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Answer:

[tex]34 + 51 = 85[/tex]

Step-by-step explanation:

Given

[tex]34 + 51[/tex]

Required

Use GCF and distributive property to determine the sum

34 can be expressed as:

[tex]34 = 2 * 17[/tex]

51 can be expressed as:

[tex]51 = 3 * 17[/tex]

So, the GCF of both numbers is 17

[tex]34 + 51[/tex] can then be expressed as:

[tex]2 * 17 + 3 * 17[/tex]

Apply Distributive Property, we have:

[tex]17(2 + 3)[/tex]

Solving further:

[tex]17 * 5[/tex]

[tex]85[/tex]

Hence:

[tex]34 + 51 = 85[/tex]

Answer:

Step-by-step explanation: no

Answer:

d or c

Step-by-step explanation:

Answer:

2:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Answer:

4

Step-by-step explanation:

Answer: 69%

Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100

Answer:

V = 536.8m³

Step-by-step explanation:

A = cross-sectional area

V = prism volume

V = A × length

h = perpendicular height of triangle

h² = 13² - 7²

h² = 169 - 49

h² = 120

h = 10.954...

A = ¹/₂.b.h

A = ¹/₂(14)(10.954...)

A = 76.681...

V = 76.681... × 7

V = 536.768... ⇒ 536.8m³

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

-32+4=-28

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

Answer:4

Step-by-step explanation: please just trust me!

Answer:

16

Step-by-step explanation:

Given expression:

       log(5x + 20) = 2

From the given expression, we are to find x;

   Using the rule of logarithm, we can solve this problem;

             logₐb = C

                    b  = Cᵃ

So;

            log(5x + 20) = 2

  this is to base 10;

                    5x + 20 = 10²

                    5x  = 100 - 20

                    5x  = 80

                      x  = 16

Answer:

16 was right

Step-by-step explanation:

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

Answer:

$6750 per year

Step-by-step explanation:

15% / 100 = 0,15

0,15 x $45,000 = $6750 he will get per year

Answer:

We have been given that the upstream speed is  and the down stream speed is .

Let the fisherman traveled a distance of x miles.

The total time of the trip is 6 hours.

Relations between speed (s), time (t) and distance (d) is  

Hence,  

Time upstream +  time downstream = 6

lcm = 10

=>  

Cross multiplying,  

x = 20 miles .. Answer.

Step-by-step explanation:

The correct answer would be; 20 miles.

[tex]MissJiao[/tex]

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

If |a| is between 0 and 1, it's a vertical shrink.  If |a| is greater than 1, it's a vertical stretch.  If a is negative, there's a reflection over the x-axis.

h is the horizontal translation.  If h is positive, there's a translation to the right.  If h is negative, there's a translation to the left.  (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)

k is the vertical translation.  If k is positive, there's a translation up.  If k is negative, there's a translation down.

f(x) = (x + 1)³ − 7

f(x) = 1 (x − -1)³ + -7

a = 1, h = -1, k = -7

This is y = x³ translated 1 unit to the left and 7 units down.

g(x) = -½ (x − 2)³

g(x) = -½ (x − 2)³ + 0

a = -½, h = 2, k = 0

This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.

y = -(x − 4)³ − 2

y = -1 (x − 4)³ + -2

a = -1, h = 4, k = -2

This is y³ reflected over the x-axis, translated 4 units right and 2 units down.

Answer:

x=12

Step-by-step explanation:

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

Answer:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

height h = 1.75 m

volume V = 3.5 m3

Answer:

The answer is $180

Step-by-step explanation:

10% = 0.10

.10 x 1800 = 180

Answer:

cost price ( cp) =$ 1800

loss = 10%

selling price ( sp) = ?

we know,

sp= cp - loss percent of cp

= 1800- 10/100 × 1800

= 1800 - 0.1× 1800

= 1800-180

=$1620

: . $1620 is the selling price of an article.

Answer:

(-4/5)x= -26-2

(-4/5)x= -28

x= -28/1÷ -4/5

x= -28/1 ×5/-4

x= -7/5 or -1.7

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Answer:

the correct answer would be 13.75

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

Answer:

I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

The concentration in both solutions is the same.

Step-by-step explanation:

Equilibrium> EQUAL

Answer:

(x-1)(x+2)(4x + 3) = 0 ]

Step-by-step explanation: