All categories

3 years ago

The second of two numbers is 4 times the first. Their sum is 50. What are the numbers?

Mathematics

1 answer:

WARRIOR [948]3 years ago

7 0

Answer:

#1: 10

#2: 40

Step-by-step explanation:

If the sum is 50, you divide by 5, and you get 10. Then multiply that by 4 to get the 2nd number.

You might be interested in

Theresa bought 2 pineapples for $6 what’s the constant of proportionality

padilas [110]

$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{\underline{c}osts of pineapples is proportional to the \underline{a}mount of pineapples}}{c=ka}
\\\\\\
\textit{we also know that }
\begin{cases}
a=2\\
c=6
\end{cases}\implies 6=k2\implies \cfrac{6}{2}=k\implies 3=k$

7 0

3 years ago

Read 2 more answers

Find the slope-intercept form of the line whose slope is 66 and that passes through the point (negative 5 comma 10 )(−5,10).

Kaylis [27]

Answer:

y = 66x + 340

Step-by-step explanation:

The question asks to give the slope-intercept equation of a line with the slope given and it passes through a given line.

Generally, the equation of a line is given by:

y = mx + c, where m is the slope and c is the intercept. We have the slope given but we do not have the intercept. Hence, the first thing we do is to find the value of the intercept. We calculate that as follows:

since the line passes through a point, we substitute the values of the ordinate and the abscissa in the general equation of the line.

This means; 10 = 66(-5) + C

C = 10 + 330 = 340

Hence, the general equation of the line is;

y = 66x + 340

6 0

3 years ago

The length of a rectangle is 3 meters and the width is 14 meters. What is the perimeter of the rectangle? Do not include units i

tiny-mole [99]

Perimeter of 34 meters

4 0

2 years ago

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

$z=\frac{2}{3}$

$\frac{2}{3}=\frac{CD}{GH}}$

we have

$GH=6\ cm$

substitute

$\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm$

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

BC=AD

we have

$AD=8\ cm$

therefore

$BC=8\ cm$

step 4

Find the perimeter of trapezoid ABCD

$P=AB+BC+CD+AD$

substitute the values

$P=12+8+4+8=32\ cm$

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$x=32\ cm$

substitute

$\frac{2}{3}=\frac{32}{y}$

$y=32(3)/2=48\ cm$

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0

3 years ago

Need help gotta turn in at midnight

blondinia [14]

Answer:

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

6 0

2 years ago