Write each phrase as an algebraic expression
1. Jenny is 5 times as old

2. Brandon spent 10 dollars more

Answer:

6cm , 12cm

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

135,910

Step-by-step explanation:

Add all  assets together and you will get this answer.

Answer:

y = 3/4 + b

Step-by-step explanation:

To get slope intercept form you need to have the y = then you need to find the slope which is y2 - y1 and x2 - x1, find the answer whether it be a fraction or a whole number. And since you don't know the y-intercept you mark the last integer as b, since you don't the answer. So it comes out to y = 3/4 + b

y = (3/4)x + 5

Using the two coordinates, you can find slope and y-intercept

y-intercept is 5, from the point (0,5)

slope is 3/4, from rise/run, and that 0 to 4 is 4, while 5 to 8 is 3.

Combine slope and y-intercept for slope intercept form

y = (3/4)x + 5

Answer:

Step-by-step explanation:

1 in = 2.54 cm

Part (a)

Answer: 8.268 in

Part (b)

Answer: 11.693 in

Part (c)

In SI units standard-sized paper is 21.0 cm by  29.7 cm, which is equivalent to 8.268 in by 11.693 in.

Answer: 8.268 in by 11.693 in.

Part (d)

The U.S sized standard paper is 8.0 in by  11.0 in. Therefore the SI (internationally) sized paper is longer.

Part (e)

If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.

Answer:

any number between 0-4 so lets say 3

Step-by-step explanation:

An integer is a whole number that can be positive, negative, or zero however they can not be fractions or decimals

Answer:

check book

Step-by-step explanation:

ok apply formula only

Answer:

Option 3: One

Step-by-step explanation:

Slope is y2-y1 over x2-x1

4-(-3)= 7

5-(-2)= 7

7/7 = 1

Answer:

Because it bears an equal sign

Expressions don't have a definite solution to the problem.

Answer:

B.f(x)=4x

Step-by-step explanation:

Multiply x value by 4

Answer:

Step-by-step explanation:

4 and 1/4

Step-by-step explanation:

okay uh you turn the half into 2 fourths and add to get 3 5/4 then simplify and get 4 1/4

Answer:

3:8

Step-by-step explanation:

The ratio of Mina's age to Naomi's age is 3 : 4

Multiplying the above ratio by 2 = 6:8

The ratio of Lev's age to Mina's age is 1 : 2

Multiplying the above ratio by 3

= 3:6

Therefore, ratio of Lev's age to Naomi's age in simplest form.

= 3:8

Answer:

3:8

Step-by-step explanation:

Let L, M, and N stand for the three ages.

The given ratios tell us that

M = 2L

and

N = 4/3M.

Therefore,

N = 4/3 x 2L = 8/3L.

This means that Lev's and Naomi's ages are in the ratio 3:8.

Answer:

B=1.75

Step-by-step explanation:

Answer:

okay so first you have the original height (2,000 feet) than subtract by 450. add 1750 giving you 3300

I mist that one its not the first one

Step-by-step explanation:

Answer:

The correct answer is the last image...I just got it right on the quiz.

Step-by-step explanation:

Answer:

[tex]\frac{3b}{a} = 210[/tex]

Step-by-step explanation:

Explanation:-

Given that  a× 70 = b

Dividing 'a' into both sides, we get

           ⇒ [tex]\frac{b}{a} = 70[/tex]

we have to find the value [tex]\frac{3b}{a}[/tex]

       [tex]\frac{3b}{a} = 3 X \frac{b}{a}[/tex]

          = 3× 70

         = 210

Answer:

£125000

Step-by-step explanation:

Original cost of house = £100 000

Percent increase = 25%

Increase in price = 25% of 100,000

Increase in price = 0.25 * 100,000

Increase in price = 25000

New cost = original cost + Increment

New cost = 100,000 + 25,000

New cost = 125,000

Hence it now cost  £125000

Answer:

-30

Step-by-step explanation:

[tex]\frac{N}{-3} -2 =8[/tex] ( Add 2 on both sides)

[tex]\frac{N}{-3} = 10[/tex] ( Multiply by -3 on both sides)

[tex]N = -30[/tex]

Verify:

[tex]\frac{-30}{-3} =10[/tex] (Correct)

Answer:

[tex] \frac{n}{ - 3} - 2 = 8 \\ \frac{n}{ - 3} = 8 + 2 \\ = 10 \\ n = 10 \times - 3 \\ n = - 30[/tex]

Step-by-step explanation:

51^6(51-1)

51^6(50)

odd number × even number = even number

50 Is divisible by 25

Answer:

First: 3 units Second: 7 units Third: 9 units

Step-by-step explanation:

19=x+(x+4)+3x

19=5x+4

15=5x

x=3

first side is 3 units

3+4=7

second side is 7 units

3*3=9

third side is 9 units

Answer:

it has 5 hopefully this helps you with work

Answer:

Step-by-step explanation:

Given lines:

These have same slopes of 2/3 and therefore are parallel, so no intersection. There is no solution if lines don't intersect.

