Use compatible numbers to solve the problem 326÷44

kevin's garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per

DedPeter [7]

Answer:

Kevin’s garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per square metre. How much turf will he need to buy and how much will this cost? 4)Inga needs to buy enough skirting board to replace the old skirting board in her bedroom. The bedroom is 5m 20cm long and 4m 80cm wide.

Step-by-step explanation:

6 0

3 years ago

Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. How many total kilograms of candy did he buy?

nignag [31]

Answer:

1.26 kg.

Step-by-step explanation:

We have been given that Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. We are asked to find the amount of candy bought by Mr. Snow in kilograms.

First of all, we will find the amount of candy in grams by multiplying 90 grams by 14 as:

$\text{Amount of candy bought in grams}=14\times 90$

$\text{Amount of candy bought in grams}=1260$

We know that 1 kilogram is equal to 1000 grams. To convert 1260 grams into kg, we will divide 1260 by 1000 as:

$\text{Amount of candy bought in kilograms}=\frac{1260}{1000}$

$\text{Amount of candy bought in kilograms}=1.26$

Therefore, Mr. Snow bought 1.26 kilograms of candy.

7 0

3 years ago

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .

8 0

2 years ago

Mr. Jackman gives $32.00 to his four children to share equally. How much will each of his children get?

maksim [4K]

Answer:

$8.00 per child

Step-by-step explanation:

Mr. Jackman= $32

Children= 4

per child= $32/4

$8.00

7 0

2 years ago

Corey is 176 miles from Tom. Traveling towards each other. If Tom travels 4 mph faster than Corey and they meet after 8 hours, h

Bingel [31]

Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.

Step-by-step explanation:

Let x represent Corey's speed.

If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph

Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.

Distance = speed × time

Distance travelled by Corey in 8 hours would be

8 × x = 8x miles

Distance travelled by Tom in 8 hours would be

8(x + 4) = (8x + 32) miles

Since the total distance travelled by Tom and Corey is 176 miles, then

8x + 8x + 32 = 176

16x = 176 - 32 = 144

x = 144/16 = 9 miles per hour

Tom's speed would be

9 + 4 = 13 miles per hour

6 0

3 years ago