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Answer:

84 and 36

Step-by-step explanation:

The ratio of two numbers is 7:3.

We don't know what the numbers are, but since their ratio is 7:3, we can let the numbers be 7x and 3x. Notice that the ratio between 7x and 3x is 7x/3x = 7/3, so we still have the same ratio, 7:3.

The difference between the numbers is 48.

7x - 3x = 48

4x = 48

x = 12

7x = 7(12) = 84

3x = 3(12) = 36

The numbers are 84 and 36.

Check:

7/3 = 2.333...

84/36 = 2.333...

84 and 36 are int he same 7:3 ratio as 7:3.

84 - 36 = 48

The difference between 84 and 36 is 48 like the problem states.

This shows our answer, 84 and 36, is correct.

Hi, hope you’re having a good day today!!!

Answer:

84:36

(The explanation is really really long, so you may want to skip it, unless this is a test or you want a better understanding then, yeah)

So first, you have 7:3

Then, you have to multiply both by the same number to get an equal ratio to 7:3,

Let’s try 7*10=70 and 3*10=30 70-30=40, so you know that the answer is close,

Then, let’s try 7*11=77 and 3*11=33, subtract and you get 44. Nope, not the answer

So, finally let’s try 7*12=84 and 3*12=36, and 84-36=48!!!!

So, the answer is explained! Wait, but you still have to put them like ratios (if this chapter is ratios and proportions)

84:36 or 84 to 36, either way.

Answer:

17

35

Step-by-step explanation:

Answer:

17

35

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

There are 6 numbers on a die, one of them is 5 so we expect to get a five one of six times

P (5) = 1/6

If we roll the die 30 times, we expect to get a five 30 * 1/6 = 5 times

Answer:

Total amount that Matthew's bank will receive is $10099.81.

Step-by-step explanation:

We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.

The formula for compound interest is:

[tex]A=P(1+r)^n[/tex]

Where A = future value

P= Principal Amount

r = interest rate

and n= time

So in the question we are given:

P= $8000

r = 6% or 0.06

t = 4 (since 4 yeras compounded annually)

A= 8000*(1+0.06)^4

A= 8000*(1.06)^4

A= 10099.81

So, total amount that Matthew's bank will receive is $10099.81.

Answer:

the answer is 10,099.80

Step-by-step explanation:

Answer:

It is 525

Step-by-step explanation:

Answer:

(x - 3)(x + 1)(x + 5)

Step-by-step explanation:

I'd use synthetic division instead.  If we were to find the roots of the given polynomial, we could from them write the factors as well.

The divisor x + 5 corresponds to root x = -5.  Setting up synthetic div.,

-5   )   1    3    -13    -15

               -5     10    +15

      -----------------------------

           1   -2     -3      0

Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.  Moreover, we know that the coefficients of the quotient are 1, -2 and -3.

1x² - 2x - 3 can be factored:  the factors are (x - 3) and (x + 1).

So the end result for this problem is (x - 3)(x + 1)(x + 5).

Answer:

10^2

Step-by-step explanation:

10^2 = 10x10 = 100

100 x 9 = 900

Answer:

0

Step-by-step explanation:

Example : [tex]\frac{2}{5} -  \frac{2}{5}[/tex] = 0

Answer:

D. Cluster sampling

Step-by-step explanation:

Dealing with the whole population can be cumbersome, time-consuming and very expensive. In order to make it more feasible for researchers they can employ cluster sampling. In cluster sampling, the population are divided into precincts, or gropus. The researcher then selects the groups that will be included in the study through simple random samping or systematic sampling. The researcher can opt to choose let the whole cluster or group to participate in the study or they can randomly select the individuals within the groups.

Answer:

d

Step-by-step explanation:

Answer:

1)he maximum height your feet will be above the ground is 12

2)Will you be able to dunk the ball= yes

Step-by-step explanation:

Given:

In order to dunk the basket ball, height needed to jump= 2.5 feet

The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12

1) the maximum height your feet will be above the ground=?

