A car dealership sells SUVs and passenger cars. For a recent year, 70 more SUVs were sold than passenger cars. If a total of 340 vehicles were sold, determine the number of each type of vehicle sold.

Answers

Answer 1

Answer:

135 cars; 205 SUVs

Step-by-step explanation:

Let c = number of cars sold.

Let s = number of SUVs sold.

s = c + 70

c + s = 340

Substitute s in the second equation with c + 70 and solve for c.

c + s = 340

c + c + 70 = 340

2c = 270

c = 135

s = c + 70

s = 135 + 70

s = 205

Answer: 135 cars; 205 SUVs


Related Questions

Ayuda por favor!!

doy gracias y corona!!

Answers

1,500, buena suerte :)

Answer:

Ganara $15000 si trabaja 50 horas.

The scale of a map is 1 1/4 inches = 80 miles. On that map, two cities are 4 inches apart. What is the actual distance between the cities?

Answers

Answer: 256 miles

Step-by-step explanation:

if 1 1/4 inches = 80 miles, then 1/4 inch = 16 miles (there are five 1/4 in 1 1/4 inches, so 80/5 = 16)

there are sixteen 1/4 inches in 4 inches, and we know that each 1/4 inch is equal to 16 miles, so 16*16 = 256

A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.

Answers

B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.

Help with this please

Answers

Answer: 4 centimeters is the mode

Step-by-step explanation: Mode is the number that comes out the most, and 4 comes out 6 times, which is the most.

please help with this question

Answers

Step-by-step explanation:

so, that means we want to find the time t (days) after which N = No/2

because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).

so, we have

No/2 = No × e^(-0.1481×t)

No = 2× No × e^(-0.1481×t)

1 = 2×e^(‐0.1481×t)

1/2 = 0.5 = e^(-0.1481×t)

ln(0.5) = -0.1481×t

t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days

Find the lateral area and the surface area of the composite solid. Round your answers to the nearest hundredth.
The lateral area is about ____
square inches
The surface area is about ___
square inches

Answers

The surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.

What is the area?

The space occupied by any figure in the two-dimensional space is called an area. The area can be rectangular circular triangular types.

Here we have the figure made up by the two pyramids and one rectangular box. So we will find the surface area of the pyramid then the rectangular box and again the pyramid and will add all of them.

The Lateral surface area will be calculated as:-

A=2W√(w÷2)²+(h)²+w²

A=2x5√(5÷2)²+(3)²+5x5

A=152.5 +25

A=177.5 square inch

Area of lower pyramid= (1÷2)xbxh+w²

A=(1÷2)x5x7.5 + 25 =75+25= 100

Area of the rectangular box= 4(w²)=4(5x5)=100

So total lateral surface area will be =100+100+177.5=377.5 square inch

(2)The surface area will be calculated as:-

A=2W√(w÷2)²+(h)²

A=2x5√(5÷2)²+(3)²

A=152.5 square inches

Area of lower pyramid= (1÷2)xbxh

A=(1÷2)x5x7.5  =75 square inches

Area of the rectangular box= 4(w²)=4(5x5)=100

So total surface area will be =100+75+152.5=327.5 square inch

Hence the surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.

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Determine if this statement is true.
3 = 38^8 - 96 + 10 - 109 x 12 - 18

Answers

Answer:

an answer is 4000

-12=14021

Step-by-step explanation:

branlist

Answer:

4000

-12=14021

CAN ANYONE PLEASE HELP ME IM IN A RUSH

Answers

Answer:

I forgot to change pi into 3.14

How to find the root of x^2 -6x+8=0

Answers

Answer:

2,4

Step-by-step explanation:

This question is quite simple. First you need to find the factors of 8. Then you need to see which factors of positive 8 can add up to make -6. The factors are -4 and -2. Then expand. Now you have the equation x^2-4x-2x+8. Now group it.

(x^2-4x) +(-2x+8)

Then take out the X from the first group and the -2 from the second. We want the values in the brackets to be the same.

Now you have

x(x-4)-2(x-4)

Take the x and the -2x and make it a group. Now you have (x-4)(x-2)

Set x-4 equal to zero. x-4=0 Now solve it like a regular equation. Add four to both sides. Now you have x=4

Do the same thing with (x-2) and you get x=2

4 and 2 are your solutions

Answer:

x = 4 and x = 2

Step-by-step explanation:

The easiest way to find the roots is by converting the function into its factored form. This can be determined by asking the question:

What two numbers have a product 8 and a sum of -6?

These two values are -4 and -2.

-4 x -2 = 8

-4 + (-2) = -6

These two numbers are used in the factored form of the equation. You can prove the accuracy of the factored form by re-expanding it (multiply all the terms in the first parentheses by the terms in the second parentheses). The factored form looks like this:

(x - 4)(x - 2)

The roots are the values that make the expression equal 0. This can be done by setting each parentheses equal to 0 and solving for "x".

x - 4 = 0                              x - 2 = 0

x = 4                                    x = 2

Therefore, the roots of the function x² - 6x + 8 are x = 4 and x = 2.