The graph is attached as well to show lines are parallel.

Answer:

True

Step-by-step explanation:

Cuz if u substitute (3,-3/2) it would work

Y = 1/2x - 3

-3/2 = 1/2(3)-3

-3/2 = 1.5 - 3

-3/2 = -1.5

& -3/2 is -1.5 as a decimal lol

Answer:

a. 33 sqft

Step-by-step explanation:

The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles

Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)

The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24

The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9

Total area is sum of these two or 24 + 9 = 33

Answer:

i. x² + 7x - 16800 = 0 ii. x = 126.16 km/h or -133.16 km/h iii. 5.01 h

Step-by-step explanation:

i. If he drove at an average speed of x km/h on his journey from City P to City Q formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.

For the first journey from City P to City Q, with Mr Lee moving at an average speed of x km/h, he reaches there in time, t and covers the distance, d = 600 km

So, xt = 600 (1)

On his return journey from City Q to CIty P, his average speed increases by 7 km/h, so it is (x + 7)km/h and his time is 15 minutes less than his first journey. 15 min = 15/60 h = 0.25 h, we have that his time for the journey is (t - 0.25) h. Since the distance covered is the same d = 600 km,

We have (x + 7)(t - 0.25) = 600  (2)

Expanding the brackets, we have

xt - 0.25x + 7t - 0.25(7) = 600

xt - 0.25x + 7t - 1.75 = 600

From (1) t = 600/x and xt = 600

Substituting these into the equation, we have

600 - 0.25x + 7(600/x) - 1.75 = 600

simplifying

-0.25x + 4200/x - 1.75 = 600 - 600

-0.25x + 4200/x - 1.75 = 0

multiplying through by x, we have

-0.25x² + 4200 - 1.75x = 0

dividing through by -0.25, we have

-0.25x²/-0.25 + 4200/-0.25 - 1.75x/-0.25 = 0

x² - 16800 + 7x = 0

re-arranging, we have

x² + 7x - 16800 = 0

ii. Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to  2 decimal places.

Using the quadratic formula, we solve x² + 7x - 16800 = 0 for x

So, [tex]x = \frac{-7 +/-\sqrt{7^{2} - 4 X 1 X -16800} }{2 X 1}\\x = \frac{-7 +/-\sqrt{49 + 67200} }{2} \\x = \frac{-7 +/-\sqrt{67249} }{2} \\x = \frac{-7 +/- 259.32}{2} \\x = \frac{-7 + 259.32}{2} or x = \frac{-7 - 259.32}{2} \\x = 252.32/2 or x= -266.32/2\\x = 126.16 km/hor x = -133.16 km/h[/tex]

So, x = 126.16 km/h or -133.16 km/h

iii. Find the time taken for the return journey

The time taken for the return journey is t' = t + 0.25. Now. t = 600/x

Since x cannot be negative, we use x = 126.16 km/h.

So, t = 600/x = 600/126.16 = 4.76 h

t' = t + 0.25

t' = 4.76 + 0.25

t' = 5.01 h

Answer:

1) m=7

2) y=8

3)m=9

4) a=121

5) t=30

6)h=7

Noah's number is 15

S=15

Answer:

a). cosA = 4/5

b).

[tex]3 - cot {}^{2} a \: + cosec {}^{2} a \: = 0[/tex]

Answer:

hope it will help you☺

Step-by-step explanation:

hope

Answer:

(a) [tex]j = 4k[/tex]

(b) [tex]4k - 18 = 18 + k[/tex]

(c) Jim initially had 48; Kirk initially had 12

Step-by-step explanation:

Given

[tex]j = Jim[/tex]

[tex]k=Krik[/tex]

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

[tex]j = 4 * k[/tex]

[tex]j = 4k[/tex]

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

[tex]j - 18 = 18 +k[/tex]

Solving (c): Number of chirps they started with.

In (b), we have:

[tex]j - 18 = 18 +k[/tex]

Substitute 4k for j

[tex]4k - 18 = 18 + k[/tex]

Collect Like Terms

[tex]4k - k = 18 + 18[/tex]

[tex]3k = 36[/tex]

Divide both sides by 3

[tex]k =12[/tex]

Substitute 12 for k in [tex]j = 4k[/tex]

[tex]j = 4 * 12[/tex]

[tex]j = 48[/tex]