Answer:
12 miles
Step-by-step explanation:
Since, Sumalee ran 34 miles more than Heather.
therefore
Distance run by Sumalee = Distance run by Heather + 34 miles
S = H + 34
But, S = 46 miles (given)
So, 46 = H + 34
H = 46 - 34
H = 12 miles
Distance run by Heather = 12 miles
In the equation y=x-9 the variable to y is the ?
Answer:
-9
Step-by-step explanation:
This equation is written in slope-intercept form. -9 represents the y-intercept, and x represents the slope, which is positive one over one.
Explain how to get the variable alone in the equation.
3x = 18
Answer: Divide each term in 3 x = 18 by 3 and simplify. x = 6
Step-by-step explanation:
Simplify. Write your answer as a mixed number when possible.
9/36
Answer:
1/4
Step by step explanation:
Division only needs to take the ninth part of both which would be 9x4=36 and 9x1=9
I need to know where to put it on the number line! Please help
Answer:
Graph uploaded!
Step-by-step explanation:
First, let's simplify the inequality before graphing it on the line.
2x + 4 < 8=> 2x < 8 - 4=> 2x < 4=> x < 2Now, let's graph it on the line. Please consider looking at my graph.
Hoped this helped!
Pitt's Pit Stop sold $15,733.50 worth of gasoline yesterday. Regular sold for $3.30 a gallon and premium sold for $3.45 a gallon. If the station sold 370 more gallons of regular than premium, answer the following questions.
How many gallons of each type of gasoline were sold?
Answer:
2141.7 gallons of regular gasoline were sold
1771.7 gallons of premium gasoline were sold
Step-by-step explanation:
in this question you need to make two equations one for total price and the other for total gallons. assume R is for gallons of regular gasoline and P is for gallons of premium gasoline sold.
[tex]3.3R +3.45P=15733.5[/tex]
[tex]P = R-370[/tex]
then substitute one of them at the other:
[tex]3.3R +3.45(R-370)=15733.5[/tex]
by solving the equation R = 2520
substitute R in equation P = R-370:
P = 2520-370 = 2150
A 2155 gallons of premium gasoline and 2525 gallons of regular gasoline were sold.
Let's use a system of equations to solve this problem.
Let:
R = Number of gallons of regular gasoline sold
P = Number of gallons of premium gasoline sold
given the following information:
Regular gasoline price: $3.30 per gallon
Premium gasoline price: $3.45 per gallon
Total sales: $15,733.50
Relationship between regular and premium sales: R = P + 370
create two equations based on the information:
Sales equation: 3.30R + 3.45P = 15733.50
Relationship equation: R = P + 370
Now substitute the second equation into the first equation:
3.30(P + 370) + 3.45P = 15733.50
Distribute and solve for P:
3.30P + 1221 + 3.45P = 15733.50
6.75P = 14512.50
P = 2155
Now that we know P, find R using the relationship equation:
R = P + 370
R = 2155 + 370
R = 2525
To know more about sold here
https://brainly.com/question/20495631
#SPJ3
Can somebody please help me with this?
Answer:
d fasho
Step-by-step explanation:
Steve travels 2 times as fast as Jill. Traveling in opposite directions, they are 120 miles apart after 2.5 hours. Find their rates of travel.
let's recall that d = rt, distance = rate * time.
we know that Steve is twice as fast as Jill, so say if Jill has a speed or rate of "r", then Steve is traveling at 2r fast, now we know they both in opposite directions have covered a total of 120 miles, so if Jill covered "d" miles then Steve covered 120 -d, check the picture below.
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Jill&d&r&2.5\\ Steve&120-d&2r&2.5 \end{array}~\hfill \begin{cases} d=2.5r\\[2em] 120-d=5r \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{120-2.5r=5r\implies 120=7.5r}\implies \cfrac{120}{7.5}=r\implies \stackrel{Jill's}{16=r}~\hfill \stackrel{Steve's}{32}[/tex]
what is the answer to this
Answer:
D) 14.25
Step-by-step explanation:
It's basically saying when you use the ruler to measure something it will measure in 0.25. And will continue on to 0.50, 0.75, 1.00, 1.25, etc..
how do you make 2 1/2 in to a % ?
Answer:
250%
Step-by-step explanation:
an easy way for doing this is look at the 1/2 part because 1 divided by 2 is 0.5 yo move the decimal 2 spaces to the right and you have 050 which is 50 and then you just add the 2 in front of the 50 and you have 250 which in this case is 250%
The sum of the digits of a two-digits numeral is 10. The number named by the numeral is 18 more than the number named when the digits are revered. What is the original number?
