the sum of 198 and h as an algebraic expression

Answer:

See Explanation

Step-by-step explanation:

The question isn't clear enough. However, I'll solve for the total number of students in science class and I'll.also solve for the total number of students present in class.

Given

Proportion of girls = ⅓

Number of girls absent = 3

Number of girls present = 4

Required

Find the total number of students

If 3 girls were absent and 4 were present, then there are total of 7 girls in science class.

Let the number of students in the class be represented by y.

⅓ of the total number of students are girls;

This means

⅓ of y = 7

⅓ * y = 7

Multiply both sides by 3

3 * ⅓ * y = 3 * 7

y = 3 * 7

y = 21.

Hence, the total number of students in science class is 21

Recall that 3 girls are absent;

This means that 21 - 3 are presently in the class.

21 - 3 = 18.

Hence, 18 students are presently in class.

Answer: [tex]x=11[/tex]

Reorder the terms in parentheses

[tex]+(+2x-10)+7=x+8[/tex]

Remove unnecessary parentheses

[tex]+2x-10+7=+x+8[/tex]

Move all terms containing x to the left and all other terms to the right

[tex]+2x-1x=+8+10-7[/tex]

Simplify left and right side of the equation

[tex]+1x=+11[/tex]

divide both sides of the equation by 1 to get x

[tex]x=11[/tex]

Answer:

B

Step-by-step explanation:

4 laps were ran between her 3rd and 7th lap (inclusive) and the duration increased by 14 seconds

But just 2 laps were ran between her 7th and 9th lap and the duration increased by 11 seconds

So obviously the lap duration increased faster between the 7th and 9th lap

Answer:

B

Step-by-step explanation:

I just did the quiz, so you all can trust me :)

Answer:

a

Step-by-step explanation:

Answer:

A) y ^4 −  13 y^ 3  −  6 y

Step-by-step explanation:

     4y^4 - 8y^3

-    5y^3 + 6y + 3y^4

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

flip the equations around

  -8y^3 + 4y^4

-   5y^3 + 6y + 3y^4

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

-13y^3 - 6y + y^4

Rearrange to get:

y^4 - 13y^3 - 6y

I hope this helps you out!!!

Answer: C) Yes, when the light was too strong the plants did not grow well

Step-by-step explanation:

Answer:

-86 ≥ x

Step-by-step explanation:

Answer:

-87 ≥ x

Step-by-step explanation:

In this inequality, it states that -87 is greater than and equal to x.

So we know we have to use this sign.

≥

So, -87≥x

Answer:

The first one! :)

Step-by-step explanation:

At the bottom of each question for example the first on it has 1 at the top then at the bottom it says 5/3 with a x.So if it does not say 5/3 it can be excluded.So it says only one 5/3.So one 5/3 is the exact same as 5/3!

And for the last one says -5/3.:)

And no im not saying 1  5/3  :(

(❁´◡`❁)     (●'◡'●)     ╰(*°▽°*)╯     (≧▽≦)     (*/ω＼*)     (^///^)       ^_^          (┬┬﹏┬┬)        ಥ_ಥ        ಠ_ಠ    

[tex]$\frac{1}{\sqrt[3]{x^{5}}}$[/tex]  is equivalent to [tex]- 5/3[/tex].

The calculation of the given expression can be defined as

[tex]$\begin{aligned} \rightarrow x^{-\frac{5}{3}} &=\frac{1}{x^{\frac{5}{3}}} \\ &=\frac{1}{\sqrt[3]{x^{5}}} \end{aligned}$[/tex]

So, the final answer is "Option b".[tex]$\frac{1}{\sqrt[3]{x^{5}}}$[/tex]

To learn more about equivalent refer to:

https://brainly.com/question/9385401

#SPJ2

Answer:

I would like to answer but where is the picture for the question. Download that to this page and i will answer it. Have a great day

Step-by-step explanation:

Answer:

Where is the expressions ?

Step-by-step explanation:

Answer:

a [4.9] and [3.1]

c [-6] and [-6]

Step-by-step explanation:

Edge 2020-2021

It's right I did it

Hope that helps

Answer:

3000+4500= 7500

Answer:

5 miles

Step-by-step explanation:

5*2=10

Answer:

5 miles

Step-by-step explanation:

Adrianna (a) ran 10 miles.

