What are the integer solutions to the inequality below?

[tex]10 \leq 2x \leq x+7[/tex]

Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Step-by-step explanation:

Answer:

[tex]2x-y=-3[/tex]

Step-by-step explanation:

[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]

[tex]\underline{\sf{Solve\:for\:}y}:[/tex]

[tex]y+7=2(x+5)[/tex]

[tex]=y+7=2x+2\cdot5[/tex]

[tex]= y+7=2x+10[/tex]

[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]

[tex]=y+7-7=2x+10-7[/tex]

[tex]\underline{y=2x+3}[/tex]

Answer:

x = 4

y = 12°

Step-by-step explanation:

Since each angles are equal ,

So each angle is 60°.

=> 5y = 60°

=> y = 60/5°

=> y = 12°

Again all sides will be equal ,

=> 5x - 6 = 3x + 2

=> 5x - 3x = 6+2

=> 2x = 8

=> x = 4

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

[tex]8\times \dfrac 12 = 4[/tex]

Answer:

11

Step-by-step explanation:

so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply

$135.63 or Choice B

Step-by-step explanation:

If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62

Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.

The second box weigh 10 pounds less than the first box. Hence:

y = w - 10

-w + y = -10     (1)

The two boxes weigh 48 pounds. hence:

w + y = 48       (2)

Solving both equations gives:

w = 29, y = 19

The first box weighs 29 pounds while the second box weighs 19 pounds.

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Answer:

First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.

Step-by-step explanation:

Answer:

Slope = -3

Step-by-step explanation:

8-17/0+3=-9/3=-3 : Slope Formula

Answer:

No, because 2x3 - 1 =5, which proves it is incorrect

Step-by-step explanation:

Answer:

s(c)= 4.4c

Step-by-step explanation:

Answer:

676

Step-by-step explanation:

You need to find out abcde and then find out what bd is after that you must divide them both by 3

Hope that helped

Answer:

i think that the correct answer is 7/12

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

Answer:

-1/2

Step-by-step explanation:

take two points and apply

(8-7)/(0-2)=1/-2=-1/2

Answer:

23x2x2

Step-by-step explanation:

190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x

Simplifying, we get that x=10x=10.

its 10

Answer:

-1/6

Step-by-step explanation:

[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

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Answer:

first tell how far does Mr. Gilbert drive???

Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.

Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12

I hope this helps! :)

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]

[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]

[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]

Done

Answer:

6

Step-by-step explanation:

You can solve this using Pythagorean Theorem;

a² + b² = c²

c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.

a and b values can be the other 2 legs, doesn’t matter which one is which

we are given;

a = 8

c = 10

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64

b² = 36

√b² = √36

b = 6

Therefore the answer = 6

Hope this helps!

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

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Answer:

I took the quiz.

Step-by-step explanation: