Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
105 calories in bananas. 75 calories in apples. If Mary only eats these fruits and her total calorie intake is 1215 how many of each fruit did she eat
Answer:
3 bananas and 12 apples.
Step-by-step explanation:
105b+ 75a = 1215 where b is number of bananas and a is number of apples.
Divide each number by 15:
7b + 5a = 81
5a must end in 5 or 10 so 7b must end in 1 or 6.
So we try:
21 and 60:
7 * 3 + 5 *1 2 = 81
So b = 3 and a = 12.
The solution is
The number of bananas is = 3 bananas
The number of apples is = 12 apples
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of apples be = a
Let the number of bananas be = b
Now , the equation will be
The number of calories in bananas = 105 calories
The number of calories in apples = 75 calories
The total calories Mary takes = 1215 calories
So ,
Total calories Mary takes = number of apples x number of calories in apples + number of bananas x number of calories in bananas
Substituting the values in the equation , we get
75a + 105b = 1215
Divide by 15 on both sides of the equation , we get
5a + 7b = 81
So , substituting the values of a = 12 and b = 3 , we get
5 ( 12 ) + 7 ( 3 ) = 81
60 + 21 = 81
81 = 81
Therefore , the vale of a is 12 and value of b is 3
Hence ,
The number of bananas is 3 bananas
The number of apples is 12 apples
To learn more about equations click :
https://brainly.com/question/19297665
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what's 4/6 in decimal form
You may use a calculator for this item.
To be a member at Salls gym, there is a one-time sign-up fee plus a monthly fee for each month of membership. The
table shows the total cost to be a member of the gym for different numbers of months.
Number of Months
3
Total Cost
$53.97
$77.94
$125.88
6
12
Create a function that gives the total cost, C. in dollars, to be a member of the gym given the number of months, m, of
membership
Enter your function in the space provided.
+
х
-
. 18
1
=
%
+ B
get rr
Answer:77.94
Step-by-step explanation:
please help me out and ill give brainliest
what is the solution to 2x+10=28
Answer:
x=9
Step-by-step explanation:
2x + 10 =28 <---- subtract by 10
2x = 18 < divide by 2
x = 9
What is an equation of the line formed when the line y = 2x + 4 is reflected over the line y = x?
Answer:
its b
Step-by-step explanation:
Point VV is located at (-5,3)(−5,3) on the coordinate plane. Point VV is reflected over the yy-axis to create point V'V ′ . Point V'V ′ is then reflected over the xx-axis to create point V''V ′′ . What ordered pair describes the location of V''?V ′′ ?
Given:
Point V is located at (-5,3) on the coordinate plane.
It is reflected over the y-axis to create point V'.
Point V' is then reflected over the x-axis to create point V''.
To find:
The location of point V''.
Solution:
We have,
Point V= (-5,3)
If point V reflected over the y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]V(-5,3)\to V'(5,3)[/tex]
If point V' reflected over the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]V'(5,3)\to V''(5,-3)[/tex]
Therefore, the ordered pair (5,-3) describes the location of V''.
Answer:
5,3
Step-by-step explanation:
Point VV is located at (-4,6)(−4,6) on the coordinate plane. Point VV is reflected over the xx-axis to create point V'V
′
. What ordered pair describes the location of V'?V
′
?
Fiona is typing an essay on her computer. She types 5/8 of a page in 1/2 hour. At this rate, how many pages can Fiona type in 1 hour? Enter the answer as an improper fraction (fraction greater than one).
Answer:
5/4 page
Step-by-step explanation:
5/8 * 2 = 10/8 = 5/4
The segments in each figure are tangent to the circle at the points shown.
Find each length.
9514 1404 393
Answer:
RS = RT = 2
Step-by-step explanation:
The two tangents from a point are the same length.
RS = RT
y = y^2/2
y^2/2 -y = 0
y(y/2 -1) = 0 . . . . factor out y
Values of y that make these factors zero are ...
y = 0 . . . . . . . . true if points R, S, T are coincident on the circle
y/2 -1 = 0 ⇒ y = 2
Then the segment lengths are ...
RS = RT = 2
I need help..........
Answer:
[C] 3 ⅔Explanation:
5 ⅓ - 1 ⅔
= 3 ⅔
Two triangular pyramids have slant heights of 8 inches and 11 inches. What is the ratio of the surface area of the small pyramid to the surface area of the large pyramid?
Group of answer choices
Answer:8:11
Step-by-step explanation:if it’s a ratio it would be 8 to 11 but for the to it would be a ratio operation and equals :
how many solutions does 4x+1=3x+2
one solution
no solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
If you simplify the equation, it becomes 1x+1=2. Then you subtract the 1 from 2 and get 1x=1. Therefore, x=1 which is ONE SOLUTION.
