(1) Here is a diagram representing a base-ten number. The large rectangle represents a unit that is 10 times the value of the square. The square represents a unit that is 10 times the value of the small rectangle. If the large rectangle represents 1,000, what number is this? *

Answer:

x=4

Step-by-step explanation:

-3(4x+3)

you need to break open the paranthesis

-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.

4(6x+1)

you need to break open the paranthesis

4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.

-12x-9+24x+4=43

move all variables to the left side and numbers to the right side

-12x+24x=43-4+9

12x=48

x=4

Answer:

B) 103.25

Step-by-step explanation:

Area of rectangle:

A = bh

A = (16)(4)

A = 64

Area of a semi-circle:

r = d/2 = 5

A = (πr²)/2

A = (3.14 * 5²)/2

A = (3.14 * 25)/2

A = (78.5)/2

A = 39.25

Combined:

64 + 39.25 = 103.25

Answer: 103.25

Step-by-step explanation:

area of the rectangle is 4*16= 64

The area of the complete circle is [tex]\pi r^{2}[/tex]

r=d/2

r=10/2

r=5

[tex]25\pi[/tex] is the area of the full circle

[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle

area of the figure

[tex]64+\frac{25\pi }{2}[/tex]=103.27

Answer:

[tex] \frac{11}{12} [/tex]

Can I be brainliest pls

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5

Answer:

4(10+n)=34

40+4n=34

4n=-6

n=-6/4=-3/2

Step-by-step explanation:

Answer: 4n+40=34

Step-by-step explanation:

I got it right

Answer:

[tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]

Step 2: Compute

Complete Question:

Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.

Find the cost of the material for the frame is x = 16.

Answer:

The material cost of the frame is: $17.15

Step-by-step explanation:

Given

[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting

[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting

[tex]Cost = \$0.07[/tex] per square inch

Required

The cost of material of the frame

First, we calculate the area of the frame only

This is the difference between the areas of the frame and painting and the area of the painting

[tex]Area = (L_2)^2 - (L_1)^2[/tex]

[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]

Substitute 16 for x

[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]

[tex]Area = (27)^2 - (22)^2[/tex]

[tex]Area = 245\ in^2[/tex]

The cost of the painting is:

[tex]Total\ Cost = Unit\ Cost * Area[/tex]

[tex]Total\ Cost = \$0.07 * 245[/tex]

[tex]Total\ Cost = \$17.15[/tex]

Hence, the material cost of the frame is: $17.15

Answer:

Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

Answer:

Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

Step-by-step explanation:

To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.

The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.

The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.

The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).

However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.

Based on the arithmetic sequence, the sum of the first 19 terms is 532.

1, 4, 7, 10, 13, 16...

Sn = n/2{2a + (n - 1)d}

= 19/2{2×1 + (19 - 1)3}

= 9.5{2 + (18)3}

= 9.5(2 + 54)

= 9.5(56)

Sn = 532

Learn more about arithmetic sequence:

https://brainly.com/question/24205483

#SPJ1

Answer:

25.3333333

Step-by-step explanation:

Answer: 25.33

Step-by-step explanation:

First yo divide -456 / -18

Last is the result (what you get): 25.33

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

Answer:

44

Step-by-step explanation:

because yea

Answer:

16

Step-by-step explanation:

Answer:

x= 43, y=215

Step-by-step explanation:

Let one number be x,

Let the other number be y.

x= 5y

x - y= 172

Putting value of x in equation 2.

5y - y = 172

4y = 172

y= 172/4

y= 43

Putting value of y in eq. 1

x= 5(43)

x=215.

Answer:

Step-by-step explanation:

14%

The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up

Transformation of function is transforming a function from one form to another form .

f(x)-> f(x)+a , f(x) will be moved 'a' units up

f(x)-> f(x)-a , f(x) will be moved 'a' units down

f(x)-> f(x-a) , f(x) will be moved 'a' units right

f(x)-> f(x+a) , f(x) will be moved 'a' units left

f(x)-> -f(x), f(x) will be reflected across x-axis

f(x)-> f(-x), f(x) will be reflected across y-axis

For quadratic, the parent function is [tex]f(x)=x^2[/tex]

Given that [tex]f(x)=x^2+5[/tex]

Here , 5 is added with f(x) at the end

f(x)-> f(x)+a , f(x) will be moved 'a' units up

[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]

The graph of f(x) will be move 5 units up

the transformations of f(x) when compared to the parent function is the graph is moved 5 units up

Learn more about transformation here:

brainly.com/question/17586310

Answer:

x=6,24

Step-by-step explanation:

Use the Theorem of Pythagoras.

H^2= S^2+ S^2

8^2= 5^2 + S^2

64-25 = S^2

39 = S^2

6,24= S

S is x therefore x = 6,24

Answer:

Step-by-step explanation:

line 1 is H

line 2 is C

line 3 is D

line 4 is G  

:)

Answer:5 * (1/2 * 6 * 14)= x

Step-by-step explanation: :D

Answer:

2/8 of 24 is 6

2/8 times 24 is 6 also

Answer:

59.3

Step-by-step explanation:

First find the area of the the right triangles

5 * 4 / 2 = 10

Multiply it by 2 since there are 2 right triangles that are the same

10 * 2= 20

Then find the area of a semi circle

The radius is 5

π5^2 / 2= 39.27

39.27 rounded to the nearest tenth is 39.3

Add them together

20 + 39.3 = 59.3

59.3 is your answer

Answer:

The percentage error is 8%

Step-by-step explanation:

Given

[tex]r = 10cm[/tex]

[tex]\triangle r =0.1cm[/tex]

Required

% error in the surface area

The surface area of a sphere is:

[tex]S = \4\pi r^2[/tex]

Differentiate

[tex]dS \approx 8\pi r\ dr[/tex]

Rewrite as:

[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error

The percentage error is then calculated as:

[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]

[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]

[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]

[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]

[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]

[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]

[tex]\% Error = 0.08 * 100\%[/tex]

[tex]\% Error = 8\%[/tex]

Answer:

Step-by-step explanation:

a = 12 mm

Surface area of cube = 6a²

                                   = 6 * 12 * 12

                                   = 864 cubic mm

Answer:

11 cows and 6 ducks

Step-by-step explanation:

Answer:

10 weeks

Step-by-step explanation:

Create a system of equations demonstrating Roshaun and Keegan's savings.

Let x equal the number of weeks they save their money.

In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.

Subtract 10x from both sides of the equation.

Divide both sides of the equation by 15.

In 10 weeks, Roshaun and Keegan will have the same amount of money.

Answer:

Step-by-step explanation:

Simple interest is

I=Prt

I=11500(0.10)(60/360)

I=$191.67

Answer:

8

Step-by-step explanation:

Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15

Answer:

Step-by-step explanation:

let the number be x

3x-9=15

3x=15+9     add 9 from both sides

3x=24

x=8

Answer:

The Z score for $37,000 is 8.49.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean family income is $34,000, with a standard deviation (for the population) of $5,000.

This means that [tex]\mu = 34000, \sigma = 5000[/tex]

Subsample of 200 city residents.

This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]

What is the Z score for $37,000 ?

This is Z when X = 37000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{37000 - 34000}{353.55}[/tex]

[tex]Z = 8.49[/tex]

The Z score for $37,000 is 8.49.