Answer:
46
Step-by-step explanation:
4+6 = 10
64-46 = 18
Find the area of the circle.
Use 3.14 for n.
Show your work on this slide! You will
input just your answer on the next slide!
Il m
Step-by-step explanation:
area of circle= πr²
=3.14×(5.5)²
=3.14×30.25
=
≠=≈95
PLEASE HELP WITH THIS
Step-by-step explanation:
a. For any function, in order for a vertical stretch to happen, a must be greater than 1 so the answer to a is
a>1.
b. For b, the graph will compress when a is between 0 and 1 but not equal to both.
So the answer to. b is
0<a<1.
c.A vertical stretch happens when a>1, a horinzontal compression also happens when a>1, if you confused let me explain
Consider the graph above. Let say we have a quadratic function
[tex](x - 3) {}^{2} [/tex]
Let that be the parent function, if we stretch the function, a must be greater than 1 as we established in a.
In the fist picture, let say a=2.7
The function is stretched in the vertical direction
Now, let say if we affect x.
Here, let a=2.7 we know have
The function is being compressed when a>1, so that means that
we stretched vertically or compressed horizontally when a>1. It depends on the location of a. If a is outside the parenthesis, we will stretch by a factor of a. If a is I side the parenthesis, we will compress by a factor of a.
d. A must be negative or a<0
ΔART ~ ΔEFG
Find m.
3 1/3
7 1/2
1
19 1/5
Answer:
m = 3 1/3
Step-by-step explanation:
since the triangles are similar then ΔATR must be isosceles also
we can set up this proportion:
AR/TR = EF/EG
12/8 = 5/m
cross-multiply to get:
12m = 40
m = 40/12 or 20/6 which is 3 1/3
Answer:
3 1/3
Step-by-step explanation:
As both are similar, sides are in same proportion.
So, AR : EF = 12 : 5 = 2.4
=> TR : GF = 8 : m = 2.4
=> m = 8/2.4 = 10/3 = 3 1/3
BRAINLIEST.
YEAH IT IS.
What is the elapsed time between 2:45 and 6:55?
3 hours and 55 minutes
4 hours
4 hours and 55 minutes
4 hours and 10 minutes
D, Four hours and ten minutes
6 - 2 = 4
55 - 45 = 10
If possible, solve the system of linear equations for x and y.
0.5x - y = -5
x + 0.5y = 10
Multiply this radical expressions. (√ 7X - 3 + 4) 2
Answer:
[tex]{ \tt{( \sqrt{7} x - 3 + 4) {}^{2} }} \\ { \tt{ = ( \sqrt{7}x + 1) {}^{2} }}[/tex]
» Split the bracket:
[tex]{ \tt{ = ( \sqrt{7} x + 1)( \sqrt{7}x + 1) }}[/tex]
» Open brackets following distributive property;
[tex]{ \tt{ = {7x}^{2} + 2 \sqrt{7} x + 1}}[/tex]
QUESTION ON PIC THX!
ANSWER THIS FOR ALL MY POINTS, ALSO BRAINLIEST
Answer:
≈8.59 to 8.6 cm
Solve.
4 Is 24 equal to 2.4? Explain.
[tex]\huge\text{Answer:}[/tex]
No, 24 is not equal to 2.4 [tex]\huge\checkmark[/tex]
[tex]\huge\text{Step By Step explanation:}[/tex]
Hi there, hope you are having a nice day! :)
No, 24 isn't equal to 2.4.
24 =twenty=four
2.4=two point four
Remember, the decimal point (.) means a lot.
If we move it 1 unit to the right, we multiply by 10:
2.4 *10=24
If we move it 1 unit to the left, we divide by 10:
24÷10=2.4
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
please help asap!!!!!
Answer:
-7
Step-by-step explanation:
Solve:
[tex]\sqrt[3]{-343}[/tex][tex]\sqrt[3]{-1(7 * 7*7)}[/tex][tex]\sqrt[3]{-1} * \sqrt[3]{7*7*7}[/tex][tex]-1 * 7[/tex][tex]-7[/tex]The answer is [tex]\boxed{-7}[/tex]
-Chetan K
A builder wants to increase the size of one of his square patios. The patio measures 16 feet on each side. The builder plans to increase each side of the patio to be 125% of its current measure.
How many square feet larger is the area of the new patio than the area of the current patio?
