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4 years ago

What are two numbers that multiply to make 12 and add to make 7

Mathematics

2 answers:

Contact [7]3 years ago

8 0

$3 * 4 = 12.

3 + 4 = 7.$ . However, the answer is 3 and 4.

mixas84 [53]4 years ago

7 0

3 and 4.

3*4=12

3+4=7

:D

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A jar of quarters and dimes has total value of $20.70. The jar has 10 more quarters than dimes. To find the numbers of quarters

lakkis [162]

There are 62 quarters and 52 dimes in the jar.

Step-by-step explanation:

Given,

Worth of jar coins = $20.70 = 20.70*100 = 2070 cents

1 Quarter = 25 cents

1 Dime = 10 cents

Let,

Number of quarters = x

Number of dimes = y

According to given statement;

25x+10y=2070 Eqn 1

x=y+10 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\$

Dividing both sides by 35

$\frac{35y}{35}=\frac{1820}{35}\\y=52$

Putting y=52 in Eqn 2

$x=52+10\\x=62$

There are 62 quarters and 52 dimes in the jar.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

4 years ago

What is the inverse of y=2x+7

Katyanochek1 [597]

Y=(0,7)
Root: (-7/2,0)

3 0

3 years ago

Your friend Mel says he has an easier way to solve this problem. Here are the ﬁrst steps in his method.

damaskus [11]

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

4 0

3 years ago

Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

$\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}
$

7 0

3 years ago

there are 267 students and 21 adults goin on a school trip. an equal number of people will ride on each bus. if there are 9 buse

Hunter-Best [27]

267+21 = 288
288/9 = 32

the answer is 32 people will ride on each bus

4 0

3 years ago

Read 2 more answers