Find the value of x
I’ll mark the BRAINEST

Answer:

The amount of more money than Antonia that Cal will have in his account after 12 months is $100

Step-by-step explanation:

The given parameters are;

The amount Antonia currently has in her savings account, P₁ = $4,500

The amount Antonia saves per month, S₁ = $150

The amount Cal currently has in his savings account, P₂ = $3,400

The amount Cal saves per month, S₂ = $250

Let the

The amount, 'A₁', Antonia has in 12 months is given as follows;

A₁ = P₁ + 12 × S₁

∴ A₁ = $4,500 + 12 × $150 = $6,300

Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;

A₂ = P₂ + 12 × S₂

∴ A₂ = $3,400 + 12 × $250 = $6,400

The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;

A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.

The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.

Answer: 6 and 7

Step-by-step explanation:

Let the numbers be x and x + 1

We can form and equation as:

2(x²) + (x+1)² = 121

2x² + (x + 1)(x + 1) = 121

2x² + x² + x + x + 1 = 121

3x² + 2x = 121 - 1

3x² + 2x = 120

3x² + 2x - 120 = 0

3x² - 18x + 20x - 120 = 0

3x(x - 6) + 20(x - 6)

Therefore, x - 6 = 0

x = 0 + 6

x = 6

The numbers are 6 and 7

The two numbers given in the statement is required.

The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]

Let [tex]x[/tex] be the first number

[tex]x+1[/tex] be the next consecutive number

From the statement we get

[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]

If [tex]x=6[/tex]

the other number is [tex]x+1=6+1=7[/tex]

If [tex]x=-\dfrac{20}{3}[/tex]

the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]

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Answer:

x =97

Step-by-step explanation:

perpendicular (p) = 65

base (b) = 72

hypotenuse (h) = ?

We know by using Pythagoras theorem

h = √p² + b²

= √ 65² + 72²

= √9409

= 97

The system of linear inequalities to model this situation is 4x+2y≤32, x≥2, y≥4. The correct option is (a).

The inequality 4x + 2y ≤ 32 represents the total number of hours available per week, which is limited to 32 hours.

The inequality x ≥ 2 represents that the carpenter must make at least 2 large bookcases per week.

The inequality y ≥ 4 represents that the carpenter must make at least 4 small bookcases per week.

These inequalities ensure that the carpenter stays within the time constraint of 32 hours and fulfills the minimum quantity requirements for both large and small bookcases.

Thus, the correct option is (a).

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Answer:

929

Step-by-step explanation:

Answer:

24 and 8

Step-by-step explanation:

solve by trial and error

192/8 = 24

24+8 = 32

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.

Tenley wants to exercise at least 15 hours per week, therefore:

x + y ≥ 15        (1)

Tenley cover at least 90 miles total in her weekly workout, therefore:

3x + 10y  ≥ 90     (2)

x ≤ 12, y ≤ 10        (3)

Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:

(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)

Answer:

A pair of fractions as a pair of fractions with the smallest common denominator are [tex]\frac{4}{6}[/tex] and [tex]\frac{5}{6}[/tex] .

Step-by-step explanation:

Given fractions are [tex]\frac{2}{3}[/tex] and [tex]\frac{5}{6}[/tex]

Find L.C.M (least common multiple) of [tex]3[/tex] and [tex]6[/tex]

3 = 3 × 1

6 = 2 × 3 × 1

L.C.M (least common multiple) of [tex]3[/tex] and [tex]6[/tex] is [tex]3[/tex]

Multiply numerator and denominator of [tex]\frac{2}{3}[/tex] by [tex]2[/tex].

[tex]\frac{2}{3}=\frac{2(2)}{3(2)} =\frac{4}{6}[/tex]

Therefore, pair of fractions as a pair of fractions with the smallest common denominator are [tex]\frac{4}{6}[/tex] and [tex]\frac{5}{6}[/tex]

Answer:

25.12 cm

Step-by-step explanation

circumfernce=3.14n

c=3.14·8

c=25.12

Answer:

21

Step-by-step explanation:

Since there are 7 days in a week, we'll multiply 3 by 7, resulting in an answer of: 21.

Answer:

just crop it ok

Step-by-step explanation:

I'm not sure ok

Answer:

32

Step-by-step explanation:

80/100 = .8

.8 x 40 = 32 games won

Answer:

32

Step-by-step explanation:

80% of the games were won.

v. out of 40 games were won

Take 80% and divide it by 100

80%/100 = 0.8

Now multiply it by 40.

