Find the difference

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:

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: 69%

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

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

Answer:4

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

Answer:

14:6, 21:9, 28:12

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

Answer:

area is 78.54 and circumference is 31.42

Step-by-step explanation:

Answer:

Area- 78.5 square feet

Circumference- 31.40

Step-by-step explanation:

Formula for Area of Circle:

Area = [tex]pi[/tex] x radius²

or

Area= pi x d

Formula for Circumference of a circle:

2 x pi x r

Radius= half the Diameter

D= diameter

R= radius

Pi= 3.14

Answer:

true

Step-by-step explanation:

the answer is true hope this helps

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:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

Subtract 9 from both sides;

9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

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:

[tex]\boxed {\boxed {\sf Isosceles \ triangle}}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles.

A right triangle contains one right or 90 degree angle.

An isosceles triangle has 2 equal sides and base angles.

A scalene triangle has no equal sides or angles.

The triangle given has the sides of 5 cm, 5 cm, and 7 cm.

Therefore, 2 of the sides are equal and this must be an isosceles triangle.

Answer:

4

Step-by-step explanation:

Answer:

2:4

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

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:

the 1st one should be the 2rd one

Step-by-step explanation:

Answer:

$6750 per year

Step-by-step explanation:

15% / 100 = 0,15

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

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: [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:

Option 4

Step-by-step explanation:

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:

25%

Step-by-step explanation:

Given parameters:

Amount earned by Jessica per month = 800

Total savings target per year  = 2400

Unknown:

Percentage of savings = ?

Solution:

The total earning per year will be the amount earned per month multiplied by the total number months;

 Amount earned in a year = 12 x 800  = 9600

Let the percentage of savings per year  = y%

  Now;

              2400 = [tex]\frac{y}{100}[/tex] x 9600

                  y = 25%