Answer:
N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28
Step-by-step explanation:
Using variables N=natalies age and F=Freds age
N+F=42 ----> N=42-F (take this and plug it into the other equation)
F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]
-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]
So N+28=42 or N=14.
Can someone plsss help me with this one problem plsss I’m trying to get a 90 and also can you explain how you got your answer
Find the slope of the line?
Answer:
m=3/4
Step-by-step explanation:
First, let us remind ourselves of the slope formula: m=rise/run=([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])
Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).
And let 3=[tex]x_{1}[/tex], -6=[tex]y_{1}[/tex], -1=[tex]x_{2}[/tex], -9=[tex]y_{2}[/tex].
1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)
2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4
3. As a result, the slope of the line is 3/4
I need help please with this assignment
Answer:
a) 10 yards and 10[tex]\sqrt{3}[/tex] yards
Step-by-step explanation:
The intersection of the support beams in the middle form four right angles, since all four sides are equal. Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):
180°-90°-30° = 60°
This is a 30-60-90 triangle (if you don't know what that is, you can look it up). In a 30-60-90 triangle, the hypotenuse is 2x. In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:
2x = 10
x = 5
Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.
The side directly across from the 30° angle is just x, which is equal to 5. The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].
Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:
5*2 = 10
(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]
*I hope this makes sense!*
Find the area of the trapezoid
Answer:
42 square units
Step-by-step explanation:
Each square on the grid is 2 units by 2 units.
Bases: OC = 10; SK = 4
Height: OS = 6
area = (b1 + b2)h/2
area = (10 + 4)(6)/2
area = 42
Answer: 42 square units
Answer:
The area of trapezoid is 42 square unit.
Step-by-step explanation:
According to the question
A trapezoid which is consist of many square shapes and each grid square equals 2 units . We need to find the area of trapezoid.
To calculate the area of trapezoid we have given :-
Base ; SK = 4 and OC = 10Height ; OS = 6Formula for finding area of trapezoid is ½ × (Base 1 + Base 2) × Height .Finding the area of trapezoid :-
Area of trapezoid = ½ × ( 4 + 10 ) × 6
Add 4 and 10.Area of trapezoid = ½ × 14 × 6
Multiply 14 by 10.Area of trapezoid = ½ × 84
Divide by 2.Area of trapezoid = 42
Hence,
The area of trapezoid is 42 square unit.
Create 5 geometric sequences
Answer:
Below.
Step-by-step explanation:
The formula for a GS is:
a1, a1r, a1 r^2, a1r^3 .....
Examples are:
1. First term a1 =2 and common ratio r = 3, the first 4 terms are:
2, 2*3, 2*3^2, 2*3^3
= 2, 6, 18, 54
2. a1 = 1 , r = 0.5:
1, 0.5, 0.25, 0.125 .....
3. a1 = -4, r = -2:-
-4, 8, -16, 32 ...
4. a1 = 0.1, r = -3:
0.1, -0.3, 0.9, -2.7 .....
5. a1 = 2, r = 1/3:
2, 2/3, 2/9, 2/27 .....
Fred kicks a ball with a force of 20n to George, who is 5m away. How much work was done to the ball
Answer:
100 Nm
Step-by-step explanation:
Work is said to be done when a force moves a body through a distance. This may be expressed as
work done = Force * distance
where
work done is measured in joules or Newton-meter
Force is measured in newtons and distance in meters
Substituting the given values,
Workdone = 20 * 5
= 100 Nm
= 100J
can anyone help me on this question but explain? What’s the difference between gross and net income
Answer & Explanation:
Gross income is the total pay you earn before any reduction and adjustments (taxes, mortgage, etc.).