Step-by-step explanation:
so, the area of an original patio is
16×16 = 256 ft²
now, when a side is increased to 125% of its original length, it means the original length is multiplied by 1.25
because the area calculation multiplies 2 sides, that increase factor is introduced twice into this multiplication.
so, it squares regarding the total area.
in other words
area new = 16×1.25 × 16×1.25 = 16² × 1.25² =
= area old × 1.25² = area old × 1.5625 =
= 400 ft²
the new patio area is therefore 400-256 = 144 ft² larger.
Answer:
144 square feet
Step-by-step explanation:
The new dimension of the patio is the product of the original dimension and the scale factor. The builder's plans say the new dimension is 125% of the current dimension, so the new side length is ...
125% × 16 ft = 1.25 × 16 ft = 20 ft
The new patio area is (20 ft)² = 400 ft².
The original patio area is (16 ft)² = 256 ft².
The new patio is 400 -256 = 144 square feet larger than the current patio.
__
Additional comment
Words like "increase", "larger", "more" and similar can suggest either addition of an amount, or multiplication by a factor. The problem statement must be parsed carefully in order to determine exactly what is meant. There can be some ambiguity when "larger" and "times larger" are used with percentages. (That is not the case here.)
The word "of" almost always means "times" in this context. So "125% of its current measure" means "125% times the current measure." Multiplication by the factor 1.25 is rightly described as an increase.
Covert 6 1/2% to a decimal show work
Answer:
.065
Step-by-step explanation:
6 1/2 %
=6.5%
=.065
When changing a percent to a decimal, move the decimal point two places to the left.
OR,
percent means per hundred.
(6 1/2)/100
= (13/2)/100
= 13/2 × 1/100
= 13/200
= .065
OR
6 1/2 %
= 6.5/100
=.065
for the following grouped frequency distribution table of exam score, how many students had scores higher than X =54 table shown below.
Answer:
The answer is c 7 students got higher than 54
5. Three men shared a sum of money among themselves. One received 1/3 of the amount; the other received 175 and the third received $112.00. How much money did they share?
Answer:
$224.00 I the answer to both questions about this so A is correct
The law of conservation of matter states that matter is neither created or 33 points
destroyed. Therefore, matter on Earth is not lost or gained, it only
changes form. The elements that compose the biomolecules of any
organism have been recycled millions of times. This brief food web
represents the flow of energy and carbon is a grassland ecosystem
Note: (1) The label g/m2 represents g/m2. When the grasshopper dies,
how much carbon matter will be available to the decomposers in the
food web?
Cellular Respiration
Shrew
A. 10 g/m2
B. 55 g/m2
C. 65 g/m2
D. 110 g/m
Answer:
B)65 g/m2
Step-by-step explanation:
I did it on usa test prep
Answer:
C
Step-by-step explanation:
I did it on USATestPrep
$600 for a
2 years
at 7%.
Answer:
I think it's 686
Step-by-step explanation:
Use the algebra tiles to help you solve the equation 2x-3+7.
The solution is______.
Answer:
2 (+2)
Step-by-step explanation:
For a work banquet, Jack can spend no more than $200 on dessert. Fruit pies cost $9 each and cakes cost $20 each. Write the linear inequality that models the situation
Graph the inequality.
Answer:
he could do 20 pies and 1 cake P+C=200$
Step-by-step explanation:
P=pie
P=20
C=cake
C=1
Arrange the numbers below from least to greatest.
0.113.
8.9%
5/16
0.03
3/10
Answer:
3/10, 8.9%, 0.113, 3/10, 5/16
Step-by-step explanation:
we can change each one to a percent to make it easier:
0.113 = 11.3%
8.9%
5/16 = 0.3125 = 31.25%
0.03 = 3%
3/10 = 30/100 = 30%
Least to Greatest:
3/10, 8.9%, 0.113, 3/10, 5/16
Find the 2nd term in the expansion of (x+4y)^6
in simplest form.
[tex]\textit{binomial expanded }2^{nd}\textit{ term for}\qquad (x+4y)^6\qquad \begin{cases} \stackrel{\textit{2nd term}}{k=1}\\ n=6 \end{cases} \\\\ \stackrel{\stackrel{coefficient}{\downarrow }}{\left(\cfrac{6!}{1!(6-1)!}\right)} \qquad \stackrel{\stackrel{\textit{first term factor}}{\downarrow }}{\left( x \right)^{6-1}} \qquad \stackrel{\stackrel{\textit{second term factor}}{\downarrow }}{\left( 4y\right)^1}\qquad \implies 6(x)^5(4y)^1\implies 24x^5y[/tex]