Given function of height,h(x)=-16t^2+12

finding maximum of the above function

The maximum of any function written in form of ax^2+bx+c is given by

max= c - (b2 / 4a)

Putting values c=12, b=0 and a=16, we get

max= 12-(0^2/4(-16))

      = 12 -0

      =12 feet

he maximum height your feet will be above the ground is 12 feet.

2)  Will you be able to dunk the ball=?

As the maximum height the feet will be above the ground is 12 feet which is greater than the height needed to jump in the air to dunk the ball 2.5 feet  i.e.

12>2.25

hence yes you will not be able to dunk the ball !

Answer:

400 to 500

Step-by-step explanation:

The increase in the price from $400 to $500 has got the larger change, that is the change of 25%.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

Percentage change from $400 to $500

% change = (500 - 400)/400 × 100

% change = 25%

Percentage change from $500 to $600,

% change = (600 - 500)/500 × 100

% change = 20%

Therefore, $400 to $500 has the largest change.

To know more about Percentage:

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4 congruent sides, each 10 m, so perimeter 10+10+10+10 =

Answer: 40 m

Answer:

Part 1) The measure of angle PSL is 45°

Part 2) The measure of angle XYZ is 70°

Part 3) The measure of angle HJZ is 100°

Part 4) The measure of angle PHL is 120°

Part 5) The measure of angle WXZ is 140°

Part 6) The measure of angle UTG is 62°

Step-by-step explanation:

Part 1) Find the measure of angle PSL

we know that

∠PSL+∠LSM=90° -----> by complementary angles

we have

∠LSM=45°

substitute

∠PSL+45°=90°

∠PSL=45°

Part 2) Find the measure of angle XYZ

we know that

∠WYX+∠XYZ=180° -----> by supplementary angles

we have

∠WYX=110°

substitute

110°+∠XYZ=180°

∠XYZ=70°

Part 3) Find the measure of angle HJZ

we know that

∠HJZ=∠HJK+∠KJZ

we have

∠HJK=20°

∠KJZ=80°

substitute

∠HJZ=20°+80°=100°

Part 4) Find the measure of angle PHL

we know that

∠PHL=∠PHS+∠SHL

we have

∠PHS=46°

∠SHL=74°

substitute

∠PHL=46°+74°=120°

Part 5) Find the measure of angle WXZ

we know that

∠WXZ=∠WXY+∠YXZ

we have

∠WXY=15°

∠YXZ=125°

substitute

∠WXZ=15°+125°=140°

Part 6) Find the measure of angle UTG

we know that

∠UTG=∠ATG-∠ATU

we have

∠ATG=120°

∠ATU=58°

substitute

∠UTG=120°-58°=62°

Answer:

[tex]x\geq3[/tex]

[tex]12x+7y\leq63[/tex]

[tex]y\geq0[/tex]

Step-by-step explanation:

If we let x be the amount of live bait and y be the amount of natural bait, Then we can come up with the following inequalities;

We are told that John would like to get at least 3 pounds of live bait. At least 3 means 3 or more. Since x represents the amount of live bait, we have;

[tex]x\geq3[/tex]

Moreover,we are informed that;

The store sells live bait for $12 a pound and natural bait for $7 a pound. x pounds of live bait would cost 12x while y pounds of natural bait would cost 7y. The total cost would thus be;

12x + 7y

but John only has a budget of $63. This implies that he can spend $63 at most, thus;

[tex]12x+7y\leq63[/tex]

Finally we can have our last inequality as;

[tex]y\geq0[/tex]

Final answer:

The combined probability of scoring less than 200 or greater than 800 on a normally distributed college-entrance exam with mean 500 and standard deviation 100 is approximately 0.3%.

Explanation:

The probability that a randomly chosen exam score is less than 200 or greater than 800 in a normally distributed college-entrance exam can be found by using the properties of the normal distribution. Since the mean score is 500 and the standard deviation is 100, scores below 200 are three standard deviations below the mean, and scores above 800 are three standard deviations above the mean. Given the symmetry and the empirical rule of normal distribution, approximately 99.7% of values lie within three standard deviations from the mean, leaving roughly 0.3% of the values outside this range. Therefore, since both tails (below 200 and above 800) are considered, we need to split this percentage, which gives us approximately 0.15% (or 0.0015 in probability terms) for each tail. Thus, the combined probability of scoring less than 200 or greater than 800 is approximately 0.3% (or 0.003 in probability terms).