Net income is the amount of pay you get after taxes and other reductions are taken out of your gross income; it's the money that you "actually get to take home in your pocket with" on the payday.
solve for x round to your nearest tenth
From Monday through Friday Sydney works in the bookstore on one day and in the tutoring center where on another doing on Saturday and Sunday Sydney cooks food 50% of the days how many days does Sidney work in a week what percent of Monday through Friday does Sidney work
Answer: The other 50%
Step-by-step explanation:
Please help me! Only have about 10 minutes until I have to submit this assignment!
Answer:
626
Step-by-step explanation
A number of days, d, of sunshine is not 28.
Answer:
D<28
Step-by-step explanation:
The required inequality for the given situation can be, d > 28 or d < 28
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, write an inequality for the situation.
Situation :-
A number of days, d, of sunshine is not 28.
Here, the number of days is said to be not equal to 28, we are not given if is less or more,
It can be less or more than 28 but not 28
So, here we get two situations,
Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.
If we write these situations, mathematically, the inequalities we will have, are :-
1) The number of days, d, of sunshine is less than 28 :-
d < 28
2) The number of days, d, of sunshine is more than 28 :-
d > 28
Therefore, the two inequalities, are :- d < 28 or d > 28
Hence, the required inequality for the given situation can be, d > 28 or d < 28
Learn more about Inequalities, click;
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The complete question is :-
Write an inequality for the situation.
A number of days, d, of sunshine is not 28 .
If you flip two coins, what is the probability that both will be heads?
Answer:
1/2 x 1/2 = 1/4
Step-by-step explanation:
P(H,H) = 1/2 x 1/2 = 1/4
P(T,T) = 1/2 x 1/2 = 1/4
P(H,T) = 1/2 x 1/2 = 1/4
P(T,H) = 1/2 x 1/2 = 1/4
Find the range of the function
Answer:
y€ R : y greater than or equal to 1
The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet
Answer:
[tex]Area = 1560ft^2[/tex]
Step-by-step explanation:
Given
See attachment for playground
Required
Determine the area
The playground is a trapezoid. So;
[tex]Area = \frac{1}{2}(Sum\ parallel\ sides) * Height[/tex]
From the attachment, the parallel sides are: 68ft and 36ft
The height is: 30ft
So, the area is:
[tex]Area = \frac{1}{2}(68ft + 36ft) * 30ft[/tex]
[tex]Area = \frac{1}{2}(104ft) * 30ft[/tex]
[tex]Area = 52ft * 30ft[/tex]
[tex]Area = 1560ft^2[/tex]
pls help i’m so confused omg!!
Answer:
C or B
Step-by-step explanation:
Answer:
Your answer is A.
Step-by-step explanation:
You can count the arrow lines as the 2s. Such as, 2, 4, 6, 8 and 10.
So, the line 'x' is being divided by how many lines touching it.
Therefore, it is 1.
Then you add x and 6, the number which the line is ending with.
Your final answer is, F(x) = 1
x+6
Hope this helped!
Is 0.25 greater or less than 0.03?
Answer:
0.25 is greater than 0.03
Step-by-step explanation:
You can solve this simply by looking for the position of the decimal point.
For example, 0.30 is greater than 0.25, but 0.03 is less than 0.250.25 > 0.03
Answer:
Step-by-step explanation:
the area of a rhombus is 24 square inches. What is the are of a similar rhombus that is 7 times as big?
Answer: 1176
Step-by-step explanation: 7 times as big is an ambiguous term; it could mean that each side is 7 times larger, or that the shape as a whole is made 7 times larger. We'll assume that each side is made larger, because that is typically the type of question asked. The area is given as base times height, and obviously, if you dilate the non-base side by 7, the height will also become 7, because those two lines from a triangle with the third side being the base extended. I wish I could draw you a diagram but i can;t. Either way, think of it as a square, and if we dilate each side by 7, then we have lx7xwx7=Area, which is lw*49=49 times the given area, which is 24; 24*49=1176
PLSSS HELP IF YOU KNOW THISS:))
Classify the following expression by degree and number of terms. 6 - 3x - 2
Answer:
in terms of degree it is linear equation
in terms of number of terms it is binomial
You have 1/8 gallon of melted crayon wax. You pour the wax equally into 8 different molds to make new crayons. What fraction of a cup of melted wax is in each mold? Think: 1 gallon is 16 cups.
