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3 years ago

Solve the inequality 4x-7<5

Mathematics

1 answer:

aev [14]3 years ago

8 0

Answer:

4x-7 < 5

4x-7+7 < 5+7

4x/4 < 12/4

x < 3

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!!!! I need help with numbers 1 and 9 please !!!!!

Nataly_w [17]

(1)

given $\frac{j}{6}$ = $\frac{9}{10}$ ( cross- multiply )

10j = 54 ( divide both sides by 10 )

j = $\frac{54}{10}$ = $\frac{27}{5}$ ← in simplest form

(9)

let h be the hours worked daily , then

3h = 20 $\frac{2}{3}$ = $\frac{62}{3}$ ( divide both sides by 3 )

h = $\frac{62}{3}$ ÷ 3

= $\frac{62}{3}$ × $\frac{1}{3}$ = $\frac{62}{9}$ = 6 $\frac{8}{9}$

She worked 6 $\frac{8}{9}$ hours each day

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3 years ago

Simplify sec(t)cot(t) to a single trig function or constant with no fractions

lana66690 [7]

Answer:

make it make sense then could answer

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2 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

3 years ago

Read 2 more answers

Please help!! Just with 13 please. please try explain it and show work if possible, I really dont understand

Mashcka [7]

Answer:

0.0987

Step-by-step explanation:

8 0

3 years ago

Drag each equation to show if it could be a correct first step to solving the equation 3(x+8)=42.

jeyben [28]

Answer:

3*x + 3*8 = 42 simplified as 3x + 24 = 42

Step-by-step explanation:

The correct first step in solving the equation is to apply the distributive property. Order of operations states to perform operations in this order, PEMDAS, left to right. Some operations can be applied at the same time left to right through the equation such as multiplication and division as well as addition and subtraction. Since 3 is being multiplied into parenthesis, this needs to be applied first using the distributive property.

3(x+8)=42

3*x + 3*8 = 42

3x + 24 = 42

You can continue to solve using inverse operations.

3x = 18

x = 6

8 0

3 years ago

Solve the inequality 4x-7<5​

Solve the inequality 4x-7<5