I’ll give u brainiest pls help me im so lost
Answer:
(f o g)(4)=27
Step-by-step explanation:
(f o g)(4)=2x+5
f(g(4))=2x+5
f(4²-2(4)+3)=2x+5
f(16-8+3)=2x+5
f(8+3)=2x+5
f(11)=2x+5
f(11)=2(11)+5
f(11)=22+5
f(11)=27
Therefore, (f o g)(4)=27
What is the measure of 1?
A. 15
B. 35
С. 37
D. 79
Answer:
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
I am not sure about it, but maybe 15.
<1 = (2x + 5) and <2 = (3x - 10)
<1 = (2 × 15 + 5 ) and <2 = (3 × 15 - 10)
<1 = (30 + 5) and <2 = (45 - 10)
<1 = 35 and <2 = 35
Hope this helps, thank you !!
Find the area...
HURRY!!!!!
Answer: 38
Step-by-step explanation:
factorise 343m^3 + 27n^3
answer:m3+27n3
Step-by-step explanation:
Rewrite
27
n
3
as
(
3
n
)
3
.
m
3
+
(
3
n
)
3
Since both terms are perfect cubes, factor using the sum of cubes formula,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
where
a
=
m
and
b
=
3
n
.
Hope it helps ☺️☺️☺️
I WILL GIVE BRIANLIEST!!!!!!!!
Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.
Answer: This might be a little too late but I believe the answer is 2; distance increases by 2 miles per hour. I hope you have a great day and good luck!
Use the Distributive Property to complete the equivalent expression. 4(y-3)=___-___? Please answer quickly!!!
Answer:
4y-12
Step-by-step explanation:
ok in distributive propertie you multiply the number or term on the outside of the parenthesis with the terms in the inside in other words. 4 ×y and 4× 12
Answer:
4y-12
Step-by-step explanation:
I did something just like this
Factor the expression
12x^2 +7x+1
Answer:
[tex]\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}[/tex]
Step-by-step explanation:
A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,
[tex]\sf\implies p(x)= 12x^2+7x+1[/tex]
And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .
Step 1: Multiply the coefficient of x² with the constant term .
Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .
Step 2: Look out for the possible factors of the number .
Here the obtained number is 12 . So the possible factors of 12 is
1 *12-1*-122*6-2*-64*3-4*-3Step3: Choose the factor whose sum is equal to the coefficient of the middle term .
Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .
Step 4: After proper arrangements take out the common term and then factorise.
After suitable rearrangment we get ,
[tex]\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}[/tex]
Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?
Answer:
20%
Step-by-step explanation:
Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?
The Percentage of the down payment is given as:
Down payment/Cost of the house × 100
Down payment = $25,000
Cost of the house = $125,000
$25,000/$125,000 × 100
= 20%
The percentage is 20%
17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it
represent?
Given the side length, determine whether the triangle is acute, right, obtuse or not a triangle.
10, 23, 41
A. Acute
B. Right
C. Obtuse
D. Not a triangle
Since 41 is greater than the sum of the other two sides this is not a triangle.
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balance of $2,200. Using the formula I = P r t, how many years was his money invested? Work backwards-but find the Interest first!
Answer:
15 years
Step-by-step explanation:
Given data
P=$1,000
R=8%
A= $2200
I= A-P
I=2200-1000
I=$1200
Applying the formula
I=PRT/100
1200=1000*8*T/100
cross multiply
1200*100= 8000T
120000= 8000T
divide both sides by 8000
T=120000/8000
T=15 years
Hence the time is 15 years
Q1 - Understanding simultaneous equations
Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0
The LSA of square based pyramid with equal edges is 144 square root 3. Find the area of base ?
a2=LSA/3–√=144
a a a a a a a a a a a a a
what is the inverse of f(x)=2-2x
for the pairs below put each question in slope intercept form and whether the graphs of the line will be identical, parallel, or intersecting, Also determine how many solutions the system of equations will have
which of the following represents a function of protein within a organism ?
A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection
Answer:
A
Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT
Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?
Answer:
hello
Step-by-step explanation:
If Earth's total mass is 6 x 10^24 kg, what proportion of this is lost every year?
Step-by-step explanation:
This is well within the mass uncertainty of 0.01% (6×1020 kg), so the estimated value of Earth's mass is unaffected by this factor. Mass loss is due to atmospheric escape of gases. About 95,000 tons of hydrogen per year (3 kg/s) and 1,600 tons of helium per year are lost through atmospheric escape.