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Answer:

x = -9/4

Step-by-step explanation:

First multiply 3 on both sides. One side will be -9 and the other 4x. Then divide 4 on both sides to get x = -9/4 or in decimal form x = -2.25

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

Answer:

Slope = -2

y-intercept = -18

Step-by-step explanation:

In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.

Hope this helps you :)

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Let's start by using variables to represent the salaries of Saima and Atika. Let S be Saima's salary, and A be Atika's salary. Then, we can write:

We know that their total salary is Rs. 35,000, so we can write an equation:

S + 3S + 9S = 35,000

Simplifying the left side, we get:

13S = 35,000

Dividing both sides by 13, we get:

S = 2,692.31 (rounded to two decimal places)

Now that we know Saima's salary, we can find Farheen's salary:

Farheen's salary = 3S = 3 × 2,692.31 ≈ Rs. 8,076.92

Therefore, the closest answer choice is A. 10,000, which is not the exact value but is the closest option to the calculated value.

In this math problem, using the given ratios and total salary, we find Saima's salary is Rs. 5000. As Farheen's salary is three times Saima's, Farheen earns Rs.15,000.

According to the problem, Farheen's salary is three times Saima's salary, and Saima's is one-third of Atika's. Let's denote Saima's salary as 'x'. Hence, Farheen's salary is '3x' and Atika's salary is '3x'. All their salaries add up to Rs.35,000 as per the question. Therefore, the equation becomes as follows:

x + 3x + 3x = 35000. This reduces to 7x = 35000 after adding the like terms on the left hand side of the equation. Dividing each side by 7, we find 'x = 5000', which is Saima's salary.

Therefore, Farheen's salary is three times Saima's, so it equals '3 * 5000 = 15000', which matches with option C from the list. So, Farheen's salary is Rs. 15,000.

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These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

A is the correct answer

Answer:

The answer would be 179.4 km^2

Step-by-step explanation:

To find the area of a trapezoid, the formula is: A= a+b/2 h

I just took a screenshot of the work to make it easier

Hope it helps

Answer:

1/3

Step-by-step explanation:

We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is

(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =

1.5 / 4.5 = 1 / 3. Hope this helps!

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

\(1 \frac{4}{5} - \frac{1}{3} \\ = \frac{9}{5} - \frac{1}{3} \\ = \frac{(27 - 5)}{15} \\ = \frac{22}{15} \\ = 1 \frac{7}{15} \)

Answer:

3:1 ratio

Step-by-step explanation:

Answer:

its three (c)

Step-by-step explanation: for every one female bare is 3 cubs

Answer:

i think is 167

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.

-LavenderVye

Answer:

30º= 1:00

90º=9:00

60º=2:00

150º=5:00

(The 1:00 'o clock is 30º, right? The 2:00 o' clock is double the degrees, 60º,  or 30+ 30= 60)

Answer:

Step-by-step explanation:

All the options show functional relationship but the first one

a) miles per gallon, gallons in tank

b) length of shadows/time of day

c) temperature in F, temperature in C

d) number of employees, number of hours worked

Answer:

(number of employees, number of hours worked)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. \(x^2/64 - 5y^2/36=1\)

Step-by-step explanation: a p e x

Answer: Seven hundred sixty-two and ninety-five thousandths

Step-by-step explanation:

Answer:

Y=X+3

Step-by-step explanation:

Answer: x=14 y=10

Step-by-step explanation:

For this question we can discard the options 120º and 125º since the angle is on the first quadrant.

Now we need to find the correct option between 60º and 55º

From the figure given it seems that the best answer is 60º since 55º is not enogh for the inclination of the angle provided

Answer:

the answer is d.

Step-by-step explanation:

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Answer:

4-12x

Step-by-step explanation:

The volume of a rectangular box= 1056 ft³

The surface area of a rectangular box= 632 square ft

Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.

Volume was measured in ancient times using similar-shaped natural containers, and later, standardized vessels. Arithmetic formulas can quickly compute the volume of some simple three-dimensional shapes.

Given,

Length of the rectangular box= 11ft

Width of the rectangular box= 8 ft

Height of the rectangular box= 12 ft

Volume= Length× Width× Height

Volume= 11×8×12

=1056 ft³

Therefore, volume= 1056ft³

Surface area of a rectangular box is,

1 and 2 surfaces, 11 × 8 ===>

Surface area = 2× (11× 8) =  176 square ft

1 and 3 surfaces 11 × 12 ===>

Surface area = 2× (11×12) = 264 square inches

3• 2 surfaces 12 × 8 ===>

Surface area = 2× ( 12 × 8) = 192 square inches

Adding all the surface areas

176 +264 +192= 632  square ft.

The surface area of a rectangular box= 632 square ft

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