Answer:

petunias, snapdragons, then pansy

Step-by-step explanation:

Ok first, lets find the percentage of 18 out of 40: 18/40= 0.45

The 21 out of 50= 21/50= 0.42

Lastly, 12/30= 0.40

And its very simple to put from least to greatest:

0.40, 0.42, 0.45

Hope this helped ;)

The answer is petunias, snapdragons, then pansies.

Hope this helps!

Answer: -14

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-7)2

-7 • 2

-14

Answer:

|x| + |y| = 29

Step-by-step explanation:

We have been given the expression;

|x| + |y|

We are required to evaluate the above expression if;

x = 16 and y = 13

The parallel vertical lines imply that we are dealing with the absolute value of x and y;

|x| + |y| = |16| + |13|

           = 16 + 13

           = 29

Answer:

The correct answer is 29

Step-by-step explanation:

Points to remember

|x| = x

|-x| = x

It is given an expression, |x| + |y|

To find the value of given expression

|x| + |y|  if x = 16 and y = 13

Substitute the value of x and y in the above expression,

|x| + |y| = |16| + |13|

 = 16 + 13 = 29

Therefore the correct answer is 29

Answer:

[tex]y=\frac{1}{36}x^2[/tex]

Step-by-step explanation:

The focus of the parabola is (0,9)

and the directrix is y=-9.

The equation of this parabola is given by:

[tex]x^2=4py[/tex]

The vertex of this parabola is at the origin.

The value of p is the distance from the vertex to the focus.

p=9-0=9

The equation of the parabola is

[tex]x^2=4(9)y[/tex]

[tex]x^2=36y[/tex]

Or

[tex]y=\frac{1}{36}x^2[/tex]

Answer:

[tex]x=4+-2\sqrt{7}[/tex]

Step-by-step explanation:

To solve, we need to take square root of both sides first:

[tex](x-4)^2=28\\\sqrt{(x-4)^2} =+-\sqrt{28} \\x-4=+-\sqrt{28}[/tex]

Now we use the property of radical shown below to simplify square root of 28:

Property:  [tex]\sqrt{x*y}=\sqrt{x} \sqrt{y}[/tex]

Now, we have:

[tex]x-4=+-\sqrt{28}\\x-4=+-\sqrt{4*7}\\x-4=+-\sqrt{4}\sqrt{7}\\x-4=+-2\sqrt{7}[/tex]

Now we take 4 to the other side and isolate x:

[tex]x-4=+-2\sqrt{7} \\x=4+-2\sqrt{7}[/tex]

first answer choice is right.

The answer is:

The correct answer is the first option.

[tex](x-4)^{2}=4+-2\sqrt{7}[/tex]

To solve the problem, we must remember the following square root property:

[tex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]

So,

We are given the expression:

[tex](x-4)^{2}=28[/tex]

Now, isolating we have:

First, applying square root to both sides of the equation in order to simplify the quadratic term, we have:

[tex]\sqrt{(x-4)^{2} }=\sqrt{28}\\(x-4)=\sqrt{4*7}\\\\x=4+-(\sqrt{4}*\sqrt{7})\\\\x=4+-2\sqrt{7}[/tex]

Hence, the correct answer is the first option.

[tex](x-4)^{2}=4+-2\sqrt{7}[/tex]

Have a nice day!

Answer:

Paul purchased 23 pieces of pepperoni pizza

Step-by-step explanation:

Let pepperoni pizza pieces = x

and plain pizza pieces  = y

So, the equations will be:

AS pepperoni pizza piece is sold for $1.15 and plain pizza is sold for $0.90 and Paul paid $39.05

1.15 x + 0.90 y = 39.05    eq(1)

Paul bought total 37 pieces of pizza so,

x + y = 37      eq(2)

Solving eq(1) and (2)  we can find the pieces of pepperoni pizza bought by Paul.

