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Ira Lisetskai [31]

3 years ago

8

ky has 3 times more books than grant grant has 6 fewer books than Jaime if the total combined number of books is 176 how many bo

oks does Jaime have?

1 answer:

finlep [7]3 years ago

5 0

Set up the equation

x+(x-6)+3(x-6)=176

x+x-6+3x-18=176

5x-24=176

5x=176+24

5x=200

x=40

Jamie has 40 books

Grant has 34

Ky has 102

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6|5x-4|-4=32 solve for x

Juliette [100K]

Answer:

x=2

Step-by-step explanation:

7 0

2 years ago

Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.

Leya [2.2K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}$

$\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6$

6 0

3 years ago

I live in United States and I want to move to Scotland I'm trying to understand the conversion of money I understand one US doll

NeTakaya

4400 because you multiply 5000 with 0.88 to get your answer.

4 0

3 years ago

Read 2 more answers

TWVU is a trapezoid with midsgment FG find the value of x please help

photoshop1234 [79]

Answer:

Find each measure.

1.

SOLUTION:

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:

5

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

are the bases and is the

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:

1.2

CCSS SENSE-MAKING If ABCD is a kite, find

each measure.

6. AB

SOLUTION

6 0

3 years ago

Here's a question ~

Gre4nikov [31]

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

<u>Observations:</u>

It has a slope of ±√3 and the y- intercept of 2.
There is no horizontal shift, so the the y-axis is the line of symmetry.
The y-axis is also an angle bisector of the two lines.
The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

<u>The angle YAP₂ is:</u>

arctan (1/√3) = 30°

<u>The distance AY is:</u>

AY = AP₂ cos 30° = 5*√3/2

<u>The distance from the x-axis to the point Y is:</u>

5√3/2 + 2, added the y- intercept of the graphed lines

<u>The coordinates of the point Y:</u>

(0, 5√3/2 + 2)

3 0

3 years ago