15. A restaurant has one type of milk that has 2% fat and another that has 7% fat. how many quarts of each type does the restaurant need to make 40 quarts of a milk mixture that is 5% fat?

a. 24 quarts of the 2% milk and 16 quarts of the 7% milk
b. 16 quarts of the 2% milk and 24 quarts of the 7% milk
c. 16 quarts of the 2% milk and 16 quarts of the 7 milk
d. 24 quarts of the 2% milk and 24 quarts of the 7% milk,

Answers

Answer 1

B. 16 quarts of the 2% milk and 24 quarts of the 7% milk First, let's create an equation to solve. x = quarts of 2% milk (40-x) = quarts of 7% milk So we have the equation x*2 + (40-x)*7 = 40*5 Now to solve for x x*2 + (40-x)*7 = 40*5 x*2 + 7*40 - 7*x = 40*5 x*2 - 7*x = 40*5 - 7*40 -5*x = - 2*40 x = 2*8 x = 16 So we need 16 quarts of 2% milk and 40-16 = 24 quarts of 7%, which matches option "B".

Related Questions

The number of mosquitoes in anchorage, alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, start superscript, 2, end superscript, plus, 14, x how many centimeters of rain will produce the maximum number of mosquitoes?

Answers

m (x) = - x ^ 2 + 14x
To find the maximum function, the first thing to do is to obtain the first derivative:
m '(x) = - 2x + 14
We match zero:
0 = -2x + 14
We clear x:
x = 14/2 = 7
x = 7

We verify that this value is a maximum through the second derivative:
m '' (x) = - 2
m '' (7) = - 2 (<0 therefore it is a maximum)

Answer:
7 centimeters of rain will produce the maximum number of mosquitoes.

Answer:

Step-by-step explanation:

49 million misquitos

A map of a public park shows a circular pond. there is a bridge along a diameter of the pond that is 0.85 mi long. you walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. how much farther does your friend walk? round your answer to the nearest hundredth. use 3.14 for π.

Answers

To answer this question you will compare the distance you walked (0.85 miles) to the distance your friend walked ( half the circumference of the circle ; C = pi x d/2

Your friend walked 3.14 x 0.85/2 = 1.33 miles approximately

To find the difference in the distances, subtract 1.33 and 0.85.

1.33 - 0.85 = 0.48 miles

Your friend walked 0.48 miles further.

Answer:

Your friend walks about 0.48 miles farther than you.

Step-by-step explanation:

Find the circumference of the park.

C = πd Use the circumference formula.

C ≈ 3.14(0.85) Substitute for the diameter and π.

C ≈ 2.669 Multiply.

The circumference of the park is about 2.669 centimeters.

Find how far your friend walks when he or she walks halfway around the pond to meet you on the other side of the bridge. Divide the circumference by two.

0.785 ÷ 2 = 1.33

Your friend walks 1.33 miles.

Find how much farther your friend walks. Subtract the miles you walk from the miles your friend walks. Round your answer to the nearest hundredth.

1.33 − 0.85 ≈ 0.48

There were some pencils in a pencil box. Zoe added 7 more pencils to the pencil box. Now there are 24 pencils in the box. How many pencils were in the box to start with?

Answers

This problem can be solved using subtraction. We want to know how many pencils were in the box before the 7 pencils were added, so we must subtract 7 from 24.

24 - 7 = 17.

There were 17 pencils in the box to start with.

So if Zoe added 7 more pencils then all you have to do is just do the opposite

being the equation stated
X+7=24
X being the number of pencils before added

To find the answer just do the opposite
24-7=X
and X=17

Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the measure of DF

Answers

The measure off DF is 11.

In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.

DF=DT+TF=4+7=11.

First of all, we need to establish some known things. Let us call the radius r and the center of the circle R. Consider RD and then consider the 2 triangles DUR and DSR. We have that they have both a 90 degree angle (due to the tangency condition), they have DR common and also SR is equal to UR since both are equal to r. Hence, we have that the triangles are equal, thus, we have that DS=DU. Since DF=DU+UF, we have that DF=11

In which quadrant of the coordinate graph does point F lie?

Answers

It is in the fourth quadrant

The sign notations for four Quadrants is as follows:

Quadrant I : both x and y positive.

Quadrant II : x negative and y positive

Quadrant III: x and y both negative.

Quadrant IV: x positive and y negative.

Point F has coordinates (1,-5)

x is positive and y is negative.