She ran twice as much as Ady:

Ady = a/2

a = 10

Plug in 10 for a:

Ady = 10/2 = 5

Ady ran 5 miles.

~

Answer:

i say dependent. i may be wrong

7/26

Step-by-step explanation:

6/13 times 7/12 which is 42/156 which is 14/52 which is also 7/26

Final answer:

The scenario presents dependent events with the probability of selecting a boy first and then a girl being 7/26.

Explanation:

The events described in the scenario are dependent because the outcome of the first trial (selecting a student) affects the outcome of the second trial (selecting another student). In this situation, for the first student selected to be a boy, the probability is 6/13 (as there are six boys and seven girls, totaling 13 students). Once the first boy is selected and not replaced, the probability that the second student chosen is a girl is 7/12, because only 12 students remain and 7 of them are girls.

Therefore, the probability of first drawing a boy and then a girl, in two successive trials without replacement, is the product of the two individual probabilities: (6/13) * (7/12). This equals 42/156= 0.269 or simplified to 7/26.

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Step-by-step explanation:

The confidence level is 90% and the significance level would be [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] and the critical value for this case is:

[tex] z_{\alpha/2}= 1.64[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we want a margin of error of [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't hace any prior info for the population proportion we can use [tex]\hat p =0.5[/tex]. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Using the sample size formula, the required number of sample is 752.

Using the confidence interval relation :

Substituting the values into the equation :

n = [tex] \frac{0.5 \times 0.5}{(\frac{0.03}{1.645})^{2} }[/tex]

[tex] n = \frac{0.25}{0.0003325}[/tex]

[tex] n = 751.67[/tex]

Therefore, the required number of sample is 752.

Learn more : https://brainly.com/question/25609130

Answer:

13

Step-by-step explanation:

As x and y are perpendicular - we can use pythagoras.

So, The length of side x squared + The length of side y squared = The missing length squared.

12^2=144

5^2=25

144+25=169

sqrt169=13

Answer:

Unknown side = 13 in

Step-by-step explanation:

If it is a right sided triangle, then you can use the Pythagoras theoreum.

unknown side = u

x² + y² = u²

12² + 5² = u²

u² = 144 + 25

u² = 169

u = + - SQRT(169)

{Only the positive value has a meaning}.

Unknown side = 13 in

Answer:

the total value of the liquid in the container is $29.4

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

Given data

Height h= 9 inches

Radius r= diameter/2= 2.5/2= 1.25in

Substituting we have

V= 1/3(3.14)*(1.25)²*9

V= 1/3*(3.14)*14.06

V= 44.156/3

V= 14.7in³

The volume of the cone is 14.7in³

Hence If 1 in³ of liquid costs $2

14.7in³ will cost $x

x= 14.7*2

x= $29.4

Answer: the correct options are b and d.

Step-by-step explanation:

Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.

Considering a single spin of the spinner, the events that are mutually exclusive are

b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time

d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.

Answer:

-4<x<2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

last time i did this i got 1.4

Answer: 0.72

Step-by-step explanation:

0.7x0.4=0.28

1-0.28= 0.72

That is what I did in the box and got the correct answer. Hope you have a good day!

Answer:

10 times 9 is 90 divide 90 bye 15 and there u go

Step-by-step explanation:

She subtracted the coefficients instead of dividing them

Answer:

C

Step-by-step explanation:

Area of known planted trees: 450ft x 24ft = 10800 sq ft

total area of orchard: 43560 sq ft. x 15 acres = 653400 sq ft

653400 / 10800 = 60.5 "duplicated known areas"

25 trees in each "known area"

60.5 x 25 = 1512.5 trees

round to 1513 trees

C

I worked it out but not sure

Answer:

C

Step-by-step explanation:

x-7 is the answer

Answer:

difference means subtract

x-7

C. is correct because it subtracts and the numbers are in order

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the value a is positive in the linear equation y = a x ( for example: y = 2 x ) then the line ( from the left to the right ) must go up and to the right. It also passes through the origin ( 0, 0 ).           For x = 1: y = 2 * 1 = 2, so that point is ( 1, 2 ),  x2 > x1,  and y2 > y1.Answer:A. goes up and to the right.

Final answer:

The line described by the equation y = ax slopes upward to the right when the value of a is positive, illustrating a positive relationship between x and y.

Explanation:

The equation y = ax describes a linear relationship between x and y. When the value of a is positive, the line slopes upward to the right on a graph. This behavior is because a positive slope indicates that as the x-value increases, the y-value also increases, leading to an upward trajectory on the graph.

The direction in which the line moves across the graph depends solely on the sign of a, where a positive a signifies an upward slope and a negative a results in a downward slope. Specifically, for a positive a, for every unit increase in x, there is a proportional increase in y, making the graph rise from left to right.

The value of the growth factor of the function is 15. To add to your answer, exponential growth happens when the rate of the number of the function corresponds with the present value of the function. This then lets its increase together with time be called an exponential function. 

Answer:

15.

Step-by-step explanation:

f(x) = a b^x

The growth factor is  b - in this case 15.

Answer:

ok so........

Step-by-step explanation:

For example, the first one is -1/3. It's slope is going down to the right, so it's negative . It goes down 1 (y value) and over to the right 3 (x value). Since it goes down and to the right it is a slope of -1/3.

Answer:

13 boxes

Step-by-step explanation:

To calculate the minimum number of boxes that can be had with that amount of paper, they should be kept in the largest box, that is, the 27 cubic foot box, therefore, we divide:

257/27 = 9.51

Which means that we can save the paper in 9 boxes of 27 cubic feet, now we will save the rest in the next smaller box, the 9 cubic foot box.

First let's calculate how many leftover paper:

257 - 27 * 9 = 14

Therefore, we can only use 1 box of 9 cubic feet:

14 - 9 = 5

For the remaining 5 cubic feet use 1 box of 3 cubic feet and 2 boxes of 1 cubic foot.

Therefore, in total it would be:

9 of 27 ft ^ 3 + 1 of 9 ft ^ 3 + 1 of 3 ft ^ 3 + 2 of 1 ft ^ 3 = 13

a total of 13 boxes would be the minimum

Answer:

j - 10 = 35

j = 45

Step-by-step explanation:

When it says, "less than" it means subtracting. So 10 less than j is (j - 10)

The part where is says "is" means it is equal to.

So the equation would be = (j - 10) = 35

Answer:

Equation: (j - 10) = 35

j = 45

Step-by-step explanation: Lets translate 10 less than j:

Less than means 10 is being subtracted from j.

So we can write 10 less than j as j - 10.

The word is means equal.

So, we can write is 35 as = 35.

Now lets write the whole equation toghter.

j - 10 = 35

We can also write this as 35 = j - 10.

Now we can solve for j.

Add 10 to both sides of the equation to get j by itself.

j - 10 + 10 = 35 + 10

J=45

The following equation matches this situation:

j - 10 = 35

j = 45

The incorrect statement is option D) The probability of finding my keys is - 1/5, as probabilities cannot be negative. Probabilities range between 0 and 1, and the calculation for combined probability of independent events involves multiplication, not addition.

The statement that is not correct to use probability to describe is option D) The probability of finding my keys is - 1/5. Probabilities range from 0 to 1 (or 0% to 100%), where 0 indicates impossibility and 1 indicates certainty. A negative probability does not make sense within this framework, so option D reflects a misunderstanding of how probabilities are represented.

The correct way to calculate the combined probability of two independent events is to multiply their individual probabilities. For example, to find P(A AND B) when dealing with independent events, you would calculate P(A) * P(B). Therefore, if P(A) = .2 and P(B) = .3, the correct answer for P(A AND B) would be .06, which corresponds to option D in the exercise provided.

It is also important to clarify misconceptions such as adding probabilities of non-mutually exclusive events. For instance, the fallacy that if there is a 60 percent chance of rain on one day and a 70 percent chance on another, then there is a 130 percent chance of rain over the weekend.

This is incorrect because probabilities cannot exceed 100%. Instead, you would evaluate the chances of rain differently depending on the independence or interdependence of the weather on those days.

Answer:

Step-by-step explanation:

                5

5y^-3 = ---------

               y^3