Multiplying equation (2) with 1.15 and subtracting eq(1) and eq(2)

1.15 x + 0.90 y = 39.05

1.15 x + 1.15 y = 42.55

-         -              -

__________________

0 x - 0.25 y = -3.5

y = -3.5/-0.25

y = 14

Putting value of y in equation(2)

x+y = 37

x + 14 = 37

x = 37 - 14

x = 23

So, Paul purchased 23 pieces of pepperoni pizza as x represents pepperoni pizza pieces.

By setting up and solving a system of linear equations, we determined that Paul purchased 23 pieces of pepperoni pizza for Pam's party.

To determine how many pieces of pepperoni pizza Paul purchased for Pam's party from Perry's pizza parlor, we can set up a system of equations based on the cost of each piece and the total amount spent. Let x represent the number of pepperoni pizzas at $1.15 each and y represent the number of plain pizzas at $0.90 each. We have the following equations based on the given information:

x + y = 37 (total pieces of pizza purchased)

1.15x + 0.90y = $39.05 (total amount spent)

By solving these equations simultaneously, we can find the exact number of pepperoni and plain pizzas that Paul purchased. Multiplying the second equation by 100 to clear the decimals, we get:

115x + 90y = 3905

Now, multiply the first equation by 90:

90x + 90y = 3330

Subtract the modified first equation from the modified second equation:

(115x + 90y) - (90x + 90y) = 3905 - 3330

25x = 575

x = 23

Paul purchased 23 pieces of pepperoni pizza.

Answer:  The correct option is (C) [tex]a^5.[/tex]

Step-by-step explanation:  We are given to choose the correct simplification for the following expression :

[tex]P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property of exponents :

[tex]x^a.x^b=x^{a+b}.[/tex]

So, the simplification of expression (i) is as follows :

[tex]P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.[/tex]

Thus, the correct simplification of the given expression is [tex]a^5.[/tex]

Option (C) is CORRECT.

Answer:

B) 5065

Step-by-step explanation:

100.5 times 5 = 502.5

502.5 times 100

+ 8 times 5 (commission)

The question asks for the total commission fee when buying five XYZ bonds. Each bond has $8 commission. Therefore, 5 bonds * $8 = $40.

To determine the total cost of purchasing five XYZ bonds with a commission fee of $8 each, you have to multiply the number of bonds by the commission fee. So, the calculation will be:

This means the total cost just for purchasing (not including the face value of the bonds themselves) is $40.

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Answer:

1395in^3

Step-by-step explanation:

First find the volume of the cuboid, 15in x 9in x 7in = 945in^3

Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.

V=(15in)(9in)(10in)/3 = 450in^3

450in^3 + 945in^3 = 1395in^3

Answer:

Line B

Step-by-step explanation:

It is the line that most of the dots surround

Answer:

Line b

Step-by-step explanation:

Line b has the most black dots positioned close to it, and therefore is the best fit line.

Answer:

144

Step-by-step explanation:

Ok. I love problems like this.

You just have to find the surface are of each part and add it up!

To find the surface area of a rectangle, you multiple the base and the height. To find the surface area of a triangle, you multiple the base and height, and divide by 2 (because its half of a rectangle).

Left rectangle: 3*ll=33

Middle rectangle: 4*ll=44

Right rectangle: 5*ll=55

Top triangle: 3*4=12

                      12/2=6

Bottom triangle: 3*4=12

                           12/2=6

ADD THEM ALL!!! 33+44+55+6+6=144

(Also can I please please please have brainliest? I need it to level up!)

The cost of each bus for the school's field trip is approximately $192.20.

To calculate the cost of each bus, you first subtract the tip from the total expenses.

So, $1829.82 - $100 = $1729.82.

This is the total cost for the 9 buses without the tip.

Next, you divide this amount by the number of buses to find the cost per bus. $1729.82 / 9 = $192.20.

Therefore, each bus costs about $192.20.

Answer:

y=3/2and x =2

Step-by-step explanation: