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
Solve the following equation for the variable. 2m – 3 =23
m =
What was the FIRST step?
Answer:add 3
Step-by-step explanation:
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).
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?
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.
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
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)
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
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
for each diagram, determine whether angles 1 & 2 form a linear pair, heeelp please :(
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?
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
Answer:
235 metersStep-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
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.
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
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
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!).
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 ]
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
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
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
Does x=-3 fall on the interval (-♾, -4)? Yes or no and why:
help..help..!! ASAP..
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
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
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
Answer:
No, because 7/8=0.875, which is not greater than 1.
evaluate 3+11t−9u when t=9 and u=11
Answer:
3Step-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?
Answer:
length = 22cmwidth = 14cmStep-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
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
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
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.
Answer:
7
Step-by-step explanation:
Prime factors of 4732:
4732 = 2² × 7 × 13²As 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