So point F is in quadrant IV.

Find the product of (x + 7)2. (1 point)

x2 − 14x + 49

x2 + 14x + 49

x2 − 49

x2 + 49

Answers

General form for squaring a binomial is [tex] (a+b)^{2} = a^{2} + 2ab + b^{2} [/tex]
In this binomial, the a is x and b is 7 so plug in and chug:
[tex] x^{2} +2(x)(7) + 7^{2} [/tex]
[tex] x^{2} + 14x + 49[/tex] - Final answer

ANSWER

[tex] {(x + 7)}^{2} = {x}^{2} + 14x + 49[/tex]

EXPLANATION

The given expression is

[tex] {(x + 7)}^{2} [/tex]

We can rewrite this as,

[tex] = (x + 7)(x + 7)[/tex]

Recall that,

[tex](a + b)(c + d) = ac + ad + bc + bd[/tex]

This is called the distributive property.

We apply the distributive property to get,

[tex] {(x + 7)}^{2} = {x}^{2} + 7x + 7x + {7}^{2} [/tex]

This simplifies to

[tex] {(x + 7)}^{2} = {x}^{2} + 14x + 49[/tex]
The correct answer is B.

At the end of a factory assembly line, completed widgets are deposited into a box until it is filled. if after 10 minutes the box contains 25 widgets and it takes 2 hours total to fill up a box, how many widgets must each box hold?

Answers

in this question we are asked to calculate how many widgets a box can hold.
2 hours - 60 minutes / hour * 2 = 120 minutes
after 10 minutes - box contains 25 widgets
this means that it takes 10 minutes to fill - 25 widgets
in 1 minute - 25/10 widgets/minute
therefore within 120 minutes - 25/10 widgets/minute * 120 minutes
the number of widgets a box can hold - 300 widgets

Final answer:

Each box must hold a total of 300 widgets.

Explanation:

To determine how many widgets must each box hold, we need to calculate the rate of production and then use it to find the total number of widgets produced in 2 hours (the total time it takes to fill the box).

First, we'll find out how many widgets are produced per minute. Since 25 widgets are deposited in 10 minutes, we divide the number of widgets by the time (in minutes) to get the rate:

Rate of production = 25 widgets / 10 minutes = 2.5 widgets per minute.

Now, we need to find out how many minutes are in 2 hours:

2 hours = 2 hours * 60 minutes/hour = 120 minutes.

Finally, we multiply the rate of production by the total production time (in minutes) to find out the total number of widgets per box:

Total widgets per box = 2.5 widgets/minute * 120 minutes = 300 widgets.

Anybody have any answers?

Answers

Hello,

x+112=2*93
x=2*93-112
x=74

PLEASE HELP!!! 100 POINTS!!! WILL GIVE BRAINLIEST!!!!

Graph the two lines:
2x + 3y = 18
3x -4y > 16.

Give the Domain and Range, Slope, and Y-intercept for each line.

Graph each equation above on the graph below and show all work.( Or tell me how to graph it)

Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer.

2x + 3y = 18 3x -4y > 16
Slope-Intercept Form: Slope-Intercept Form:
Domain: Domain:
Range: Range:
Slope: Slope:
Y-intercept: Y-intercept:

Answers

ok so you're answer for the line
[tex]2x + 3y = 18[/tex]
DOMAIN IS ALL REAL NUMBERS
RANGE IS ALL REAL NUMBERS
SLOPE IS -2/3
Y INTERCEPT IS (0,6)
SLOPE INTERCEPT FORM
[tex]y = \frac{ - 2}{3} x + 6[/tex]

for the equation
[tex]3x - 4y > 16[/tex]
DOMAIN IS ALL REAL NUMBERS
RANGE IS ALL REAL NUMBERS
SLOPE IS 3/4
Y INTERCEPT IS (0,-4)
SLOPE INTERCEPT
[tex]y < \frac{3}{4} x - 4[/tex]

We are given this system of functions:
[tex]2x + 3y = 18[/tex]
[tex]3x -4y \ \textgreater \ 16[/tex]

They are written in standard form, [tex]ax+by=c[/tex], so our first step is to convert them into slope-intercept form, [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

We rearrange to basically solve for y in each function.

1) [tex]2x + 3y = 18 \\ 3y = -2y+18 \\ y= \frac{-2}{3}y+6[/tex]

2) [tex] -4y\ \textgreater \ -3x+16[/tex]
We divide by –4 to isolate y, but remember when multiplying or dividing with a negative number in an inequality, we flip the sign of the inequality.
[tex]y \ \textless \ \frac{3}{4}x-4[/tex]

This gives us our slope-intercept forms for each.

For the domain, each function is defined for all real x. This is a property of linear (and polynomial) functions. The inequality does not affect this.

The range, however, is a bit tricky. The range of a linear or polynomial function is always all real numbers y. It might be tempting to restrict it for an inequality, however, the range is still all reals.

In set-builder notation, we write for the domains of both functions: {[tex]x \ | \ all \ real \ numbers[/tex]}. For the ranges, we write {[tex]y \ | \ all \ real \ numbers[/tex]}.

In interval notation, we write [tex](- \infty, \infty)[/tex] for both the domain and range.

To obtain the slope and y-intercept, we look back to the functions in slope-intercept form, [tex]y=mx+b[/tex], again where m is the slope and b is the y-intercept.

For the equation, we have
[tex]m= \dfrac{-2}{3} [/tex]
and [tex]b=6[/tex].

For the inequality, we have
[tex]m= \dfrac{3}{4} [/tex]
and [tex]b=-4[/tex].

We can use the slope and y-intercept to graph each function. Remember that an inequality with less than or greater than (i.e., no "equal to" part) is represented with a dotted line.

To find where you shade the inequality, think about its sign. Since y is less than the expression, we shade below the line. We can also verify this by plugging in a test-point above or below the line and shading the region where the test-point is a valid solution.

See the graphed solution set attached.

1. Simplify (4xy^2)^3(xy)^5
2. Simplify (2t^–3)^3(0.4r)^2
Thank you whoever answers so much!,

Answers

The rules of exponents are:
multiplication=add the exponents
x^2.x^3=x^5
power=multiply the exponents
(x^2)^3=x^6

1. (4xy^2)^3(xy)^5
(64x^3y^6)(x^5y^5)
64x^8y^11
2. (2t^-3)^3(0.4r)^2
(8t^-9)(0.16r^2)
0.16r^2/8t^9 or r^2/50t^9

Note main rules:

[tex]1.\quad (a\cdot b)^n=a^n\cdot b^n,\\ \\2.\quad a^m\cdot a^n=a^{m+n},\\ \\3.\quad (a^m)^n=a^{mn}.[/tex]

1. Consider expression [tex](4xy^2)^3(xy)^5.[/tex] Using previous rules:

1 step: [tex](4xy^2)^3=4^3\cdot x^3\cdot (y^2)^3=64x^3y^{2\cdot 3}=64x^3y^6;[/tex]2 step: [tex](xy)^5=x^5\cdot y^5;[/tex]3 step: [tex](4xy^2)^3(xy)^5=64x^3y^6x^5y^5=64x^{3+5}y^{6+5}=64x^8y^{11}.[/tex]

2. Consider expression [tex](2t^{-3})^3(0.4r)^2.[/tex] Using previous rules:

1 step: [tex](2t^{-3})^3=2^3\cdot (t^{-3})^3=8t^{-3\cdot 3}=8t^{-9};[/tex]2 step: [tex](0.4r)^2=0.4^2\cdot r^2=0.16r^2;[/tex]3 step: [tex](2t^{-3})^3(0.4r)^2=8t^{-9}\cdot 0.16r^2=8\cdot 0.16t^{-9}r^2=1.28t^{-9}r^2.[/tex]

Answer:

[tex]64x^8y^{11};[/tex][tex]1.28t^{-9}r^2.[/tex]

Find all the zeroes of the equation. -3x4+27x2+1200=0 I need to learn how to do it! Just not the answer please

Answers

The first thing you should do for this case is to rewrite the expression.
To do this, divide both sides of the equation between -3.
We have then:
(-1/3) * (- 3x ^ 4 + 27x ^ 2 + 1200) = (- 1/3) * (0)
x ^ 4-9x ^ 2-400 = 0
Then, we rewrite the polynomial:
(x-5) * (x + 5) * (x ^ 2 + 16) = 0
From here, we obtain the four roots:
Root 1:
x-5 = 0
x = 5
Root 2:
x + 5 = 0
x = -5
Root 3 and root 4:
x ^ 2 + 16 = 0
x3 = -4i
x4 = 4i

