Identify the like terms in the expression.

Answer:

It is 3.

Step-by-step explanation:

By looking at the sentences, you can translate the sentences to equations.

The sum of two numbers is 90, so this involves addition because the sum is the answer of an addition problem. x+y=90.

x is the larger number

y is the smaller number

The larger number is 14 more than or addition sign 3 times or multiplying the smaller number (y).

The equation would be x=14+3y because it is 3 times the smaller number.

Hope this helps!

Step-by-step explanation:

Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 (bring constant to 1 side)

(XZ)²= 3969 (simplify)

Square root both sides,

XZ= [tex] \sqrt{3969} [/tex]

XZ= 63 (simplify)

sinY

= XZ/ ZY

[tex] = \frac{63}{65} [/tex]

Answer:

63/65

Step-by-step explanation:

Answer:

[tex]f(n)=f(n-1)+22[/tex].

Step-by-step explanation:

Note: In the given function it should be (n-1) instead of (n=1).

Consider the given function is

[tex]f(n)=-11+22(n-1)[/tex]

It is the explicit form of an A.P.

For [tex]n=1[/tex],

[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]

For [tex]n=2[/tex],

[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]

Common difference is  

[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]

The recursive formula of an A.P. is

[tex]f(n)=f(n-1)+d[/tex]

Substitute [tex]d=22[/tex] in the above formula.

[tex]f(n)=f(n-1)+(22)[/tex]

[tex]f(n)=f(n-1)+22[/tex]

Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].

Answer:

4

Step-by-step explanation:

the answer is 4 so d on edge .

Based on the information given regarding the graph, it should be noted that the correct option is graph 4.

It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.

From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).

Therefore, the section of the graph where the actual solution to the system lie is in graph 4.

Learn more about graphs on;

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Answer:

75 km / h = 1250 m / m;

Solution ⇒ 1250 meters / minute

Step-by-step explanation:

Take a look at the explanation below;

[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]

Conclusion; 1250 meters / minute

Answer:

x = 180

Step-by-step explanation:

We can use ratios to solve

2 chocolates        5 chocolates

--------------------- = ------------------

72 calories                x calories

Using cross products

2 *x = 5*72

2x = 360

Divide each side by 2

2x/2 = 360/2

x = 180

Set up a ratio 2/72 = 5/x.

Now use cross-products.

(2)(x) = (5)(72).

2x = 360.

Now divide both sides by 2.

This gives us x = 180.

So, Jodi consumes 180 chocolates when she eats 5 chocolates.

Answer:

The value of the given expression is 27.1

Step-by-step explanation:

We are given an expression of two variable x and y.

We need to find the value of expression at x = 3 and y = 4

So first put x = 3 and y = 4 into expression and simplify

1/2 x 3 (3) + 3.4 x 4

➡️ 1/2 x 27 + 13.6

➡️ 27/2 + 13.6

➡️ 13.5 + 13.6

Now, add both of the numbers together. ( as an addition problem)

Therefore, when you ad the 2 together, you get the total of 27.1

Answer: No, because the line does not touch any points.

Step-by-step explanation:

A line of best fit should pass through most if not all of the points on a graph. If it does not, it can't be considered a line of best fit.

Answer:

Yes, because it passes through the center of the data points.

Step-by-step explanation :

Its D because, the line of best fit does not have to touch any points, it has to be the closest possible to the points.

Answer:

E. x = 4

F. x = -2

Step-by-step explanation:

Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.

Answer:

the LCM for 5 and 6 is 30

the LCM for 4 and 8 is 8

Answer:

$1,352.5

Step-by-step explanation:

A=p(1+r/n)^nt

Where,

P=principal

r=interest rate

n=no of periods

t=time

P=$5,000

r=2%

n=4

t=12

A=5000(1+0.02/4)^4*12

=5000(1+0.005)^48

=5000(1.005)^48

=5000(1.2705)

=$6,352.5

How much more money after 12 years

=$6,352.5-$5000

=$1,352.5

Answer:

$1.24

Step-by-step explanation:

5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)

(edit:forgot the explaination)

Answer:

y=5x

.-.-.-.

jhvghcfghvbkhhx

Answer:

D

Step-by-step explanation:

You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

The slope is 5

Answer:

12

Step-by-step explanation:

Answer:

subtract 2x on both sides

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

Move The Terms:

8x -2x =3 = -15

Collect like terms and calculate:

6x = -15-3

Divide both sides of the equation by 6:

x = -3

Final answer:

x= -3

Hope this helped have a good day

Answer:

The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.

Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)

The two events are independent from one another.

Answer:

-(x+7)/6

Step-by-step explanation:

y = -6x-7

Exchange x and y

x= - 6y-7

Solve for y

Add 7 to each side

x+7 = -6y-7+7

x+7 = -6y

Divide by -6

(x+7) / -6 = -6y/-6

(x+7)/ -6 = y

The inverse is -(x+7)/6

Answer:

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%

Step-by-step explanation:

The given parameters are;

Sample size of the women sample, n₁ = 200

Percentage of the women that prefer beach, p₁ = 45%, [tex]\hat p_1[/tex] = 0.45

Sample size of the men sample n₂ = 300

Percentage of the men that prefer beach, p₂ = 52%, [tex]\hat p_2[/tex] = 0.52

Confidence level of the confidence interval = 99%

α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005

The equation for the confidence interval for the difference between two proportions is given as follows;

[tex]\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}[/tex]

[tex]z_{\alpha /2}[/tex] = ±2.57 from the z score tables

Plugging in the vales, we have;

[tex]\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}[/tex]

Which gives;

-0.1872 < [tex](\hat p_1 - \hat p_2)[/tex] < 0.0472

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.

Answer:

Option A.

Step-by-step explanation:

Graph of function has been given in the figure.

Coordinates of the points lying on this graph will be

x     -2        -1         0          1        2

y    -10       -3        -2         -1        6

Therefore, coordinates of the points which will lie on the inverse of this function will be

x     -10      -3        -2       -1       6

y      -2       -1         0        1       2

Therefore, Option A. will be the answer.

Answer:

m= 1/4

Step-by-step explanation:

tried helping I don't know if this is the right way to do it for you

Answer:

f(x) = -1/2x + 2

Step-by-step explanation:

f(x) = ax + b

x = 0 , y = 2

y = 0 , x = 4

[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]

[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]

f(x) = -1/2x + 2

Answer:

$12,000,000

Step-by-step explanation:

The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters

Applying the given information;

size of house number = Four digits which is a multiple of 5 and 7

House number ends with 0

given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10

The Four digit house number will fall between : 1000 to 9999

    ( 1000 / 70 ) = [tex](14 + 2/7) - 2/7)*70 + 70 = 1050[/tex]

    ( 9999 / 70 ) = [tex]( 142 + 59/70)- 59/70)*70= 9940[/tex]

∴ The minimum number of letters of a four digit number that is a multiple of    5 and 7 and whose last digit = 0 will be

     142 - ( 14 + 1 ) = 127 letters

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Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

The answer is √32 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer: first one is A, Second is c

Step-by-step explanation: