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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

Answer:

Kevin is 7, Uncle Rob is 54

Step-by-step explanation:

Let's express the information given by the question statement.

1. Tonya (T) is twice Kevin's (K) age: T = 2K

2. In three years, Tonya (T) will be 17: T + 3 = 17

3. In another three years, Uncle Rob (R) will be 3x Tonya's (T) age: R = 3(T+3+3)

From 2, we can say that Tonya is now 14.

First equation becomes: 17 = 2K ... which means K = 7, Kevin is 7.

Third equation becomes: R = 3 (14 + 3 + 3) = 3 (20) = 60

In six years, Rob will be 60. So, now, he's 54 (60-6).

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Write the following expression using symbolic language.

Ad libitum [116K]

Answer:

<h3> 1) 7x - 5 </h3><h3> 2) 9y - 18 </h3><h3> 3) 0.5n + 4n </h3><h3> 4) 2(w³+23)</h3><h3> Step-by-step explanation:</h3>

The product of seven and a number x: 7·x = 7x

<u>Five less than the product of seven and a number x:</u>

nine times a number y: 9·y = 9y

<u>The difference of nine times a number y and eighteen:</u>

half a number n: 0.5n

four times the number: 4·n = 4n

<u>Half a number n increased by four times the number:</u>

a number w cubed: w³

the sum of a number w cubed and twenty-three: w³+23

<u>Twice the sum of a number w cubed and twenty-three:</u>

5 0

3 years ago

Pls help no links if u can pls explain the steps I’ll be grateful

valkas [14]

Answer:

WX = 9

Step-by-step explanation:

WY is the entire line - this tells you that the length of the entire line is 11.

XY is a section of the line, and WX is the section you need to find the length for. Since it is given that XY is of length 2, we can find the length of WX by subtracting the length of XY from WY.

11 (WY) - 2 (XY) = 9.

8 0

3 years ago

The diagram shows the entrance to a tunnel.

gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

5 0

3 years ago

Which expression uses the associative property to make it easier to evalute?

mixas84 [53]

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

$14(\dfrac{3}{2}\times \dfrac{1}{4})$

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

$A\times (B\times C)=(A\times B)\times C$

We have,

$A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}$

$14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}$

Hence, the correct option is (c).

6 0

3 years ago

I need help with this question. thanks.

Papessa [141]

Answer:

x<40

Step-by-step explanation:

x+10<50

x+10-10<50-10

x<40

8 0

2 years ago