GUYS PLS HELP ILL GIVE BRAINLEST IF YOUR RIGHT
A tissue box is shaped like a right rectangular prism: it has a base area of 16 square inches and a height of 5 wholes and 1/3 inches: What is the volume of the tissue box .
21 1/3 in
26 2/3 in
42 2/3 in
85 1/3 in

Answers

Answer:

85 1/3

Step-by-step explanation:

All I did is multiply and got that.

I'm going to submit my finals, so hopefully it's not wrong. I don't think it's wrong though.

26 students are in a classroom. How many different ways can a group of 5 students be chosen?​

Answers

The number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

The formula of combination is,

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Here, n is the total number of items and r is the number of ways by which an item is chosen from the set.

26 students are in a classroom. The number of different ways can a group of 5 students be chosen are,

[tex]^26C_5=\dfrac{26!}{5!(26-5)!}\\^26C_5=\dfrac{26\times25\times24\times23\times22\times21!}{5!21!}\\^26C_5=\dfrac{26\times25\times24\times23\times22}{5\times4\times3\times2\times1}\\^26C_5=65780[/tex]

Thus, the number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.

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The diameter of a dime is 17.91 mm. The diameter of a strand of human hair is

Answers

Answer:

The average strand of hair is 25.4μm

Step-by-step explanation:

Diameter of dime is 2.985×10² times of diameter of human hair.

The correct option is B.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Diameter of dime = 17.91mm

Diameter of human hair = 6.0×10⁻²mm

Ratio of diameter of dime to diameter of human hair = 17.91/6.0×10⁻²

                                                                                        = 2.985×10²

Hence, 2.985×10² times of diameter of human hair is diameter of dime.

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Triangle EFG, with vertices E(-9,2), F(-5,3), and G(-7,5), is drawn inside a rectangle, as shown below.

Answers

Check the picture below.

so hmmm let's get the whole area of the rectangle, and then get the areas of those 3 triangles and subtract their area from that of the rectangle's, what's leftover is what we didn't subtract, namely, the white triangle.

[tex]\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(3)(4)}~~ - ~~\stackrel{green~triangle}{\cfrac{1}{2}(2)(3)}~~ - ~~\stackrel{pink~triangle}{\cfrac{1}{2}(2)(2)}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(4)(1)}} \\\\\\ 12~~ - ~~3~~ - ~~2~~ - ~~2\implies 5[/tex]

The rate startfraction 450 pounds over 25 buckets endfraction describes the relationship between the number of buckets and the weight of the lobsters in the buckets. what is the weight of one bucket of lobsters?
15 pounds per bucket
18 pounds per bucket
20 pounds per bucket
25 pounds per bucket

Answers

Answer:

The answer is 18 pounds per bucket.

Understanding the Problem

In this question, we are given the expression that relates the pounds of lobster to the number of buckets:

[tex]\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}[/tex]

This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.

With this proportion, we are expected to assume that the rate will be equivalent across all of the buckets. Therefore, for each bucket, there will be an equal measurement of pounds of lobster.

How to Solve the Problem

To solve this problem, we need to know exactly how this rate will work.

A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.

For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).

We can apply the same principle here.

Solve

Part I - Set up the Rate

To solve, set up the rate:

[tex]\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}[/tex]

Part II - Find the GCF

Then, find the Greatest Common Factor (GCF) of the two digits:

25 — 1, 5, 25450 — 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Check for common factors between the two trees:

1, 5, 25

Since 25 is the greatest of the three factors, it is the GCF.

Part III - Apply the GCF

Divide both the numerator and the denominator by 25:

[tex]\displaystyle \frac{450}{25} = 18[/tex]

[tex]\displaystyle \frac{25}{25} = 1[/tex]

Part IV - Simplify

Set up the new fraction:

[tex]\displaystyle \frac{18}{1}[/tex]

Anything divided by 1 does not change:

[tex]\displaystyle \frac{18}{1} = 18[/tex]

Final Applications

Since we got 18 an answer, this means that there are 18 pounds of lobster per bucket.

HURRRYYYY I HAVE 5 MINUTES!!!
What are the slope and the y-intercept of the linear function that is represented by the table?

x
y
–1
Negative three-halves
Negative one-half
0
0
Three-halves
One-half
3
The slope is –3, and the y-intercept is Negative one-half.
The slope is –3, and the y-intercept is Three-halves.

Answers

Answer:

The slope of the line is 3 and the y-intercept is (3/2) three-halves.

Step-by-step explanation:

The data provided is:

X     Y

-1.0     -1.5

-0.5     0.0

0.0     1.5

0.5     3.0

The slope of the linear function is denoted by, b and the intercept is denoted by, a.

The formula to compute the slope and intercept are:

Compute the values required in Excel.

Compute the slope and intercept as follows:

Thus, the slope of the line is 3 and the y-intercept is (3/2) three-halves.

Select all of the combinations of side lengths below that cannot be used to draw a triangle.

Answers

Answer:

A , C and D cannot be used to drwa a traingle

Step-by-step explanation:

PLEASE help i have like 10 mins to turn this in

Answers

Answer:

600 inches

The volume of the box is 600 because if we take the formula and substitute the numbers given, you are left with 600 inches.