0.8 * 40 = 32

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²A = sec²A , secA = [tex]\frac{1}{cosA}[/tex], cosecA = [tex]\frac{1}{sinA}[/tex] , cotA = [tex]\frac{cosA}{sinA}[/tex] , tanA = [tex]\frac{sinA}{cosA}[/tex]

Consider the left side

[tex]\frac{(1+tan^2A)cotA}{cosec^2A}[/tex]

= [tex]\frac{sec^2AcotA}{cosec^2A}[/tex]

= [tex]\frac{\frac{1}{cos^2A}(\frac{cosA}{sinA}) }{cosec^2A}[/tex]

= [tex]\frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }[/tex]

= [tex]\frac{1}{cosAsinA}[/tex] × sin²A

= [tex]\frac{sinA}{cosA}[/tex]

= tanA = right side , thus proven

Answer:

9×7=63

the answer is 63

Answer:

-6

Step-by-step explanation:

Answer:

[tex]x=-\frac{8}{19}[/tex]

Step-by-step explanation:

2(4x + 5) = 9(3x + 2)

Solve for x

___________________

We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.

2(4x + 5) = 9(3x + 2)

Distribute :

(2(4x) + 2(5)) = (9(3x) + 9(2))

8x + 10 = 27x + 18

Subtract 10 from both sides :

8x = 27x + 8

Subtract 27x from both sides :

-19x = 8

8 = -19x

Divide both sides by -19 :

[tex]x=-\frac{8}{19}[/tex]

6x + 52 > 130

Subtract 52 from both sides:

6x > 78

Divide both sides by 6:

X > 78/6

X > 13

Ill tell you the answer if u mark me brainliest

Answer:

A. 9

Step-by-step explanation:

y2 - y = m(x2 - x) formula

7 - -2/ -6 - -7 = m

9/1 = m

9 = m

The equation would have a slope of 9.

Answer:

200 - 200

-147 - 53

90  -  143

-229 - -86

86 - 0

Step-by-step explanation: im not sure on the last two but i tried?

Step-by-step explanation:

[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]

Answer:

3x+16=0

x=-16/3

is your answer

Answer:

3x+16= 125 answer is 109/3

Step-by-step explanation:

D is the 4th letter of the alphabet and u have 5 d which means 4×5=20(repeat the same step for the other letters

J is 10thh so 7×10=70

Next letter is F, you have 2 f's

F is the 6th letter of the alphabet

6×2=12

W which is the the last letter we have to do here is the 23rd letter of the alphabet and u have 1 so 23×1 is 23

Answer:

6.25

Step-by-step explanation:

Volume  of a rectangular prism is

V = length * width * height

150 = 6*4 * h

150 = 24h

Divide each side by 24

150/24 = h

6.25 = h

Answer:

6.25

Step-by-step explanation:

Answer:

You would receive $510.08 in return.

Step-by-step explanation:

In order to find the answer, you can use the formula to calculate the future value:

FV=PV*(1+i)^n

FV=future value

PV= present value= 500

i= interest rate=0.03/12=0.0025 per month

n= number of periods of time= 8

Now, you can replace the values in the formula:

FV=500*(1+0.0025)^8

FV=500*(1.0025)^8

FV=510.08

According to this, the answer is that you would receive $510.08 in return.

Answer:

I think it is $15

Step-by-step explanation:

Taking the test now.

Answer:

1e1e

Step-by-step explanation:

The pitch line length of the garage with the skillion roof, with the given dimensions and eave overhangs, is approximately 7.5 meters.

To calculate the pitch line length for the garage with a skillion roof, we need to consider the dimensions provided in the diagram and add the eave overhangs.

Let's assume the length of the garage is L meters, and the height from the top of the walls to the peak of the roof is H meters.

Calculate the pitch line length of the roof:

The pitch line length is the diagonal length of the triangular roof face. We can use the Pythagorean theorem to find it.

Pitch Line Length (PL) = √(L² + H²)

Add the eave overhangs:

The eave overhang is 500 mm on each side, so we need to add 1 meter (1000 mm) to the pitch line length.

Total Pitch Line Length (TPL) = PL + 1000

Now, let's calculate the pitch line length to the nearest millimeter.

For example, let's assume L = 6 meters and H = 2.5 meters.

Calculate the pitch line length (PL):

PL = √(6² + 2.5²)

PL = √(36 + 6.25)

PL = √42.25

PL = 6.5 meters

Add the eave overhangs:

TPL = 6.5 + 1

TPL = 7.5 meters

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Answer:

I believe it would be A 120 sorry if I'm wrong

Answer: D) 1/32

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

you just divide 37.50 by 5 to get the price of an individual senior ticket price

Answer:

5q+9

Step-by-step explanation:

1. combine like terms

6q-q=5q and 4+5=9

2. combine those two

5q+9