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3 years ago

PLEASE HELP, I NEED THE ANSWERS ASAP, I WILL AWARD BRAINLIEST!

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

1. The larger number is 2x + 7. The smaller number is x.

Let x be the smaller number

(7 + 2x) + x = 43

Since they are all in addition, we can get rid of the parenthesis.

7 + 2x + x = 43

2x and x are similar variables, we can add them both together.

7 + 3x = 43

7 + (-7) + 3x = 43 + (-7)

3x = 36

3x/3 = 36/3

x = 12

Let's check

[7 + 2(12)] + 12

(7 + 24) + 12

31 + 12 = 43

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Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart

Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

Max has $5.50.
He has eight more quarters than he does nickels.
He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call $q$ quarters, $n$ nickels and $d$ dimes.

$q=n+8$ (8 more quarters than nickels)

$d=4n$ (he has four times as many dimes as he has nickels).

$0.25q+0.05n+0.10d=5.50$ (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

$0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5$

There are 5 nickels.

Now, we use this value to find the number of quarters

$q=5+8=13$

There are 13 quarters.

Also, $d=4(5)=20$

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

3 0

2 years ago

In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .

spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}$

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

$\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\$

6 0

2 years ago

alan went to the mall with $28 in his wallet. he bought a pretzel dog for $4 and he bought lunch. he forgot how much his lunch c

Ahat [919]

28-4=24-7=17$
this means alan spent $17 on lunch

7 0

3 years ago

Which expression should you simplify to find the 90% confidence interval,

Alex787 [66]

Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287$

$0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is $\hat p=0.45$

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value is: