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SOVA2 [1]
3 years ago
13

Two-third a number plus 4 is 7

Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

2/3x+4=7

x=4.5

Step-by-step explanation:

2/3x+4=7

-4 -4

2/3x=3 (multiply by 3/2)

multiply both side by the reciprocal

x=4.5

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A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your ans
Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  1\frac{47}{60}

→ Substitute values into formula

135 ×  1\frac{47}{60}  = 240.75

8 0
3 years ago
For the following right triangles:
CaHeK987 [17]

Let us first define Hypotenuse Leg (HL) congruence theorem:

<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>

Given ACB and DFE are right triangles.

To prove ΔACB ≅ ΔDFE:

In ΔACB and ΔDFE,

AC ≅ DF (one side)

∠ACB ≅ ∠DFE (right angles)

AB ≅ DE (hypotenuse)

∴ ΔACB ≅ ΔDFE by HL theorem.

6 0
3 years ago
Olaf needs a total of 3 cups of sugar to make 4 cakes. Write and solve an equation to find the number of cups of sugar he needs
irinina [24]

Answer:

3/4 cup

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Xerxes is selling cups of lemonade. He is selling regular and pink lemonade in 3 sizes: small, medium, and large. The table disp
raketka [301]

Part 1

Add up the values in the table: 90+36+54+45+63+72 = 360

This means 360 total drinks were sold. Of that total, 54 were medium regular.

The percentage of medium regular is 54/360 = 0.15 = 15%

Apply this percentage to the 640 customers he plans to sell to

15% of 640 = 0.15*640 = 96

<h3>Answer: 96</h3>

============================================

Part 2

It sounds like your teacher wants you to find the probability of picking pink lemonade. The table says that 36 small, 45 medium, and 72 large pink lemonades were sold. That means 36+45+72 = 153 pink lemonades were sold out of the 360 total

153/360 = 0.425

Then go through each answer choice to note that 17/40 = 0.425 as well

Therefore, 153/360 = 17/40

Answer: 17/40

3 0
2 years ago
a pyramid with a square base that is 9 cm on a side has a height of 10 cm the volume of the pyramid is
Zanzabum

\bf \textit{volume of a pyramid}\\\\&#10;V=\cfrac{1}{3}Bh~~&#10;\begin{cases}&#10;B=area~of\\&#10;\qquad its~base\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;B=\stackrel{9\times 9}{81}\\&#10;h=10&#10;\end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270

4 0
3 years ago
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