Two jars of crushed ginger costs $5. How
many jars can you buy for $20?

Answer:

S₇ = 672

Step-by-step explanation:

If there are 7 consecutive numbers and the largest is 99, then there are 6 smaller consecutive numbers:

Smallest number = 99-6 = 93

The sequence is 93, 94, 95, 96, 97, 98, 99.

Where:

a₁ = 93

an = 99

n = 7

Sum of the sequence:

Sn = n/2(a₁ + an)

S₇ = 7/2 (93 + 99)

S₇ = 7/2 (192)

S₇ = 7(96)

S₇ = 672

Answer:

x/16 + 10

Step-by-step explanation:

10+(x÷16)

To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times 16/16.

10 x 16 / 16 + x/16

Since 10 x 16 / 16 and x/16 have the same denominator, add them by adding their numerators.

10 x 16 + x / 16

Do the multiplications in 10×16+x.

160 + x / 16 = x/16 + 10

Answer:

Step-by-step explanation:

Given:

Equations:

Simplify the second equation by dividing all terms by 8:

Substitute t and solve for c:

Find the value of t:

Answer:

Answer:

Step-by-step explanation:

current rate = $729/(45 hours) = $16.20/hour

increased salary = 1.10×$729 = $801.90

decreased hours = 0.90×45 = 40.5

increased rate = $801.90/(40.5 hours) = $19.80/hour

increase in rate = $19.80/hour - $16.20/hour = $3.60/hour

Answer:

90°

Step-by-step explanation:

5x+20=9x

20=9x-5x

20=4x

x=5

5x+20+9x=

5(5)+20+9(5)=

25+20+45=

90

Answer:a

Step-by-step explanation:

Answer:

D. $10,540

Step-by-step explanation:

1. 20% of $24,900 is $4,980

2. 20% of $27,800 is $5,560

3. Add $4,980 to $5,560

4. Answer is $10,540 in commission

Answer:

-6/3 is a rational

Step-by-step explanation:

its a rational because it expresses as the ratio of two integers.

Answer:

90/9 = 10, the length of the pool.  This can be proven as 10 x 9 = 90²

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

The longest side must be less than or equal to the sum of the two other sides. Only {8,16,23} and {7,14,21} are possible.

Answer:

(7, 14, 21)

(8, 16, 23)

Step-by-step explanation:

Answer:

75 students

Step-by-step explanation:

100- 36=64

64%=48

36=????

36/64 × 48

= 27 girls

total 27+48=75 students

Answer:

48 / 64% = 75 students total

Step-by-step explanation:

Answer:

Therefore  the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.

Step-by-step explanation:Pythagorean Theorem: According to this theorem the result obtained by  squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.

Hypotenuse = h

Altitude = l

Base = b

l²+b²=h²

Here 6²=36

9²=81

12²=144

15²=225

From the above it is clear that

81+144=225

⇒9²+12²=15²

Therefore  the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.

Hope this helps!

Answer:

I believe it's Therefore  the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°. I'm not so sure sorry if it's incorrect

Step-by-step explanation:

Answer:

The correct answer is "995.22 turns".

Step-by-step explanation:

The given values are:

Magnetic field,

B = 0.50 T

Current,

i = 400 A

Length of solenoid,

L = 8.0 m

As we know,

⇒ [tex]B=\mu_0ni[/tex]

then,

⇒ [tex]n=\frac{B}{\mu_0i}[/tex]

On substituting the given values, we get

⇒    [tex]=\frac{0.50}{4 \pi\times 10^{-7}\times 400}[/tex]

⇒    [tex]=\frac{0.50}{5.024\times 10^{-4}}[/tex]

⇒    [tex]=995.22 \ turns[/tex]

Answer:

8 is 73 corresponding and 9 is 107 supplementary

Step-by-step explanation:

Answer:

Step-by-step explanation:

2. ∠K≅∠L and ∠M≅∠N

3. Definition of similar triangles

4. ΔJKL ≈ ΔJMN

5. Addition Property

Answer:

You get a answer for area by multiplying height by width to find the area.

