2(t+5)+t=4
Solving linear equations

Answers

Answer 1

Answer:

t = -2

Step-by-step explanation:

To solve this equation, we can use algebraic techniques.

2(t + 5) + t = 4 Distribute the 2.

2t + 10 + t = 4 Combine like terms (variables).

3t + 10 = 4 Subtract 10 from both sides of the equation.

3t = -6 Divide by 3 on both sides of the equation.

t = -2


Related Questions

Solve the following equation for the variable. 2m – 3 =23
m =
What was the FIRST step?

Answers

Answer:add 3

Step-by-step explanation:

2m - 3 = 23
+ 3 + 3
2m = 26
/ 2 / 2
m = 13
The first step is to add three to each side. And m is equal to 13.

A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the students mistake and how the student can tell the difference between a maximum and minimum. (Write your answer in at least 2 complete sentences).

Answers

Answer: Answer is in the step.

Step-by-step explanation:

The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.

How many metal doorstops 15 cm by 10 cm by 5 cm can be cast from a spherical ball of metal of diameter 400 mm?

Answers

Answer:

[tex]\approx \bold{44\ or\ 45}[/tex]

Step-by-step explanation:

Given

Diameter of spherical metal ball = 400 mm = 40 cm

Radius of spherical metal ball = 20 cm

Volume of a sphere is given as:

[tex]V_{Sphere} = \dfrac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3[/tex]

Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm

It is of cuboid shape.

Volume of a cuboid is given as:

[tex]V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3[/tex]

Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.

[tex]\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}[/tex]

HELP PLEASE The value of a stock can be modeled by this equation. V = 23n + 42; where V is the value, in dollars, and n represents the number of months since purchase. Which statements correctly interpret the slope of the line? A. The slope of the line is 42. This means that the value of the stock increases $42 for each additional month since purchase. B. The slope of the line is 42. This means that the initial value of the stock was $42. C. The slope of the line is 23. This means that the initial value of the stock was $23. D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Answers

Answer:

D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Step-by-step explanation:

In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.

42 is not the slope because it is the y-intercept.

D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.

Answer:

D.

Step-by-step explanation:

The slope is the coefficient of n ( the month) which is 23.

This means the stock increases each month by a factor of 23.

What is the solution set of the following equation? 4\5^2= 2x- 4\5

Answers

Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

Find the Area of a square with length(x + 7) and width (x + 7)

Answers

Answer:

x^2 +14x+49

Step-by-step explanation:

Area = length * width

        = ( x+7) * ( x+7)

       FOIL

    first: x^2

    outer: 7x

   inner: 7x

    last: 7*7 = 49

Add them together

x^2 +7x+7x + 49

Combine like terms

x^2 +14x+49

please help me on this

Answers

Answer: True

Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median

False. Median cannot be a latitude.

for each diagram, determine whether angles 1 & 2 form a linear pair, heeelp please :(

Answers

Answer:

only (12) has a linear pair

Step-by-step explanation:

Recall that for two angles to be called a "Linear Pair", they need to satisfy several conditions:

1) The two lines must intersect at a shared point (i.e common vertex)

2) The two angles must be adjacent (i.e immediately next to one another)

3) The two angles must add up to 180 degrees.

In our case,

in (9), the angles are not adjacent and  they do not add up to 180 deg, so this is NOT a linear pair

in (10), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair

in (11), the lines do not intersect at a shared point(they do not have a common vertex). Plus we cannot be 100% sure that they add up to 180 deg. Hence this is not a linear pari

in (12), we can see that the angles satisfy all 3 conditions above. This is a linear pair.

does anyone know this?

Answers

Answer:

f(-9) = 279

Step-by-step explanation:

f(x) = 4x^2 + 7x + 18

f(-9) = 4(-9)^2 +7(-9) + 18

       = 4(81) - 63 + 18

       = 324 - 63 + 18

       = 279

A circular go-kart track has a diameter of 75 meters. Approximately how long is the track? A225 meters B100 meters C750 meters D500 meters

Answers

Answer:

235 meters

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circular shape.

the problem also requires that we find the perimeter of the circular track

the expression for the perimeter of a circle is given as

[tex]C= 2\pi r[/tex]

Given

diameter of the circular track = 75 meters

radius of circular track = d/2 = 75/2= 37.5 meters

Substituting our data into the expression for perimeter we have

[tex]C= 2*3.142 *37.5\\\\C= 235.65[/tex]

Approximately the length is 235 meters.

Please help me with question​

Answers

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

There are 15 gummy bears. If they are evenly divided between 7 people, how many gummy bears does each person get? Choose the correct answer from the choices below.

Answers

Answer:

2.14285714286 or 2 1/7 gummy bears

Step-by-step explanation:

15/7=2.14285714286 or 2 1/7

Answer:

Hello! Answer below, with an picture too :)

Step-by-step explanation:

:::::: [tex]2[/tex] [tex]1/7[/tex]

The answer is 2 1/7 or 2 R 1

Steps:

So we do 15 divided by 7.

[tex]\sqrt[7]{15}[/tex]

***********************************

0 2

....................

7 ⟌ 1 5

- 0

.............

1 5

- 1 4

.............

1

Steps below in the picture, too!

By:✨RobloxYt✨

(Picture attached)

Combine the radicals 4V7 +3V28​

Answers

Answer:

The answer is

[tex]10 \sqrt{7} [/tex]

Step-by-step explanation:

To solve the radicals make sure that they both have the same radical

That's

[tex]4 \sqrt{7} + 3 \sqrt{28} [/tex]

Simplify 3√28 in order to combine the radicals

We have

[tex]3 \sqrt{4 \times 7} = 3 \times \sqrt{4} \times \sqrt{7} [/tex][tex] = 3 \times 2 \times \sqrt{7} [/tex][tex] = 6 \sqrt{7} [/tex]

So we now have

[tex]4 \sqrt{7} + 6 \sqrt{7} [/tex]

Using the rules of surds

That's

[tex]x \sqrt{a } + y \sqrt{a} = (x + y) \sqrt{a} [/tex]

Simplify the expression

We have

[tex]4 \sqrt{7} + 6 \sqrt{7 } = (4 + 6) \sqrt{7} [/tex]

We have the final answer as

[tex]10 \sqrt{7} [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

[tex]4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}[/tex]

Multiply the trinomials.
(zº-x+9)(+*+x+15)
A. X* - 23x? - 16x + 135
B. **+23x? - 6x +135
C. X* + 3x? - 16x+135
D. **- 3x² - 6x +135
Please select the best answer from the choices provided

Answers

Answer:

b

Step-by-step explanation:

Mrs. Grundy has two children. Given that Mrs. Grundy has at least one child born on a Monday, what is the probability that both her children were born on Mondays? Assume that each child was equally likely to be born on any day of the week, and that the two birthdays are independent (Mrs. Grundy doesn't have twins!).

Answers

Answer:

1/7

Step-by-step explanation:

If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.

Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.

Make M the subject of the expression T = WP [ M² - ( M-S)² ]​

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

T = WP [ M² - (M - S)² ]

T = WP [ M² - (M² - 2MS + S²) ]

T = WP (2MS - S²)

T = 2WPMS - WPS²

T + WPS² = 2WPMS

M = (T + WPS²) / (2WPS)

hydrogen and oxygen come pouring out it drips and it dribbles and it comes from a spout​

Answers

Answer:

[tex]\Large \boxed{\mathrm{Water}}[/tex]

Step-by-step explanation:

Hydrogen and oxygen are elements that form the compound known as water.

Water comes pouring out, it drips, it dribbles, and it comes from a spout.

Answer:

Water

Step-by-step explanation:

Most of the water in our world is a combination of "ordinary" hydrogen atoms with "ordinary" oxygen atoms, but there are actually three different istopes (atomic varieties) of hydrogen and each of those can combine with oxygen to give a different kind of water.

If deuterium (hydrogen whose atoms contain one neutron and one proton instead of just one proton by itself) combines with oxygen, we get something called heavy water, which is about 10% heavier than normal water.

Similarly, tritium (hydrogen with two neutrons and one proton) can combine with oxygen to make something called super heavy water.

Water comes pouring out it drips and it dribbles and it comes from a spout​.

HELPPL Enter the solution from least to greatest (x-2)(3x+3)=0

Answers

Answer:

x = -1, 2

Step-by-step explanation:

Step 1: Write out equation

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

Step 2: Solve each individual root

x - 2 = 0

x = 2

3x + 3 = 0

3x = -3

x = -1

Step 3: Arrange from least to greatest

-1 < 2

So x = -1, 2

Answer:

x = -1    x = 2

Step-by-step explanation:

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

Using the zero product property

x-2 =0    3x+3 =0

x=2       3x = -3

             x = -3/3

             x = -1

Can someone help me please

Answers

It does help to draw a picture, like the question suggests.

The two “triangles” (the second one is inside the first) formed by Julie and the tree and their shadows are similar triangles, meaning that they have proportional leg lengths.

Therefore, you can make a ratio between each triangle’s pair of legs (i.e. AB:BD and EC:CD).

The tree’s shadow is a sum of Julie’s shadow and the distance between them, so its length would be x + 56 feet.

You would set up the ratios in order like so:

AB EC
BD equals CD

(Imagine there are fraction lines between AB/BD and EC/CD.)

You can solve the unknown factors in the ratio by cross-multiplying and isolating x:

i.e. if AB = x

x EC
BD equals CD becomes CD*x = BD*EC.

If there are two instances of x (like “x” and “x + 56” in the case of this problem), you can subtract one from the other to “isolate x” (i.e. 3x = x + y becomes 2x = y).

