula:
[tex]h(t)=-5.2t^2+v_{0}t+h_{0}[/tex]
Since James drops the balloon from a height of 45m, then this is the initial height, so [tex]h_{0}=45m[/tex]. Moreover, at the very instant he drops the balloon the initial velocity is zero, so [tex]v_{0}=0[/tex]. When the ballon hit the ground [tex]h(t)=0[/tex]. Therefore:
[tex]0=-5.2t^2+45[/tex]
Solving this equation:
[tex]5.2t^2=45 \\ \\ t^2=\frac{45}{5.2} \\ \\ t^2=8.653 \\ \\ t=\sqrt{8.653} \\ \\ t=2.941s[/tex]
Rounding to the nearest tenth:
[tex]\boxed{t=2.9s}[/tex]
Finally, the water balloon will hit the ground after 2.9 seconds.
12) Height and initial velocityWe have the equation:
[tex]h(t)=-16t^2+32t+12[/tex]
But we know that this equation follows the form:
[tex]h(t)=-16t^2+v_{0}t+h_{0}[/tex]
According to this:
The height of the platform is [tex]h_{0}=12ft[/tex]
The initial velocity of the ball is [tex]v_{0}=32ft/s[/tex]
To the nearest hundredth, what is the value of x?
42.16
43.11
52.07
54.26
There are 4 semi- trailer truck park a line at the stop. After the first truck, each in the line weights 2 tons more than the truck before it. The truck weight a total of 32 tons. How many pounds does each truck weight?
Let's say the first truck weighs x tons
Then, the weight of 2nd truck = x+2 tons
The weight of 3rd truck = (x + 2) + 2 = x+4 tons
The weight of 4th truck = (x + 4) + 2 = x+6 tons
Total weight of 4 trucks:
x + (x+2) + (x+4) + (x+6) = 32
which can be solved easily to give x = 5
Joelle bought 20 lollipops and 6 bags of Doritos for a total cost of $8.20. She knows that each lollipop cost 25 cents and reasoned that two bags of chip must cost a little more than $1.00. Is this a reasonable guess? Why or why not?
I mean... I think it's a reasonable guess because not gonna lie- chips can get expensive. BUT- It doesn't really make sense because like, she bought so many lollipops. My brain isn't really functioning to do the math- but my best guess would beeeee... UNreasonble. I'm super super sorry if it's wrong. Math isn't my strong point, sorry. Have a nice day!
Answer:
no
Step-by-step explanation:
because 20×.25 = 5 so the lollipop cost $5.00 and then you only have 3.20 left over
30 points for this question!| Mr. O’Hara found that on a recent trip his car used 12 gallons of gas to drive 396 miles. Assume that m represents the number of miles driven and g represents the number of gallons of gas used. What value makes the equation m=_*g represent the relationship between gallons of gas and miles driven?
Answer:
m = 33*g.
Step-by-step explanation:
The consumption of gas = 396 / 12
= 33 miles / gallon.
m = 33*g (answer).
What is the length of chord ST in P below
Answer:
A. 7 units
Step-by-step explanation:
Answer:
The correct option is A. The length of chord ST in P is 7 units.
Step-by-step explanation:
Given information: QR=7, distance between center and QR is 3.2 units and the distance between center and ST is 3.2 units.
If two chords are equidistant from the center of the circle, then the length of both chords are same.
From the given figure it is clear that the two chords QR and ST are equidistant from the center of the circle,so the length of both chords are same.
[tex]QR=ST[/tex]
[tex]7=ST[/tex]
The length of chord ST in P is 7 units. Therefore the correct option is A.
How do you solve this?
Answer:
There are 8 boys in the chorus and 16 girls in the chorus
The graph in the attached figure
Step-by-step explanation:
Let
x----> the number of boys
y----> the number of girls
we know that
[tex]y=2x[/tex] -----> equation A
[tex]x=y-8[/tex] ----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (8,16)
see the attached figure
therefore
There are 8 boys in the chorus
There are 16 girls in the chorus
WHich of the following correctly completes the square for the equation below ? X^2 + 2x=19
Answer:
See below.
Step-by-step explanation:
x^2 + 2x = 19
(x + 1)^2 - 1 = 19
(x + 1)^2 = 20.
Answer:
(x+1)2+2x=19
Step-by-step explanation:
i just did it on a p e x
Which of these is not random?
A. Getting recommended by a teacher
B. Choosing a card from a fair deck
C. Rolling a die
D. Flipping a coin
A. Getting recommended by a teacher
A getting recommended by a teacher the reason the reason why this is correct is because the teacher is not randomly picking you she already knows who she wants to recommend
What are the solutions to the system of equations? y=− x 2 +5x+6 −6x+y=6
(0,−1) and (6, 0)
(−1, 0) and (0, 6)
(0, 6) and (1, 2)
(−1, 0) and (6, 0)
Answer:
option B
(−1, 0) and (0, 6)
Step-by-step explanation:
Given in the question two equations,
Equation 1
y =−x² + 5x + 6
Equation 2
−6x + y = 6
plug value of y in second equation
−6x −x² + 5x + 6 = 6
-x² -6x + 5x +6 - 6 = 0
-x² - x + 0 = 0
-x² -x = 0
-x(x+1) = 0
x = 0
and
x = -1
plug value of x in second equation to find y
x = 0
−6(0) + y = 6
0 + y = 6
y = 6
and
x = -1
−6(-1) + y = 6
6 + y = 6
y = 0
Answer:
(−1, 0) and (0, 6)
Step-by-step explanation:
The given system of equations is
[tex]y=-x^2+5x+6[/tex]
and
[tex]-6x+y=6[/tex]
Solve for y in this second equation
[tex]y=6x+6[/tex]
We equate the two equations to get;
[tex]-x^2+5x+6=6x+6[/tex]
[tex]x^2+x=0[/tex]
[tex]x(x+1)=0[/tex]
x=0,x=-1
When x=0,
y=6(0)+6
y=6
When x=-1
y=6(-1)+6
y=0
What is (a+b)(a-b) equal
Answer:a squared-b squared
Step-by-step explanation:
Answer:
[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]
Step-by-step explanation:
This is a example of remarkable identities.
We know that the result of multiplication is called product and the values that multiply are called factors.
We call remarkable identities to certain algebraic expressions with binomial products very frequent in the calculation.
For this example, we got a Product of the sum for the difference of two binomials.
[tex](a+b)(a-b)[/tex]
The product of the sum for the difference of two binomials is equal to the square of the first quantity, minus the square of the second.
[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]
Demostration:
[tex](a+b)(a-b)= a^{2} -ab+ab-b^{2}=a^{2} -b^{2}[/tex]
.
Find m∠1 if m∠2=73°, m∠3=107°, m∠4=92°. Justify your response!
Answer:
92°
Step-by-step explanation:
The supplementary relationship between angles 2 and 3 means lines a and b are parallel. Since those lines are parallel, corresponding angles 1 and 4 are congruent.
m∠1 = m∠4 = 92°
Type the correct answer in each box. Consider the expressions shown below.
A -9x^2-2x+7
B 9x^2-2x+2
C 9x^2+2x-7
Complete the following statements with the letter that represents the expression.
(7x^2-5x+3)+(2x^2+3x-1) is equivalent to expression___ .
(3x^2-4x-4)+(-12x^2+2x+11) is equivalent to expression___ .
(4x^2-3x-9)+(5x^2+5x+2) is equivalent to expression ___ .
Answer:
B, A and C.
Step-by-step explanation:
(7x^2-5x+3)+(2x^2+3x-1) is equivalent to expression B .
(3x^2-4x-4)+(-12x^2+2x+11) is equivalent to expression A .
(4x^2-3x-9)+(5x^2+5x+2) is equivalent to expression C .
You combine like terms to arrive with the answer.
The answer is:
- The first operation match with the polynomial:
B. [tex]9x^{2} -2x+2[/tex]
- The second operation match with the polynomial:
A. [tex]-9x^{2}-2x+7[/tex]
- The third operation match with the polynomial:
C. [tex]9x^{2} +2x-7[/tex]
Why?In order to solve the given operations, we need to group the like terms.
Remember, like terms are terms that share the same variable and the same exponent.
For example:
[tex]x^{2} +2x^{2} +3x^{3} +2=3x^{2} +3x^{3} +2[/tex]
We only operate with the variables that shares the same exponent.
Also, we need to remember the distributive property:
[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
So, we are given the following polynomials:
[tex]A.9x^{2} -2x+7\\\\B. 9x^{2} -2x+2\\\\C. 9x^{2} +2x-7[/tex]
And we need to perform the following operations:
First operation,
[tex](7x^{2}-5x+3)+(2x^{2} +3x-1)=7x^{2} +2x^{2} -5x+3x+3-1\\\\7x^{2} +2x^{2} -5x+3x+3-1=9x^{2} -2x+2[/tex]
So, the first operation match with the polynomial:
B. [tex]9x^{2} -2x+2[/tex]
Second operation,
[tex](3x^{2}-4x-4)+(-12x^{2}+2x+11)=3x^{2} -12x^{2} -4x+2x-4+11\\\\3x^{2} -12x^{2} -4x+2x-4+11=-9x^{2}-2x+7[/tex]
So, the second operation match with the polynomial:
A. [tex]-9x^{2}-2x+7[/tex]
Third operation,
[tex](4x^{2} -3x-9)+(5x^{2} +5x+2)=4x^{2}+5x^{2} -3x+5x-9+2\\\\4x^{2}+5x^{2} -3x+5x-9+2=9x^{2} +2x-7[/tex]
So, the second operation match with the polynomial:
C. [tex]9x^{2} +2x-7[/tex]
Have a nice day!
Find the rate of change of the function h(x) = 2 x on the interval 2 ≤ x ≤ 4. The rate of change is a0.'
