to write
algebraically
following expressions:
the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
number x.
5. Three-quarters of a
number x.

Answer in fraction form = 83/5

Answer in decimal form = 16.6

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Explanation:

All eight angles shown are 90 degrees since lines a and c are perpendicular to each other. Perpendicular lines form right angles.

Set 5x+7 equal to 90 and solve for x

5x+7 = 90

5x = 90-7

5x = 83

x = 83/5 is the fraction form of the answer

x = 16.6 is the decimal form of the answer

Answer:

83/5 = 16.6

Step-by-step explanation:

5x+7 = 90

5x = 90-7     subtract 7 from both sides.

5x = 83

x = 83/5   = 16.6    

Answer:

x < -4

Step-by-step explanation:

x + 10 < 6

    -10 < -10

      x < -4

Answer:  9

Step-by-step explanation:

12m + 80 = 188

        -80    - 80

12m = 108

12m = 108

12         12

m = 9

Step-by-step explanation:

1) 3x - 4 = 86 + 24

→ 3x - 4 = 110

→ 3x = 110 + 4 = 114

→ x = 114/3 = 38

therefore, value of x is 38.

2) -10x = 30 + 90

→ -10x = 120

→ x = 120/10 = 12

→ x = 12

therefore, value of x is 12.

3) -8x + 23 + 51 = 130

→ -8x + 74 = 130

→ -8x = 130 - 74

→ -8x = 56

→ x = 56/8

→ x = 7

therefore, value of x is 7.

4) -9 + 2x = 59 + 90

→ -9 + 2x = 149

→ 2x = 149 + 9

→ 2x = 158

→ x = 158/2 = 79

→ x = 79

therefore, value of x is 79.

hope this answer helps you dear...take care !

The last option; intersecting, but not perpendicular

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=8^2-(4\sqrt{3})^2[/tex]

[tex]\\ \sf\longmapsto P^2=64-48[/tex]

[tex]\\ \sf\longmapsto P^2=16[/tex]

[tex]\\ \sf\longmapsto P=4[/tex]

________

[tex] \: [/tex]

a² = c² - b²

a² = 8² - (4√3)²

a² = 64 - 48

a² = 16

a = √16

a = 4

Answer:

upp7fpfpzfpufpufpufpufpu

Step-by-step explanation:

uxcicicovovovovovvNC coordinatorby McKnight

Answer:

800 miles

Step-by-step explanation:

You would make the equation .15x+ $200 and put that equal to 340 to get the equation:

.15x+$200=340

      -$200        (subtract the like term first)

.15x=120

.15x over 120

Your answer comes out to be x=800.

Answer:

A. 1, 2, 3, 4

Step-by-step explanation:

I. When sample space means all possible case could happend.

In this case we have 4 equal sections numbered 1 to 4.

So from 1st section to 4th sections could happend fairly.

That makes 1, 2, 3, 4 is the right answer.

Hope that help :)

(d) 2 and 3 because they each have three terms.

Answer:

3.5x + 13.6 - 7y -5.4

Step-by-step explanation:

Perimeter is equal to 2 times the sum of the length and width

2(1.75x+6.8-3.5y-2.7) = 3.5x + 13.6 - 7y -5.4

Answer:51273.816238

Step-by-step explanation:

Answer:

they have 490 to buy bean bags

If there is no discount, the amount they can buy is 490/40=12,25>10, so they will get a discount

call the bean bag is X we have: X*40*(100%-10%) ≤ 490

⇒X≤13,6

they can buy at most 13 bag and they will have left 490-40*13*90%=22

Step-by-step explanation:

Answer:

The northern lighthouse is approximately [tex]24.4\; \rm mi[/tex] closer to the boat than the southern lighthouse.

Step-by-step explanation:

Refer to the diagram attached. Denote the northern lighthouse as [tex]\rm N[/tex], the southern lighthouse as [tex]\rm S[/tex], and the boat as [tex]\rm B[/tex]. These three points would form a triangle.

It is given that two of the angles of this triangle measure [tex]40^{\circ}[/tex] (northern lighthouse, [tex]\angle {\rm N}[/tex]) and [tex]21^{\circ}[/tex] (southern lighthouse [tex]\angle {\rm S}[/tex]), respectively. The three angles of any triangle add up to [tex]180^{\circ}[/tex]. Therefore, the third angle of this triangle would measure [tex]180^{\circ} - (40^{\circ} + 21^{\circ}) = 119^{\circ}[/tex] (boat [tex]\angle {\rm B}[/tex].)

It is also given that the length between the two lighthouses (length of [tex]\rm NS[/tex]) is [tex]75\; \rm mi[/tex].

By the law of sine, the length of a side in a given triangle would be proportional to the angle opposite to that side. For example, in the triangle in this question, [tex]\angle {\rm B}[/tex] is opposite to side [tex]\rm NS[/tex], whereas [tex]\angle {\rm S}[/tex] is opposite to side [tex]{\rm NB}[/tex]. Therefore:

[tex]\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of NB}}{\sin(\angle {\rm S})} \end{aligned}[/tex].

Substitute in the known measurements:

[tex]\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of NB}}{\sin(21^{\circ})} \end{aligned}[/tex].

Rearrange and solve for the length of [tex]\rm NB[/tex]:

[tex]\begin{aligned} & \text{length of NB} \\ =\; & (75\; \rm mi) \times \frac{\sin(21^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 30.73\; \rm mi\end{aligned}[/tex].

(Round to at least one more decimal places than the values in the choices.)

Likewise, with [tex]\angle {\rm N}[/tex] is opposite to side [tex]{\rm SB}[/tex], the following would also hold:

[tex]\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of SB}}{\sin(\angle {\rm N})} \end{aligned}[/tex].

[tex]\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of SB}}{\sin(40^{\circ})} \end{aligned}[/tex].

[tex]\begin{aligned} & \text{length of SB} \\ =\; & (75\; \rm mi) \times \frac{\sin(40^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 55.12\; \rm mi\end{aligned}[/tex].

In other words, the distance between the northern lighthouse and the boat is approximately [tex]30.73\; \rm mi[/tex], whereas the distance between the southern lighthouse and the boat is approximately [tex]55.12\; \rm mi[/tex]. Hence the conclusion.

Hello friend,

The answer to your question is attached in the image uploaded by me. Please refer them.

✍️ By Benjemin ☺️

Answer:

I think the answer is C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

122%=122% 49/29=169% 26/15=173%, 1.98=198%

Answer:

11:53 ish.

Step-by-step explanation:

Answer:

6 p.m.

Step-by-step explanation:

Answer:

27/2 km/hr

Step-by-step explanation:

Answer:

slope is -14

X int. X is at 1/7

y int. y is at -2

Step-by-step explanation:

If you graph it you will see.

Answer:

60 in = 240 ft

Step-by-step explanation:

240/4 = 60

—

15 x 4 = 60

9 x 4 = 36

60 x 4 = 240

13 x 4 = 52

Answer:

f(x) = 7

Step-by-step explanation:

In an even function of x, all powers of x are even (2, 4, 6, etc.).  

In this case we have f(x) = 7, or 7x^0, which is an even function because the power (0) of x is even.

Answer: There are two solutions how to get the answer the factor solution and the factor by groupings solution.

Step-by-step explanation:

THE FACTOR SOLUTION

factor x out of 5x^3-3x^2 3x

X(5x^2 - 3x +3)

FACTOR BY GROUPINGS

Group of factors out the greatest common factor (GCF) then combined

X(5x^2 - 3x + 3)

I HOPE IT HELP YOU :)

Answer:

2.3

Step-by-step explanation:

Answer:

that's he

ard

Step-by-step explanation:

sole it your seldf fast ⏩ fast food in advance of my head I can you e d f 3

Answer:

The angles are 60°, and 30°

Step-by-step explanation:

Complementary angles add up to 90°

3 = 6 = 9

90/9 = 10

10 * 3 = 30

10 * 6 = 60

-Chetan K

Answer:

y-intercept: -23

y = 6x - 23

Step-by-step explanation:

Slope: 6

Point (3, -5)

y-intercept: -5 - (6)(3) = - 5 - 18 = - 23