Step-by-step explanation:

V = lwh

l = 10

W = 5

H = 12

10 × 5 × 12 = 600

PLEASE HELP ME!!!!!!!!!

Answers

Answer:

[tex]\{-2,2\}[/tex]

Step-by-step explanation:

[tex]~~~~~~2|p| = 4\\\\\implies |p| = \dfrac 42\\\\\implies |p| = 2\\\\\implies p =\pm2[/tex]

Two consecutive odd numbers total -20 find the smaller

Answers

Answer:

-9

Step-by-step explanation:

use an equation to solve this

consecutive means in succession, one after the other

since they're odd, both numbers have to be odd

let x be the first number

x+x+2=-20

+2 because if you only +1, one of the numbers would be even

2x+2=-20

-2. -2

2x=-22

x=-11

the smaller would be -9 since we are adding x and x+2 together

Help is much appreciated :)

Answers

Answer:

Your answer is A

y≤ 1/2x + 3

y≥ 1/2x - 4

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test

Answer:

Which systems of inequalities does the graph show?

A

O y ≤ 1/2x + 3

   y ≥ 1/2x - 4

Step-by-step explanation:

You're welcome.

50 points if u answer this easy problem.

Answers

Answer:

Slope=2

Step-by-step explanation:

Slope=rise/run

We can start at 2, 3 (you can start anywhere on the line)

Then go to 3, 5 (you can end anywhere on the line)

Rise=2

Run=1

2/1=2

Slope is 2. The uses up there were examples. It doesn't have to be the exact points.

(0,-1)(1,1)

Slope

m=y1-y1/x2-x1m=1+1/1-0m=2/1m=2

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 7(1.06)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)

Answers

Un dominio razonable para la función  f(d)  en el periodo de tiempo estudiado es:

Dominio de  f(d)  =  d  ∈  [0, 7]

Mientras que el intercepto con el eje f(d) ocurre en el valor 11 mm y representa el valor del radio del alga cuando se inició el experimento en el tiempo cero.

Explicación paso a paso:

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function?

De acuerdo con la gráfica anexa y el significado de las variables involucradas,  el dominio razonable para la función  f(d)  en el periodo de tiempo estudiado es:

30 Points: How does it relate to one of these?

Triangle Proportionality Theorem
The Converse of the Triangle Proportionality Theorem
Pythagorean Theorem, using Similar Triangles
The Converse of the Pythagorean Theorem

Answers

Answer:  the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

this is how the Pythagorean theorem works a^2 + b^2 = c^2 I hope this helps have a great day bye!!! :D

Step-by-step explanation:

QR is the radius of R and PQ is the tangent to R. Find the value of x.

Answers

Answer:

x = 39

Step-by-step explanation:

We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:

80^2 + x^2 = 89^2

6400 +x^2 = 7921

x^2 = 1521

x = [tex]\sqrt{1521}[/tex]

x = 39

The circumference of a circle is a 12.1mm. Find the length of the radius. Give your answer rounded to 1 DP.​

Answers

Answer:

1.9

Step-by-step explanation:

r=C/2π

r-12.1/2π=1.9257...

Answer:

1.9 mm

Step-by-step explanation:

Circumference of circle = 2πr

             2πr = 12.1 mm

     [tex]\sf 2* \dfrac{22}{7}*r= 12.1\\\\[/tex]

                  [tex]\sf r = \dfrac{12.1*7}{2*22}\\\\[/tex]

                     = 1.925

                 [tex]\sf \boxed{radius =1.9 \ mm }[/tex]

                 

       

1.The scientist has 42 turtle eggs. She wants to place them in equal rows in an incubator. What is one way that she could place the eggs?

Answers

Answer:

See below

Step-by-step explanation:

There are two feasible ways to place the turtle eggs.

7 Turtle eggs in 6 rows6 Turtle eggs in 7 rows

2y+3=11
two y add three = 11

Answers

Answer:

 y=4.5

Step-by-step explanation:

2y+3=11

2y=11-3

2y=9

y= 4.5

What does it mean for data to have variability as it refers to statistical questions? Give an example

Answers

Answer:

The term, "variability" describes how far apart data points lie from each other, and from the center of a distribution.

Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data.

Variability is also referred to as spread, scatter or dispersion.

Example:

The heights of students at Brainly varied from 4 feet and 6 inches tall to 6 feet and 3 inches tall. It varies 1 foot and 9 inches.

does someone mind helping me with this problem please? Thank you!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the circumference ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

where,

d = diameter = 2 × r = 2 × 2 = 4 cm

now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 12.56 \: \: m[/tex]

Given:Radius= 2 meters To find:

The circumference of the given circle.

Solution:

[tex]c = 2 {\pi}r[/tex]

[tex]c = 2 \times 3.14 \times r[/tex]

[tex]c = 2 \times 3.14\times 2[/tex]

[tex]c = 12.56 \: m[/tex]

Hence, the circumference of the given circle is 12.56 meters.

If using the method of completing the square to solve the quadratic equation x^2+5x+4=0x
2
+5x+4=0, which number would have to be added to "complete the square"?

Answers

Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

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