PLS HELP
Answer:
2 cups
Step-by-step explanation:
16/8=2 so it is 2 cups
Evaluate -14 - 6 - 12 =??
Answer: -32
Step-by-step explanation: -14 - 6 - 12 = -32
Please help!!! I’ll mark you as brainliest!!!!!!
0.138613961 as a percent rounded to the nearest tenth
Answer:
13.9%
Step-by-step explanation :
Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.
0.138613961 ------ when multiplying by 100 you move two spots the decimal point: 13.8613961 %
The tenth digit is 8 the number after that is 6
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.
6 is greater than 5 so we add 1 to 8 and becomes 9
If the digit after the tenth was 4 instead 6, for example,then it would be 13.8%
Is the cost of candy proportional to pounds of candy?
Answer:
Step-by-step explanation:
Yes
Answer:
yes because for every pound it is $3
Step-by-step explanation:
i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30
can anyone help with this pls
Answer:
9
Step-by-step explanation:
Answer:
9 square meter
Step-by-step explanation:
1/2xbasexheight
=1/2x6x3
=9
plz mark me as brainliest.
can y'all help me pls
Answer:
The change in delta x would be 0 in the second option because the change is exactly the same.
Hurry!! MATH TEST
Ill make brainlest and pls show work if you can!
Answer:
option 1
Step-by-step explanation:
if it goes up 6 then it means plus 6
Need help with the answer
Answer:
volume of cylinder=pi×r²×h
volume of cylinder =3.14×(11ft)²×10ft
volume of cylinder=3799.4ft³
i need the prosces plis is for tomorrow
Answer:
p) = 17/30 or 0.56
q) = 191/60 or 3 11/60
the arc measure of a sector in a given circle is doubled. will the area of the sector also be doubled? explain your reason
Answer:
Yes. See explanation below.
Step-by-step explanation:
The central angle and the degree arc measure of a sector of a circle are equal. Doubling the arc measure, doubles the central angle measure and vice versa.
Area of the the original sector:
[tex] A_{sector} = \dfrac{n}{360^\circ}\pi r^2 [/tex]
where n = measure of the central angle of the sector
Since the central angle and the arc measure of the sector are equal, changing the arc measure has the same effect as changing the central angle measure.
Let's double the central angle to 2n which is the same as doubling the arc measure.
Area of the sector with a doubled central angle or a doubled arc measure:
[tex] A_{sector} = \dfrac{2n}{360^\circ}\pi r^2 [/tex]
Now we divide the area of the doubled sector by the area of the original sector.
[tex]\dfrac{\frac{2n}{360^\circ}\pi r^2}{\frac{n}{360^\circ}\pi r^2} =[/tex]
Simplify:
[tex]= \dfrac{2n}{n} \times \dfrac{360^\circ \pi r^2}{360^\circ \pi r^2}[/tex]
[tex] = \dfrac{2n}{n} [/tex]
[tex] = 2 [/tex]
The ratio of the areas is 2, so the area of the sector is indeed doubled.
Answer: Yes.
PLEASE HELP ASAP!!!
In △PQS, m∠Q=22°, m∠S=65°, and s=176. Identify q rounded to the nearest tenth.
Using the law of sines, the value of q is: D. 72.7.
What is the Law of Sines?The law of sines is given as: sin A/a = sin B/b = sin C/c.
Thus, given △PQS, where:
m∠Q = 22°
m∠S = 65°
s = 176
Applying the law of sines, we have:
sin Q/q = sin S/s
Substitute
sin 22/q = sin 65/176
q = (sin 22 × 176)/sin 65
q = 72.7
Therefore, using the law of sines, the value of q is: D. 72.7.
Learn more about the law of sines on:
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