Does x=-3 fall on the interval (-♾, -4)? Yes or no and why:

Answers

No

-3 is greater than -4 and does not lie in the range between (-infinity, -4)

Number line:

<————-o—-|——|——-...
-infinity -4 -3 -2

help..help..!! ASAP..

Answers

so you divide the rational number if the decimal on both sides if one is greater and the other less than the number that's greater should have the greater sign. but, if theres a number that's less then you should put the less than sign and if both numbers are the same number you should put the equal sign

-5-(-11)-(-11).
what’s the answer

Answers

Answer: [tex]17[/tex]

Subtract

[tex]-5-(-11)=6[/tex]

Subtract

[tex]6-(-11)=17[/tex]

Answer:

[tex]\Large \boxed{17}[/tex]

Step-by-step explanation:

-5-(-11)-(-11)

=17

This is one way to do this;

1. => (-5−-11)−(0−11)

=> 6−(0−11)

=>6−-11

=17

Another way to do this;

First remove the parentheses.

-5+11+11

And than simplify.

6+11

=17

Answer;17

PLEASE help me solve this problem

Answers

Answer:

x = 7.5

Step-by-step explanation:

We see that in order to find x, we need to use tangent, which is opposite over adjacent.

Step 1: Set up equation

tan37° = x/10

Step 2: Multiply 10 on both sides

10tan37° = x

Step 3: Evaluate

x = 7.53554

Step 4: Round

x = 7.5

Answer:

137

Step-by-step explanation:

the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137

Is 7/8 greater than one

Answers

Answer: No

Reason: Any number divided by a number bigger than it will always have a result less than 1.

Answer:

No, because 7/8=0.875, which is not greater than 1.

evaluate 3+11t−9u when t=9 and u=11

Answers

Answer:

3

Step-by-step explanation:

[tex]3+11t-9u\\t = 9\\u =11\\\\3+11(9) -9(11)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:11\left(9\right)\::\quad 99\\=3+99-9\left(11\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(11\right)\::\quad 99\\=3+99-99\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+99-99\:\\:\quad 3[/tex]

Answer:

[tex] - 19[/tex]

Step-by-step explanation:

[tex]3 + 11t - 9u = 3 + 11(9) - 9(11) = 3 + 99 - 121 = - 19[/tex]

The length of a rectangle is 6 meters less than twice its width. If the area of the rectangle is 308 m2, what are its dimensions?

Answers

Answer:

length = 22cmwidth = 14cm

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 308 m²

The length of a rectangle is 6 meters less than twice its width is written as

l = 2w - 6

Substitute this into the above formula and solve for the width

We have

308 = (2w - 6)w

2w² - 6w = 308

2w² - 6w - 308 = 0

Divide both sides by 2

We have

w² - 3w - 154 = 0

( w + 11)( w - 14) = 0

w + 11 = 0 w - 14 = 0

w = - 11 w = 14

Since the width cannot be negative

w = 14

Substitute w = 14 into l = 2w - 6

That's

l = 14(2) - 6

l = 28 - 6

l = 22

Therefore

length = 22cm

width = 14cm

Hope this helps you

(0.04)
3x + 2y?
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.
* G G
Source ✓ C
B I 5 xu xê
Format
IX = :: HE " ES
Styles​

Answers

Answer:

17

Step-by-step explanation:

3x + 2y = 3(3) + 2(4) = 9 + 8 = 17

Answer:

[tex]\huge\boxed{17}[/tex]

Step-by-step explanation:

[tex]3x+2y\\\\\text{When: }\boxed{x=3; y=4}\\\\3(3)+2(4)\\\\3*3+2*4\\\\9+8\\\\\boxed{17}[/tex]

Please hurry 12 people fit comfortably in a 5 by 5 feet area. Use this value to estimate the size of a crowd that is 10 feet deep on ONE side of the street along a 1 mile section of a parade route. 25344 people 25344 people 52800 people 52800 people 110000 people 110000 people 20 people 20 people

Answers

hope this helps! Its the answer key to something almost exact

The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

12 people fit comfortably in a 5 by 5 feet area.

Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.

The fractions:

12/25 = x/(5280×10)

After cross multiplication:

25x = 633600

x = 633600/25

x = 25344

Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

I need more help because I still do NOT understand this

Answers

Answer:

f-9=12 Answer=20

24=g+14 Answer=10

Step-by-step explanation:

take the numbers you already have, let's start with the first equation:

f-9=12

find out what they are when you put them together

12+9=f

f=20

Second equation:

24=g+14

do the same, except subtract this time

24-14=g

g=10

Hope this helps (:

Find the number by which 4732 should be divided to get perfect square.​

Answers

Answer:

7

Step-by-step explanation:

Prime factors of 4732:

4732 = 2² × 7 × 13²

As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²

So the number by which 4732 should be divided is 7

4732/7 = 676 = 26²
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