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3 years ago

Question 5 (5 points)

1 answer:

4 0

A
because a dilation changes the size of the shape, but it’s still similar because it’s proportional to the original triangle.

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Find four consecutive numbers whose sum equals 218

Softa [21]

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

-6 -6 ← subtract 6 from both sides of the equation

4x = 212

÷4 ÷4 ← divide both sides of the equation by 4

X = 53

X ⇒ first number = 53

X + 1 ⇒ second number = 54

X + 2 ⇒ third number = 55

X + 3 ⇒ fourth number = 56

Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.

4 0

4 years ago

I need help understanding this and help with the problems...

Pavel [41]

1. 15+37=?

15=10+5 (given on the diagram)
37=30+7 (given on the diagram)
add digits to digits 5+7=12=10+2
add tens to tens 10+30+10=50
add tens and digits 50+2=52.

2. 22+49=?

22=20+2 (given on the diagram)
49=40+9 (given on the diagram)
add digits to digits 2+9=11=10+1
add tens to tens 20+40+10=70
add tens and digits 70+1=71.

3. 38+26=?

38=30+8 (given on the diagram)
26=20+6 (given on the diagram)
add digits to digits 8+6=14=10+4
add tens to tens 30+20+10=60
add tens and digits 60+4=64.

Answer: 1) 52; 2) 71; 3) 64.

7 0

3 years ago

Read 2 more answers

If 47400 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years f

Anni [7]

Answer:

Part A) Annual $\$66,480.95$

Part B) Semiannual $\$66,862.38$

Part C) Monthly $\$67,195.44$

Part D) Daily $\$67,261.54$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part A) Annual

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=1$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{1})^{1*5}$

$A=\$47,400(1.07)^{5}$

$A=\$66,480.95$

Part B) Semiannual

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=2$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{2})^{2*5}$

$A=\$47,400(1.035)^{10}$

$A=\$66,862.38$

Part C) Monthly

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=12$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{12})^{12*5}$

$A=\$47,400(1.0058)^{60}$

$A=\$67,195.44$

Part D) Daily

in this problem we have

$t=5\ years\\ P=\$47,400\\ r=0.07\\n=365$

substitute in the formula above

$A=\$47,400(1+\frac{0.07}{365})^{365*5}$

$A=\$47,400(1.0002)^{1,825}$

$A=\$67,261.54$

8 0

3 years ago

jaden increased the amount of vegetables she eats each day from 5 servings to 9 servings.by what percentage did jaden increase t

Stolb23 [73]

$9 - 5 = 4 \\ \dfrac{4}{5} = \dfrac{80}{100} = 80\%$

Answer : 80%

Hope this helps. - M

6 0

3 years ago

If two perpendicular then they intersect to form _____angles.

muminat

right angles or 90º angles

4 0

3 years ago