Answer:
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The rate of change of a linear function is the slope m
h(x) = 2x is a linear function with slope m = 2
Hence rate of change is 2
I need help ASAP.... please help....
Answer:
(7x-1)(x-3)
Step-by-step explanation:
7x^2 - 22x + 3
The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.
(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3
Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.
Answer:
(7x-1)(x-3)
Look in the photos. I hope this helps!
Let me know if you're unsure about anything! Thanks! :)
Find the area of the irregular figure
Answer:
B
Step-by-step explanation:
A(rectangle) = 14 * 21 = 294
A(triangle) = ((21 - 12) * 16) / 2 = 72
A(figure) = 294 + 72 = 366
Answer:
B 366 cm²
Step-by-step explanation:
Multiply 21 by 14 to find area of the rectangle
21 × 14 = 294
Subtract 12 from 21
21 - 12 = 9
Multiply 9 by 16
144
Divide 144 by 2 to get area of triangle
144 ÷ 2 = 72
Add 72 with 294 to get final answer
72 + 294 = 366
Answer: B 366 cm²
Find the arc length of the semicircle?
Answer:
5(pi) (exactly) or 15.7 (approximately)
Step-by-step explanation:
The length of arc of an entire circle is the circumference of the circle.
The length of arc of a semicircle circle is half of the circumference of the circle.
C = pi * d
For a semicircle:
arc length = 0.5 * pi * d
arc length = 0.5 * pi * 10
arc length = 5(pi)
arc length = 15.7
Find the volume of the rectangular prism
To find the volume of a rectangular prism, we use the formula
Volume = length × width × height.
Since the rectangular prism has a length of 4 m, a width of 2 m, and a height of 1 m we can plug this information into the formula.
(4 m) (2 m) (1 m)
4 m × 2 m = 8 m
8 m × 1 m = 8 m³
Therefore, the volume of the rectangular prism is 8 m³.
Answer:
8
Step-by-step explanation:
L=Length
W=Width
H=Height
L=4
W=2
H=1
4 x 2 x 1
4 x 2 = 8
8 x 1 = 8
Rearranging to check my work:
1 x 4 x 2
1 x 4 = 4
4 x 2 = 8
I was right.
Hope this answers your question.
What is the measure of B E
Answer:
8cm
Step-by-step explanation
In between AE and DE
line s passes through the points (2,7) and (6,1) line t passes through the point (5,2) and is perpendicular to line s what is the equation for line t
let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm what is the slope of line S anyway?
[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-7}{6-2}\implies \cfrac{-6}{4}\implies -\cfrac{3}{2} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{3}}}[/tex]
so, we're really looking for the equation of a line whose slope is 2/3 and runs through (5,2)
[tex]\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})~\hspace{10em} slope = m\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=\cfrac{2}{3}(x-5)\implies y-2=\cfrac{2}{3}x-\cfrac{10}{3} \\\\\\ y=\cfrac{2}{3}x-\cfrac{10}{3}+2\implies y=\cfrac{2}{3}x-\cfrac{4}{3}[/tex]
State if each angle is an inscribed angle. If it is, name the angles and the intercepted arc.
Answer:
Part 1) The inscribed angle is the angle ∠TRS and the intercept arc is the arc LST
Part 2) The inscribed angle is the angle ∠YWX and the intercept arc is the minor arc XY
Part 3) The inscribed angle is the angle ∠YXZ and the intercept arc is the arc YBZ
Part 4) The figure does not show an inscribed angle
Step-by-step explanation:
Part 1) The figure shown a inscribed angle
The inscribed angle is the angle ∠TRS
The intercept arc is the arc LST
Remember that
The inscribed angle measures half that of the arc comprising
so
∠TRS=(1/2)[arc LST]
Part 2) The figure shown a inscribed angle
The inscribed angle is the angle ∠YWX
The intercept arc is the minor arc XY
Remember that
The inscribed angle measures half that of the arc comprising
so
∠YWX=(1/2)[minor arc XY]
Part 3) The figure shown a inscribed angle
The inscribed angle is the angle ∠YXZ
The intercept arc is the arc YBZ
Remember that
The inscribed angle measures half that of the arc comprising
so
∠YXZ=(1/2)[arc YBZ]
Part 4) The figure does not show an inscribed angle
The figure shown a interior angle ∠BAC
May somebody help me with this question? (It’s number 3) I would really appreciate it ! :) it gives you up to 50 points
Answer: Option D.
Step-by-step explanation:
You need to remember that the circumference of a circle can be calculated with this formula:
[tex]C=2\pi r[/tex]
Where "r" is the radius of the circle and [tex]\pi =3.14[/tex]
In this case the distance 150 feet (From the edge of the track to the center of the circle) is the radius.
Since she walks her horse 4 times around the track, you need to multiply the circumference by 4 to calculate the approximate number of feet that she and her horse will travel:
[tex]C=4[2(3.14)(150ft)]=3,768ft[/tex]