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Degger [83]
3 years ago
15

Emily has 32 grams of a 25% sugar syrup, but this is just too sweet for her! How much pure water should she add to have a 10% sy

rup?
Mathematics
1 answer:
ikadub [295]3 years ago
5 0
By this information, we know: (just so you know, when I will write the equation, the multiplication sign will be ^)

25%+0%=10%
32g    xg   (32+x)g
Now, we create an equation:

(0.25^32)+(0^x)=0.1^(32+x)
8+0=3.2+0.1x
8=3.2+0.1x
4.8=0.1x
48=x
Answer: 48 gram.
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I plan to sell lemonade. If I spend $15 on products and then plan on selling glasses for $2 each, how many glasses do I need to
Helga [31]
8 glasses in order to make money because if you sell each glass for $2 times that by 8 it’s $16
3 0
4 years ago
I’m confused on this answer anyone know it?
slamgirl [31]

Answer:

y=\frac{26}{7},\:x=-\frac{15}{7}

Step-by-step explanation:

\begin{bmatrix}4x+5y=10\\ -2x+y=8\end{bmatrix}\\\\\begin{bmatrix}-2\cdot \frac{10-5y}{4}+y=8\end{bmatrix}\\\\

-5+\frac{7y}{2}=8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\-5\cdot \:2+\frac{7y}{2}\cdot \:2=8\cdot \:2\\-10+7y=16\\y=\frac{26}{7}\\

\mathrm{For\:}x=\frac{10-5y}{4}\\\mathrm{Subsititute\:}y=\frac{26}{7}\\x=\frac{10-5\cdot \frac{26}{7}}{4}\\\\

x=-\frac{15}{7}\\

7 0
3 years ago
A. What is the monthly payment for a<br>$3,200 five-year loan with an APR of 3%.​
madreJ [45]

Answer:

$57.50

Step-by-step explanation:

we know that

The monthly loan payment formula is equal to

M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^{12t}}{(1+\frac{r}{12})^{12t}-1}

where

M ----> is the monthly payment

P ---> the amount borrowed

r ---> interest rate as decimal

t ---> length of the loan in years

we have

t=5\ years\\ P=\$3,200\\ r=3\%=3/100=0.03

substitute in the formula

M=\frac{3,200(\frac{0.03}{12})(1+\frac{0.03}{12})^{12(5)}}{(1+\frac{0.03}{12})^{12(5)}-1}

M=\frac{3,200(0.0025)(1.0025)^{60}}{(1.0025)^{60}-1}

M=\$57.50

4 0
3 years ago
1. If OQ and RT are parallel lines which statement is true?
Kaylis [27]

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

    And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

3 0
3 years ago
Read 2 more answers
At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr
dmitriy555 [2]
X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also 

2x + 4y  = 38 ...........(2)

(1) and (2) are the required equations

b)  Find how many maches are in progress by solivng the above equations:-

x + y  =  13   multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38   Adding to removes the  terms in x:-

2y = 12

y = 6  

so x = 13-6 = 7

So the answer is  6 double matches and 7 singles are in progress.
5 0
3 years ago
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