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3 years ago

Wich best describes how to solve the equation 26×=74

Mathematics

2 answers:

Mashutka [201]3 years ago

5 0

Subtract 26 from both sides then you get x=48 so it will look like this. 26x=74
x=48

evablogger [386]3 years ago

3 0

26x = 74
x = 74 ÷ 26
x = 37 / 13

Hope I can help

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Solve for x in the equation:log6-2logx=1.4

Annette [7]

9514 1404 393

Answer:

x = (√6)/10^0.7 ≈ 0.488737

Step-by-step explanation:

It can work reasonably well to take antilogs first.

$\log(6)-2\log(x)=1.4\\\\\dfrac{6}{x^2}=10^{1.4}\\\\\dfrac{6}{10^{1.4}}=x^2\\\\x=\dfrac{\sqrt{6}}{10^{0.7}}\approx0.488737$

7 0

2 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

3 years ago

prem gave 1/3 of his property for charity of the rest he gave 2/3 to his wife and rest divided equally between his son and daugh

Anna11 [10]

Given parameters:

Fraction given to charity = $\frac{1}{3}$

Fraction given to wife = $\frac{2}{3}$

Unknown:

Fraction given to son and daughter =?

Solution:

Let the total property = x

Fraction given to charity = $\frac{1}{3} x$

Fraction given to wife = $\frac{2}{3} x$

The remaining was given to son and daughter = F

So;

Total property = fraction given to charity + fraction given to wife + fraction given to son and daughter

x = $\frac{1}{3} x + \frac{2}{3} x + F$

F = x - ( $\frac{1}{3} x + \frac{2}{3} x$ )

F = 0

The son and daughter will not inherit anything

8 0

3 years ago

Laura got a discount of 100 dollars on her purchase of a 5775 bed.What is the percent of decrease?

matrenka [14]

Remember that percent means parts out of 100
x/100

discount is the decrease
so we divide the decrease by the original total and get
100/5775=0.0173
convert to fraction
0.0173/1
make bottom number 100
multiply by 100/100
1.73/100=1.73%
round
2%

5 0

3 years ago

Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c

il63 [147K]

Answer:

3.3 cm

Step-by-step explanation:

From the above question, we can draw out a proportion

= Small pentagon = Large pentagon

= x/7 = 7/15

Cross Multiply

x × 15 = 7 × 7

15x = 49

x = 49/15

x = 3.2666666667 cm

Approximately= 3.3 cm

7 0

3 years ago

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