Answer:
all the zeroes of the equation are:
x1 = 5
x2 = -5
x3 = -4i
x4 = 4i

The answer are the following:
x1 = 5
x2 = -5
x3 = -4i
x4 = 4i

Step 1:
We have the equation
(-1/3) * (- 3x ^ 4 + 27x ^ 2 + 1200) = (- 1/3) * (0)
x ^ 4-9x ^ 2-400 = 0

Step 2: Write it in polynomial equation
(x-5) * (x + 5) * (x ^ 2 + 16) = 0
(x-5) * (x + 5) * (x+4)(x-4) = 0

From the factored form, we can get the roots which are
5, -5, 4, -4

Julia surveyed her friends to find the number of hours they spend on homework during the week. The data from her survey is displayed in the first table. She then took a random sample of five responses from the population as shown in the second table. Compare the mean of the population with the mean of the given sample.

Population Data
4
5
3
1
3
2
2
3
5
7
3
6
3
0
1
5
0
4
3
6

Sample Data
5
4
6
2
1

What is the difference between the mean of the sample and the mean of the population?
0.2
0.3
0.4
0.5

Answers

Solution:

we are given with two kind of data set , one is Population data and the other is sample data.

we have been asked to Compare the mean of the population with the mean of the given sample.

Given Population Data
is

[tex] 4
, 5
, 3
,1
,3
,2,2
,3
,5
,7
,3
,6
,3
,0
,1
,5
,0
,4
,3
,6 [/tex]

Its mean can be calculated as below

[tex] Mean=\frac{4+5+3+1+3+2+2+3+5+7+3+6+3+0+1+5+0+4+3+6}{20} \\\\\Mean=\frac{66}{20}=3.3\\ [/tex]

Now the Sample data is

5,4,6,2,1

[tex] Mean=\frac{5+4+6+2+1}{5}\\\\Mean=\frac{18}{5}= 3.6\\ [/tex]

Hence the value of difference of the Mean is [tex] =3.6-3.3=0.3 [/tex]

Answer:

The answer is B. 0.3

Step-by-step explanation:

If you need any help, ask me! :)

What is the inverse of the following statement? If you live in Toronto, then you live in Canada

Answers

Answer: If you do not live in Toronto, then you do not live in Canada

---------------------------------------------------------------

You simply attach a "not" to each piece of the conditional. Effectively you are negating each part. The general form of a conditional is "If P, then Q" where P and Q are placeholders for statements.

In this case
P = you live in Toronto
Q = you live in Canada

The inverse of "If P, then Q" is "If not P, then not Q"

The inverse of the statement "If you live in Toronto, then you live in Canada" is:

"If you do not live in Toronto, then you do not live in Canada."

What is a conditional statement?

A conditional statement is a type of logical statement that consists of two parts: a hypothesis (or antecedent) and a conclusion (or consequent).

The hypothesis is a statement that serves as a condition, while the conclusion is a statement that follows from the condition.

A conditional statement is usually written in the form "If p, then q", where p is the hypothesis and q is the conclusion.

The symbol "→" is often used to represent the phrase "if...then".

We have,

To make the inverse of a conditional statement "if p, then q", you simply negate both the hypothesis and the conclusion, and then switch their positions.

The inverse of "if p, then q" is "if not p, then not q".

This can be symbolically represented as:

Original Statement: If p, then q

Inverse Statement: If not p, then not q

So,

The inverse of a conditional statement:

If p, then q is If not p, then not q".

Therefore,

The inverse of the statement "If you live in Toronto, then you live in Canada" is:

"If you do not live in Toronto, then you do not live in Canada."

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MATH HELP LEASE WILL GIVE BRAINLIEST!!!

What is the value of θ for the acute angle in a right triangle?

sin(θ) = cos(58°)

Question 4 options:

32°

58°

122°

29°

Answers

θ is complementary to 58°, so is 32°.

The 1st selection is appropriate.

a shop made a profit of £23500 in 2009. in 2010 the profit increased to £28000.work out the percentage increase in profit, to the nearest 1%

Answers

well, the increase is just £28000 - £23500, or £4500.

now, if we take 23500 to be the 100%, what is 4500 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 23500&100\\ 4500&p \end{array}\implies \cfrac{23500}{4500}=\cfrac{100}{p}\implies p=\cfrac{4500\cdot 100}{23500}[/tex]

PLEASE HELP ASAAAPPPPP

Answers

C. Because the vertical line is the y which ends up as 2 and your slope is 3. So: y=2*3^x

the answer is c
Hope this really helps

I understand that the remainder is 0, I kinda guessed and it told me.
But we're using long division or synthetic division.
Can you explain to me what the quotient is?
Thanks!

Answers

You need to add the x^4, x^3, x^2, and x term in there so you can have place holders to do the rest of the problem

You will have something like:
[tex] \frac{x^{5} + 0x^{4}+ 0x^3+0x^2+0x-32}{x - 2} [/tex]

Then you start the long division process

When you get done you will have [tex]x^4 + 2x^3 + 4x^2 + 8x + 16[/tex]
with a remainder of 0

Read the word problem. George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How many points does George have? What operations are needed to solve this word problem, and in what order should they be used?
addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order

Answers

For this case, the first thing we are going to do is define the following variables:
x: Sister points.
y: George's points.
We write the following mathematical equation:
y = 2 * (x-4)
His sister has 16 points:
y = 2 * (16-4)
y = 2 * (12)
y = 24

Answer:

How many points does George have?

George has 24 points.

What operations are needed to solve this word, and in what order should they be used?

subtraction and multiplication, in that order

D- subtraction and multiplication, in that order.

Step-by-step explanation:

EDG 2022

which sampling method would most likely be used in a poll of voters regarding a referendum calling for a national gun control standardization?
(A) Use satisfied random sampling
(B) Use simple random sampling
(c) Use convenience sampling
(D) Use cluster sampling
(E) Use systematic random sampling

Answers

The sampling method would most likely be used in a poll of voters regarding a referendum calling for a national gun control standardization is that Stratified Random Sampling. This method would use a strata or groups and samples are to be picked up by the researcher randomly.

Answer:

(A) Use stratified random sampling

Step-by-step explanation:

Since, the population include all the citizens of that country so it is quite large data and working on this population is quite time taken and costly. Thus, Sample must be taken and it must be taken by appropriate sampling method.

Here Stratified Sampling is used because by this sampling method peoples of every state, every cities, every village can be taken without much expense and in less time.

Further,

If the samples from the population are chosen randomly, where each and every unit has an equal chance of selection in a sample. This type of sampling is called Simple Random Sampling.

If the observers collect the sample as his\her convenience, then this type of sampling method is called Convenience Sampling.

In Cluster Sampling the population is distributed into a distinct group (clusters) and one or more groups (clusters) are chosen as a sample.

In Systematic Sampling the selection of sample is taken by some criteria . Like he\she is taken every 7th unit as a sample from the population.

True of False: If the measure of theta is A radians and B degrees, then A = 180B/pi. Please explain!

Answers

False.

A = B*π/180 . . . . the form in the statement uses the inverse of the proper conversion factor.

can someone check my work. I don't know what I did wrong

Answers

m∠1 = 51 - you're correct.

m∠2 = 34 - the sum of the interior angles of all triangles is 180 degrees. If you set the sum of all three interior angles equal to 180 and solve for the missing interior angle measure, you will get 34.

180 = 51 + 95 + x
180 = 146 + x
34 = x

m∠3 = 95 - you're correct.

m∠4 = 38 - you're correct.

m∠5 = 47 - you're correct.

To find m∠6, first find m∠7.

m∠7 = 59 - angle 7 is supplementary with the 121° angle; together they are 180 degrees. If you solve 180 = 121 - x for x, you see that m∠7 is 59°.

m∠6 = 74 - 180 (the sum of the interior angles of every triangle) minus the other two angle measures yields the measure of angle 6.

I hope you get the answer.

An artist wants to reduce the size of a drawing using a scale factor of 3:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box. in²

Answers

Ratio is 3:1 and the original area is 720. So 3/1 is equivalent to 720/x . X is the missing number. Set up like
3/1=720/x
Cross multiply you get 3x=720
Solve for x which is 720/3
New area is 240 square inches

Answer: The area of the new drawing is 240 in².

Step-by-step explanation:

Hi, to answer this we have to use ratios:

Since the ratios is 3:1, it means that 3 units are equal to 1: 3/1

So, 720 units will be equal to x : 720/x

3/1 = 720/x

Solving for x:

x = 720/ (3/1)

x = 720/3

x = 240 in²

The area of the new drawing is 240 in².

Feel free to ask for more if needed or if you did not understand something.

The perimeter of the rectangle is 64 cm. Find the value of x.

A. 7

B. [tex] \frac{64}{33} [/tex]

C. 32

D. 50

Answers

2(11 + 3x) = 64
11 + 3x =64/2
11 + 3x = 32
3x = 32 - 11
3x = 21
x = 21/3
x = 7

A.

The value of x is 7 and the right option is A. 7.

What is perimeter?

Perimeter is the total distance around an object.

To find the value of x, we use the formula of the perimeter of a rectangle.

Formula:

P = 2(L+W)............... Equation 1

Where:

P = Perimeter of the rectangleL = Length of the rectangleW = Width of the rectangle

From the question,

Given:

L = 3xW = 11 cmP = 64 cm

Substitute these values into equation 1 and solve for x

64 = 2(11+3x)64 = 22+6x6x = 64-226x = 42x = 42/6x = 7

Hence, the value of x is 7 and the right option is A. 7.

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Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −2, ordered pair: (−5,1)

Answers

y- 1 = -2 (x - (-5))

The equation of line is, y= -2x-9.

what is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope= -2

points= (-5, 1)

Now, using slope intercept form

y= mx+ b

1 = (-2)((-5) + b

1= 10 + b

b= -9

Thus, the equation of line

y= mx + b

y= -2x- 9

Hence, the equation of line is, y= -2x-9.

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A collection of quarters and dimes is worth $6.75. The number of dimes is 4 less than three times the number of quarters. How many quarters and dimes are in the collection?

Answers

the number of dimes are 35 and quarters 13.

Hope this helps!!:)
Have a good day!!:D
Plz mark brainliest!!XD

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true? The triangles are similar because they each have an interior angle with a measure 70°. The two triangles are not similar because x≠y . The two triangles are not similar because y=90 so it is impossible to have three congruent angles. The two triangles are not similar because the interior angles are congruent but the side lengths are different.

Answers

The two triangles are not congruent because y=90°, and therefore the angles from each triangle are not congruent to the angles from the other.

△ABC has interior angles with measures x°, 100°, and 70°.

By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.

[tex] x^{\circ}+100^{\circ}+70^{\circ}=180^{\circ} [/tex]

[tex] x^{\circ}=10^{\circ} [/tex]

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

[tex] y^{\circ}+70^{\circ}+20^{\circ}=180^{\circ} [/tex]

[tex] y^{\circ}=90^{\circ} [/tex]

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to y.

A rental company charges $9.50 per hour for a scooter plus a $15 fee. Write an equation in slope- intercept form for the total rental cost C of renting a scooter for h hours

Answers

Here is your answer,
C=$9.50h+15

PUTTING MAX POINTS

Find all polar coordinates of point P where P = (6, -π/5)

Answer choices:

(6, -π/5 + 2nπ) or (-6, -π/5 + 2nπ)
(6, -π/5 + 2nπ) or (-6, -π/5 + (2n + 1)π)
(6, -π/5 + (2n + 1)π) or (-6, -π/5 + 2nπ)
(6, -π/5 + 2nπ) or (6, π/5 + (2n + 1)π)

Answers

Your answer would be everything but (D) .

Your answer should be d

Using the similar triangles which equation could be used to find the slope of line AB

Answers

[tex]\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\qquad \stackrel{red~one}{\cfrac{m}{n}}=\stackrel{blue~one}{\cfrac{p}{q}}[/tex]

The equation that could be used to find the slope of line AB is m = p/q.

What are similar triangles?

Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal proportion.

Given that, is a graph showing two similar triangles, we need find the equation of the slope of the line AB.

So,

The slope = rise / run = Δy / Δx

Here, Δy / Δx = m/n

Since, the triangles are similar so, m/n = p/q

Therefore,

Δy / Δx = p/q

Hence, the equation that could be used to find the slope of line AB is m = p/q.

Learn more about similar triangles, click;

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Simplify 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n

Answers

The actual answer is 5.5n-0.5p-4

Final answer:

The simplified expression of 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n is -2 + 5.5n - 0.5p after combining like terms.

Explanation:

To simplify the algebraic expression 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n, we need to combine like terms. The constants 1 and -3 can be combined, and the terms with 'n' and 'p' can each be combined respectively. Let's do this step by step:

Combine the constants: 1 - 3 = -2.Combine the 'n' terms: 4.25n + 5/4n = (17/4)n + (5/4)n = (22/4)n = 5.5n.Combine the 'p' terms: (3/2)p + (-2p) = (1.5 - 2)p = -0.5p.

The simplified expression is -2 + 5.5n - 0.5p.

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