What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

Answer:

90, 45

Step-by-step explanation:

0.3x = 27

x = 90

50% of 90 = 45

Question:

Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?

Answer:

[tex]Cups = 3[/tex]

Step-by-step explanation:

Given

[tex]Cups = 1\frac{1}{2}[/tex]

[tex]Cookies = 25[/tex]

Required

Number of cups when the cookies is doubled

When [tex]Cookies = 25[/tex], [tex]Cups = 1\frac{1}{2}[/tex]

So, when the number of cookies is doubled, the number of cups will also be doubled.

i.e.

[tex]Cookies = 25*2[/tex]

[tex]Cookies = 50[/tex]

and

[tex]Cups = 1\frac{1}{2} * 2[/tex]

Convert to improper fraction

[tex]Cups = \frac{3}{2} * 2[/tex]

[tex]Cups = \frac{3* 2}{2}[/tex]

[tex]Cups = \frac{6}{2}[/tex]

[tex]Cups = 3[/tex]

i.e. 3 cups are needed

Answer:

$5

Step-by-step explanation:

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

Answer:

126 degrees

Step-by-step explanation:

The sum of adjacent side of the rectangle is 180 degrees

Hence <1 + <4 = 180 degrees

Given

<4 = 54 degrees

<1 = 180 - <4

<1 = 180 - 54

<1 = 126degrees

Hence the value of <1 is 126 degrees

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Answer:

There is now 3 cups of m ilk left in the jug.

Step-by-step explanation:

12+1=13 | 13-16=3

ANSWER: 3

Answer:

Step-by-step explanation:

(-4,0)

Answer:

a

Step-by-step explanation:

The required length of FH is obtained as 64.68.

Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.

Two similar triangles are the same in shape but not in size.

The given diagram shows two similar triangles as ΔFGH and ΔKJH.

Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,

(x + 8)/32 = (4x - 25)/52

=> 52(x + 8) = 32(4x - 25)

=> 52x - 128x = -32 × 25 - 52 × 8

=> -76x = -1716

=> x = 22.42

Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68

Hence, the length of FH for the given case is 64.68.

To know more about similar triangles click on,

https://brainly.com/question/25882965

#SPJ5

Answer:

x = (-9)/5

Step-by-step explanation:

Solve for x:

(-2 x)/9 = 2/5

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-2 x)/9 = 2/5 by -9/2:

(-9 (-2) x)/(2×9) = (-9)/2×2/5

Hint: | Express (-9)/2×(-2)/9 as a single fraction.

(-9)/2×(-2)/9 = (-9 (-2))/(2×9):

(-9 (-2))/(2×9) x = (-9)/2×2/5

Hint: | Express (-9)/2×2/5 as a single fraction.

(-9)/2×2/5 = (-9×2)/(2×5):

(-9 (-2) x)/(2×9) = (-9×2)/(2×5)

Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.

(-9)/9 = (9 (-1))/9 = -1:

(-2-1 x)/2 = (-9×2)/(2×5)

Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

--1 x = (-9×2)/(2×5)

Hint: | Multiply all instances of -1 in -(-x).

(-1)^2 = 1:

x = (-9×2)/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).

(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:

Answer: x = (-9)/5

Answer:

[tex] \frac{ - 2}{9} x = \frac{2}{5} \\ x = \frac{2}{5} \times \frac{9}{(- 2)} \\ \boxed{x = \frac{(-9)}{5}}✓[/tex]

Answer: likely

Step-by-step explanation:

Answer:

[tex]\Large \boxed{-3, \ 5,\ 13,\ 21}[/tex]

Step-by-step explanation:

A function is given

[tex]f\left(x\right)=4x+1[/tex]

Plug values of x and evaluate

[tex]f\left(x\right)=4\left(-1\right)+1=-3[/tex]

[tex]f\left(x\right)=4\left(1\right)+1=5[/tex]

[tex]f\left(x\right)=4\left(3\right)+1=13[/tex]

[tex]f\left(x\right)=4\left(5\right)+1=21[/tex]

Answer:

Solution given:

f(x)=4x+1

f(-1)=-4+1=-3

f(1)=3+1=5

f(3)=4×3+1=13

f(5)=4×5+1=21

Answer:

a

Step-by-step explanation:

Answer:

its loading but ill help!

Step-by-step explanation:

*Time is the X value on the horizontal axis. There are two data series for the Y values: Actual temperatures and and predicted temperatures.*

Answer:

c edge 2021;)

Step-by-step explanation:

The slope of the equation is 2. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The graph of a linear function is shown on the grid.

From the graph, the points are (-2.5, 0) and (0, 5) and the y-intercept is 5. The slope of the line is given as,

m = (5 - 0) / (0 + 2.5)

m = 5 / 2.5

m = 2

The slope of the equation is 2. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The missing graph is attached below.

Answer:

(6 ,-7)

Step-by-step explanation:

[tex] - 5x + 8y = - 86 \\ y = 6x - 43 \\ - 5x = - 86 - 8y \\ x = 17.2 + 1.6y \\ y = 6(17.2 + 1.6y) - 43 \\ y = 103.2 + 9.6y - 43 \\ 8.6y = - 60.2 \\ y = - 7 \\ [/tex]

[tex]x = 17.2 + 1.6( - 7) \\ x = 17.2 - 11.2 \\ x = 6[/tex]

Answer:

Negative

Step-by-step explanation:

Bevause negative times positive is negative

Answer:

Negative

Step-by-step explanation:

(−3)(2))(15)

=(−6)(15)

= −90

so it's negative 90 hopefully this helps

Answer:

Step-by-step explanation:

given:

[tex]-2(c-8)[/tex]

[tex]-2(c) + -2(-8)[/tex]

[tex]-2c + (--16)[/tex]

[tex]-2c + (+16)[/tex]

[tex]-2c+16[/tex]

Answer:

Step-by-step explanation:

-2*c - (-2)*8 = -2c + 16

Answer:

A

Step-by-step explanation:

idc

Answer:pisś

Step-by-step explanation: shît

Answer:

4x + 3y = -5

x = −3 /4 y +  −5 /4

y = −4 /3 x +  −5 /3

-2x+2y = 6

x = y - 3

y = x + 3

Step-by-step explanation:

Solving for x

4x + 3y = -5

4x + 3y + −3y = −5 + −3y

4x = −3y − 5

Then you will divide both sides by 4.

4x /4  =  −3y − 5 /4

x=  −3 /4 y +  −5 /4

Solving for y

4x + 3y + −4x = −5 + −4x

3y = −4x −5

Then you will divide both sides by 3.

3y /3  =  −4x −5 /3

y =  −4 /3 x +  −5 /3

-2x + 2y = 6

Solving for x

−2x+2y+−2y=6+−2y

−2x = −2y + 6

Then you will divide both sides by -2.

−2x/ −2  =  −2y + 6/ −2

x = y − 3

Solving for y

−2x + 2y + 2x = 6 + 2x

2y = 2x + 6

Then you will divide both sides by 2.

2y /2  =  2x + 6 /2

y = x + 3

Answer: 1

Step-by-step explanation: 3/8 = 24      5/4= 20

Answer:

[tex] \frac{2}{1 } = \frac{t}{7}[/tex]

I crossed multiplied

t1=7×2

t1=14

t= 14÷1

t=14

I am not sure

Answer:

y-7= 6(x-0)

Step-by-step explanation:

y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30

Answer:

y = 8

Step-by-step explanation:

First substitute x with 6 in the equation

2y + 1/3(6) = 18

Multiple 1/3 with 6, which is 2

2y + 2 = 18

Solve the equation by subtracting 2 from both sides

2y + 2 = 18

    - 2     - 2

You get 2y = 16, so you divide 2 frm both sides

You get y = 8