[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]

[tex]Area = \frac{16 \times 7}{2} \\ [/tex]

[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]

[tex]Area = 8 \times 7[/tex]

[tex]Area = 56 \: \: {in}^{2} [/tex]

**Answer:**

**Area: **[tex]56in^2[/tex]

**Step-by-step explanation:**

The formula for the area of a trapezoid is:

[tex]A = \frac{a+b}{2}h[/tex]

so replacing with the given values we get:

[tex]a = 6in\\h = 7in\\b = 10in[/tex]

[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]

So our final answer is [tex]56in^2[/tex]

Solveee

8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4

118 - 65x - 123 = 5x + 35 - 20x

**Answer:**

[tex]x = 3[/tex]

2) [tex]x = - \frac{4}{5} [/tex]**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

distribute the 8,17,and 4 throughout the parentheses to get

8x-8+17x-51=16x-36+4

combine like terms

25x-59=16x-32

subtract 16x from both sides and add 59 to both sides to get

9x=27

divide both by 9

x=3

12×12 get this right i will give you brainliest

**Answer:**

144

**Step-by-step explanation:**

12 x 2 =24 12 x 10 =120 120 + 24 =144

Hi, let's solve our equation.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12\cdot12[/tex]

_______________

we can use multiple methods to solve this problem.

Distributive property Regular multiplication Fraction division________________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]

Here is how it would look to do distributive property

[tex](10\cdot12)+(2\cdot12)[/tex]

Follow PEMDAS rule

Parenthesis Exponents Multiplication or Division Addition or SubtractionSolve it and we get the answer of 144.

________________

[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]

just multiply [tex]12\cdot12[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]

here is how it would look like.

[tex]\frac{12}{1}\div\frac{1}{12}[/tex]

Follow the rule, also known as keep change flip, which makes it look like

[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

144

Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.

\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}

Step 1

Step 2

Step 3

Step 4

Step 5

93

×51

3

90

150

+4,500

4,743

1×3 ones

1×9 tens

50×3 ones

50×9 tens

Since **molly's solution** tally's with the **given solution**, hence *Molly's solution is correct.*

Given the working on a** partial product** of **93 and 51 **carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}[/tex]

This **partial product **can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the **distributive law:**

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since **molly's solution** tally's with the **given solution**, hence *Molly solution is correct.*

Learn more about **partial product** at: https://brainly.com/question/24716925

I was absentee and i dont know how to solve it help plz

**Answer:**

-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)

**Step-by-step explanation:**

You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1

3 right= 3

-1/3

Find the values of x and y that makes these triangles congruent by HL.

**Answer:**

What is HL? holey logic? hawk a loogy? half lies? honey lemon? heavenly lampshade? hand lotion?

**Step-by-step explanation:**

as AB = DE, the only options given where x = y - 1 are the the second and third.

as AC and AD are equal from ASA

3x - 2 = 2y + 1

3x - 3 = 2y

y = 1.5x - 1.5

the only x,y pair that fits is **x = 5, y = 6**

Write the expression in standard form,

(9+2i)(5-3i)

[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: 51 - 17i[/tex]

refer to the attachment for explanationhope it helpsFill in the blanks to solve 900 x 6

**Answer:**

The answer is 900 ×6= 5,400 u can use a calculator

A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are born each year.

a. Write a linear function to estimate how many deer will be in the park in x years.

b. Use the linear function to predict how many deer will be in the park in 3 years.

c. In how many years will there be 5,325 deer left in Sharon Woods Park?

The **linear equation **used to represent this situation is **y = -75x + 6000**

A** linear equation** is in the form:

**y = mx + b**;

where **y, x** are **variable**, **m** is the** slope **of the line and **b** is the** y intercept**.

Let **y** represent the** amount of deer** present in **x years**. There are 6000 deer presently, hence** a = 6000**. Also 75 more deer die than are born each year. Hence **m = -75**.

The **linear equation** is given by:

**y = -75x + 6000**

In 3 years:

y = -75(3) + 6000

**y = 5775**

For there to be 5325 deer:

5325 = -75x + 6000

**x = 9 years**

Find out more at: https://brainly.com/question/21105092

A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

PLEASE HELP! Look at the image and please help me

**Answer:**

**Step-by-step explanation:**

its b

I have invested for a loan of Php 5,000, and I need to repay in one lump sum at the end of one year. What annual interest rate corresponds to a lump-sum payment of Php 5,425?

Based on the information given, it can be deduced that the **annual interest **rate will be **8.5%**.

Principal = 5000

Interest = 5425 - 5000 = 425

Time = 1 year

Rate = Unknown.

**Simple Interest = PRT / 100**

425 = (5000 × R × 1)/100

42500 = 5000R.

R = 42500/5000

**R = 8.5%**

In conclusion, the correct option is **8.5%.**

Learn more about the** interest rate** on:

https://brainly.com/question/25767935

Circle A was dilated with the origin as the center of dilation to creat circle b

*Answer: The answer is B.)*

*Have a great Day/Night!*

Solve the following system of equations.

y = 2x + 1

y = x2 – 5x + 7

The **solution** of the **system of equation** is (6, 13) and (1, 3).

The system of equation can be solved using **substitution method.** Therefore, let's solve the **system of equation** by substitution method.

y = 2x + 1

y = x² - 5x + 7

substitute the value of y in equation(ii)

2x + 1 = x² - 5x + 7

x² - 5x + 7 - 2x - 1 = 0

x² - 7x + 6 = 0

x² - x - 6x + 6 = 0

x(x - 1) - 6(x - 1) = 0

(x - 6)(x - 1) = 0

x = 6 and x = 1

Hence,

when x = 6

y = 2(6) + 1

y = 12 + 1 = 13

when x = 1

y = 2(1) + 1

y = 3

learn more on** system of equation** here:https://brainly.com/question/20023128

#SPJ1

If Y varies directly as x and y= 49 when x= 40, find y if x =34

**Answer:**

y = 41.65

**Step-by-step explanation:**

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65

Factorise it

(x + 2y)² – (x – 2y)²

[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]

True or False (See Image)

The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.

Answer: true

Step-by-step explanation:

Which of the following sets is equal to {1, 2, 3, ...)?

{x| xER, x>1}

{x|xER, x> or equal to 1}

{x|xEN, x> or equal to 1}

**Answer:**

[tex]\{x~ | ~x\in \mathbb{N}, x \geq 1\}[/tex]

**Step-by-step explanation:**

Which fraction is the same as 3.375?

**Answer: 27/8 or 3 3/8**

**Step-by-step explanation:**

Write 3.375 as 3.375/1

then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.

Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.

If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times. That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same. ur final answer as a mixed number is 3 3/8.

You wish to buy a new skateboard. To earn money, you sell your baseball cards to

your friends for $2.50 each. If the new skateboard costs $98, what is the minimum number

of baseball cards you will have to sell?

So first you sell your baseball cards for $2.50 and you need $98 THEN

The minimum cards u need to sell is

98/2.50 which is 39.2 but you can’t sell cards in fraction so the final answer is 40

The minimum cards u need to sell is

98/2.50 which is 39.2 but you can’t sell cards in fraction so the final answer is 40

Evaluate 3x + 34 if x = 5.

**Answer:**

49

**Step-by-step explanation:**

3x + 34

x = 5

3 * 5 + 34

15 + 34

49

3x+34

3(5)+34

15+34

49

X=49

3(5)+34

15+34

49

X=49

Find the quotient.

32 ÷ 0.08

**Answer:**

The quotient of the equation is 400

**Answer:**

hi

**Step-by-step explanation:**

the correct answer is 400

AB:BD = 3:4

AC:CD = 3:2

Work out AB:BC:CD

**Answer:**

15:6:14

**Step-by-step explanation:**

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

what is an equation of the line that passes through the points (2,-5) and (-3,-5)?

**Answer:**

y = -5

**Step-by-step explanation:**

yeah-ya....... right?

**Answer:**

**Step-by-step explanation:**

as both y values are -5, slope is zero and y intercept is -5

y = 0x - 5

**y = -5**

1/3(x+6)=2/3(x-9)

multi step equation

[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]

Ok done. Thank to me :>

Put these fractions in order from greatest to least:

**Answer:**

[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]

**Step-by-step explanation:**

[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]

HELP

Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size

reduction.

PART A

Write a percent equation that represents

the relationship of the height of the first

copy to the height of the original photo.

PART B

Lyndie wants to make another copy that

will have a height of 17 cm. The copy

machine settings increase or decrease in

increments of 5%. Which photo should she

make her copy from, the original or her

first copy? Explain.

Answer: 5+ba*7= 88

Step-by-step explanation:

For the line segment with endpoints M(m, 4) and N(-2, n) , the midpoint is (3, 1) . Find m and n.

**Answer:**

**Step-by-step explanation:**

(m + (-2)) / 2 = 3

(m + (-2)) = 6

**m = 8**

(4 + n) / 2 = 1

4 + n = 2

**n = - 2**

Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)

ANSWER: y= -4x+1

slope-intercept form is y=mx+b

to find m, which is the slope, we used

m=(y2-y1)/(x2-x1) (rise over run)

=(-15-(-3)/4-1)

= -12/3

= -4

to find b, choose one of the points and use the slope -4 and plug it in:

y=m(x)+b

-3= -4(1)+b

-3= -4+b

1=b

slope-intercept form is y=mx+b

to find m, which is the slope, we used

m=(y2-y1)/(x2-x1) (rise over run)

=(-15-(-3)/4-1)

= -12/3

= -4

to find b, choose one of the points and use the slope -4 and plug it in:

y=m(x)+b

-3= -4(1)+b

-3= -4+b

1=b

**Answer: b=7**

**Step-by-step explanation:**

simplify (x^4-4x^3+9x^2-5x) (x^3-3x^2+7) -30x^2+25x^4

**Answer:**

x^7-7x^6+21x^5-13x^3+33x^2-35x

**Step-by-step explanation:**

there you go!

.03 + six tenths equals

0.63 (6 tenths = 0.6)

0.63 because 0.6 is six tenths

Laura was working the midnight shift last weekend. A young pregnant girl was visiting a sibling in the hospital and was leaving at the same time. Laura noticed that she did not have a coat on and it was very cold. Laura joked with her about the cold and the girl started to cry. She told Laura that she did not have a coat and could not afford one. Laura immediately gave the girl her coat and told her to keep it. What quality does Laura not exhibit in this situation? empathy reliability altruism compassion
i need help asap)))))))))))))))))))))
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