Answer:

1) 3/4

2) 7/20

3) 6/25

Step-by-step explanation:

1) 0.75

= 75/100

= 3/4

2) 0.35

= 35/100

= 7/20

3) 0.24

= 24/100

= 6/25

Hope it helps!

Answer:

[tex]\boxed{\textsf{ The measure of unknown angle is \textbf{ 37}$^{\circ}$.}}[/tex]

Step-by-step explanation:

A right angled triangle is given to us with the sides 3 and 4 . We need to find the value of unknown angle that is [tex]\sf \angle ABC [/tex] .

So , here the measure of hypotenuse is 5 units .

[tex]\sf \implies Hypotenuse = 5 \ units .[/tex]

And the measure of base is 4 units .

[tex]\sf\implies Base = 4 \ units . [/tex]

Let us take the unknown angle be [tex]\theta [/tex] . That is let us take ,

[tex]\sf \implies \angle ABC =\theta [/tex]

So here we can use the trigonometric ratios of cosine . The cosine can be expressed as a ratio of base and hypotenuse of a right angled triangle . Here ∆ABC . So , cosine is ,

[tex]\qquad\boxed{\boxed{\sf cos\theta =\dfrac{base}{hypotenuse}}}[/tex]

Put on the respective values ,

[tex]\sf\implies cos\theta =\dfrac{base}{hypotenuse}\\\\\sf\implies cos\theta =\dfrac{4}{5}\\\\\sf\implies \theta =cos^{-1}\bigg(\dfrac{4}{5}\bigg) \\\\\sf\implies \boxed{\pink{\sf \theta = 37^{o} . }}[/tex]

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x

Answer:

The equation B can be used to solve for x

B. 7x + 11x = 90

Answer:

Equation: y = 2x

Graph: see attachment

Step-by-step explanation:

Pieces of paper = x

Number of Valentines = y

The equation is a proportional equation and can be represented as y = kx

k is the constant of proportionality

k = y/x

Using (2, 4),

k = 4/2 = 2

To find the equation, substitute k = 2 into y = kx

Thus:

y = 2x

The graph has been plotted and attached below.

Answer:

1. whale 2. crowded boat

Step-by-step explanation:

on edge

Answer:

1. whale 2. crowded boat yw

Step-by-step explanation:

Answer:

[tex]1 \frac{1}{3}[/tex]

Step-by-step explanation:

rate of change = Δy / Δx = y2 - y1/x2 - x1

                                         = -3 - 5/-6 - 0

                                         = - 8/-6

                                         = 1 and 1/3rd

Answer:

I think the outliers are 2, 5, 6, and 6. Not sure about 8 though

Answer:

[tex]a = -5[/tex]

Step-by-step explanation:

Given

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Required

Solve for a

[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]

Add 6 to both sides

[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]

[tex]\sqrt{9 - 8a} = 7[/tex]

Square both sides

[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]

[tex]9 - 8a = 49[/tex]

Subtract 9 from both sides

[tex]9-9 - 8a = 49-9[/tex]

[tex]- 8a = 40[/tex]

Make a the subject

[tex]a = -\frac{40}{8}[/tex]

[tex]a = -5[/tex]

Answer:

3/8

Step-by-step explanate

Answer:

b is correct

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

Example of how to find the determinant of a 2×2 matrices is as shown;

[tex]\left[\begin{array}{ccc}a&b\\c&d&\end{array}\right][/tex]

= (a*d)-(b*c)

= ad - bc

Applying this to solve the given questions

1) (3*4) - (-3*-1)

= 12 - (3)

= 9

2) (-12*5)-(-1*12)

= -60 - (-12)

= -60+12

= -48

3) (0*4)-(-1*17)

= 0-(-17)

= 0+17

= 17

4) (8*-1)-(-4*-1)

= -8-(4)

= -8-4

= -12

5) (2*-1)-(2*-1)

= -2-(-2)

= -2+2

= 0

6) 1(1) - 0(0)

= 1 - 0

= 1

Answer:

M = -4/3. B = 8

Negative slope

Step-by-step explanation:

But not sure if it’s proportional or not