All categories

1 year ago

Determine if the given ordered pairs are solution of x+ 4y = 7.

Mathematics

1 answer:

const2013 [10]1 year ago

6 0

Answer:

(3, 1 ) is a solution

Step-by-step explanation:

To determine if the given points are solutions, substitute the x and y values into the left side of the equation and if equal to the right side then they are solutions.

(3, 1 )

3 + 4(1) = 3 + 4 = 7 = right side , then a solution

(2, 1 )

2 + 4(1) = 2 + 4 = 6 ≠ 7 ← not a solution

You might be interested in

Can someone help me? It's urgent and thank you!

taurus [48]

Answer:

c=10mm

Step-by-step explanation:

Using pythagoras theorem,

hypotenuse²=base²+altitude²

=√19²+9²

=19+81

=100

Hypotenuse²=100

Hypotenuse=√100

=10

3 0

2 years ago

A building that is 90 feet tall cast a shadow 30 feet long what is the angle of elevation of the sun

DerKrebs [107]

Answer:

aUjJz slsmsmmwlakm

Step-by-step explanation:

nakaoianq s wkow9a9izjxi

3 0

2 years ago

The total weight of the golf balls from Julio’s golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph shows

MariettaO [177]

ANSWER:

EXPLAIN:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

7 0

2 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to

chubhunter [2.5K]

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

= 10 × 6

= 60 square units

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

Here, r = radius of the semicircle

For the semicircle with radius = $\frac{6}{2}$ = 3 units

Area = $\frac{1}{2}\pi (3)^{2}$

= 4.5π

= 14.14 units²

Total area of the composite figure = 60 + 14.14

= 74.14 square units ≈ 74.1 square units

3 0

2 years ago

What sample size is needed to give a margin of error within plus-or-minus 5% in estimating a population proportion with 90% conf

VARVARA [1.3K]

Answer: 271.

Step-by-step explanation:

When the prior population proportion of success is not available, then the formula to find the sample size is given by :-

$n=00.25(\dfrac{z_{\alpha/2}}{E})^2$

Given : Significance level : $\alpha: 1-0.90=0.1$

By using the standard normal distribution table ,

Critical value : $z_{\alpha/2}=1.645$

Margin of error : $E=0.05$

Then , the required minimum sample size will be :-

$n=0.25(\dfrac{(1.645)}{0.05})^2=270.6025\approx271$

Hence, the required minimum sample size is 271.

4 0

2 years ago