Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)

9514 1404 393

Answer:

  108 ft²

Step-by-step explanation:

The length of the other side of the rectangle can be found using the Pythagorean theorem.

  15² = 12² + x²

  x = √(225 -144) = √81 = 9

So, the rectangle is 9 ft by 12 ft. Its area is the product of those dimensions:

  A = bh

  A = (12 ft)(9 ft)

  A = 108 ft² . . . . area of the rectangle

Answer:yes me too please someone answered it

Step-by-step explanation:

answer : 0.0001982 in scientific notation = see picture

8.2

................

Answer:

200%.

Step-by-step explanation:

Original perimeter = 2(8 + 3) = 22 cm

After doubling each side, perimeter = 2(16+6) = 44 - that is twice the original.

Answer is 200%.

Answer:

The correct option is;

0.28

Step-by-step explanation:

The given parameters are;

The mean score for Michael, [tex]\bar x _1[/tex] = 150

The standard deviation, σ₁ = 30

The mean score for Alan,  [tex]\bar x _2[/tex] = 165

The standard deviation, σ₂ = 15

Taking n₁ = n₂ = 1

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

Taking μ₁ - μ₂ = 0

[tex]z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577[/tex]

The p-value for a z-score of -0.577 from the z-table is 0.28434

Therefore, the probability that Michael, with mean score, [tex]\bar x _1[/tex] = 150 will have a greater score than Alan, with a mean score of [tex]\bar x _2[/tex] = 165 is 0.28434 ≈ 0.28

Therefore, the correct option is 0.28

The amount of carrots Joey has left according to the task content is; 1.8kg.

It follows from the task content that the quantity of carrots he has initially is; 3 kg.

On this note, upon adding 0.8 kilograms of carrots to a pot of vegetable soup, and grated 400 grams of carrots = 0.4kg, it follows that the quantity of carrot left is;

= 3 - 0.8 - 0.4 = 1.8kg.

Read more on subtraction;

https://brainly.com/question/220101

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Answer: 3/32

Step-by-step explanation:

Here's the complete question:

Helen used 1/4 of her savings for her first year of college. 3/8 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?

Since we are told that Helen used 1/4 of her savings for her first year of college and that 3/8 of that money was spent on her housing and meals.

To calculate the fraction of her total savings that was spent on her housing and meals, we would multiply 1/4 by 3/8. This will be:

= 1/4 × 3/8

= 3/32

Answer:

C. 5units

Step-by-step explanation:

It's true that co-prime number is divisible by their product.

Co-prime numbers are pairs of numbers that do not have any common factor other than 1.

e.g., ( 4,7), (2,3), (5,7,9) etc.

Let's take two co-prime numbers i.e., x and y i.e., (x, y)

The product of them is ( x × y)

Therefore,

        x × y/ x = y ,and  x × y/ y = x

Lets understand with an example,

Let's take two co-prime be (2,5), its product be 2×5 = 10

so when we divide product with the number i.e., 10/2=5 and 10/5=2 which is divisible.

Therefore the co-prime number is divisible by their product.

To know more about the co-prime refer to the link given below:

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Answer:

cf chocolate fudge

pbf peanut butter fudge

A) 7.50 cf + 7.00 pbf = $1,065

B) cf + pbf = 146

Multiplying equation B) by -7.50

B) -7.50cf -7.50pbf = -1,095 then adding equation A)

A) 7.50 cf + 7.00 pbf = $1,065

-.50pbf = -30

pbf = 60 pounds of Peanut butter fudge

cf = 146 -pbf = 86 pounds of peanut butter fudge

Double Check

86 + 60 = 146

7.50 * 86 + 7.00 * 60 = 1,065.00

Correct!!!

Step-by-step explanation:

Answer:

1) find d or distance between numbers

2) equation: an=a1+(n-1)d

3) an is nth term

    a1 is first number in sequence

Answer:

x=–1

PR=3x+41

Step-by-step explanation:

So, PQ and QR have a point in common which is x, now let's calculate that first

[tex]6x + 25 = 16 - 3x = = = > \\ 9x = - 9 = = > \\ x = - 1[/tex]

PQ+RQ===> PR

[tex]6x + 25 + 16 - 3x = 3x + 41[/tex]

Answer:

There are no like terms.

Step-by-step explanation:

Since your not factoring then will simply it

Let's simplify step-by-step.

2x+22

There are no like terms.

Answer:

y=6

Step-by-step explanation:

Answer:

The 5th one

Step-by-step explanation:

Common sense

Answer:

X=11

Step-by-step explanation

[tex]5^{3+8} =5^{11}[/tex]=11

Answer:

1-the bag contains fewer than 10 carrots

2-Catherine biked farther then 10 miles

3-the chair is shorter then 20 inches

4-Carlos scored over 20 points

Step-by-step explanation:

Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem ([tex]a^{2}+b^{2}=c^{2}[/tex]) to find the length of MP.

Given:

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

To Solve:

Since we know two values of the triangle, you can use the Pythagorean Theorem ([tex]a^{2}+b^{2}=c^{2}[/tex]) to find what the other value is. The variables c and b in the formula are already given, and we need to find what a is to find the length of MP. So, plug the given values of c and b into the formula:

[tex]a^{2}+4^{2}=7^{2}[/tex]

Simplify:

[tex]a^{2}+16=49[/tex]

Subtract 16 from both sides of equation:

[tex]a^{2}=33[/tex]

Do the square root of both sides to isolate the variable a:

[tex]\sqrt{a^{2}}=\sqrt{33}[/tex]

Evaluate:

[tex]a=\sqrt{33}[/tex]  Which simplifies to [tex]a= 5.744562646....[/tex] and round it to the nearest tenth to finally get [tex]a=5.7[/tex]

Answer: The length of MP is 5.7 units

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

Look at the first image below ↓

Description of the first image:

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side b of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side c) is 13cm because it’s the length of the radius. And side a is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side a, you need to add the length of the radius (which is 13cm) to the length of side a because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

Total information given:

⇒ radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

⇒ length of the surface where the water’s filled = 20cm

⇒ hypotenuse (side c) = 13cm  – because it’s the length of the radius

⇒ side b = 10cm  – because it’s half the length of the surface where the water’s filled

To Solve

Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  ([tex]a^{2}+b^{2}=c^{2}[/tex]) to find the missing length of side a. Plug the given values of c and b into the formula:

[tex]a^{2}+10^{2}=13^{2}[/tex]

Simplify:

[tex]a^{2}+100=169[/tex]

Subtract 100 from both sides of the equation:

[tex]a^{2}=69[/tex]

Do the square root of both sides to isolate the variable a:

[tex]\sqrt{a^{2}}=\sqrt{69}[/tex]

Evaluate:

[tex]a=\sqrt{69}[/tex]  Which simplifies to [tex]a= 8.30662386....[/tex]  and round it to the nearest tenth to finally get [tex]a[/tex] ≈ [tex]8.3[/tex]

This means that 8.3 is just the length of side a, which is the length between the surface of where the water’s filled and the center of the circle. But, now you need to add 13 to 8.3 to find the total depth of the water because the length of the radius is included with the depth of the water.

So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! :)

Answer:

A. 36 x 4 = ?

Answer:

a. 36 x 4

Step-by-step explanation:

If Justin has 4 times as many coins as Ella, who has 36 coins, he would have 144 coins.

Therefore, 36 x 4 = 144

Answer:

The approximate 90% confidence interval is;

70,244 to 70,732

Step-by-step explanation:

Here, we want to calculate the approximate 90% C.I for the situation

Mathematically;

CI = mean ± (z * SD)/√n

From the question;

mean = 70,438

SD = 645.3

n = 30

we can get z from the CI table

90% CI is same as; 1.645 z-score

So , substituting these values;

CI = 70,438 ± ( 1.645 * 645.3)/√30

CI = 70,438 ± 194

So the CI = 70,438 -194 to 70,438 + 194

= 70,244 to 70,732

Answer:

B. 70,244 and 70,632

Please give me brainliest, I really need it.

Answer:

B

Step-by-step explanation:

Answer:

im pretty sure b

Step-by-step explanation:

Answer:

1st equation: -5x+y=-2

y= -2+5x

2nd equation: -3x+6y= -12

-3x+6(-2+5x)= -12

-3x-12+30x= -12

-3x+30x=0

27x=0

x=0

Answer:

lllllllllllllllllllololollllll

Step-by-step explanation:

click on the picture it will show u how to do it, if u need more help with math like this I recommend using photoxmath it's a free app.

Answer: | 5x2 | = 8

Step-by-step explanation:

x= 10 = 8

Answer:

76.25

Step-by-step ex planation:

Sorry if this isn't right, I haven't done inequalities in a while.

Answer:

24

Step-by-step explanation:

Answer:

65 + 0.20(65) = 65 + 13 = 78..they would have to sell 78 to get the bonus

Step-by-step explanation:

(65 - 60) / 65 = 5/65 = 0.0769 x 100 = 7.69 rounds to 7.7 % decrease compared to the 65 pizza's sold yesterday